TSTP Solution File: SWW299+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW299+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:06:50 EDT 2024
% Result : Theorem 201.98s 201.91s
% Output : CNFRefutation 202.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW299+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 05:50:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 201.56/201.75 %-------------------------------------------
% 201.56/201.75 % File :CSE---1.7
% 201.56/201.75 % Problem :theBenchmark
% 201.56/201.75 % Transform :cnf
% 201.56/201.75 % Format :tptp:raw
% 201.56/201.75 % Command :java -jar mcs_scs.jar %d %s
% 201.56/201.75
% 201.56/201.75 % Result :Theorem 161.750000s
% 201.56/201.75 % Output :CNFRefutation 161.750000s
% 201.56/201.75 %-------------------------------------------
% 201.56/201.76 %------------------------------------------------------------------------------
% 201.56/201.76 % File : SWW299+1 : TPTP v8.2.0. Released v5.2.0.
% 201.56/201.76 % Domain : Software Verification
% 201.56/201.76 % Problem : Hoare's Logic with Procedures 434795, 5000 axioms selected
% 201.56/201.76 % Version : Especial.
% 201.56/201.76 % English :
% 201.56/201.76
% 201.56/201.76 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 201.56/201.76 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 201.56/201.76 % Source : [Bla11]
% 201.56/201.76 % Names : hoare_434795.5000.p [Bla11]
% 201.56/201.76
% 201.56/201.76 % Status : ContradictoryAxioms
% 201.56/201.76 % Rating : 0.67 v8.2.0, 0.58 v8.1.0, 0.64 v7.5.0, 0.66 v7.4.0, 0.77 v7.3.0, 0.66 v7.1.0, 0.65 v7.0.0, 0.67 v6.4.0, 0.62 v6.3.0, 0.71 v6.2.0, 0.80 v6.1.0, 0.87 v6.0.0, 0.83 v5.5.0, 0.85 v5.4.0, 0.89 v5.3.0, 0.93 v5.2.0
% 201.56/201.76 % Syntax : Number of formulae : 5224 (1670 unt; 0 def)
% 201.56/201.76 % Number of atoms : 12727 (4451 equ)
% 201.56/201.76 % Maximal formula atoms : 13 ( 2 avg)
% 201.56/201.76 % Number of connectives : 8522 (1019 ~; 147 |; 734 &)
% 201.56/201.76 % ( 899 <=>;5723 =>; 0 <=; 0 <~>)
% 201.56/201.76 % Maximal formula depth : 22 ( 6 avg)
% 201.56/201.76 % Maximal term depth : 19 ( 2 avg)
% 201.56/201.76 % Number of predicates : 148 ( 147 usr; 0 prp; 1-6 aty)
% 201.56/201.76 % Number of functors : 386 ( 386 usr; 51 con; 0-7 aty)
% 201.56/201.76 % Number of variables : 16575 (16421 !; 154 ?)
% 201.56/201.76 % SPC : FOF_CAX_RFO_SEQ
% 201.56/201.76
% 201.56/201.76 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 201.56/201.76 % 2011-03-01 11:29:59
% 201.56/201.76 %------------------------------------------------------------------------------
% 201.56/201.76 %----Relevant facts (4983)
% 201.56/201.76 fof(fact_ext,axiom,
% 201.56/201.76 ! [V_g_2,V_f_2] :
% 201.56/201.76 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 201.56/201.76 => V_f_2 = V_g_2 ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_empty,axiom,
% 201.56/201.76 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 201.56/201.76 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_triple_Oinject,axiom,
% 201.56/201.76 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 201.56/201.76 ( c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2) = c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_H_2,V_com_H_2,V_fun2_H_2)
% 201.56/201.76 <=> ( V_fun1_2 = V_fun1_H_2
% 201.56/201.76 & V_com_2 = V_com_H_2
% 201.56/201.76 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_cut,axiom,
% 201.56/201.76 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 201.56/201.76 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 201.56/201.76 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 201.56/201.76 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_hoare__derivs_Oinsert,axiom,
% 201.56/201.76 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 201.56/201.76 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 201.56/201.76 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 201.56/201.76 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) ) ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_triple_Orecs,axiom,
% 201.56/201.76 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,c_Hoare__Mirabelle_Otriple_Otriple(T_c,V_fun1_2,V_com_2,V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_triple_Osimps_I2_J,axiom,
% 201.56/201.76 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,c_Hoare__Mirabelle_Otriple_Otriple(T_c,V_fun1_2,V_com_2,V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_empty__not__insert,axiom,
% 201.56/201.76 ! [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) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_insert__not__empty,axiom,
% 201.56/201.76 ! [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)) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_doubleton__eq__iff,axiom,
% 201.56/201.76 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.56/201.76 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 201.56/201.76 <=> ( ( V_a_2 = V_ca_2
% 201.56/201.76 & V_b_2 = V_d_2 )
% 201.56/201.76 | ( V_a_2 = V_d_2
% 201.56/201.76 & V_b_2 = V_ca_2 ) ) ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_singleton__inject,axiom,
% 201.56/201.76 ! [V_b_2,V_a_2,T_b] :
% 201.56/201.76 ( 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)))
% 201.56/201.76 => V_a_2 = V_b_2 ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_bot__apply,axiom,
% 201.56/201.76 ! [V_x_2,T_c,T_b] :
% 201.56/201.76 ( class_Orderings_Obot(T_b)
% 201.56/201.76 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_hoare__derivs_OSkip,axiom,
% 201.56/201.76 ! [V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,c_Com_Ocom_OSKIP,V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 201.56/201.76 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_a2_2,c_Com_Ocom_OSKIP,V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_Comp,axiom,
% 201.56/201.76 ! [V_R_2,V_d_2,V_Qa_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 201.56/201.76 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,V_ca_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 201.56/201.76 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Qa_2,V_d_2,V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 201.56/201.76 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,c_Com_Ocom_OSemi(V_ca_2,V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_the__elem__eq,axiom,
% 201.56/201.76 ! [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 ).
% 201.56/201.76
% 201.56/201.76 fof(fact_insert__absorb2,axiom,
% 201.56/201.76 ! [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) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_insert__code,axiom,
% 201.56/201.76 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 201.56/201.76 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 201.56/201.76 <=> ( V_y_2 = V_x_2
% 201.56/201.76 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_insert__commute,axiom,
% 201.56/201.76 ! [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)) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_com_Osimps_I12_J,axiom,
% 201.56/201.76 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_com_Osimps_I13_J,axiom,
% 201.56/201.76 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 201.56/201.76
% 201.56/201.76 fof(fact_com_Osimps_I3_J,axiom,
% 201.56/201.76 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 201.56/201.76 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 201.56/201.76 <=> ( V_com1_2 = V_com1_H_2
% 201.56/201.76 & V_com2_2 = V_com2_H_2 ) ) ).
% 201.56/201.76
% 201.56/201.76 fof(fact_subset__singletonD,axiom,
% 201.56/201.76 ! [V_x_2,V_A_2,T_b] :
% 201.56/201.76 ( 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)))))
% 201.56/201.76 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.56/201.77 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_singletonE,axiom,
% 201.56/201.77 ! [V_a_2,V_b_2,T_b] :
% 201.56/201.77 ( 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)))))
% 201.56/201.77 => V_b_2 = V_a_2 ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_singleton__iff,axiom,
% 201.56/201.77 ! [V_a_2,V_b_2,T_b] :
% 201.56/201.77 ( 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)))))
% 201.56/201.77 <=> V_b_2 = V_a_2 ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_folding__one_Osingleton,axiom,
% 201.56/201.77 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 201.56/201.77 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.56/201.77 => 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 ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_fold1Set__sing,axiom,
% 201.56/201.77 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 201.56/201.77 ( 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))
% 201.56/201.77 <=> V_a_2 = V_b_2 ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_insert__is__Un,axiom,
% 201.56/201.77 ! [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) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_insert__Diff__single,axiom,
% 201.56/201.77 ! [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) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Diff__insert2,axiom,
% 201.56/201.77 ! [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) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Diff__insert,axiom,
% 201.56/201.77 ! [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)))) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_order__refl,axiom,
% 201.56/201.77 ! [V_x,T_a] :
% 201.56/201.77 ( class_Orderings_Opreorder(T_a)
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_equalityCE,axiom,
% 201.56/201.77 ! [V_ca_2,T_b,V_B_2,V_A_2] :
% 201.56/201.77 ( V_A_2 = V_B_2
% 201.56/201.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.56/201.77 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) )
% 201.56/201.77 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_equalityI,axiom,
% 201.56/201.77 ! [V_B_2,V_A_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.56/201.77 => V_A_2 = V_B_2 ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_emptyE,axiom,
% 201.56/201.77 ! [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)))) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_insertE,axiom,
% 201.56/201.77 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 201.56/201.77 => ( V_a_2 != V_b_2
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_insertCI,axiom,
% 201.56/201.77 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 201.56/201.77 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 201.56/201.77 => V_a_2 = V_b_2 )
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_subsetD,axiom,
% 201.56/201.77 ! [V_ca_2,V_B_2,V_A_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_UnE,axiom,
% 201.56/201.77 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.56/201.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_UnCI,axiom,
% 201.56/201.77 ! [V_A_2,V_B_2,V_ca_2,T_b] :
% 201.56/201.77 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) )
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_DiffI,axiom,
% 201.56/201.77 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.56/201.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_DiffE,axiom,
% 201.56/201.77 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.56/201.77 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_empty__subsetI,axiom,
% 201.56/201.77 ! [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)) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_subset__refl,axiom,
% 201.56/201.77 ! [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)) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__upper1,axiom,
% 201.56/201.77 ! [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))) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__upper2,axiom,
% 201.56/201.77 ! [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))) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__absorb,axiom,
% 201.56/201.77 ! [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 ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Diff__subset,axiom,
% 201.56/201.77 ! [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)) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_le__fun__def,axiom,
% 201.56/201.77 ! [V_g_2,V_f_2,T_b,T_c] :
% 201.56/201.77 ( class_Orderings_Oord(T_c)
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.56/201.77 <=> ! [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))) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_mem__def,axiom,
% 201.56/201.77 ! [V_A_2,V_x_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.77 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__commute,axiom,
% 201.56/201.77 ! [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) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_linorder__linear,axiom,
% 201.56/201.77 ! [V_y,V_x,T_a] :
% 201.56/201.77 ( class_Orderings_Olinorder(T_a)
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.56/201.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_subset__Un__eq,axiom,
% 201.56/201.77 ! [V_B_2,V_A_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.77 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_set__eq__subset,axiom,
% 201.56/201.77 ! [T_b,V_B_2,V_A_2] :
% 201.56/201.77 ( V_A_2 = V_B_2
% 201.56/201.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_order__eq__iff,axiom,
% 201.56/201.77 ! [V_y_2,V_x_2,T_b] :
% 201.56/201.77 ( class_Orderings_Oorder(T_b)
% 201.56/201.77 => ( V_x_2 = V_y_2
% 201.56/201.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.56/201.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__Diff__cancel,axiom,
% 201.56/201.77 ! [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) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__left__absorb,axiom,
% 201.56/201.77 ! [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) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__left__commute,axiom,
% 201.56/201.77 ! [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)) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Diff__iff,axiom,
% 201.56/201.77 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.56/201.77 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.56/201.77 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__iff,axiom,
% 201.56/201.77 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.56/201.77 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.56/201.77 | hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Diff__idemp,axiom,
% 201.56/201.77 ! [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) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__Diff__cancel2,axiom,
% 201.56/201.77 ! [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) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Diff__subset__conv,axiom,
% 201.56/201.77 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.56/201.77 ( 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))
% 201.56/201.77 <=> 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))) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__assoc,axiom,
% 201.56/201.77 ! [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)) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__Diff,axiom,
% 201.56/201.77 ! [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)) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_bex__Un,axiom,
% 201.56/201.77 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 201.56/201.77 ( ? [B_x] :
% 201.56/201.77 ( 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)))
% 201.56/201.77 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.56/201.77 <=> ( ? [B_x] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.56/201.77 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.56/201.77 | ? [B_x] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 201.56/201.77 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_ball__Un,axiom,
% 201.56/201.77 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 201.56/201.77 ( ! [B_x] :
% 201.56/201.77 ( 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)))
% 201.56/201.77 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.56/201.77 <=> ( ! [B_x] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.56/201.77 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.56/201.77 & ! [B_x] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 201.56/201.77 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_equalityD1,axiom,
% 201.56/201.77 ! [T_b,V_B_2,V_A_2] :
% 201.56/201.77 ( V_A_2 = V_B_2
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_equalityD2,axiom,
% 201.56/201.77 ! [T_b,V_B_2,V_A_2] :
% 201.56/201.77 ( V_A_2 = V_B_2
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_order__eq__refl,axiom,
% 201.56/201.77 ! [V_y,V_x,T_a] :
% 201.56/201.77 ( class_Orderings_Opreorder(T_a)
% 201.56/201.77 => ( V_x = V_y
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_UnI1,axiom,
% 201.56/201.77 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_UnI2,axiom,
% 201.56/201.77 ! [V_A_2,V_B_2,V_ca_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_le__funD,axiom,
% 201.56/201.77 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 201.56/201.77 ( class_Orderings_Oord(T_c)
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.56/201.77 => 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))) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__absorb1,axiom,
% 201.56/201.77 ! [V_B_2,V_A_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.77 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_Un__absorb2,axiom,
% 201.56/201.77 ! [V_A_2,V_B_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.56/201.77 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_eqset__imp__iff,axiom,
% 201.56/201.77 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 201.56/201.77 ( V_A_2 = V_B_2
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.77 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_eqelem__imp__iff,axiom,
% 201.56/201.77 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 201.56/201.77 ( V_x_2 = V_y_2
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.77 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_in__mono,axiom,
% 201.56/201.77 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.56/201.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 201.56/201.77
% 201.56/201.77 fof(fact_order__antisym__conv,axiom,
% 201.56/201.77 ! [V_x_2,V_y_2,T_b] :
% 201.56/201.77 ( class_Orderings_Oorder(T_b)
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 201.56/201.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.56/201.77 <=> V_x_2 = V_y_2 ) ) ) ).
% 201.56/201.77
% 201.56/201.78 fof(fact_Diff__partition,axiom,
% 201.56/201.78 ! [V_B_2,V_A_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.78 => 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 ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_eq__mem__trans,axiom,
% 201.56/201.78 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 201.56/201.78 ( V_a_2 = V_b_2
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_ord__eq__le__trans,axiom,
% 201.56/201.78 ! [V_c,V_b,V_a,T_a] :
% 201.56/201.78 ( class_Orderings_Oord(T_a)
% 201.56/201.78 => ( V_a = V_b
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_xt1_I3_J,axiom,
% 201.56/201.78 ! [V_c,V_b,V_a,T_a] :
% 201.56/201.78 ( class_Orderings_Oorder(T_a)
% 201.56/201.78 => ( V_a = V_b
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_set__rev__mp,axiom,
% 201.56/201.78 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_set__mp,axiom,
% 201.56/201.78 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_subset__trans,axiom,
% 201.56/201.78 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_ord__le__eq__trans,axiom,
% 201.56/201.78 ! [V_c,V_b,V_a,T_a] :
% 201.56/201.78 ( class_Orderings_Oord(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.56/201.78 => ( V_b = V_c
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_xt1_I4_J,axiom,
% 201.56/201.78 ! [V_c,V_a,V_b,T_a] :
% 201.56/201.78 ( class_Orderings_Oorder(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.56/201.78 => ( V_b = V_c
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_order__antisym,axiom,
% 201.56/201.78 ! [V_y,V_x,T_a] :
% 201.56/201.78 ( class_Orderings_Oorder(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.56/201.78 => V_x = V_y ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_order__trans,axiom,
% 201.56/201.78 ! [V_z,V_y,V_x,T_a] :
% 201.56/201.78 ( class_Orderings_Opreorder(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_xt1_I5_J,axiom,
% 201.56/201.78 ! [V_x,V_y,T_a] :
% 201.56/201.78 ( class_Orderings_Oorder(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.56/201.78 => V_x = V_y ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_xt1_I6_J,axiom,
% 201.56/201.78 ! [V_z,V_x,V_y,T_a] :
% 201.56/201.78 ( class_Orderings_Oorder(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Un__least,axiom,
% 201.56/201.78 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.56/201.78 => 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)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Un__mono,axiom,
% 201.56/201.78 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 201.56/201.78 => 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))) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Diff__mono,axiom,
% 201.56/201.78 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 201.56/201.78 => 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))) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_double__diff,axiom,
% 201.56/201.78 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.56/201.78 => 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 ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_equalityE,axiom,
% 201.56/201.78 ! [T_b,V_B_2,V_A_2] :
% 201.56/201.78 ( V_A_2 = V_B_2
% 201.56/201.78 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.78 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_le__funE,axiom,
% 201.56/201.78 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 201.56/201.78 ( class_Orderings_Oord(T_c)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.56/201.78 => 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))) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_DiffD1,axiom,
% 201.56/201.78 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_DiffD2,axiom,
% 201.56/201.78 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.56/201.78 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_linorder__le__cases,axiom,
% 201.56/201.78 ! [V_y,V_x,T_a] :
% 201.56/201.78 ( class_Orderings_Olinorder(T_a)
% 201.56/201.78 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insert__Diff1,axiom,
% 201.56/201.78 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 201.56/201.78 => 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) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insert__Diff__if,axiom,
% 201.56/201.78 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 201.56/201.78 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 201.56/201.78 => 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) )
% 201.56/201.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 201.56/201.78 => 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)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_subset__insert,axiom,
% 201.56/201.78 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 201.56/201.78 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.78 => ( 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)))
% 201.56/201.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insert__subset,axiom,
% 201.56/201.78 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 201.56/201.78 ( 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))
% 201.56/201.78 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 201.56/201.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_subset__insert__iff,axiom,
% 201.56/201.78 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 201.56/201.78 ( 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)))
% 201.56/201.78 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.78 => 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)) )
% 201.56/201.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_diff__single__insert,axiom,
% 201.56/201.78 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 201.56/201.78 ( 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))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.78 => 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))) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_empty__fold1SetE,axiom,
% 201.56/201.78 ! [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)) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_fold1Set__nonempty,axiom,
% 201.56/201.78 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 201.56/201.78 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Diff__insert__absorb,axiom,
% 201.56/201.78 ! [V_A_2,V_x_2,T_b] :
% 201.56/201.78 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.78 => 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 ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insert__Diff,axiom,
% 201.56/201.78 ! [V_A_2,V_a_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.56/201.78 => 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 ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_empty__Diff,axiom,
% 201.56/201.78 ! [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)) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Diff__empty,axiom,
% 201.56/201.78 ! [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 ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Diff__cancel,axiom,
% 201.56/201.78 ! [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)) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Un__empty__left,axiom,
% 201.56/201.78 ! [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 ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Un__empty__right,axiom,
% 201.56/201.78 ! [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 ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Un__empty,axiom,
% 201.56/201.78 ! [V_B_2,V_A_2,T_b] :
% 201.56/201.78 ( 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))
% 201.56/201.78 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.56/201.78 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Un__insert__right,axiom,
% 201.56/201.78 ! [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)) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_Un__insert__left,axiom,
% 201.56/201.78 ! [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)) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_bot__least,axiom,
% 201.56/201.78 ! [V_x,T_a] :
% 201.56/201.78 ( class_Orderings_Obot(T_a)
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_all__not__in__conv,axiom,
% 201.56/201.78 ! [V_A_2,T_b] :
% 201.56/201.78 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.56/201.78 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_ex__in__conv,axiom,
% 201.56/201.78 ! [V_A_2,T_b] :
% 201.56/201.78 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.56/201.78 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_empty__iff,axiom,
% 201.56/201.78 ! [V_ca_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_equals0D,axiom,
% 201.56/201.78 ! [V_a_2,T_b,V_A_2] :
% 201.56/201.78 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.56/201.78 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_subset__empty,axiom,
% 201.56/201.78 ! [V_A_2,T_b] :
% 201.56/201.78 ( 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))))
% 201.56/201.78 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insertI1,axiom,
% 201.56/201.78 ! [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))) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insert__iff,axiom,
% 201.56/201.78 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 201.56/201.78 <=> ( V_a_2 = V_b_2
% 201.56/201.78 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insert__ident,axiom,
% 201.56/201.78 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 201.56/201.78 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 201.56/201.78 => ( 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)
% 201.56/201.78 <=> V_A_2 = V_B_2 ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insertI2,axiom,
% 201.56/201.78 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 201.56/201.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insert__absorb,axiom,
% 201.56/201.78 ! [V_A_2,V_a_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.56/201.78 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_subset__insertI,axiom,
% 201.56/201.78 ! [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))) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_subset__insertI2,axiom,
% 201.56/201.78 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.78 => 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))) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_insert__mono,axiom,
% 201.56/201.78 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 201.56/201.78 => 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))) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_asm,axiom,
% 201.56/201.78 ! [V_Ga_2,V_ts_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_Ga_2))
% 201.56/201.78 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_weaken,axiom,
% 201.56/201.78 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] :
% 201.56/201.78 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 201.56/201.78 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup1CI,axiom,
% 201.56/201.78 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 201.56/201.78 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 201.56/201.78 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 201.56/201.78 => 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)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup1E,axiom,
% 201.56/201.78 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.56/201.78 ( 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))
% 201.56/201.78 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 201.56/201.78 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_minus__apply,axiom,
% 201.56/201.78 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.56/201.78 ( class_Groups_Ominus(T_b)
% 201.56/201.78 => 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)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__apply,axiom,
% 201.56/201.78 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 201.56/201.78 ( class_Lattices_Olattice(T_b)
% 201.56/201.78 => 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)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__bot__left,axiom,
% 201.56/201.78 ! [V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Obounded__lattice__bot(T_a)
% 201.56/201.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__bot__right,axiom,
% 201.56/201.78 ! [V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Obounded__lattice__bot(T_a)
% 201.56/201.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__eq__bot__iff,axiom,
% 201.56/201.78 ! [V_y_2,V_x_2,T_b] :
% 201.56/201.78 ( class_Lattices_Obounded__lattice__bot(T_b)
% 201.56/201.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 201.56/201.78 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 201.56/201.78 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_le__supE,axiom,
% 201.56/201.78 ! [V_x,V_b,V_a,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => ( 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))
% 201.56/201.78 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.56/201.78 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__mono,axiom,
% 201.56/201.78 ! [V_d,V_b,V_c,V_a,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 201.56/201.78 => 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))) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__least,axiom,
% 201.56/201.78 ! [V_z,V_x,V_y,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 201.56/201.78 => 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)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_le__supI,axiom,
% 201.56/201.78 ! [V_b,V_x,V_a,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 201.56/201.78 => 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)) ) ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__absorb1,axiom,
% 201.56/201.78 ! [V_x,V_y,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.56/201.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_eq__mem,axiom,
% 201.56/201.78 ! [V_y_2,V_x_2,T_b] :
% 201.56/201.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 201.56/201.78 <=> V_x_2 = V_y_2 ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup_Oidem,axiom,
% 201.56/201.78 ! [V_a,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__idem,axiom,
% 201.56/201.78 ! [V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup_Ocommute,axiom,
% 201.56/201.78 ! [V_b,V_a,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => 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) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_inf__sup__aci_I5_J,axiom,
% 201.56/201.78 ! [V_y,V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Olattice(T_a)
% 201.56/201.78 => 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) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__commute,axiom,
% 201.56/201.78 ! [V_y,V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => 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) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup_Oleft__idem,axiom,
% 201.56/201.78 ! [V_b,V_a,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => 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) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_inf__sup__aci_I8_J,axiom,
% 201.56/201.78 ! [V_y,V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Olattice(T_a)
% 201.56/201.78 => 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) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__left__idem,axiom,
% 201.56/201.78 ! [V_y,V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => 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) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup_Oleft__commute,axiom,
% 201.56/201.78 ! [V_c,V_a,V_b,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => 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)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_inf__sup__aci_I7_J,axiom,
% 201.56/201.78 ! [V_z,V_y,V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Olattice(T_a)
% 201.56/201.78 => 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)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__left__commute,axiom,
% 201.56/201.78 ! [V_z,V_y,V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => 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)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup_Oassoc,axiom,
% 201.56/201.78 ! [V_c,V_b,V_a,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => 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)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_inf__sup__aci_I6_J,axiom,
% 201.56/201.78 ! [V_z,V_y,V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Olattice(T_a)
% 201.56/201.78 => 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)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_sup__assoc,axiom,
% 201.56/201.78 ! [V_z,V_y,V_x,T_a] :
% 201.56/201.78 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.78 => 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)) ) ).
% 201.56/201.78
% 201.56/201.78 fof(fact_rev__predicate1D,axiom,
% 201.56/201.78 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] :
% 201.56/201.78 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 201.56/201.79 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_predicate1D,axiom,
% 201.56/201.79 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] :
% 201.56/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 201.56/201.79 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.56/201.79 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_sup1I1,axiom,
% 201.56/201.79 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 201.56/201.79 ( hBOOL(hAPP(V_A_2,V_x_2))
% 201.56/201.79 => 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)) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_sup1I2,axiom,
% 201.56/201.79 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 201.56/201.79 ( hBOOL(hAPP(V_B_2,V_x_2))
% 201.56/201.79 => 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)) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_inf__sup__ord_I3_J,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Lattices_Olattice(T_a)
% 201.56/201.79 => 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))) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_sup__ge1,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.79 => 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))) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_inf__sup__ord_I4_J,axiom,
% 201.56/201.79 ! [V_x,V_y,T_a] :
% 201.56/201.79 ( class_Lattices_Olattice(T_a)
% 201.56/201.79 => 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))) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_sup__ge2,axiom,
% 201.56/201.79 ! [V_x,V_y,T_a] :
% 201.56/201.79 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.79 => 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))) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_le__iff__sup,axiom,
% 201.56/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.56/201.79 ( class_Lattices_Osemilattice__sup(T_b)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.56/201.79 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_le__sup__iff,axiom,
% 201.56/201.79 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.56/201.79 ( class_Lattices_Osemilattice__sup(T_b)
% 201.56/201.79 => ( 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))
% 201.56/201.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 201.56/201.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_le__supI1,axiom,
% 201.56/201.79 ! [V_b,V_a,V_x,T_a] :
% 201.56/201.79 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.56/201.79 => 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))) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_le__supI2,axiom,
% 201.56/201.79 ! [V_a,V_b,V_x,T_a] :
% 201.56/201.79 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 201.56/201.79 => 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))) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_sup__absorb2,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Lattices_Osemilattice__sup(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.56/201.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_diff__eq__diff__less__eq,axiom,
% 201.56/201.79 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.56/201.79 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.56/201.79 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 201.56/201.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_folding__one_Oremove,axiom,
% 201.56/201.79 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.56/201.79 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.56/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.79 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.56/201.79 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 201.56/201.79 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.56/201.79 => 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)))))) ) ) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_fold1Set_Ointros,axiom,
% 201.56/201.79 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 201.56/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 201.56/201.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.56/201.79 => 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)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_psubset__insert__iff,axiom,
% 201.56/201.79 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 201.56/201.79 ( 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)))
% 201.56/201.79 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 201.56/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 201.56/201.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 201.56/201.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.79 => 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)) )
% 201.56/201.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 201.56/201.79 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 201.56/201.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.79 => ( 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)
% 201.56/201.79 => 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)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_Diff1__fold__graph,axiom,
% 201.56/201.79 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 201.56/201.79 ( 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))
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.79 => 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))) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_folding__one_Oinsert__remove,axiom,
% 201.56/201.79 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.56/201.79 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.56/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.56/201.79 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.56/201.79 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 201.56/201.79 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.56/201.79 => 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)))))) ) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_folding__one_Oinsert,axiom,
% 201.56/201.79 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.56/201.79 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.56/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.56/201.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.56/201.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.56/201.79 => 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)) ) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_nonempty__iff,axiom,
% 201.56/201.79 ! [T_b,V_A_2] :
% 201.56/201.79 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.56/201.79 <=> ? [B_x,B_B] :
% 201.56/201.79 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_B)
% 201.56/201.79 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_B)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_Sup__fin_Oidem,axiom,
% 201.56/201.79 ! [V_x,T_a] :
% 201.56/201.79 ( class_Lattices_Olattice(T_a)
% 201.56/201.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_Powp__mono,axiom,
% 201.56/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.56/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.79 => 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))) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_finite_OemptyI,axiom,
% 201.56/201.79 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_finite_OinsertI,axiom,
% 201.56/201.79 ! [V_a_2,V_A_2,T_b] :
% 201.56/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.56/201.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_finite__Diff,axiom,
% 201.56/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.56/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.56/201.79 => 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))) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_order__less__irrefl,axiom,
% 201.56/201.79 ! [V_x,T_a] :
% 201.56/201.79 ( class_Orderings_Opreorder(T_a)
% 201.56/201.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_linorder__neq__iff,axiom,
% 201.56/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.56/201.79 ( class_Orderings_Olinorder(T_b)
% 201.56/201.79 => ( V_x_2 != V_y_2
% 201.56/201.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 201.56/201.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_not__less__iff__gr__or__eq,axiom,
% 201.56/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.56/201.79 ( class_Orderings_Olinorder(T_b)
% 201.56/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 201.56/201.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 201.56/201.79 | V_x_2 = V_y_2 ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_linorder__less__linear,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Orderings_Olinorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.56/201.79 | V_x = V_y
% 201.56/201.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_linorder__antisym__conv3,axiom,
% 201.56/201.79 ! [V_x_2,V_y_2,T_b] :
% 201.56/201.79 ( class_Orderings_Olinorder(T_b)
% 201.56/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 201.56/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 201.56/201.79 <=> V_x_2 = V_y_2 ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_linorder__neqE,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Orderings_Olinorder(T_a)
% 201.56/201.79 => ( V_x != V_y
% 201.56/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.56/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_less__imp__neq,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Orderings_Oorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.56/201.79 => V_x != V_y ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_order__less__not__sym,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Orderings_Opreorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.56/201.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_order__less__imp__not__less,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Orderings_Opreorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.56/201.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_order__less__imp__not__eq,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Orderings_Oorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.56/201.79 => V_x != V_y ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_order__less__imp__not__eq2,axiom,
% 201.56/201.79 ! [V_y,V_x,T_a] :
% 201.56/201.79 ( class_Orderings_Oorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.56/201.79 => V_y != V_x ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_order__less__asym_H,axiom,
% 201.56/201.79 ! [V_b,V_a,T_a] :
% 201.56/201.79 ( class_Orderings_Opreorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.56/201.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_xt1_I9_J,axiom,
% 201.56/201.79 ! [V_a,V_b,T_a] :
% 201.56/201.79 ( class_Orderings_Oorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.56/201.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_ord__eq__less__trans,axiom,
% 201.56/201.79 ! [V_c,V_b,V_a,T_a] :
% 201.56/201.79 ( class_Orderings_Oord(T_a)
% 201.56/201.79 => ( V_a = V_b
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 201.56/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_xt1_I1_J,axiom,
% 201.56/201.79 ! [V_c,V_b,V_a,T_a] :
% 201.56/201.79 ( class_Orderings_Oorder(T_a)
% 201.56/201.79 => ( V_a = V_b
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 201.56/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_psubset__trans,axiom,
% 201.56/201.79 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.56/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.56/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_ord__less__eq__trans,axiom,
% 201.56/201.79 ! [V_c,V_b,V_a,T_a] :
% 201.56/201.79 ( class_Orderings_Oord(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.56/201.79 => ( V_b = V_c
% 201.56/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_xt1_I2_J,axiom,
% 201.56/201.79 ! [V_c,V_a,V_b,T_a] :
% 201.56/201.79 ( class_Orderings_Oorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.56/201.79 => ( V_b = V_c
% 201.56/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_order__less__trans,axiom,
% 201.56/201.79 ! [V_z,V_y,V_x,T_a] :
% 201.56/201.79 ( class_Orderings_Opreorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 201.56/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 201.56/201.79
% 201.56/201.79 fof(fact_xt1_I10_J,axiom,
% 201.56/201.79 ! [V_z,V_x,V_y,T_a] :
% 201.56/201.79 ( class_Orderings_Oorder(T_a)
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 201.56/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_order__less__asym,axiom,
% 201.68/201.79 ! [V_y,V_x,T_a] :
% 201.68/201.79 ( class_Orderings_Opreorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.68/201.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_linorder__cases,axiom,
% 201.68/201.79 ! [V_y,V_x,T_a] :
% 201.68/201.79 ( class_Orderings_Olinorder(T_a)
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.68/201.79 => ( V_x != V_y
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite,axiom,
% 201.68/201.79 ! [V_A_2,T_b] :
% 201.68/201.79 ( class_Finite__Set_Ofinite(T_b)
% 201.68/201.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__code,axiom,
% 201.68/201.79 ! [V_A_2,T_b] :
% 201.68/201.79 ( class_Finite__Set_Ofinite(T_b)
% 201.68/201.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_fold__graph__imp__finite,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 201.68/201.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_diff__eq__diff__less,axiom,
% 201.68/201.79 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.68/201.79 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.79 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.68/201.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 201.68/201.79 ! [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) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 201.68/201.79 ! [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) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_less__fun__def,axiom,
% 201.68/201.79 ! [V_g_2,V_f_2,T_b,T_c] :
% 201.68/201.79 ( class_Orderings_Oord(T_c)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.68/201.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.68/201.79 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_linorder__not__less,axiom,
% 201.68/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.79 ( class_Orderings_Olinorder(T_b)
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 201.68/201.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_linorder__not__le,axiom,
% 201.68/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.79 ( class_Orderings_Olinorder(T_b)
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_linorder__le__less__linear,axiom,
% 201.68/201.79 ! [V_y,V_x,T_a] :
% 201.68/201.79 ( class_Orderings_Olinorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_order__less__le,axiom,
% 201.68/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.79 ( class_Orderings_Oorder(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 201.68/201.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.79 & V_x_2 != V_y_2 ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_less__le__not__le,axiom,
% 201.68/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.79 ( class_Orderings_Opreorder(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 201.68/201.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.79 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_order__le__less,axiom,
% 201.68/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.79 ( class_Orderings_Oorder(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 201.68/201.79 | V_x_2 = V_y_2 ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_leI,axiom,
% 201.68/201.79 ! [V_y,V_x,T_a] :
% 201.68/201.79 ( class_Orderings_Olinorder(T_a)
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_not__leE,axiom,
% 201.68/201.79 ! [V_x,V_y,T_a] :
% 201.68/201.79 ( class_Orderings_Olinorder(T_a)
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_linorder__antisym__conv1,axiom,
% 201.68/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.79 ( class_Orderings_Olinorder(T_b)
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.79 <=> V_x_2 = V_y_2 ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_order__neq__le__trans,axiom,
% 201.68/201.79 ! [V_b,V_a,T_a] :
% 201.68/201.79 ( class_Orderings_Oorder(T_a)
% 201.68/201.79 => ( V_a != V_b
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_xt1_I12_J,axiom,
% 201.68/201.79 ! [V_b,V_a,T_a] :
% 201.68/201.79 ( class_Orderings_Oorder(T_a)
% 201.68/201.79 => ( V_a != V_b
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_leD,axiom,
% 201.68/201.79 ! [V_x,V_y,T_a] :
% 201.68/201.79 ( class_Orderings_Olinorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.68/201.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_order__less__imp__le,axiom,
% 201.68/201.79 ! [V_y,V_x,T_a] :
% 201.68/201.79 ( class_Orderings_Opreorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_linorder__antisym__conv2,axiom,
% 201.68/201.79 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.79 ( class_Orderings_Olinorder(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 201.68/201.79 <=> V_x_2 = V_y_2 ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_order__le__imp__less__or__eq,axiom,
% 201.68/201.79 ! [V_y,V_x,T_a] :
% 201.68/201.79 ( class_Orderings_Oorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.68/201.79 | V_x = V_y ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_order__le__neq__trans,axiom,
% 201.68/201.79 ! [V_b,V_a,T_a] :
% 201.68/201.79 ( class_Orderings_Oorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.79 => ( V_a != V_b
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_xt1_I11_J,axiom,
% 201.68/201.79 ! [V_a,V_b,T_a] :
% 201.68/201.79 ( class_Orderings_Oorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.68/201.79 => ( V_a != V_b
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_order__less__le__trans,axiom,
% 201.68/201.79 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.79 ( class_Orderings_Opreorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_xt1_I7_J,axiom,
% 201.68/201.79 ! [V_z,V_x,V_y,T_a] :
% 201.68/201.79 ( class_Orderings_Oorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_order__le__less__trans,axiom,
% 201.68/201.79 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.79 ( class_Orderings_Opreorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_xt1_I8_J,axiom,
% 201.68/201.79 ! [V_z,V_x,V_y,T_a] :
% 201.68/201.79 ( class_Orderings_Oorder(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_psubsetD,axiom,
% 201.68/201.79 ! [V_ca_2,V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_not__psubset__empty,axiom,
% 201.68/201.79 ! [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)))) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_less__supI2,axiom,
% 201.68/201.79 ! [V_a,V_b,V_x,T_a] :
% 201.68/201.79 ( class_Lattices_Osemilattice__sup(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 201.68/201.79 => 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))) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_less__supI1,axiom,
% 201.68/201.79 ! [V_b,V_a,V_x,T_a] :
% 201.68/201.79 ( class_Lattices_Osemilattice__sup(T_a)
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 201.68/201.79 => 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))) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_psubset__eq,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 & V_A_2 != V_B_2 ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_subset__iff__psubset__eq,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 | V_A_2 = V_B_2 ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_psubset__imp__subset,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_psubset__subset__trans,axiom,
% 201.68/201.79 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_subset__psubset__trans,axiom,
% 201.68/201.79 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite_Oequations_I1_J,axiom,
% 201.68/201.79 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__insert,axiom,
% 201.68/201.79 ! [V_A_2,V_a_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 201.68/201.79 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__subset,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_rev__finite__subset,axiom,
% 201.68/201.79 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__UnI,axiom,
% 201.68/201.79 ! [V_Ga_2,V_F_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 201.68/201.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__Un,axiom,
% 201.68/201.79 ! [V_Ga_2,V_F_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2)))
% 201.68/201.79 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.68/201.79 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__Diff2,axiom,
% 201.68/201.79 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.79 => ( 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)))
% 201.68/201.79 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 201.68/201.79 ! [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)) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_fold__graph_OemptyI,axiom,
% 201.68/201.79 ! [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)) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_empty__fold__graphE,axiom,
% 201.68/201.79 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.79 ( 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))
% 201.68/201.79 => V_x_2 = V_z_2 ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__Diff__insert,axiom,
% 201.68/201.79 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 201.68/201.79 ( 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))))
% 201.68/201.79 <=> 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))) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_fold__graph_OinsertI,axiom,
% 201.68/201.79 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 201.68/201.79 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 201.68/201.79 => 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))) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_diff__eq__diff__eq,axiom,
% 201.68/201.79 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.68/201.79 ( class_Groups_Oab__group__add(T_b)
% 201.68/201.79 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 201.68/201.79 => ( V_a_2 = V_b_2
% 201.68/201.79 <=> V_ca_2 = V_d_2 ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__image__simple_Oremove,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 201.68/201.79 => 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)))))) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.79 => 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)))))) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Oremove,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.79 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.79 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 201.68/201.79 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.79 => 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)))))) ) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 201.68/201.79 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 201.68/201.79 ( 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))
% 201.68/201.79 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 201.68/201.79 | ? [B_x,B_y] :
% 201.68/201.79 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 201.68/201.79 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 201.68/201.79 & 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) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__one_Oclosed,axiom,
% 201.68/201.79 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => ( ! [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))))))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__empty__induct,axiom,
% 201.68/201.79 ! [V_Pa_2,V_A_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 201.68/201.79 => ( ! [B_a,B_A] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 201.68/201.79 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 201.68/201.79 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) )
% 201.68/201.79 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => 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)) ) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__subset__induct,axiom,
% 201.68/201.79 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 201.68/201.79 => ( ! [B_a,B_F] :
% 201.68/201.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 201.68/201.79 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 201.68/201.79 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 201.68/201.79 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.79 => 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) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => 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)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.79 => 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 )
% 201.68/201.79 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.79 => 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)))))) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__one__idem_Oidem,axiom,
% 201.68/201.79 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.68/201.79 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__image__simple_Oempty,axiom,
% 201.68/201.79 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.79 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Osingleton,axiom,
% 201.68/201.79 ! [V_x_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => 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 ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Oin__idem,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.79 => 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) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__one__idem_Oin__idem,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.79 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => 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)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Osubset__idem,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.79 => 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) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Ounion__idem,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => 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)) ) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__image__simple_Oinsert,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 201.68/201.79 => 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)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Oinsert,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => 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)) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Oclosed,axiom,
% 201.68/201.79 ! [V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => ( ! [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))))))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_insert__fold1SetE,axiom,
% 201.68/201.79 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 201.68/201.79 ( 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))
% 201.68/201.79 => ~ ! [B_a,B_A] :
% 201.68/201.79 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_fold1Set_Oequations,axiom,
% 201.68/201.79 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 201.68/201.79 ( 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))
% 201.68/201.79 <=> ? [B_a,B_A] :
% 201.68/201.79 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 201.68/201.79 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 201.68/201.79 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_setsum__diff1__ring,axiom,
% 201.68/201.79 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 201.68/201.79 ( class_Rings_Oring(T_c)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.79 => 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)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_setsum__diff1,axiom,
% 201.68/201.79 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 201.68/201.79 ( class_Groups_Oab__group__add(T_c)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.79 => 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)) )
% 201.68/201.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.79 => 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) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_fold__graph__permute__diff,axiom,
% 201.68/201.79 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 201.68/201.79 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.68/201.79 => ( 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))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 201.68/201.79 => 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)) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.79 => ( 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))
% 201.68/201.79 => 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)) ) ) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Ounion__inter,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.79 => ( 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))
% 201.68/201.79 => 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)) ) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.68/201.79 => 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)) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.79 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.79 => 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) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 201.68/201.79 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.79 ( class_Lattices_Olattice(T_b)
% 201.68/201.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.79 => 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) ) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_inf1I,axiom,
% 201.68/201.79 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 201.68/201.79 ( hBOOL(hAPP(V_A_2,V_x_2))
% 201.68/201.79 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 201.68/201.79 => 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)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_inf1E,axiom,
% 201.68/201.79 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.68/201.79 ( 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))
% 201.68/201.79 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 201.68/201.79 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_IntI,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.68/201.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 201.68/201.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_IntE,axiom,
% 201.68/201.79 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.68/201.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.68/201.79 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.68/201.79 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_finite__Int,axiom,
% 201.68/201.79 ! [V_Ga_2,V_F_2,T_b] :
% 201.68/201.79 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.68/201.79 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 201.68/201.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_times_Oidem,axiom,
% 201.68/201.79 ! [V_a,T_a] :
% 201.68/201.79 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 201.68/201.79 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 201.68/201.79
% 201.68/201.79 fof(fact_mult__idem,axiom,
% 201.68/201.79 ! [V_x,T_a] :
% 201.68/201.79 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 201.68/201.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf_Oidem,axiom,
% 201.68/201.80 ! [V_a,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__idem,axiom,
% 201.68/201.80 ! [V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf_Ocommute,axiom,
% 201.68/201.80 ! [V_b,V_a,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__sup__aci_I1_J,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__commute,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_mult__left__idem,axiom,
% 201.68/201.80 ! [V_b,V_a,T_a] :
% 201.68/201.80 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf_Oleft__idem,axiom,
% 201.68/201.80 ! [V_b,V_a,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__sup__aci_I4_J,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__left__idem,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf_Oleft__commute,axiom,
% 201.68/201.80 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__sup__aci_I3_J,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__left__commute,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf_Oassoc,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__sup__aci_I2_J,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__assoc,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__apply,axiom,
% 201.68/201.80 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf1D1,axiom,
% 201.68/201.80 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( 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))
% 201.68/201.80 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf1D2,axiom,
% 201.68/201.80 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( 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))
% 201.68/201.80 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__absorb,axiom,
% 201.68/201.80 ! [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 ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__commute,axiom,
% 201.68/201.80 ! [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) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__left__absorb,axiom,
% 201.68/201.80 ! [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) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__left__commute,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__assoc,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Oidem,axiom,
% 201.68/201.80 ! [V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oab__semigroup__mult(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 201.68/201.80 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.80 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fold__inf__insert,axiom,
% 201.68/201.80 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__infE,axiom,
% 201.68/201.80 ! [V_b,V_a,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( 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)))
% 201.68/201.80 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.68/201.80 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__mono,axiom,
% 201.68/201.80 ! [V_d,V_b,V_c,V_a,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__greatest,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__infI,axiom,
% 201.68/201.80 ! [V_b,V_a,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__absorb2,axiom,
% 201.68/201.80 ! [V_x,V_y,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.68/201.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__absorb1,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__infI2,axiom,
% 201.68/201.80 ! [V_a,V_x,V_b,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 201.68/201.80 => 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)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__infI1,axiom,
% 201.68/201.80 ! [V_b,V_x,V_a,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.68/201.80 => 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)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__inf__iff,axiom,
% 201.68/201.80 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_b)
% 201.68/201.80 => ( 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)))
% 201.68/201.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__iff__inf,axiom,
% 201.68/201.80 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.80 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__le2,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__sup__ord_I2_J,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__le1,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__sup__ord_I1_J,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__infI1,axiom,
% 201.68/201.80 ! [V_b,V_x,V_a,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 201.68/201.80 => 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)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__infI2,axiom,
% 201.68/201.80 ! [V_a,V_x,V_b,T_a] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 201.68/201.80 => 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)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__bot__left,axiom,
% 201.68/201.80 ! [V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Obounded__lattice__bot(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__bot__right,axiom,
% 201.68/201.80 ! [V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Obounded__lattice__bot(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_sup__inf__distrib2,axiom,
% 201.68/201.80 ! [V_x,V_z,V_y,T_a] :
% 201.68/201.80 ( class_Lattices_Odistrib__lattice(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__sup__distrib2,axiom,
% 201.68/201.80 ! [V_x,V_z,V_y,T_a] :
% 201.68/201.80 ( class_Lattices_Odistrib__lattice(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_sup__inf__distrib1,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Odistrib__lattice(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__sup__distrib1,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Odistrib__lattice(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_sup__inf__absorb,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__sup__absorb,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__iff,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.68/201.80 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.68/201.80 & hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_IntD1,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_IntD2,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fold__empty,axiom,
% 201.68/201.80 ! [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 ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__empty__left,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__empty__right,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_disjoint__iff__not__equal,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( 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))
% 201.68/201.80 <=> ! [B_x] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.80 => ! [B_xa] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 201.68/201.80 => B_x != B_xa ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_insert__inter__insert,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__lower1,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__lower2,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__absorb2,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__absorb1,axiom,
% 201.68/201.80 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__greatest,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__mono,axiom,
% 201.68/201.80 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__Un__distrib,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Un__Int__distrib,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__Un__distrib2,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Un__Int__distrib2,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Un__Int__crazy,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Diff__Int__distrib,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__Diff,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Diff__Int__distrib2,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Diff__Int2,axiom,
% 201.68/201.80 ! [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) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fold__inf__le__inf,axiom,
% 201.68/201.80 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Osemilattice__inf(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_distrib__inf__le,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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)))) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_distrib__sup__le,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Lattices_Olattice(T_a)
% 201.68/201.80 => 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)))) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__insert__left__if1,axiom,
% 201.68/201.80 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__insert__right__if1,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__insert__left__if0,axiom,
% 201.68/201.80 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 201.68/201.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__insert__right__if0,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 201.68/201.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__insert__left,axiom,
% 201.68/201.80 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 201.68/201.80 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 201.68/201.80 => 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)) )
% 201.68/201.80 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 201.68/201.80 => 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) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Int__insert__right,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 201.68/201.80 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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)) )
% 201.68/201.80 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Diff__triv,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( 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))
% 201.68/201.80 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Diff__disjoint,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Un__Int__assoc__eq,axiom,
% 201.68/201.80 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( 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))
% 201.68/201.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Diff__Int,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Diff__Un,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Un__Diff__Int,axiom,
% 201.68/201.80 ! [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 ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__diff__nat,axiom,
% 201.68/201.80 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.80 => 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)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_union__fold__insert,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fold__sup__insert,axiom,
% 201.68/201.80 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Osemilattice__sup(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_inf__Sup__absorb,axiom,
% 201.68/201.80 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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 ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fold__graph__insert__swap,axiom,
% 201.68/201.80 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 201.68/201.80 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.68/201.80 => ( 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))
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 201.68/201.80 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.68/201.80 => 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)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__diff1__nat,axiom,
% 201.68/201.80 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 201.68/201.80 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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)) )
% 201.68/201.80 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__diff,axiom,
% 201.68/201.80 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.80 ( class_Groups_Oab__group__add(T_c)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.80 => 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)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_sup__le__fold__sup,axiom,
% 201.68/201.80 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Osemilattice__sup(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 201.68/201.80 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_folding__one_Oeq__fold_H,axiom,
% 201.68/201.80 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => 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) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.68/201.80 => ( 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))
% 201.68/201.80 => 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)) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_folding__one_Ounion__inter,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => ( 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))
% 201.68/201.80 => 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)) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_folding__one_Ounion__disjoint,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => ( 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))
% 201.68/201.80 => 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)) ) ) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 201.68/201.80 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 201.68/201.80 => 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) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 201.68/201.80 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.80 => 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)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 201.68/201.80 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => 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)))))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 201.68/201.80 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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)))))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Oremove,axiom,
% 201.68/201.80 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.80 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 201.68/201.80 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.80 => 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)))))) ) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 201.68/201.80 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => 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)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 201.68/201.80 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => 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) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__strict__mono,axiom,
% 201.68/201.80 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 201.68/201.80 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.80 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => ( ! [B_x] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 201.68/201.80 => 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))) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__diff1_H,axiom,
% 201.68/201.80 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 201.68/201.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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)))))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum_Oremove,axiom,
% 201.68/201.80 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 201.68/201.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => 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)))))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 201.68/201.80 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => 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) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Ounion__inter,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => ( 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))
% 201.68/201.80 => 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)) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__right__imp__eq,axiom,
% 201.68/201.80 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.80 ( class_Groups_Ocancel__semigroup__add(T_a)
% 201.68/201.80 => ( 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)
% 201.68/201.80 => V_b = V_c ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__imp__eq,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 201.68/201.80 => ( 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)
% 201.68/201.80 => V_b = V_c ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__left__imp__eq,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Ocancel__semigroup__add(T_a)
% 201.68/201.80 => ( 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)
% 201.68/201.80 => V_b = V_c ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__right__cancel,axiom,
% 201.68/201.80 ! [V_ca_2,V_a_2,V_b_2,T_b] :
% 201.68/201.80 ( class_Groups_Ocancel__semigroup__add(T_b)
% 201.68/201.80 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)
% 201.68/201.80 <=> V_b_2 = V_ca_2 ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__left__cancel,axiom,
% 201.68/201.80 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Groups_Ocancel__semigroup__add(T_b)
% 201.68/201.80 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)
% 201.68/201.80 <=> V_b_2 = V_ca_2 ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oab__semigroup__add(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 201.68/201.80 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__le__cancel__right,axiom,
% 201.68/201.80 ! [V_b_2,V_ca_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_ca_2)))
% 201.68/201.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__le__cancel__left,axiom,
% 201.68/201.80 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_b_2)))
% 201.68/201.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__right__mono,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__left__mono,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__mono,axiom,
% 201.68/201.80 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__le__imp__le__right,axiom,
% 201.68/201.80 ! [V_b,V_c,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.68/201.80 => ( 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)))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__le__imp__le__left,axiom,
% 201.68/201.80 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.68/201.80 => ( 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)))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__less__cancel__right,axiom,
% 201.68/201.80 ! [V_b_2,V_ca_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_ca_2)))
% 201.68/201.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__less__cancel__left,axiom,
% 201.68/201.80 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_b_2)))
% 201.68/201.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__strict__right__mono,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__strict__left__mono,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__strict__mono,axiom,
% 201.68/201.80 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__less__imp__less__right,axiom,
% 201.68/201.80 ! [V_b,V_c,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.68/201.80 => ( 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)))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__less__imp__less__left,axiom,
% 201.68/201.80 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.68/201.80 => ( 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)))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_diff__add__cancel,axiom,
% 201.68/201.80 ! [V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.80 => 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 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__diff__cancel,axiom,
% 201.68/201.80 ! [V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.80 => 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 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm,axiom,
% 201.68/201.80 ! [T_b] :
% 201.68/201.80 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.68/201.80 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__less__le__mono,axiom,
% 201.68/201.80 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__le__less__mono,axiom,
% 201.68/201.80 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 201.68/201.80 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 201.68/201.80 => V_y_2 = V_x_2 ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Osingleton,axiom,
% 201.68/201.80 ! [V_x_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => 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 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__Un__nat,axiom,
% 201.68/201.80 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 201.68/201.80 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_sup__Inf__absorb,axiom,
% 201.68/201.80 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => 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 ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Oin__idem,axiom,
% 201.68/201.80 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => 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) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 201.68/201.80 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 201.68/201.80 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum_Oinsert,axiom,
% 201.68/201.80 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 201.68/201.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => 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)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__insert,axiom,
% 201.68/201.80 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 201.68/201.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 201.68/201.80 => 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)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__Un__Int,axiom,
% 201.68/201.80 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => 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)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 201.68/201.80 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => 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)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Osubset__idem,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.80 => 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) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Ounion__idem,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => 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)) ) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__le__Sup,axiom,
% 201.68/201.80 ! [V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 201.68/201.80 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum_Oinsert__remove,axiom,
% 201.68/201.80 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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)))))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__Un__disjoint,axiom,
% 201.68/201.80 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => ( 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))
% 201.68/201.80 => 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)) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_setsum__Un,axiom,
% 201.68/201.80 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.80 ( class_Groups_Oab__group__add(T_c)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => 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))) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 201.68/201.80 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Oinsert,axiom,
% 201.68/201.80 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => 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)) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 201.68/201.80 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.80 => 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 )
% 201.68/201.80 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.80 => 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)))))) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 201.68/201.80 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.80 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => ( 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))
% 201.68/201.80 => 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)) ) ) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__add__iff2,axiom,
% 201.68/201.80 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Rings_Oordered__ring(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 201.68/201.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__add__iff1,axiom,
% 201.68/201.80 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Rings_Oordered__ring(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 201.68/201.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__add__iff2,axiom,
% 201.68/201.80 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Rings_Oordered__ring(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 201.68/201.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__add__iff1,axiom,
% 201.68/201.80 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Rings_Oordered__ring(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 201.68/201.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_eq__add__iff2,axiom,
% 201.68/201.80 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Rings_Oring(T_b)
% 201.68/201.80 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 201.68/201.80 <=> V_ca_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_eq__add__iff1,axiom,
% 201.68/201.80 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Rings_Oring(T_b)
% 201.68/201.80 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 201.68/201.80 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 201.68/201.80 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.80 => ? [B_y_H] :
% 201.68/201.80 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 201.68/201.80 & 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)) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_Inf__fin_Oclosed,axiom,
% 201.68/201.80 ! [V_A_2,T_b] :
% 201.68/201.80 ( class_Lattices_Olattice(T_b)
% 201.68/201.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.80 => ( ! [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))))))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 201.68/201.80 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_crossproduct__noteq,axiom,
% 201.68/201.80 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.68/201.80 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 201.68/201.80 => ( ( V_a_2 != V_b_2
% 201.68/201.80 & V_ca_2 != V_d_2 )
% 201.68/201.80 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_ca_2)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_linorder__neqE__linordered__idom,axiom,
% 201.68/201.80 ! [V_y,V_x,T_a] :
% 201.68/201.80 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.80 => ( V_x != V_y
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 201.68/201.80 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 201.68/201.80 ! [V_d,V_c,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 201.68/201.80 ! [V_d,V_c,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 201.68/201.80 ! [V_c,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 201.68/201.80 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 201.68/201.80 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 201.68/201.80 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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))) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 201.68/201.80 ! [V_rx,V_ly,V_lx,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 201.68/201.80 ! [V_rx,V_ly,V_lx,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 201.68/201.80 ! [V_ry,V_rx,V_lx,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 201.68/201.80 ! [V_ry,V_rx,V_lx,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 201.68/201.80 ! [V_b,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_crossproduct__eq,axiom,
% 201.68/201.80 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 201.68/201.80 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 201.68/201.80 => ( 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))
% 201.68/201.80 <=> ( V_w_2 = V_x_2
% 201.68/201.80 | V_y_2 = V_z_2 ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_combine__common__factor,axiom,
% 201.68/201.80 ! [V_c,V_b,V_e,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Osemiring(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 201.68/201.80 ! [V_b,V_m,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_comm__semiring__class_Odistrib,axiom,
% 201.68/201.80 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.80 ( class_Rings_Ocomm__semiring(T_a)
% 201.68/201.80 => 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__diff__inverse,axiom,
% 201.68/201.80 ! [V_n,V_m] :
% 201.68/201.80 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.80 => 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 ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__diff__conv,axiom,
% 201.68/201.80 ! [V_k_2,V_j_2,V_i_2] :
% 201.68/201.80 ( 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)))
% 201.68/201.80 <=> 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)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_diff__cancel2,axiom,
% 201.68/201.80 ! [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) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_diff__cancel,axiom,
% 201.68/201.80 ! [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) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_diff__diff__left,axiom,
% 201.68/201.80 ! [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)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_diff__add__inverse,axiom,
% 201.68/201.80 ! [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 ).
% 201.68/201.80
% 201.68/201.80 fof(fact_diff__add__inverse2,axiom,
% 201.68/201.80 ! [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 ).
% 201.68/201.80
% 201.68/201.80 fof(fact_diff__diff__right,axiom,
% 201.68/201.80 ! [V_i,V_j,V_k] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.68/201.80 => 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) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__diff__conv,axiom,
% 201.68/201.80 ! [V_i_2,V_k_2,V_j_2] :
% 201.68/201.80 ( 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))
% 201.68/201.80 <=> 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))) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__add__diff,axiom,
% 201.68/201.80 ! [V_m,V_n,V_k] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 201.68/201.80 => 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))) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__square,axiom,
% 201.68/201.80 ! [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))) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__cube,axiom,
% 201.68/201.80 ! [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)))) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_mult__le__mono1,axiom,
% 201.68/201.80 ! [V_k,V_j,V_i] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.68/201.80 => 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))) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_mult__le__mono2,axiom,
% 201.68/201.80 ! [V_k,V_j,V_i] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.68/201.80 => 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))) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_mult__le__mono,axiom,
% 201.68/201.80 ! [V_l,V_k,V_j,V_i] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__antisym,axiom,
% 201.68/201.80 ! [V_n,V_m] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.68/201.80 => V_m = V_n ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__trans,axiom,
% 201.68/201.80 ! [V_k,V_j,V_i] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_eq__imp__le,axiom,
% 201.68/201.80 ! [V_n,V_m] :
% 201.68/201.80 ( V_m = V_n
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_nat__le__linear,axiom,
% 201.68/201.80 ! [V_n,V_m] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__refl,axiom,
% 201.68/201.80 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__not__refl,axiom,
% 201.68/201.80 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_nat__neq__iff,axiom,
% 201.68/201.80 ! [V_n_2,V_m_2] :
% 201.68/201.80 ( V_m_2 != V_n_2
% 201.68/201.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_linorder__neqE__nat,axiom,
% 201.68/201.80 ! [V_y,V_x] :
% 201.68/201.80 ( V_x != V_y
% 201.68/201.80 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__irrefl__nat,axiom,
% 201.68/201.80 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__not__refl2,axiom,
% 201.68/201.80 ! [V_m,V_n] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 201.68/201.80 => V_m != V_n ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__not__refl3,axiom,
% 201.68/201.80 ! [V_t,V_s] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 201.68/201.80 => V_s != V_t ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_nat__less__cases,axiom,
% 201.68/201.80 ! [V_Pa_2,V_n_2,V_m_2] :
% 201.68/201.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.80 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 201.68/201.80 => ( ( V_m_2 = V_n_2
% 201.68/201.80 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 201.68/201.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.68/201.80 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 201.68/201.80 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_nat__less__le,axiom,
% 201.68/201.80 ! [V_n_2,V_m_2] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.80 & V_m_2 != V_n_2 ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__eq__less__or__eq,axiom,
% 201.68/201.80 ! [V_n_2,V_m_2] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.80 | V_m_2 = V_n_2 ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__imp__le__nat,axiom,
% 201.68/201.80 ! [V_n,V_m] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_le__neq__implies__less,axiom,
% 201.68/201.80 ! [V_n,V_m] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.80 => ( V_m != V_n
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__or__eq__imp__le,axiom,
% 201.68/201.80 ! [V_n,V_m] :
% 201.68/201.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.80 | V_m = V_n )
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__lessD1,axiom,
% 201.68/201.80 ! [V_k,V_j,V_i] :
% 201.68/201.80 ( 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))
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_less__add__eq__less,axiom,
% 201.68/201.80 ! [V_n,V_m,V_l,V_k] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 201.68/201.80 => ( 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)
% 201.68/201.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__less__mono,axiom,
% 201.68/201.80 ! [V_l,V_k,V_j,V_i] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.68/201.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 201.68/201.80 => 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))) ) ) ).
% 201.68/201.80
% 201.68/201.80 fof(fact_add__less__mono1,axiom,
% 201.68/201.80 ! [V_k,V_j,V_i] :
% 201.68/201.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.68/201.80 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_trans__less__add2,axiom,
% 201.68/201.81 ! [V_m,V_j,V_i] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_trans__less__add1,axiom,
% 201.68/201.81 ! [V_m,V_j,V_i] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__add__left__cancel__less,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_not__add__less2,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_not__add__less1,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__add__right__cancel,axiom,
% 201.68/201.81 ! [V_n_2,V_k_2,V_m_2] :
% 201.68/201.81 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)
% 201.68/201.81 <=> V_m_2 = V_n_2 ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__add__left__cancel,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.81 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)
% 201.68/201.81 <=> V_m_2 = V_n_2 ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__add__assoc,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__add__left__commute,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__add__commute,axiom,
% 201.68/201.81 ! [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) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__add2,axiom,
% 201.68/201.81 ! [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))) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__add1,axiom,
% 201.68/201.81 ! [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))) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__iff__add,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.81 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__add__left__cancel__le,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_trans__le__add1,axiom,
% 201.68/201.81 ! [V_m,V_j,V_i] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_trans__le__add2,axiom,
% 201.68/201.81 ! [V_m,V_j,V_i] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__le__mono1,axiom,
% 201.68/201.81 ! [V_k,V_j,V_i] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__le__mono,axiom,
% 201.68/201.81 ! [V_l,V_k,V_j,V_i] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 201.68/201.81 => 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))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__leD2,axiom,
% 201.68/201.81 ! [V_n,V_k,V_m] :
% 201.68/201.81 ( 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))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__leD1,axiom,
% 201.68/201.81 ! [V_n,V_k,V_m] :
% 201.68/201.81 ( 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))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__leE,axiom,
% 201.68/201.81 ! [V_n,V_k,V_m] :
% 201.68/201.81 ( 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))
% 201.68/201.81 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__mult__distrib2,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__mult__distrib,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__mult__distrib,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__mult__distrib2,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__diff__iff,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Nat_Odiff__diff__eq,axiom,
% 201.68/201.81 ! [V_n,V_m,V_k] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_eq__diff__iff,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 201.68/201.81 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)
% 201.68/201.81 <=> V_m_2 = V_n_2 ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__diff__cancel,axiom,
% 201.68/201.81 ! [V_n,V_i] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 201.68/201.81 => 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 ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__le__mono,axiom,
% 201.68/201.81 ! [V_l,V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__le__mono2,axiom,
% 201.68/201.81 ! [V_l,V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__le__self,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__commute,axiom,
% 201.68/201.81 ! [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) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__imp__diff__less,axiom,
% 201.68/201.81 ! [V_n,V_k,V_j] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 201.68/201.81 => 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)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__less__mono,axiom,
% 201.68/201.81 ! [V_c,V_b,V_a] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 201.68/201.81 => 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))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__less__mono2,axiom,
% 201.68/201.81 ! [V_l,V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 201.68/201.81 => 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))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__diff__iff,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__add__assoc2,axiom,
% 201.68/201.81 ! [V_i,V_j,V_k] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__diff__assoc2,axiom,
% 201.68/201.81 ! [V_i,V_j,V_k] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__add__assoc,axiom,
% 201.68/201.81 ! [V_i,V_j,V_k] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.68/201.81 => 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)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__imp__diff__is__add,axiom,
% 201.68/201.81 ! [V_k_2,V_j_2,V_i_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.68/201.81 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 201.68/201.81 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__add__diff__inverse2,axiom,
% 201.68/201.81 ! [V_m,V_n] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.68/201.81 => 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 ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__diff__conv2,axiom,
% 201.68/201.81 ! [V_i_2,V_j_2,V_k_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 201.68/201.81 => ( 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)))
% 201.68/201.81 <=> 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)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__diff__assoc,axiom,
% 201.68/201.81 ! [V_i,V_j,V_k] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__add__diff__inverse,axiom,
% 201.68/201.81 ! [V_m,V_n] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.68/201.81 => 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 ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__less__add__iff1,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__less__add__iff2,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__eq__add__iff2,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.68/201.81 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)
% 201.68/201.81 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__diff__add__eq2,axiom,
% 201.68/201.81 ! [V_n,V_m,V_u,V_j,V_i] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.68/201.81 => 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)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__le__add__iff2,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__eq__add__iff1,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 201.68/201.81 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)
% 201.68/201.81 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_n_2 ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__diff__add__eq1,axiom,
% 201.68/201.81 ! [V_n,V_m,V_u,V_i,V_j] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__le__add__iff1,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_termination__basic__simps_I3_J,axiom,
% 201.68/201.81 ! [V_z,V_y,V_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__mult__assoc,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__mult__commute,axiom,
% 201.68/201.81 ! [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) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_left__add__mult__distrib,axiom,
% 201.68/201.81 ! [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) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_termination__basic__simps_I1_J,axiom,
% 201.68/201.81 ! [V_z,V_y,V_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_termination__basic__simps_I2_J,axiom,
% 201.68/201.81 ! [V_y,V_z,V_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_termination__basic__simps_I5_J,axiom,
% 201.68/201.81 ! [V_y,V_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_termination__basic__simps_I4_J,axiom,
% 201.68/201.81 ! [V_y,V_z,V_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Sup__fold__sup,axiom,
% 201.68/201.81 ! [V_A_2,T_b] :
% 201.68/201.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__eq__fold,axiom,
% 201.68/201.81 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.81 => 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) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__Un,axiom,
% 201.68/201.81 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.81 => ( 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))
% 201.68/201.81 => 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)) ) ) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Diff1__less,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Diff2__less,axiom,
% 201.68/201.81 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.68/201.81 => 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))) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 201.68/201.81 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.81 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.68/201.81 => ( ! [B_x] :
% 201.68/201.81 ( 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)))
% 201.68/201.81 => hAPP(V_g_2,B_x) = V_z_2 )
% 201.68/201.81 => 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)) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__insert,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.68/201.81 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 201.68/201.81 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.81 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.68/201.81 => ( 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))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => ~ ! [B_y] :
% 201.68/201.81 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 201.68/201.81 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 201.68/201.81 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.81 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 201.68/201.81 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 201.68/201.81 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_finite__UnionD,axiom,
% 201.68/201.81 ! [V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 201.68/201.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fun__left__comm__idem__insert,axiom,
% 201.68/201.81 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fun__left__comm__idem,axiom,
% 201.68/201.81 ! [T_b] :
% 201.68/201.81 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.68/201.81 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fun__left__comm__idem__sup,axiom,
% 201.68/201.81 ! [T_b] :
% 201.68/201.81 ( class_Lattices_Osemilattice__sup(T_b)
% 201.68/201.81 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fun__left__comm__idem__inf,axiom,
% 201.68/201.81 ! [T_b] :
% 201.68/201.81 ( class_Lattices_Osemilattice__inf(T_b)
% 201.68/201.81 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__singleton__def,axiom,
% 201.68/201.81 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 201.68/201.81 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 201.68/201.81 => 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 ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__singleton,axiom,
% 201.68/201.81 ! [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 ).
% 201.68/201.81
% 201.68/201.81 fof(fact_folding__one_Oeq__fold,axiom,
% 201.68/201.81 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.81 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__insert__le,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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)))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__seteq,axiom,
% 201.68/201.81 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.81 => ( 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)))
% 201.68/201.81 => V_A_2 = V_B_2 ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__mono,axiom,
% 201.68/201.81 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.81 => 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))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_psubset__card__mono,axiom,
% 201.68/201.81 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.81 => 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))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Sup__fin_OF__eq,axiom,
% 201.68/201.81 ! [V_A_2,T_b] :
% 201.68/201.81 ( class_Lattices_Olattice(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Inf__fin_OF__eq,axiom,
% 201.68/201.81 ! [V_A_2,T_b] :
% 201.68/201.81 ( class_Lattices_Olattice(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Un__Int,axiom,
% 201.68/201.81 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => 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))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card_Ounion__inter,axiom,
% 201.68/201.81 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => 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)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Diff__subset,axiom,
% 201.68/201.81 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Diff__subset__Int,axiom,
% 201.68/201.81 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.81 ( 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)))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__card__le__card__Diff,axiom,
% 201.68/201.81 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => 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)))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__psubset,axiom,
% 201.68/201.81 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.81 => ( 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)))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_sup__Sup__fold__sup,axiom,
% 201.68/201.81 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__belowI,axiom,
% 201.68/201.81 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Lattices_Osemilattice__inf(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_below__fold1__iff,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Lattices_Osemilattice__inf(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.81 => ( 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)))
% 201.68/201.81 <=> ! [B_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Sup__fin__Sup,axiom,
% 201.68/201.81 ! [V_A_2,T_b] :
% 201.68/201.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.81 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__insert__idem,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.68/201.81 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__Un2,axiom,
% 201.68/201.81 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.81 => 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)) ) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__eq__fold__idem,axiom,
% 201.68/201.81 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Un__disjoint,axiom,
% 201.68/201.81 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( 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))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Diff1__le,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 201.68/201.81 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.81 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Sup__binary,axiom,
% 201.68/201.81 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_semilattice__big_OF__eq,axiom,
% 201.68/201.81 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 201.68/201.81 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Sup__insert,axiom,
% 201.68/201.81 ! [V_A_2,V_a_2,T_b] :
% 201.68/201.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 => 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)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Sup__singleton,axiom,
% 201.68/201.81 ! [V_a_2,T_b] :
% 201.68/201.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 => 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 ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Sup__empty,axiom,
% 201.68/201.81 ! [T_b] :
% 201.68/201.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Sup__upper,axiom,
% 201.68/201.81 ! [V_A_2,V_x_2,T_b] :
% 201.68/201.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_UnionI,axiom,
% 201.68/201.81 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 201.68/201.81 => 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))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Union__mono,axiom,
% 201.68/201.81 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.81 ( 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))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold1__in,axiom,
% 201.68/201.81 ! [V_A_2,T_b] :
% 201.68/201.81 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.81 => ( ! [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))))))
% 201.68/201.81 => 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)) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Union__empty,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Union__upper,axiom,
% 201.68/201.81 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.81 => 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))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Union__insert,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Un__eq__Union,axiom,
% 201.68/201.81 ! [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))))) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Union__Un__distrib,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Union__disjoint,axiom,
% 201.68/201.81 ! [V_A_2,V_C_2,T_b] :
% 201.68/201.81 ( 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))
% 201.68/201.81 <=> ! [B_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 201.68/201.81 => 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)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Union__Int__subset,axiom,
% 201.68/201.81 ! [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)))) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Sup__le__iff,axiom,
% 201.68/201.81 ! [V_b_2,V_A_2,T_b] :
% 201.68/201.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 => ( 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))
% 201.68/201.81 <=> ! [B_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__Sup__iff,axiom,
% 201.68/201.81 ! [V_S_2,V_a_2,T_b] :
% 201.68/201.81 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.81 & class_Orderings_Olinorder(T_b) )
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 201.68/201.81 <=> ? [B_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.68/201.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Diff__singleton__if,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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)) )
% 201.68/201.81 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Diff__singleton,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card_Oremove,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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)))))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_finite__Union,axiom,
% 201.68/201.81 ! [V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 201.68/201.81 => ( ! [B_M] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 201.68/201.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 201.68/201.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card_Oinsert__remove,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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)))))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Diff__insert,axiom,
% 201.68/201.81 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__Suc__Diff1,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_Oremove,axiom,
% 201.68/201.81 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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)))))) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_insert__partition,axiom,
% 201.68/201.81 ! [V_F_2,V_x_2,T_b] :
% 201.68/201.81 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 201.68/201.81 => ( ! [B_x] :
% 201.68/201.81 ( 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)))
% 201.68/201.81 => ! [B_xa] :
% 201.68/201.81 ( 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)))
% 201.68/201.81 => ( B_x != B_xa
% 201.68/201.81 => 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)) ) ) )
% 201.68/201.81 => 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)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_lessI,axiom,
% 201.68/201.81 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__mono,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod__infinite,axiom,
% 201.68/201.81 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_Oinfinite,axiom,
% 201.68/201.81 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod__eq__1__iff,axiom,
% 201.68/201.81 ! [V_f_2,V_F_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.68/201.81 => ( 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)
% 201.68/201.81 <=> ! [B_x] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 201.68/201.81 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_one__reorient,axiom,
% 201.68/201.81 ! [V_x_2,T_b] :
% 201.68/201.81 ( class_Groups_Oone(T_b)
% 201.68/201.81 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 201.68/201.81 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod__empty,axiom,
% 201.68/201.81 ! [V_f_2,T_c,T_b] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_Oempty,axiom,
% 201.68/201.81 ! [V_g_2,T_c,T_b] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__Suc__1,axiom,
% 201.68/201.81 ! [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 ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__inject,axiom,
% 201.68/201.81 ! [V_y,V_x] :
% 201.68/201.81 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 201.68/201.81 => V_x = V_y ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat_Oinject,axiom,
% 201.68/201.81 ! [V_nat_H_2,V_nat_2] :
% 201.68/201.81 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 201.68/201.81 <=> V_nat_2 = V_nat_H_2 ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__n__not__n,axiom,
% 201.68/201.81 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 201.68/201.81
% 201.68/201.81 fof(fact_n__not__Suc__n,axiom,
% 201.68/201.81 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_mult_Ocomm__neutral,axiom,
% 201.68/201.81 ! [V_a,T_a] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_a)
% 201.68/201.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_mult__1__right,axiom,
% 201.68/201.81 ! [V_a,T_a] :
% 201.68/201.81 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_mult__1,axiom,
% 201.68/201.81 ! [V_a,T_a] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_a)
% 201.68/201.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_mult__1__left,axiom,
% 201.68/201.81 ! [V_a,T_a] :
% 201.68/201.81 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 201.68/201.81 ! [V_a,T_a] :
% 201.68/201.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 201.68/201.81 ! [V_a,T_a] :
% 201.68/201.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_not__less__eq,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__Suc__eq,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.68/201.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.81 | V_m_2 = V_n_2 ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__less__eq,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_not__less__less__Suc__eq,axiom,
% 201.68/201.81 ! [V_m_2,V_n_2] :
% 201.68/201.81 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 201.68/201.81 <=> V_n_2 = V_m_2 ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__antisym,axiom,
% 201.68/201.81 ! [V_m,V_n] :
% 201.68/201.81 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 201.68/201.81 => V_m = V_n ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__SucI,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__lessI,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__trans__Suc,axiom,
% 201.68/201.81 ! [V_k,V_j,V_i] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__SucE,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => V_m = V_n ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__lessD,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__less__SucD,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__Suc__shift,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__Suc,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_add__Suc__right,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__leD,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__SucE,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__SucI,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__le__mono,axiom,
% 201.68/201.81 ! [V_m_2,V_n_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Nat_OSuc,V_m_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__Suc__eq,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.68/201.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.81 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_not__less__eq__eq,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__n__not__le__n,axiom,
% 201.68/201.81 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__Suc__Suc,axiom,
% 201.68/201.81 ! [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) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__diff__diff,axiom,
% 201.68/201.81 ! [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) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__mult__cancel1,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.81 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)
% 201.68/201.81 <=> V_m_2 = V_n_2 ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__mult__1,axiom,
% 201.68/201.81 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__1__eq__mult__iff,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 201.68/201.81 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.68/201.81 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__mult__1__right,axiom,
% 201.68/201.81 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 201.68/201.81
% 201.68/201.81 fof(fact_nat__mult__eq__1__iff,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.68/201.81 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.68/201.81 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__add__one,axiom,
% 201.68/201.81 ! [V_a,T_a] :
% 201.68/201.81 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.81 => 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)))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__1__mult,axiom,
% 201.68/201.81 ! [V_n,V_m,T_a] :
% 201.68/201.81 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 201.68/201.81 => 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))) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 201.68/201.81 ! [V_m,V_a,T_a] :
% 201.68/201.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 201.68/201.81 ! [V_a,V_m,T_a] :
% 201.68/201.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 201.68/201.81 ! [V_m,T_a] :
% 201.68/201.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.81 => 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) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__iff__Suc__add,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.81 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__add__Suc2,axiom,
% 201.68/201.81 ! [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)))) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__add__Suc1,axiom,
% 201.68/201.81 ! [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)))) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__eq__Suc__le,axiom,
% 201.68/201.81 ! [V_m_2,V_n_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_less__Suc__eq__le,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__le__eq,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__imp__less__Suc,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__leI,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_le__less__Suc__eq,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 201.68/201.81 <=> V_n_2 = V_m_2 ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__le__lessD,axiom,
% 201.68/201.81 ! [V_n,V_m] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 201.68/201.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__less__Suc,axiom,
% 201.68/201.81 ! [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))) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__mult__less__cancel1,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_mult__Suc__right,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_mult__Suc,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__diff__le,axiom,
% 201.68/201.81 ! [V_m,V_n] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.68/201.81 => 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)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__mult__le__cancel1,axiom,
% 201.68/201.81 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)))
% 201.68/201.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__Suc__diff__eq2,axiom,
% 201.68/201.81 ! [V_m,V_j,V_k] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.68/201.81 => 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)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__Suc__diff__eq1,axiom,
% 201.68/201.81 ! [V_m,V_j,V_k] :
% 201.68/201.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.68/201.81 => 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)) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod__insert,axiom,
% 201.68/201.81 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_Oinsert,axiom,
% 201.68/201.81 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod__Un__Int,axiom,
% 201.68/201.81 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_Ounion__inter,axiom,
% 201.68/201.81 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__insert__disjoint,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__insert__if,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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) )
% 201.68/201.81 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_Oinsert__remove,axiom,
% 201.68/201.81 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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)))))) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_Ounion__disjoint,axiom,
% 201.68/201.81 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( 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))
% 201.68/201.81 => 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)) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod__Un__disjoint,axiom,
% 201.68/201.81 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( 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))
% 201.68/201.81 => 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)) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card__insert,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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)))))) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_card_Oinsert,axiom,
% 201.68/201.81 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 201.68/201.81 ! [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) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__eq__plus1__left,axiom,
% 201.68/201.81 ! [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) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_Suc__eq__plus1,axiom,
% 201.68/201.81 ! [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)) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod__Un__one,axiom,
% 201.68/201.81 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.68/201.81 => ( ! [B_x] :
% 201.68/201.81 ( 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)))
% 201.68/201.81 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.68/201.81 => 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)) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 201.68/201.81 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( ! [B_x] :
% 201.68/201.81 ( 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)))
% 201.68/201.81 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.68/201.81 => 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)) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold__Un__disjoint,axiom,
% 201.68/201.81 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.81 => ( 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))
% 201.68/201.81 => 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)) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod__mono__one__left,axiom,
% 201.68/201.81 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 201.68/201.81 => ( ! [B_x] :
% 201.68/201.81 ( 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)))
% 201.68/201.81 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.68/201.81 => 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) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod__mono__one__right,axiom,
% 201.68/201.81 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.68/201.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 201.68/201.81 => ( ! [B_x] :
% 201.68/201.81 ( 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)))
% 201.68/201.81 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.68/201.81 => 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) ) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold__image__empty,axiom,
% 201.68/201.81 ! [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 ).
% 201.68/201.81
% 201.68/201.81 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 201.68/201.81 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.81 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.81 => 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) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_fold__image__insert,axiom,
% 201.68/201.81 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Oab__semigroup__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.81 => 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)) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_OF__eq,axiom,
% 201.68/201.81 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) )
% 201.68/201.81 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.81 => 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) ) ) ) ).
% 201.68/201.81
% 201.68/201.81 fof(fact_setprod_Oeq__fold,axiom,
% 201.68/201.81 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => 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) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_fold__image__Un__Int,axiom,
% 201.68/201.82 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_comm__monoid__big_OF__eq,axiom,
% 201.68/201.82 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.82 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.68/201.82 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.82 => 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) )
% 201.68/201.82 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.82 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_fold__image__Un__one,axiom,
% 201.68/201.82 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.68/201.82 => ( ! [B_x] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.68/201.82 => 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)) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_convex__bound__lt,axiom,
% 201.68/201.82 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 201.68/201.82 => 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)) ) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card__partition,axiom,
% 201.68/201.82 ! [V_k_2,V_C_2,T_b] :
% 201.68/201.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 201.68/201.82 => ( ! [B_c] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 201.68/201.82 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 201.68/201.82 => ( ! [B_c1] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 201.68/201.82 => ! [B_c2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 201.68/201.82 => ( B_c1 != B_c2
% 201.68/201.82 => 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)) ) ) )
% 201.68/201.82 => 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)) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_fold__image__1,axiom,
% 201.68/201.82 ! [V_f_2,V_S_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.68/201.82 => ( ! [B_x] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.68/201.82 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.68/201.82 => 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) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card__Plus,axiom,
% 201.68/201.82 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.68/201.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.68/201.82 => 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)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_fold__image__cong,axiom,
% 201.68/201.82 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Oab__semigroup__mult(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( ! [B_x] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.82 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 201.68/201.82 => 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) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_inf__le__fold__inf,axiom,
% 201.68/201.82 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 201.68/201.82 ( class_Lattices_Osemilattice__inf(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( ! [B_x] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ca_2),V_A_2))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_less__zeroE,axiom,
% 201.68/201.82 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_le0,axiom,
% 201.68/201.82 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__less__Suc,axiom,
% 201.68/201.82 ! [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))) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__reorient,axiom,
% 201.68/201.82 ! [V_x_2,T_b] :
% 201.68/201.82 ( class_Groups_Ozero(T_b)
% 201.68/201.82 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 201.68/201.82 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add_Ocomm__neutral,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__0__right,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Groups_Omonoid__add(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_double__zero__sym,axiom,
% 201.68/201.82 ! [V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.82 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 201.68/201.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__0,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__0__left,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Groups_Omonoid__add(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__0__iff,axiom,
% 201.68/201.82 ! [V_a_2,V_b_2,T_b] :
% 201.68/201.82 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 201.68/201.82 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 201.68/201.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__zero__left,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Omult__zero(T_a)
% 201.68/201.82 => 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) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.82 => 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) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__zero__right,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Omult__zero(T_a)
% 201.68/201.82 => 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) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.82 => 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) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__eq__0__iff,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Rings_Oring__no__zero__divisors(T_b)
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_no__zero__divisors,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Ono__zero__divisors(T_a)
% 201.68/201.82 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_divisors__zero,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Ono__zero__divisors(T_a)
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__0__right,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__self,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_eq__iff__diff__eq__0,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Oab__group__add(T_b)
% 201.68/201.82 => ( V_a_2 = V_b_2
% 201.68/201.82 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_right__minus__eq,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Ogroup__add(T_b)
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 <=> V_a_2 = V_b_2 ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__neq__one,axiom,
% 201.68/201.82 ! [T_a] :
% 201.68/201.82 ( class_Rings_Ozero__neq__one(T_a)
% 201.68/201.82 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_one__neq__zero,axiom,
% 201.68/201.82 ! [T_a] :
% 201.68/201.82 ( class_Rings_Ozero__neq__one(T_a)
% 201.68/201.82 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Suc__neq__Zero,axiom,
% 201.68/201.82 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Zero__neq__Suc,axiom,
% 201.68/201.82 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nat_Osimps_I3_J,axiom,
% 201.68/201.82 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Suc__not__Zero,axiom,
% 201.68/201.82 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nat_Osimps_I2_J,axiom,
% 201.68/201.82 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Zero__not__Suc,axiom,
% 201.68/201.82 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_not__less0,axiom,
% 201.68/201.82 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_neq0__conv,axiom,
% 201.68/201.82 ! [V_n_2] :
% 201.68/201.82 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_less__nat__zero__code,axiom,
% 201.68/201.82 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_gr__implies__not0,axiom,
% 201.68/201.82 ! [V_n,V_m] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.82 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_gr0I,axiom,
% 201.68/201.82 ! [V_n] :
% 201.68/201.82 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__eq__self__zero,axiom,
% 201.68/201.82 ! [V_n,V_m] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 201.68/201.82 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__is__0,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Nat_Oadd__0__right,axiom,
% 201.68/201.82 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 201.68/201.82
% 201.68/201.82 fof(fact_plus__nat_Oadd__0,axiom,
% 201.68/201.82 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 201.68/201.82
% 201.68/201.82 fof(fact_le__0__eq,axiom,
% 201.68/201.82 ! [V_n_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 201.68/201.82 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 201.68/201.82 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__0__eq__0,axiom,
% 201.68/201.82 ! [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) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_minus__nat_Odiff__0,axiom,
% 201.68/201.82 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__self__eq__0,axiom,
% 201.68/201.82 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diffs0__imp__equal,axiom,
% 201.68/201.82 ! [V_n,V_m] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 => V_m = V_n ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 201.68/201.82 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 | V_m_2 = V_n_2 ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__0,axiom,
% 201.68/201.82 ! [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) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__0__right,axiom,
% 201.68/201.82 ! [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) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__is__0,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__cancel1,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 201.68/201.82 <=> ( V_m_2 = V_n_2
% 201.68/201.82 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__cancel2,axiom,
% 201.68/201.82 ! [V_n_2,V_k_2,V_m_2] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)
% 201.68/201.82 <=> ( V_m_2 = V_n_2
% 201.68/201.82 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_finite__PlusD_I2_J,axiom,
% 201.68/201.82 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_finite__PlusD_I1_J,axiom,
% 201.68/201.82 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_finite__Plus,axiom,
% 201.68/201.82 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.68/201.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.68/201.82 => 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_finite__Plus__iff,axiom,
% 201.68/201.82 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card__Plus__conv__if,axiom,
% 201.68/201.82 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.68/201.82 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 201.68/201.82 => 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)) )
% 201.68/201.82 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 201.68/201.82 => 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) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 201.68/201.82 ! [V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 201.68/201.82 ! [V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__nonneg__nonneg,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__nonneg__eq__0__iff,axiom,
% 201.68/201.82 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__increasing,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__increasing2,axiom,
% 201.68/201.82 ! [V_a,V_b,V_c,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__nonpos__nonpos,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_split__mult__neg__le,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.68/201.82 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 201.68/201.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 201.68/201.82 => 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_split__mult__pos__le,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__ring(T_a)
% 201.68/201.82 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 201.68/201.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 201.68/201.82 => 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__mono,axiom,
% 201.68/201.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__semiring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__mono_H,axiom,
% 201.68/201.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__semiring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__left__mono__neg,axiom,
% 201.68/201.82 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__ring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__right__mono__neg,axiom,
% 201.68/201.82 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__ring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_comm__mult__left__mono,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__comm__semiring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__left__mono,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__semiring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__right__mono,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__semiring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__nonpos__nonpos,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__ring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__nonpos__nonneg,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__nonneg__nonpos2,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__nonneg__nonpos,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__nonneg__nonneg,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__le__0__iff,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 201.68/201.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__le__mult__iff,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 201.68/201.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__le__square,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__ring(T_a)
% 201.68/201.82 => 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))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 201.68/201.82 ! [V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 201.68/201.82 ! [V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__pos__pos,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__neg__neg,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_pos__add__strict,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_not__square__less__zero,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__ring(T_a)
% 201.68/201.82 => ~ 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))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__cancel__right__disj,axiom,
% 201.68/201.82 ! [V_b_2,V_ca_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_ca_2)))
% 201.68/201.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 201.68/201.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__cancel__left__disj,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 201.68/201.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 201.68/201.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__cancel__left__pos,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__pos__pos,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__pos__neg,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__pos__neg2,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__less__mult__pos,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__less__mult__pos2,axiom,
% 201.68/201.82 ! [V_a,V_b,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__cancel__left__neg,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__neg__pos,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__neg__neg,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__strict__right__mono,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__strict__left__mono,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_comm__mult__strict__left__mono,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__strict__right__mono__neg,axiom,
% 201.68/201.82 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__strict__left__mono__neg,axiom,
% 201.68/201.82 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_le__iff__diff__le__0,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 201.68/201.82 <=> 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_less__iff__diff__less__0,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.68/201.82 <=> 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__scale__eq__noteq,axiom,
% 201.68/201.82 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 201.68/201.82 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 201.68/201.82 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 => ( ( V_a = V_b
% 201.68/201.82 & V_c != V_d )
% 201.68/201.82 => 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)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_sum__squares__eq__zero__iff,axiom,
% 201.68/201.82 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( 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)
% 201.68/201.82 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__le__one,axiom,
% 201.68/201.82 ! [T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.82 => 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))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_not__one__le__zero,axiom,
% 201.68/201.82 ! [T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.82 => ~ 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))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_not__one__less__zero,axiom,
% 201.68/201.82 ! [T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.82 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__less__one,axiom,
% 201.68/201.82 ! [T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum_Oempty,axiom,
% 201.68/201.82 ! [V_g_2,T_c,T_b] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.68/201.82 => 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) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum__empty,axiom,
% 201.68/201.82 ! [V_f_2,T_c,T_b] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.68/201.82 => 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) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum__infinite,axiom,
% 201.68/201.82 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.82 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => 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) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum_Oinfinite,axiom,
% 201.68/201.82 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.82 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => 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) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setprod__zero__iff,axiom,
% 201.68/201.82 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 201.68/201.82 & class_Rings_Ono__zero__divisors(T_c) )
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( 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)
% 201.68/201.82 <=> ? [B_x] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.82 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setprod__zero,axiom,
% 201.68/201.82 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( class_Rings_Ocomm__semiring__1(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( ? [B_x] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.82 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.68/201.82 => 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) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_less__Suc__eq__0__disj,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.68/201.82 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 | ? [B_j] :
% 201.68/201.82 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_less__Suc0,axiom,
% 201.68/201.82 ! [V_n_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 201.68/201.82 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_gr0__conv__Suc,axiom,
% 201.68/201.82 ! [V_n_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 201.68/201.82 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__is__1,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.68/201.82 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.68/201.82 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.68/201.82 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_one__is__add,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)
% 201.68/201.82 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.68/201.82 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.68/201.82 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__gr__0,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)))
% 201.68/201.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 201.68/201.82 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card_Oempty,axiom,
% 201.68/201.82 ! [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) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card__infinite,axiom,
% 201.68/201.82 ! [V_A_2,T_b] :
% 201.68/201.82 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__eq__1__iff,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.68/201.82 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.68/201.82 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__less__diff,axiom,
% 201.68/201.82 ! [V_m_2,V_n_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__less,axiom,
% 201.68/201.82 ! [V_m,V_n] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.68/201.82 => 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)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__mono2,axiom,
% 201.68/201.82 ! [V_k,V_j,V_i] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 201.68/201.82 => 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__mono1,axiom,
% 201.68/201.82 ! [V_k,V_j,V_i] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 201.68/201.82 => 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__cancel2,axiom,
% 201.68/201.82 ! [V_n_2,V_k_2,V_m_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)))
% 201.68/201.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__cancel1,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 201.68/201.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nat__0__less__mult__iff,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)))
% 201.68/201.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nat__mult__less__cancel1,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nat__mult__eq__cancel1,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 201.68/201.82 <=> V_m_2 = V_n_2 ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__add__0,axiom,
% 201.68/201.82 ! [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) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__is__0__eq_H,axiom,
% 201.68/201.82 ! [V_n,V_m] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.82 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__is__0__eq,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_One__nat__def,axiom,
% 201.68/201.82 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__eq__self__implies__10,axiom,
% 201.68/201.82 ! [V_n,V_m] :
% 201.68/201.82 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 201.68/201.82 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.68/201.82 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum__eq__0__iff,axiom,
% 201.68/201.82 ! [V_f_2,V_F_2,T_b] :
% 201.68/201.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.68/201.82 => ( 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)
% 201.68/201.82 <=> ! [B_x] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 201.68/201.82 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__pos__nonneg,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__nonneg__pos,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__strict__increasing,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__strict__increasing2,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__neg__nonpos,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__nonpos__neg,axiom,
% 201.68/201.82 ! [V_b,V_a,T_a] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__le__cancel__left__pos,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__le__cancel__left__neg,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__strict__mono,axiom,
% 201.68/201.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__strict__mono_H,axiom,
% 201.68/201.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__le__imp__less,axiom,
% 201.68/201.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__le__less__imp__less,axiom,
% 201.68/201.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => 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))) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__right__less__imp__less,axiom,
% 201.68/201.82 ! [V_b,V_c,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring(T_a)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__imp__less__right,axiom,
% 201.68/201.82 ! [V_b,V_c,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__left__less__imp__less,axiom,
% 201.68/201.82 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring(T_a)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__less__imp__less__left,axiom,
% 201.68/201.82 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__right__le__imp__le,axiom,
% 201.68/201.82 ! [V_b,V_c,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__left__le__imp__le,axiom,
% 201.68/201.82 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_sum__squares__le__zero__iff,axiom,
% 201.68/201.82 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_sum__squares__ge__zero,axiom,
% 201.68/201.82 ! [V_y,V_x,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__ring(T_a)
% 201.68/201.82 => 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)))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_not__sum__squares__lt__zero,axiom,
% 201.68/201.82 ! [V_y,V_x,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__ring(T_a)
% 201.68/201.82 => ~ 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))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_sum__squares__gt__zero__iff,axiom,
% 201.68/201.82 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.68/201.82 => ( 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))))
% 201.68/201.82 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__left__le__one__le,axiom,
% 201.68/201.82 ! [V_y,V_x,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 201.68/201.82 => 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)) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__right__le__one__le,axiom,
% 201.68/201.82 ! [V_y,V_x,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 201.68/201.82 => 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)) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_zero__less__two,axiom,
% 201.68/201.82 ! [T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.82 => 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)))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card__eq__0__iff,axiom,
% 201.68/201.82 ! [V_A_2,T_b] :
% 201.68/201.82 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.82 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card__ge__0__finite,axiom,
% 201.68/201.82 ! [V_A_2,T_b] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__Suc__less,axiom,
% 201.68/201.82 ! [V_i,V_n] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.82 => 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)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Suc__pred,axiom,
% 201.68/201.82 ! [V_n] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.82 => 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 ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_n__less__m__mult__n,axiom,
% 201.68/201.82 ! [V_m,V_n] :
% 201.68/201.82 ( 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))
% 201.68/201.82 => ( 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))
% 201.68/201.82 => 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_n__less__n__mult__m,axiom,
% 201.68/201.82 ! [V_m,V_n] :
% 201.68/201.82 ( 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))
% 201.68/201.82 => ( 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))
% 201.68/201.82 => 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_one__less__mult,axiom,
% 201.68/201.82 ! [V_m,V_n] :
% 201.68/201.82 ( 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))
% 201.68/201.82 => ( 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))
% 201.68/201.82 => 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))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nat__diff__split__asm,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,V_Pa_2] :
% 201.68/201.82 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 201.68/201.82 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 201.68/201.82 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 201.68/201.82 | ? [B_d] :
% 201.68/201.82 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 201.68/201.82 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nat__diff__split,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,V_Pa_2] :
% 201.68/201.82 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 201.68/201.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 201.68/201.82 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 201.68/201.82 & ! [B_d] :
% 201.68/201.82 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 201.68/201.82 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_one__le__mult__iff,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)))
% 201.68/201.82 <=> ( 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))
% 201.68/201.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__le__cancel2,axiom,
% 201.68/201.82 ! [V_n_2,V_k_2,V_m_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)))
% 201.68/201.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__le__cancel1,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 201.68/201.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nat__mult__le__cancel1,axiom,
% 201.68/201.82 ! [V_n_2,V_m_2,V_k_2] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum__eq__Suc0__iff,axiom,
% 201.68/201.82 ! [V_f_2,V_A_2,T_b] :
% 201.68/201.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( 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))
% 201.68/201.82 <=> ? [B_x] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.82 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.68/201.82 & ! [B_xa] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 201.68/201.82 => ( B_x != B_xa
% 201.68/201.82 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum__eq__1__iff,axiom,
% 201.68/201.82 ! [V_f_2,V_A_2,T_b] :
% 201.68/201.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( 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)
% 201.68/201.82 <=> ? [B_x] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.82 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.68/201.82 & ! [B_xa] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 201.68/201.82 => ( B_x != B_xa
% 201.68/201.82 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setprod__pos__nat__iff,axiom,
% 201.68/201.82 ! [V_f_2,V_S_2,T_b] :
% 201.68/201.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> ! [B_x] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_convex__bound__le,axiom,
% 201.68/201.82 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 201.68/201.82 ( class_Rings_Olinordered__semiring__1(T_a)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 201.68/201.82 => 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)) ) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card__gt__0__iff,axiom,
% 201.68/201.82 ! [V_A_2,T_b] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.82 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum_Oeq__fold,axiom,
% 201.68/201.82 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => 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) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum_OF__eq,axiom,
% 201.68/201.82 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.82 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => 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) )
% 201.68/201.82 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => 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) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Suc__diff__1,axiom,
% 201.68/201.82 ! [V_n] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.82 => 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 ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Suc__pred_H,axiom,
% 201.68/201.82 ! [V_n] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.82 => 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))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__eq__if,axiom,
% 201.68/201.82 ! [V_n,V_m] :
% 201.68/201.82 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 201.68/201.82 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 => 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)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_mult__eq__if,axiom,
% 201.68/201.82 ! [V_n,V_m] :
% 201.68/201.82 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.68/201.82 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 => 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)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 201.68/201.82 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.68/201.82 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.68/201.82 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.68/201.82 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_even__less__0__iff,axiom,
% 201.68/201.82 ! [V_a_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_triple_Osize_I1_J,axiom,
% 201.68/201.82 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum__mono2,axiom,
% 201.68/201.82 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.82 => ( ! [B_b] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 201.68/201.82 => 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))) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Plus__eq__empty__conv,axiom,
% 201.68/201.82 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.68/201.82 ( 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))
% 201.68/201.82 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.82 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card_Ounion__inter__neutral,axiom,
% 201.68/201.82 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.82 => ( ( ? [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)))
% 201.68/201.82 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.68/201.82 => 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)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum__Un__zero,axiom,
% 201.68/201.82 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.68/201.82 => ( ! [B_x] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.68/201.82 => 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)) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 201.68/201.82 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.82 => ( ! [B_x] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.68/201.82 => 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)) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum__mono3,axiom,
% 201.68/201.82 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 201.68/201.82 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.82 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.82 => ( ! [B_x] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 201.68/201.82 => 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))) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_bot__nat__def,axiom,
% 201.68/201.82 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_double__eq__0__iff,axiom,
% 201.68/201.82 ! [V_a_2,T_b] :
% 201.68/201.82 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_triple_Osize_I2_J,axiom,
% 201.68/201.82 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_card__Suc__eq,axiom,
% 201.68/201.82 ! [V_k_2,V_A_2,T_b] :
% 201.68/201.82 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 201.68/201.82 <=> ? [B_b,B_B] :
% 201.68/201.82 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 201.68/201.82 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 201.68/201.82 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 201.68/201.82 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.82 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Ints__odd__less__0,axiom,
% 201.68/201.82 ! [V_a_2,T_b] :
% 201.68/201.82 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.82 => ( 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)))
% 201.68/201.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_com_Osize_I4_J,axiom,
% 201.68/201.82 ! [V_com2,V_com1] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1)),c_Com_Ocom_Ocom__size(V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_com_Osize_I12_J,axiom,
% 201.68/201.82 ! [V_com2,V_com1] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setprod__diff1,axiom,
% 201.68/201.82 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 201.68/201.82 ( class_Fields_Ofield(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.82 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 201.68/201.82 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.82 => 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)) )
% 201.68/201.82 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.82 => 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) ) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_ex__least__nat__less,axiom,
% 201.68/201.82 ! [V_n_2,V_Pa_2] :
% 201.68/201.82 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 201.68/201.82 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 201.68/201.82 => ? [B_k] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 201.68/201.82 & ! [B_i] :
% 201.68/201.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 201.68/201.82 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 201.68/201.82 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_setsum__mono__zero__right,axiom,
% 201.68/201.82 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 201.68/201.82 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 201.68/201.82 => ( ! [B_x] :
% 201.68/201.82 ( 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)))
% 201.68/201.82 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.68/201.82 => 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) ) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_divide__zero,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 201.68/201.82 => 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) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_divide__zero__left,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.82 => 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) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_add__divide__distrib,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.82 => 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)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_times__divide__eq__right,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.82 => 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) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_diff__divide__distrib,axiom,
% 201.68/201.82 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.82 => 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)) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_divide__1,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_eq__divide__imp,axiom,
% 201.68/201.82 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.82 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 201.68/201.82 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_divide__eq__imp,axiom,
% 201.68/201.82 ! [V_a,V_b,V_c,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.82 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 201.68/201.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nonzero__divide__eq__eq,axiom,
% 201.68/201.82 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_b)
% 201.68/201.82 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = V_a_2
% 201.68/201.82 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_nonzero__eq__divide__eq,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_b)
% 201.68/201.82 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)
% 201.68/201.82 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_b_2 ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_right__inverse__eq,axiom,
% 201.68/201.82 ! [V_a_2,V_b_2,T_b] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_b)
% 201.68/201.82 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.82 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 201.68/201.82 <=> V_a_2 = V_b_2 ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_divide__self,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.82 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_divide__self__if,axiom,
% 201.68/201.82 ! [V_a,T_a] :
% 201.68/201.82 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 201.68/201.82 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 201.68/201.82 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Ints__0,axiom,
% 201.68/201.82 ! [T_b] :
% 201.68/201.82 ( class_Rings_Oring__1(T_b)
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Ints__add,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Rings_Oring__1(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Ints__mult,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Rings_Oring__1(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Ints__diff,axiom,
% 201.68/201.82 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.82 ( class_Rings_Oring__1(T_b)
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.82 => 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))) ) ) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Ints__1,axiom,
% 201.68/201.82 ! [T_b] :
% 201.68/201.82 ( class_Rings_Oring__1(T_b)
% 201.68/201.82 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_com_Osize_I9_J,axiom,
% 201.68/201.82 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_com_Osize_I1_J,axiom,
% 201.68/201.82 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.82
% 201.68/201.82 fof(fact_Ints__double__eq__0__iff,axiom,
% 201.68/201.83 ! [V_a_2,T_b] :
% 201.68/201.83 ( class_Int_Oring__char__0(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.83 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Ints__odd__nonzero,axiom,
% 201.68/201.83 ! [V_a_2,T_b] :
% 201.68/201.83 ( class_Int_Oring__char__0(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_le__divide__eq,axiom,
% 201.68/201.83 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__le__eq,axiom,
% 201.68/201.83 ! [V_a_2,V_ca_2,V_b_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pos__le__divide__eq,axiom,
% 201.68/201.83 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pos__divide__le__eq,axiom,
% 201.68/201.83 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_mult__imp__div__pos__le,axiom,
% 201.68/201.83 ! [V_z,V_x,V_y,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => 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)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_mult__imp__le__div__pos,axiom,
% 201.68/201.83 ! [V_x,V_z,V_y,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.83 => ( 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))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_neg__le__divide__eq,axiom,
% 201.68/201.83 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_neg__divide__le__eq,axiom,
% 201.68/201.83 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_times__divide__times__eq,axiom,
% 201.68/201.83 ! [V_w,V_z,V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__right__mono__neg,axiom,
% 201.68/201.83 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__right__mono,axiom,
% 201.68/201.83 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__le__0__iff,axiom,
% 201.68/201.83 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 201.68/201.83 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zero__le__divide__iff,axiom,
% 201.68/201.83 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 201.68/201.83 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zero__less__divide__iff,axiom,
% 201.68/201.83 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 201.68/201.83 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__less__0__iff,axiom,
% 201.68/201.83 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 201.68/201.83 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__pos__pos,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__pos__neg,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__neg__pos,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__neg__neg,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__strict__right__mono,axiom,
% 201.68/201.83 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__strict__right__mono__neg,axiom,
% 201.68/201.83 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_frac__eq__eq,axiom,
% 201.68/201.83 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 201.68/201.83 ( class_Fields_Ofield(T_b)
% 201.68/201.83 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => ( 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)
% 201.68/201.83 <=> 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) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_mult__divide__mult__cancel__left,axiom,
% 201.68/201.83 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.83 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.83 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_mult__divide__mult__cancel__right,axiom,
% 201.68/201.83 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.83 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.83 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__eq__eq,axiom,
% 201.68/201.83 ! [V_a_2,V_ca_2,V_b_2,T_b] :
% 201.68/201.83 ( class_Fields_Ofield__inverse__zero(T_b)
% 201.68/201.83 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = V_a_2
% 201.68/201.83 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) )
% 201.68/201.83 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_eq__divide__eq,axiom,
% 201.68/201.83 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( class_Fields_Ofield__inverse__zero(T_b)
% 201.68/201.83 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)
% 201.68/201.83 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_b_2 )
% 201.68/201.83 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__nonpos__neg,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__nonpos__pos,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_frac__le,axiom,
% 201.68/201.83 ! [V_z,V_w,V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 201.68/201.83 => 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))) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_frac__less,axiom,
% 201.68/201.83 ! [V_z,V_w,V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 201.68/201.83 => 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))) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_frac__less2,axiom,
% 201.68/201.83 ! [V_z,V_w,V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 201.68/201.83 => 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))) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__nonneg__neg,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__nonneg__pos,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__strict__left__mono__neg,axiom,
% 201.68/201.83 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => 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))) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__strict__left__mono,axiom,
% 201.68/201.83 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => 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))) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_neg__divide__less__eq,axiom,
% 201.68/201.83 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_neg__less__divide__eq,axiom,
% 201.68/201.83 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_mult__imp__less__div__pos,axiom,
% 201.68/201.83 ! [V_x,V_z,V_y,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.83 => ( 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))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_mult__imp__div__pos__less,axiom,
% 201.68/201.83 ! [V_z,V_x,V_y,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => 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)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pos__divide__less__eq,axiom,
% 201.68/201.83 ! [V_a_2,V_b_2,V_ca_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pos__less__divide__eq,axiom,
% 201.68/201.83 ! [V_b_2,V_a_2,V_ca_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__less__eq,axiom,
% 201.68/201.83 ! [V_a_2,V_ca_2,V_b_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_a_2))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_less__divide__eq,axiom,
% 201.68/201.83 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2)),V_b_2)) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2))) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_add__num__frac,axiom,
% 201.68/201.83 ! [V_x,V_z,V_y,T_a] :
% 201.68/201.83 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.83 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_add__divide__eq__iff,axiom,
% 201.68/201.83 ! [V_y,V_x,V_z,T_a] :
% 201.68/201.83 ( class_Fields_Ofield(T_a)
% 201.68/201.83 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_add__frac__num,axiom,
% 201.68/201.83 ! [V_z,V_x,V_y,T_a] :
% 201.68/201.83 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.83 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__add__eq__iff,axiom,
% 201.68/201.83 ! [V_y,V_x,V_z,T_a] :
% 201.68/201.83 ( class_Fields_Ofield(T_a)
% 201.68/201.83 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_add__frac__eq,axiom,
% 201.68/201.83 ! [V_w,V_x,V_z,V_y,T_a] :
% 201.68/201.83 ( class_Fields_Ofield(T_a)
% 201.68/201.83 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_diff__frac__eq,axiom,
% 201.68/201.83 ! [V_w,V_x,V_z,V_y,T_a] :
% 201.68/201.83 ( class_Fields_Ofield(T_a)
% 201.68/201.83 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__diff__eq__iff,axiom,
% 201.68/201.83 ! [V_y,V_x,V_z,T_a] :
% 201.68/201.83 ( class_Fields_Ofield(T_a)
% 201.68/201.83 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_diff__divide__eq__iff,axiom,
% 201.68/201.83 ! [V_y,V_x,V_z,T_a] :
% 201.68/201.83 ( class_Fields_Ofield(T_a)
% 201.68/201.83 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_gt__half__sum,axiom,
% 201.68/201.83 ! [V_b,V_a,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.83 => 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)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_less__half__sum,axiom,
% 201.68/201.83 ! [V_b,V_a,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.83 => 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))))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__left__mono__neg,axiom,
% 201.68/201.83 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => 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))) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__left__mono,axiom,
% 201.68/201.83 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => 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))) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_setprod__Un,axiom,
% 201.68/201.83 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.68/201.83 ( class_Fields_Ofield(T_c)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.83 => ( ! [B_x] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 201.68/201.83 => 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))) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_setsum__mono__zero__left,axiom,
% 201.68/201.83 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 201.68/201.83 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 201.68/201.83 => ( ! [B_x] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.68/201.83 => 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) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_field__le__mult__one__interval,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.68/201.83 => ( ! [B_z] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 201.68/201.83 => 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)) ) )
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_setprod__pos__nat,axiom,
% 201.68/201.83 ! [V_f_2,V_S_2,T_b] :
% 201.68/201.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.68/201.83 => ( ! [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.68/201.83 => 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))) )
% 201.68/201.83 => 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_setsum__SucD,axiom,
% 201.68/201.83 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 201.68/201.83 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 201.68/201.83 => ? [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.83 & 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osize_I5_J,axiom,
% 201.68/201.83 ! [V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1_2)),c_Com_Ocom_Ocom__size(V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osize_I13_J,axiom,
% 201.68/201.83 ! [V_com2_2,V_com1_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1_2)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_card_Oneutral,axiom,
% 201.68/201.83 ! [V_A_2,T_b] :
% 201.68/201.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.83 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.68/201.83 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I4_J,axiom,
% 201.68/201.83 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 201.68/201.83 ( c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) = c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2)
% 201.68/201.83 <=> ( V_fun_2 = V_fun_H_2
% 201.68/201.83 & V_com1_2 = V_com1_H_2
% 201.68/201.83 & V_com2_2 = V_com2_H_2 ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I44_J,axiom,
% 201.68/201.83 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I45_J,axiom,
% 201.68/201.83 ! [V_com2_2,V_com1_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I14_J,axiom,
% 201.68/201.83 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I15_J,axiom,
% 201.68/201.83 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSKIP ).
% 201.68/201.83
% 201.68/201.83 fof(fact_fold__sup__le__sup,axiom,
% 201.68/201.83 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Lattices_Osemilattice__sup(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( ! [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_ca_2))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_expand__Suc,axiom,
% 201.68/201.83 ! [V_v] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 => 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osize_I11_J,axiom,
% 201.68/201.83 ! [V_com_2,V_fun_2,V_loc_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osize_I3_J,axiom,
% 201.68/201.83 ! [V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_UnionE,axiom,
% 201.68/201.83 ! [V_C_2,V_A_2,T_b] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 => ~ ! [B_X] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 201.68/201.83 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_setprod__pos,axiom,
% 201.68/201.83 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_c)
% 201.68/201.83 => ( ! [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 201.68/201.83 => 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_setprod__nonneg,axiom,
% 201.68/201.83 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_c)
% 201.68/201.83 => ( ! [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 201.68/201.83 => 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I2_J,axiom,
% 201.68/201.83 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 201.68/201.83 ( c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) = c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2)
% 201.68/201.83 <=> ( V_loc_2 = V_loc_H_2
% 201.68/201.83 & V_fun_2 = V_fun_H_2
% 201.68/201.83 & V_com_2 = V_com_H_2 ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_number__of__reorient,axiom,
% 201.68/201.83 ! [V_x_2,V_w_2,T_b] :
% 201.68/201.83 ( class_Int_Onumber(T_b)
% 201.68/201.83 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 201.68/201.83 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_eq__number__of,axiom,
% 201.68/201.83 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.83 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.83 & class_Int_Oring__char__0(T_b) )
% 201.68/201.83 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 201.68/201.83 <=> V_x_2 = V_y_2 ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_le__number__of,axiom,
% 201.68/201.83 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.83 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.83 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_less__number__of,axiom,
% 201.68/201.83 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.83 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.83 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_number__of__add,axiom,
% 201.68/201.83 ! [V_w,V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_add__number__of__eq,axiom,
% 201.68/201.83 ! [V_w,V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_add__number__of__left,axiom,
% 201.68/201.83 ! [V_z,V_w,V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => 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) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_mult__number__of__left,axiom,
% 201.68/201.83 ! [V_z,V_w,V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => 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) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_arith__simps_I32_J,axiom,
% 201.68/201.83 ! [V_w,V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_number__of__mult,axiom,
% 201.68/201.83 ! [V_w,V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_number__of__diff,axiom,
% 201.68/201.83 ! [V_w,V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I37_J,axiom,
% 201.68/201.83 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I36_J,axiom,
% 201.68/201.83 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I34_J,axiom,
% 201.68/201.83 ! [V_com2_H_2,V_com1_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I35_J,axiom,
% 201.68/201.83 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I11_J,axiom,
% 201.68/201.83 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I10_J,axiom,
% 201.68/201.83 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_le__number__of__eq__not__less,axiom,
% 201.68/201.83 ! [V_w_2,V_v_2,T_b] :
% 201.68/201.83 ( ( class_Int_Onumber(T_b)
% 201.68/201.83 & class_Orderings_Olinorder(T_b) )
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> ~ 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_right__distrib__number__of,axiom,
% 201.68/201.83 ! [V_c,V_b,V_v,T_b] :
% 201.68/201.83 ( ( class_Int_Onumber(T_b)
% 201.68/201.83 & class_Rings_Osemiring(T_b) )
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_left__distrib__number__of,axiom,
% 201.68/201.83 ! [V_v,V_b,V_a,T_b] :
% 201.68/201.83 ( ( class_Int_Onumber(T_b)
% 201.68/201.83 & class_Rings_Osemiring(T_b) )
% 201.68/201.83 => 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_add__number__of__diff1,axiom,
% 201.68/201.83 ! [V_c,V_w,V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => 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) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_left__diff__distrib__number__of,axiom,
% 201.68/201.83 ! [V_v,V_b,V_a,T_b] :
% 201.68/201.83 ( ( class_Int_Onumber(T_b)
% 201.68/201.83 & class_Rings_Oring(T_b) )
% 201.68/201.83 => 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_right__diff__distrib__number__of,axiom,
% 201.68/201.83 ! [V_c,V_b,V_v,T_b] :
% 201.68/201.83 ( ( class_Int_Onumber(T_b)
% 201.68/201.83 & class_Rings_Oring(T_b) )
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Ints__number__of,axiom,
% 201.68/201.83 ! [V_w_2,T_b] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_b)
% 201.68/201.83 => 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_eq__divide__eq__number__of1,axiom,
% 201.68/201.83 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( 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))
% 201.68/201.83 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => 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 )
% 201.68/201.83 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_eq__divide__eq__number__of,axiom,
% 201.68/201.83 ! [V_ca_2,V_b_2,V_w_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)
% 201.68/201.83 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2) = V_b_2 )
% 201.68/201.83 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__eq__eq__number__of,axiom,
% 201.68/201.83 ! [V_w_2,V_ca_2,V_b_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 201.68/201.83 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2) )
% 201.68/201.83 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__eq__eq__number__of1,axiom,
% 201.68/201.83 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( 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
% 201.68/201.83 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => 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)) )
% 201.68/201.83 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.83 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_less__divide__eq__number__of1,axiom,
% 201.68/201.83 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( 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))))
% 201.68/201.83 <=> ( ( 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)))
% 201.68/201.83 => 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)) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => ( ( 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)))
% 201.68/201.83 => 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)))) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_less__divide__eq__number__of,axiom,
% 201.68/201.83 ! [V_ca_2,V_b_2,V_w_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_b_2)) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => 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))) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__less__eq__number__of,axiom,
% 201.68/201.83 ! [V_w_2,V_ca_2,V_b_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_b_2)) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => 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))) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__less__eq__number__of1,axiom,
% 201.68/201.83 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( 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))
% 201.68/201.83 <=> ( ( 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)))
% 201.68/201.83 => 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)))) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => ( ( 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)))
% 201.68/201.83 => 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)) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__le__eq__number__of1,axiom,
% 201.68/201.83 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( 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))
% 201.68/201.83 <=> ( ( 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)))
% 201.68/201.83 => 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)))) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => ( ( 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)))
% 201.68/201.83 => 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)) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_divide__le__eq__number__of,axiom,
% 201.68/201.83 ! [V_w_2,V_ca_2,V_b_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_b_2)) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => 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))) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_le__divide__eq__number__of,axiom,
% 201.68/201.83 ! [V_ca_2,V_b_2,V_w_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 201.68/201.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2)),V_b_2)) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 201.68/201.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2))) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.68/201.83 => 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))) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_le__divide__eq__number__of1,axiom,
% 201.68/201.83 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 201.68/201.83 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.83 & class_Int_Onumber(T_b) )
% 201.68/201.83 => ( 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))))
% 201.68/201.83 <=> ( ( 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)))
% 201.68/201.83 => 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)) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => ( ( 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)))
% 201.68/201.83 => 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)))) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_finite__induct,axiom,
% 201.68/201.83 ! [V_Pa_2,V_F_2,T_b] :
% 201.68/201.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.68/201.83 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 201.68/201.83 => ( ! [B_x,B_F] :
% 201.68/201.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 201.68/201.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 201.68/201.83 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 201.68/201.83 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 201.68/201.83 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_fold1__antimono,axiom,
% 201.68/201.83 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.83 => 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))) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osize_I6_J,axiom,
% 201.68/201.83 ! [V_com_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osize_I14_J,axiom,
% 201.68/201.83 ! [V_com_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_number__of__succ,axiom,
% 201.68/201.83 ! [V_k,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_field__le__epsilon,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.83 => ( ! [B_e] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 201.68/201.83 => 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))) )
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pair__box_Osize_I1_J,axiom,
% 201.68/201.83 ! [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))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_times__numeral__code_I5_J,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_plus__numeral__code_I9_J,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_less__number__of__int__code,axiom,
% 201.68/201.83 ! [V_l_2,V_k_2] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_less__eq__number__of__int__code,axiom,
% 201.68/201.83 ! [V_l_2,V_k_2] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pos__zmult__eq__1__iff,axiom,
% 201.68/201.83 ! [V_n_2,V_m_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 201.68/201.83 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.68/201.83 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.68/201.83 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_odd__nonzero,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__one__le__iff__zero__less,axiom,
% 201.68/201.83 ! [V_z_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__0__less__1,axiom,
% 201.68/201.83 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))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_le__imp__0__less,axiom,
% 201.68/201.83 ! [V_z] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.68/201.83 => 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_odd__less__0,axiom,
% 201.68/201.83 ! [V_z_2] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zmult__zless__mono2,axiom,
% 201.68/201.83 ! [V_k,V_j,V_i] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 201.68/201.83 => 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__0,axiom,
% 201.68/201.83 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__0__right,axiom,
% 201.68/201.83 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 201.68/201.83
% 201.68/201.83 fof(fact_less__bin__lemma,axiom,
% 201.68/201.83 ! [V_l_2,V_k_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 201.68/201.83 <=> 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__left__mono,axiom,
% 201.68/201.83 ! [V_k,V_j,V_i] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 201.68/201.83 => 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__strict__right__mono,axiom,
% 201.68/201.83 ! [V_k,V_j,V_i] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 201.68/201.83 => 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__zless__mono,axiom,
% 201.68/201.83 ! [V_z,V_z_H,V_w,V_w_H] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 201.68/201.83 => 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zle__antisym,axiom,
% 201.68/201.83 ! [V_w,V_z] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 201.68/201.83 => V_z = V_w ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zle__trans,axiom,
% 201.68/201.83 ! [V_k,V_j,V_i] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zle__linear,axiom,
% 201.68/201.83 ! [V_w,V_z] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 201.68/201.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zle__refl,axiom,
% 201.68/201.83 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zless__linear,axiom,
% 201.68/201.83 ! [V_y,V_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 201.68/201.83 | V_x = V_y
% 201.68/201.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zless__le,axiom,
% 201.68/201.83 ! [V_w_2,V_z_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 201.68/201.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 201.68/201.83 & V_z_2 != V_w_2 ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__assoc,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__left__commute,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__commute,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__zmult__distrib,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__zmult__distrib2,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zmult__assoc,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zmult__commute,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zdiff__zmult__distrib2,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zdiff__zmult__distrib,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zless__add1__eq,axiom,
% 201.68/201.83 ! [V_z_2,V_w_2] :
% 201.68/201.83 ( 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))))
% 201.68/201.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 201.68/201.83 | V_w_2 = V_z_2 ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zle__add1__eq__le,axiom,
% 201.68/201.83 ! [V_z_2,V_w_2] :
% 201.68/201.83 ( 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))))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_add1__zle__eq,axiom,
% 201.68/201.83 ! [V_z_2,V_w_2] :
% 201.68/201.83 ( 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))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zless__imp__add1__zle,axiom,
% 201.68/201.83 ! [V_z,V_w] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zle__diff1__eq,axiom,
% 201.68/201.83 ! [V_z_2,V_w_2] :
% 201.68/201.83 ( 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))))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_succ__def,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zmult__1__right,axiom,
% 201.68/201.83 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zmult__1,axiom,
% 201.68/201.83 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pair__box_Oinject,axiom,
% 201.68/201.83 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 201.68/201.83 ( 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)
% 201.68/201.83 <=> ( V_a_2 = V_a_H_2
% 201.68/201.83 & V_b_2 = V_b_H_2 ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Min_Oidem,axiom,
% 201.68/201.83 ! [V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I5_J,axiom,
% 201.68/201.83 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 201.68/201.83 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 201.68/201.83 <=> ( V_fun_2 = V_fun_H_2
% 201.68/201.83 & V_com_2 = V_com_H_2 ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__assoc,axiom,
% 201.68/201.83 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf_Oassoc,axiom,
% 201.68/201.83 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__left__commute,axiom,
% 201.68/201.83 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 201.68/201.83 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__left__idem,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 201.68/201.83 ! [V_b,V_a,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__commute,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf_Ocommute,axiom,
% 201.68/201.83 ! [V_b,V_a,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf_Oidem,axiom,
% 201.68/201.83 ! [V_a,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__le1,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__le2,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ole__iff__inf,axiom,
% 201.68/201.83 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.83 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ole__inf__iff,axiom,
% 201.68/201.83 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ole__infI1,axiom,
% 201.68/201.83 ! [V_b,V_x,V_a,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.68/201.83 => 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)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ole__infI2,axiom,
% 201.68/201.83 ! [V_a,V_x,V_b,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 201.68/201.83 => 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)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__absorb1,axiom,
% 201.68/201.83 ! [V_y,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.83 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__absorb2,axiom,
% 201.68/201.83 ! [V_x,V_y,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.68/201.83 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ole__infI,axiom,
% 201.68/201.83 ! [V_b,V_a,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__greatest,axiom,
% 201.68/201.83 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oinf__mono,axiom,
% 201.68/201.83 ! [V_d,V_b,V_c,V_a,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ole__infE,axiom,
% 201.68/201.83 ! [V_b,V_a,V_x,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.68/201.83 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__le__iff__disj,axiom,
% 201.68/201.83 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( 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))
% 201.68/201.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 201.68/201.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__less__iff__disj,axiom,
% 201.68/201.83 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( 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))
% 201.68/201.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 201.68/201.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__less__iff__conj,axiom,
% 201.68/201.83 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oless__infI2,axiom,
% 201.68/201.83 ! [V_a,V_x,V_b,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 201.68/201.83 => 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)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Oless__infI1,axiom,
% 201.68/201.83 ! [V_b,V_x,V_a,T_a] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 201.68/201.83 => 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)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__add__distrib__left,axiom,
% 201.68/201.83 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.83 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__diff__distrib__left,axiom,
% 201.68/201.83 ! [V_z,V_y,V_x,T_a] :
% 201.68/201.83 ( class_Groups_Oordered__ab__group__add(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_inf__min,axiom,
% 201.68/201.83 ! [T_b] :
% 201.68/201.83 ( ( class_Lattices_Osemilattice__inf(T_b)
% 201.68/201.83 & class_Orderings_Olinorder(T_b) )
% 201.68/201.83 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__0L,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__0R,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__Suc__Suc,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__diff,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 201.68/201.83 ! [T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I52_J,axiom,
% 201.68/201.83 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I53_J,axiom,
% 201.68/201.83 ! [V_com2_2,V_com1_2,V_fun_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I46_J,axiom,
% 201.68/201.83 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I47_J,axiom,
% 201.68/201.83 ! [V_com2_2,V_com1_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I38_J,axiom,
% 201.68/201.83 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I39_J,axiom,
% 201.68/201.83 ! [V_com_2,V_fun_2,V_loc_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I16_J,axiom,
% 201.68/201.83 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_com_Osimps_I17_J,axiom,
% 201.68/201.83 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__number__of,axiom,
% 201.68/201.83 ! [V_v,V_u,T_b] :
% 201.68/201.83 ( ( class_Int_Onumber(T_b)
% 201.68/201.83 & class_Orderings_Oord(T_b) )
% 201.68/201.83 => ( ( 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)))
% 201.68/201.83 => 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) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => 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) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ofold__inf__insert,axiom,
% 201.68/201.83 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => 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)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 201.68/201.83 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.83 => 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))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Ofold1__belowI,axiom,
% 201.68/201.83 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.68/201.83 => 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)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> ! [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_fold1__below__iff,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.83 => ( 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))
% 201.68/201.83 <=> ? [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_fold1__strict__below__iff,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.83 => ( 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))
% 201.68/201.83 <=> ? [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_strict__below__fold1__iff,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.83 => ( 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)))
% 201.68/201.83 <=> ! [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_self__quotient__aux1,axiom,
% 201.68/201.83 ! [V_q,V_r,V_a] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.83 => ( 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))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_self__quotient__aux2,axiom,
% 201.68/201.83 ! [V_q,V_r,V_a] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.83 => ( 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))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 201.68/201.83 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 201.68/201.83 ( 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)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_unique__quotient__lemma__neg,axiom,
% 201.68/201.83 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zdiv__mono2__lemma,axiom,
% 201.68/201.83 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 201.68/201.83 ( 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)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_unique__quotient__lemma,axiom,
% 201.68/201.83 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_q__neg__lemma,axiom,
% 201.68/201.83 ! [V_r_H,V_q_H,V_b_H] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_number__of__is__id,axiom,
% 201.68/201.83 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 201.68/201.83
% 201.68/201.83 fof(fact_inf__nat__def,axiom,
% 201.68/201.83 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__0__neq__1,axiom,
% 201.68/201.83 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_q__pos__lemma,axiom,
% 201.68/201.83 ! [V_r_H,V_q_H,V_b_H] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 201.68/201.83 ! [V_y,V_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.83 => 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 201.68/201.83 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))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 201.68/201.83 ! [V_y,V_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.83 => 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pair__box_Osize_I2_J,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pair__box_Orecs,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_pair__box_Osimps_I2_J,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__ord__min,axiom,
% 201.68/201.83 ! [T_b] :
% 201.68/201.83 ( class_Orderings_Oord(T_b)
% 201.68/201.83 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 201.68/201.83 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))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Suc__nat__number__of__add,axiom,
% 201.68/201.83 ! [V_n,V_v] :
% 201.68/201.83 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.83 => 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) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_tsub__def,axiom,
% 201.68/201.83 ! [V_x,V_y] :
% 201.68/201.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 201.68/201.83 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 201.68/201.83 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Min_Oremove,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.83 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.83 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 201.68/201.83 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.83 => 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)))))) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.83 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.83 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 201.68/201.83 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.83 => 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)))))) ) ) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Suc__nat__number__of,axiom,
% 201.68/201.83 ! [V_v] :
% 201.68/201.83 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.83 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.83 => 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)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__number__of__lemma,axiom,
% 201.68/201.83 ! [V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => ( ( 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)))
% 201.68/201.83 => 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) )
% 201.68/201.83 & ( ~ 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)))
% 201.68/201.83 => 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) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Min_Oeq__fold_H,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.83 => 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) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__eq__iff,axiom,
% 201.68/201.83 ! [V_n_2,V_m_2,T_b] :
% 201.68/201.83 ( class_Nat_Osemiring__char__0(T_b)
% 201.68/201.83 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)
% 201.68/201.83 <=> V_m_2 = V_n_2 ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_not__neg__int,axiom,
% 201.68/201.83 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_not__neg__0,axiom,
% 201.68/201.83 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_not__neg__1,axiom,
% 201.68/201.83 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__nat__number__of,axiom,
% 201.68/201.83 ! [V_v] :
% 201.68/201.83 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.83 => 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) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__0,axiom,
% 201.68/201.83 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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__eq__0__conv,axiom,
% 201.68/201.83 ! [V_n_2] :
% 201.68/201.83 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.83 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 201.68/201.83 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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zero__zle__int,axiom,
% 201.68/201.83 ! [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))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 201.68/201.83 ! [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))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 201.68/201.83 ! [V_Pa_2] :
% 201.68/201.83 ( ? [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.68/201.83 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.68/201.83 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 201.68/201.83 ! [V_Pa_2] :
% 201.68/201.83 ( ! [B_x] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.68/201.83 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.68/201.83 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__less__0__conv,axiom,
% 201.68/201.83 ! [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))) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zless__int,axiom,
% 201.68/201.83 ! [V_n_2,V_m_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 201.68/201.83 ! [V_y_2,V_x_2] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zle__int,axiom,
% 201.68/201.83 ! [V_n_2,V_m_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 201.68/201.83 ! [V_y_2,V_x_2] :
% 201.68/201.83 ( 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)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__int__left,axiom,
% 201.68/201.83 ! [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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zadd__int,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zle__iff__zadd,axiom,
% 201.68/201.83 ! [V_z_2,V_w_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 201.68/201.83 <=> ? [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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__0__le__iff,axiom,
% 201.68/201.83 ! [V_n,T_a] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.83 => 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zero__le__imp__of__nat,axiom,
% 201.68/201.83 ! [V_m,T_a] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.83 => 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__less__0__iff,axiom,
% 201.68/201.83 ! [V_m,T_a] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.83 => ~ 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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__number__of__eq,axiom,
% 201.68/201.83 ! [V_v,T_a] :
% 201.68/201.83 ( class_Int_Onumber__ring(T_a)
% 201.68/201.83 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.83 => 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) )
% 201.68/201.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.83 => 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) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zmult__int,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__mult,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__0,axiom,
% 201.68/201.83 ! [T_a] :
% 201.68/201.83 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.83 => 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) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__less__imp__less,axiom,
% 201.68/201.83 ! [V_n,V_m,T_a] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.83 => ( 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)))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_less__imp__of__nat__less,axiom,
% 201.68/201.83 ! [V_n,V_m,T_a] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.83 => 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__less__iff,axiom,
% 201.68/201.83 ! [V_n_2,V_m_2,T_b] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__1,axiom,
% 201.68/201.83 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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 201.68/201.83 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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__le__iff,axiom,
% 201.68/201.83 ! [V_n_2,V_m_2,T_b] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__add,axiom,
% 201.68/201.83 ! [V_n,V_m,T_a] :
% 201.68/201.83 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__mult,axiom,
% 201.68/201.83 ! [V_n,V_m,T_a] :
% 201.68/201.83 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__1,axiom,
% 201.68/201.83 ! [T_a] :
% 201.68/201.83 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.83 => 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) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Ints__of__nat,axiom,
% 201.68/201.83 ! [V_n_2,T_b] :
% 201.68/201.83 ( class_Rings_Oring__1(T_b)
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Min_Osingleton,axiom,
% 201.68/201.83 ! [V_x_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => 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 ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_not__neg__eq__ge__0,axiom,
% 201.68/201.83 ! [V_x_2] :
% 201.68/201.83 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_neg__def,axiom,
% 201.68/201.83 ! [V_Z_2] :
% 201.68/201.83 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__le__0__conv,axiom,
% 201.68/201.83 ! [V_n_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.83 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__Suc0__eq__1,axiom,
% 201.68/201.83 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) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zless__iff__Suc__zadd,axiom,
% 201.68/201.83 ! [V_z_2,V_w_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 201.68/201.83 <=> ? [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))) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_int__Suc,axiom,
% 201.68/201.83 ! [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)) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zdiff__int,axiom,
% 201.68/201.83 ! [V_m,V_n] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__Suc,axiom,
% 201.68/201.83 ! [V_m,T_a] :
% 201.68/201.83 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.83 => 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)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__diff,axiom,
% 201.68/201.83 ! [V_m,V_n,T_a] :
% 201.68/201.83 ( class_Rings_Oring__1(T_a)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.68/201.83 => 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)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.83 => 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) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Min__le,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.83 => 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)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 201.68/201.83 ! [V_x_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => 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 ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Min__in,axiom,
% 201.68/201.83 ! [V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.83 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Min_Oin__idem,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.83 => 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) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_neg__imp__number__of__eq__0,axiom,
% 201.68/201.83 ! [V_v] :
% 201.68/201.83 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.83 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 201.68/201.83 ! [V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_Min_OF__eq,axiom,
% 201.68/201.83 ! [V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => 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) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zero__less__int__conv,axiom,
% 201.68/201.83 ! [V_n_2] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_zmult__zless__mono2__lemma,axiom,
% 201.68/201.83 ! [V_k,V_j,V_i] :
% 201.68/201.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 201.68/201.83 => 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))) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_of__nat__0__less__iff,axiom,
% 201.68/201.83 ! [V_n_2,T_b] :
% 201.68/201.83 ( class_Rings_Olinordered__semidom(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 201.68/201.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 201.68/201.83 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.83 => 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)) ) ) ) ).
% 201.68/201.83
% 201.68/201.83 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 201.68/201.83 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.83 ( class_Orderings_Olinorder(T_b)
% 201.68/201.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.84 => 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) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 201.68/201.84 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.84 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => 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)) ) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min__antimono,axiom,
% 201.68/201.84 ! [V_N_2,V_M_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 201.68/201.84 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.68/201.84 => 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))) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 201.68/201.84 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => 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) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min__insert,axiom,
% 201.68/201.84 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => 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)) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min_Osubset__idem,axiom,
% 201.68/201.84 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.84 => 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) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min__Un,axiom,
% 201.68/201.84 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.84 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => 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)) ) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_eq__nat__number__of,axiom,
% 201.68/201.84 ! [V_v_H_2,V_v_2] :
% 201.68/201.84 ( 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)
% 201.68/201.84 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 201.68/201.84 => 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))) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 201.68/201.84 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 201.68/201.84 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 201.68/201.84 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nat__number__of__add__left,axiom,
% 201.68/201.84 ! [V_k,V_v_H,V_v] :
% 201.68/201.84 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.84 => 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) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.84 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.68/201.84 => 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) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.68/201.84 => 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) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 201.68/201.84 ! [V_a_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => 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) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 201.68/201.84 ! [V_y,V_x] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.84 => 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))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_tsub__eq,axiom,
% 201.68/201.84 ! [V_x,V_y] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 201.68/201.84 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 201.68/201.84 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => 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)) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 201.68/201.84 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.84 => 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 )
% 201.68/201.84 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.84 => 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)))))) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 201.68/201.84 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.84 => ( 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))
% 201.68/201.84 => 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)) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 201.68/201.84 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.84 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( 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))
% 201.68/201.84 => 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)) ) ) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 201.68/201.84 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.84 => 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) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min_Oinsert,axiom,
% 201.68/201.84 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => 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)) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min_Oinsert__remove,axiom,
% 201.68/201.84 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.84 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 201.68/201.84 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.68/201.84 => 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)))))) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min_Ounion__inter,axiom,
% 201.68/201.84 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.84 => ( 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))
% 201.68/201.84 => 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)) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min_Ounion__disjoint,axiom,
% 201.68/201.84 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.68/201.84 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( 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))
% 201.68/201.84 => 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)) ) ) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zdiff__int__split,axiom,
% 201.68/201.84 ! [V_y_2,V_x_2,V_Pa_2] :
% 201.68/201.84 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 201.68/201.84 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 201.68/201.84 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 201.68/201.84 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 201.68/201.84 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 201.68/201.84 ! [V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( ! [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))))))
% 201.68/201.84 => 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)) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min_Oclosed,axiom,
% 201.68/201.84 ! [V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.84 => ( ! [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))))))
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_setsum__bounded,axiom,
% 201.68/201.84 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 201.68/201.84 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 201.68/201.84 & class_Rings_Osemiring__1(T_c) )
% 201.68/201.84 => ( ! [B_i] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 201.68/201.84 => 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))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nat__1__add__number__of,axiom,
% 201.68/201.84 ! [V_v] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nat__number__of__add__1,axiom,
% 201.68/201.84 ! [V_v] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__number__of__pred__iff__0,axiom,
% 201.68/201.84 ! [V_v_2] :
% 201.68/201.84 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 201.68/201.84 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 201.68/201.84 ! [V_y_2,V_x_2] :
% 201.68/201.84 ( 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)
% 201.68/201.84 <=> V_x_2 = V_y_2 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_int__int__eq,axiom,
% 201.68/201.84 ! [V_n_2,V_m_2] :
% 201.68/201.84 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)
% 201.68/201.84 <=> V_m_2 = V_n_2 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Pls__def,axiom,
% 201.68/201.84 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I19_J,axiom,
% 201.68/201.84 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I2_J,axiom,
% 201.68/201.84 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__Pls__right,axiom,
% 201.68/201.84 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__Pls,axiom,
% 201.68/201.84 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mult__Pls,axiom,
% 201.68/201.84 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__bin__simps_I1_J,axiom,
% 201.68/201.84 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 201.68/201.84
% 201.68/201.84 fof(fact_succ__pred,axiom,
% 201.68/201.84 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 201.68/201.84
% 201.68/201.84 fof(fact_semiring__norm_I112_J,axiom,
% 201.68/201.84 ! [T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_number__of__Pls,axiom,
% 201.68/201.84 ! [T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__numeral__0,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__numeral__0__right,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_number__of2,axiom,
% 201.68/201.84 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))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_bin__less__0__simps_I1_J,axiom,
% 201.68/201.84 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nat__number__of__Pls,axiom,
% 201.68/201.84 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_semiring__norm_I113_J,axiom,
% 201.68/201.84 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zero__is__num__zero,axiom,
% 201.68/201.84 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Suc__diff__number__of,axiom,
% 201.68/201.84 ! [V_m,V_v] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 201.68/201.84 => 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_not__neg__number__of__Pls,axiom,
% 201.68/201.84 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__iff__pred__less,axiom,
% 201.68/201.84 ! [V_l_2,V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_pred__def,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nat__number__of__diff__1,axiom,
% 201.68/201.84 ! [V_v] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_divide__Numeral0,axiom,
% 201.68/201.84 ! [V_x,T_a] :
% 201.68/201.84 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.84 & class_Int_Onumber__ring(T_a) )
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_eq__number__of__0,axiom,
% 201.68/201.84 ! [V_v_2] :
% 201.68/201.84 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_eq__0__number__of,axiom,
% 201.68/201.84 ! [V_v_2] :
% 201.68/201.84 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__nat__number__of,axiom,
% 201.68/201.84 ! [V_v_H_2,V_v_2] :
% 201.68/201.84 ( 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)))
% 201.68/201.84 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 201.68/201.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__nat__number__of,axiom,
% 201.68/201.84 ! [V_v_H_2,V_v_2] :
% 201.68/201.84 ( 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)))
% 201.68/201.84 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__special_I3_J,axiom,
% 201.68/201.84 ! [V_x_2,T_b] :
% 201.68/201.84 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.84 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__special_I1_J,axiom,
% 201.68/201.84 ! [V_y_2,T_b] :
% 201.68/201.84 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.84 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__special_I1_J,axiom,
% 201.68/201.84 ! [V_y_2,T_b] :
% 201.68/201.84 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.84 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__special_I3_J,axiom,
% 201.68/201.84 ! [V_x_2,T_b] :
% 201.68/201.84 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.84 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__0__number__of,axiom,
% 201.68/201.84 ! [V_v_2] :
% 201.68/201.84 ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__nat__number__of,axiom,
% 201.68/201.84 ! [V_v_H,V_v] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 201.68/201.84 => 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) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 201.68/201.84 => 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)) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nat__number__of__mult__left,axiom,
% 201.68/201.84 ! [V_k,V_v_H,V_v] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mult__nat__number__of,axiom,
% 201.68/201.84 ! [V_v_H,V_v] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Nats__number__of,axiom,
% 201.68/201.84 ! [V_w_2,T_b] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 201.68/201.84 => 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))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_decr__mult__lemma,axiom,
% 201.68/201.84 ! [V_k_2,V_Pa_2,V_d_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 201.68/201.84 => ( ! [B_x] :
% 201.68/201.84 ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.68/201.84 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.68/201.84 => ! [B_x] :
% 201.68/201.84 ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.68/201.84 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_incr__mult__lemma,axiom,
% 201.68/201.84 ! [V_k_2,V_Pa_2,V_d_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 201.68/201.84 => ( ! [B_x] :
% 201.68/201.84 ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.68/201.84 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.68/201.84 => ! [B_x] :
% 201.68/201.84 ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.68/201.84 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zero__less__imp__eq__int,axiom,
% 201.68/201.84 ! [V_k] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 201.68/201.84 => ? [B_n] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 201.68/201.84 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_decr__lemma,axiom,
% 201.68/201.84 ! [V_z,V_x,V_d] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_incr__lemma,axiom,
% 201.68/201.84 ! [V_x,V_z,V_d] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 201.68/201.84 => 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)))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 201.68/201.84 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( ! [B_x] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ca_2),V_A_2))) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__idempotent,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__le__D1,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__ge__self,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__zero,axiom,
% 201.68/201.84 ! [T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__eq__0,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.68/201.84 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.84 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__add__abs,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__mult__self,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__mult,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__minus__commute,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__one,axiom,
% 201.68/201.84 ! [T_a] :
% 201.68/201.84 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__of__nat,axiom,
% 201.68/201.84 ! [V_n,T_a] :
% 201.68/201.84 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__divide,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__int__eq,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__of__nonneg,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__le__zero__iff,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__ge__zero,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__of__pos,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zero__less__abs__iff,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__not__less__zero,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => ~ 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__triangle__ineq,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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)))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__mult__less,axiom,
% 201.68/201.84 ! [V_d,V_b,V_c,V_a,T_a] :
% 201.68/201.84 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 201.68/201.84 => 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))) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__triangle__ineq2__sym,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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)))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__triangle__ineq2,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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)))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__triangle__ineq3,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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)))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nonzero__abs__divide,axiom,
% 201.68/201.84 ! [V_a,V_b,T_a] :
% 201.68/201.84 ( class_Fields_Olinordered__field(T_a)
% 201.68/201.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__zmult__eq__1,axiom,
% 201.68/201.84 ! [V_n,V_m] :
% 201.68/201.84 ( 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)
% 201.68/201.84 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__mult__pos,axiom,
% 201.68/201.84 ! [V_y,V_x,T_a] :
% 201.68/201.84 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__eq__mult,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Rings_Oordered__ring__abs(T_a)
% 201.68/201.84 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 201.68/201.84 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__diff__triangle__ineq,axiom,
% 201.68/201.84 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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))))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__triangle__ineq4,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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)))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__div__pos,axiom,
% 201.68/201.84 ! [V_x,V_y,T_a] :
% 201.68/201.84 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zabs__less__one__iff,axiom,
% 201.68/201.84 ! [V_z_2] :
% 201.68/201.84 ( 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)))
% 201.68/201.84 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Nats__0,axiom,
% 201.68/201.84 ! [T_b] :
% 201.68/201.84 ( class_Rings_Osemiring__1(T_b)
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Nats__add,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Rings_Osemiring__1(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 201.68/201.84 => 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))) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Nats__mult,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Rings_Osemiring__1(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 201.68/201.84 => 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))) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Nats__1,axiom,
% 201.68/201.84 ! [T_b] :
% 201.68/201.84 ( class_Rings_Osemiring__1(T_b)
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_of__nat__in__Nats,axiom,
% 201.68/201.84 ! [V_n_2,T_b] :
% 201.68/201.84 ( class_Rings_Osemiring__1(T_b)
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_int__val__lemma,axiom,
% 201.68/201.84 ! [V_k_2,V_f_2,V_n_2] :
% 201.68/201.84 ( ! [B_i] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 201.68/201.84 => 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))) )
% 201.68/201.84 => ( 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))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 201.68/201.84 => ? [B_i] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 201.68/201.84 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nat0__intermed__int__val,axiom,
% 201.68/201.84 ! [V_k_2,V_f_2,V_n_2] :
% 201.68/201.84 ( ! [B_i] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 201.68/201.84 => 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))) )
% 201.68/201.84 => ( 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))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 201.68/201.84 => ? [B_i] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 201.68/201.84 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Min__eqI,axiom,
% 201.68/201.84 ! [V_x_2,V_A_2,T_b] :
% 201.68/201.84 ( class_Orderings_Olinorder(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.84 => ( ! [B_y] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.84 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nat__intermed__int__val,axiom,
% 201.68/201.84 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 201.68/201.84 ( ! [B_i] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 201.68/201.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 201.68/201.84 => 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))) )
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 201.68/201.84 => ? [B_i] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 201.68/201.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 201.68/201.84 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 201.68/201.84 ! [V_m,V_n] :
% 201.68/201.84 ( 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))
% 201.68/201.84 => 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)))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_split__zmod,axiom,
% 201.68/201.84 ! [V_k_2,V_n_2,V_Pa_2] :
% 201.68/201.84 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 201.68/201.84 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.84 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 201.68/201.84 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.68/201.84 => ! [B_i,B_j] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 201.68/201.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 201.68/201.84 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 201.68/201.84 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 201.68/201.84 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.84 => ! [B_i,B_j] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 201.68/201.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.84 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 201.68/201.84 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mod__trivial,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I51_J,axiom,
% 201.68/201.84 ! [V_l_2,V_k_2] :
% 201.68/201.84 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 201.68/201.84 <=> V_k_2 = V_l_2 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__0,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__by__0,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__self,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__add__self2,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__add__self1,axiom,
% 201.68/201.84 ! [V_a,V_b,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__add__right__eq,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__add__left__eq,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__add__eq,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__simps_I2_J,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__simps_I1_J,axiom,
% 201.68/201.84 ! [V_b,V_c,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__add__cong,axiom,
% 201.68/201.84 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 201.68/201.84 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 201.68/201.84 => 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) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__cong,axiom,
% 201.68/201.84 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 201.68/201.84 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 201.68/201.84 => 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) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__simps_I4_J,axiom,
% 201.68/201.84 ! [V_b,V_c,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__mult2,axiom,
% 201.68/201.84 ! [V_b,V_c,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__mult1,axiom,
% 201.68/201.84 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__eq,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__left__eq,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__right__eq,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__diff__right__eq,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Oring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__diff__left__eq,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Oring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__diff__eq,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Oring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__diff__cong,axiom,
% 201.68/201.84 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Oring__div(T_a)
% 201.68/201.84 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 201.68/201.84 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 201.68/201.84 => 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) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__zero,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__self,axiom,
% 201.68/201.84 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__eq__int__code_I16_J,axiom,
% 201.68/201.84 ! [V_k2_2,V_k1_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I34_J,axiom,
% 201.68/201.84 ! [V_l_2,V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I17_J,axiom,
% 201.68/201.84 ! [V_l_2,V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__int__code_I16_J,axiom,
% 201.68/201.84 ! [V_k2_2,V_k1_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I46_J,axiom,
% 201.68/201.84 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I39_J,axiom,
% 201.68/201.84 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__simps_I3_J,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__zmult1__eq,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zdiff__zmod__right,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zdiff__zmod__left,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__self2__is__0,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__self1__is__0,axiom,
% 201.68/201.84 ! [V_a,V_b,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__self1,axiom,
% 201.68/201.84 ! [V_b,V_c,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__self2,axiom,
% 201.68/201.84 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__by__1,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.84 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 201.68/201.84 ! [V_y,V_x] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.84 => 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))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__le__nonneg__dividend,axiom,
% 201.68/201.84 ! [V_k,V_m] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_pos__mod__bound,axiom,
% 201.68/201.84 ! [V_a,V_b] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__mod__bound,axiom,
% 201.68/201.84 ! [V_a,V_b] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.84 => 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_bin__less__0__simps_I4_J,axiom,
% 201.68/201.84 ! [V_w_2] :
% 201.68/201.84 ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__eq__0__iff,axiom,
% 201.68/201.84 ! [V_d_2,V_m_2] :
% 201.68/201.84 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.84 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I22_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I12_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Bit1__def,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__number__of__Bit1,axiom,
% 201.68/201.84 ! [V_w_2] :
% 201.68/201.84 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 201.68/201.84 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_succ__Pls,axiom,
% 201.68/201.84 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_number__of__Bit1,axiom,
% 201.68/201.84 ! [V_w,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mult__numeral__1,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mult__numeral__1__right,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__neg__neg__trivial,axiom,
% 201.68/201.84 ! [V_b,V_a] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 201.68/201.84 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__mod__conj,axiom,
% 201.68/201.84 ! [V_a,V_b] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.84 => ( 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)))
% 201.68/201.84 & 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))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__mod__sign,axiom,
% 201.68/201.84 ! [V_a,V_b] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.84 => 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__pos__pos__trivial,axiom,
% 201.68/201.84 ! [V_b,V_a] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.68/201.84 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_pos__mod__conj,axiom,
% 201.68/201.84 ! [V_a,V_b] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.68/201.84 => ( 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)))
% 201.68/201.84 & 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_pos__mod__sign,axiom,
% 201.68/201.84 ! [V_a,V_b] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.68/201.84 => 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_numeral__1__eq__1,axiom,
% 201.68/201.84 ! [T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_semiring__norm_I110_J,axiom,
% 201.68/201.84 ! [T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I5_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I29_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_divide__numeral__1,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( ( class_Fields_Ofield(T_a)
% 201.68/201.84 & class_Int_Onumber__ring(T_a) )
% 201.68/201.84 => 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 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_divide__Numeral1,axiom,
% 201.68/201.84 ! [V_x,T_a] :
% 201.68/201.84 ( ( class_Fields_Ofield(T_a)
% 201.68/201.84 & class_Int_Onumber__ring(T_a) )
% 201.68/201.84 => 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 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_one__is__num__one,axiom,
% 201.68/201.84 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Numeral1__eq1__nat,axiom,
% 201.68/201.84 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nat__numeral__1__eq__1,axiom,
% 201.68/201.84 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__pos__neg__trivial,axiom,
% 201.68/201.84 ! [V_b,V_a] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.84 => ( 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)))
% 201.68/201.84 => 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) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_numeral__1__eq__Suc__0,axiom,
% 201.68/201.84 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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_numeral__3__eq__3,axiom,
% 201.68/201.84 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)))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 201.68/201.84 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))))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Suc3__eq__add__3,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 201.68/201.84 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)))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__special_I4_J,axiom,
% 201.68/201.84 ! [V_x_2,T_b] :
% 201.68/201.84 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.84 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__special_I2_J,axiom,
% 201.68/201.84 ! [V_y_2,T_b] :
% 201.68/201.84 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.84 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__special_I2_J,axiom,
% 201.68/201.84 ! [V_y_2,T_b] :
% 201.68/201.84 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.84 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__special_I4_J,axiom,
% 201.68/201.84 ! [V_x_2,T_b] :
% 201.68/201.84 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.84 & class_Rings_Olinordered__idom(T_b) )
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__special_I3_J,axiom,
% 201.68/201.84 ! [V_v,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__special_I2_J,axiom,
% 201.68/201.84 ! [V_w,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_divmod__int__rel__mod__eq,axiom,
% 201.68/201.84 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 201.68/201.84 ( 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)
% 201.68/201.84 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 201.68/201.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 201.68/201.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 201.68/201.84 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.84 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmult2__lemma__aux2,axiom,
% 201.68/201.84 ! [V_q,V_r,V_b,V_c] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.84 => 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))) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmult2__lemma__aux1,axiom,
% 201.68/201.84 ! [V_q,V_r,V_b,V_c] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.84 => 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))) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmult2__lemma__aux4,axiom,
% 201.68/201.84 ! [V_q,V_b,V_r,V_c] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 201.68/201.84 => 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))) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmult2__lemma__aux3,axiom,
% 201.68/201.84 ! [V_q,V_b,V_r,V_c] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 201.68/201.84 => 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))) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__number__of__Bit1,axiom,
% 201.68/201.84 ! [V_v,V_w] :
% 201.68/201.84 ( ( 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)))
% 201.68/201.84 => 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)) )
% 201.68/201.84 & ( ~ 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)))
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__zmod__mult__2,axiom,
% 201.68/201.84 ! [V_b,V_a] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_pos__zmod__mult__2,axiom,
% 201.68/201.84 ! [V_b,V_a] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.84 => 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_one__code__numeral__code,axiom,
% 201.68/201.84 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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__minus1,axiom,
% 201.68/201.84 ! [V_b] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__special_I2_J,axiom,
% 201.68/201.84 ! [V_v,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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)))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_negative__zle,axiom,
% 201.68/201.84 ! [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))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_negative__zless,axiom,
% 201.68/201.84 ! [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))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mult__minus1,axiom,
% 201.68/201.84 ! [V_z,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mult__minus1__right,axiom,
% 201.68/201.84 ! [V_z,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__number__of__mult,axiom,
% 201.68/201.84 ! [V_z,V_w,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_pred__Min,axiom,
% 201.68/201.84 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I28_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I8_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mult__Min,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_double__compl,axiom,
% 201.68/201.84 ! [V_x,T_a] :
% 201.68/201.84 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.84 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_uminus__apply,axiom,
% 201.68/201.84 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.68/201.84 ( class_Groups_Ouminus(T_b)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_compl__eq__compl__iff,axiom,
% 201.68/201.84 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.84 ( class_Lattices_Oboolean__algebra(T_b)
% 201.68/201.84 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 201.68/201.84 <=> V_x_2 = V_y_2 ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__minus,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_equation__minus__iff,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_b)
% 201.68/201.84 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 201.68/201.84 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__equation__iff,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_b)
% 201.68/201.84 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 201.68/201.84 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__equal__iff__equal,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_b)
% 201.68/201.84 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 201.68/201.84 <=> V_a_2 = V_b_2 ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zminus__zminus,axiom,
% 201.68/201.84 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__Bit0,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I42_J,axiom,
% 201.68/201.84 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I45_J,axiom,
% 201.68/201.84 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I48_J,axiom,
% 201.68/201.84 ! [V_l_2,V_k_2] :
% 201.68/201.84 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 201.68/201.84 <=> V_k_2 = V_l_2 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Int_OMin__def,axiom,
% 201.68/201.84 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_code__numeral__zero__minus__one,axiom,
% 201.68/201.84 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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_number__of__minus,axiom,
% 201.68/201.84 ! [V_w,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_arith__simps_I30_J,axiom,
% 201.68/201.84 ! [V_w,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_arith__simps_I31_J,axiom,
% 201.68/201.84 ! [T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_number__of__Min,axiom,
% 201.68/201.84 ! [T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I11_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I25_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_divide__minus1,axiom,
% 201.68/201.84 ! [V_x,T_a] :
% 201.68/201.84 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.84 & class_Int_Onumber__ring(T_a) )
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__Min,axiom,
% 201.68/201.84 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__bin__simps_I5_J,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__bin__simps_I6_J,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__imp__neg__le,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.84 => 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))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__le__iff__le,axiom,
% 201.68/201.84 ! [V_a_2,V_b_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__le__iff,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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))
% 201.68/201.84 <=> 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__minus__iff,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> 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))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_compl__mono,axiom,
% 201.68/201.84 ! [V_y,V_x,T_a] :
% 201.68/201.84 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.68/201.84 => 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))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_compl__le__compl__iff,axiom,
% 201.68/201.84 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.84 ( class_Lattices_Oboolean__algebra(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__zero,axiom,
% 201.68/201.84 ! [T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__0__equal__iff__equal,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_b)
% 201.68/201.84 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 201.68/201.84 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_equal__neg__zero,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.84 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 201.68/201.84 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__equal__0__iff__equal,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_b)
% 201.68/201.84 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.84 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__equal__zero,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.84 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 201.68/201.84 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__less__iff__less,axiom,
% 201.68/201.84 ! [V_a_2,V_b_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__less__iff,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__minus__iff,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__add__distrib,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oab__group__add(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__add,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__minus__cancel,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => 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 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__add__cancel,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => 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 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_square__eq__iff,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Rings_Oidom(T_b)
% 201.68/201.84 => ( 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)
% 201.68/201.84 <=> ( V_a_2 = V_b_2
% 201.68/201.84 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__mult__minus,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Rings_Oring(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__mult__commute,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Rings_Oring(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__mult__left,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Rings_Oring(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__mult__right,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Rings_Oring(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__diff__eq,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oab__group__add(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__less,axiom,
% 201.68/201.84 ! [V_n,V_m] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.84 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__minus__eq,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Oring__div(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__minus__cong,axiom,
% 201.68/201.84 ! [V_a_H,V_b,V_a,T_a] :
% 201.68/201.84 ( class_Divides_Oring__div(T_a)
% 201.68/201.84 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 201.68/201.84 => 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) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__less__eq__dividend,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I31_J,axiom,
% 201.68/201.84 ! [V_l_2,V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__eq__int__code_I13_J,axiom,
% 201.68/201.84 ! [V_k2_2,V_k1_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__int__code_I13_J,axiom,
% 201.68/201.84 ! [V_k2_2,V_k1_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I14_J,axiom,
% 201.68/201.84 ! [V_l_2,V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zminus__0,axiom,
% 201.68/201.84 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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Bit0__Pls,axiom,
% 201.68/201.84 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I38_J,axiom,
% 201.68/201.84 ! [V_l_2] :
% 201.68/201.84 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 201.68/201.84 <=> c_Int_OPls = V_l_2 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I44_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 201.68/201.84 <=> V_k_2 = c_Int_OPls ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I49_J,axiom,
% 201.68/201.84 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I50_J,axiom,
% 201.68/201.84 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__distrib2,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__distrib,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Bit0__def,axiom,
% 201.68/201.84 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__Bit0__Bit0,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I24_J,axiom,
% 201.68/201.84 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I7_J,axiom,
% 201.68/201.84 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__divide__right,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__divide__divide,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__divide__left,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mult__Bit0,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__minus__cancel,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I40_J,axiom,
% 201.68/201.84 c_Int_OMin != c_Int_OPls ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I37_J,axiom,
% 201.68/201.84 c_Int_OPls != c_Int_OMin ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Bit1__Min,axiom,
% 201.68/201.84 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I43_J,axiom,
% 201.68/201.84 ! [V_l_2] :
% 201.68/201.84 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 201.68/201.84 <=> c_Int_OMin = V_l_2 ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I47_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 201.68/201.84 <=> V_k_2 = c_Int_OMin ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__Pls,axiom,
% 201.68/201.84 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zminus__zadd__distrib,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__numeral__code_I5_J,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__bin__simps_I7_J,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmult__zminus,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__zminus2,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__zminus__zminus,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zminus__zmod,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus1__divide,axiom,
% 201.68/201.84 ! [V_x,T_a] :
% 201.68/201.84 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.84 & class_Int_Onumber__ring(T_a) )
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod2__Suc__Suc,axiom,
% 201.68/201.84 ! [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)))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__le__self__iff,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__le__0__iff__le,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__minus__self__iff,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__0__le__iff__le,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__minus__self__iff,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__less__nonneg,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__less__0__iff__less,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__0__less__iff__less,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.68/201.84 => ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_right__minus,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_b)
% 201.68/201.84 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 201.68/201.84 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_left__minus,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_ab__left__minus,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oab__group__add(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__unique,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.84 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__0,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 201.68/201.84 ! [V_y,V_x,T_a] :
% 201.68/201.84 ( class_Rings_Ocomm__ring__1(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__def,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_ab__diff__minus,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oab__group__add(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__minus__eq__add,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Ogroup__add(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 201.68/201.84 ! [V_x,T_a] :
% 201.68/201.84 ( class_Rings_Ocomm__ring__1(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_square__eq__1__iff,axiom,
% 201.68/201.84 ! [V_x_2,T_b] :
% 201.68/201.84 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 201.68/201.84 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 201.68/201.84 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 201.68/201.84 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_compl__inf__bot,axiom,
% 201.68/201.84 ! [V_x,T_a] :
% 201.68/201.84 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_inf__compl__bot,axiom,
% 201.68/201.84 ! [V_x,T_a] :
% 201.68/201.84 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__eq,axiom,
% 201.68/201.84 ! [V_y,V_x,T_a] :
% 201.68/201.84 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__Suc,axiom,
% 201.68/201.84 ! [V_n,V_m] :
% 201.68/201.84 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 201.68/201.84 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.68/201.84 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__1,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__less__divisor,axiom,
% 201.68/201.84 ! [V_m,V_n] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_compl__sup,axiom,
% 201.68/201.84 ! [V_y,V_x,T_a] :
% 201.68/201.84 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_compl__inf,axiom,
% 201.68/201.84 ! [V_y,V_x,T_a] :
% 201.68/201.84 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nonzero__minus__divide__right,axiom,
% 201.68/201.84 ! [V_a,V_b,T_a] :
% 201.68/201.84 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.84 => 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)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_nonzero__minus__divide__divide,axiom,
% 201.68/201.84 ! [V_a,V_b,T_a] :
% 201.68/201.84 ( class_Rings_Odivision__ring(T_a)
% 201.68/201.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.84 => 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) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__ge__minus__self,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__le__iff,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.68/201.84 => ( 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))
% 201.68/201.84 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 201.68/201.84 & 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)) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__leI,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__le__D2,axiom,
% 201.68/201.84 ! [V_b,V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 201.68/201.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__less__iff,axiom,
% 201.68/201.84 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.84 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 201.68/201.84 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.68/201.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__eq__0__iff,axiom,
% 201.68/201.84 ! [V_d_2,V_m_2] :
% 201.68/201.84 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.84 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_bin__less__0__simps_I3_J,axiom,
% 201.68/201.84 ! [V_w_2] :
% 201.68/201.84 ( 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)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__geq,axiom,
% 201.68/201.84 ! [V_n,V_m] :
% 201.68/201.84 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__if,axiom,
% 201.68/201.84 ! [V_n,V_m] :
% 201.68/201.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.84 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 201.68/201.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.84 => 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) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod__mult__self3,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I27_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I21_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__eq__int__code_I14_J,axiom,
% 201.68/201.84 ! [V_k2_2,V_k1_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I32_J,axiom,
% 201.68/201.84 ! [V_l_2,V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_le__mod__geq,axiom,
% 201.68/201.84 ! [V_m,V_n] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.68/201.84 => 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I4_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I10_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I16_J,axiom,
% 201.68/201.84 ! [V_l_2,V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_less__int__code_I15_J,axiom,
% 201.68/201.84 ! [V_k2_2,V_k1_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__Bit1__Bit0,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__Bit0__Bit1,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_bin__less__0__simps_I2_J,axiom,
% 201.68/201.84 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zadd__zminus__inverse2,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_negative__eq__positive,axiom,
% 201.68/201.84 ! [V_m_2,V_n_2] :
% 201.68/201.84 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)
% 201.68/201.84 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.84 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I20_J,axiom,
% 201.68/201.84 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I23_J,axiom,
% 201.68/201.84 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I30_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I26_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I6_J,axiom,
% 201.68/201.84 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I3_J,axiom,
% 201.68/201.84 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I9_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_rel__simps_I13_J,axiom,
% 201.68/201.84 ! [V_k_2] :
% 201.68/201.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 201.68/201.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__bin__simps_I3_J,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__bin__simps_I9_J,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__bin__simps_I10_J,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__int,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_eq__number__of__Pls__Min,axiom,
% 201.68/201.84 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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_not__int__zless__negative,axiom,
% 201.68/201.84 ! [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)))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__zminus2__not__zero,axiom,
% 201.68/201.84 ! [V_l,V_k] :
% 201.68/201.84 ( 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)
% 201.68/201.84 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_zmod__zminus1__not__zero,axiom,
% 201.68/201.84 ! [V_l,V_k] :
% 201.68/201.84 ( 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)
% 201.68/201.84 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__int__def,axiom,
% 201.68/201.84 ! [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)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__int__def__symmetric,axiom,
% 201.68/201.84 ! [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) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_Ints__minus,axiom,
% 201.68/201.84 ! [V_a_2,T_b] :
% 201.68/201.84 ( class_Rings_Oring__1(T_b)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.84 => 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))) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__number__of__Bit0,axiom,
% 201.68/201.84 ! [V_w_2] :
% 201.68/201.84 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 201.68/201.84 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_pred__Bit0,axiom,
% 201.68/201.84 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_pred__Bit1,axiom,
% 201.68/201.84 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_neg__number__of__Min,axiom,
% 201.68/201.84 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_pred__Pls,axiom,
% 201.68/201.84 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 201.68/201.84
% 201.68/201.84 fof(fact_minus__Bit1,axiom,
% 201.68/201.84 ! [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))) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__Min__right,axiom,
% 201.68/201.84 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_add__Min,axiom,
% 201.68/201.84 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_succ__Bit1,axiom,
% 201.68/201.84 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_succ__Bit0,axiom,
% 201.68/201.84 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_succ__Min,axiom,
% 201.68/201.84 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 201.68/201.84
% 201.68/201.84 fof(fact_diff__bin__simps_I2_J,axiom,
% 201.68/201.84 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_mod2__gr__0,axiom,
% 201.68/201.84 ! [V_m_2] :
% 201.68/201.84 ( 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))))))
% 201.68/201.84 <=> 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) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_number__of__Bit0,axiom,
% 201.68/201.84 ! [V_w,T_a] :
% 201.68/201.84 ( class_Int_Onumber__ring(T_a)
% 201.68/201.84 => 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)) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__minus__le__zero,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => 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))) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__of__nonpos,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 201.68/201.84
% 201.68/201.84 fof(fact_abs__of__neg,axiom,
% 201.68/201.84 ! [V_a,T_a] :
% 201.68/201.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.68/201.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 201.68/201.84
% 201.68/201.85 fof(fact_abs__if,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Groups_Oabs__if(T_a)
% 201.68/201.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.85 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.85 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mod__le__divisor,axiom,
% 201.68/201.85 ! [V_m,V_n] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mod__mult__self4,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_less__eq__int__code_I15_J,axiom,
% 201.68/201.85 ! [V_k2_2,V_k1_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_rel__simps_I33_J,axiom,
% 201.68/201.85 ! [V_l_2,V_k_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_less__int__code_I14_J,axiom,
% 201.68/201.85 ! [V_k2_2,V_k1_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_rel__simps_I15_J,axiom,
% 201.68/201.85 ! [V_l_2,V_k_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_diff__number__of__eq,axiom,
% 201.68/201.85 ! [V_w,V_v,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mult__Bit1,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_abs__minus__one,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 & class_Rings_Olinordered__idom(T_a) )
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_int__zle__neg,axiom,
% 201.68/201.85 ! [V_m_2,V_n_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))
% 201.68/201.85 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_negative__zle__0,axiom,
% 201.68/201.85 ! [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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmod__minus1__right,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_diff__bin__simps_I4_J,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 201.68/201.85 ! [V_n,V_m] :
% 201.68/201.85 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.68/201.85 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.68/201.85 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmult__eq__1__iff,axiom,
% 201.68/201.85 ! [V_n_2,V_m_2] :
% 201.68/201.85 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.68/201.85 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.68/201.85 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 201.68/201.85 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 201.68/201.85 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_minus__numeral__code_I6_J,axiom,
% 201.68/201.85 ! [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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmod__zminus1__eq__if,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => 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) )
% 201.68/201.85 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmod__zminus2__eq__if,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => 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) )
% 201.68/201.85 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => 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) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zabs__def,axiom,
% 201.68/201.85 ! [V_i] :
% 201.68/201.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_neg__zminus__int,axiom,
% 201.68/201.85 ! [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))))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_diff__bin__simps_I8_J,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_add__Bit1__Bit1,axiom,
% 201.68/201.85 ! [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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__code__numeral__code,axiom,
% 201.68/201.85 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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_double__number__of__Bit0,axiom,
% 201.68/201.85 ! [V_w,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_abs__number__of,axiom,
% 201.68/201.85 ! [V_x,T_a] :
% 201.68/201.85 ( ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 & class_Rings_Olinordered__idom(T_a) )
% 201.68/201.85 => ( ( 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)))
% 201.68/201.85 => 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)) )
% 201.68/201.85 & ( ~ 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)))
% 201.68/201.85 => 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) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_split__mod,axiom,
% 201.68/201.85 ! [V_k_2,V_n_2,V_Pa_2] :
% 201.68/201.85 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 201.68/201.85 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 201.68/201.85 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => ! [B_i,B_j] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 201.68/201.85 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mod__lemma,axiom,
% 201.68/201.85 ! [V_q,V_b,V_r,V_c] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_add__number__of__diff2,axiom,
% 201.68/201.85 ! [V_w,V_c,V_v,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_number__of1,axiom,
% 201.68/201.85 ! [V_n] :
% 201.68/201.85 ( 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)))
% 201.68/201.85 => ( 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))))
% 201.68/201.85 & 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Suc__times__mod__eq,axiom,
% 201.68/201.85 ! [V_m,V_k] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_number__of__pred,axiom,
% 201.68/201.85 ! [V_w,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_not__zle__0__negative,axiom,
% 201.68/201.85 ! [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))))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_negative__zless__0,axiom,
% 201.68/201.85 ! [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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mult__2__right,axiom,
% 201.68/201.85 ! [V_z,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mult__2,axiom,
% 201.68/201.85 ! [V_z,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_one__add__one__is__two,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_numeral__2__eq__2,axiom,
% 201.68/201.85 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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_semiring__norm_I115_J,axiom,
% 201.68/201.85 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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 201.68/201.85 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))))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_add__2__eq__Suc,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_add__2__eq__Suc_H,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__mult__2__right,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__mult__2,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 201.68/201.85 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)))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__1__add__1,axiom,
% 201.68/201.85 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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmod__number__of__Bit0,axiom,
% 201.68/201.85 ! [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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_half__gt__zero,axiom,
% 201.68/201.85 ! [V_r,T_a] :
% 201.68/201.85 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.68/201.85 & class_Int_Onumber__ring(T_a) )
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 201.68/201.85 => 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)))))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_half__gt__zero__iff,axiom,
% 201.68/201.85 ! [V_r_2,T_b] :
% 201.68/201.85 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.68/201.85 & class_Int_Onumber__ring(T_b) )
% 201.68/201.85 => ( 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))))))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_less__2__cases,axiom,
% 201.68/201.85 ! [V_n] :
% 201.68/201.85 ( 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)))))
% 201.68/201.85 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_diff__special_I1_J,axiom,
% 201.68/201.85 ! [V_w,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_eq__special_I4_J,axiom,
% 201.68/201.85 ! [V_x_2,T_b] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_b)
% 201.68/201.85 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 201.68/201.85 <=> 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))))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_eq__special_I2_J,axiom,
% 201.68/201.85 ! [V_y_2,T_b] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_b)
% 201.68/201.85 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 201.68/201.85 <=> 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_z3mod__def,axiom,
% 201.68/201.85 ! [V_k,V_l] :
% 201.68/201.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.68/201.85 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_neg__zdiv__mult__2,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_pos__zdiv__mult__2,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__nat__double,axiom,
% 201.68/201.85 ! [V_x,T_a] :
% 201.68/201.85 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_ComplI,axiom,
% 201.68/201.85 ! [V_A_2,V_ca_2,T_b] :
% 201.68/201.85 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_ComplE,axiom,
% 201.68/201.85 ! [V_A_2,V_ca_2,T_b] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 201.68/201.85 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_ComplD,axiom,
% 201.68/201.85 ! [V_A_2,V_ca_2,T_b] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 201.68/201.85 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Compl__iff,axiom,
% 201.68/201.85 ! [V_A_2,V_ca_2,T_b] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 201.68/201.85 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zero,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Compl__anti__mono,axiom,
% 201.68/201.85 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Compl__subset__Compl__iff,axiom,
% 201.68/201.85 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.85 ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__int,axiom,
% 201.68/201.85 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zminus__zminus,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zminus2,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__0,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__by__0,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__by__1,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_iszero__0,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.85 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_iszero__def,axiom,
% 201.68/201.85 ! [V_z_2,T_b] :
% 201.68/201.85 ( class_Rings_Osemiring__1(T_b)
% 201.68/201.85 => ( c_Int_Oiszero(T_b,V_z_2)
% 201.68/201.85 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 201.68/201.85 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__0,axiom,
% 201.68/201.85 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 201.68/201.85 ! [V_y,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_not__iszero__1,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.85 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 201.68/201.85 ! [V_a_2,V_b_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 201.68/201.85 ! [V_a_2,V_b_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__neg__pos__less0,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 201.68/201.85 ! [V_y_2,V_x_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 201.68/201.85 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 201.68/201.85 <=> V_x_2 = V_y_2 ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_all__nat,axiom,
% 201.68/201.85 ! [V_Pa_2] :
% 201.68/201.85 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 201.68/201.85 <=> ! [B_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_ex__nat,axiom,
% 201.68/201.85 ! [V_Pa_2] :
% 201.68/201.85 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 201.68/201.85 <=> ? [B_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.68/201.85 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_eq__nat__nat__iff,axiom,
% 201.68/201.85 ! [V_z_H_2,V_z_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 201.68/201.85 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 201.68/201.85 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__self,axiom,
% 201.68/201.85 ! [V_a] :
% 201.68/201.85 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_subset__Compl__self__eq,axiom,
% 201.68/201.85 ! [V_A_2,T_b] :
% 201.68/201.85 ( 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)))
% 201.68/201.85 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Compl__disjoint,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Compl__disjoint2,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__number__of__Bit0,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmod__zdiv__trivial,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_DIVISION__BY__ZERO,axiom,
% 201.68/201.85 ! [V_a] :
% 201.68/201.85 ( 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)
% 201.68/201.85 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__number__of__def,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__number__of,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Compl__Un,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Compl__Int,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zadd1__eq,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Compl__Diff__eq,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Diff__Compl,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Diff__eq,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 201.68/201.85 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_neg__nat,axiom,
% 201.68/201.85 ! [V_z] :
% 201.68/201.85 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 201.68/201.85 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_not__neg__nat,axiom,
% 201.68/201.85 ! [V_z] :
% 201.68/201.85 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 201.68/201.85 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult__mult1__if,axiom,
% 201.68/201.85 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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) )
% 201.68/201.85 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult__self2__is__id,axiom,
% 201.68/201.85 ! [V_a,V_b,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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 ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult__self1__is__id,axiom,
% 201.68/201.85 ! [V_a,V_b,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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 ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult__mult2,axiom,
% 201.68/201.85 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult__mult1,axiom,
% 201.68/201.85 ! [V_b,V_a,V_c,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__self,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mod__div__trivial,axiom,
% 201.68/201.85 ! [V_b,V_a,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__le__0,axiom,
% 201.68/201.85 ! [V_z] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__0__iff,axiom,
% 201.68/201.85 ! [V_i_2] :
% 201.68/201.85 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__mono1__neg,axiom,
% 201.68/201.85 ! [V_b,V_a_H,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__mono1,axiom,
% 201.68/201.85 ! [V_b,V_a_H,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__neg__neg__trivial,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 201.68/201.85 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__mono2__neg,axiom,
% 201.68/201.85 ! [V_b,V_b_H,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 201.68/201.85 => 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))) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__nonpos__pos__le0,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 201.68/201.85 ! [V_a_2,V_b_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__pos__pos__trivial,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.68/201.85 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__nonneg__neg__le0,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__mono2,axiom,
% 201.68/201.85 ! [V_b,V_b_H,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 201.68/201.85 => 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))) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 201.68/201.85 ! [V_b_2,V_a_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 201.68/201.85 ! [V_i_2,V_k_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 201.68/201.85 ! [V_a_2,V_b_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__eq__0__iff,axiom,
% 201.68/201.85 ! [V_k_2,V_i_2] :
% 201.68/201.85 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 201.68/201.85 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zless__nat__conj,axiom,
% 201.68/201.85 ! [V_z_2,V_w_2] :
% 201.68/201.85 ( 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)))
% 201.68/201.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__mono__iff,axiom,
% 201.68/201.85 ! [V_w_2,V_z_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 201.68/201.85 ! [V_y_2,V_x_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__1,axiom,
% 201.68/201.85 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_int__div__less__self,axiom,
% 201.68/201.85 ! [V_k,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zmult2__eq,axiom,
% 201.68/201.85 ! [V_b,V_a,V_c] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__0__le,axiom,
% 201.68/201.85 ! [V_z] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.68/201.85 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_int__eq__iff,axiom,
% 201.68/201.85 ! [V_z_2,V_m_2] :
% 201.68/201.85 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 201.68/201.85 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_int__nat__eq,axiom,
% 201.68/201.85 ! [V_z] :
% 201.68/201.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.68/201.85 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.68/201.85 => 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) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zless__nat__eq__int__zless,axiom,
% 201.68/201.85 ! [V_z_2,V_m_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 201.68/201.85 <=> 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_disjoint__eq__subset__Compl,axiom,
% 201.68/201.85 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.85 ( 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))
% 201.68/201.85 <=> 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__mod__distrib,axiom,
% 201.68/201.85 ! [V_y,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 201.68/201.85 ! [V_y,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__zminus__int,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zmod__equality2,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zmod__equality,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zmult1__eq,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmod__zdiv__equality,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__minus1__right,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmod__zdiv__equality_H,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmult__div__cancel,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__abs__mult__distrib,axiom,
% 201.68/201.85 ! [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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult__self1,axiom,
% 201.68/201.85 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult__self2,axiom,
% 201.68/201.85 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__add__self2,axiom,
% 201.68/201.85 ! [V_a,V_b,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__add__self1,axiom,
% 201.68/201.85 ! [V_a,V_b,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mod__equality,axiom,
% 201.68/201.85 ! [V_c,V_b,V_a,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mod__equality2,axiom,
% 201.68/201.85 ! [V_c,V_a,V_b,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mod__div__equality,axiom,
% 201.68/201.85 ! [V_b,V_a,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => 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 ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mod__div__equality2,axiom,
% 201.68/201.85 ! [V_a,V_b,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => 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 ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 201.68/201.85 ! [V_b,V_a,T_a] :
% 201.68/201.85 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.85 => 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 ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_iszero__Numeral0,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_iszero__number__of__Bit1,axiom,
% 201.68/201.85 ! [V_w,T_a] :
% 201.68/201.85 ( ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 & class_Int_Oring__char__0(T_a) )
% 201.68/201.85 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_iszero__number__of__Bit0,axiom,
% 201.68/201.85 ! [V_w_2,T_b] :
% 201.68/201.85 ( ( class_Int_Onumber__ring(T_b)
% 201.68/201.85 & class_Int_Oring__char__0(T_b) )
% 201.68/201.85 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 201.68/201.85 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nonzero__number__of__Min,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__less__nat__eq,axiom,
% 201.68/201.85 ! [V_z_2] :
% 201.68/201.85 ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 201.68/201.85 ! [V_y_2,V_x_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__less__eq__zless,axiom,
% 201.68/201.85 ! [V_z_2,V_w_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__eq__iff2,axiom,
% 201.68/201.85 ! [V_w_2,V_m_2] :
% 201.68/201.85 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 201.68/201.85 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.68/201.85 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.68/201.85 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__eq__iff,axiom,
% 201.68/201.85 ! [V_m_2,V_w_2] :
% 201.68/201.85 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 201.68/201.85 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.68/201.85 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.68/201.85 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__le__eq__zle,axiom,
% 201.68/201.85 ! [V_z_2,V_w_2] :
% 201.68/201.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.68/201.85 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_split__nat,axiom,
% 201.68/201.85 ! [V_i_2,V_Pa_2] :
% 201.68/201.85 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 201.68/201.85 <=> ( ! [B_n] :
% 201.68/201.85 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 201.68/201.85 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 201.68/201.85 ! [V_y,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__add__distrib,axiom,
% 201.68/201.85 ! [V_z_H,V_z] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_int__eq__iff__number__of,axiom,
% 201.68/201.85 ! [V_v_2,V_m_2] :
% 201.68/201.85 ( 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)
% 201.68/201.85 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 201.68/201.85 & 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 201.68/201.85 ! [V_y,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__mult__distrib,axiom,
% 201.68/201.85 ! [V_z_H,V_z] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__eq__minus1,axiom,
% 201.68/201.85 ! [V_b] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__diff__distrib,axiom,
% 201.68/201.85 ! [V_z,V_z_H] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 201.68/201.85 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)))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 201.68/201.85 ! [V_y,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_one__less__nat__eq,axiom,
% 201.68/201.85 ! [V_z_2] :
% 201.68/201.85 ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_divmod__int__rel__div__eq,axiom,
% 201.68/201.85 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 201.68/201.85 ( 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)
% 201.68/201.85 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 201.68/201.85 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_split__zdiv,axiom,
% 201.68/201.85 ! [V_k_2,V_n_2,V_Pa_2] :
% 201.68/201.85 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 201.68/201.85 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.68/201.85 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.68/201.85 => ! [B_i] :
% 201.68/201.85 ( ? [B_j] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 201.68/201.85 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 201.68/201.85 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => ! [B_i] :
% 201.68/201.85 ( ? [B_j] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__less__iff,axiom,
% 201.68/201.85 ! [V_m_2,V_w_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 201.68/201.85 <=> 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 201.68/201.85 ! [V_z] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zmod__zmult2__eq,axiom,
% 201.68/201.85 ! [V_b,V_a,V_c] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 201.68/201.85 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)))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__mult__distrib__neg,axiom,
% 201.68/201.85 ! [V_z_H,V_z] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zminus2__eq__if,axiom,
% 201.68/201.85 ! [V_a,V_b] :
% 201.68/201.85 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => 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)) )
% 201.68/201.85 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => 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)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__zminus1__eq__if,axiom,
% 201.68/201.85 ! [V_a,V_b] :
% 201.68/201.85 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => 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)) )
% 201.68/201.85 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 => 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)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mod__nat__number__of,axiom,
% 201.68/201.85 ! [V_v_H,V_v] :
% 201.68/201.85 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.85 => 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) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.85 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.68/201.85 => 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) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.68/201.85 => 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))) ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_not__iszero__Numeral1,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_eq__number__of__eq,axiom,
% 201.68/201.85 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_b)
% 201.68/201.85 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 201.68/201.85 <=> 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__2,axiom,
% 201.68/201.85 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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__pos__neg__trivial,axiom,
% 201.68/201.85 ! [V_b,V_a] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 => 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) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_split__neg__lemma,axiom,
% 201.68/201.85 ! [V_n_2,V_Pa_2,V_k_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 201.68/201.85 <=> ! [B_i,B_j] :
% 201.68/201.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 201.68/201.85 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_split__pos__lemma,axiom,
% 201.68/201.85 ! [V_n_2,V_Pa_2,V_k_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 201.68/201.85 <=> ! [B_i,B_j] :
% 201.68/201.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 201.68/201.85 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 201.68/201.85 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__number__of__Bit1,axiom,
% 201.68/201.85 ! [V_v,V_w] :
% 201.68/201.85 ( ( 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)))
% 201.68/201.85 => 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)) )
% 201.68/201.85 & ( ~ 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)))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_one__mod__nat__number__of,axiom,
% 201.68/201.85 ! [V_v_H] :
% 201.68/201.85 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.68/201.85 => 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)) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_eq__special_I3_J,axiom,
% 201.68/201.85 ! [V_x_2,T_b] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_b)
% 201.68/201.85 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.85 <=> 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_eq__special_I1_J,axiom,
% 201.68/201.85 ! [V_y_2,T_b] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_b)
% 201.68/201.85 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 201.68/201.85 <=> 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_z3div__def,axiom,
% 201.68/201.85 ! [V_k,V_l] :
% 201.68/201.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.68/201.85 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__aux__def,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__of__aux__code,axiom,
% 201.68/201.85 ! [V_n,V_i] :
% 201.68/201.85 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.68/201.85 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 201.68/201.85 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_transfer__morphism__nat__int,axiom,
% 201.68/201.85 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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__m1__odd,axiom,
% 201.68/201.85 ! [V_n,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_double__complement,axiom,
% 201.68/201.85 ! [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 ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Compl__eq__Compl__iff,axiom,
% 201.68/201.85 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.85 ( 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)
% 201.68/201.85 <=> V_A_2 = V_B_2 ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 201.68/201.85 ! [V_q,V_y,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__le__mono,axiom,
% 201.68/201.85 ! [V_k,V_n,V_m] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__le__dividend,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_int__power,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zpower__int,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult2__eq,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 201.68/201.85 ! [V_q,V_p,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zpower__zpower,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 201.68/201.85 ! [V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zpower__zmod,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 201.68/201.85 ! [V_n,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__power__eq,axiom,
% 201.68/201.85 ! [V_n,V_z] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__1,axiom,
% 201.68/201.85 ! [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 ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__less,axiom,
% 201.68/201.85 ! [V_n,V_m] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.85 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__mult__div__cancel__disj,axiom,
% 201.68/201.85 ! [V_n,V_m,V_k] :
% 201.68/201.85 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => 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) )
% 201.68/201.85 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => 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) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 201.68/201.85 ! [V_q,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 201.68/201.85 ! [V_q,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 201.68/201.85 ! [V_q,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 201.68/201.85 ! [V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 201.68/201.85 ! [V_q,V_p,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 201.68/201.85 ! [V_n,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__add1__eq,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zdiv__int,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zpower__zadd__distrib,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Ints__power,axiom,
% 201.68/201.85 ! [V_n_2,V_a_2,T_b] :
% 201.68/201.85 ( class_Rings_Oring__1(T_b)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__nat__number__of__number__of,axiom,
% 201.68/201.85 ! [V_w,V_v] :
% 201.68/201.85 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.85 => 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)) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__nat__number__of,axiom,
% 201.68/201.85 ! [V_n,V_v] :
% 201.68/201.85 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.85 => 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) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__le__mono2,axiom,
% 201.68/201.85 ! [V_k,V_n,V_m] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult__self1__is__m,axiom,
% 201.68/201.85 ! [V_m,V_n] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => 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 ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult__self__is__m,axiom,
% 201.68/201.85 ! [V_m,V_n] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => 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 ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__mult__div__cancel1,axiom,
% 201.68/201.85 ! [V_n,V_m,V_k] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__less__dividend,axiom,
% 201.68/201.85 ! [V_m,V_n] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mod__mult2__eq,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mult1__eq,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__mod__equality_H,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_mult__div__cancel,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Divides_Omod__div__equality_H,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__le__zpower__abs,axiom,
% 201.68/201.85 ! [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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__geq,axiom,
% 201.68/201.85 ! [V_m,V_n] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__if,axiom,
% 201.68/201.85 ! [V_m,V_n] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.85 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.68/201.85 => 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)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_split__div,axiom,
% 201.68/201.85 ! [V_k_2,V_n_2,V_Pa_2] :
% 201.68/201.85 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 201.68/201.85 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 201.68/201.85 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => ! [B_i,B_j] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 201.68/201.85 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 201.68/201.85 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 201.68/201.85 ! [V_y,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__div__distrib,axiom,
% 201.68/201.85 ! [V_y,V_x] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power3__eq__cube,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_abs__power__minus__one,axiom,
% 201.68/201.85 ! [V_n,T_a] :
% 201.68/201.85 ( ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 & class_Rings_Olinordered__idom(T_a) )
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__eq__if,axiom,
% 201.68/201.85 ! [V_p,V_m] :
% 201.68/201.85 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 201.68/201.85 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__less__zpower__abs__iff,axiom,
% 201.68/201.85 ! [V_n_2,V_x_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_n_2)))
% 201.68/201.85 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.85 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_le__div__geq,axiom,
% 201.68/201.85 ! [V_m,V_n] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_split__div__lemma,axiom,
% 201.68/201.85 ! [V_m_2,V_q_2,V_n_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 201.68/201.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_q_2)),V_m_2))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 201.68/201.85 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_split__div_H,axiom,
% 201.68/201.85 ! [V_n_2,V_m_2,V_Pa_2] :
% 201.68/201.85 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 201.68/201.85 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 201.68/201.85 | ? [B_q] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q)),V_m_2))
% 201.68/201.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,B_q))))
% 201.68/201.85 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__Suc__eq__div__add3,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Suc__div__eq__add3__div,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div2__Suc__Suc,axiom,
% 201.68/201.85 ! [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))))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_add__self__div__2,axiom,
% 201.68/201.85 ! [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 ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__power2,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__eq__power2,axiom,
% 201.68/201.85 ! [V_a_2,T_b] :
% 201.68/201.85 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 201.68/201.85 => ( 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)
% 201.68/201.85 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 201.68/201.85 ! [V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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)))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__eq__square,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_one__power2,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__minus,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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)))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__even__eq,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => 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)))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_abs__power2,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => 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)))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__abs,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => 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)))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__eq__imp__eq,axiom,
% 201.68/201.85 ! [V_y,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( 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))))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.85 => V_x = V_y ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__le__imp__le,axiom,
% 201.68/201.85 ! [V_y,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( 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))))))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__le__power2,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => 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)))))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__less__0,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => ~ 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__less__power2,axiom,
% 201.68/201.85 ! [V_a_2,T_b] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.85 => ( 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))))))
% 201.68/201.85 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_sum__power2__eq__zero__iff,axiom,
% 201.68/201.85 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.85 => ( 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)
% 201.68/201.85 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.85 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__eq__square__number__of,axiom,
% 201.68/201.85 ! [V_w,T_b] :
% 201.68/201.85 ( ( class_Groups_Omonoid__mult(T_b)
% 201.68/201.85 & class_Int_Onumber(T_b) )
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__eq__1__iff,axiom,
% 201.68/201.85 ! [V_a_2,T_b] :
% 201.68/201.85 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 201.68/201.85 => ( 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)
% 201.68/201.85 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 201.68/201.85 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__nat__number__of,axiom,
% 201.68/201.85 ! [V_v_H,V_v] :
% 201.68/201.85 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.85 => 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) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 201.68/201.85 ! [V_n,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__minus__even,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_div__2__gt__zero,axiom,
% 201.68/201.85 ! [V_n] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 201.68/201.85 => 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)))))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__less__imp__less,axiom,
% 201.68/201.85 ! [V_y,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( 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))))))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_one__div__nat__number__of,axiom,
% 201.68/201.85 ! [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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_sum__power2__ge__zero,axiom,
% 201.68/201.85 ! [V_y,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => 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))))))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_sum__power2__le__zero__iff,axiom,
% 201.68/201.85 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.85 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_sum__power2__gt__zero__iff,axiom,
% 201.68/201.85 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.85 => ( 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)))))))
% 201.68/201.85 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.85 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_not__sum__power2__lt__zero,axiom,
% 201.68/201.85 ! [V_y,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => ~ 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__sum,axiom,
% 201.68/201.85 ! [V_y,V_x,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__le__even__power_H,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => 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)))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 201.68/201.85 ! [V_n,V_x,T_a] :
% 201.68/201.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__odd__eq,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => 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))))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__minus1__even,axiom,
% 201.68/201.85 ! [V_n,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_int__power__div__base,axiom,
% 201.68/201.85 ! [V_k,V_m] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 201.68/201.85 => 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 201.68/201.85 ! [V_n] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => 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)))))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power2__diff,axiom,
% 201.68/201.85 ! [V_y,V_x,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => ( 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)))))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_odd__power__less__zero,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__minus1__odd,axiom,
% 201.68/201.85 ! [V_n,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__m1__even,axiom,
% 201.68/201.85 ! [V_n,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_int__of__code,axiom,
% 201.68/201.85 ! [V_k] :
% 201.68/201.85 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.68/201.85 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.68/201.85 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.68/201.85 => ( ( 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)
% 201.68/201.85 => 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)))))) )
% 201.68/201.85 & ( 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)
% 201.68/201.85 => 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)) ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__strict__mono,axiom,
% 201.68/201.85 ! [V_n,V_b,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => 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))) ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__diff,axiom,
% 201.68/201.85 ! [V_m,V_n,V_a,T_a] :
% 201.68/201.85 ( class_Fields_Ofield(T_a)
% 201.68/201.85 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.68/201.85 => 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)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_one__less__power,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => 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))) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__le__imp__le__exp,axiom,
% 201.68/201.85 ! [V_n,V_m,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_field__power__not__zero,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 201.68/201.85 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__Suc__0,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 201.68/201.85 ! [V_m_2,V_x_2] :
% 201.68/201.85 ( 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))
% 201.68/201.85 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__zero__less__power__iff,axiom,
% 201.68/201.85 ! [V_n_2,V_x_2] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2)))
% 201.68/201.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 201.68/201.85 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__power__less__imp__less,axiom,
% 201.68/201.85 ! [V_n,V_m,V_i] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__mult__distrib,axiom,
% 201.68/201.85 ! [V_n,V_b,V_a,T_a] :
% 201.68/201.85 ( class_Groups_Ocomm__monoid__mult(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__commutes,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__one,axiom,
% 201.68/201.85 ! [V_n,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__nat__power,axiom,
% 201.68/201.85 ! [V_n,V_m,T_a] :
% 201.68/201.85 ( class_Rings_Osemiring__1(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__mult,axiom,
% 201.68/201.85 ! [V_n,V_m,V_a,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__divide,axiom,
% 201.68/201.85 ! [V_n,V_b,V_a,T_a] :
% 201.68/201.85 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__abs,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__one__right,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__le__power,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__mono,axiom,
% 201.68/201.85 ! [V_n,V_b,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => 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))) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__less__power,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__eq__0__iff,axiom,
% 201.68/201.85 ! [V_n_2,V_a_2,T_b] :
% 201.68/201.85 ( ( class_Power_Opower(T_b)
% 201.68/201.85 & class_Rings_Omult__zero(T_b)
% 201.68/201.85 & class_Rings_Ono__zero__divisors(T_b)
% 201.68/201.85 & class_Rings_Ozero__neq__one(T_b) )
% 201.68/201.85 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.85 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.85 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_one__le__power,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.68/201.85 => 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))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__0__Suc,axiom,
% 201.68/201.85 ! [V_n,T_a] :
% 201.68/201.85 ( ( class_Power_Opower(T_a)
% 201.68/201.85 & class_Rings_Osemiring__0(T_a) )
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__inject__exp,axiom,
% 201.68/201.85 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_b)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 201.68/201.85 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)
% 201.68/201.85 <=> V_m_2 = V_n_2 ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__Suc,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Power_Opower(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__Suc2,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nat__one__le__power,axiom,
% 201.68/201.85 ! [V_n,V_i] :
% 201.68/201.85 ( 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))
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__0,axiom,
% 201.68/201.85 ! [V_a,T_a] :
% 201.68/201.85 ( class_Power_Opower(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__add,axiom,
% 201.68/201.85 ! [V_n,V_m,V_a,T_a] :
% 201.68/201.85 ( class_Groups_Omonoid__mult(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_nonzero__power__divide,axiom,
% 201.68/201.85 ! [V_n,V_a,V_b,T_a] :
% 201.68/201.85 ( class_Fields_Ofield(T_a)
% 201.68/201.85 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.85 => 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)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__one__over,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_abs__power__minus,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__less__imp__less__base,axiom,
% 201.68/201.85 ! [V_b,V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( 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)))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__le__imp__le__base,axiom,
% 201.68/201.85 ! [V_b,V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( 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))))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__inject__base,axiom,
% 201.68/201.85 ! [V_b,V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( 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))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.85 => V_a = V_b ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__gt1__lemma,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.68/201.85 => 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__less__power__Suc,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.68/201.85 => 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__0__left,axiom,
% 201.68/201.85 ! [V_n,T_a] :
% 201.68/201.85 ( ( class_Power_Opower(T_a)
% 201.68/201.85 & class_Rings_Osemiring__0(T_a) )
% 201.68/201.85 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => 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) )
% 201.68/201.85 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.85 => 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) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__gt1,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.68/201.85 => 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)))) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__strict__increasing__iff,axiom,
% 201.68/201.85 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_b)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__less__imp__less__exp,axiom,
% 201.68/201.85 ! [V_n,V_m,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__strict__increasing,axiom,
% 201.68/201.85 ! [V_a,V_N,V_n,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.68/201.85 => 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))) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_zero__le__power__abs,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.85 => 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))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__increasing,axiom,
% 201.68/201.85 ! [V_a,V_N,V_n,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.68/201.85 => 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))) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__minus,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__Suc__less,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 201.68/201.85 => 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))) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__eq__imp__eq__base,axiom,
% 201.68/201.85 ! [V_b,V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( 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)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.68/201.85 => V_a = V_b ) ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__Suc__less__one,axiom,
% 201.68/201.85 ! [V_n,V_a,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 201.68/201.85 => 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))) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__strict__decreasing,axiom,
% 201.68/201.85 ! [V_a,V_N,V_n,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 201.68/201.85 => 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))) ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__decreasing,axiom,
% 201.68/201.85 ! [V_a,V_N,V_n,T_a] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_a)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 201.68/201.85 => 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))) ) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__increasing__iff,axiom,
% 201.68/201.85 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 201.68/201.85 ( class_Rings_Olinordered__semidom(T_b)
% 201.68/201.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_card__Pow,axiom,
% 201.68/201.85 ! [V_A_2,T_b] :
% 201.68/201.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_power__power__power,axiom,
% 201.68/201.85 ! [T_b] :
% 201.68/201.85 ( class_Power_Opower(T_b)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_code__numeral_Osize_I1_J,axiom,
% 201.68/201.85 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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__of__nat,axiom,
% 201.68/201.85 ! [V_k,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => 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)))) )
% 201.68/201.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.85 => 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)) ) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 201.68/201.85 ! [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)))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_PowI,axiom,
% 201.68/201.85 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.85 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__eq__iff,axiom,
% 201.68/201.85 ! [V_z_2,V_w_2,T_b] :
% 201.68/201.85 ( class_Int_Oring__char__0(T_b)
% 201.68/201.85 => ( 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)
% 201.68/201.85 <=> V_w_2 = V_z_2 ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_number__of__eq,axiom,
% 201.68/201.85 ! [V_k,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_int__number__of__def,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__int__eq,axiom,
% 201.68/201.85 ! [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) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Pow__top,axiom,
% 201.68/201.85 ! [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))) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Union__Pow__eq,axiom,
% 201.68/201.85 ! [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 ).
% 201.68/201.85
% 201.68/201.85 fof(fact_Pow__not__empty,axiom,
% 201.68/201.85 ! [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)) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__0,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__0__eq__iff,axiom,
% 201.68/201.85 ! [V_z_2,T_b] :
% 201.68/201.85 ( class_Int_Oring__char__0(T_b)
% 201.68/201.85 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 201.68/201.85 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__eq__0__iff,axiom,
% 201.68/201.85 ! [V_z_2,T_b] :
% 201.68/201.85 ( class_Int_Oring__char__0(T_b)
% 201.68/201.85 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.85 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__le__iff,axiom,
% 201.68/201.85 ! [V_z_2,V_w_2,T_b] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__less__iff,axiom,
% 201.68/201.85 ! [V_z_2,V_w_2,T_b] :
% 201.68/201.85 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.85 => ( 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)))
% 201.68/201.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__add,axiom,
% 201.68/201.85 ! [V_z,V_w,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__number__of__eq,axiom,
% 201.68/201.85 ! [V_v,T_a] :
% 201.68/201.85 ( class_Int_Onumber__ring(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__mult,axiom,
% 201.68/201.85 ! [V_z,V_w,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__1,axiom,
% 201.68/201.85 ! [T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__diff,axiom,
% 201.68/201.85 ! [V_z,V_w,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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)) ) ).
% 201.68/201.85
% 201.68/201.85 fof(fact_of__int__of__nat__eq,axiom,
% 201.68/201.85 ! [V_n,T_a] :
% 201.68/201.85 ( class_Rings_Oring__1(T_a)
% 201.68/201.85 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__int__minus,axiom,
% 201.68/201.86 ! [V_z,T_a] :
% 201.68/201.86 ( class_Rings_Oring__1(T_a)
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Pow__bottom,axiom,
% 201.68/201.86 ! [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))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Pow__iff,axiom,
% 201.68/201.86 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_PowD,axiom,
% 201.68/201.86 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 201.68/201.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Ints__of__int,axiom,
% 201.68/201.86 ! [V_z_2,T_b] :
% 201.68/201.86 ( class_Rings_Oring__1(T_b)
% 201.68/201.86 => 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))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__int__power,axiom,
% 201.68/201.86 ! [V_n,V_z,T_a] :
% 201.68/201.86 ( class_Rings_Oring__1(T_a)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Pow__mono,axiom,
% 201.68/201.86 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.68/201.86 => 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))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__Pow__iff,axiom,
% 201.68/201.86 ! [V_A_2,T_b] :
% 201.68/201.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 201.68/201.86 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_subset__Pow__Union,axiom,
% 201.68/201.86 ! [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)))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_power_Opower_Opower__0,axiom,
% 201.68/201.86 ! [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 ).
% 201.68/201.86
% 201.68/201.86 fof(fact_power_Opower_Opower__Suc,axiom,
% 201.68/201.86 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Pow__Int__eq,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__int__m1,axiom,
% 201.68/201.86 ! [T_a] :
% 201.68/201.86 ( class_Int_Onumber__ring(T_a)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Pow__empty,axiom,
% 201.68/201.86 ! [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))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__int__le__0__iff,axiom,
% 201.68/201.86 ! [V_z_2,T_b] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.86 => ( 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)))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__int__0__le__iff,axiom,
% 201.68/201.86 ! [V_z_2,T_b] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.86 => ( 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)))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__int__0__less__iff,axiom,
% 201.68/201.86 ! [V_z_2,T_b] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.86 => ( 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)))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__int__less__0__iff,axiom,
% 201.68/201.86 ! [V_z_2,T_b] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.86 => ( 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)))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__nat__nat,axiom,
% 201.68/201.86 ! [V_z,T_a] :
% 201.68/201.86 ( class_Rings_Oring__1(T_a)
% 201.68/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.68/201.86 => 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) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Un__Pow__subset,axiom,
% 201.68/201.86 ! [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)))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_code__numeral_Osize_I2_J,axiom,
% 201.68/201.86 ! [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))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_negD,axiom,
% 201.68/201.86 ! [V_x] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.68/201.86 => ? [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))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_code__numeral_Osize_I3_J,axiom,
% 201.68/201.86 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) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__neg,axiom,
% 201.68/201.86 ! [V_a,T_a] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.68/201.86 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_code__numeral_Oinject,axiom,
% 201.68/201.86 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 201.68/201.86 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 201.68/201.86 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__sgn,axiom,
% 201.68/201.86 ! [V_a,T_a] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__0__0,axiom,
% 201.68/201.86 ! [V_a_2,T_b] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.86 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.68/201.86 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn0,axiom,
% 201.68/201.86 ! [T_a] :
% 201.68/201.86 ( class_Groups_Osgn__if(T_a)
% 201.68/201.86 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__times,axiom,
% 201.68/201.86 ! [V_b,V_a,T_a] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 201.68/201.86 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 201.68/201.86 ! [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) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__less,axiom,
% 201.68/201.86 ! [V_a_2,T_b] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.86 => ( 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)))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__greater,axiom,
% 201.68/201.86 ! [V_a_2,T_b] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.86 => ( 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)))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_code__numeral_Osize_I4_J,axiom,
% 201.68/201.86 ! [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))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_mult__sgn__abs,axiom,
% 201.68/201.86 ! [V_x,T_a] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.86 => 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 ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_abs__sgn,axiom,
% 201.68/201.86 ! [V_k,T_a] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Suc__code__numeral__minus__one,axiom,
% 201.68/201.86 ! [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 ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__1__pos,axiom,
% 201.68/201.86 ! [V_a_2,T_b] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.86 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__pos,axiom,
% 201.68/201.86 ! [V_a,T_a] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_a)
% 201.68/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.68/201.86 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_nat__gcd_Osimps,axiom,
% 201.68/201.86 ! [V_x,V_y] :
% 201.68/201.86 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.86 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 201.68/201.86 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.68/201.86 => 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)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_zsgn__def,axiom,
% 201.68/201.86 ! [V_i] :
% 201.68/201.86 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.86 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.68/201.86 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.68/201.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 201.68/201.86 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 201.68/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 201.68/201.86 => 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)) ) ) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__if,axiom,
% 201.68/201.86 ! [V_x,T_a] :
% 201.68/201.86 ( class_Groups_Osgn__if(T_a)
% 201.68/201.86 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.86 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 201.68/201.86 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 201.68/201.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.86 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 201.68/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.68/201.86 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sgn__1__neg,axiom,
% 201.68/201.86 ! [V_a_2,T_b] :
% 201.68/201.86 ( class_Rings_Olinordered__idom(T_b)
% 201.68/201.86 => ( 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))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 201.68/201.86 ! [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)))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 201.68/201.86 ! [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) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_compl__unique,axiom,
% 201.68/201.86 ! [V_y,V_x,T_a] :
% 201.68/201.86 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.86 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 201.68/201.86 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 201.68/201.86 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 201.68/201.86 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 201.68/201.86 ! [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 ).
% 201.68/201.86
% 201.68/201.86 fof(fact_UNIV__I,axiom,
% 201.68/201.86 ! [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)))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__fun__UNIVD2,axiom,
% 201.68/201.86 ! [T_c,T_b] :
% 201.68/201.86 ( 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))))
% 201.68/201.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_UNIV__not__empty,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__UNIV,axiom,
% 201.68/201.86 ! [T_b] :
% 201.68/201.86 ( class_Finite__Set_Ofinite(T_b)
% 201.68/201.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_subset__UNIV,axiom,
% 201.68/201.86 ! [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)))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_top__apply,axiom,
% 201.68/201.86 ! [V_x_2,T_c,T_b] :
% 201.68/201.86 ( class_Orderings_Otop(T_b)
% 201.68/201.86 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Union__UNIV,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Sup__UNIV,axiom,
% 201.68/201.86 ! [T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__option__UNIV,axiom,
% 201.68/201.86 ! [T_b] :
% 201.68/201.86 ( 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))))
% 201.68/201.86 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__Prod__UNIV,axiom,
% 201.68/201.86 ! [T_c,T_b] :
% 201.68/201.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.68/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 201.68/201.86 => 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)))) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_UNIV__Plus__UNIV,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Int__UNIV__right,axiom,
% 201.68/201.86 ! [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 ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Int__UNIV__left,axiom,
% 201.68/201.86 ! [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 ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Un__UNIV__right,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Un__UNIV__left,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Pow__UNIV,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_card__UNIV__unit,axiom,
% 201.68/201.86 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) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__Plus__UNIV__iff,axiom,
% 201.68/201.86 ! [T_c,T_b] :
% 201.68/201.86 ( 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))))
% 201.68/201.86 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.68/201.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 201.68/201.86 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 201.68/201.86 ! [V_y,V_x] :
% 201.68/201.86 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.68/201.86 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.68/201.86 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 201.68/201.86 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 201.68/201.86 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 201.68/201.86 ! [V_y,V_x] :
% 201.68/201.86 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.68/201.86 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.68/201.86 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 201.68/201.86 ! [V_y,V_x] :
% 201.68/201.86 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.68/201.86 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.68/201.86 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 201.68/201.86 ! [V_y,V_x] :
% 201.68/201.86 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.68/201.86 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.68/201.86 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_top__greatest,axiom,
% 201.68/201.86 ! [V_x,T_a] :
% 201.68/201.86 ( class_Orderings_Otop(T_a)
% 201.68/201.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sup__top__right,axiom,
% 201.68/201.86 ! [V_x,T_a] :
% 201.68/201.86 ( class_Lattices_Obounded__lattice__top(T_a)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sup__top__left,axiom,
% 201.68/201.86 ! [V_x,T_a] :
% 201.68/201.86 ( class_Lattices_Obounded__lattice__top(T_a)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_inf__top__left,axiom,
% 201.68/201.86 ! [V_x,T_a] :
% 201.68/201.86 ( class_Lattices_Obounded__lattice__top(T_a)
% 201.68/201.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_inf__top__right,axiom,
% 201.68/201.86 ! [V_x,T_a] :
% 201.68/201.86 ( class_Lattices_Obounded__lattice__top(T_a)
% 201.68/201.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_inf__eq__top__iff,axiom,
% 201.68/201.86 ! [V_y_2,V_x_2,T_b] :
% 201.68/201.86 ( class_Lattices_Obounded__lattice__top(T_b)
% 201.68/201.86 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 201.68/201.86 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 201.68/201.86 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 201.68/201.86 ! [V_n,V_x] :
% 201.68/201.86 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.68/201.86 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Diff__UNIV,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 201.68/201.86 ! [V_y,V_x] :
% 201.68/201.86 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.68/201.86 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.68/201.86 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 201.68/201.86 ! [V_A_2,T_b] :
% 201.68/201.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.68/201.86 => ( 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)))
% 201.68/201.86 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Compl__empty__eq,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Compl__UNIV__eq,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__compl,axiom,
% 201.68/201.86 ! [V_A_2,T_b] :
% 201.68/201.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 201.68/201.86 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Compl__partition2,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Compl__partition,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 201.68/201.86 ! [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) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_is__nat__def,axiom,
% 201.68/201.86 ! [V_x_2] :
% 201.68/201.86 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_compl__bot__eq,axiom,
% 201.68/201.86 ! [T_a] :
% 201.68/201.86 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.86 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_compl__top__eq,axiom,
% 201.68/201.86 ! [T_a] :
% 201.68/201.86 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.86 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sup__compl__top,axiom,
% 201.68/201.86 ! [V_x,T_a] :
% 201.68/201.86 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_compl__sup__top,axiom,
% 201.68/201.86 ! [V_x,T_a] :
% 201.68/201.86 ( class_Lattices_Oboolean__algebra(T_a)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 201.68/201.86 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__UNIV__card__ge__0,axiom,
% 201.68/201.86 ! [T_b] :
% 201.68/201.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.68/201.86 => 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))))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_card__UNIV__bool,axiom,
% 201.68/201.86 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))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__fun__UNIVD1,axiom,
% 201.68/201.86 ! [T_c,T_b] :
% 201.68/201.86 ( 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))))
% 201.68/201.86 => ( 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))
% 201.68/201.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inf__fold__inf,axiom,
% 201.68/201.86 ! [V_A_2,T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.86 => 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) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_nat__mod__eq__lemma,axiom,
% 201.68/201.86 ! [V_y,V_n,V_x] :
% 201.68/201.86 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 201.68/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 201.68/201.86 => ? [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)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_mod__induct__0,axiom,
% 201.68/201.86 ! [V_i_2,V_Pa_2,V_p_2] :
% 201.68/201.86 ( ! [B_i] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 201.68/201.86 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 201.68/201.86 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 201.68/201.86 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 201.68/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 201.68/201.86 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_log_Osimps,axiom,
% 201.68/201.86 ! [V_i,V_b] :
% 201.68/201.86 ( ( ( 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)))
% 201.68/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 201.68/201.86 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 201.68/201.86 & ( ~ ( 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)))
% 201.68/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 201.68/201.86 => 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))) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_finite__Inter,axiom,
% 201.68/201.86 ! [V_M_2,T_b] :
% 201.68/201.86 ( ? [B_x] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 201.68/201.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 201.68/201.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_top1I,axiom,
% 201.68/201.86 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_InterD,axiom,
% 201.68/201.86 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 201.68/201.86 ( 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)))
% 201.68/201.86 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 201.68/201.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_InterE,axiom,
% 201.68/201.86 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 201.68/201.86 ( 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)))
% 201.68/201.86 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 201.68/201.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inter__UNIV,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inter__empty,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_le__Inf__iff,axiom,
% 201.68/201.86 ! [V_A_2,V_b_2,T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => ( 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)))
% 201.68/201.86 <=> ! [B_x] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.68/201.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inf__less__iff,axiom,
% 201.68/201.86 ! [V_a_2,V_S_2,T_b] :
% 201.68/201.86 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 & class_Orderings_Olinorder(T_b) )
% 201.68/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 201.68/201.86 <=> ? [B_x] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.68/201.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inf__UNIV,axiom,
% 201.68/201.86 ! [T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inter__lower,axiom,
% 201.68/201.86 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inter__anti__mono,axiom,
% 201.68/201.86 ! [V_A_2,V_B_2,T_b] :
% 201.68/201.86 ( 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))
% 201.68/201.86 => 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))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inter__insert,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inf__lower,axiom,
% 201.68/201.86 ! [V_A_2,V_x_2,T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.68/201.86 => 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)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inter__Un__distrib,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inf__singleton,axiom,
% 201.68/201.86 ! [V_a_2,T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => 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 ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inf__empty,axiom,
% 201.68/201.86 ! [T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inf__insert,axiom,
% 201.68/201.86 ! [V_A_2,V_a_2,T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Int__eq__Inter,axiom,
% 201.68/201.86 ! [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))))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inter__Un__subset,axiom,
% 201.68/201.86 ! [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)))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inf__binary,axiom,
% 201.68/201.86 ! [V_b_2,V_a_2,T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_inf__Inf__fold__inf,axiom,
% 201.68/201.86 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.86 => 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) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inf__fin__Inf,axiom,
% 201.68/201.86 ! [V_A_2,T_b] :
% 201.68/201.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.68/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.68/201.86 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_minus__shift__def,axiom,
% 201.68/201.86 ! [V_r,V_l,V_k] :
% 201.68/201.86 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 201.68/201.86 => 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) )
% 201.68/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 201.68/201.86 => 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) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_inc__shift__def,axiom,
% 201.68/201.86 ! [V_k,V_v] :
% 201.68/201.86 ( ( V_v = V_k
% 201.68/201.86 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 201.68/201.86 & ( V_v != V_k
% 201.68/201.86 => 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)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_iso__tuple__UNIV__I,axiom,
% 201.68/201.86 ! [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)))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_mod__div__decomp,axiom,
% 201.68/201.86 ! [V_b,V_a,T_a] :
% 201.68/201.86 ( class_Divides_Osemiring__div(T_a)
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_Inter__subset,axiom,
% 201.68/201.86 ! [V_B_2,V_A_2,T_b] :
% 201.68/201.86 ( ! [B_X] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 201.68/201.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 201.68/201.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 201.68/201.86 => 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)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_InterI,axiom,
% 201.68/201.86 ! [V_A_2,V_C_2,T_b] :
% 201.68/201.86 ( ! [B_X] :
% 201.68/201.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 201.68/201.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 201.68/201.86 => 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))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_subtract__code__numeral__def,axiom,
% 201.68/201.86 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_minus__code__numeral__code,axiom,
% 201.68/201.86 ! [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) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 201.68/201.86 ! [V_w] :
% 201.68/201.86 ( 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)))
% 201.68/201.86 => ( ( 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))))
% 201.68/201.86 => 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))) )
% 201.68/201.86 & ( ~ 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))))
% 201.68/201.86 => 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)))) ) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_nat_Osize_I2_J,axiom,
% 201.68/201.86 ! [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))) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_diff__nat__number__of,axiom,
% 201.68/201.86 ! [V_v_2,V_v_H_2] :
% 201.68/201.86 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 201.68/201.86 => 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) )
% 201.68/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 201.68/201.86 => 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)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_setsum__abs,axiom,
% 201.68/201.86 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.86 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.68/201.86 => 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))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_setsum__abs__ge__zero,axiom,
% 201.68/201.86 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.86 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.68/201.86 => 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))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_setsum_Odistrib,axiom,
% 201.68/201.86 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 201.68/201.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.68/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.68/201.86 => 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)) ) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_setsum__addf,axiom,
% 201.68/201.86 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 201.68/201.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_pred__subset__eq2,axiom,
% 201.68/201.86 ! [V_S_2,V_R_2,T_c,T_b] :
% 201.68/201.86 ( 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)))
% 201.68/201.86 <=> 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_pred__subset__eq,axiom,
% 201.68/201.86 ! [V_S_2,V_R_2,T_b] :
% 201.68/201.86 ( 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)))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__int__setprod,axiom,
% 201.68/201.86 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.86 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.68/201.86 & class_Rings_Oring__1(T_b) )
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_of__int__setsum,axiom,
% 201.68/201.86 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.86 ( class_Rings_Oring__1(T_b)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_setsum__subtractf,axiom,
% 201.68/201.86 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 201.68/201.86 ( class_Groups_Oab__group__add(T_b)
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_fun__diff__def,axiom,
% 201.68/201.86 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.68/201.86 ( class_Groups_Ominus(T_b)
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_setsum__0,axiom,
% 201.68/201.86 ! [V_A_2,T_c,T_b] :
% 201.68/201.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_int__setsum,axiom,
% 201.68/201.86 ! [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) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_fold__image__def,axiom,
% 201.68/201.86 ! [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)) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_setprod__timesf,axiom,
% 201.68/201.86 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 201.68/201.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.68/201.86 => 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)) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_setsum__divide__distrib,axiom,
% 201.68/201.86 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 201.68/201.86 ( class_Fields_Ofield(T_b)
% 201.68/201.86 => 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) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_bot__empty__eq,axiom,
% 201.68/201.86 ! [V_x_2,T_b] :
% 201.68/201.86 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 201.68/201.86 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_bot__fun__def,axiom,
% 201.68/201.86 ! [V_x_2,T_c,T_b] :
% 201.68/201.86 ( class_Orderings_Obot(T_b)
% 201.68/201.86 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_sup__Un__eq,axiom,
% 201.68/201.86 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 201.68/201.86 ( 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))
% 201.68/201.86 <=> 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))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_inf__Int__eq,axiom,
% 201.68/201.86 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 201.68/201.86 ( 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))
% 201.68/201.86 <=> 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))) ) ).
% 201.68/201.86
% 201.68/201.86 fof(fact_inf__Int__eq2,axiom,
% 201.68/201.86 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 201.96/201.86 ( 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))
% 201.96/201.86 <=> 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_bot__empty__eq2,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,T_c,T_b] :
% 201.96/201.86 ( 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))
% 201.96/201.86 <=> 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)))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_sup__Un__eq2,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 201.96/201.86 ( 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))
% 201.96/201.86 <=> 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__commute,axiom,
% 201.96/201.86 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 201.96/201.86 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.96/201.86 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_pred__equals__eq2,axiom,
% 201.96/201.86 ! [V_S_2,V_R_2,T_c,T_b] :
% 201.96/201.86 ( 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)
% 201.96/201.86 <=> V_R_2 = V_S_2 ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_pred__equals__eq,axiom,
% 201.96/201.86 ! [V_S_2,V_R_2,T_b] :
% 201.96/201.86 ( 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)
% 201.96/201.86 <=> V_R_2 = V_S_2 ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 201.96/201.86 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.96/201.86 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_inf__fun__def,axiom,
% 201.96/201.86 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( class_Lattices_Olattice(T_b)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_sup__fun__def,axiom,
% 201.96/201.86 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( class_Lattices_Olattice(T_b)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__product,axiom,
% 201.96/201.86 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( class_Rings_Osemiring__0(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__left__distrib,axiom,
% 201.96/201.86 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( class_Rings_Osemiring__0(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__right__distrib,axiom,
% 201.96/201.86 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 201.96/201.86 ( class_Rings_Osemiring__0(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_abs__setprod,axiom,
% 201.96/201.86 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( class_Fields_Olinordered__field(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_abs__setsum__abs,axiom,
% 201.96/201.86 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setprod__1,axiom,
% 201.96/201.86 ! [V_A_2,T_c,T_b] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_int__setprod,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_fun__Compl__def,axiom,
% 201.96/201.86 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.96/201.86 ( class_Groups_Ouminus(T_b)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__negf,axiom,
% 201.96/201.86 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( class_Groups_Oab__group__add(T_b)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setprod_Odistrib,axiom,
% 201.96/201.86 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_less__eq__Suc__le__raw,axiom,
% 201.96/201.86 ! [V_n_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__number__of__Bit0,axiom,
% 201.96/201.86 ! [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))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setprod__dividef,axiom,
% 201.96/201.86 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 201.96/201.86 ( class_Fields_Ofield__inverse__zero(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat_Osize_I1_J,axiom,
% 201.96/201.86 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_of__nat__setsum,axiom,
% 201.96/201.86 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( class_Rings_Osemiring__1(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_card__eq__setsum,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_of__nat__setprod,axiom,
% 201.96/201.86 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.96/201.86 & class_Rings_Osemiring__1(T_b) )
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__delta,axiom,
% 201.96/201.86 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => 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) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__delta_H,axiom,
% 201.96/201.86 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => 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) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setprod__delta_H,axiom,
% 201.96/201.86 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => 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) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setprod__delta,axiom,
% 201.96/201.86 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => 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) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__constant,axiom,
% 201.96/201.86 ! [V_A_2,V_y_2,T_c,T_b] :
% 201.96/201.86 ( class_Rings_Osemiring__1(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_power__number__of__even,axiom,
% 201.96/201.86 ! [V_w_2,V_z_2,T_b] :
% 201.96/201.86 ( class_Int_Onumber__ring(T_b)
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_fold__image__distrib,axiom,
% 201.96/201.86 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setprod__constant,axiom,
% 201.96/201.86 ! [V_y_2,V_A_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_zpower__number__of__even,axiom,
% 201.96/201.86 ! [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))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_Powp__Pow__eq,axiom,
% 201.96/201.86 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.86 ( 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))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__restrict__set,axiom,
% 201.96/201.86 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.86 => 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) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_power__number__of__even__number__of,axiom,
% 201.96/201.86 ! [V_w_2,V_v_2,T_b] :
% 201.96/201.86 ( class_Int_Onumber__ring(T_b)
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_card_Oeq__fold__g,axiom,
% 201.96/201.86 ! [V_A_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_card__def,axiom,
% 201.96/201.86 ! [V_A_2,T_b] :
% 201.96/201.86 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.86 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_fun__left__comm__idem__remove,axiom,
% 201.96/201.86 ! [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))))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_diff__nat__eq__if,axiom,
% 201.96/201.86 ! [V_z_2,V_z_H_2] :
% 201.96/201.86 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negDivAlg__div__mod,axiom,
% 201.96/201.86 ! [V_l,V_k] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negDivAlg__minus1,axiom,
% 201.96/201.86 ! [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))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_adjust__eq,axiom,
% 201.96/201.86 ! [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))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_minus__fold__remove,axiom,
% 201.96/201.86 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_Suc__eq__number__of,axiom,
% 201.96/201.86 ! [V_v_2,V_n_2] :
% 201.96/201.86 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_eq__number__of__Suc,axiom,
% 201.96/201.86 ! [V_n_2,V_v_2] :
% 201.96/201.86 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__number__of__Bit1,axiom,
% 201.96/201.86 ! [V_w_2] :
% 201.96/201.86 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 201.96/201.86 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 201.96/201.86 => 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)))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_less__number__of__Suc,axiom,
% 201.96/201.86 ! [V_n_2,V_v_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_less__Suc__number__of,axiom,
% 201.96/201.86 ! [V_v_2,V_n_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_le__Suc__number__of,axiom,
% 201.96/201.86 ! [V_v_2,V_n_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_le__number__of__Suc,axiom,
% 201.96/201.86 ! [V_n_2,V_v_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_power__number__of__odd,axiom,
% 201.96/201.86 ! [V_z_2,V_w_2,T_b] :
% 201.96/201.86 ( class_Int_Onumber__ring(T_b)
% 201.96/201.86 => ( ( 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)))
% 201.96/201.86 => 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))) )
% 201.96/201.86 & ( ~ 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)))
% 201.96/201.86 => 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) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setprod__gen__delta,axiom,
% 201.96/201.86 ! [V_ca_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.96/201.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_ca_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_zpower__number__of__odd,axiom,
% 201.96/201.86 ! [V_z_2,V_w_2] :
% 201.96/201.86 ( ( 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)))
% 201.96/201.86 => 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))) )
% 201.96/201.86 & ( ~ 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)))
% 201.96/201.86 => 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) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negDivAlg_Osimps,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( ( ( 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)))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( ~ ( 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)))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => 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))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__Suc__number__of,axiom,
% 201.96/201.86 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__number__of__Suc,axiom,
% 201.96/201.86 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_power__number__of__odd__number__of,axiom,
% 201.96/201.86 ! [V_v_2,V_w_2,T_b] :
% 201.96/201.86 ( class_Int_Onumber__ring(T_b)
% 201.96/201.86 => ( ( 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)))
% 201.96/201.86 => 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))) )
% 201.96/201.86 & ( ~ 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)))
% 201.96/201.86 => 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) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 201.96/201.86 ! [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 ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negDivAlg__eqn__number__of,axiom,
% 201.96/201.86 ! [V_w,V_v] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( 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))))
% 201.96/201.86 => 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))) )
% 201.96/201.86 & ( ~ 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))))
% 201.96/201.86 => 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)))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negDivAlg__eqn,axiom,
% 201.96/201.86 ! [V_a,V_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => ( ( 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)))
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( ~ 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)))
% 201.96/201.86 => 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))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_norm__frac_Osimps,axiom,
% 201.96/201.86 ! [V_a_2,V_b_2] :
% 201.96/201.86 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.96/201.86 => 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))) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__case__add__eq__if,axiom,
% 201.96/201.86 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 201.96/201.86 ! [V_w] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( 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)))
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( ~ 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)))
% 201.96/201.86 => 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)))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_posDivAlg_Osimps,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => 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))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_sup2CI,axiom,
% 201.96/201.86 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 201.96/201.86 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_sup2E,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.96/201.86 ( 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))
% 201.96/201.86 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_inf2E,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.96/201.86 ( 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))
% 201.96/201.86 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 201.96/201.86 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_inf2I,axiom,
% 201.96/201.86 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_bot2E,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_sup2I2,axiom,
% 201.96/201.86 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_sup2I1,axiom,
% 201.96/201.86 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_inf2D2,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.96/201.86 ( 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))
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_inf2D1,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.96/201.86 ( 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))
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_predicate2D,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_rev__predicate2D,axiom,
% 201.96/201.86 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_less__by__empty,axiom,
% 201.96/201.86 ! [V_B_2,T_b,V_A_2] :
% 201.96/201.86 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__case__0,axiom,
% 201.96/201.86 ! [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 ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__case__Suc,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_posDivAlg__0,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 201.96/201.86 ! [V_n_2,V_m_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 201.96/201.86 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_diff__Suc,axiom,
% 201.96/201.86 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__Suc2,axiom,
% 201.96/201.86 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_n_2)),V_m_2) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__Suc1,axiom,
% 201.96/201.86 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),V_m_2) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_posDivAlg__div__mod,axiom,
% 201.96/201.86 ! [V_l,V_k] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__case__number__of,axiom,
% 201.96/201.86 ! [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))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_posDivAlg__eqn,axiom,
% 201.96/201.86 ! [V_a,V_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.96/201.86 => 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))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_posDivAlg__eqn__number__of,axiom,
% 201.96/201.86 ! [V_w,V_v] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( 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)))
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( ~ 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)))
% 201.96/201.86 => 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)))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_in__rel__def,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 201.96/201.86 <=> 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__mod__code__numeral__def,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_Nitpick_Orefl_H__def,axiom,
% 201.96/201.86 ! [V_r_2,T_b] :
% 201.96/201.86 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 201.96/201.86 <=> ! [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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_adjust__def,axiom,
% 201.96/201.86 ! [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))))))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_of__int__num,axiom,
% 201.96/201.86 ! [V_k_2,T_b] :
% 201.96/201.86 ( class_Rings_Oring__1(T_b)
% 201.96/201.86 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 201.96/201.86 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => 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))) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => 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))))) ) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__step,axiom,
% 201.96/201.86 ! [V_m,V_n] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__rec__add__eq__if,axiom,
% 201.96/201.86 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 201.96/201.86 ! [V_n_2,T_b] :
% 201.96/201.86 ( class_Rings_Osemiring__1(T_b)
% 201.96/201.86 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__rec__0,axiom,
% 201.96/201.86 ! [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 ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__rec__Suc,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__zero,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 201.96/201.86 ! [V_i_2,V_inc_2,T_b] :
% 201.96/201.86 ( class_Rings_Osemiring__1(T_b)
% 201.96/201.86 => 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 ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 201.96/201.86 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 201.96/201.86 ( class_Rings_Osemiring__1(T_b)
% 201.96/201.86 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__base,axiom,
% 201.96/201.86 ! [V_n,V_m] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__div__mod,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__mod__div,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__rec__number__of,axiom,
% 201.96/201.86 ! [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)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_Nitpick_OFrac__def,axiom,
% 201.96/201.86 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)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__def,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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))) ) ) ) ) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => 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))) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__pdivmod,axiom,
% 201.96/201.86 ! [V_l_2,V_k_2] :
% 201.96/201.86 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)))) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 201.96/201.86 ! [V_c,V_r,V_q,V_b,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 201.96/201.86 => 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)))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__rel__unique,axiom,
% 201.96/201.86 ! [V_qr_H,V_qr,V_n,V_m] :
% 201.96/201.86 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 201.96/201.86 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 201.96/201.86 => V_qr = V_qr_H ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negateSnd__def,axiom,
% 201.96/201.86 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 201.96/201.86 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__eq,axiom,
% 201.96/201.86 ! [V_qr,V_n,V_m] :
% 201.96/201.86 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 201.96/201.86 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mod__eq,axiom,
% 201.96/201.86 ! [V_r,V_q,V_n,V_m] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__eq,axiom,
% 201.96/201.86 ! [V_r,V_q,V_n,V_m] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negateSnd__eq,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__rel,axiom,
% 201.96/201.86 ! [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)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 201.96/201.86 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( 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)))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 201.96/201.86 => 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)))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_pdivmod__def,axiom,
% 201.96/201.86 ! [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))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_pdivmod__posDivAlg,axiom,
% 201.96/201.86 ! [V_k,V_l] :
% 201.96/201.86 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__code,axiom,
% 201.96/201.86 ! [V_l_2,V_k_2] :
% 201.96/201.86 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)))) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 201.96/201.86 ! [V_a,V_r,V_q,V_c,V_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 201.96/201.86 => 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)))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_prod__caseI,axiom,
% 201.96/201.86 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_splitI,axiom,
% 201.96/201.86 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negDivAlg_Opsimps,axiom,
% 201.96/201.86 ! [V_b_2,V_a_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( ( 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)))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( ~ ( 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)))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => 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))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_dual__max,axiom,
% 201.96/201.86 ! [T_b] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_b)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_accp__downward,axiom,
% 201.96/201.86 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.96/201.86 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_accp_Oequations,axiom,
% 201.96/201.86 ! [V_a_2,V_r_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 201.96/201.86 <=> ! [B_x] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 201.96/201.86 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_accp_Osimps,axiom,
% 201.96/201.86 ! [V_a_2,V_r_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 201.96/201.86 <=> ! [B_x] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 201.96/201.86 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_accp__subset,axiom,
% 201.96/201.86 ! [V_R2_2,V_R1_2,T_b] :
% 201.96/201.86 ( 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))
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_split__paired__All,axiom,
% 201.96/201.86 ! [T_c,T_b,V_Pa_2] :
% 201.96/201.86 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 201.96/201.86 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_Pair__eq,axiom,
% 201.96/201.86 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 201.96/201.86 ( 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)
% 201.96/201.86 <=> ( V_a_2 = V_a_H_2
% 201.96/201.86 & V_b_2 = V_b_H_2 ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_Pair__inject,axiom,
% 201.96/201.86 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 201.96/201.86 ( 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)
% 201.96/201.86 => ~ ( V_a = V_a_H
% 201.96/201.86 => V_b != V_b_H ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_split__weak__cong,axiom,
% 201.96/201.86 ! [V_ca_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 201.96/201.86 ( V_p_2 = V_q_2
% 201.96/201.86 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_q_2) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_split__conv,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_prod_Osimps_I2_J,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_splitD,axiom,
% 201.96/201.86 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_apsnd__conv,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_split__eta,axiom,
% 201.96/201.86 ! [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 ).
% 201.96/201.86
% 201.96/201.86 fof(fact_split__twice,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_posDivAlg_Opsimps,axiom,
% 201.96/201.86 ! [V_b_2,V_a_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => 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) )
% 201.96/201.86 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => 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))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_norm__frac_Opsimps,axiom,
% 201.96/201.86 ! [V_b_2,V_a_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.96/201.86 => 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)) )
% 201.96/201.86 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.96/201.86 => 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))) ) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negDivAlg_Opinduct,axiom,
% 201.96/201.86 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ! [B_a,B_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( ~ ( 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)))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_zmult2__lemma,axiom,
% 201.96/201.86 ! [V_c,V_r,V_q,V_b,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.96/201.86 => 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)))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mem__splitI,axiom,
% 201.96/201.86 ! [T_d,T_c,V_b_2,V_a_2,V_ca_2,V_z_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_b_2)))
% 201.96/201.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_splitD_H,axiom,
% 201.96/201.86 ! [V_ca_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_ca_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_ca_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_unique__remainder,axiom,
% 201.96/201.86 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( 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)))
% 201.96/201.86 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => V_r = V_r_H ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_unique__quotient,axiom,
% 201.96/201.86 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( 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)))
% 201.96/201.86 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => V_q = V_q_H ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_self__remainder,axiom,
% 201.96/201.86 ! [V_r,V_q,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__rel__0,axiom,
% 201.96/201.86 ! [V_b] :
% 201.96/201.86 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__rel__neg,axiom,
% 201.96/201.86 ! [V_qr,V_b,V_a] :
% 201.96/201.86 ( 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))
% 201.96/201.86 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__correct,axiom,
% 201.96/201.86 ! [V_a,V_b] :
% 201.96/201.86 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_self__quotient,axiom,
% 201.96/201.86 ! [V_r,V_q,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__rel__mod,axiom,
% 201.96/201.86 ! [V_r,V_q,V_b,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__rel__div,axiom,
% 201.96/201.86 ! [V_r,V_q,V_b,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_negDivAlg__correct,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__rel__div__mod,axiom,
% 201.96/201.86 ! [V_a,V_b] :
% 201.96/201.86 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_posDivAlg__correct,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_zadd1__lemma,axiom,
% 201.96/201.86 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( 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)))
% 201.96/201.86 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_zminus1__lemma,axiom,
% 201.96/201.86 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => 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))))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__if,axiom,
% 201.96/201.86 ! [V_m_2,V_n_2] :
% 201.96/201.86 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 201.96/201.86 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) )
% 201.96/201.86 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 201.96/201.86 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2),V_n_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__relI,axiom,
% 201.96/201.86 ! [V_r,V_q,V_b,V_a] :
% 201.96/201.86 ( 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)
% 201.96/201.86 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.96/201.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 201.96/201.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 201.96/201.86 => 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))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_zmult1__lemma,axiom,
% 201.96/201.86 ! [V_a,V_r,V_q,V_c,V_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.96/201.86 => 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)))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__int__rel__def,axiom,
% 201.96/201.86 ! [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))))))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_posDivAlg_Opinduct,axiom,
% 201.96/201.86 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ! [B_a,B_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__gcd_Opsimps,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.96/201.86 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 201.96/201.86 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.96/201.86 => 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)) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 201.96/201.86 ! [V_f_2,V_A_2,T_b] :
% 201.96/201.86 ( ! [B_x] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.96/201.86 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mod__pos__neg__1__number__of,axiom,
% 201.96/201.86 ! [V_w] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => 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))))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_snd__eqD,axiom,
% 201.96/201.86 ! [V_a,V_y,V_x,T_a,T_b] :
% 201.96/201.86 ( 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
% 201.96/201.86 => V_y = V_a ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_snd__conv,axiom,
% 201.96/201.86 ! [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 ).
% 201.96/201.86
% 201.96/201.86 fof(fact_apsnd__eq__conv,axiom,
% 201.96/201.86 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 201.96/201.86 ( 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)
% 201.96/201.86 <=> 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_snd__apsnd,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_snd__def,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mod__int__def,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mod__neg__pos,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mod__pos__pos,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mod__pos__pos__1__number__of,axiom,
% 201.96/201.86 ! [V_w] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mod__pos__neg,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => 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)))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mod__neg__neg,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => 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)))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_in__measure,axiom,
% 201.96/201.86 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 201.96/201.86 ( hBOOL(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)))
% 201.96/201.86 <=> 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 201.96/201.86 ! [V_f_2,V_A_2,T_b] :
% 201.96/201.86 ( ! [B_x] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.96/201.86 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_norm__frac_Opinduct,axiom,
% 201.96/201.86 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ! [B_a,B_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__pos__neg__1__number__of,axiom,
% 201.96/201.86 ! [V_w] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => 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))))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_prod__eqI,axiom,
% 201.96/201.86 ! [V_q,V_p,T_b,T_a] :
% 201.96/201.86 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 201.96/201.86 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 201.96/201.86 => V_p = V_q ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_Pair__fst__snd__eq,axiom,
% 201.96/201.86 ! [T_c,T_b,V_t_2,V_s_2] :
% 201.96/201.86 ( V_s_2 = V_t_2
% 201.96/201.86 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 201.96/201.86 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_fst__conv,axiom,
% 201.96/201.86 ! [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 ).
% 201.96/201.86
% 201.96/201.86 fof(fact_fst__eqD,axiom,
% 201.96/201.86 ! [V_a,V_y,V_x,T_b,T_a] :
% 201.96/201.86 ( 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
% 201.96/201.86 => V_x = V_a ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_fst__apsnd,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_fst__def,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_surjective__pairing,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_pair__collapse,axiom,
% 201.96/201.86 ! [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 ).
% 201.96/201.86
% 201.96/201.86 fof(fact_prod__case__beta,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__int__def,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mod__nat__def,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_split__beta,axiom,
% 201.96/201.86 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_split__comp__eq,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_split__def,axiom,
% 201.96/201.86 ! [V_p_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__neg__pos,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__pos__pos,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.96/201.86 => 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)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__pos__pos__1__number__of,axiom,
% 201.96/201.86 ! [V_w] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__pos__neg,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => 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)))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__neg__neg,axiom,
% 201.96/201.86 ! [V_b,V_a] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.96/201.86 => 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)))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_prod__size__simp,axiom,
% 201.96/201.86 ! [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))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_exI__realizer,axiom,
% 201.96/201.86 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_conjI__realizer,axiom,
% 201.96/201.86 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] :
% 201.96/201.86 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 201.96/201.86 => ( hBOOL(hAPP(V_Qa_2,V_q_2))
% 201.96/201.86 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 201.96/201.86 & hBOOL(hAPP(V_Qa_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__gcd_Opinduct,axiom,
% 201.96/201.86 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ! [B_x,B_y] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 201.96/201.86 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_div__nat__def,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_divmod__nat__rel__def,axiom,
% 201.96/201.86 ! [V_qr_2,V_n_2,V_m_2] :
% 201.96/201.86 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 201.96/201.86 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))
% 201.96/201.86 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.96/201.86 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.96/201.86 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.96/201.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 201.96/201.86 => ( 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)))
% 201.96/201.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)) ) )
% 201.96/201.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 201.96/201.86 & 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))) ) ) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_range,axiom,
% 201.96/201.86 ! [V_s,V_k] :
% 201.96/201.86 ( 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))
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_arith__series__int,axiom,
% 201.96/201.86 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mlex__leq,axiom,
% 201.96/201.86 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => ( hBOOL(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))
% 201.96/201.86 => hBOOL(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))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_mlex__less,axiom,
% 201.96/201.86 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 => hBOOL(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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_finite__lessThan,axiom,
% 201.96/201.86 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_lessThan__0,axiom,
% 201.96/201.86 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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_card__lessThan,axiom,
% 201.96/201.86 ! [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 ).
% 201.96/201.86
% 201.96/201.86 fof(fact_lessThan__eq__iff,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,T_b] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_b)
% 201.96/201.86 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 201.96/201.86 <=> V_x_2 = V_y_2 ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_lessThan__Suc,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_lessThan__iff,axiom,
% 201.96/201.86 ! [V_k_2,V_i_2,T_b] :
% 201.96/201.86 ( class_Orderings_Oord(T_b)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_lessThan__subset__iff,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,T_b] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_b)
% 201.96/201.86 => ( 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)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__lessThan__Suc,axiom,
% 201.96/201.86 ! [V_n_2,V_f_2,T_b] :
% 201.96/201.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.96/201.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_lessThan__strict__subset__iff,axiom,
% 201.96/201.86 ! [V_n_2,V_m_2,T_b] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_b)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_single__Diff__lessThan,axiom,
% 201.96/201.86 ! [V_k_2,T_b] :
% 201.96/201.86 ( class_Orderings_Oorder(T_b)
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_finite__nat__set__iff__bounded,axiom,
% 201.96/201.86 ! [V_N_2] :
% 201.96/201.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 201.96/201.86 <=> ? [B_m] :
% 201.96/201.86 ! [B_x] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 201.96/201.86 ! [V_N_2] :
% 201.96/201.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 201.96/201.86 <=> ? [B_m] :
% 201.96/201.86 ! [B_x] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_arith__series__general,axiom,
% 201.96/201.86 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 201.96/201.86 ( class_Rings_Ocomm__semiring__1(T_b)
% 201.96/201.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_arith__series__nat,axiom,
% 201.96/201.86 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat_Osize_I4_J,axiom,
% 201.96/201.86 ! [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))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_prod_Orecs,axiom,
% 201.96/201.86 ! [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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 201.96/201.86 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 201.96/201.86 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 201.96/201.86 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 201.96/201.86 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat__size,axiom,
% 201.96/201.86 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 201.96/201.86
% 201.96/201.86 fof(fact_infinite__UNIV__nat,axiom,
% 201.96/201.86 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_nat_Osize_I3_J,axiom,
% 201.96/201.86 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) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_ord_OatMost__iff,axiom,
% 201.96/201.86 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_ord_OatLeast__iff,axiom,
% 201.96/201.86 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_ord_OlessThan__iff,axiom,
% 201.96/201.86 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_ord_OgreaterThan__iff,axiom,
% 201.96/201.86 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 201.96/201.86 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 201.96/201.86 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 201.96/201.86 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 201.96/201.86 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 201.96/201.86 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_in__lex__prod,axiom,
% 201.96/201.86 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 <=> ( 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))
% 201.96/201.86 | ( V_a_2 = V_a_H_2
% 201.96/201.86 & 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)) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_in__finite__psubset,axiom,
% 201.96/201.86 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.86 ( 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)))
% 201.96/201.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.96/201.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_same__fstI,axiom,
% 201.96/201.86 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 201.96/201.86 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.96/201.86 => ( 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)))
% 201.96/201.86 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__nonneg__leq__bound,axiom,
% 201.96/201.86 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Oordered__ab__group__add(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 201.96/201.86 => ( ! [B_i] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 201.96/201.86 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_setsum__nonneg__0,axiom,
% 201.96/201.86 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 201.96/201.86 ( class_Groups_Oordered__ab__group__add(T_c)
% 201.96/201.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 201.96/201.86 => ( ! [B_i] :
% 201.96/201.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 201.96/201.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 201.96/201.86 => ( 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)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 201.96/201.86 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_max__number__of__Suc,axiom,
% 201.96/201.86 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_sup__max,axiom,
% 201.96/201.86 ! [T_b] :
% 201.96/201.86 ( ( class_Lattices_Osemilattice__sup(T_b)
% 201.96/201.86 & class_Orderings_Olinorder(T_b) )
% 201.96/201.86 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_sup__nat__def,axiom,
% 201.96/201.86 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_le__maxI1,axiom,
% 201.96/201.86 ! [V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_le__maxI2,axiom,
% 201.96/201.86 ! [V_x,V_y,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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))) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Ole__iff__sup,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,T_b] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_b)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.96/201.86 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Ole__sup__iff,axiom,
% 201.96/201.86 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_b)
% 201.96/201.86 => ( 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))
% 201.96/201.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 201.96/201.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Ole__supI1,axiom,
% 201.96/201.86 ! [V_b,V_a,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.96/201.86 => 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))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Ole__supI2,axiom,
% 201.96/201.86 ! [V_a,V_b,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 201.96/201.86 => 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))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__absorb2,axiom,
% 201.96/201.86 ! [V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.96/201.86 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__absorb1,axiom,
% 201.96/201.86 ! [V_x,V_y,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.96/201.86 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Ole__supI,axiom,
% 201.96/201.86 ! [V_b,V_x,V_a,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 201.96/201.86 => 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)) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__least,axiom,
% 201.96/201.86 ! [V_z,V_x,V_y,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 201.96/201.86 => 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)) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__mono,axiom,
% 201.96/201.86 ! [V_d,V_b,V_c,V_a,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 201.96/201.86 => 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))) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Ole__supE,axiom,
% 201.96/201.86 ! [V_x,V_b,V_a,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( 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))
% 201.96/201.86 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.96/201.86 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_le__max__iff__disj,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_b)
% 201.96/201.86 => ( 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)))
% 201.96/201.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_max__add__distrib__left,axiom,
% 201.96/201.86 ! [V_z,V_y,V_x,T_a] :
% 201.96/201.86 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Oless__supI1,axiom,
% 201.96/201.86 ! [V_b,V_a,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 201.96/201.86 => 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))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Oless__supI2,axiom,
% 201.96/201.86 ! [V_a,V_b,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 201.96/201.86 => 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))) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_less__max__iff__disj,axiom,
% 201.96/201.86 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_b)
% 201.96/201.86 => ( 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)))
% 201.96/201.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 201.96/201.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_max__less__iff__conj,axiom,
% 201.96/201.86 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_b)
% 201.96/201.86 => ( 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))
% 201.96/201.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 201.96/201.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_max__diff__distrib__left,axiom,
% 201.96/201.86 ! [V_z,V_y,V_x,T_a] :
% 201.96/201.86 ( class_Groups_Oordered__ab__group__add(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup_Oidem,axiom,
% 201.96/201.86 ! [V_a,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup_Ocommute,axiom,
% 201.96/201.86 ! [V_b,V_a,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__commute,axiom,
% 201.96/201.86 ! [V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 201.96/201.86 ! [V_b,V_a,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__left__idem,axiom,
% 201.96/201.86 ! [V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 201.96/201.86 ! [V_c,V_a,V_b,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__left__commute,axiom,
% 201.96/201.86 ! [V_z,V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup_Oassoc,axiom,
% 201.96/201.86 ! [V_c,V_b,V_a,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__assoc,axiom,
% 201.96/201.86 ! [V_z,V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_Max_Oidem,axiom,
% 201.96/201.86 ! [V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 201.96/201.86 ! [V_x,V_z,V_y,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 201.96/201.86 ! [V_x,V_z,V_y,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 201.96/201.86 ! [V_z,V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 201.96/201.86 ! [V_z,V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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)) ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 201.96/201.86 ! [V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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 ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_min__max_Osup__inf__absorb,axiom,
% 201.96/201.86 ! [V_y,V_x,T_a] :
% 201.96/201.86 ( class_Orderings_Olinorder(T_a)
% 201.96/201.86 => 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 ) ).
% 201.96/201.86
% 201.96/201.86 fof(fact_max__Suc__Suc,axiom,
% 201.96/201.86 ! [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)) ).
% 201.96/201.86
% 201.96/201.87 fof(fact_max__0L,axiom,
% 201.96/201.87 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 201.96/201.87
% 201.96/201.87 fof(fact_max__0R,axiom,
% 201.96/201.87 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 201.96/201.87 ! [T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_max__number__of,axiom,
% 201.96/201.87 ! [V_v,V_u,T_b] :
% 201.96/201.87 ( ( class_Int_Onumber(T_b)
% 201.96/201.87 & class_Orderings_Oord(T_b) )
% 201.96/201.87 => ( ( 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)))
% 201.96/201.87 => 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) )
% 201.96/201.87 & ( ~ 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)))
% 201.96/201.87 => 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) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_Odistrib__sup__le,axiom,
% 201.96/201.87 ! [V_z,V_y,V_x,T_a] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_a)
% 201.96/201.87 => 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)))) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_Odistrib__inf__le,axiom,
% 201.96/201.87 ! [V_z,V_y,V_x,T_a] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_a)
% 201.96/201.87 => 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)))) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_minus__max__eq__min,axiom,
% 201.96/201.87 ! [V_y,V_x,T_a] :
% 201.96/201.87 ( class_Groups_Olinordered__ab__group__add(T_a)
% 201.96/201.87 => 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)) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_minus__min__eq__max,axiom,
% 201.96/201.87 ! [V_y,V_x,T_a] :
% 201.96/201.87 ( class_Groups_Olinordered__ab__group__add(T_a)
% 201.96/201.87 => 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)) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_nat__minus__add__max,axiom,
% 201.96/201.87 ! [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) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_max__Suc2,axiom,
% 201.96/201.87 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_n_2)),V_m_2) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_max__Suc1,axiom,
% 201.96/201.87 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),V_m_2) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_max__ord__max,axiom,
% 201.96/201.87 ! [T_b] :
% 201.96/201.87 ( class_Orderings_Oord(T_b)
% 201.96/201.87 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_Ofold__sup__insert,axiom,
% 201.96/201.87 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => 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)) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_dual__min,axiom,
% 201.96/201.87 ! [T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => 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) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 201.96/201.87 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.96/201.87 => 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))) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 201.96/201.87 ! [V_a_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.96/201.87 => 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 ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_max__Suc__number__of,axiom,
% 201.96/201.87 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Oremove,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.96/201.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.96/201.87 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 201.96/201.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.96/201.87 => 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)))))) ) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OInf__le__Sup,axiom,
% 201.96/201.87 ! [V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => 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))) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.96/201.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.96/201.87 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 201.96/201.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.96/201.87 => 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)))))) ) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_sum__diff__distrib,axiom,
% 201.96/201.87 ! [V_n_2,V_Pa_2,V_Qa_2] :
% 201.96/201.87 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Qa_2,B_x)),hAPP(V_Pa_2,B_x)))
% 201.96/201.87 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Pa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Qa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_Pa_2)),V_Qa_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Osingleton,axiom,
% 201.96/201.87 ! [V_x_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => 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 ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.96/201.87 => 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) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max__ge,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.96/201.87 => 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))) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 201.96/201.87 ! [V_x_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => 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 ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max__in,axiom,
% 201.96/201.87 ! [V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Oin__idem,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.96/201.87 => 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) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 201.96/201.87 ! [V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => 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) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_OF__eq,axiom,
% 201.96/201.87 ! [V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => 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) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => 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)) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 201.96/201.87 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.96/201.87 => 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) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 201.96/201.87 ! [V_a_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.96/201.87 => 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 ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 201.96/201.87 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.96/201.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => 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)) ) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max__mono,axiom,
% 201.96/201.87 ! [V_N_2,V_M_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 201.96/201.87 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.96/201.87 => 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))) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 201.96/201.87 ! [V_a_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => 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) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max__insert,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => 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)) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Osubset__idem,axiom,
% 201.96/201.87 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.96/201.87 => 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) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max__Un,axiom,
% 201.96/201.87 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.96/201.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => 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)) ) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 201.96/201.87 ! [V_a_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => 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) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => 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)) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.96/201.87 => 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 )
% 201.96/201.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.96/201.87 => 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)))))) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 201.96/201.87 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.96/201.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( 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))
% 201.96/201.87 => 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)) ) ) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 201.96/201.87 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.96/201.87 => ( 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))
% 201.96/201.87 => 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)) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.96/201.87 => 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) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Oinsert,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => 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)) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Oinsert__remove,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.96/201.87 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 201.96/201.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 201.96/201.87 => 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)))))) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Ounion__disjoint,axiom,
% 201.96/201.87 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.96/201.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( 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))
% 201.96/201.87 => 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)) ) ) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Ounion__inter,axiom,
% 201.96/201.87 ! [V_B_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.96/201.87 => ( 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))
% 201.96/201.87 => 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)) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Oeq__fold_H,axiom,
% 201.96/201.87 ! [V_x_2,V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.96/201.87 => 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) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 201.96/201.87 ! [V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( ! [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))))))
% 201.96/201.87 => 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)) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_Max_Oclosed,axiom,
% 201.96/201.87 ! [V_A_2,T_b] :
% 201.96/201.87 ( class_Orderings_Olinorder(T_b)
% 201.96/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.96/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.96/201.87 => ( ! [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))))))
% 201.96/201.87 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_apsnd__apfst,axiom,
% 201.96/201.87 ! [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))) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_apfst__apsnd,axiom,
% 201.96/201.87 ! [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))) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_apfst__conv,axiom,
% 201.96/201.87 ! [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) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_fst__apfst,axiom,
% 201.96/201.87 ! [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)) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_apfst__eq__conv,axiom,
% 201.96/201.87 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 201.96/201.87 ( 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)
% 201.96/201.87 <=> 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)) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_snd__apfst,axiom,
% 201.96/201.87 ! [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) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_apsnd__apfst__commute,axiom,
% 201.96/201.87 ! [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)) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_pair__lessI2,axiom,
% 201.96/201.87 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 201.96/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 201.96/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 201.96/201.87 => 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)) ) ) ).
% 201.96/201.87
% 201.96/201.87 fof(fact_setsum__natinterval__difff,axiom,
% 201.96/201.87 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 201.98/201.87 ( class_Groups_Oab__group__add(T_b)
% 201.98/201.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 201.98/201.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_gauss__sum,axiom,
% 201.98/201.87 ! [V_n_2,T_b] :
% 201.98/201.87 ( class_Rings_Ocomm__semiring__1(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INFI__fold__inf,axiom,
% 201.98/201.87 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF1__E,axiom,
% 201.98/201.87 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 201.98/201.87 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF1__D,axiom,
% 201.98/201.87 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__D,axiom,
% 201.98/201.87 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__E,axiom,
% 201.98/201.87 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 201.98/201.87 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF2__E,axiom,
% 201.98/201.87 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 201.98/201.87 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 201.98/201.87 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF2__D,axiom,
% 201.98/201.87 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__INT,axiom,
% 201.98/201.87 ! [V_A_2,T_c,V_I_2,T_b] :
% 201.98/201.87 ( ? [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 201.98/201.87 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__atLeastAtMost,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.87 ( 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)
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_b,T_c] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__subset__iff,axiom,
% 201.98/201.87 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 201.98/201.87 => 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))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__Int__distrib,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Pow__INT__eq,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I8_J,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I8_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INFI__apply,axiom,
% 201.98/201.87 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF__commute,axiom,
% 201.98/201.87 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I5_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I5_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__iff,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Inter__def,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Un__INT__distrib2,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I6_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Un__INT__distrib,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I7_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I6_J,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I7_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF__INT__eq2,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_le__INF__iff,axiom,
% 201.98/201.87 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.87 => ( 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)))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF__less__iff,axiom,
% 201.98/201.87 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 201.98/201.87 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.87 & class_Orderings_Olinorder(T_b) )
% 201.98/201.87 => ( 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))
% 201.98/201.87 <=> ? [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__insert__distrib,axiom,
% 201.98/201.87 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__lower,axiom,
% 201.98/201.87 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF__INT__eq,axiom,
% 201.98/201.87 ! [V_x_2,V_r_2,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__absorb,axiom,
% 201.98/201.87 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 201.98/201.87 => 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF__const,axiom,
% 201.98/201.87 ! [V_M_2,T_b,V_A_2,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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 ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__constant,axiom,
% 201.98/201.87 ! [V_ca_2,T_c,T_b,V_A_2] :
% 201.98/201.87 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 201.98/201.87 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = V_ca_2 ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__empty,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I2_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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 )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I1_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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 )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__insert,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__Un,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Un__Inter,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastatMost__empty__iff,axiom,
% 201.98/201.87 ! [V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( 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))
% 201.98/201.87 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastatMost__empty__iff2,axiom,
% 201.98/201.87 ! [V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( 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)
% 201.98/201.87 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastatMost__empty,axiom,
% 201.98/201.87 ! [V_a_2,V_b_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastatMost__subset__iff,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)))
% 201.98/201.87 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 201.98/201.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2))
% 201.98/201.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastAtMost__singleton_H,axiom,
% 201.98/201.87 ! [V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( V_a_2 = V_b_2
% 201.98/201.87 => 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))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 201.98/201.87 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.87 <=> ( V_a_2 = V_b_2
% 201.98/201.87 & V_b_2 = V_ca_2 ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastAtMost__singleton,axiom,
% 201.98/201.87 ! [V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 201.98/201.87 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 201.98/201.87 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF__subset,axiom,
% 201.98/201.87 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.87 => 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))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I2_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I1_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I3_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I3_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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) )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__atLeastAtMost,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastAtMostSuc__conv,axiom,
% 201.98/201.87 ! [V_n_2,V_m_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.98/201.87 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF__leI,axiom,
% 201.98/201.87 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 201.98/201.87 => 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))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 201.98/201.87 ! [V_k_2,V_f_2] :
% 201.98/201.87 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__atLeastAtMost,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastatMost__psubset__iff,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)))
% 201.98/201.87 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 201.98/201.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2))
% 201.98/201.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 201.98/201.87 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_a_2))
% 201.98/201.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 201.98/201.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I4_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__head__Suc,axiom,
% 201.98/201.87 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_pair__lessI1,axiom,
% 201.98/201.87 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__cl__ivl__Suc,axiom,
% 201.98/201.87 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 201.98/201.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_inf__INFI__fold__inf,axiom,
% 201.98/201.87 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__ub__add__nat,axiom,
% 201.98/201.87 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ex__nat__less,axiom,
% 201.98/201.87 ! [V_Pa_2,V_n_2] :
% 201.98/201.87 ( ? [B_m] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 201.98/201.87 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 201.98/201.87 <=> ? [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)))
% 201.98/201.87 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_all__nat__less,axiom,
% 201.98/201.87 ! [V_Pa_2,V_n_2] :
% 201.98/201.87 ( ! [B_m] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 201.98/201.87 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)))
% 201.98/201.87 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_pair__leqI2,axiom,
% 201.98/201.87 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_smax__insertI,axiom,
% 201.98/201.87 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => 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)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF2__iff,axiom,
% 201.98/201.87 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INF1__iff,axiom,
% 201.98/201.87 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_smax__emptyI,axiom,
% 201.98/201.87 ! [V_Y_2] :
% 201.98/201.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 201.98/201.87 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_simp__from__to,axiom,
% 201.98/201.87 ! [V_i_2,V_j_2] :
% 201.98/201.87 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 201.98/201.87 => 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)) )
% 201.98/201.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__atLeastAtMost__int,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_pair__leqI1,axiom,
% 201.98/201.87 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_wmin__insertI,axiom,
% 201.98/201.87 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => 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)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_wmax__insertI,axiom,
% 201.98/201.87 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => 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)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_smin__insertI,axiom,
% 201.98/201.87 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => 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)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_aset_I8_J,axiom,
% 201.98/201.87 ! [V_t_2,V_A_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 201.98/201.87 => 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))) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__atLeastAtMost__int,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_wmax__emptyI,axiom,
% 201.98/201.87 ! [V_X_2] :
% 201.98/201.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_wmin__emptyI,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_smin__emptyI,axiom,
% 201.98/201.87 ! [V_X_2] :
% 201.98/201.87 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_min__weak__def,axiom,
% 201.98/201.87 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)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_max__weak__def,axiom,
% 201.98/201.87 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)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_bset_I8_J,axiom,
% 201.98/201.87 ! [V_B_2,V_t_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 201.98/201.87 => 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))) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_aset_I6_J,axiom,
% 201.98/201.87 ! [V_A_2,V_t_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 201.98/201.87 => 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)) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_infinite__UNIV__int,axiom,
% 201.98/201.87 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_max__strict__def,axiom,
% 201.98/201.87 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_max__ext__additive,axiom,
% 201.98/201.87 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ( 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)))
% 201.98/201.87 => 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))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_min__strict__def,axiom,
% 201.98/201.87 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_max__extp__max__ext__eq,axiom,
% 201.98/201.87 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 201.98/201.87 ( 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)
% 201.98/201.87 <=> 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_bset_I3_J,axiom,
% 201.98/201.87 ! [V_B_2,V_t_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => ( ! [B_x] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xa] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 201.98/201.87 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 201.98/201.87 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_aset_I3_J,axiom,
% 201.98/201.87 ! [V_A_2,V_t_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ( 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))
% 201.98/201.87 => ( ! [B_x] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xa] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 201.98/201.87 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 201.98/201.87 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_aset_I5_J,axiom,
% 201.98/201.87 ! [V_A_2,V_t_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 201.98/201.87 => 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)) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_aset_I4_J,axiom,
% 201.98/201.87 ! [V_A_2,V_t_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( B_x != V_t_2
% 201.98/201.87 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_bset_I4_J,axiom,
% 201.98/201.87 ! [V_B_2,V_t_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( B_x != V_t_2
% 201.98/201.87 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_bset_I7_J,axiom,
% 201.98/201.87 ! [V_B_2,V_t_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 201.98/201.87 => 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))) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_bset_I6_J,axiom,
% 201.98/201.87 ! [V_t_2,V_B_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 201.98/201.87 => 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)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_periodic__finite__ex,axiom,
% 201.98/201.87 ! [V_Pa_2,V_d_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 201.98/201.87 => ( ! [B_x,B_k] :
% 201.98/201.87 ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.87 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 201.98/201.87 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 201.98/201.87 <=> ? [B_x] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_aset_I7_J,axiom,
% 201.98/201.87 ! [V_t_2,V_A_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 201.98/201.87 => 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))) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_bset_I5_J,axiom,
% 201.98/201.87 ! [V_t_2,V_B_2,V_D_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.98/201.87 => ! [B_x] :
% 201.98/201.87 ( ! [B_xa] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => ! [B_xb] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.98/201.87 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 201.98/201.87 => 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)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__greaterThanLessThan__int,axiom,
% 201.98/201.87 ! [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)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__greaterThanLessThan__int,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_greaterThanLessThan__empty,axiom,
% 201.98/201.87 ! [V_k_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I13_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I12_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__greaterThanLessThan,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_min__rpair__set,axiom,
% 201.98/201.87 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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_max__rpair__set,axiom,
% 201.98/201.87 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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I19_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.98/201.87 => 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) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I4_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__greaterThanAtMost,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__greaterThanLessThan,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__greaterThanAtMost__int,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_greaterThanAtMost__empty,axiom,
% 201.98/201.87 ! [V_k_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 201.98/201.87 ! [V_l_2,V_k_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( 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)
% 201.98/201.87 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 201.98/201.87 ! [V_l_2,V_k_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( 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))
% 201.98/201.87 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I20_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.98/201.87 => 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) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I14_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__greaterThanAtMost,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I22_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.98/201.87 => 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) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I16_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__greaterThanAtMost,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I10_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__greaterThanLessThan,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__greaterThanAtMost__int,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I16_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 201.98/201.87 => 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) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__head,axiom,
% 201.98/201.87 ! [V_Pa_2,V_n_2,V_m_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I5_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_less__than__iff,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_intrel__iff,axiom,
% 201.98/201.87 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_rp__inv__image__rp,axiom,
% 201.98/201.87 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 201.98/201.87 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 201.98/201.87 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUPR__fold__sup,axiom,
% 201.98/201.87 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP1__I,axiom,
% 201.98/201.87 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__I,axiom,
% 201.98/201.87 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 201.98/201.87 => 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))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP2__I,axiom,
% 201.98/201.87 ! [T_d,T_c,V_ca_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UNION__empty__conv_I1_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.87 ( 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)
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__empty2,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__constant,axiom,
% 201.98/201.87 ! [V_ca_2,T_c,T_b,V_A_2] :
% 201.98/201.87 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 201.98/201.87 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_ca_2)) = V_ca_2 ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UNION__empty__conv_I2_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_b,T_c] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__UN,axiom,
% 201.98/201.87 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.87 => ( 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)))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__Un__distrib,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__Un,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__iff,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 <=> ? [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I9_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I9_J,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__Pow__subset,axiom,
% 201.98/201.87 ! [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)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__subset__iff,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__UN__distrib2,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I4_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__UN__distrib,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I5_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I4_J,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I5_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I8_J,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I8_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUPR__apply,axiom,
% 201.98/201.87 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP__commute,axiom,
% 201.98/201.87 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I6_J,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I6_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Union__def,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP__UN__eq2,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP__le__iff,axiom,
% 201.98/201.87 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.87 => ( 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))
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_less__SUP__iff,axiom,
% 201.98/201.87 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 201.98/201.87 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.87 & class_Orderings_Olinorder(T_b) )
% 201.98/201.87 => ( 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)))
% 201.98/201.87 <=> ? [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP__const,axiom,
% 201.98/201.87 ! [V_M_2,T_b,V_A_2,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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 ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__insert__distrib,axiom,
% 201.98/201.87 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__upper,axiom,
% 201.98/201.87 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP__UN__eq,axiom,
% 201.98/201.87 ! [V_x_2,V_r_2,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__absorb,axiom,
% 201.98/201.87 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 201.98/201.87 => 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I1_J,axiom,
% 201.98/201.87 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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))) )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__singleton,axiom,
% 201.98/201.87 ! [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 ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I1_J,axiom,
% 201.98/201.87 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I2_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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 )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I3_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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 )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I2_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I3_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__insert,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I7_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I7_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__Union,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__Union2,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Compl__UN,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Compl__INT,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__lessThan__UNIV,axiom,
% 201.98/201.87 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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP__subset,axiom,
% 201.98/201.87 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.87 => 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))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_pair__less__def,axiom,
% 201.98/201.87 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I4_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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 )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_le__SUPI,axiom,
% 201.98/201.87 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 201.98/201.87 => 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))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I4_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.98/201.87 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) )
% 201.98/201.87 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_sup__SUPR__fold__sup,axiom,
% 201.98/201.87 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.98/201.87 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.98/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_nat__def,axiom,
% 201.98/201.87 ! [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)))))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_mlex__prod__def,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_rp__inv__image__def,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I7_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__atMost,axiom,
% 201.98/201.87 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ball__UN,axiom,
% 201.98/201.87 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.87 ( ! [B_x] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 => ! [B_xa] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 201.98/201.87 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__UN__flatten,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I9_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I9_J,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP2__iff,axiom,
% 201.98/201.87 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 201.98/201.87 <=> ? [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.87 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SUP1__iff,axiom,
% 201.98/201.87 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> ? [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.87 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Rep__Integ__inject,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2] :
% 201.98/201.87 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 201.98/201.87 <=> V_x_2 = V_y_2 ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atMost__eq__iff,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 201.98/201.87 <=> V_x_2 = V_y_2 ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__atMost__UNIV,axiom,
% 201.98/201.87 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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeast0AtMost,axiom,
% 201.98/201.87 ! [V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_lessThan__Suc__atMost,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__atMost,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atMost__Suc,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atMost__iff,axiom,
% 201.98/201.87 ! [V_k_2,V_i_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oord(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 201.98/201.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atMost__subset__iff,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( 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)))
% 201.98/201.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__le__add__shift,axiom,
% 201.98/201.87 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__atMost__Suc,axiom,
% 201.98/201.87 ! [V_n_2,V_f_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atMost__0,axiom,
% 201.98/201.87 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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__atLeastAtMostL1,axiom,
% 201.98/201.87 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__atLeastAtMostR1,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I9_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I3_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I1_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__le__eq__Un0,axiom,
% 201.98/201.87 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_measure__def,axiom,
% 201.98/201.87 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I2_J,axiom,
% 201.98/201.87 ! [V_u_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I10_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_in__inv__image,axiom,
% 201.98/201.87 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( hBOOL(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)))
% 201.98/201.87 <=> 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_geometric__sum,axiom,
% 201.98/201.87 ! [V_n_2,V_x_2,T_b] :
% 201.98/201.87 ( class_Fields_Ofield(T_b)
% 201.98/201.87 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I18_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 201.98/201.87 => 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) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__atLeastLessThan__int,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__atLeastLessThan,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan__eq__iff,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 201.98/201.87 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 201.98/201.87 <=> ( V_a_2 = V_ca_2
% 201.98/201.87 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 201.98/201.87 => V_a_2 = V_ca_2 ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 201.98/201.87 => V_b_2 = V_d_2 ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ex__nat__less__eq,axiom,
% 201.98/201.87 ! [V_Pa_2,V_n_2] :
% 201.98/201.87 ( ? [B_m] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 201.98/201.87 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 201.98/201.87 <=> ? [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)))
% 201.98/201.87 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_all__nat__less__eq,axiom,
% 201.98/201.87 ! [V_Pa_2,V_n_2] :
% 201.98/201.87 ( ! [B_m] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 201.98/201.87 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 201.98/201.87 <=> ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)))
% 201.98/201.87 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan__add__Un,axiom,
% 201.98/201.87 ! [V_k_2,V_j_2,V_i_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan0,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeast0LessThan,axiom,
% 201.98/201.87 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_subset__card__intvl__is__intvl,axiom,
% 201.98/201.87 ! [V_k_2,V_A_2] :
% 201.98/201.87 ( 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)))))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__atLeastLessThan,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan__empty,axiom,
% 201.98/201.87 ! [V_a_2,V_b_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan__empty__iff,axiom,
% 201.98/201.87 ! [V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( 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))
% 201.98/201.87 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 201.98/201.87 ! [V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => ( 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)
% 201.98/201.87 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan__subset__iff,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 201.98/201.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2))
% 201.98/201.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 201.98/201.87 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I17_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.98/201.87 => 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) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 201.98/201.87 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__diff,axiom,
% 201.98/201.87 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 201.98/201.87 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I11_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__add__nat__ivl,axiom,
% 201.98/201.87 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 201.98/201.87 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__diff__nat__ivl,axiom,
% 201.98/201.87 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 201.98/201.87 ( class_Groups_Oab__group__add(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 201.98/201.87 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThan__singleton,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__UN__finite__eq,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I21_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.98/201.87 => 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) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I15_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__atLeastLessThan,axiom,
% 201.98/201.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I8_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I2_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I9_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 201.98/201.87 ! [V_k_2,V_f_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 201.98/201.87 => 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)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__head__upt__Suc,axiom,
% 201.98/201.87 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__atLeastLessThan__int,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_atLeastLessThanSuc,axiom,
% 201.98/201.87 ! [V_n_2,V_m_2] :
% 201.98/201.87 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.87 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_n_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) )
% 201.98/201.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.87 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_setsum__op__ivl__Suc,axiom,
% 201.98/201.87 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 201.98/201.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 201.98/201.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.98/201.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I15_J,axiom,
% 201.98/201.87 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.98/201.87 => 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) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I6_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I3_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_irrefl__def,axiom,
% 201.98/201.87 ! [V_r_2,T_b] :
% 201.98/201.87 ( c_Relation_Oirrefl(T_b,V_r_2)
% 201.98/201.87 <=> ! [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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__finite2__subset,axiom,
% 201.98/201.87 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 201.98/201.87 ( ! [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)))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Field__insert,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Field__empty,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_mono__Field,axiom,
% 201.98/201.87 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Field__Un,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__Field,axiom,
% 201.98/201.87 ! [V_r_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.98/201.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__finite2__eq,axiom,
% 201.98/201.87 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 201.98/201.87 ( ! [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)
% 201.98/201.87 => 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__finite__subset,axiom,
% 201.98/201.87 ! [V_C_2,V_A_2,T_b] :
% 201.98/201.87 ( ! [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))
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Id__on__def,axiom,
% 201.98/201.87 ! [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)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Id__on__def_H,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Id__on__empty,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Id__on__iff,axiom,
% 201.98/201.87 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( hBOOL(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)))
% 201.98/201.87 <=> ( V_x_2 = V_y_2
% 201.98/201.87 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Id__on__eqI,axiom,
% 201.98/201.87 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 201.98/201.87 ( V_a_2 = V_b_2
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.87 => 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))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Id__onE,axiom,
% 201.98/201.87 ! [V_A_2,V_ca_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_ca_2),c_Relation_OId__on(T_b,V_A_2)))
% 201.98/201.87 => ~ ! [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.87 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 201.98/201.87 ! [V_x_2,V_y_2,V_ca_2] :
% 201.98/201.87 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 201.98/201.87 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_ca_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_ca_2)) )
% 201.98/201.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 201.98/201.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 201.98/201.87 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 201.98/201.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 201.98/201.87 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 201.98/201.87 ! [V_u_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__eqI,axiom,
% 201.98/201.87 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 201.98/201.87 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 201.98/201.87 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__imageI,axiom,
% 201.98/201.87 ! [V_h_2,T_c,V_F_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.98/201.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__simps_I10_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__UN,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UN__extend__simps_I10_J,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_range__composition,axiom,
% 201.98/201.87 ! [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)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__image,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.87 <=> 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2] :
% 201.98/201.87 ( V_A_2 = V_B_2
% 201.98/201.87 <=> 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__Pow__surj,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 201.98/201.87 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 201.98/201.87 => 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__extend__simps_I10_J,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__simps_I10_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__iff,axiom,
% 201.98/201.87 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 201.98/201.87 <=> ? [B_x] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.87 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_imageI,axiom,
% 201.98/201.87 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_rev__image__eqI,axiom,
% 201.98/201.87 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.87 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 201.98/201.87 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__is__empty,axiom,
% 201.98/201.87 ! [V_A_2,V_f_2,T_b,T_c] :
% 201.98/201.87 ( 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))
% 201.98/201.87 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__empty,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_empty__is__image,axiom,
% 201.98/201.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.87 ( 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)
% 201.98/201.87 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__insert,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__Un,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__Pow__mono,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_subset__image__iff,axiom,
% 201.98/201.87 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 201.98/201.87 ( 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)))
% 201.98/201.87 <=> ? [B_AA] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 201.98/201.87 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__mono,axiom,
% 201.98/201.87 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_insert__image,axiom,
% 201.98/201.87 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.87 => 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_range__eqI,axiom,
% 201.98/201.87 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 201.98/201.87 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 201.98/201.87 => 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))))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_rangeI,axiom,
% 201.98/201.87 ! [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))))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__surj,axiom,
% 201.98/201.87 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.87 => ( 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)))
% 201.98/201.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__Int__subset,axiom,
% 201.98/201.87 ! [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)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__diff__subset,axiom,
% 201.98/201.87 ! [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)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__uminus__atLeastAtMost,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__Suc__atLeastLessThan,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__Suc__atLeastAtMost,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__constant__conv,axiom,
% 201.98/201.87 ! [V_ca_2,T_c,T_b,V_A_2] :
% 201.98/201.87 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 201.98/201.87 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_finite__range__imageI,axiom,
% 201.98/201.87 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 201.98/201.87 ( 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)))))
% 201.98/201.87 => 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))))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 201.98/201.87 ! [V_A_2,V_x_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 201.98/201.87 <=> 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 201.98/201.87 ! [V_A_2,V_f_2,T_b] :
% 201.98/201.87 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__add__atLeastLessThan,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__add__atLeastAtMost,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 201.98/201.87 ! [V_B_2,V_A_2] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.87 <=> 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__Union,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_card__image__le,axiom,
% 201.98/201.87 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__uminus__atLeastLessThan,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__constant,axiom,
% 201.98/201.87 ! [V_ca_2,T_c,V_A_2,V_x_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.87 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__eq__UN,axiom,
% 201.98/201.87 ! [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)))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 201.98/201.87 ! [V_A_2,V_f_2,T_b] :
% 201.98/201.87 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.87 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 201.98/201.87 ! [V_A_2] :
% 201.98/201.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 201.98/201.87 <=> 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 201.98/201.87 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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__eq__fold__image,axiom,
% 201.98/201.87 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.98/201.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.87 => 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 201.98/201.87 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_minus__Min__eq__Max,axiom,
% 201.98/201.87 ! [V_S_2,T_b] :
% 201.98/201.87 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.98/201.87 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_minus__Max__eq__Min,axiom,
% 201.98/201.87 ! [V_S_2,T_b] :
% 201.98/201.87 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.98/201.87 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 201.98/201.87 ! [V_n_2,V_m_2] :
% 201.98/201.87 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 201.98/201.87 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 201.98/201.87 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_n_2))) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_surj__Compl__image__subset,axiom,
% 201.98/201.87 ! [V_A_2,V_f_2,T_b,T_c] :
% 201.98/201.87 ( 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))
% 201.98/201.87 => 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)))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_greaterThan__0,axiom,
% 201.98/201.87 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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 201.98/201.87 ! [V_N_2,V_h_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( ! [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))
% 201.98/201.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.87 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.87 => 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)) ) ) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_pair__imageI,axiom,
% 201.98/201.87 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.87 ( 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))
% 201.98/201.87 => 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))) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Cantors__paradox,axiom,
% 201.98/201.87 ! [V_A_2,T_b] :
% 201.98/201.87 ~ ? [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_greaterThan__eq__iff,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 201.98/201.87 <=> V_x_2 = V_y_2 ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Field__Union,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_UNION__eq__Union__image,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Union__image__eq,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INTER__eq__Inter__image,axiom,
% 201.98/201.87 ! [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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Inter__image__eq,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 201.98/201.87 ! [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 ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_greaterThan__iff,axiom,
% 201.98/201.87 ! [V_k_2,V_i_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oord(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 201.98/201.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_greaterThan__subset__iff,axiom,
% 201.98/201.87 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( 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)))
% 201.98/201.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Un__Union__image,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Int__Inter__image,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Pow__insert,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Compl__atMost,axiom,
% 201.98/201.87 ! [V_k_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Compl__greaterThan,axiom,
% 201.98/201.87 ! [V_k_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => 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) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 201.98/201.87 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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_INT__greaterThan__UNIV,axiom,
% 201.98/201.87 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)) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 201.98/201.87 ! [V_n_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__add__int__atLeastLessThan,axiom,
% 201.98/201.87 ! [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) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__ident,axiom,
% 201.98/201.87 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 201.98/201.87
% 201.98/201.87 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 201.98/201.87 ! [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))) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I7_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Oorder(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__un_I11_J,axiom,
% 201.98/201.87 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.87 ( class_Orderings_Olinorder(T_b)
% 201.98/201.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.98/201.87 => 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) ) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__uminus__greaterThan,axiom,
% 201.98/201.87 ! [V_x_2,T_b] :
% 201.98/201.87 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_image__uminus__lessThan,axiom,
% 201.98/201.87 ! [V_x_2,T_b] :
% 201.98/201.87 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.98/201.87 => 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)) ) ).
% 201.98/201.87
% 201.98/201.87 fof(fact_ivl__disj__int_I5_J,axiom,
% 201.98/201.88 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.88 ( class_Orderings_Oorder(T_b)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_greaterThan__Suc,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 201.98/201.88 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 201.98/201.88 ! [V_f_2,V_A_2,T_b] :
% 201.98/201.88 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.88 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__image,axiom,
% 201.98/201.88 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 201.98/201.88 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => 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)))))) )
% 201.98/201.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__triv,axiom,
% 201.98/201.88 ! [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 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.98/201.88 => ( V_A_2 = V_B_2
% 201.98/201.88 <=> 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) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__idem__iff,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 201.98/201.88 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__upd,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__same,axiom,
% 201.98/201.88 ! [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 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__apply,axiom,
% 201.98/201.88 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 201.98/201.88 ( ( V_z_2 = V_x_2
% 201.98/201.88 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 201.98/201.88 & ( V_z_2 != V_x_2
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__twist,axiom,
% 201.98/201.88 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_ca_2,V_a_2] :
% 201.98/201.88 ( V_a_2 != V_ca_2
% 201.98/201.88 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_ca_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_ca_2,V_d_2),V_a_2,V_b_2) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__other,axiom,
% 201.98/201.88 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 201.98/201.88 ( V_z_2 != V_x_2
% 201.98/201.88 => 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) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__idem,axiom,
% 201.98/201.88 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 201.98/201.88 ( hAPP(V_f_2,V_x_2) = V_y_2
% 201.98/201.88 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fun__upd__def,axiom,
% 201.98/201.88 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 201.98/201.88 ( ( V_x_2 = V_a_2
% 201.98/201.88 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 201.98/201.88 & ( V_x_2 != V_a_2
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 201.98/201.88 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_nat__set__def,axiom,
% 201.98/201.88 ! [V_S_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_S_2)
% 201.98/201.88 <=> ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2] :
% 201.98/201.88 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 201.98/201.88 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 201.98/201.88 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 201.98/201.88 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 201.98/201.88 ! [V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => 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 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 201.98/201.88 ! [V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 201.98/201.88 <=> 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 201.98/201.88 ! [V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 201.98/201.88 ! [V_A_2,V_x_2] :
% 201.98/201.88 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 201.98/201.88 <=> 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))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.88 <=> 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))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2] :
% 201.98/201.88 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.88 <=> 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))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 201.98/201.88 ! [V_f_2,V_A_2,T_b] :
% 201.98/201.88 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.88 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_atLeast__Suc,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 201.98/201.88 ! [V_N_2,V_h_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( ! [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))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Max_Ohom__commute,axiom,
% 201.98/201.88 ! [V_N_2,V_h_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( ! [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))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_atLeast__eq__iff,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 201.98/201.88 <=> V_x_2 = V_y_2 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_atLeast__iff,axiom,
% 201.98/201.88 ! [V_k_2,V_i_2,T_b] :
% 201.98/201.88 ( class_Orderings_Oord(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 201.98/201.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_atLeast__subset__iff,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.88 ( class_Orderings_Oorder(T_b)
% 201.98/201.88 => ( 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)))
% 201.98/201.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_atLeast__0,axiom,
% 201.98/201.88 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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Compl__lessThan,axiom,
% 201.98/201.88 ! [V_k_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => 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) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Compl__atLeast,axiom,
% 201.98/201.88 ! [V_k_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => 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) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_atLeast__Suc__greaterThan,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_ivl__disj__un_I14_J,axiom,
% 201.98/201.88 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_ivl__disj__int_I8_J,axiom,
% 201.98/201.88 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.88 ( class_Orderings_Oorder(T_b)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Int__atLeastAtMostR2,axiom,
% 201.98/201.88 ! [V_d_2,V_ca_2,V_a_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_d_2) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Int__atLeastAtMostL2,axiom,
% 201.98/201.88 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_ca_2),V_b_2) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_UN__atLeast__UNIV,axiom,
% 201.98/201.88 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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_ivl__disj__int_I6_J,axiom,
% 201.98/201.88 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.88 ( class_Orderings_Oorder(T_b)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_image__uminus__atMost,axiom,
% 201.98/201.88 ! [V_x_2,T_b] :
% 201.98/201.88 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_image__uminus__atLeast,axiom,
% 201.98/201.88 ! [V_x_2,T_b] :
% 201.98/201.88 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_atMost__Int__atLeast,axiom,
% 201.98/201.88 ! [V_n_2,T_b] :
% 201.98/201.88 ( class_Orderings_Oorder(T_b)
% 201.98/201.88 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_ivl__disj__un_I1_J,axiom,
% 201.98/201.88 ! [V_l_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => 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) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_ivl__disj__un_I13_J,axiom,
% 201.98/201.88 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_ivl__disj__un_I12_J,axiom,
% 201.98/201.88 ! [V_u_2,V_l_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Min_Ohom__commute,axiom,
% 201.98/201.88 ! [V_N_2,V_h_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( ! [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))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Inf__fin_Ohom__commute,axiom,
% 201.98/201.88 ! [V_N_2,V_h_2,T_b] :
% 201.98/201.88 ( class_Lattices_Olattice(T_b)
% 201.98/201.88 => ( ! [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))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sup__fin_Ohom__commute,axiom,
% 201.98/201.88 ! [V_N_2,V_h_2,T_b] :
% 201.98/201.88 ( class_Lattices_Olattice(T_b)
% 201.98/201.88 => ( ! [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))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_hom__fold1__commute,axiom,
% 201.98/201.88 ! [V_N_2,V_h_2,T_b] :
% 201.98/201.88 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.98/201.88 => ( ! [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))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equiv__intrel__iff,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2] :
% 201.98/201.88 ( 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))))
% 201.98/201.88 <=> 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 201.98/201.88 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 201.98/201.88 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.88 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.98/201.88 => ( V_A_2 = V_B_2
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.98/201.88 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 201.98/201.88 => 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) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__Un,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__empty,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__UN,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__Int__subset,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__mono,axiom,
% 201.98/201.88 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Un__Image,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__Id__on,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__INT__subset,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rev__ImageI,axiom,
% 201.98/201.88 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__iff,axiom,
% 201.98/201.88 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 201.98/201.88 <=> ? [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.88 & 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__eq__UN,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__singleton__iff,axiom,
% 201.98/201.88 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 201.98/201.88 ( 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))))))
% 201.98/201.88 <=> 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_of__int,axiom,
% 201.98/201.88 ! [V_j_2,V_i_2,T_b] :
% 201.98/201.88 ( class_Rings_Oring__1(T_b)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_One__int__def,axiom,
% 201.98/201.88 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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_mult,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Rep__Integ__inverse,axiom,
% 201.98/201.88 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_minus,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Zero__int__def,axiom,
% 201.98/201.88 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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_int__def,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_add,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_nat,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_minus__int__def,axiom,
% 201.98/201.88 ! [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))))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_less,axiom,
% 201.98/201.88 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 201.98/201.88 ( 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)))))))
% 201.98/201.88 <=> 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_le,axiom,
% 201.98/201.88 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 201.98/201.88 ( 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)))))))
% 201.98/201.88 <=> 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_eq__Abs__Integ,axiom,
% 201.98/201.88 ! [V_z_2] :
% 201.98/201.88 ~ ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotient__def,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_ImageE,axiom,
% 201.98/201.88 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 201.98/201.88 => ~ ! [B_x] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotient__is__empty,axiom,
% 201.98/201.88 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotient__is__empty2,axiom,
% 201.98/201.88 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( 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)
% 201.98/201.88 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotient__empty,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotientI,axiom,
% 201.98/201.88 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_singleton__quotient,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equiv__class__nondisjoint,axiom,
% 201.98/201.88 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( 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)))))))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_subset__equiv__class,axiom,
% 201.98/201.88 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( 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))))))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotientE,axiom,
% 201.98/201.88 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 201.98/201.88 ( 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)))
% 201.98/201.88 => ~ ! [B_x] :
% 201.98/201.88 ( 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))))
% 201.98/201.88 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equiv__intrel,axiom,
% 201.98/201.88 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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Union__quotient,axiom,
% 201.98/201.88 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => 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 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equiv__class__self,axiom,
% 201.98/201.88 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.88 => 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)))))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotient__disj,axiom,
% 201.98/201.88 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( V_X_2 = V_Y_2
% 201.98/201.88 | 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equiv__class__eq,axiom,
% 201.98/201.88 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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)))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotient__eqI,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 201.98/201.88 => ( hBOOL(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))
% 201.98/201.88 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotient__eq__iff,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 201.98/201.88 => ( V_X_2 = V_Y_2
% 201.98/201.88 <=> hBOOL(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)) ) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_eq__equiv__class,axiom,
% 201.98/201.88 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 201.98/201.88 ( 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))))
% 201.98/201.88 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_eq__equiv__class__iff,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.98/201.88 => ( 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))))
% 201.98/201.88 <=> hBOOL(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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equiv__class__eq__iff,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( hBOOL(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))
% 201.98/201.88 <=> ( 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))))
% 201.98/201.88 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equiv__class__subset,axiom,
% 201.98/201.88 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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)))))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_eq__equiv__class__iff2,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.98/201.88 => ( 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)
% 201.98/201.88 <=> hBOOL(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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_UN__equiv__class2,axiom,
% 201.98/201.88 ! [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] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 201.98/201.88 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 201.98/201.88 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 201.98/201.88 => 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) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_UN__equiv__class,axiom,
% 201.98/201.88 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.88 => 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) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equivp__equiv,axiom,
% 201.98/201.88 ! [V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 201.98/201.88 <=> 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equivp__transp,axiom,
% 201.98/201.88 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equivp__symp,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equivp__reflp,axiom,
% 201.98/201.88 ! [V_x_2,V_R_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.88 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equivp__def,axiom,
% 201.98/201.88 ! [V_R_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.88 <=> ! [B_x,B_y] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 201.98/201.88 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_identity__equivp,axiom,
% 201.98/201.88 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_congruent2__implies__congruent,axiom,
% 201.98/201.88 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 201.98/201.88 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.88 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_congruent2D,axiom,
% 201.98/201.88 ! [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] :
% 201.98/201.88 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_congruentD,axiom,
% 201.98/201.88 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_congruent2__implies__congruent__UN,axiom,
% 201.98/201.88 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 201.98/201.88 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 201.98/201.88 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_UN__equiv__class__inject,axiom,
% 201.98/201.88 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 201.98/201.88 => ( 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)
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => ! [B_y] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 201.98/201.88 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 201.98/201.88 => 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)) ) ) )
% 201.98/201.88 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_UN__equiv__class__type2,axiom,
% 201.98/201.88 ! [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] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 201.98/201.88 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 201.98/201.88 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( ! [B_x1] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 201.98/201.88 => ! [B_x2] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 201.98/201.88 => 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)) ) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_UN__equiv__class__type,axiom,
% 201.98/201.88 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Integ__def,axiom,
% 201.98/201.88 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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__quotient__disjoint,axiom,
% 201.98/201.88 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( 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)
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 201.98/201.88 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 201.98/201.88 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.88 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.98/201.88 => ( V_A_2 = V_B_2
% 201.98/201.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.98/201.88 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 201.98/201.88 => 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) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__empty,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__uminus,axiom,
% 201.98/201.88 ! [V_A_2,T_b] :
% 201.98/201.88 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.98/201.88 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__diff,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__Int,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__id2,axiom,
% 201.98/201.88 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__def,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 <=> ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => ! [B_xa] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 201.98/201.88 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 201.98/201.88 => B_x = B_xa ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__contraD,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( V_x_2 != V_y_2
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.98/201.88 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__iff,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.98/201.88 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.98/201.88 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__onD,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.98/201.88 => V_x_2 = V_y_2 ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_subset__inj__on,axiom,
% 201.98/201.88 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.88 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__eq,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.98/201.88 <=> V_x_2 = V_y_2 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_injD,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.98/201.88 => V_x_2 = V_y_2 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__fun,axiom,
% 201.98/201.88 ! [T_d,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__imageD,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 201.98/201.88 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__image__eq__iff,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => ( 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)
% 201.98/201.88 <=> V_A_2 = V_B_2 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => ( 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)
% 201.98/201.88 <=> V_A_2 = V_B_2 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__image,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => 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) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__strict__subset,axiom,
% 201.98/201.88 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__image__mem__iff,axiom,
% 201.98/201.88 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_range__ex1__eq,axiom,
% 201.98/201.88 ! [V_b_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => ( 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)))))
% 201.98/201.88 <=> ? [B_x] :
% 201.98/201.88 ( V_b_2 = hAPP(V_f_2,B_x)
% 201.98/201.88 & ! [B_y] :
% 201.98/201.88 ( V_b_2 = hAPP(V_f_2,B_y)
% 201.98/201.88 => B_y = B_x ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__iff__surj,axiom,
% 201.98/201.88 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 201.98/201.88 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => ( ? [B_f] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 201.98/201.88 & 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)) )
% 201.98/201.88 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_endo__inj__surj,axiom,
% 201.98/201.88 ! [V_f_2,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 201.98/201.88 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__surj__inj,axiom,
% 201.98/201.88 ! [V_f_2,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__UNIV__surj__inj,axiom,
% 201.98/201.88 ! [V_f_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__UNIV__inj__surj,axiom,
% 201.98/201.88 ! [V_f_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.98/201.88 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__image__subset__iff,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__image__Int,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_image__Int,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_eq__card__imp__inj__on,axiom,
% 201.98/201.88 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( 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)
% 201.98/201.88 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__iff__eq__card,axiom,
% 201.98/201.88 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 <=> 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__image__set__diff,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_image__set__diff,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_pigeonhole,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( 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)))
% 201.98/201.88 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__fun__updI,axiom,
% 201.98/201.88 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__singleton,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Rep__Integ,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__bij__eq,axiom,
% 201.98/201.88 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.98/201.88 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__image__Compl__subset,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => 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)))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__insert,axiom,
% 201.98/201.88 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 201.98/201.88 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 & ~ 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))))))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__Un,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.98/201.88 & 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__inj__on__le,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.98/201.88 => 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))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__iff__card__le,axiom,
% 201.98/201.88 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.98/201.88 => ( ? [B_f] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 201.98/201.88 & 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)) )
% 201.98/201.88 <=> 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))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_quotient__diff1,axiom,
% 201.98/201.88 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 201.98/201.88 ( 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)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_image__INT,axiom,
% 201.98/201.88 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 201.98/201.88 => 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)) )
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_type__definition__Integ,axiom,
% 201.98/201.88 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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_the__inv__into__into,axiom,
% 201.98/201.88 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__Suc,axiom,
% 201.98/201.88 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__add__nat,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__of__nat,axiom,
% 201.98/201.88 ! [T_b] :
% 201.98/201.88 ( class_Nat_Osemiring__char__0(T_b)
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__int,axiom,
% 201.98/201.88 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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_swap__inj__on,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_the__inv__into__f__eq,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_the__inv__into__f__f,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 => 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 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_the__inv__f__f,axiom,
% 201.98/201.88 ! [V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => 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 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__the__inv__into,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_the__inv__into__onto,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => 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 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_f__the__inv__into__f,axiom,
% 201.98/201.88 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.98/201.88 => 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 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_type__definition_OAbs__image,axiom,
% 201.98/201.88 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.98/201.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_type__definition_ORep__range,axiom,
% 201.98/201.88 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.98/201.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.98/201.88 => 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 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_type__definition_ORep,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.98/201.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_type__definition_ORep__inverse,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.98/201.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.98/201.88 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_type__definition_ORep__inject,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.98/201.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.98/201.88 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 201.98/201.88 <=> V_x_2 = V_y_2 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_type__definition_OAbs__inject,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.98/201.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 201.98/201.88 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 201.98/201.88 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_type__definition_OAbs__inverse,axiom,
% 201.98/201.88 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.98/201.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 201.98/201.88 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_accp__acc__eq,axiom,
% 201.98/201.88 ! [V_x_2,V_r_2,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_max__extp_Oequations,axiom,
% 201.98/201.88 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 201.98/201.88 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 201.98/201.88 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 201.98/201.88 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 & ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 201.98/201.88 => ? [B_xa] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 201.98/201.88 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_max__ext_Ointros,axiom,
% 201.98/201.88 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 201.98/201.88 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 201.98/201.88 => ? [B_xa] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 201.98/201.88 & 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)) ) )
% 201.98/201.88 => 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))) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_acc__subset,axiom,
% 201.98/201.88 ! [V_R2_2,V_R1_2,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_acc__downward,axiom,
% 201.98/201.88 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_acc_Osimps,axiom,
% 201.98/201.88 ! [V_r_2,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.98/201.88 <=> ! [B_x] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__Inter,axiom,
% 201.98/201.88 ! [V_f_2,T_c,T_b,V_S_2] :
% 201.98/201.88 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 201.98/201.88 => ( ! [B_A] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 201.98/201.88 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_the__elem__def,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_split__paired__The,axiom,
% 201.98/201.88 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_The__split__eq,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_the__inv__into__def,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fold__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_divmod__nat__def,axiom,
% 201.98/201.88 ! [V_n_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_n_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_n_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fold1__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_The__split,axiom,
% 201.98/201.88 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nitpick_Oone__frac__def,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nitpick_Ofrac__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_flat__lub__def,axiom,
% 201.98/201.88 ! [V_b_2,V_A_2,T_b] :
% 201.98/201.88 ( ( 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)))))
% 201.98/201.88 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 201.98/201.88 & ( ~ 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)))))
% 201.98/201.88 => 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)))))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__vimage__singleton,axiom,
% 201.98/201.88 ! [V_a_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => 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))))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 201.98/201.88 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 201.98/201.88 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.98/201.88 => ( ! [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))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimageI,axiom,
% 201.98/201.88 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 201.98/201.88 ( hAPP(V_f_2,V_a_2) = V_b_2
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimageI2,axiom,
% 201.98/201.88 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimageD,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__eq,axiom,
% 201.98/201.88 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 201.98/201.88 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__Diff,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__Int,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__INT,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__Un,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__empty,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__code,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 201.98/201.88 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__Compl,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__ident,axiom,
% 201.98/201.88 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__mono,axiom,
% 201.98/201.88 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__UN,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__UNIV,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_image__vimage__subset,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_surj__image__vimage__eq,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_b,T_c] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => 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 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__Union,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__singleton__eq,axiom,
% 201.98/201.88 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 201.98/201.88 ( 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))))))
% 201.98/201.88 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__insert,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__vimageD,axiom,
% 201.98/201.88 ! [V_F_2,V_h_2,T_c,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__subsetD,axiom,
% 201.98/201.88 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_image__vimage__eq,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__vimageI,axiom,
% 201.98/201.88 ! [V_h_2,T_c,V_F_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.98/201.88 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__vimage__image__eq,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => 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 ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__const,axiom,
% 201.98/201.88 ! [T_c,V_A_2,V_ca_2,T_b] :
% 201.98/201.88 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.98/201.88 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 201.98/201.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.98/201.88 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__eq__UN,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__subsetI,axiom,
% 201.98/201.88 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__if,axiom,
% 201.98/201.88 ! [V_B_2,T_c,V_d_2,V_A_2,V_ca_2,T_b] :
% 201.98/201.88 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.98/201.88 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 201.98/201.88 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 201.98/201.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 201.98/201.88 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 201.98/201.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 201.98/201.88 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 201.98/201.88 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 201.98/201.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 201.98/201.88 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_image__split__eq__Sigma,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Rep__Integ__induct,axiom,
% 201.98/201.88 ! [V_Pa_2,V_y_2] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 201.98/201.88 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 201.98/201.88 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Rep__Integ__cases,axiom,
% 201.98/201.88 ! [V_y_2] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 201.98/201.88 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_SigmaI,axiom,
% 201.98/201.88 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__empty1,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__Union,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__Diff__distrib1,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Times__Diff__distrib1,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__Diff__distrib2,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Times__eq__cancel2,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 201.98/201.88 => ( 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))
% 201.98/201.88 <=> V_A_2 = V_B_2 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__cartesian__product,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__cartesian__product,axiom,
% 201.98/201.88 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__empty2,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Times__empty,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Compl__Times__UNIV1,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Compl__Times__UNIV2,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setprod__cartesian__product,axiom,
% 201.98/201.88 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__Un__distrib1,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Times__Un__distrib1,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__Un__distrib2,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_swap__product,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__cartesian__product,axiom,
% 201.98/201.88 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.98/201.88 => 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)))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_equiv__type,axiom,
% 201.98/201.88 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.88 => 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)))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__Int__distrib2,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Times__Int__distrib1,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__Int__distrib1,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Id__on__subset__Times,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_UNIV__Times__UNIV,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_mem__Sigma__iff,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.88 ( 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)))
% 201.98/201.88 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.88 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_SigmaD1,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.88 ( 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)))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_SigmaD2,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.88 ( 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)))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_SigmaE2,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.88 ( 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)))
% 201.98/201.88 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.88 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__cartesian__product__singleton,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Times__subset__cancel2,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 201.98/201.88 => ( 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))))
% 201.98/201.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__subset,axiom,
% 201.98/201.88 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 201.98/201.88 ( 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))))
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__cartesian__productD1,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.88 ( 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))))
% 201.98/201.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__cartesian__productD2,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.98/201.88 ( 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))))
% 201.98/201.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fst__image__times,axiom,
% 201.98/201.88 ! [V_A_2,T_c,T_b,V_B_2] :
% 201.98/201.88 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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)) )
% 201.98/201.88 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_snd__image__times,axiom,
% 201.98/201.88 ! [V_B_2,T_c,T_b,V_A_2] :
% 201.98/201.88 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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)) )
% 201.98/201.88 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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 ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_insert__times__insert,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__equiv__class,axiom,
% 201.98/201.88 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( 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))))
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_UN__Times__distrib,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Sigma__def,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__quotient,axiom,
% 201.98/201.88 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( 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))))
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 201.98/201.88 ! [V_A_2,V_I_2,T_c,T_b] :
% 201.98/201.88 ? [B_f] :
% 201.98/201.88 ( 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))
% 201.98/201.88 & 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fold__image__Sigma,axiom,
% 201.98/201.88 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__SigmaI,axiom,
% 201.98/201.88 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( ! [B_a] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setprod__Sigma,axiom,
% 201.98/201.88 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__Sigma,axiom,
% 201.98/201.88 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__SigmaI,axiom,
% 201.98/201.88 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_SigmaE,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_ca_2,T_c,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 201.98/201.88 => ~ ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => ! [B_y] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 201.98/201.88 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_map__pair__surj,axiom,
% 201.98/201.88 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_map__pair__inj__on,axiom,
% 201.98/201.88 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.88 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_map__pair__imageI,axiom,
% 201.98/201.88 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_map__pair__simp,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fst__map__pair,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_snd__prod__fun,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_map__pair__ident,axiom,
% 201.98/201.88 ! [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 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_map__pair__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_map__pair__surj__on,axiom,
% 201.98/201.88 ! [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] :
% 201.98/201.88 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 201.98/201.88 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_prod__fun__imageE,axiom,
% 201.98/201.88 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_ca_2,T_c,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2)))
% 201.98/201.88 => ~ ! [B_x,B_y] :
% 201.98/201.88 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 201.98/201.88 => ~ 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_refl__on__def,axiom,
% 201.98/201.88 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.88 <=> ( 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))))
% 201.98/201.88 & ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__INTER,axiom,
% 201.98/201.88 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 201.98/201.88 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => ( ! [B_i] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 201.98/201.88 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_refl__on__Id__on,axiom,
% 201.98/201.88 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_refl__on__empty,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_refl__on__Un,axiom,
% 201.98/201.88 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_refl__on__Int,axiom,
% 201.98/201.88 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_refl__onD2,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( hBOOL(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))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_refl__onD1,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( hBOOL(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))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_refl__onD,axiom,
% 201.98/201.88 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 201.98/201.88 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_refl__onI,axiom,
% 201.98/201.88 ! [V_A_2,V_r_2,T_b] :
% 201.98/201.88 ( 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))))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.88 => 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)) )
% 201.98/201.88 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__less__Suc2,axiom,
% 201.98/201.88 ! [V_i_2,V_M_2] :
% 201.98/201.88 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 201.98/201.88 => 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))))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__less,axiom,
% 201.98/201.88 ! [V_i_2,V_M_2] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 201.98/201.88 => 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) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_CollectI,axiom,
% 201.98/201.88 ! [T_b,V_a_2,V_Pa_2] :
% 201.98/201.88 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__Collect__conjI,axiom,
% 201.98/201.88 ! [V_Qa_2,V_Pa_2,T_b] :
% 201.98/201.88 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 201.98/201.88 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) )
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__Collect__less__nat,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__Collect__le__nat,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_CollectE,axiom,
% 201.98/201.88 ! [V_Pa_2,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 201.98/201.88 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_CollectD,axiom,
% 201.98/201.88 ! [V_Pa_2,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 201.98/201.88 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_mem__Collect__eq,axiom,
% 201.98/201.88 ! [V_Pa_2,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 201.98/201.88 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__mem__eq,axiom,
% 201.98/201.88 ! [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 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__conj__eq,axiom,
% 201.98/201.88 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__disj__eq,axiom,
% 201.98/201.88 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_insert__Collect,axiom,
% 201.98/201.88 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_empty__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__Collect__disjI,axiom,
% 201.98/201.88 ! [V_Qa_2,V_Pa_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2))))
% 201.98/201.88 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 201.98/201.88 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_empty__Collect__eq,axiom,
% 201.98/201.88 ! [V_Pa_2,T_b] :
% 201.98/201.88 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 201.98/201.88 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__empty__eq,axiom,
% 201.98/201.88 ! [V_Pa_2,T_b] :
% 201.98/201.88 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__def,axiom,
% 201.98/201.88 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_UNIV__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__Collect__eq,axiom,
% 201.98/201.88 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__neg__eq,axiom,
% 201.98/201.88 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__split,axiom,
% 201.98/201.88 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Qa_2))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_SetCompr__Sigma__eq,axiom,
% 201.98/201.88 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Qa_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_insert__compr,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_insert__compr__raw,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Un__def,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Int__def,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Int__Collect,axiom,
% 201.98/201.88 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))))
% 201.98/201.88 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.88 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_singleton__conv2,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_singleton__conv,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__conv__if2,axiom,
% 201.98/201.88 ! [T_b,V_a_2,V_Pa_2] :
% 201.98/201.88 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 201.98/201.88 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 201.98/201.88 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 201.98/201.88 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__conv__if,axiom,
% 201.98/201.88 ! [T_b,V_a_2,V_Pa_2] :
% 201.98/201.88 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 201.98/201.88 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 201.98/201.88 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 201.98/201.88 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_set__diff__eq,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__Collect__not,axiom,
% 201.98/201.88 ! [V_Pa_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))))
% 201.98/201.88 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_insert__def,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Compl__eq,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Collect__imp__eq,axiom,
% 201.98/201.88 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__M__bounded__by__nat,axiom,
% 201.98/201.88 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__setsum__restrict,axiom,
% 201.98/201.88 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 201.98/201.88 => 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) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_if__image__distrib,axiom,
% 201.98/201.88 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_nat__seg__image__imp__finite,axiom,
% 201.98/201.88 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 201.98/201.88 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2)))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__restrict__set_H,axiom,
% 201.98/201.88 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => 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) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__image__gen,axiom,
% 201.98/201.88 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Image__singleton,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__cases,axiom,
% 201.98/201.88 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_card__less__Suc,axiom,
% 201.98/201.88 ! [V_i_2,V_M_2] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 201.98/201.88 => 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))))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__multicount,axiom,
% 201.98/201.88 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 201.98/201.88 => 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 )
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.98/201.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))))) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__Collect__subsets,axiom,
% 201.98/201.88 ! [V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => 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)))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Pow__Compl,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Pow__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__Collect__bounded__ex,axiom,
% 201.98/201.88 ! [V_Qa_2,T_c,V_Pa_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2)))))
% 201.98/201.88 <=> ! [B_y] :
% 201.98/201.88 ( hBOOL(hAPP(V_Pa_2,B_y))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Qa_2),B_y)))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__image__set,axiom,
% 201.98/201.88 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__graph,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 201.98/201.88 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__psubset__def,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inv__image__def,axiom,
% 201.98/201.88 ! [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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 201.98/201.88 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 201.98/201.88 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_add__Min__commute,axiom,
% 201.98/201.88 ! [V_k_2,V_N_2,T_b] :
% 201.98/201.88 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_add__Max__commute,axiom,
% 201.98/201.88 ! [V_k_2,V_N_2,T_b] :
% 201.98/201.88 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.98/201.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_sup__Inf1__distrib,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2,T_b] :
% 201.98/201.88 ( class_Lattices_Odistrib__lattice(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_sup__Inf2__distrib,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,T_b] :
% 201.98/201.88 ( class_Lattices_Odistrib__lattice(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.98/201.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))))) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inf__Sup1__distrib,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2,T_b] :
% 201.98/201.88 ( class_Lattices_Odistrib__lattice(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inf__Sup2__distrib,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,T_b] :
% 201.98/201.88 ( class_Lattices_Odistrib__lattice(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.98/201.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))))) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 201.98/201.88 ! [V_x_2,V_A_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,T_b] :
% 201.98/201.88 ( class_Orderings_Olinorder(T_b)
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.98/201.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 => 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))))))) ) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Nitpick_Oprod__def,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_int__ge__less__than__def,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_int__ge__less__than2__def,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_reflp__def,axiom,
% 201.98/201.88 ! [V_r_2,T_b] :
% 201.98/201.88 ( c_Predicate_Oreflp(T_b,V_r_2)
% 201.98/201.88 <=> 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 201.98/201.88 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 201.98/201.88 ( class_Rings_Osemiring__0(T_d)
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => 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))))))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__multicount__gen,axiom,
% 201.98/201.88 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 201.98/201.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 201.98/201.88 => ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 201.98/201.88 => 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) )
% 201.98/201.88 => 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) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_inj__on__id,axiom,
% 201.98/201.88 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_map__pair_Oid,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_map__pair_Oidentity,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_vimage__id,axiom,
% 201.98/201.88 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_id__apply,axiom,
% 201.98/201.88 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 201.98/201.88
% 201.98/201.88 fof(fact_id__def,axiom,
% 201.98/201.88 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_reflpE,axiom,
% 201.98/201.88 ! [V_x_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Predicate_Oreflp(T_b,V_r_2)
% 201.98/201.88 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_apsnd__id,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_apfst__id,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_image__id,axiom,
% 201.98/201.88 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_of__int__eq__id,axiom,
% 201.98/201.88 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_surj__id,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_apsnd__def,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_apfst__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_split__Pair,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setsum__reindex__id,axiom,
% 201.98/201.88 ! [V_B_2,V_f_2,T_b,T_c] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.88 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_setprod__reindex__id,axiom,
% 201.98/201.88 ! [V_B_2,V_f_2,T_b,T_c] :
% 201.98/201.88 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.98/201.88 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__conv__nat__seg__image,axiom,
% 201.98/201.88 ! [V_A_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.88 <=> ? [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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__comp__def,axiom,
% 201.98/201.88 ! [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))))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__Collect__split,axiom,
% 201.98/201.88 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__compI,axiom,
% 201.98/201.88 ! [V_s_2,V_ca_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_ca_2)),V_s_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_RangeI,axiom,
% 201.98/201.88 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__comp__distrib2,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__comp__distrib,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__Id__on,axiom,
% 201.98/201.88 ! [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 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_O__assoc,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__comp__empty2,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__comp__empty1,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__comp__mono,axiom,
% 201.98/201.88 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__comp__UNION__distrib2,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__comp__UNION__distrib,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_union__comp__emptyL,axiom,
% 201.98/201.88 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_union__comp__emptyR,axiom,
% 201.98/201.88 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__Union,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__empty,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__empty__iff,axiom,
% 201.98/201.88 ! [V_r_2,T_b,T_c] :
% 201.98/201.88 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_rel__comp__subset__Sigma,axiom,
% 201.98/201.88 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 201.98/201.88 ( 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))))
% 201.98/201.88 => ( 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))))
% 201.98/201.88 => 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)))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__Un__eq,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__Range,axiom,
% 201.98/201.88 ! [V_r_2,T_c,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_snd__eq__Range,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__iff,axiom,
% 201.98/201.88 ! [V_r_2,T_c,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 201.98/201.88 <=> ? [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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__insert,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__Int__subset,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Range__Diff__subset,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_max__ext__compat,axiom,
% 201.98/201.88 ! [V_S_2,V_R_2,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_min__ext__compat,axiom,
% 201.98/201.88 ! [V_S_2,V_R_2,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_RangeP__Range__eq,axiom,
% 201.98/201.88 ! [V_x_2,V_r_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_RangeE,axiom,
% 201.98/201.88 ! [V_r_2,T_c,V_b_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 201.98/201.88 => ~ ! [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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_pred__comp__rel__comp__eq,axiom,
% 201.98/201.88 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 <=> 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_pred__comp_Ointros,axiom,
% 201.98/201.88 ! [T_d,T_c,T_b,V_ca_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_ca_2))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_ca_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_RangeP_Ointros,axiom,
% 201.98/201.88 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.98/201.88 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_RangeP_Oequations,axiom,
% 201.98/201.88 ! [V_a2_2,V_r_2,T_c,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 201.98/201.88 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_pred__comp_Oequations,axiom,
% 201.98/201.88 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 <=> ? [B_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 201.98/201.88 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_reduction__pairI,axiom,
% 201.98/201.88 ! [V_S_2,V_R_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__Collect__split,axiom,
% 201.98/201.88 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_the__eq__trivial,axiom,
% 201.98/201.88 ! [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 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__less__than,axiom,
% 201.98/201.88 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__empty,axiom,
% 201.98/201.88 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__inv__image,axiom,
% 201.98/201.88 ! [V_f_2,T_c,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__lex__prod,axiom,
% 201.98/201.88 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 201.98/201.88 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 201.98/201.88 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__measure,axiom,
% 201.98/201.88 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_DomainI,axiom,
% 201.98/201.88 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__comp__self,axiom,
% 201.98/201.88 ! [V_R_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.98/201.88 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__subset,axiom,
% 201.98/201.88 ! [V_p_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_min__ext__wf,axiom,
% 201.98/201.88 ! [V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__mlex,axiom,
% 201.98/201.88 ! [V_f_2,V_R_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.98/201.88 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__Int2,axiom,
% 201.98/201.88 ! [V_r_H_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__Int1,axiom,
% 201.98/201.88 ! [V_r_H_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__pair__less,axiom,
% 201.98/201.88 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_max__ext__wf,axiom,
% 201.98/201.88 ! [V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__Id__on,axiom,
% 201.98/201.88 ! [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 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__finite__psubset,axiom,
% 201.98/201.88 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__less,axiom,
% 201.98/201.88 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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__not__refl,axiom,
% 201.98/201.88 ! [V_a_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => ~ 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__not__sym,axiom,
% 201.98/201.88 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => ~ hBOOL(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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__asym,axiom,
% 201.98/201.88 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => ~ hBOOL(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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__irrefl,axiom,
% 201.98/201.88 ! [V_a_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => ~ 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__int__ge__less__than2,axiom,
% 201.98/201.88 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__int__ge__less__than,axiom,
% 201.98/201.88 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__Un,axiom,
% 201.98/201.88 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__acc__iff,axiom,
% 201.98/201.88 ! [V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_acc__wfD,axiom,
% 201.98/201.88 ! [V_x_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__no__loop,axiom,
% 201.98/201.88 ! [V_R_2,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__union__merge,axiom,
% 201.98/201.88 ! [V_S_2,V_R_2,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 <=> 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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__empty,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__empty__iff,axiom,
% 201.98/201.88 ! [V_r_2,T_c,T_b] :
% 201.98/201.88 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.88 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__mono,axiom,
% 201.98/201.88 ! [V_s_2,V_r_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 => 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))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__Un__eq,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_finite__Domain,axiom,
% 201.98/201.88 ! [V_r_2,T_c,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 201.98/201.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_fst__eq__Domain,axiom,
% 201.98/201.88 ! [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) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 201.98/201.88 ! [V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 <=> ~ ? [B_f] :
% 201.98/201.88 ! [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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wfE__pf,axiom,
% 201.98/201.88 ! [V_A_2,V_R_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.98/201.88 => ( 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)))
% 201.98/201.88 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__union__compatible,axiom,
% 201.98/201.88 ! [V_S_2,V_R_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.98/201.88 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 201.98/201.88 => ( 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))
% 201.98/201.88 => 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)) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__iff,axiom,
% 201.98/201.88 ! [V_r_2,T_c,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 201.98/201.88 <=> ? [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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf,axiom,
% 201.98/201.88 ! [T_b] :
% 201.98/201.88 ( class_Orderings_Owellorder(T_b)
% 201.98/201.88 => 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)))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__insert,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_reduction__pair__def,axiom,
% 201.98/201.88 ! [V_Pa_2,T_b] :
% 201.98/201.88 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 201.98/201.88 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))
% 201.98/201.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_reduction__pair__lemma,axiom,
% 201.98/201.88 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 201.98/201.88 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 201.98/201.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 201.98/201.88 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 201.98/201.88 => 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)) ) ) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__Int__subset,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__Diff__subset,axiom,
% 201.98/201.88 ! [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)))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Field__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__map__pair__image,axiom,
% 201.98/201.88 ! [V_f_2,T_c,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.88 => 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)) ) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_Domain__Union,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_the__sym__eq__trivial,axiom,
% 201.98/201.88 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 201.98/201.88
% 201.98/201.88 fof(fact_DomainP__Domain__eq,axiom,
% 201.98/201.88 ! [V_x_2,V_r_2,T_c,T_b] :
% 201.98/201.88 ( 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))
% 201.98/201.88 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__lenlex,axiom,
% 201.98/201.88 ! [V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_DomainE,axiom,
% 201.98/201.88 ! [V_r_2,T_c,V_a_2,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 201.98/201.88 => ~ ! [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)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_DomainP_Ointros,axiom,
% 201.98/201.88 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 201.98/201.88 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.98/201.88 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_DomainP_Oequations,axiom,
% 201.98/201.88 ! [V_a1_2,V_r_2,T_c,T_b] :
% 201.98/201.88 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 201.98/201.88 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_pred__nat__def,axiom,
% 201.98/201.88 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))) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__lex,axiom,
% 201.98/201.88 ! [V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__lexn,axiom,
% 201.98/201.88 ! [V_n_2,V_r_2,T_b] :
% 201.98/201.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.88 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_lex__def,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_lexn_Osimps_I1_J,axiom,
% 201.98/201.88 ! [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)) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__pred__nat,axiom,
% 201.98/201.88 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__same__fst,axiom,
% 201.98/201.88 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 201.98/201.88 ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.88 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 201.98/201.88 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wf__if__measure,axiom,
% 201.98/201.88 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 201.98/201.88 ( ! [B_x] :
% 201.98/201.88 ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.88 => 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))) )
% 201.98/201.88 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ).
% 201.98/201.88
% 201.98/201.88 fof(fact_wfP__def,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.98/201.89 <=> 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wfP__empty,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_accp__wfPD,axiom,
% 201.98/201.89 ! [V_x_2,V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.98/201.89 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wfP__accp__iff,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.98/201.89 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wfP__subset,axiom,
% 201.98/201.89 ! [V_p_2,V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.98/201.89 => ( 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))
% 201.98/201.89 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wf__in__rel,axiom,
% 201.98/201.89 ! [V_R_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.98/201.89 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wfP__wf__eq,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wfP__acyclicP,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_pigeonhole__infinite,axiom,
% 201.98/201.89 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.98/201.89 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.98/201.89 => ? [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.89 & ~ 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)))))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_refl__on__def_H,axiom,
% 201.98/201.89 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.89 <=> ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 201.98/201.89 => 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)) )
% 201.98/201.89 & ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.89 => 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_ball__empty,axiom,
% 201.98/201.89 ! [V_Pa_2,T_b,B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 201.98/201.89 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wf__acyclic,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.89 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_acyclic__subset,axiom,
% 201.98/201.89 ! [V_r_2,V_s_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 201.98/201.89 => ( 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))
% 201.98/201.89 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Powp__def,axiom,
% 201.98/201.89 ! [V_B_2,V_A_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 201.98/201.89 <=> ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 201.98/201.89 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_INFI__bool__eq,axiom,
% 201.98/201.89 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Collect__ball__eq,axiom,
% 201.98/201.89 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_congruent__def,axiom,
% 201.98/201.89 ! [V_f_2,V_r_2,T_c,T_b] :
% 201.98/201.89 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 201.98/201.89 <=> ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_INTER__def,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.98/201.89 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.89 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_finite__acyclic__wf,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.98/201.89 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.98/201.89 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Sup__Inf,axiom,
% 201.98/201.89 ! [V_A_2,T_b] :
% 201.98/201.89 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.89 => 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)))))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Inf__Sup,axiom,
% 201.98/201.89 ! [V_A_2,T_b] :
% 201.98/201.89 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.89 => 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))))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Owf_H__def,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 201.98/201.89 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.98/201.89 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.98/201.89 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Abs__Integ__cases,axiom,
% 201.98/201.89 ! [V_x_2] :
% 201.98/201.89 ~ ! [B_y] :
% 201.98/201.89 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 201.98/201.89 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Abs__Integ__induct,axiom,
% 201.98/201.89 ! [V_x_2,V_Pa_2] :
% 201.98/201.89 ( ! [B_y] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 201.98/201.89 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 201.98/201.89 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Inter__eq,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_finite__UN__I,axiom,
% 201.98/201.89 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( ! [B_a] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.98/201.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_inj__on__diff__nat,axiom,
% 201.98/201.89 ! [V_k_2,V_N_2] :
% 201.98/201.89 ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wfP__SUP,axiom,
% 201.98/201.89 ! [T_b,V_r_2,T_c] :
% 201.98/201.89 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 201.98/201.89 => ( ! [B_i,B_j] :
% 201.98/201.89 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 201.98/201.89 => 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)) )
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_mem__splitI2,axiom,
% 201.98/201.89 ! [V_ca_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 201.98/201.89 ( ! [B_a,B_b] :
% 201.98/201.89 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) )
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_ca_2),V_p_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_mem__splitE,axiom,
% 201.98/201.89 ! [V_p_2,V_ca_2,T_d,T_c,V_z_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_ca_2),V_p_2)))
% 201.98/201.89 => ~ ! [B_x,B_y] :
% 201.98/201.89 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 201.98/201.89 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_vimage__Times,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_id__o,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_o__id,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_o__eq__id__dest,axiom,
% 201.98/201.89 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 201.98/201.89 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_ca_2)
% 201.98/201.89 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_map__pair_Ocompositionality,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_map__pair__compose,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_map__pair_Ocomp,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_vimage__compose,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_o__assoc,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_o__apply,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_o__eq__dest,axiom,
% 201.98/201.89 ! [V_v_2,V_d_2,V_ca_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 201.98/201.89 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2)
% 201.98/201.89 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_o__eq__elim,axiom,
% 201.98/201.89 ! [V_d_2,V_ca_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 201.98/201.89 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2)
% 201.98/201.89 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_o__def,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_K__record__comp,axiom,
% 201.98/201.89 ! [V_x_2,V_f_2,V_ca_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_f_2),V_x_2) = V_ca_2 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 201.98/201.89 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_comp__cong,axiom,
% 201.98/201.89 ! [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] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 201.98/201.89 ! [V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_o__eq__dest__lhs,axiom,
% 201.98/201.89 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 201.98/201.89 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_ca_2
% 201.98/201.89 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_apsnd__compose,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_apfst__compose,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_fun__upd__comp,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_comp__surj,axiom,
% 201.98/201.89 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( 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))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_image__compose,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_inj__comp,axiom,
% 201.98/201.89 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.89 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_inj__on__imageI2,axiom,
% 201.98/201.89 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 201.98/201.89 ( 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)
% 201.98/201.89 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_inj__on__imageI,axiom,
% 201.98/201.89 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 201.98/201.89 ( 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)
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_comp__inj__on,axiom,
% 201.98/201.89 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.89 => ( 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))
% 201.98/201.89 => 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_comp__inj__on__iff,axiom,
% 201.98/201.89 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.89 => ( 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))
% 201.98/201.89 <=> 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_setsum__reindex,axiom,
% 201.98/201.89 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.98/201.89 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.98/201.89 => 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_setprod__reindex,axiom,
% 201.98/201.89 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.98/201.89 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.98/201.89 => 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_setprod__reindex__cong,axiom,
% 201.98/201.89 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.98/201.89 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.89 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 201.98/201.89 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 201.98/201.89 => 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) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_setsum_Oreindex,axiom,
% 201.98/201.89 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 201.98/201.89 => 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) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_setprod_Oreindex,axiom,
% 201.98/201.89 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 201.98/201.89 => 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) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_the__inv__into__comp,axiom,
% 201.98/201.89 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 201.98/201.89 => ( 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))))
% 201.98/201.89 => 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) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_fold__image__reindex,axiom,
% 201.98/201.89 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 201.98/201.89 ( class_Groups_Oab__semigroup__mult(T_d)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 201.98/201.89 => 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) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Oremove,axiom,
% 201.98/201.89 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.89 => 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding__image_Oreindex,axiom,
% 201.98/201.89 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.98/201.89 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 201.98/201.89 => 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) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Ounion,axiom,
% 201.98/201.89 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.98/201.89 => ( 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))
% 201.98/201.89 => 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)) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 201.98/201.89 ! [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] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Ocommute__comp,axiom,
% 201.98/201.89 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Ocommute__left__comp,axiom,
% 201.98/201.89 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_fst__comp__map__pair,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_UN__o,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_snd__comp__map__pair,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding__image_Odistrib,axiom,
% 201.98/201.89 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_split__comp,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Ocommute__comp_H,axiom,
% 201.98/201.89 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 201.98/201.89 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 201.98/201.89 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.98/201.89 => 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 201.98/201.89 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.98/201.89 => 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Oempty,axiom,
% 201.98/201.89 ! [V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Oeq__fold,axiom,
% 201.98/201.89 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding__image_Oeq__fold,axiom,
% 201.98/201.89 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.98/201.89 => 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Oinsert,axiom,
% 201.98/201.89 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.89 => 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Ounion__inter,axiom,
% 201.98/201.89 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.98/201.89 => 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding_Oinsert__remove,axiom,
% 201.98/201.89 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_hoare__derivs_OIf,axiom,
% 201.98/201.89 ! [V_d_2,V_Qa_2,V_ca_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 201.98/201.89 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2),V_ca_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 201.98/201.89 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)),V_d_2,V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 201.98/201.89 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,c_Com_Ocom_OCond(V_b_2,V_ca_2,V_d_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Loop,axiom,
% 201.98/201.89 ! [V_ca_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 201.98/201.89 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2),V_ca_2,V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 201.98/201.89 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,c_Com_Ocom_OWhile(V_b_2,V_ca_2),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_setsum__reindex__nonzero,axiom,
% 201.98/201.89 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.98/201.89 => ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.98/201.89 => ! [B_y] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 201.98/201.89 => ( B_x != B_y
% 201.98/201.89 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 201.98/201.89 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 201.98/201.89 => 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) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_peek__and__def,axiom,
% 201.98/201.89 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 201.98/201.89 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 201.98/201.89 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding__idem_Ounion__idem,axiom,
% 201.98/201.89 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.98/201.89 => 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 201.98/201.89 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.98/201.89 => 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) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding__idem_Oinsert__idem,axiom,
% 201.98/201.89 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 201.98/201.89 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding__idem_Oidem__comp,axiom,
% 201.98/201.89 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 201.98/201.89 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.98/201.89 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.89 => 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) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_strong__setprod__reindex__cong,axiom,
% 201.98/201.89 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.98/201.89 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.89 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 201.98/201.89 => ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.89 => 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) )
% 201.98/201.89 => 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) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Eps__split,axiom,
% 201.98/201.89 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wfI__pf,axiom,
% 201.98/201.89 ! [V_R_2,T_b] :
% 201.98/201.89 ( ! [B_A] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 201.98/201.89 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_exE__some,axiom,
% 201.98/201.89 ! [T_b,V_ca_2,V_Pa_2] :
% 201.98/201.89 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 201.98/201.89 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 201.98/201.89 => hBOOL(hAPP(V_Pa_2,V_ca_2)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_some__sym__eq__trivial,axiom,
% 201.98/201.89 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_some__eq__trivial,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_some__eq__ex,axiom,
% 201.98/201.89 ! [T_b,V_Pa_2] :
% 201.98/201.89 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 201.98/201.89 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_someI__ex,axiom,
% 201.98/201.89 ! [T_b,V_Pa_2] :
% 201.98/201.89 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 201.98/201.89 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_tfl__some,axiom,
% 201.98/201.89 ! [T_b,B_P] :
% 201.98/201.89 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 201.98/201.89 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_someI,axiom,
% 201.98/201.89 ! [T_b,V_x_2,V_Pa_2] :
% 201.98/201.89 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.89 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_split__paired__Eps,axiom,
% 201.98/201.89 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Eps__split__eq,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Sigma__mono,axiom,
% 201.98/201.89 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.98/201.89 => ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.89 => 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))) )
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_not__acc__down,axiom,
% 201.98/201.89 ! [V_R_2,V_x_2,T_b] :
% 201.98/201.89 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 201.98/201.89 => ~ ! [B_z] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_acc_OaccI,axiom,
% 201.98/201.89 ! [V_r_2,V_x_2,T_b] :
% 201.98/201.89 ( ! [B_y] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_max__ext_Osimps,axiom,
% 201.98/201.89 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 201.98/201.89 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 201.98/201.89 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.89 & ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 201.98/201.89 => ? [B_xa] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 201.98/201.89 & 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)) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 201.98/201.89 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 201.98/201.89 ( class_Orderings_Olinorder(T_b)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_ca_2))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Max__eqI,axiom,
% 201.98/201.89 ! [V_x_2,V_A_2,T_b] :
% 201.98/201.89 ( class_Orderings_Olinorder(T_b)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => ( ! [B_y] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.89 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wf__no__infinite__down__chainE,axiom,
% 201.98/201.89 ! [V_f_2,V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.89 => ~ ! [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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_iterate_Osimps,axiom,
% 201.98/201.89 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 201.98/201.89 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.98/201.89 => 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) )
% 201.98/201.89 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_scomp__apply,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Pair__scomp,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_scomp__scomp,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_scomp__Pair,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_scomp__def,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_scomp__unfold,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_setsum__reindex__cong,axiom,
% 201.98/201.89 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.98/201.89 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.89 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 201.98/201.89 => ( ! [B_a] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.98/201.89 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 201.98/201.89 => 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) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_setsum__ivl__cong,axiom,
% 201.98/201.89 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_ca_2,V_a_2,T_b,T_c] :
% 201.98/201.89 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.89 & class_Orderings_Oord(T_b) )
% 201.98/201.89 => ( V_a_2 = V_ca_2
% 201.98/201.89 => ( V_b_2 = V_d_2
% 201.98/201.89 => ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),B_x))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 201.98/201.89 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 201.98/201.89 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_less__eq,axiom,
% 201.98/201.89 ! [V_n_2,V_m_2] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 201.98/201.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wf__eq__minimal,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.89 <=> ! [B_Q] :
% 201.98/201.89 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 201.98/201.89 => ? [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 201.98/201.89 & ! [B_y] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wf__trancl,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.89 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_less__than__def,axiom,
% 201.98/201.89 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_acyclic__def,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.98/201.89 <=> ! [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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl_Or__into__trancl,axiom,
% 201.98/201.89 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__subset__Field2,axiom,
% 201.98/201.89 ! [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))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_r__into__trancl_H,axiom,
% 201.98/201.89 ! [V_r_2,V_p_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__empty,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__domain,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__range,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_finite__trancl,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 201.98/201.89 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__trans,axiom,
% 201.98/201.89 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 201.98/201.89 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__into__trancl2,axiom,
% 201.98/201.89 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_r__r__into__trancl,axiom,
% 201.98/201.89 ! [V_ca_2,V_R_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_R_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__mono,axiom,
% 201.98/201.89 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 201.98/201.89 => ( 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))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__unfold,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__subset__Sigma,axiom,
% 201.98/201.89 ! [V_A_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => 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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__Int__subset,axiom,
% 201.98/201.89 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( 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))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__insert,axiom,
% 201.98/201.89 ! [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)))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_reflcl__set__eq,axiom,
% 201.98/201.89 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 <=> hBOOL(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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_r__into__rtrancl,axiom,
% 201.98/201.89 ! [V_r_2,V_p_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_IdI,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__into__rtrancl,axiom,
% 201.98/201.89 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__unfold__left,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__unfold__right,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_reflcl__trancl,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__reflcl,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__trancl__absorb,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__rtrancl__absorb,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Domain__rtrancl,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Range__rtrancl,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__r__diff__Id,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__idemp,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__trans,axiom,
% 201.98/201.89 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 201.98/201.89 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 201.98/201.89 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_refl__rtrancl,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__rtrancl__UnI,axiom,
% 201.98/201.89 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 201.98/201.89 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 201.98/201.89 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 201.98/201.89 => 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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Image__closed__trancl,axiom,
% 201.98/201.89 ! [V_X_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__Un__subset,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__reflcl,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__Un__rtrancl,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__reflcl__absorb,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__subset__rtrancl,axiom,
% 201.98/201.89 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__subset,axiom,
% 201.98/201.89 ! [V_S_2,V_R_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( 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)))
% 201.98/201.89 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__mono,axiom,
% 201.98/201.89 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__idemp__self__comp,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_r__comp__rtrancl__eq,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__unfold,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__Int__subset,axiom,
% 201.98/201.89 ! [V_r_2,V_s_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( 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))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__empty,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_R__O__Id,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Id__O__R,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Image__Id,axiom,
% 201.98/201.89 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_pair__in__Id__conv,axiom,
% 201.98/201.89 ! [V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 <=> V_a_2 = V_b_2 ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__trancl__trancl,axiom,
% 201.98/201.89 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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)))
% 201.98/201.89 => ( 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)))
% 201.98/201.89 => hBOOL(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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__rtrancl__trancl,axiom,
% 201.98/201.89 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__into__trancl1,axiom,
% 201.98/201.89 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtranclD,axiom,
% 201.98/201.89 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( V_a_2 = V_b_2
% 201.98/201.89 | ( V_a_2 != V_b_2
% 201.98/201.89 & 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))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__into__trancl2,axiom,
% 201.98/201.89 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__eq__or__trancl,axiom,
% 201.98/201.89 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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)))
% 201.98/201.89 <=> ( V_x_2 = V_y_2
% 201.98/201.89 | ( V_x_2 != V_y_2
% 201.98/201.89 & hBOOL(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))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Domain__Id,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Range__Id,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_refl__Id,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_pair__leq__def,axiom,
% 201.98/201.89 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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Not__Domain__rtrancl,axiom,
% 201.98/201.89 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 201.98/201.89 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 201.98/201.89 => ( hBOOL(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)))
% 201.98/201.89 <=> V_x_2 = V_y_2 ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_acc__downwards__aux,axiom,
% 201.98/201.89 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_acc__downwards,axiom,
% 201.98/201.89 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.98/201.89 => ( 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)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wf__insert,axiom,
% 201.98/201.89 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.98/201.89 & ~ hBOOL(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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_acyclic__insert,axiom,
% 201.98/201.89 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.98/201.89 & ~ hBOOL(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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_refl__reflcl,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Id__def,axiom,
% 201.98/201.89 ! [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))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_irrefl__diff__Id,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_pred__nat__trancl__eq__le,axiom,
% 201.98/201.89 ! [V_n_2,V_m_2] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 201.98/201.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__subset__Sigma__aux,axiom,
% 201.98/201.89 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( 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))))
% 201.98/201.89 => ( V_a_2 = V_b_2
% 201.98/201.89 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_irrefl__tranclI,axiom,
% 201.98/201.89 ! [V_x_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ~ hBOOL(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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_sequence__trans,axiom,
% 201.98/201.89 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 201.98/201.89 ( ! [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)))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__converse,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__Id,axiom,
% 201.98/201.89 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_acyclic__converse,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.98/201.89 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__Id__on,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__inv__image,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_finite__converse,axiom,
% 201.98/201.89 ! [V_r_2,T_c,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 201.98/201.89 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__converse,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Field__converse,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__Int,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_refl__on__converse,axiom,
% 201.98/201.89 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.89 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.98/201.89 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__Un,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__rel__comp,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__iff,axiom,
% 201.98/201.89 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 <=> 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converseI,axiom,
% 201.98/201.89 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converseD,axiom,
% 201.98/201.89 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__UNION,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__INTER,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__converse,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wf__converse__trancl,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.98/201.89 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_equiv__comp__eq,axiom,
% 201.98/201.89 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.89 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.89 => 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 ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Range__def,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Domain__converse,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Range__converse,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__converseI,axiom,
% 201.98/201.89 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => hBOOL(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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__converseD,axiom,
% 201.98/201.89 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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))))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__converseI,axiom,
% 201.98/201.89 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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))))
% 201.98/201.89 => hBOOL(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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__converseD,axiom,
% 201.98/201.89 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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))))
% 201.98/201.89 => hBOOL(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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Image__subset__eq,axiom,
% 201.98/201.89 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 <=> 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))))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_refl__on__comp__subset,axiom,
% 201.98/201.89 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_comp__equivI,axiom,
% 201.98/201.89 ! [V_A_2,V_r_2,T_b] :
% 201.98/201.89 ( 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
% 201.98/201.89 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 201.98/201.89 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_finite__acyclic__wf__converse,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.98/201.89 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.98/201.89 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converse__def,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Image__INT__eq,axiom,
% 201.98/201.89 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 201.98/201.89 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 201.98/201.89 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_total__on__diff__Id,axiom,
% 201.98/201.89 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_single__valued__Id,axiom,
% 201.98/201.89 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_single__valued__rel__comp,axiom,
% 201.98/201.89 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 201.98/201.89 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 201.98/201.89 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_single__valued__subset,axiom,
% 201.98/201.89 ! [V_s_2,V_r_2,T_c,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 201.98/201.89 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_single__valued__Id__on,axiom,
% 201.98/201.89 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_total__on__empty,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_total__on__converse,axiom,
% 201.98/201.89 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.89 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.98/201.89 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_single__valuedD,axiom,
% 201.98/201.89 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 201.98/201.89 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 201.98/201.89 => ( 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))
% 201.98/201.89 => ( 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))
% 201.98/201.89 => V_y_2 = V_z_2 ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_single__valued__def,axiom,
% 201.98/201.89 ! [V_r_2,T_c,T_b] :
% 201.98/201.89 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 201.98/201.89 <=> ! [B_x,B_y] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ! [B_z] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => B_y = B_z ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_total__on__def,axiom,
% 201.98/201.89 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.89 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 201.98/201.89 <=> ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.89 => ! [B_xa] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 201.98/201.89 => ( B_x != B_xa
% 201.98/201.89 => ( 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))
% 201.98/201.89 | 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)) ) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_single__valued__confluent,axiom,
% 201.98/201.89 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 201.98/201.89 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 201.98/201.89 => ( hBOOL(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)))
% 201.98/201.89 => ( hBOOL(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)))
% 201.98/201.89 => ( 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)))
% 201.98/201.89 | 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))) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Image__Int__eq,axiom,
% 201.98/201.89 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 201.98/201.89 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 201.98/201.89 ! [V_R_2,V_p_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 201.98/201.89 => 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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_acyclicI,axiom,
% 201.98/201.89 ! [V_r_2,T_b] :
% 201.98/201.89 ( ! [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)))
% 201.98/201.89 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_single__valued__rel__pow,axiom,
% 201.98/201.89 ! [V_n_2,V_R_2,T_b] :
% 201.98/201.89 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 201.98/201.89 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_funpow__mult,axiom,
% 201.98/201.89 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_funpow__swap1,axiom,
% 201.98/201.89 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_wf__exp,axiom,
% 201.98/201.89 ! [V_R_2,V_n_2,T_b] :
% 201.98/201.89 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))
% 201.98/201.89 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_comp__funpow,axiom,
% 201.98/201.89 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__commute,axiom,
% 201.98/201.89 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__1,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__imp__rtrancl,axiom,
% 201.98/201.89 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__power,axiom,
% 201.98/201.89 ! [V_R_2,V_p_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 201.98/201.89 <=> ? [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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_relpow_Osimps_I2_J,axiom,
% 201.98/201.89 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__add,axiom,
% 201.98/201.89 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_relpow_Osimps_I1_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__0__I,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__0__E,axiom,
% 201.98/201.89 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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)))
% 201.98/201.89 => V_x_2 = V_y_2 ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__Suc__I,axiom,
% 201.98/201.89 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 201.98/201.89 => ( 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))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__Suc__I2,axiom,
% 201.98/201.89 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_funpow_Osimps_I2_J,axiom,
% 201.98/201.89 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_funpow__add,axiom,
% 201.98/201.89 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_funpow_Osimps_I1_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_trancl__power,axiom,
% 201.98/201.89 ! [V_R_2,V_p_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 201.98/201.89 <=> ? [B_n] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 201.98/201.89 & 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_funpow__code__def,axiom,
% 201.98/201.89 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__E,axiom,
% 201.98/201.89 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 201.98/201.89 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => V_x_2 != V_z_2 )
% 201.98/201.89 => ~ ! [B_y,B_m] :
% 201.98/201.89 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 201.98/201.89 => ( 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)))
% 201.98/201.89 => ~ 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)) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__E2,axiom,
% 201.98/201.89 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 201.98/201.89 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => V_x_2 != V_z_2 )
% 201.98/201.89 => ~ ! [B_y,B_m] :
% 201.98/201.89 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 201.98/201.89 => ( 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))
% 201.98/201.89 => ~ 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))) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 201.98/201.89 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 201.98/201.89 => ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 201.98/201.89 => ! [B_y] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Qa_2))
% 201.98/201.89 => B_y = B_x ) )
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__Un__separatorE,axiom,
% 201.98/201.89 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 201.98/201.89 => ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 201.98/201.89 => ! [B_y] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Qa_2))
% 201.98/201.89 => B_x = B_y ) )
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__Suc__E,axiom,
% 201.98/201.89 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 201.98/201.89 => ~ ! [B_y] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 201.98/201.89 => ~ 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__Suc__D2,axiom,
% 201.98/201.89 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 201.98/201.89 => ? [B_y] :
% 201.98/201.89 ( 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))
% 201.98/201.89 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__pow__Suc__E2,axiom,
% 201.98/201.89 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 201.98/201.89 => ~ ! [B_y] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_tranclD2,axiom,
% 201.98/201.89 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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)))
% 201.98/201.89 => ? [B_z] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 & 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_tranclD,axiom,
% 201.98/201.89 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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)))
% 201.98/201.89 => ? [B_z] :
% 201.98/201.89 ( 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))
% 201.98/201.89 & 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_IdE,axiom,
% 201.98/201.89 ! [V_p_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 201.98/201.89 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_transfer__nat__int__set__cong,axiom,
% 201.98/201.89 ! [V_P_Ha_2,V_Pa_2] :
% 201.98/201.89 ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.98/201.89 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.89 <=> hBOOL(hAPP(V_P_Ha_2,B_x)) ) )
% 201.98/201.89 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_Ha_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Int__Collect__mono,axiom,
% 201.98/201.89 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.89 => ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.89 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.89 => hBOOL(hAPP(V_Qa_2,B_x)) ) )
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Qa_2)))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_converseE,axiom,
% 201.98/201.89 ! [V_r_2,V_yx_2,T_c,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ~ ! [B_x,B_y] :
% 201.98/201.89 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 201.98/201.89 => ~ 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rel__compE,axiom,
% 201.98/201.89 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ~ ! [B_x,B_y,B_z] :
% 201.98/201.89 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 201.98/201.89 => ( 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))
% 201.98/201.89 => ~ 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Oof__frac__def,axiom,
% 201.98/201.89 ! [V_q,T_a,T_b] :
% 201.98/201.89 ( ( class_Rings_Oinverse(T_b)
% 201.98/201.89 & class_Rings_Oring__1(T_b) )
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Oless__frac__def,axiom,
% 201.98/201.89 ! [V_r_2,V_q_2,T_b] :
% 201.98/201.89 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 201.98/201.89 <=> 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 201.98/201.89 ! [V_r_2,V_q_2,T_b] :
% 201.98/201.89 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 201.98/201.89 <=> 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Onum__def,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Odenom__def,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_internal__split__def,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_bool_Osize_I1_J,axiom,
% 201.98/201.89 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_internal__split__conv,axiom,
% 201.98/201.89 ! [V_b_2,V_a_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_ca_2,V_a_2),V_b_2) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_bool_Osize_I2_J,axiom,
% 201.98/201.89 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_finite__less__ub,axiom,
% 201.98/201.89 ! [V_u_2,V_f_2] :
% 201.98/201.89 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 201.98/201.89 => 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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lenlex__def,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexn__length,axiom,
% 201.98/201.89 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))
% 201.98/201.89 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 201.98/201.89 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_neq__if__length__neq,axiom,
% 201.98/201.89 ! [V_ys,V_xs,T_a] :
% 201.98/201.89 ( 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)
% 201.98/201.89 => V_xs != V_ys ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lenlex__conv,axiom,
% 201.98/201.89 ! [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)))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__sublist,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexn_Osimps_I2_J,axiom,
% 201.98/201.89 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_impossible__Cons,axiom,
% 201.98/201.89 ! [V_x,V_ys,V_xs,T_a] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list_Oinject,axiom,
% 201.98/201.89 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 201.98/201.89 ( 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)
% 201.98/201.89 <=> ( V_a_2 = V_a_H_2
% 201.98/201.89 & V_list_2 = V_list_H_2 ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_not__Cons__self2,axiom,
% 201.98/201.89 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 201.98/201.89
% 201.98/201.89 fof(fact_not__Cons__self,axiom,
% 201.98/201.89 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list_Osize_I4_J,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Cons__in__lex,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 <=> ( ( hBOOL(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))
% 201.98/201.89 & 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) )
% 201.98/201.89 | ( V_x_2 = V_y_2
% 201.98/201.89 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__Cons__def,axiom,
% 201.98/201.89 ! [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)))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_pick_Osimps,axiom,
% 201.98/201.89 ! [V_xs,V_x,T_a,V_i] :
% 201.98/201.89 ( ( 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)))
% 201.98/201.89 => 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) )
% 201.98/201.89 & ( ~ 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)))
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_select__weight__cons__zero,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexord__cons__cons,axiom,
% 201.98/201.89 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 <=> ( 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))
% 201.98/201.89 | ( V_a_2 = V_b_2
% 201.98/201.89 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexord__lex,axiom,
% 201.98/201.89 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 & 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list_Osize_I2_J,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Cons__acc__listrel1I,axiom,
% 201.98/201.89 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.98/201.89 => ( 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))))
% 201.98/201.89 => 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)))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1__mono,axiom,
% 201.98/201.89 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1__converse,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 201.98/201.89 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1I2,axiom,
% 201.98/201.89 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 201.98/201.89 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1__eq__len,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__listrel1__converse,axiom,
% 201.98/201.89 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 201.98/201.89 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Cons__listrel1__Cons,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 <=> ( ( hBOOL(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))
% 201.98/201.89 & V_xs_2 = V_ys_2 )
% 201.98/201.89 | ( V_x_2 = V_y_2
% 201.98/201.89 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1I1,axiom,
% 201.98/201.89 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__Cons,axiom,
% 201.98/201.89 ! [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))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexord__linear,axiom,
% 201.98/201.89 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 201.98/201.89 ( ! [B_a,B_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 | B_a = B_b
% 201.98/201.89 | 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)) )
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 | V_x_2 = V_y_2
% 201.98/201.89 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__rtrancl__refl,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__mono,axiom,
% 201.98/201.89 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__eq__len,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__rtrancl__trans,axiom,
% 201.98/201.89 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1__subset__listrel,axiom,
% 201.98/201.89 ! [V_r_H_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel_OCons,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrelp__listrel__eq,axiom,
% 201.98/201.89 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 201.98/201.89 ( 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)
% 201.98/201.89 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__Cons1,axiom,
% 201.98/201.89 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => ~ ! [B_y,B_ys] :
% 201.98/201.89 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 201.98/201.89 => ( 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))
% 201.98/201.89 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrelp_Oequations_I2_J,axiom,
% 201.98/201.89 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 201.98/201.89 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrelp_OCons,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 201.98/201.89 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__Cons2,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => ~ ! [B_x,B_xs] :
% 201.98/201.89 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 201.98/201.89 => ( 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))
% 201.98/201.89 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__subset,axiom,
% 201.98/201.89 ! [V_A_2,V_r_2,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => 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))))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lists__UNIV,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lists__mono,axiom,
% 201.98/201.89 ! [V_B_2,V_A_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_equiv__listrel,axiom,
% 201.98/201.89 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.89 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__refl__on,axiom,
% 201.98/201.89 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Cons__in__lists__iff,axiom,
% 201.98/201.89 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.89 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lists__accD,axiom,
% 201.98/201.89 ! [V_r_2,V_xs_2,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => 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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lists__accI,axiom,
% 201.98/201.89 ! [V_r_2,V_xs_2,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => 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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__iff__nth,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 <=> ( 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)
% 201.98/201.89 & ! [B_n] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexord__irreflexive,axiom,
% 201.98/201.89 ! [V_y_2,V_r_2,T_b] :
% 201.98/201.89 ( ! [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))
% 201.98/201.89 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_infinite__UNIV__listI,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__eq__iff__nth__eq,axiom,
% 201.98/201.89 ! [T_b,V_ys_2,V_xs_2] :
% 201.98/201.89 ( V_xs_2 = V_ys_2
% 201.98/201.89 <=> ( 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)
% 201.98/201.89 & ! [B_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__Cons__Suc,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__Cons__0,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth_Osimps,axiom,
% 201.98/201.89 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__Cons_H,axiom,
% 201.98/201.89 ! [V_xs,V_x,T_a,V_n] :
% 201.98/201.89 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 201.98/201.89 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__Cons__number__of,axiom,
% 201.98/201.89 ! [V_xs,V_x,T_a,V_v] :
% 201.98/201.89 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => 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 )
% 201.98/201.89 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexord__take__index__conv,axiom,
% 201.98/201.89 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 <=> ( ( 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)))
% 201.98/201.89 & 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 )
% 201.98/201.89 | ? [B_i] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 201.98/201.89 & 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__sublist,axiom,
% 201.98/201.89 ! [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))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_finite__set,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__subset__Cons,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__all,axiom,
% 201.98/201.89 ! [V_n,V_xs,T_a] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__take__subset,axiom,
% 201.98/201.89 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__take__subset__set__take,axiom,
% 201.98/201.89 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__sublist__subset,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__take,axiom,
% 201.98/201.89 ! [V_xs,T_a,V_n,V_i] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__ConsD,axiom,
% 201.98/201.89 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => ( V_y_2 = V_x_2
% 201.98/201.89 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__set__sublistD,axiom,
% 201.98/201.89 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__set__takeD,axiom,
% 201.98/201.89 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_notin__set__sublistI,axiom,
% 201.98/201.89 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => ~ 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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__Suc__Cons,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__take,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__take,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_sublist__upt__eq__take,axiom,
% 201.98/201.89 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_card__length,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_all__set__conv__all__nth,axiom,
% 201.98/201.89 ! [V_Pa_2,V_xs_2,T_b] :
% 201.98/201.89 ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.89 <=> ! [B_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__size__estimation,axiom,
% 201.98/201.89 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__size__estimation_H,axiom,
% 201.98/201.89 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__lists__conv__set,axiom,
% 201.98/201.89 ! [V_A_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 201.98/201.89 <=> ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__pos__if__in__set,axiom,
% 201.98/201.89 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__mem,axiom,
% 201.98/201.89 ! [V_xs_2,T_b,V_n_2] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__set__conv__nth,axiom,
% 201.98/201.89 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 <=> ? [B_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lists__eq__set,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__conv__nth,axiom,
% 201.98/201.89 ! [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))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_finite__lists__length__eq,axiom,
% 201.98/201.89 ! [V_n_2,V_A_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_finite__lists__length__le,axiom,
% 201.98/201.89 ! [V_n_2,V_A_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__iff__zip,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 <=> ( 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)
% 201.98/201.89 & ! [B_x] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => 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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__zip,axiom,
% 201.98/201.89 ! [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)))))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__zip,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__zip,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_zip__Cons__Cons,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__eq__iff__zip__eq,axiom,
% 201.98/201.89 ! [T_b,V_ys_2,V_xs_2] :
% 201.98/201.89 ( V_xs_2 = V_ys_2
% 201.98/201.89 <=> ( 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)
% 201.98/201.89 & ! [B_x] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__set__zipE,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__zip__rightD,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__zip__leftD,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_zip__same,axiom,
% 201.98/201.89 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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))))
% 201.98/201.89 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 & V_a_2 = V_b_2 ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__zip,axiom,
% 201.98/201.89 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( 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)))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_greaterThanLessThan__upto,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listsum__setsum__nth,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 201.98/201.89 ! [V_ns_2] :
% 201.98/201.89 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 <=> ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 201.98/201.89 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_atLeastAtMost__upto,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__upto,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_elem__le__listsum__nat,axiom,
% 201.98/201.89 ! [V_ns,V_k] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listsum__simps_I2_J,axiom,
% 201.98/201.89 ! [V_xs,V_x,T_a] :
% 201.98/201.89 ( class_Groups_Omonoid__add(T_a)
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_atLeastLessThan__upto,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_greaterThanAtMost__upto,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nat__list__def,axiom,
% 201.98/201.89 ! [V_l_2] :
% 201.98/201.89 ( c_List_Onat__list(V_l_2)
% 201.98/201.89 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__size__pointwise,axiom,
% 201.98/201.89 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 201.98/201.89 ( ! [B_x] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listsum__update__nat,axiom,
% 201.98/201.89 ! [V_n,V_ns,V_k] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_butlast__take,axiom,
% 201.98/201.89 ! [V_xs,T_a,V_n] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__beyond,axiom,
% 201.98/201.89 ! [V_x,V_i,V_xs,T_a] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__id,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__list__update__neq,axiom,
% 201.98/201.89 ! [V_x,V_xs,T_a,V_j,V_i] :
% 201.98/201.89 ( V_i != V_j
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_butlast__list__update,axiom,
% 201.98/201.89 ! [V_x,V_xs,T_a,V_k] :
% 201.98/201.89 ( ( 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))
% 201.98/201.89 => 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) )
% 201.98/201.89 & ( 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))
% 201.98/201.89 => 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__list__update,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_zip__update,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_update__zip,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__swap,axiom,
% 201.98/201.89 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 201.98/201.89 ( V_i != V_i_H
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__overwrite,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__code_I3_J,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__code_I2_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update_Osimps_I2_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__set__butlastD,axiom,
% 201.98/201.89 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__update__subsetI,axiom,
% 201.98/201.89 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__update__subset__insert,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__list__update__eq,axiom,
% 201.98/201.89 ! [V_x,V_xs,T_a,V_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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 ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__same__conv,axiom,
% 201.98/201.89 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 201.98/201.89 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__list__update,axiom,
% 201.98/201.89 ! [V_x,V_j,V_xs,T_a,V_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( ( V_i = V_j
% 201.98/201.89 => 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 )
% 201.98/201.89 & ( V_i != V_j
% 201.98/201.89 => 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) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__butlast,axiom,
% 201.98/201.89 ! [V_xs,T_a,V_n] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__butlast,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__update__memI,axiom,
% 201.98/201.89 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_butlast__conv__take,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1__iff__update,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 <=> ? [B_y,B_n] :
% 201.98/201.89 ( 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))
% 201.98/201.89 & 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)))
% 201.98/201.89 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__list__update,axiom,
% 201.98/201.89 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.89 => ( ~ 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))))))
% 201.98/201.89 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__upto,axiom,
% 201.98/201.89 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__take,axiom,
% 201.98/201.89 ! [V_i,V_xs,T_a] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.89 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__sublistI,axiom,
% 201.98/201.89 ! [V_I_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.89 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__zipI2,axiom,
% 201.98/201.89 ! [V_xs,T_b,V_ys,T_a] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 201.98/201.89 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__zipI1,axiom,
% 201.98/201.89 ! [V_ys,T_b,V_xs,T_a] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.89 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct_Osimps_I2_J,axiom,
% 201.98/201.89 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 201.98/201.89 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__card,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_card__distinct,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( 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)
% 201.98/201.89 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__eq__iff__index__eq,axiom,
% 201.98/201.89 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.89 => ( 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)))
% 201.98/201.89 => ( 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)))
% 201.98/201.89 => ( 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)
% 201.98/201.89 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__conv__nth,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.89 <=> ! [B_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ! [B_j] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( B_i != B_j
% 201.98/201.89 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.89 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nitpick_Ocard_H__def,axiom,
% 201.98/201.89 ! [V_A_2,T_b] :
% 201.98/201.89 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => 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)))) )
% 201.98/201.89 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__take__lemma,axiom,
% 201.98/201.89 ! [V_ys,V_xs,T_a,V_k] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( 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)))
% 201.98/201.89 => ( ! [B_i] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 201.98/201.89 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 201.98/201.89 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__remove1__eq,axiom,
% 201.98/201.89 ! [V_x_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.89 => 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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__Cons__number__of,axiom,
% 201.98/201.89 ! [V_xs,V_x,T_a,V_v] :
% 201.98/201.89 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => 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) )
% 201.98/201.89 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lists_ONil,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__Nil2,axiom,
% 201.98/201.89 ! [V_r_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__Nil1,axiom,
% 201.98/201.89 ! [V_r_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__butlast,axiom,
% 201.98/201.89 ! [T_a,V_xs] :
% 201.98/201.89 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.89 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.89 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct_Osimps_I1_J,axiom,
% 201.98/201.89 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__remove1,axiom,
% 201.98/201.89 ! [V_x,V_xs,T_a] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.89 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_butlast_Osimps_I1_J,axiom,
% 201.98/201.89 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_butlast_Osimps_I2_J,axiom,
% 201.98/201.89 ! [V_x,T_a,V_xs] :
% 201.98/201.89 ( ( V_xs = c_List_Olist_ONil(T_a)
% 201.98/201.89 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 201.98/201.89 & ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_remove1_Osimps_I2_J,axiom,
% 201.98/201.89 ! [V_xs,T_a,V_y,V_x] :
% 201.98/201.89 ( ( V_x = V_y
% 201.98/201.89 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 201.98/201.89 & ( V_x != V_y
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list_Osimps_I3_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list_Osimps_I2_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_upto__empty,axiom,
% 201.98/201.89 ! [V_i,V_j] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 201.98/201.89 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__Nil,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__0,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__eq__Nil,axiom,
% 201.98/201.89 ! [V_xs_2,V_n_2,T_b] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.98/201.89 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_sublist__nil,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_remove1_Osimps_I1_J,axiom,
% 201.98/201.89 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_remove1__commute,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrelp_ONil,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrelp_Oequations_I1_J,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_zip_Osimps_I1_J,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_zip__Nil,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listsum__simps_I1_J,axiom,
% 201.98/201.89 ! [T_a] :
% 201.98/201.89 ( class_Groups_Omonoid__add(T_a)
% 201.98/201.89 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__0__conv,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list_Osize_I3_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__empty,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__empty2,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 201.98/201.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list_Osize_I1_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__nonempty,axiom,
% 201.98/201.89 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 201.98/201.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update_Osimps_I1_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__code_I1_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__set__remove1,axiom,
% 201.98/201.89 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 201.98/201.89 ( V_a_2 != V_b_2
% 201.98/201.89 => ( 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))))
% 201.98/201.89 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_notin__set__remove1,axiom,
% 201.98/201.89 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => ~ 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)))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_remove1__idem,axiom,
% 201.98/201.89 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_sublist__empty,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__remove1__subset,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__greater__0__conv,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__1__Cons,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_not__listrel1__Nil,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_not__Nil__listrel1,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel_ONil,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexord__Nil__right,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nil2__notin__lex,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nil__notin__lex,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__Cons,axiom,
% 201.98/201.89 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_upto_Osimps,axiom,
% 201.98/201.89 ! [V_j,V_i] :
% 201.98/201.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 201.98/201.89 => 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)) )
% 201.98/201.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 201.98/201.89 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_sublist__singleton,axiom,
% 201.98/201.89 ! [V_x_2,T_b,V_A_2] :
% 201.98/201.89 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 201.98/201.89 => 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)) )
% 201.98/201.89 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 201.98/201.89 => 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lists__empty,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__Cons_H,axiom,
% 201.98/201.89 ! [V_xs,V_x,T_a,V_n] :
% 201.98/201.89 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => 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) )
% 201.98/201.89 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_upto__rec__number__of,axiom,
% 201.98/201.89 ! [V_n,V_m] :
% 201.98/201.89 ( ( 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)))
% 201.98/201.89 => 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))) )
% 201.98/201.89 & ( ~ 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)))
% 201.98/201.89 => 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel__Nil,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__Cons__sing__Nil,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__remove1,axiom,
% 201.98/201.89 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => 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)) )
% 201.98/201.89 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => 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) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_upto_Opsimps,axiom,
% 201.98/201.89 ! [V_j_2,V_i_2] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 201.98/201.89 => 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)) )
% 201.98/201.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 201.98/201.89 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_select,axiom,
% 201.98/201.89 ! [V_s_2,T_b,V_xs_2] :
% 201.98/201.89 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listset_Osimps_I1_J,axiom,
% 201.98/201.89 ! [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))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_zip__Cons,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list_Osimps_I5_J,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list_Osimps_I4_J,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listset_Osimps_I2_J,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_zip__Cons1,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_sorted__list__of__set__remove,axiom,
% 201.98/201.89 ! [V_x_2,V_A_2,T_b] :
% 201.98/201.89 ( class_Orderings_Olinorder(T_b)
% 201.98/201.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_upto_Opinduct,axiom,
% 201.98/201.89 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( ! [B_i,B_j] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 201.98/201.89 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 201.98/201.89 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 201.98/201.89 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_sorted__list__of__set__empty,axiom,
% 201.98/201.89 ! [T_b] :
% 201.98/201.89 ( class_Orderings_Olinorder(T_b)
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_anamorph_Osimps,axiom,
% 201.98/201.89 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 201.98/201.89 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.98/201.89 => 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) )
% 201.98/201.89 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_sublist__Cons,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append1__eq__conv,axiom,
% 201.98/201.89 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 <=> ( V_xs_2 = V_ys_2
% 201.98/201.89 & V_x_2 = V_y_2 ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Cons__eq__append__conv,axiom,
% 201.98/201.89 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( 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)
% 201.98/201.89 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 201.98/201.89 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 201.98/201.89 | ? [B_ys_H] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 201.98/201.89 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__eq__Cons__conv,axiom,
% 201.98/201.89 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 201.98/201.89 ( 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)
% 201.98/201.89 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 201.98/201.89 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 201.98/201.89 | ? [B_ys_H] :
% 201.98/201.89 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 201.98/201.89 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Cons__eq__appendI,axiom,
% 201.98/201.89 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 201.98/201.89 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 201.98/201.89 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__Cons,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__in__lists__conv,axiom,
% 201.98/201.89 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 201.98/201.89 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__assoc,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__eq__append__conv2,axiom,
% 201.98/201.89 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2)
% 201.98/201.89 <=> ? [B_us] :
% 201.98/201.89 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 201.98/201.89 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 201.98/201.89 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 201.98/201.89 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_same__append__eq,axiom,
% 201.98/201.89 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( 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)
% 201.98/201.89 <=> V_ys_2 = V_zs_2 ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__same__eq,axiom,
% 201.98/201.89 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 201.98/201.89 ( 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)
% 201.98/201.89 <=> V_ys_2 = V_zs_2 ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__eq__appendI,axiom,
% 201.98/201.89 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 201.98/201.89 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 201.98/201.89 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listsum__append,axiom,
% 201.98/201.89 ! [V_ys,V_xs,T_a] :
% 201.98/201.89 ( class_Groups_Omonoid__add(T_a)
% 201.98/201.89 => 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)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_length__append,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_zip__append,axiom,
% 201.98/201.89 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 201.98/201.89 ( 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)
% 201.98/201.89 => ( 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)
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_set__append,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_eq__Nil__appendI,axiom,
% 201.98/201.89 ! [T_a,V_ys,V_xs] :
% 201.98/201.89 ( V_xs = V_ys
% 201.98/201.89 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__self__conv2,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 201.98/201.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__self__conv,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 201.98/201.89 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__is__Nil__conv,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 201.98/201.89 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 201.98/201.89 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_self__append__conv2,axiom,
% 201.98/201.89 ! [V_xs_2,T_b,V_ys_2] :
% 201.98/201.89 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 201.98/201.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_self__append__conv,axiom,
% 201.98/201.89 ! [V_ys_2,T_b,V_xs_2] :
% 201.98/201.89 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 201.98/201.89 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__Nil2,axiom,
% 201.98/201.89 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 201.98/201.89
% 201.98/201.89 fof(fact_Nil__is__append__conv,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 201.98/201.89 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 201.98/201.89 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__Nil,axiom,
% 201.98/201.89 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 201.98/201.89
% 201.98/201.89 fof(fact_butlast__append,axiom,
% 201.98/201.89 ! [V_xs,T_a,V_ys] :
% 201.98/201.89 ( ( V_ys = c_List_Olist_ONil(T_a)
% 201.98/201.89 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 201.98/201.89 & ( V_ys != c_List_Olist_ONil(T_a)
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__append__length,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__append__length__plus,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__append,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__append1,axiom,
% 201.98/201.89 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__length,axiom,
% 201.98/201.89 ! [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)) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_remove1__append,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => 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) )
% 201.98/201.89 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_in__set__butlast__appendI,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.89 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 201.98/201.89 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 201.98/201.89 => 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))))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_butlast__snoc,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__listrel1I,axiom,
% 201.98/201.89 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 & V_us_2 = V_vs_2 )
% 201.98/201.89 | ( V_xs_2 = V_ys_2
% 201.98/201.89 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) )
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexord__append__leftI,axiom,
% 201.98/201.89 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__append,axiom,
% 201.98/201.89 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 201.98/201.89 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.89 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 201.98/201.89 & 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__append,axiom,
% 201.98/201.89 ! [V_ys,V_xs,T_a,V_n] :
% 201.98/201.89 ( ( 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)))
% 201.98/201.89 => 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) )
% 201.98/201.89 & ( ~ 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)))
% 201.98/201.89 => 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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_list__update__append,axiom,
% 201.98/201.89 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 201.98/201.89 ( ( 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)))
% 201.98/201.89 => 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) )
% 201.98/201.89 & ( ~ 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)))
% 201.98/201.89 => 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)) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_sublist__append,axiom,
% 201.98/201.89 ! [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)))) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1I,axiom,
% 201.98/201.89 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(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))
% 201.98/201.89 => ( 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))
% 201.98/201.89 => ( 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))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexord__append__left__rightI,axiom,
% 201.98/201.89 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_take__Suc__conv__app__nth,axiom,
% 201.98/201.89 ! [V_xs,T_a,V_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 201.98/201.89 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 & V_x_2 = V_y_2 )
% 201.98/201.89 | ( V_xs_2 = V_ys_2
% 201.98/201.89 & hBOOL(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)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_listrel1E,axiom,
% 201.98/201.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => ~ ! [B_x,B_y] :
% 201.98/201.89 ( 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))
% 201.98/201.89 => ! [B_us,B_vs] :
% 201.98/201.89 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 201.98/201.89 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_lexord__append__leftD,axiom,
% 201.98/201.89 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.89 => ( ! [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))
% 201.98/201.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_rotate1__def,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_upd__conv__take__nth__drop,axiom,
% 201.98/201.89 ! [V_a,V_xs,T_a,V_i] :
% 201.98/201.89 ( 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)))
% 201.98/201.89 => 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))) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_append__take__drop__id,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_drop__Suc__Cons,axiom,
% 201.98/201.89 ! [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) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_drop__1__Cons,axiom,
% 201.98/201.89 ! [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 ).
% 201.98/201.89
% 201.98/201.89 fof(fact_nth__via__drop,axiom,
% 201.98/201.89 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 201.98/201.89 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 201.98/201.89 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct1__rotate,axiom,
% 201.98/201.89 ! [V_xs_2,T_b] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 201.98/201.89 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.98/201.89
% 201.98/201.89 fof(fact_distinct__drop,axiom,
% 201.98/201.89 ! [V_i,V_xs,T_a] :
% 201.98/201.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.89 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__butlast,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_butlast__drop,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__take,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_take__drop,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__0,axiom,
% 201.98/201.90 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__drop,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__zip,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__rotate1,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__drop,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__rotate1,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_in__set__dropD,axiom,
% 201.98/201.90 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__drop__subset,axiom,
% 201.98/201.90 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate1__is__Nil__conv,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.98/201.90 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__Nil,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__drop__subset__set__drop,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__all,axiom,
% 201.98/201.90 ! [V_n,V_xs,T_a] :
% 201.98/201.90 ( 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))
% 201.98/201.90 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__eq__Nil,axiom,
% 201.98/201.90 ! [V_xs_2,V_n_2,T_b] :
% 201.98/201.90 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.98/201.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__append,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_append__eq__conv__conj,axiom,
% 201.98/201.90 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 201.98/201.90 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 201.98/201.90 <=> ( 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)
% 201.98/201.90 & 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__Cons,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__Cons_H,axiom,
% 201.98/201.90 ! [V_xs,V_x,T_a,V_n] :
% 201.98/201.90 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.90 => 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) )
% 201.98/201.90 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nth__drop,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_i,V_n] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_append__eq__append__conv__if,axiom,
% 201.98/201.90 ! [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] :
% 201.98/201.90 ( 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)
% 201.98/201.90 <=> ( ( 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)))
% 201.98/201.90 => ( 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)
% 201.98/201.90 & 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) ) )
% 201.98/201.90 & ( ~ 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)))
% 201.98/201.90 => ( 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
% 201.98/201.90 & 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 ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nth__drop_H,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_i] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__simps,axiom,
% 201.98/201.90 ! [V_xs,V_x,T_b,T_a] :
% 201.98/201.90 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 201.98/201.90 & 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__Cons__number__of,axiom,
% 201.98/201.90 ! [V_xs,V_x,T_a,V_v] :
% 201.98/201.90 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.90 => 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) )
% 201.98/201.90 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_take__add,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_j,V_i] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate1__length01,axiom,
% 201.98/201.90 ! [V_xs,T_a] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__append1,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__append2,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_id__take__nth__drop,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_i] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_take__hd__drop,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_n] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__drop__conv__nth,axiom,
% 201.98/201.90 ! [V_n,T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd_Osimps,axiom,
% 201.98/201.90 ! [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 ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__append,axiom,
% 201.98/201.90 ! [V_ys,T_a,V_xs] :
% 201.98/201.90 ( ( V_xs = c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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) )
% 201.98/201.90 & ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__append2,axiom,
% 201.98/201.90 ! [V_ys,T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__in__set,axiom,
% 201.98/201.90 ! [T_b,V_xs_2] :
% 201.98/201.90 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__conv__nth,axiom,
% 201.98/201.90 ! [T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate1__hd__tl,axiom,
% 201.98/201.90 ! [T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__rotate__conv__nth,axiom,
% 201.98/201.90 ! [V_n,T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_tl__drop,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__tl,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_tl_Osimps_I2_J,axiom,
% 201.98/201.90 ! [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 ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__rotate,axiom,
% 201.98/201.90 ! [V_xs_2,V_n_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 201.98/201.90 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__tl,axiom,
% 201.98/201.90 ! [V_xs,T_a] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate0,axiom,
% 201.98/201.90 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__rotate,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__add,axiom,
% 201.98/201.90 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__rotate,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__rotate,axiom,
% 201.98/201.90 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__is__Nil__conv,axiom,
% 201.98/201.90 ! [V_xs_2,V_n_2,T_b] :
% 201.98/201.90 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.98/201.90 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_tl_Osimps_I1_J,axiom,
% 201.98/201.90 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate1__rotate__swap,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__def,axiom,
% 201.98/201.90 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_tl__append2,axiom,
% 201.98/201.90 ! [V_ys,T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_take__tl,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__conv__mod,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__Suc,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__Suc,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_tl__append,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__id,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_n] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__length01,axiom,
% 201.98/201.90 ! [V_n,V_xs,T_a] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__tl,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_tl__take,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_take__Suc,axiom,
% 201.98/201.90 ! [V_n,T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__drop__take,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_fold1__set,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.98/201.90 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__list__of__set__insert,axiom,
% 201.98/201.90 ! [V_x_2,V_A_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.90 => 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)))))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__not__Nil,axiom,
% 201.98/201.90 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__Nil,axiom,
% 201.98/201.90 ! [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 ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remove1__insort,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_start__le__sum,axiom,
% 201.98/201.90 ! [V_ns_2,V_n_2,V_m_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_ns_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__absorb0,axiom,
% 201.98/201.90 ! [V_zs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Groups_Omonoid__add(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_fun__left__comm__insort,axiom,
% 201.98/201.90 ! [T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__left__comm,axiom,
% 201.98/201.90 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__assoc,axiom,
% 201.98/201.90 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Groups_Osemigroup__add(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__key__left__comm,axiom,
% 201.98/201.90 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__insort,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__insort,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__Cons,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__key_Osimps_I2_J,axiom,
% 201.98/201.90 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( ( 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)))
% 201.98/201.90 => 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)) )
% 201.98/201.90 & ( ~ 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)))
% 201.98/201.90 => 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)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__key_Osimps_I1_J,axiom,
% 201.98/201.90 ! [V_x_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__append,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__foldl,axiom,
% 201.98/201.90 ! [T_b] :
% 201.98/201.90 ( class_Groups_Omonoid__add(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sum__eq__0__conv,axiom,
% 201.98/201.90 ! [V_ns_2,V_m_2] :
% 201.98/201.90 ( 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)
% 201.98/201.90 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.90 & ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 201.98/201.90 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__insort,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => ( 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)))
% 201.98/201.90 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 201.98/201.90 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Sup__set__fold,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Inf__set__fold,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Sup__fin__set__fold,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Lattices_Olattice(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Inf__fin__set__fold,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Lattices_Olattice(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Min__fin__set__fold,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Max__fin__set__fold,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_SUPR__set__fold,axiom,
% 201.98/201.90 ! [V_f_2,V_xs_2,T_c,T_b] :
% 201.98/201.90 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_INFI__set__fold,axiom,
% 201.98/201.90 ! [V_f_2,V_xs_2,T_c,T_b] :
% 201.98/201.90 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_elem__le__sum,axiom,
% 201.98/201.90 ! [V_ns_2,V_n_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__insert__insort__key,axiom,
% 201.98/201.90 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( ~ 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))))
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_lexord__append__rightI,axiom,
% 201.98/201.90 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 201.98/201.90 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__insort__insert,axiom,
% 201.98/201.90 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => 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))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__insert__triv,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__insort__insert,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__insert__key__triv,axiom,
% 201.98/201.90 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( 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))))
% 201.98/201.90 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__insert__insort,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_lexord__Nil__left,axiom,
% 201.98/201.90 ! [V_r_2,V_y_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.90 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__list__update,axiom,
% 201.98/201.90 ! [V_x,V_k,T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => ( ( 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))
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 201.98/201.90 & ( 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))
% 201.98/201.90 => 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) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last_Osimps,axiom,
% 201.98/201.90 ! [V_x,T_a,V_xs] :
% 201.98/201.90 ( ( V_xs = c_List_Olist_ONil(T_a)
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 201.98/201.90 & ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__ConsR,axiom,
% 201.98/201.90 ! [V_x,T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__ConsL,axiom,
% 201.98/201.90 ! [V_x,T_a,V_xs] :
% 201.98/201.90 ( V_xs = c_List_Olist_ONil(T_a)
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__append,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_ys] :
% 201.98/201.90 ( ( V_ys = c_List_Olist_ONil(T_a)
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 201.98/201.90 & ( V_ys != c_List_Olist_ONil(T_a)
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__appendR,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_ys] :
% 201.98/201.90 ( V_ys != c_List_Olist_ONil(T_a)
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__appendL,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_ys] :
% 201.98/201.90 ( V_ys = c_List_Olist_ONil(T_a)
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__in__set,axiom,
% 201.98/201.90 ! [T_b,V_as_2] :
% 201.98/201.90 ( V_as_2 != c_List_Olist_ONil(T_b)
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__snoc,axiom,
% 201.98/201.90 ! [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 ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__drop,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_n] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_append__butlast__last__id,axiom,
% 201.98/201.90 ! [T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_snoc__eq__iff__butlast,axiom,
% 201.98/201.90 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 201.98/201.90 ( 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
% 201.98/201.90 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 201.98/201.90 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 201.98/201.90 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__conv__nth,axiom,
% 201.98/201.90 ! [T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_lists_Osimps,axiom,
% 201.98/201.90 ! [V_A_2,V_a_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 201.98/201.90 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 201.98/201.90 | ? [B_a,B_l] :
% 201.98/201.90 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 201.98/201.90 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.98/201.90 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_select__weigth__select,axiom,
% 201.98/201.90 ! [T_b,V_xs_2] :
% 201.98/201.90 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_inj__mapI,axiom,
% 201.98/201.90 ! [V_f_2,T_c,T_b] :
% 201.98/201.90 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__map,axiom,
% 201.98/201.90 ! [V_f_2,T_c,T_b,V_xs_2] :
% 201.98/201.90 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__size__map,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_List_Omap_Ocomp,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__comp__map,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_List_Omap_Ocompositionality,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__map,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_List_Omap_Oidentity,axiom,
% 201.98/201.90 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_List_Omap_Oid,axiom,
% 201.98/201.90 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__map,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__map,axiom,
% 201.98/201.90 ! [V_f_2,T_c,T_b,V_xs_2] :
% 201.98/201.90 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__append,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map_Osimps_I2_J,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__map,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__butlast,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_take__map,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__ident,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 201.98/201.90
% 201.98/201.90 fof(fact_inj__map__eq__map,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.90 => ( 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)
% 201.98/201.90 <=> V_xs_2 = V_ys_2 ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__injective,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.90 => V_xs_2 = V_ys_2 ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__subtractf,axiom,
% 201.98/201.90 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Groups_Oab__group__add(T_b)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__mult__const,axiom,
% 201.98/201.90 ! [V_xs_2,V_ca_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Rings_Osemiring__0(T_b)
% 201.98/201.90 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_ca_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_ca_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__const__mult,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,V_ca_2,T_c,T_b] :
% 201.98/201.90 ( class_Rings_Osemiring__0(T_b)
% 201.98/201.90 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__0,axiom,
% 201.98/201.90 ! [V_xs_2,T_c,T_b] :
% 201.98/201.90 ( class_Groups_Omonoid__add(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__addf,axiom,
% 201.98/201.90 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__eq__imp__length__eq,axiom,
% 201.98/201.90 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__map,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__eq__conv,axiom,
% 201.98/201.90 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( 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)
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 201.98/201.90 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__update,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__is__Nil__conv,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.98/201.90 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map_Osimps_I1_J,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Nil__is__map__conv,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 201.98/201.90 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__map2,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__zip__map2,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__zip__map,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__map1,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__map__map,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__same__conv__map,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__map,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__tl,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__map,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_inj__on__map__eq__map,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => ( 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)
% 201.98/201.90 <=> V_xs_2 = V_ys_2 ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__inj__on,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => V_xs_2 = V_ys_2 ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nth__map,axiom,
% 201.98/201.90 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.90 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__fun__upd,axiom,
% 201.98/201.90 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 201.98/201.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__map,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 201.98/201.90 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 201.98/201.90 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__abs,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.98/201.90 => 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)))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_uminus__listsum__map,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Groups_Oab__group__add(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_inj__on__mapI,axiom,
% 201.98/201.90 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_inj__mapD,axiom,
% 201.98/201.90 ! [V_f_2,T_c,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_inj__map,axiom,
% 201.98/201.90 ! [V_f_2,T_c,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 201.98/201.90 ! [V_f_2,V_xs_2,T_b,T_c] :
% 201.98/201.90 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__triv,axiom,
% 201.98/201.90 ! [V_xs_2,V_r_2,T_c,T_b] :
% 201.98/201.90 ( class_Rings_Osemiring__1(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__map__remove1,axiom,
% 201.98/201.90 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 201.98/201.90 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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)))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 201.98/201.90 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.98/201.90 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.90 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.90 => 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))))) )
% 201.98/201.90 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.90 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_pick__same,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_l_2] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_times__code__numeral__code,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 201.98/201.90 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 201.98/201.90 ! [V_m_2,V_n_2] :
% 201.98/201.90 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 201.98/201.90 <=> V_n_2 = V_m_2 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zero__code__numeral__def,axiom,
% 201.98/201.90 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_one__code__numeral__def,axiom,
% 201.98/201.90 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_less__code__numeral__code,axiom,
% 201.98/201.90 ! [V_m_2,V_n_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 201.98/201.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 201.98/201.90 ! [V_y_2,V_x_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.98/201.90 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 201.98/201.90 <=> V_x_2 = V_y_2 ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__fst__zip,axiom,
% 201.98/201.90 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => 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 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__snd__zip,axiom,
% 201.98/201.90 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => 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 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_number__of__code__numeral__def,axiom,
% 201.98/201.90 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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__map__fst__snd,axiom,
% 201.98/201.90 ! [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 ).
% 201.98/201.90
% 201.98/201.90 fof(fact_plus__code__numeral__code,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_less__eq__code__numeral__code,axiom,
% 201.98/201.90 ! [V_m_2,V_n_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 201.98/201.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_subtract__code__numeral__code,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_pick__member,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_i_2] :
% 201.98/201.90 ( 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))))
% 201.98/201.90 => 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)))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__eq__conv,axiom,
% 201.98/201.90 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 201.98/201.90 <=> ( 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
% 201.98/201.90 & 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 ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__size__conv__listsum,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_code__numeral__not__eq__zero,axiom,
% 201.98/201.90 ! [V_i_2] :
% 201.98/201.90 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.98/201.90 <=> 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 201.98/201.90 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 201.98/201.90 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 201.98/201.90 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 201.98/201.90 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_select__weight__member,axiom,
% 201.98/201.90 ! [V_s_2,V_xs_2,T_b] :
% 201.98/201.90 ( 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))))
% 201.98/201.90 => 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)))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_select__weight__def,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_select__def,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__mono,axiom,
% 201.98/201.90 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 201.98/201.90 ( ( class_Groups_Omonoid__add(T_c)
% 201.98/201.90 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 201.98/201.90 => ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 201.98/201.90 => 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)))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_times__code__numeral__def,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nat__of__inverse,axiom,
% 201.98/201.90 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 201.98/201.90
% 201.98/201.90 fof(fact_of__nat__nat__of,axiom,
% 201.98/201.90 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nat__of__of__nat,axiom,
% 201.98/201.90 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 201.98/201.90 ! [V_l_2,V_k_2] :
% 201.98/201.90 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 201.98/201.90 <=> V_k_2 = V_l_2 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_code__numeral_Onat__of__inject,axiom,
% 201.98/201.90 ! [V_y_2,V_x_2] :
% 201.98/201.90 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 201.98/201.90 <=> V_x_2 = V_y_2 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_type__definition__code__numeral,axiom,
% 201.98/201.90 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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_less__code__numeral__def,axiom,
% 201.98/201.90 ! [V_m_2,V_n_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 201.98/201.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nat__of,axiom,
% 201.98/201.90 ! [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)))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nat__of__number,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_int__of__def,axiom,
% 201.98/201.90 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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_less__eq__code__numeral__def,axiom,
% 201.98/201.90 ! [V_m_2,V_n_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 201.98/201.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nat__of__code,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nat__of__aux__def,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Suc__code__numeral__def,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_minus__code__numeral__def,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_of__nat__inverse,axiom,
% 201.98/201.90 ! [V_y_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.98/201.90 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_plus__code__numeral__def,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_div__code__numeral__def,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_mod__code__numeral__def,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_code__numeral__decr,axiom,
% 201.98/201.90 ! [V_k] :
% 201.98/201.90 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_partition__set,axiom,
% 201.98/201.90 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_partition__P,axiom,
% 201.98/201.90 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 201.98/201.90 => ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.90 & ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 201.98/201.90 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_partition_Osimps_I1_J,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_partition_Osimps_I2_J,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_lists__Int__eq,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_lists__IntI,axiom,
% 201.98/201.90 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsp_ONil,axiom,
% 201.98/201.90 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_append__in__listsp__conv,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 201.98/201.90 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 201.98/201.90 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsp_Oequations_I2_J,axiom,
% 201.98/201.90 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 201.98/201.90 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 201.98/201.90 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsp__infI,axiom,
% 201.98/201.90 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsp__inf__eq,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsp__conj__eq,axiom,
% 201.98/201.90 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.98/201.90 ( 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))
% 201.98/201.90 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 201.98/201.90 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_in__listsp__conv__set,axiom,
% 201.98/201.90 ! [V_xs_2,V_A_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsp_Oequations_I1_J,axiom,
% 201.98/201.90 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsp__mono,axiom,
% 201.98/201.90 ! [V_B_2,V_A_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsp__lists__eq,axiom,
% 201.98/201.90 ! [V_x_2,V_A_2,T_b] :
% 201.98/201.90 ( 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))
% 201.98/201.90 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_product_Osimps_I2_J,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__def,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 201.98/201.90 <=> ( 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)
% 201.98/201.90 & ! [B_x] :
% 201.98/201.90 ( 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))))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__map2,axiom,
% 201.98/201.90 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2))
% 201.98/201.90 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__map1,axiom,
% 201.98/201.90 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2)
% 201.98/201.90 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__Nil,axiom,
% 201.98/201.90 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 201.98/201.90 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__Nil2,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 201.98/201.90 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__lengthD,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__eq,axiom,
% 201.98/201.90 ! [T_b,V_ys_2,V_xs_2] :
% 201.98/201.90 ( V_xs_2 = V_ys_2
% 201.98/201.90 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__takeI,axiom,
% 201.98/201.90 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 201.98/201.90 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__Cons,axiom,
% 201.98/201.90 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))
% 201.98/201.90 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 201.98/201.90 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__append,axiom,
% 201.98/201.90 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2))
% 201.98/201.90 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 201.98/201.90 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__appendI,axiom,
% 201.98/201.90 ! [V_d_2,V_ca_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 201.98/201.90 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_ca_2,V_d_2)
% 201.98/201.90 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__dropI,axiom,
% 201.98/201.90 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 201.98/201.90 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_product_Osimps_I1_J,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__conv__all__nth,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 201.98/201.90 <=> ( 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)
% 201.98/201.90 & ! [B_i] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__nthD,axiom,
% 201.98/201.90 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__nthD2,axiom,
% 201.98/201.90 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__update__cong,axiom,
% 201.98/201.90 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 201.98/201.90 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__update__cong2,axiom,
% 201.98/201.90 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__product,axiom,
% 201.98/201.90 ! [V_ys,T_b,V_xs,T_a] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_product__list__set,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sublists__powset,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__sublists,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sublists_Osimps_I1_J,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sublists_Osimps_I2_J,axiom,
% 201.98/201.90 ! [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))))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__set__sublists,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => 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)))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__n__lists,axiom,
% 201.98/201.90 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_enum__the__def,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__n__lists,axiom,
% 201.98/201.90 ! [V_n,V_xs,T_a] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_n__lists__Nil,axiom,
% 201.98/201.90 ! [T_a,V_n] :
% 201.98/201.90 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.90 => 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))) )
% 201.98/201.90 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.90 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_n__lists_Osimps_I1_J,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__n__lists,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__n__lists__elem,axiom,
% 201.98/201.90 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))))
% 201.98/201.90 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2I,axiom,
% 201.98/201.90 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 201.98/201.90 ( ! [B_x] :
% 201.98/201.90 ( 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))))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 201.98/201.90 => ( 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)
% 201.98/201.90 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_all__nth__imp__all__set,axiom,
% 201.98/201.90 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 201.98/201.90 ( ! [B_i] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 201.98/201.90 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__removeAll__inj__on,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__remdups,axiom,
% 201.98/201.90 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__remdups__leq,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__remdups__id,axiom,
% 201.98/201.90 ! [V_xs,T_a] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.90 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__removeAll,axiom,
% 201.98/201.90 ! [V_x,V_xs,T_a] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remdups__id__iff__distinct,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 201.98/201.90 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__remdups__eq,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( 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)
% 201.98/201.90 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__remdups,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remdups__remdups,axiom,
% 201.98/201.90 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_removeAll__append,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_removeAll_Osimps_I2_J,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_y,V_x] :
% 201.98/201.90 ( ( V_x = V_y
% 201.98/201.90 => 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) )
% 201.98/201.90 & ( V_x != V_y
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remdups__eq__nil__iff,axiom,
% 201.98/201.90 ! [V_x_2,T_b] :
% 201.98/201.90 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 201.98/201.90 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_removeAll_Osimps_I1_J,axiom,
% 201.98/201.90 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remdups__eq__nil__right__iff,axiom,
% 201.98/201.90 ! [V_x_2,T_b] :
% 201.98/201.90 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 201.98/201.90 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remdups_Osimps_I1_J,axiom,
% 201.98/201.90 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remdups__map__remdups,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remove1__remdups,axiom,
% 201.98/201.90 ! [V_x,V_xs,T_a] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_removeAll__id,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__remove1__removeAll,axiom,
% 201.98/201.90 ! [V_x,V_xs,T_a] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.90 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remdups_Osimps_I2_J,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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) )
% 201.98/201.90 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__remdups__card__conv,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__removeAll__inj,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__removeAll,axiom,
% 201.98/201.90 ! [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)))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__remdups__concat,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_concat__conv__foldl,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__conv__concat,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sort__key__simps_I1_J,axiom,
% 201.98/201.90 ! [V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__sort,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__sort,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__sort,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 201.98/201.90 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_concat_Osimps_I1_J,axiom,
% 201.98/201.90 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_concat_Osimps_I2_J,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_concat__eq__Nil__conv,axiom,
% 201.98/201.90 ! [V_xss_2,T_b] :
% 201.98/201.90 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 201.98/201.90 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Nil__eq__concat__conv,axiom,
% 201.98/201.90 ! [V_xss_2,T_b] :
% 201.98/201.90 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 201.98/201.90 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__concat,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__concat,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__concat,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sort__key__simps_I2_J,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_concat__append,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sort__foldl__insort,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_concat__eq__concat__iff,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.90 ( ! [B_x] :
% 201.98/201.90 ( 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))))
% 201.98/201.90 => 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)) )
% 201.98/201.90 => ( 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)
% 201.98/201.90 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 201.98/201.90 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_concat__injective,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.90 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 201.98/201.90 => ( 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)
% 201.98/201.90 => ( ! [B_x] :
% 201.98/201.90 ( 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))))
% 201.98/201.90 => 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)) )
% 201.98/201.90 => V_xs_2 = V_ys_2 ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_concat__map__singleton,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_n__lists_Osimps_I2_J,axiom,
% 201.98/201.90 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose_Osimps_I3_J,axiom,
% 201.98/201.90 ! [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))))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__aux__filter__head,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__concat,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__sort,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__filter,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__filter__le,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sum__length__filter__compl,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__id__conv,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__is__subset,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__remove1,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_Qa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Qa_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remove1__filter__not,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 201.98/201.90 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__filter,axiom,
% 201.98/201.90 ! [V_xs_2,V_Qa_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Qa_2)),V_Pa_2)),V_xs_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__insort__triv,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_partition__filter1,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__map,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__append,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter_Osimps_I2_J,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 201.98/201.90 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) )
% 201.98/201.90 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter_Osimps_I1_J,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose_Osimps_I1_J,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__empty__conv,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_remdups__filter,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_removeAll__filter__not,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 201.98/201.90 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_removeAll__filter__not__eq,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_partition__filter2,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose_Osimps_I2_J,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nth__transpose,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_i_2] :
% 201.98/201.90 ( 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))))
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__map__map,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__filter,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__filter__map,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__filter__less,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_partition__filter__conv,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__minus__filter__out,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__in__sublist,axiom,
% 201.98/201.90 ! [V_s_2,V_xs_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__empty,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.90 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__filter__conv__card,axiom,
% 201.98/201.90 ! [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))))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__aux__filter__tail,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose_Opsimps_I3_J,axiom,
% 201.98/201.90 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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))))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose_Opsimps_I2_J,axiom,
% 201.98/201.90 ! [V_xss_2,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sublist__shift__lemma__Suc,axiom,
% 201.98/201.90 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_pick__drop__zero,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_select__weigth__drop__zero,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose_Opsimps_I1_J,axiom,
% 201.98/201.90 ! [T_b] :
% 201.98/201.90 ( 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))))
% 201.98/201.90 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__max__length,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__aux__max,axiom,
% 201.98/201.90 ! [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)))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldr__append,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldr_Osimps_I2_J,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldr_Osimps_I1_J,axiom,
% 201.98/201.90 ! [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 ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldr__conv__foldl,axiom,
% 201.98/201.90 ! [V_a_2,V_xs_2,T_b] :
% 201.98/201.90 ( class_Groups_Oab__semigroup__add(T_b)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldr__map,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__foldr1,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( class_Groups_Omonoid__add(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__foldr1__lemma,axiom,
% 201.98/201.90 ! [V_xs_2,V_a_2,T_b] :
% 201.98/201.90 ( class_Groups_Omonoid__add(T_b)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__transpose,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sublist__def,axiom,
% 201.98/201.90 ! [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))))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sublist__shift__lemma,axiom,
% 201.98/201.90 ! [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))))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__upt,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_atLeastLessThan__upt,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__0,axiom,
% 201.98/201.90 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__eq__Nil__conv,axiom,
% 201.98/201.90 ! [V_j_2,V_i_2] :
% 201.98/201.90 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 201.98/201.90 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.90 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__conv__Nil,axiom,
% 201.98/201.90 ! [V_i,V_j] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 201.98/201.90 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__conv__Cons,axiom,
% 201.98/201.90 ! [V_j,V_i] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__rec,axiom,
% 201.98/201.90 ! [V_j,V_i] :
% 201.98/201.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => 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)) )
% 201.98/201.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__add__eq__append,axiom,
% 201.98/201.90 ! [V_k,V_j,V_i] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__Suc__append,axiom,
% 201.98/201.90 ! [V_j,V_i] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__Suc,axiom,
% 201.98/201.90 ! [V_j,V_i] :
% 201.98/201.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => 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))) )
% 201.98/201.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_drop__upt,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__upt,axiom,
% 201.98/201.90 ! [V_j,V_i] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__list__of__set__range,axiom,
% 201.98/201.90 ! [V_n_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = c_List_Oupt(V_m_2,V_n_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_take__upt,axiom,
% 201.98/201.90 ! [V_n,V_m,V_i] :
% 201.98/201.90 ( 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))
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__upt,axiom,
% 201.98/201.90 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__upt,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__rec__number__of,axiom,
% 201.98/201.90 ! [V_n,V_m] :
% 201.98/201.90 ( ( 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)))
% 201.98/201.90 => 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))) )
% 201.98/201.90 & ( ~ 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)))
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_upt__eq__Cons__conv,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 201.98/201.90 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 201.98/201.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 201.98/201.90 & V_i_2 = V_x_2
% 201.98/201.90 & 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 ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__upt,axiom,
% 201.98/201.90 ! [V_j,V_i] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__Suc__upt,axiom,
% 201.98/201.90 ! [V_n_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_n_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_atLeastAtMost__upt,axiom,
% 201.98/201.90 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_n_2,hAPP(c_Nat_OSuc,V_m_2))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_atLeast__upt,axiom,
% 201.98/201.90 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nth__upt,axiom,
% 201.98/201.90 ! [V_j,V_k,V_i] :
% 201.98/201.90 ( 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))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_greaterThanAtMost__upt,axiom,
% 201.98/201.90 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_greaterThanLessThan__upt,axiom,
% 201.98/201.90 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),V_m_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_atMost__upto,axiom,
% 201.98/201.90 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__nth,axiom,
% 201.98/201.90 ! [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 ).
% 201.98/201.90
% 201.98/201.90 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 201.98/201.90 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 201.98/201.90 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.90 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 201.98/201.90 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 201.98/201.90 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.98/201.90 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nth__map__upt,axiom,
% 201.98/201.90 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2)))
% 201.98/201.90 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__rectangle,axiom,
% 201.98/201.90 ! [V_n_2,T_b,V_xs_2] :
% 201.98/201.90 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 201.98/201.90 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.98/201.90 => ( ! [B_i] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 )
% 201.98/201.90 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__key__remove1,axiom,
% 201.98/201.90 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 201.98/201.90 => ( 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
% 201.98/201.90 => 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 ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted_ONil,axiom,
% 201.98/201.90 ! [T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__single,axiom,
% 201.98/201.90 ! [V_x,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__upt,axiom,
% 201.98/201.90 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__sort,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__insort__insert,axiom,
% 201.98/201.90 ! [V_x_2,V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__tl,axiom,
% 201.98/201.90 ! [V_xs,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__remove1,axiom,
% 201.98/201.90 ! [V_a,V_xs,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__take,axiom,
% 201.98/201.90 ! [V_n,V_xs,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__upto,axiom,
% 201.98/201.90 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__drop,axiom,
% 201.98/201.90 ! [V_n,V_xs,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__insort,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( 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))
% 201.98/201.90 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__many,axiom,
% 201.98/201.90 ! [V_zs,V_y,V_x,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 201.98/201.90 => 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))) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__many__eq,axiom,
% 201.98/201.90 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( 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)))
% 201.98/201.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.98/201.90 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted_Oequations_I1_J,axiom,
% 201.98/201.90 ! [T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__butlast,axiom,
% 201.98/201.90 ! [V_xs,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__remdups,axiom,
% 201.98/201.90 ! [V_l,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__distinct__set__unique,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 201.98/201.90 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 201.98/201.90 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__sort__key,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__insort__insert__key,axiom,
% 201.98/201.90 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 201.98/201.90 => 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))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__map__remove1,axiom,
% 201.98/201.90 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 201.98/201.90 => 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))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__insort__key,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( 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)))
% 201.98/201.90 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__filter,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__map__same,axiom,
% 201.98/201.90 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__same,axiom,
% 201.98/201.90 ! [V_xs_2,V_g_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__Cons,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 201.98/201.90 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.98/201.90 & ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__append,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 201.98/201.90 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.98/201.90 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 201.98/201.90 & ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => ! [B_xa] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__insort,axiom,
% 201.98/201.90 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 201.98/201.90 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted_Oequations_I2_J,axiom,
% 201.98/201.90 ! [V_a1_2,V_a2_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 201.98/201.90 <=> ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 201.98/201.90 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__list__of__set,axiom,
% 201.98/201.90 ! [V_A_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.90 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 201.98/201.90 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 201.98/201.90 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__remove1,axiom,
% 201.98/201.90 ! [V_xs_2,V_a_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.98/201.90 => 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 ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__equals__nth__mono,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.98/201.90 <=> ! [B_j] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => ! [B_i] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 201.98/201.90 => 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))) ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__nth__mono,axiom,
% 201.98/201.90 ! [V_j,V_i,V_xs,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => 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))) ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_map__sorted__distinct__set__unique,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 201.98/201.90 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 201.98/201.90 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__column,axiom,
% 201.98/201.90 ! [V_i_2,V_xs_2,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nth__nth__transpose__sorted,axiom,
% 201.98/201.90 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => ( 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))))
% 201.98/201.90 => ( 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))))
% 201.98/201.90 => 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) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_inj__on__rev,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__rev,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 201.98/201.90 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__append,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_singleton__rev__conv,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( 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)
% 201.98/201.90 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__singleton__conv,axiom,
% 201.98/201.90 ! [V_x_2,V_xs_2,T_b] :
% 201.98/201.90 ( 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))
% 201.98/201.90 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__is__Nil__conv,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.98/201.90 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Nil__is__rev__conv,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 201.98/201.90 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev_Osimps_I1_J,axiom,
% 201.98/201.90 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__concat,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__map,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__filter,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__rev,axiom,
% 201.98/201.90 ! [V_ys,T_b,V_xs,T_a] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__rev,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__rev,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2))
% 201.98/201.90 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__rev1,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 201.98/201.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 201.98/201.90 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__rev__ident,axiom,
% 201.98/201.90 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__swap,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.90 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 201.98/201.90 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__is__rev__conv,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,T_b] :
% 201.98/201.90 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 201.98/201.90 <=> V_xs_2 = V_ys_2 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__rev,axiom,
% 201.98/201.90 ! [V_xs,T_a] :
% 201.98/201.90 ( class_Groups_Ocomm__monoid__add(T_a)
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__rev,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__foldr,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldr__foldl,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__eq__Cons__iff,axiom,
% 201.98/201.90 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 201.98/201.90 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 201.98/201.90 <=> 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev_Osimps_I2_J,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__rev,axiom,
% 201.98/201.90 ! [T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_last__rev,axiom,
% 201.98/201.90 ! [T_a,V_xs] :
% 201.98/201.90 ( V_xs != c_List_Olist_ONil(T_a)
% 201.98/201.90 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__transpose,axiom,
% 201.98/201.90 ! [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)))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__foldl__cons,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__drop,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__take,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rotate__rev,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__nth,axiom,
% 201.98/201.90 ! [V_xs,T_a,V_n] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_rev__update,axiom,
% 201.98/201.90 ! [V_y,V_xs,T_a,V_k] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__rev__nth__mono,axiom,
% 201.98/201.90 ! [V_j,V_i,V_xs,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => 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))) ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldr__max__sorted,axiom,
% 201.98/201.90 ! [V_y_2,V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 201.98/201.90 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 201.98/201.90 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 201.98/201.90 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.98/201.90 => 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) ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__transpose__sorted,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 201.98/201.90 => 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) )
% 201.98/201.90 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 201.98/201.90 => 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))) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__column__length,axiom,
% 201.98/201.90 ! [V_i_2,V_xs_2,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transpose__transpose,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 201.98/201.90 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__takeWhile,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__takeWhile__le,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__eq__all__conv,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_set__takeWhileD,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__takeWhile__fst,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__takeWhile__snd,axiom,
% 201.98/201.90 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__map,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 201.98/201.90 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) )
% 201.98/201.90 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__tail,axiom,
% 201.98/201.90 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 201.98/201.90 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__eq__take,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__takeWhile,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_return__list__def,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__append1,axiom,
% 201.98/201.90 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__nth,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 201.98/201.90 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_nth__length__takeWhile,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.90 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__not__last,axiom,
% 201.98/201.90 ! [T_b,V_xs_2] :
% 201.98/201.90 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.98/201.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 201.98/201.90 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 201.98/201.90 ! [V_l] :
% 201.98/201.90 ( c_List_Onat__list(V_l)
% 201.98/201.90 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 201.98/201.90 ! [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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_embed__list__def,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__neq__rev,axiom,
% 201.98/201.90 ! [V_x_2,V_xs_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile__neq__rev,axiom,
% 201.98/201.90 ! [V_x_2,V_xs_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__dropWhile__id,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ).
% 201.98/201.90
% 201.98/201.90 fof(fact_hd__dropWhile,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 201.98/201.90 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__dropWhile,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__dropWhile__le,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 201.98/201.90 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) )
% 201.98/201.90 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__dropWhile,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile__map,axiom,
% 201.98/201.90 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile__append1,axiom,
% 201.98/201.90 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 201.98/201.90 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 201.98/201.90 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 201.98/201.90 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile__eq__drop,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile__nth,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 201.98/201.90 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_listsum__map__filter,axiom,
% 201.98/201.90 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 201.98/201.90 ( class_Groups_Omonoid__add(T_c)
% 201.98/201.90 => ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.90 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 201.98/201.90 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted__nth__monoI,axiom,
% 201.98/201.90 ! [V_xs,T_a] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_a)
% 201.98/201.90 => ( ! [B_i,B_j] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => 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))) ) )
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__eq__filter,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 201.98/201.90 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.90 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 201.98/201.90 ( ! [B_i] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 201.98/201.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.90 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 201.98/201.90 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_length__takeWhile__less__P__nth,axiom,
% 201.98/201.90 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 201.98/201.90 ( ! [B_i] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 201.98/201.90 => ( 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)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted_Osimps,axiom,
% 201.98/201.90 ! [V_a_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 201.98/201.90 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 201.98/201.90 | ? [B_xs,B_x] :
% 201.98/201.90 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 201.98/201.90 & ! [B_xa] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 201.98/201.90 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_List_Oinsert__def,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 201.98/201.90 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_not__in__set__insert,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insert__remdups,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__insert,axiom,
% 201.98/201.90 ! [V_x,V_xs,T_a] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_in__set__insert,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_List_Oset__insert,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insert__Nil,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_maps__def,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_concat__map__maps,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_maps__simps_I2_J,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_maps__simps_I1_J,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_distinct__concat,axiom,
% 201.98/201.90 ! [V_xs_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 201.98/201.90 => ( ! [B_ys] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 201.98/201.90 => ( ! [B_ys] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.90 => ! [B_zs] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.90 => ( B_ys != B_zs
% 201.98/201.90 => 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)) ) ) )
% 201.98/201.90 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_measures__lesseq,axiom,
% 201.98/201.90 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => ( hBOOL(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)))
% 201.98/201.90 => hBOOL(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)))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_wf__measures,axiom,
% 201.98/201.90 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_in__measures_I1_J,axiom,
% 201.98/201.90 ! [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))))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_measures__def,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_in__measures_I2_J,axiom,
% 201.98/201.90 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(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))))
% 201.98/201.90 <=> ( 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)))
% 201.98/201.90 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.98/201.90 & hBOOL(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))) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_measures__less,axiom,
% 201.98/201.90 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => hBOOL(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)))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_foldl__apply,axiom,
% 201.98/201.90 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 201.98/201.90 ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => 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)) )
% 201.98/201.90 => 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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_order__fun_I2_J,axiom,
% 201.98/201.90 ! [V_g_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( ( class_Orderings_Oorder(T_c)
% 201.98/201.90 & class_Enum_Oenum(T_b) )
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.98/201.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.98/201.90 & 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)))) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_enum__ex__prod__def,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b,T_c] :
% 201.98/201.90 ( ( class_Enum_Oenum(T_c)
% 201.98/201.90 & class_Enum_Oenum(T_b) )
% 201.98/201.90 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 201.98/201.90 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_enum__ex,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] :
% 201.98/201.90 ( class_Enum_Oenum(T_b)
% 201.98/201.90 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 201.98/201.90 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_exists__code,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] :
% 201.98/201.90 ( class_Enum_Oenum(T_b)
% 201.98/201.90 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 201.98/201.90 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_zip__obtain__same__length,axiom,
% 201.98/201.90 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 201.98/201.90 ( ( 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))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) )
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_pos__not__random__dseq__def,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_dropWhile__append2,axiom,
% 201.98/201.90 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 201.98/201.90 ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.90 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all2__all__nthI,axiom,
% 201.98/201.90 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 201.98/201.90 ( 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)
% 201.98/201.90 => ( ! [B_n] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 201.98/201.90 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_finite__sorted__distinct__unique,axiom,
% 201.98/201.90 ! [V_A_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.90 => ? [B_x] :
% 201.98/201.90 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 201.98/201.90 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 201.98/201.90 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 201.98/201.90 & ! [B_y] :
% 201.98/201.90 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 201.98/201.90 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 201.98/201.90 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 201.98/201.90 => B_y = B_x ) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_takeWhile__append2,axiom,
% 201.98/201.90 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 201.98/201.90 ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.90 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_insort__is__Cons,axiom,
% 201.98/201.90 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_c)
% 201.98/201.90 => ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 201.98/201.90 => 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) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Cons__eq__filter__iff,axiom,
% 201.98/201.90 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)
% 201.98/201.90 <=> ? [B_us,B_vs] :
% 201.98/201.90 ( 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))
% 201.98/201.90 & ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 201.98/201.90 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.90 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_filter__eq__Cons__iff,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 201.98/201.90 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 201.98/201.90 <=> ? [B_us,B_vs] :
% 201.98/201.90 ( 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))
% 201.98/201.90 & ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 201.98/201.90 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.90 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_order__fun_I1_J,axiom,
% 201.98/201.90 ! [V_g_2,V_f_2,T_b,T_c] :
% 201.98/201.90 ( ( class_Orderings_Oorder(T_c)
% 201.98/201.90 & class_Enum_Oenum(T_b) )
% 201.98/201.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.98/201.90 <=> 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))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_all__code,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] :
% 201.98/201.90 ( class_Enum_Oenum(T_b)
% 201.98/201.90 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 201.98/201.90 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_enum__all,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] :
% 201.98/201.90 ( class_Enum_Oenum(T_b)
% 201.98/201.90 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 201.98/201.90 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_enum__all__prod__def,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b,T_c] :
% 201.98/201.90 ( ( class_Enum_Oenum(T_c)
% 201.98/201.90 & class_Enum_Oenum(T_b) )
% 201.98/201.90 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 201.98/201.90 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ball__nth,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 201.98/201.90 => ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_sorted_OCons,axiom,
% 201.98/201.90 ! [V_x_2,V_xs_2,T_b] :
% 201.98/201.90 ( class_Orderings_Olinorder(T_b)
% 201.98/201.90 => ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 201.98/201.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.98/201.90 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ex__length,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 201.98/201.90 <=> ? [B_n] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_in__set__conv__decomp,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 <=> ? [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)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ex__simps_I2_J,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ex__append,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 201.98/201.90 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 201.98/201.90 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ex__iff,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 201.98/201.90 <=> ? [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ex__rev,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 201.98/201.90 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ex__simps_I1_J,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 201.98/201.90 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_in__set__conv__decomp__first,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 <=> ? [B_ys] :
% 201.98/201.90 ( ? [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))
% 201.98/201.90 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_in__set__conv__decomp__last,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 <=> ? [B_ys,B_zs] :
% 201.98/201.90 ( 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))
% 201.98/201.90 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all__length,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 201.98/201.90 <=> ! [B_n] :
% 201.98/201.90 ( 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)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_measure__function__int,axiom,
% 201.98/201.90 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))) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all__simps_I2_J,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all__append,axiom,
% 201.98/201.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 201.98/201.90 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 201.98/201.90 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_measure__size,axiom,
% 201.98/201.90 ! [T_b] :
% 201.98/201.90 ( class_Nat_Osize(T_b)
% 201.98/201.90 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_is__measure_Osimps,axiom,
% 201.98/201.90 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_is__measure_Oequations,axiom,
% 201.98/201.90 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_is__measure_Ointros,axiom,
% 201.98/201.90 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all__iff,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_measure__snd,axiom,
% 201.98/201.90 ! [T_c,V_f_2,T_b] :
% 201.98/201.90 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_measure__fst,axiom,
% 201.98/201.90 ! [T_c,V_f_2,T_b] :
% 201.98/201.90 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 201.98/201.90 => 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))) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all__rev,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 201.98/201.90 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all__simps_I1_J,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 201.98/201.90 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_Ball__set__list__all,axiom,
% 201.98/201.90 ! [V_Pa_2,V_xs_2,T_b] :
% 201.98/201.90 ( ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.90 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__all__iff__raw,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 201.98/201.90 <=> ! [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ex1__simps_I2_J,axiom,
% 201.98/201.90 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 201.98/201.90 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 201.98/201.90 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.90 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_transfer__morphism__int__nat,axiom,
% 201.98/201.90 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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ex1__simps_I1_J,axiom,
% 201.98/201.90 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_bool_Osize_I3_J,axiom,
% 201.98/201.90 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_bool_Osize_I4_J,axiom,
% 201.98/201.90 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_list__ex1__iff,axiom,
% 201.98/201.90 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.90 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 201.98/201.90 <=> ? [B_x] :
% 201.98/201.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 & hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.90 & ! [B_y] :
% 201.98/201.90 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.90 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 201.98/201.90 => B_y = B_x ) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 201.98/201.90 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 201.98/201.90 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.98/201.90 => 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) )
% 201.98/201.90 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 201.98/201.90 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 201.98/201.90 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.98/201.90 => 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) )
% 201.98/201.90 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.98/201.90 => 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)) ) ) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 201.98/201.90 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_pos__empty__def,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_neg__bind__def,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_neg__map__def,axiom,
% 201.98/201.90 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_neg__single__def,axiom,
% 201.98/201.90 ! [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) ).
% 201.98/201.90
% 201.98/201.90 fof(fact_pos__bind__def,axiom,
% 201.98/201.90 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_pos__map__def,axiom,
% 201.98/201.91 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_pos__single__def,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_length__splice,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_splice_Osimps_I3_J,axiom,
% 201.98/201.91 ! [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))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_splice_Osimps_I1_J,axiom,
% 201.98/201.91 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 201.98/201.91
% 201.98/201.91 fof(fact_splice__Nil2,axiom,
% 201.98/201.91 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 201.98/201.91
% 201.98/201.91 fof(fact_splice_Osimps_I2_J,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_New__DSequence_Opos__single__def,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_acyclicP__converse,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( 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))))
% 201.98/201.91 <=> 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))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_converse__meet,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_converse__join,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_converse__pred__comp,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_conversepD,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_conversep_Ointros,axiom,
% 201.98/201.91 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_conversep_Oequations,axiom,
% 201.98/201.91 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_conversep__iff,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_conversep__conversep,axiom,
% 201.98/201.91 ! [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 ).
% 201.98/201.91
% 201.98/201.91 fof(fact_conversep__eq,axiom,
% 201.98/201.91 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 201.98/201.91
% 201.98/201.91 fof(fact_conversep__noteq,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.91 ( 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))
% 201.98/201.91 <=> V_x_2 != V_y_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_conversep__converse__eq,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 201.98/201.91 ( 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))
% 201.98/201.91 <=> 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))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_,axiom,
% 201.98/201.91 ! [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)))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_tl__replicate,axiom,
% 201.98/201.91 ! [V_x,T_a,V_n] :
% 201.98/201.91 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.91 => 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) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_replicate__length__filter,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_length__replicate,axiom,
% 201.98/201.91 ! [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 ).
% 201.98/201.91
% 201.98/201.91 fof(fact_map__replicate__const,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_replicate__app__Cons__same,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_replicate__Suc,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_rev__replicate,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_take__replicate,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_hd__replicate,axiom,
% 201.98/201.91 ! [V_x,T_a,V_n] :
% 201.98/201.91 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.91 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_drop__replicate,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_last__replicate,axiom,
% 201.98/201.91 ! [V_x,T_a,V_n] :
% 201.98/201.91 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.91 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_zip__replicate,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Bex__set__replicate,axiom,
% 201.98/201.91 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 201.98/201.91 ( ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 201.98/201.91 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.91 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 201.98/201.91 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Ball__set__replicate,axiom,
% 201.98/201.91 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 201.98/201.91 ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 201.98/201.91 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.91 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 201.98/201.91 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_replicate__eq__replicate,axiom,
% 201.98/201.91 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 201.98/201.91 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 201.98/201.91 <=> ( V_m_2 = V_n_2
% 201.98/201.91 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.91 => V_x_2 = V_y_2 ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_nth__replicate,axiom,
% 201.98/201.91 ! [V_x,T_a,V_n,V_i] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 201.98/201.91 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_replicate__add,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_append__replicate__commute,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_filter__replicate,axiom,
% 201.98/201.91 ! [V_n_2,T_b,V_x_2,V_Pa_2] :
% 201.98/201.91 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.91 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) )
% 201.98/201.91 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 201.98/201.91 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_concat__replicate__trivial,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_replicate__0,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_empty__replicate,axiom,
% 201.98/201.91 ! [V_x_2,V_n_2,T_b] :
% 201.98/201.91 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 201.98/201.91 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_replicate__empty,axiom,
% 201.98/201.91 ! [V_x_2,V_n_2,T_b] :
% 201.98/201.91 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 201.98/201.91 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_map__replicate,axiom,
% 201.98/201.91 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_in__set__replicate,axiom,
% 201.98/201.91 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2))))
% 201.98/201.91 <=> ( V_x_2 = V_y_2
% 201.98/201.91 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_replicate__append__same,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_map__replicate__trivial,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_set__replicate__conv__if,axiom,
% 201.98/201.91 ! [V_x_2,T_b,V_n_2] :
% 201.98/201.91 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.91 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 201.98/201.91 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.91 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_set__replicate,axiom,
% 201.98/201.91 ! [V_x_2,T_b,V_n_2] :
% 201.98/201.91 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.98/201.91 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_set__replicate__Suc,axiom,
% 201.98/201.91 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_small__lazy__list_Osimps,axiom,
% 201.98/201.91 ! [V_d_2,T_b] :
% 201.98/201.91 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 201.98/201.91 => 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)))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_eq__comp__r,axiom,
% 201.98/201.91 ! [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 ).
% 201.98/201.91
% 201.98/201.91 fof(fact_small__lazy__prod__def,axiom,
% 201.98/201.91 ! [V_d,T_b,T_a] :
% 201.98/201.91 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 201.98/201.91 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 201.98/201.91 => 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)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_New__DSequence_Opos__union__def,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 201.98/201.91 ! [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))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact__01,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Oinject,axiom,
% 201.98/201.91 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 201.98/201.91 ( 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)
% 201.98/201.91 <=> ( V_a_2 = V_a_H_2
% 201.98/201.91 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_pos__union__def,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 201.98/201.91 ! [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))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_small__lazy_H_Osimps,axiom,
% 201.98/201.91 ! [V_i,V_d] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 201.98/201.91 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 201.98/201.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 201.98/201.91 => 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)))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_small__lazy_H_Opsimps,axiom,
% 201.98/201.91 ! [V_i_2,V_d_2] :
% 201.98/201.91 ( 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)))
% 201.98/201.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 201.98/201.91 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 201.98/201.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 201.98/201.91 => 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)))) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_small__lazy__int__def,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_small__lazy_H_Opinduct,axiom,
% 201.98/201.91 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 201.98/201.91 ( 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)))
% 201.98/201.91 => ( ! [B_d,B_i] :
% 201.98/201.91 ( 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)))
% 201.98/201.91 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_size__code,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence__size__code,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_seq__case,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_yieldn__def,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_refl__on__INTER,axiom,
% 201.98/201.91 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 201.98/201.91 ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.98/201.91 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 201.98/201.91 => 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)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_List_Omember__def,axiom,
% 201.98/201.91 ! [V_x_2,V_xs_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_member__rec_I2_J,axiom,
% 201.98/201.91 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_member__set,axiom,
% 201.98/201.91 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_member__rec_I1_J,axiom,
% 201.98/201.91 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 201.98/201.91 ( 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))
% 201.98/201.91 <=> ( V_x_2 = V_y_2
% 201.98/201.91 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_in__set__member,axiom,
% 201.98/201.91 ! [V_xs_2,V_x_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_list__ex1__iff__raw,axiom,
% 201.98/201.91 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.91 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 201.98/201.91 <=> ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.91 & hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.91 & ! [B_y] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.91 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 201.98/201.91 => B_y = B_x ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_setsum__UNION__zero,axiom,
% 201.98/201.91 ! [V_f_2,V_S_2,T_b,T_c] :
% 201.98/201.91 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.98/201.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 201.98/201.91 => ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 201.98/201.91 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 201.98/201.91 => ( ! [B_T1] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 201.98/201.91 => ! [B_T2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 201.98/201.91 => ( B_T1 != B_T2
% 201.98/201.91 => ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 201.98/201.91 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 201.98/201.91 => 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) ) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_THE__default__def,axiom,
% 201.98/201.91 ! [V_d_2,T_b,V_Pa_2] :
% 201.98/201.91 ( ( ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.91 & ! [B_y] :
% 201.98/201.91 ( hBOOL(hAPP(V_Pa_2,B_y))
% 201.98/201.91 => B_y = B_x ) )
% 201.98/201.91 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 201.98/201.91 & ( ~ ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(V_Pa_2,B_x))
% 201.98/201.91 & ! [B_y] :
% 201.98/201.91 ( hBOOL(hAPP(V_Pa_2,B_y))
% 201.98/201.91 => B_y = B_x ) )
% 201.98/201.91 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_SUP2__E,axiom,
% 201.98/201.91 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 201.98/201.91 => ~ ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.91 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_INF2__I,axiom,
% 201.98/201.91 ! [T_d,T_c,V_ca_2,V_b_2,V_B_2,V_A_2,T_b] :
% 201.98/201.91 ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) )
% 201.98/201.91 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_finite__maxlen,axiom,
% 201.98/201.91 ! [V_M_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 201.98/201.91 => ? [B_n] :
% 201.98/201.91 ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 201.98/201.91 => 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)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact__02,axiom,
% 201.98/201.91 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 201.98/201.91 ! [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 ).
% 201.98/201.91
% 201.98/201.91 fof(fact_list__all__iff__all__interval__int,axiom,
% 201.98/201.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 201.98/201.91 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 201.98/201.91 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 201.98/201.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 201.98/201.91 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 201.98/201.91 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_all__interval__int__def,axiom,
% 201.98/201.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 201.98/201.91 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 201.98/201.91 <=> ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 201.98/201.91 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Random_Osimps,axiom,
% 201.98/201.91 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 201.98/201.91 ( ( 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)))
% 201.98/201.91 => 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)) )
% 201.98/201.91 & ( ~ 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)))
% 201.98/201.91 => 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))))))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_exE__realizer,axiom,
% 201.98/201.91 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2)))
% 201.98/201.91 => ( ! [B_x,B_y] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 201.98/201.91 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 201.98/201.91 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Random__Sequence_Oempty__def,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Random__Sequence_Osingle__def,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Random__Sequence_Omap__def,axiom,
% 201.98/201.91 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Image__Collect__split,axiom,
% 201.98/201.91 ! [V_A_2,V_Pa_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2)))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_list__ex__iff__raw,axiom,
% 201.98/201.91 ! [V_xs_2,V_Pa_2,T_b] :
% 201.98/201.91 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 201.98/201.91 <=> ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.91 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Bex__set__list__ex,axiom,
% 201.98/201.91 ! [V_Pa_2,V_xs_2,T_b] :
% 201.98/201.91 ( ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.98/201.91 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.91 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_SUPR__bool__eq,axiom,
% 201.98/201.91 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bex__empty,axiom,
% 201.98/201.91 ! [V_Pa_2,T_b] :
% 201.98/201.91 ~ ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 201.98/201.91 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_finite__Collect__bex,axiom,
% 201.98/201.91 ! [V_Qa_2,T_c,V_A_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Qa_2)))))
% 201.98/201.91 <=> ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.91 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Qa_2),B_x)))) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bex__UNIV,axiom,
% 201.98/201.91 ! [V_Pa_2,T_b] :
% 201.98/201.91 ( ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.98/201.91 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.91 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Union__eq,axiom,
% 201.98/201.91 ! [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)))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_UN__eq,axiom,
% 201.98/201.91 ! [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))))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_INT__eq,axiom,
% 201.98/201.91 ! [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))))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Sup__apply,axiom,
% 201.98/201.91 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.98/201.91 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.91 => 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)))))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Sup__fun__def,axiom,
% 201.98/201.91 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.98/201.91 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.91 => 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)))))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Inf__apply,axiom,
% 201.98/201.91 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.98/201.91 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.91 => 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)))))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Inf__fun__def,axiom,
% 201.98/201.91 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.98/201.91 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.98/201.91 => 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)))))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_max__extp_Ointros,axiom,
% 201.98/201.91 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 201.98/201.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 201.98/201.91 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.91 => ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 201.98/201.91 => ? [B_xa] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 201.98/201.91 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 201.98/201.91 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_max__extp_Osimps,axiom,
% 201.98/201.91 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 201.98/201.91 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 201.98/201.91 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 201.98/201.91 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 201.98/201.91 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.98/201.91 & ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 201.98/201.91 => ? [B_xa] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 201.98/201.91 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_fun__lub__def,axiom,
% 201.98/201.91 ! [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)))))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lexord__trans,axiom,
% 201.98/201.91 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 201.98/201.91 => ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__less__than,axiom,
% 201.98/201.91 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__lex__prod,axiom,
% 201.98/201.91 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_R1_2)
% 201.98/201.91 => ( c_Relation_Otrans(T_c,V_R2_2)
% 201.98/201.91 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__inv__image,axiom,
% 201.98/201.91 ! [V_f_2,T_c,V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__reflclI,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => 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))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__Int,axiom,
% 201.98/201.91 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => ( c_Relation_Otrans(T_b,V_s_2)
% 201.98/201.91 => 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)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__rtrancl,axiom,
% 201.98/201.91 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__Id,axiom,
% 201.98/201.91 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__trancl,axiom,
% 201.98/201.91 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trancl__id,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__Id__on,axiom,
% 201.98/201.91 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__finite__psubset,axiom,
% 201.98/201.91 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lexord__transI,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_listrel__trans,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__converse,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.98/201.91 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__O__subset,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => 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)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__def,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 <=> ! [B_x,B_y] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => ! [B_z] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => 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)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_transD,axiom,
% 201.98/201.91 ! [V_ca_2,V_b_2,V_a_2,V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => ( 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))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ca_2)),V_r_2)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_transp__def,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Predicate_Otransp(T_b,V_r_2)
% 201.98/201.91 <=> 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))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_trans__diff__Id,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => ( c_Relation_Oantisym(T_b,V_r_2)
% 201.98/201.91 => 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))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_antisym__Id__on,axiom,
% 201.98/201.91 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_antisym__converse,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.98/201.91 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_antisym__empty,axiom,
% 201.98/201.91 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_transpE,axiom,
% 201.98/201.91 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 201.98/201.91 ( c_Predicate_Otransp(T_b,V_r_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_antisym__Id,axiom,
% 201.98/201.91 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_antisym__subset,axiom,
% 201.98/201.91 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => ( c_Relation_Oantisym(T_b,V_s_2)
% 201.98/201.91 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_antisym__def,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Oantisym(T_b,V_r_2)
% 201.98/201.91 <=> ! [B_x,B_y] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => ( 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))
% 201.98/201.91 => B_x = B_y ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_antisymD,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Oantisym(T_b,V_r_2)
% 201.98/201.91 => ( 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))
% 201.98/201.91 => ( 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))
% 201.98/201.91 => V_a_2 = V_b_2 ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_antisym__reflcl,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( 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)))
% 201.98/201.91 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.98/201.91 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_equivp__reflp__symp__transp,axiom,
% 201.98/201.91 ! [V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.91 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 201.98/201.91 & c_Predicate_Osymp(T_b,V_R_2)
% 201.98/201.91 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_equivpI,axiom,
% 201.98/201.91 ! [V_R_2,T_b] :
% 201.98/201.91 ( c_Predicate_Oreflp(T_b,V_R_2)
% 201.98/201.91 => ( c_Predicate_Osymp(T_b,V_R_2)
% 201.98/201.91 => ( c_Predicate_Otransp(T_b,V_R_2)
% 201.98/201.91 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sympE,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 201.98/201.91 ( c_Predicate_Osymp(T_b,V_r_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_equivpE,axiom,
% 201.98/201.91 ! [V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.91 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 201.98/201.91 => ( c_Predicate_Osymp(T_b,V_R_2)
% 201.98/201.91 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__trans__comp__subset,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => 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)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_part__equivp__refl__symp__transp,axiom,
% 201.98/201.91 ! [V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.98/201.91 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.98/201.91 & c_Predicate_Osymp(T_b,V_R_2)
% 201.98/201.91 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_symD,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => ( 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))
% 201.98/201.91 => 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)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__def,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 <=> ! [B_x,B_y] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => 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)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__conv__converse__eq,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__converse,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.98/201.91 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_listrel__sym,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__Id__on,axiom,
% 201.98/201.91 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_part__equivp__def,axiom,
% 201.98/201.91 ! [V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.98/201.91 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.98/201.91 & ! [B_x,B_y] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 201.98/201.91 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.98/201.91 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 201.98/201.91 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_part__equivp__symp,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_part__equivp__transp,axiom,
% 201.98/201.91 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__trancl,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__Un,axiom,
% 201.98/201.91 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => ( c_Relation_Osym(T_b,V_s_2)
% 201.98/201.91 => 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)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__Id,axiom,
% 201.98/201.91 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__rtrancl,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_equivp__implies__part__equivp,axiom,
% 201.98/201.91 ! [V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.91 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__Int,axiom,
% 201.98/201.91 ! [V_s_2,V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => ( c_Relation_Osym(T_b,V_s_2)
% 201.98/201.91 => 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)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__Un__converse,axiom,
% 201.98/201.91 ! [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))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__inv__image,axiom,
% 201.98/201.91 ! [V_f_2,T_c,V_r_2,T_b] :
% 201.98/201.91 ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_sym__Int__converse,axiom,
% 201.98/201.91 ! [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))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_equiv__def,axiom,
% 201.98/201.91 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.91 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.91 & c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_equivI,axiom,
% 201.98/201.91 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.91 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.91 => ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => ( c_Relation_Otrans(T_b,V_r_2)
% 201.98/201.91 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_equivE,axiom,
% 201.98/201.91 ! [V_r_2,V_A_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.98/201.91 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.98/201.91 => ( c_Relation_Osym(T_b,V_r_2)
% 201.98/201.91 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_symp__def,axiom,
% 201.98/201.91 ! [V_r_2,T_b] :
% 201.98/201.91 ( c_Predicate_Osymp(T_b,V_r_2)
% 201.98/201.91 <=> 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))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_part__equivpI,axiom,
% 201.98/201.91 ! [T_b,V_R_2] :
% 201.98/201.91 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.98/201.91 => ( c_Predicate_Osymp(T_b,V_R_2)
% 201.98/201.91 => ( c_Predicate_Otransp(T_b,V_R_2)
% 201.98/201.91 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_part__equivpE,axiom,
% 201.98/201.91 ! [V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.98/201.91 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.98/201.91 => ( c_Predicate_Osymp(T_b,V_R_2)
% 201.98/201.91 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_part__equivp__typedef,axiom,
% 201.98/201.91 ! [V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.98/201.91 => ? [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))))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inj__iff,axiom,
% 201.98/201.91 ! [V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 <=> 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) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__o__cancel,axiom,
% 201.98/201.91 ! [V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => 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) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_o__inv__o__cancel,axiom,
% 201.98/201.91 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__into__def,axiom,
% 201.98/201.91 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__f__eq,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 201.98/201.91 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__f__f,axiom,
% 201.98/201.91 ! [V_x_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__into__f__f,axiom,
% 201.98/201.91 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.91 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__into__f__eq,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.98/201.91 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 201.98/201.91 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_f__inv__into__f,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 201.98/201.91 => 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 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__into__into,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__into__injective,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 201.98/201.91 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.98/201.91 => V_x_2 = V_y_2 ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_surj__iff__all,axiom,
% 201.98/201.91 ! [V_f_2,T_b,T_c] :
% 201.98/201.91 ( 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))
% 201.98/201.91 <=> ! [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 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_surj__f__inv__f,axiom,
% 201.98/201.91 ! [V_y_2,V_f_2,T_b,T_c] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => 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 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_image__surj__f__inv__f,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_b,T_c] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => 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 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_image__inv__into__cancel,axiom,
% 201.98/201.91 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 201.98/201.91 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 201.98/201.91 => 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 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__id,axiom,
% 201.98/201.91 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__def,axiom,
% 201.98/201.91 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inj__imp__surj__inv,axiom,
% 201.98/201.91 ! [V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_image__inv__f__f,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__image__comp,axiom,
% 201.98/201.91 ! [V_X_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_surj__imp__inj__inv,axiom,
% 201.98/201.91 ! [V_f_2,T_b,T_c] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inj__on__inv__into,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 201.98/201.91 ( 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)))
% 201.98/201.91 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__into__image__cancel,axiom,
% 201.98/201.91 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 201.98/201.91 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__into__comp,axiom,
% 201.98/201.91 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 201.98/201.91 => ( 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))))
% 201.98/201.91 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_surj__iff,axiom,
% 201.98/201.91 ! [V_f_2,T_b,T_c] :
% 201.98/201.91 ( 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))
% 201.98/201.91 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inj__transfer,axiom,
% 201.98/201.91 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => ( ! [B_y] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 201.98/201.91 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) )
% 201.98/201.91 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_fold__image__UN__disjoint,axiom,
% 201.98/201.91 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 201.98/201.91 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.98/201.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 201.98/201.91 => ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 201.98/201.91 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 201.98/201.91 => ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 201.98/201.91 => ! [B_xa] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 201.98/201.91 => ( B_x != B_xa
% 201.98/201.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 201.98/201.91 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_nat__of__induct,axiom,
% 201.98/201.91 ! [V_Pa_2,V_y_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.98/201.91 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 201.98/201.91 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_nat__of__cases,axiom,
% 201.98/201.91 ! [V_y_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.98/201.91 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_of__nat__induct,axiom,
% 201.98/201.91 ! [V_x_2,V_Pa_2] :
% 201.98/201.91 ( ! [B_y] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.98/201.91 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 201.98/201.91 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_of__nat__cases,axiom,
% 201.98/201.91 ! [V_x_2] :
% 201.98/201.91 ~ ! [B_y] :
% 201.98/201.91 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 201.98/201.91 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 201.98/201.91 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 201.98/201.91
% 201.98/201.91 fof(fact_beyond__def,axiom,
% 201.98/201.91 ! [V_l,V_k] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 201.98/201.91 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 201.98/201.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 201.98/201.91 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_beyond__zero,axiom,
% 201.98/201.91 ! [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) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 201.98/201.91 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__image__Collect__eq,axiom,
% 201.98/201.91 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_curry__def,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_ca_2),V_x_2),V_y_2) = hAPP(V_ca_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_curryI,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 201.98/201.91 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__id,axiom,
% 201.98/201.91 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_o__inv__distrib,axiom,
% 201.98/201.91 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__inv__into,axiom,
% 201.98/201.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.98/201.91 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__into__inv__into__eq,axiom,
% 201.98/201.91 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.98/201.91 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__imp__bij__inv,axiom,
% 201.98/201.91 ! [V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inv__inv__eq,axiom,
% 201.98/201.91 ! [V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_curry__split,axiom,
% 201.98/201.91 ! [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 ).
% 201.98/201.91
% 201.98/201.91 fof(fact_split__curry,axiom,
% 201.98/201.91 ! [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 ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bijI,axiom,
% 201.98/201.91 ! [V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 201.98/201.91 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__def,axiom,
% 201.98/201.91 ! [V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.98/201.91 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__Disj__Un,axiom,
% 201.98/201.91 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 201.98/201.91 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 201.98/201.91 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 201.98/201.91 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__combine,axiom,
% 201.98/201.91 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.98/201.91 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 201.98/201.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 201.98/201.91 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__the__inv__into,axiom,
% 201.98/201.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.98/201.91 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__same__card,axiom,
% 201.98/201.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.98/201.91 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__empty2,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__empty1,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 201.98/201.91 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_BIJ,axiom,
% 201.98/201.91 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.98/201.91 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 201.98/201.91 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__finite,axiom,
% 201.98/201.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.98/201.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.91 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__id__iff,axiom,
% 201.98/201.91 ! [V_B_2,V_A_2,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 201.98/201.91 <=> V_A_2 = V_B_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__id,axiom,
% 201.98/201.91 ! [T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__subset,axiom,
% 201.98/201.91 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.98/201.91 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 201.98/201.91 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__is__surj,axiom,
% 201.98/201.91 ! [V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__imp__surj,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_inj__on__imp__bij__betw,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.91 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__def,axiom,
% 201.98/201.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.98/201.91 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.91 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__imp__inj__on,axiom,
% 201.98/201.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.98/201.91 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__is__inj,axiom,
% 201.98/201.91 ! [V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__image__Compl__eq,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => 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)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_finite__vimage__iff,axiom,
% 201.98/201.91 ! [V_F_2,V_h_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 201.98/201.91 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_curry__conv,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_curryE,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 201.98/201.91 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_curryD,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 201.98/201.91 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__comp__iff,axiom,
% 201.98/201.91 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 201.98/201.91 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 201.98/201.91 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__trans,axiom,
% 201.98/201.91 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.98/201.91 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 201.98/201.91 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__comp,axiom,
% 201.98/201.91 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 201.98/201.91 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__betw__comp__iff2,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2))
% 201.98/201.91 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 201.98/201.91 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__image__INT,axiom,
% 201.98/201.91 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => 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)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_vimage__subset__eq,axiom,
% 201.98/201.91 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => ( 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))
% 201.98/201.91 <=> 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))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bij__vimage__eq__inv__image,axiom,
% 201.98/201.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.98/201.91 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 201.98/201.91 ! [V_M_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 201.98/201.91 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Cantor__Bernstein,axiom,
% 201.98/201.91 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.98/201.91 => ( 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))
% 201.98/201.91 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 201.98/201.91 => ( 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))
% 201.98/201.91 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_ex__bij__betw__nat__finite,axiom,
% 201.98/201.91 ! [V_M_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 201.98/201.91 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_ex__bij__betw__finite__nat,axiom,
% 201.98/201.91 ! [V_M_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 201.98/201.91 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_refl__on__UNION,axiom,
% 201.98/201.91 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 201.98/201.91 ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.98/201.91 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 201.98/201.91 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bex__reg__eqv,axiom,
% 201.98/201.91 ! [V_Pa_2,V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.91 => ( ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 201.98/201.91 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.91 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_in__respects,axiom,
% 201.98/201.91 ! [V_R_2,V_x_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Respects__def,axiom,
% 201.98/201.91 ! [V_x_2,V_R_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_bex__reg__right,axiom,
% 201.98/201.91 ! [V_Pa_2,V_Qa_2,V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.91 => ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(V_Qa_2,B_x))
% 201.98/201.91 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 201.98/201.91 => ( ? [B_x1] : hBOOL(hAPP(V_Qa_2,B_x1))
% 201.98/201.91 => ? [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 201.98/201.91 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_babs__reg__eqv,axiom,
% 201.98/201.91 ! [V_Pa_2,T_c,V_R_2,T_b] :
% 201.98/201.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.98/201.91 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_Babs__def,axiom,
% 201.98/201.91 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 201.98/201.91 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_wf__weak__decr__stable,axiom,
% 201.98/201.91 ! [V_r_2,V_f_2,T_b] :
% 201.98/201.91 ( ! [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)))
% 201.98/201.91 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 201.98/201.91 => ? [B_i] :
% 201.98/201.91 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_INT__anti__mono,axiom,
% 201.98/201.91 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.98/201.91 => ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_INT__greatest,axiom,
% 201.98/201.91 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 201.98/201.91 ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) )
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_rtrancl__induct2,axiom,
% 201.98/201.91 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 201.98/201.91 => ( ! [B_a,B_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 201.98/201.91 => ! [B_aa,B_ba] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_converse__rtranclE2,axiom,
% 201.98/201.91 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 201.98/201.91 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2)
% 201.98/201.91 => ~ ! [B_a,B_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2))
% 201.98/201.91 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_converse__rtrancl__induct2,axiom,
% 201.98/201.91 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 201.98/201.91 => ( ! [B_a,B_b,B_aa,B_ba] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 201.98/201.91 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_congruentI,axiom,
% 201.98/201.91 ! [T_c,V_f_2,V_r_2,T_b] :
% 201.98/201.91 ( ! [B_y,B_z] :
% 201.98/201.91 ( 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))
% 201.98/201.91 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 201.98/201.91 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_congruent2I_H,axiom,
% 201.98/201.91 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 201.98/201.91 ( ! [B_y1,B_z1] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2))
% 201.98/201.91 => ! [B_y2,B_z2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2))
% 201.98/201.91 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 201.98/201.91 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact__03,axiom,
% 201.98/201.91 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_list__all__iff__all__interval__nat,axiom,
% 201.98/201.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 201.98/201.91 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 201.98/201.91 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact__04,axiom,
% 201.98/201.91 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_all__interval__nat__def,axiom,
% 201.98/201.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 201.98/201.91 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 201.98/201.91 <=> ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)))
% 201.98/201.91 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 201.98/201.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 201.98/201.91 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 201.98/201.91 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact__05,axiom,
% 201.98/201.91 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_folding__image_Ocong,axiom,
% 201.98/201.91 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.98/201.91 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.98/201.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.98/201.91 => ( ! [B_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.98/201.91 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 201.98/201.91 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact__06,axiom,
% 201.98/201.91 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact__07,axiom,
% 201.98/201.91 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_New__DSequence_Opos__map__def,axiom,
% 201.98/201.91 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_power__dvd__imp__le,axiom,
% 201.98/201.91 ! [V_n,V_m,V_i] :
% 201.98/201.91 ( 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)))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oorder__refl,axiom,
% 201.98/201.91 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__0__right,axiom,
% 201.98/201.91 ! [V_a,T_a] :
% 201.98/201.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__1__left,axiom,
% 201.98/201.91 ! [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)) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__setprod,axiom,
% 201.98/201.91 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 201.98/201.91 ( class_Rings_Ocomm__semiring__1(T_c)
% 201.98/201.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 201.98/201.91 => 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))) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.91 ( ( class_Divides_Osemiring__div(T_b)
% 201.98/201.91 & class_Int_Onumber(T_b) )
% 201.98/201.91 => ( 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)))
% 201.98/201.91 <=> 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) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 201.98/201.91 ! [V_ca_2,V_b_2,V_a_2] :
% 201.98/201.91 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))
% 201.98/201.91 <=> ( V_a_2 = V_b_2
% 201.98/201.91 & V_b_2 = V_ca_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 201.98/201.91 ! [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))) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2] :
% 201.98/201.91 ( V_a_2 = V_b_2
% 201.98/201.91 => 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))) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2] :
% 201.98/201.91 ( 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)
% 201.98/201.91 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2] :
% 201.98/201.91 ( 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))
% 201.98/201.91 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 201.98/201.91 ! [V_a_2,V_b_2] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 201.98/201.91 => 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)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 201.98/201.91 ! [V_k_2,V_l_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 201.98/201.91 => 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)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 201.98/201.91 ! [V_a_2,V_b_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 201.98/201.91 => 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)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 201.98/201.91 ! [V_l_2,V_k_2] :
% 201.98/201.91 ( 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))
% 201.98/201.91 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2] :
% 201.98/201.91 ( 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))
% 201.98/201.91 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 201.98/201.91 ! [V_l_2,V_k_2] :
% 201.98/201.91 ( 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)
% 201.98/201.91 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 201.98/201.91 ! [V_b_2,V_a_2] :
% 201.98/201.91 ( 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)
% 201.98/201.91 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 201.98/201.91 ! [V_k_2,V_l_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 201.98/201.91 => 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)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__1__iff__1,axiom,
% 201.98/201.91 ! [V_m_2] :
% 201.98/201.91 ( 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))))
% 201.98/201.91 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_nat__dvd__not__less,axiom,
% 201.98/201.91 ! [V_n,V_m] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.98/201.91 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__diff,axiom,
% 201.98/201.91 ! [V_z,V_y,V_x,T_a] :
% 201.98/201.91 ( class_Rings_Ocomm__ring__1(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 201.98/201.91 => 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))) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__diff__nat,axiom,
% 201.98/201.91 ! [V_n,V_m,V_k] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 201.98/201.91 => 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))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_minus__dvd__iff,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.91 ( class_Rings_Ocomm__ring__1(T_b)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__minus__iff,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2,T_b] :
% 201.98/201.91 ( class_Rings_Ocomm__ring__1(T_b)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__div__neg,axiom,
% 201.98/201.91 ! [V_x,V_y,T_a] :
% 201.98/201.91 ( class_Divides_Oring__div(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 201.98/201.91 => 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)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__neg__div,axiom,
% 201.98/201.91 ! [V_x,V_y,T_a] :
% 201.98/201.91 ( class_Divides_Oring__div(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 201.98/201.91 => 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)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__reduce,axiom,
% 201.98/201.91 ! [V_n_2,V_k_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_n_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__add,axiom,
% 201.98/201.91 ! [V_c,V_b,V_a,T_a] :
% 201.98/201.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 201.98/201.91 => 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))) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__power__same,axiom,
% 201.98/201.91 ! [V_n,V_y,V_x,T_a] :
% 201.98/201.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 201.98/201.91 => 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))) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_div__dvd__div,axiom,
% 201.98/201.91 ! [V_ca_2,V_b_2,V_a_2,T_b] :
% 201.98/201.91 ( class_Divides_Osemiring__div(T_b)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ca_2))
% 201.98/201.91 => ( 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_ca_2),V_a_2)))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_ca_2)) ) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__mod__iff,axiom,
% 201.98/201.91 ! [V_m_2,V_n_2,V_k_2,T_b] :
% 201.98/201.91 ( class_Divides_Osemiring__div(T_b)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_n_2))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_n_2)))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_mod__mod__cancel,axiom,
% 201.98/201.91 ! [V_a,V_b,V_c,T_a] :
% 201.98/201.91 ( class_Divides_Osemiring__div(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 201.98/201.91 => 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) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__mod,axiom,
% 201.98/201.91 ! [V_n,V_m,V_k,T_a] :
% 201.98/201.91 ( class_Divides_Osemiring__div(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__mod__imp__dvd,axiom,
% 201.98/201.91 ! [V_n,V_m,V_k,T_a] :
% 201.98/201.91 ( class_Divides_Osemiring__div(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_nat__dvd__1__iff__1,axiom,
% 201.98/201.91 ! [V_m_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 201.98/201.91 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__0__left,axiom,
% 201.98/201.91 ! [V_a,T_a] :
% 201.98/201.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.98/201.91 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_one__dvd,axiom,
% 201.98/201.91 ! [V_a,T_a] :
% 201.98/201.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oeq__iff,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2] :
% 201.98/201.91 ( V_x_2 = V_y_2
% 201.98/201.91 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.98/201.91 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Ole__less,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.98/201.91 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 201.98/201.91 | V_x_2 = V_y_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__le,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 201.98/201.91 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.98/201.91 & V_x_2 != V_y_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oneq__le__trans,axiom,
% 201.98/201.91 ! [V_b,V_a] :
% 201.98/201.91 ( V_a != V_b
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oeq__refl,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( V_x = V_y
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oantisym__conv,axiom,
% 201.98/201.91 ! [V_x_2,V_y_2] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.98/201.91 <=> V_x_2 = V_y_2 ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 | V_x = V_y ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Ole__neq__trans,axiom,
% 201.98/201.91 ! [V_b,V_a] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.98/201.91 => ( V_a != V_b
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 201.98/201.91 ! [V_c,V_b,V_a] :
% 201.98/201.91 ( V_a = V_b
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 201.98/201.91 ! [V_c,V_b,V_a] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.98/201.91 => ( V_b = V_c
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__antisym,axiom,
% 201.98/201.91 ! [V_n,V_m] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 201.98/201.91 => V_m = V_n ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oantisym,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 201.98/201.91 => V_x = V_y ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oorder__trans,axiom,
% 201.98/201.91 ! [V_z,V_y,V_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 201.98/201.91 ! [V_c,V_b,V_a] :
% 201.98/201.91 ( V_a = V_b
% 201.98/201.91 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Ole__less__trans,axiom,
% 201.98/201.91 ! [V_z,V_y,V_x] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__imp__neq,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 => V_x != V_y ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__not__sym,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__imp__le,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__imp__not__less,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 => V_x != V_y ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 => V_y != V_x ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 201.98/201.91 ! [V_c,V_b,V_a] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 201.98/201.91 => ( V_b = V_c
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__le__trans,axiom,
% 201.98/201.91 ! [V_z,V_y,V_x] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__asym_H,axiom,
% 201.98/201.91 ! [V_b,V_a] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 201.98/201.91 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__trans,axiom,
% 201.98/201.91 ! [V_z,V_y,V_x] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd_Oless__asym,axiom,
% 201.98/201.91 ! [V_y,V_x] :
% 201.98/201.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.98/201.91 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 201.98/201.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__refl,axiom,
% 201.98/201.91 ! [V_a,T_a] :
% 201.98/201.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__trans,axiom,
% 201.98/201.91 ! [V_c,V_b,V_a,T_a] :
% 201.98/201.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_dvd__if__abs__eq,axiom,
% 201.98/201.91 ! [V_k,V_l,T_a] :
% 201.98/201.91 ( class_Rings_Olinordered__idom(T_a)
% 201.98/201.91 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 201.98/201.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(fact_abs__dvd__iff,axiom,
% 201.98/201.91 ! [V_k_2,V_m_2,T_b] :
% 201.98/201.91 ( class_Rings_Olinordered__idom(T_b)
% 201.98/201.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 201.98/201.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 201.98/201.91
% 201.98/201.91 %----Arity declarations (218)
% 201.98/201.91 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 201.98/201.91 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Lattices_Obounded__lattice(T_1)
% 201.98/201.91 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 201.98/201.91 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Lattices_Obounded__lattice(T_1)
% 201.98/201.91 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Lattices_Obounded__lattice(T_1)
% 201.98/201.91 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Lattices_Olattice(T_1)
% 201.98/201.91 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Lattices_Olattice(T_1)
% 201.98/201.91 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Lattices_Odistrib__lattice(T_1)
% 201.98/201.91 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Lattices_Oboolean__algebra(T_1)
% 201.98/201.91 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Orderings_Opreorder,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Orderings_Opreorder(T_1)
% 201.98/201.91 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 201.98/201.91 ! [T_1,T_2] :
% 201.98/201.91 ( ( class_Finite__Set_Ofinite(T_2)
% 201.98/201.91 & class_Finite__Set_Ofinite(T_1) )
% 201.98/201.91 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Lattices_Olattice,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Lattices_Olattice(T_1)
% 201.98/201.91 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Orderings_Oorder,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Orderings_Oorder(T_1)
% 201.98/201.91 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Orderings_Otop,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Orderings_Otop(T_1)
% 201.98/201.91 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Orderings_Oord,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Orderings_Oord(T_1)
% 201.98/201.91 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Orderings_Obot,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Orderings_Obot(T_1)
% 201.98/201.91 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Groups_Ouminus,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Groups_Ouminus(T_1)
% 201.98/201.91 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Groups_Ominus,axiom,
% 201.98/201.91 ! [T_2,T_1] :
% 201.98/201.91 ( class_Groups_Ominus(T_1)
% 201.98/201.91 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_fun__Enum_Oenum,axiom,
% 201.98/201.91 ! [T_1,T_2] :
% 201.98/201.91 ( ( class_Enum_Oenum(T_2)
% 201.98/201.91 & class_Enum_Oenum(T_1) )
% 201.98/201.91 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 201.98/201.91 class_Nat_Osize(tc_Com_Ocom) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 201.98/201.91 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 201.98/201.91 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 201.98/201.91 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 201.98/201.91 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 201.98/201.91 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 201.98/201.91 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 201.98/201.91 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 201.98/201.91 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 201.98/201.91 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 201.98/201.91 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 201.98/201.91 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 201.98/201.91 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 201.98/201.91 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 201.98/201.91 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 201.98/201.91 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 201.98/201.91 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 201.98/201.91 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 201.98/201.91 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 201.98/201.91 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 201.98/201.91 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 201.98/201.91 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 201.98/201.91 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 201.98/201.91 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 201.98/201.91 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 201.98/201.91 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 201.98/201.91 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 201.98/201.91 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 201.98/201.91 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 201.98/201.91 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 201.98/201.91 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 201.98/201.91 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 201.98/201.91 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 201.98/201.91 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 201.98/201.91 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 201.98/201.91 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 201.98/201.91 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 201.98/201.91 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 201.98/201.91 class_Orderings_Opreorder(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 201.98/201.91 class_Orderings_Olinorder(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 201.98/201.91 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 201.98/201.91 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 201.98/201.91 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 201.98/201.91 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 201.98/201.91 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 201.98/201.91 class_Lattices_Olattice(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 201.98/201.91 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 201.98/201.91 class_Divides_Oring__div(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 201.98/201.91 class_Rings_Omult__zero(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 201.98/201.91 class_Orderings_Oorder(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 201.98/201.91 class_Int_Oring__char__0(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 201.98/201.91 class_Int_Onumber__ring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 201.98/201.91 class_Rings_Osemiring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 201.98/201.91 class_Orderings_Oord(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 201.98/201.91 class_Groups_Ouminus(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 201.98/201.91 class_Groups_Osgn__if(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 201.98/201.91 class_Groups_Oabs__if(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 201.98/201.91 class_Rings_Oring__1(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 201.98/201.91 class_Groups_Ominus(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Power_Opower,axiom,
% 201.98/201.91 class_Power_Opower(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 201.98/201.91 class_Groups_Ozero(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oring,axiom,
% 201.98/201.91 class_Rings_Oring(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 201.98/201.91 class_Rings_Oidom(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Int_Onumber,axiom,
% 201.98/201.91 class_Int_Onumber(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Int__Oint__Groups_Oone,axiom,
% 201.98/201.91 class_Groups_Oone(tc_Int_Oint) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 201.98/201.91 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 201.98/201.91 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 201.98/201.91 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 201.98/201.91 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 201.98/201.91 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 201.98/201.91 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 201.98/201.91 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 201.98/201.91 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 201.98/201.91 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 201.98/201.91 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 201.98/201.91 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 201.98/201.91 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 201.98/201.91 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 201.98/201.91 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 201.98/201.91 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 201.98/201.91 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 201.98/201.91 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 201.98/201.91 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 201.98/201.91 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 201.98/201.91 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 201.98/201.91 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 201.98/201.91 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 201.98/201.91 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 201.98/201.91 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 201.98/201.91 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 201.98/201.91 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 201.98/201.91 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 201.98/201.91 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 201.98/201.91 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 201.98/201.91 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 201.98/201.91 class_Lattices_Olattice(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 201.98/201.91 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 201.98/201.91 class_Orderings_Oorder(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 201.98/201.91 class_Rings_Osemiring(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 201.98/201.91 class_Orderings_Oord(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 201.98/201.91 class_Orderings_Obot(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 201.98/201.91 class_Groups_Ominus(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Power_Opower,axiom,
% 201.98/201.91 class_Power_Opower(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 201.98/201.91 class_Groups_Ozero(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 201.98/201.91 class_Int_Onumber(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 201.98/201.91 class_Groups_Oone(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 201.98/201.91 class_Nat_Osize(tc_Nat_Onat) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 201.98/201.91 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 201.98/201.91 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 201.98/201.91 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 201.98/201.91 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 201.98/201.91 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 201.98/201.91 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 201.98/201.91 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 201.98/201.91 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 201.98/201.91 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 201.98/201.91 class_Lattices_Olattice(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 201.98/201.91 class_Orderings_Oorder(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 201.98/201.91 class_Orderings_Otop(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 201.98/201.91 class_Orderings_Oord(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 201.98/201.91 class_Orderings_Obot(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 201.98/201.91 class_Groups_Ouminus(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 201.98/201.91 class_Groups_Ominus(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 201.98/201.91 class_Enum_Oenum(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 201.98/201.91 class_Nat_Osize(tc_HOL_Obool) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 201.98/201.91 class_Nat_Osize(tc_Com_Ostate) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 201.98/201.91 ! [T_1] :
% 201.98/201.91 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 201.98/201.91 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_List__Olist__Nat_Osize,axiom,
% 201.98/201.91 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 201.98/201.91 ! [T_1,T_2] :
% 201.98/201.91 ( ( class_Finite__Set_Ofinite(T_2)
% 201.98/201.91 & class_Finite__Set_Ofinite(T_1) )
% 201.98/201.91 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_sum__Enum_Oenum,axiom,
% 201.98/201.91 ! [T_1,T_2] :
% 201.98/201.91 ( ( class_Enum_Oenum(T_2)
% 201.98/201.91 & class_Enum_Oenum(T_1) )
% 201.98/201.91 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_sum__Nat_Osize,axiom,
% 201.98/201.91 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 201.98/201.91 ! [T_1] :
% 201.98/201.91 ( class_Finite__Set_Ofinite(T_1)
% 201.98/201.91 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 201.98/201.91 ! [T_1] :
% 201.98/201.91 ( class_Enum_Oenum(T_1)
% 201.98/201.91 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 201.98/201.91 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 201.98/201.91 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 201.98/201.91 ! [T_1,T_2] :
% 201.98/201.91 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 201.98/201.91 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 201.98/201.91 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 201.98/201.91 ! [T_1,T_2] :
% 201.98/201.91 ( ( class_Finite__Set_Ofinite(T_2)
% 201.98/201.91 & class_Finite__Set_Ofinite(T_1) )
% 201.98/201.91 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_prod__Enum_Oenum,axiom,
% 201.98/201.91 ! [T_1,T_2] :
% 201.98/201.91 ( ( class_Enum_Oenum(T_2)
% 201.98/201.91 & class_Enum_Oenum(T_1) )
% 201.98/201.91 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_prod__Nat_Osize,axiom,
% 201.98/201.91 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 201.98/201.91 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 201.98/201.91 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 201.98/201.91 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 201.98/201.91 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 201.98/201.91 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 201.98/201.91 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 201.98/201.91 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 201.98/201.91 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 201.98/201.91 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 201.98/201.91 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 201.98/201.91 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 201.98/201.91 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 201.98/201.91 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 201.98/201.91 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 201.98/201.91 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 201.98/201.91 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 201.98/201.91 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 201.98/201.91 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 201.98/201.91 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 201.98/201.91 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 201.98/201.91 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 201.98/201.91 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 201.98/201.91 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 201.98/201.91 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 201.98/201.91 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 201.98/201.91 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 201.98/201.91 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 201.98/201.91 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 201.98/201.91 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 201.98/201.91 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 201.98/201.91 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 201.98/201.91 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 201.98/201.91 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 201.98/201.91 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 201.98/201.91 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 201.98/201.91 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 201.98/201.91 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 201.98/201.91 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 201.98/201.91 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 201.98/201.91 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 201.98/201.91 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 201.98/201.91 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 201.98/201.91
% 201.98/201.91 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 201.98/201.91 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 201.98/201.91
% 201.98/201.91 %----Helper facts (20)
% 201.98/201.91 fof(help_c__COMBI__1,axiom,
% 201.98/201.91 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__COMBK__1,axiom,
% 201.98/201.91 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__COMBB__1,axiom,
% 201.98/201.91 ! [V_R_2,V_Qa_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__COMBC__1,axiom,
% 201.98/201.91 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Qa_2) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__COMBS__1,axiom,
% 201.98/201.91 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fequal__1,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2] :
% 201.98/201.91 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 201.98/201.91 | V_x_2 = V_y_2 ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fequal__2,axiom,
% 201.98/201.91 ! [V_y_2,V_x_2] :
% 201.98/201.91 ( V_x_2 != V_y_2
% 201.98/201.91 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fFalse__1,axiom,
% 201.98/201.91 ~ hBOOL(c_fFalse) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fTrue__1,axiom,
% 201.98/201.91 hBOOL(c_fTrue) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fNot__1,axiom,
% 201.98/201.91 ! [V_Pa_2] :
% 201.98/201.91 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 201.98/201.91 | ~ hBOOL(V_Pa_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fNot__2,axiom,
% 201.98/201.91 ! [V_Pa_2] :
% 201.98/201.91 ( ~ ~ hBOOL(V_Pa_2)
% 201.98/201.91 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fconj__1,axiom,
% 201.98/201.91 ! [V_Qa_2,V_Pa_2] :
% 201.98/201.91 ( ~ hBOOL(V_Pa_2)
% 201.98/201.91 | ~ hBOOL(V_Qa_2)
% 201.98/201.91 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fconj__2,axiom,
% 201.98/201.91 ! [V_Qa_2,V_Pa_2] :
% 201.98/201.91 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 201.98/201.91 | hBOOL(V_Pa_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fconj__3,axiom,
% 201.98/201.91 ! [V_Qa_2,V_Pa_2] :
% 201.98/201.91 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 201.98/201.91 | hBOOL(V_Qa_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fdisj__1,axiom,
% 201.98/201.91 ! [V_Qa_2,V_Pa_2] :
% 201.98/201.91 ( ~ hBOOL(V_Pa_2)
% 201.98/201.91 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fdisj__2,axiom,
% 201.98/201.91 ! [V_Pa_2,V_Qa_2] :
% 201.98/201.91 ( ~ hBOOL(V_Qa_2)
% 201.98/201.91 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fdisj__3,axiom,
% 201.98/201.91 ! [V_Qa_2,V_Pa_2] :
% 201.98/201.91 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2))
% 201.98/201.91 | hBOOL(V_Pa_2)
% 201.98/201.91 | hBOOL(V_Qa_2) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fimplies__1,axiom,
% 201.98/201.91 ! [V_Qa_2,V_Pa_2] :
% 201.98/201.91 ( hBOOL(V_Pa_2)
% 201.98/201.91 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fimplies__2,axiom,
% 201.98/201.91 ! [V_Pa_2,V_Qa_2] :
% 201.98/201.91 ( ~ hBOOL(V_Qa_2)
% 201.98/201.91 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 201.98/201.91
% 201.98/201.91 fof(help_c__fimplies__3,axiom,
% 201.98/201.91 ! [V_Qa_2,V_Pa_2] :
% 201.98/201.91 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2))
% 201.98/201.91 | ~ hBOOL(V_Pa_2)
% 201.98/201.91 | hBOOL(V_Qa_2) ) ).
% 201.98/201.91
% 201.98/201.91 %----Conjectures (3)
% 201.98/201.91 fof(conj_0,hypothesis,
% 201.98/201.91 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P_H,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ).
% 201.98/201.91
% 201.98/201.91 fof(conj_1,hypothesis,
% 201.98/201.91 ! [B_Z,B_s] :
% 201.98/201.91 ( v_P(B_Z,B_s)
% 201.98/201.91 => ! [B_s_H] :
% 201.98/201.91 ( ! [B_Z_H] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(v_P_H,B_Z_H),B_s))
% 201.98/201.91 => hBOOL(hAPP(hAPP(v_Q_H,B_Z_H),B_s_H)) )
% 201.98/201.91 => v_Q(B_Z,B_s_H) ) ) ).
% 201.98/201.91
% 201.98/201.91 fof(conj_2,conjecture,
% 201.98/201.91 ! [B_Z,B_s] :
% 201.98/201.91 ( v_P(B_Z,B_s)
% 201.98/201.91 => ? [B_P_H,B_Q_H] :
% 201.98/201.91 ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,B_P_H,v_c,B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
% 201.98/201.91 & ! [B_s_H] :
% 201.98/201.91 ( ! [B_Z_H] :
% 201.98/201.91 ( hBOOL(hAPP(hAPP(B_P_H,B_Z_H),B_s))
% 201.98/201.91 => hBOOL(hAPP(hAPP(B_Q_H,B_Z_H),B_s_H)) )
% 201.98/201.91 => v_Q(B_Z,B_s_H) ) ) ) ).
% 201.98/201.91
% 201.98/201.91 %------------------------------------------------------------------------------
% 201.98/201.91 %-------------------------------------------
% 201.98/201.91 % Proof found
% 201.98/201.91 % SZS status Theorem for theBenchmark
% 201.98/201.91 % SZS output start Proof
% 201.98/201.91 %ClaNum:10384(EqnAxiom:3053)
% 201.98/201.91 %VarNum:70460(SingletonVarNum:20384)
% 201.98/201.91 %MaxLitNum:8
% 201.98/201.91 %MaxfuncDepth:13
% 201.98/201.91 %SharedTerms:1003
% 201.98/201.91 %goalClause: 3261 9360 9397
% 201.98/201.91 %singleGoalClaCount:1
% 201.98/201.91 [3057]P1(a904)
% 201.98/201.91 [3058]P1(a908)
% 201.98/201.91 [3059]P105(a187)
% 201.98/201.91 [3060]P106(a904)
% 201.98/201.91 [3061]P106(a908)
% 201.98/201.91 [3062]P106(a1)
% 201.98/201.91 [3063]P106(a99)
% 201.98/201.91 [3064]P107(a904)
% 201.98/201.91 [3065]P107(a908)
% 201.98/201.91 [3066]P107(a1)
% 201.98/201.91 [3067]P107(a99)
% 201.98/201.91 [3068]P108(a908)
% 201.98/201.91 [3069]P108(a1)
% 201.98/201.91 [3070]P108(a99)
% 201.98/201.91 [3071]P109(a904)
% 201.98/201.91 [3072]P109(a908)
% 201.98/201.91 [3073]P109(a1)
% 201.98/201.91 [3074]P109(a99)
% 201.98/201.91 [3075]P2(a904)
% 201.98/201.91 [3076]P2(a908)
% 201.98/201.91 [3077]P2(a1)
% 201.98/201.91 [3078]P2(a99)
% 201.98/201.91 [3079]P77(a904)
% 201.98/201.91 [3080]P77(a908)
% 201.98/201.91 [3081]P77(a1)
% 201.98/201.91 [3082]P78(a904)
% 201.98/201.91 [3083]P100(a904)
% 201.98/201.91 [3084]P100(a908)
% 201.98/201.91 [3085]P100(a1)
% 201.98/201.91 [3086]P79(a1)
% 201.98/201.91 [3087]P3(a904)
% 201.98/201.91 [3088]P3(a911)
% 201.98/201.91 [3089]P66(a1)
% 201.98/201.91 [3090]P110(a1)
% 201.98/201.91 [3091]P67(a908)
% 201.98/201.91 [3092]P67(a1)
% 201.98/201.91 [3093]P67(a99)
% 201.98/201.91 [3094]P101(a904)
% 201.98/201.91 [3095]P101(a908)
% 201.98/201.91 [3096]P101(a1)
% 201.98/201.91 [3097]P98(a904)
% 201.98/201.91 [3098]P98(a908)
% 201.98/201.91 [3099]P98(a1)
% 201.98/201.91 [3100]P69(a908)
% 201.98/201.91 [3101]P69(a1)
% 201.98/201.91 [3102]P69(a99)
% 201.98/201.91 [3103]P83(a908)
% 201.98/201.91 [3104]P83(a1)
% 201.98/201.91 [3105]P83(a99)
% 201.98/201.91 [3106]P70(a908)
% 201.98/201.91 [3107]P70(a1)
% 201.98/201.91 [3108]P70(a99)
% 201.98/201.91 [3109]P71(a908)
% 201.98/201.91 [3110]P71(a1)
% 201.98/201.91 [3111]P71(a99)
% 201.98/201.91 [3112]P68(a908)
% 201.98/201.91 [3113]P68(a1)
% 201.98/201.91 [3114]P68(a99)
% 201.98/201.91 [3115]P84(a908)
% 201.98/201.91 [3116]P84(a1)
% 201.98/201.91 [3117]P84(a99)
% 201.98/201.91 [3118]P85(a908)
% 201.98/201.91 [3119]P85(a1)
% 201.98/201.91 [3120]P85(a99)
% 201.98/201.91 [3121]P73(a1)
% 201.98/201.91 [3122]P111(a1)
% 201.98/201.91 [3123]P112(a908)
% 201.98/201.91 [3124]P112(a1)
% 201.98/201.91 [3125]P112(a99)
% 201.98/201.91 [3126]P137(a908)
% 201.98/201.91 [3127]P137(a1)
% 201.98/201.91 [3128]P118(a1)
% 201.98/201.91 [3129]P138(a908)
% 201.98/201.91 [3130]P138(a1)
% 201.98/201.91 [3131]P138(a99)
% 201.98/201.91 [3132]P113(a908)
% 201.98/201.91 [3133]P113(a1)
% 201.98/201.91 [3134]P113(a99)
% 201.98/201.91 [3135]P4(a904)
% 201.98/201.91 [3136]P74(a908)
% 201.98/201.91 [3137]P74(a1)
% 201.98/201.91 [3138]P74(a99)
% 201.98/201.91 [3139]P80(a908)
% 201.98/201.91 [3140]P80(a1)
% 201.98/201.91 [3141]P80(a99)
% 201.98/201.91 [3142]P81(a908)
% 201.98/201.91 [3143]P81(a1)
% 201.98/201.91 [3144]P81(a99)
% 201.98/201.91 [3145]P124(a908)
% 201.98/201.91 [3146]P124(a1)
% 201.98/201.91 [3147]P124(a99)
% 201.98/201.91 [3148]P127(a1)
% 201.98/201.91 [3149]P87(a908)
% 201.98/201.91 [3150]P87(a1)
% 201.98/201.91 [3151]P87(a99)
% 201.98/201.91 [3152]P82(a908)
% 201.98/201.91 [3153]P82(a1)
% 201.98/201.91 [3154]P82(a99)
% 201.98/201.91 [3155]P75(a1)
% 201.98/201.91 [3156]P130(a908)
% 201.98/201.91 [3157]P130(a1)
% 201.98/201.91 [3158]P130(a99)
% 201.98/201.91 [3159]P139(a1)
% 201.98/201.91 [3160]P132(a908)
% 201.98/201.91 [3161]P132(a1)
% 201.98/201.91 [3162]P132(a99)
% 201.98/201.91 [3163]P142(a908)
% 201.98/201.91 [3164]P142(a1)
% 201.98/201.91 [3165]P142(a99)
% 201.98/201.91 [3166]P88(a908)
% 201.98/201.91 [3167]P88(a1)
% 201.98/201.91 [3168]P88(a99)
% 201.98/201.91 [3169]P133(a908)
% 201.98/201.91 [3170]P133(a1)
% 201.98/201.91 [3171]P133(a99)
% 201.98/201.91 [3172]P135(a908)
% 201.98/201.91 [3173]P135(a1)
% 201.98/201.91 [3174]P135(a99)
% 201.98/201.91 [3175]P134(a908)
% 201.98/201.91 [3176]P134(a1)
% 201.98/201.91 [3177]P134(a99)
% 201.98/201.91 [3178]P125(a1)
% 201.98/201.91 [3179]P126(a1)
% 201.98/201.91 [3180]P131(a908)
% 201.98/201.91 [3181]P131(a1)
% 201.98/201.91 [3182]P131(a99)
% 201.98/201.91 [3183]P119(a908)
% 201.98/201.91 [3184]P119(a1)
% 201.98/201.91 [3185]P119(a99)
% 201.98/201.91 [3186]P128(a908)
% 201.98/201.91 [3187]P128(a1)
% 201.98/201.91 [3188]P128(a99)
% 201.98/201.91 [3189]P129(a1)
% 201.98/201.91 [3190]P140(a1)
% 201.98/201.91 [3191]P92(a1)
% 201.98/201.91 [3192]P93(a908)
% 201.98/201.91 [3193]P93(a1)
% 201.98/201.91 [3194]P93(a99)
% 201.98/201.91 [3195]P94(a1)
% 201.98/201.91 [3196]P102(a908)
% 201.98/201.91 [3197]P102(a1)
% 201.98/201.91 [3198]P102(a99)
% 201.98/201.91 [3199]P143(a908)
% 201.98/201.91 [3200]P143(a1)
% 201.98/201.91 [3201]P143(a99)
% 201.98/201.91 [3202]P86(a1)
% 201.98/201.91 [3203]P136(a1)
% 201.98/201.91 [3204]P59(a908)
% 201.98/201.91 [3205]P59(a1)
% 201.98/201.91 [3206]P59(a99)
% 201.98/201.91 [3207]P60(a1)
% 201.98/201.91 [3208]P95(a904)
% 201.98/201.91 [3209]P89(a904)
% 201.98/201.91 [3210]P89(a1)
% 201.98/201.91 [3211]P120(a1)
% 201.98/201.91 [3212]P114(a1)
% 201.98/201.91 [3213]P141(a1)
% 201.98/201.91 [3214]P72(a1)
% 201.98/201.91 [3215]P115(a908)
% 201.98/201.91 [3216]P115(a1)
% 201.98/201.91 [3217]P115(a99)
% 201.98/201.91 [3218]P144(a908)
% 201.98/201.91 [3219]P144(a1)
% 201.98/201.91 [3220]P144(a99)
% 201.98/201.91 [3221]P90(a1)
% 201.98/201.91 [3222]P116(a904)
% 201.98/201.91 [3223]P99(a904)
% 201.98/201.91 [3224]P76(a908)
% 201.98/201.91 [3225]P76(a1)
% 201.98/201.91 [3226]P76(a99)
% 201.98/201.91 [3227]P117(a908)
% 201.98/201.91 [3228]P91(a908)
% 201.98/201.91 [3229]P91(a1)
% 201.98/201.91 [3230]P91(a99)
% 201.98/201.91 [3231]P61(a904)
% 201.98/201.91 [3232]P61(a911)
% 201.98/201.91 [3233]P104(a904)
% 201.98/201.91 [3234]P104(a908)
% 201.98/201.91 [3235]P104(a905)
% 201.98/201.91 [3236]P104(a99)
% 201.98/201.91 [3237]P104(a911)
% 201.98/201.91 [3238]P104(a906)
% 201.98/201.91 [3239]P104(a322)
% 201.98/201.91 [3240]P103(a1)
% 201.98/201.91 [3241]P103(a911)
% 201.98/201.91 [3242]P97(a904)
% 201.98/201.91 [3258]P36(a908,a239)
% 201.98/201.91 [3259]P36(a908,a316)
% 201.98/201.91 [3260]P37(a908,a239)
% 201.98/201.91 [3261]P147(a323,a843)
% 201.98/201.91 [4601]~E(a97,a82)
% 201.98/201.91 [4602]~P105(a238)
% 201.98/201.91 [3054]E(f2(a1),a82)
% 201.98/201.91 [3055]E(f3(a99),a4)
% 201.98/201.91 [3056]E(f100(a99),a5)
% 201.98/201.91 [3243]E(f188(a908),f2(a908))
% 201.98/201.91 [3244]E(f28(a25),f2(a908))
% 201.98/201.91 [3245]E(f101(a908),f232(a908))
% 201.98/201.91 [3246]E(f110(a908),f233(a908))
% 201.98/201.91 [3247]E(f102(a1),f31(a1))
% 201.98/201.91 [3248]E(f83(a238),f2(a908))
% 201.98/201.91 [3249]E(f83(a187),f2(a908))
% 201.98/201.91 [3250]P5(f77(a1))
% 201.98/201.91 [3251]P5(f2(a1))
% 201.98/201.91 [3308]P36(f915(a908,a908),a32)
% 201.98/201.91 [3653]E(f318(a908,a908,a239,a239),a32)
% 201.98/201.91 [4603]~E(f77(a1),f2(a1))
% 201.98/201.91 [3252]E(f6(f2(a99)),f2(a908))
% 201.98/201.91 [3253]E(f111(f2(a908)),f2(a908))
% 201.98/201.91 [3263]E(f844(f78(a1),a82),a82)
% 201.98/201.91 [3266]E(f844(a112,f2(a908)),f77(a908))
% 201.98/201.91 [3267]E(f844(a104,f77(a1)),f77(a908))
% 201.98/201.91 [3268]E(f844(a5,f77(a908)),f77(a99))
% 201.98/201.91 [3270]E(f844(a5,f2(a908)),f2(a99))
% 201.98/201.91 [3272]E(f844(f103(a1),a82),f2(a1))
% 201.98/201.91 [3273]E(f844(f103(a99),a82),f2(a99))
% 201.98/201.91 [3274]E(f844(a104,f2(a1)),f2(a908))
% 201.98/201.91 [3275]E(f844(f189(a904),a238),f2(a908))
% 201.98/201.91 [3276]E(f844(f189(a904),a187),f2(a908))
% 201.98/201.91 [3277]E(f844(f189(a905),a25),f2(a908))
% 201.98/201.91 [3278]E(f844(f103(a908),a82),f2(a908))
% 201.98/201.91 [3284]E(f844(f78(a1),f77(a1)),a97)
% 201.98/201.91 [3292]E(f844(f189(a99),f2(a99)),f2(a908))
% 201.98/201.91 [3293]E(f844(f100(a1),f77(a908)),f77(a1))
% 201.98/201.91 [3294]E(f844(f100(a1),f2(a908)),f2(a1))
% 201.98/201.91 [3295]E(f844(f78(a1),f2(a1)),f2(a1))
% 201.98/201.91 [3305]E(f844(a104,f77(a1)),f844(a112,f2(a908)))
% 201.98/201.91 [3306]E(f317(f915(a908,a908),a32),a33)
% 201.98/201.91 [3307]E(f319(f915(a908,a908),a32),a68)
% 201.98/201.91 [3334]E(f844(f281(a908),f2(a908)),f188(f916(a908,a904)))
% 201.98/201.91 [3335]E(f844(f282(a908),f2(a908)),f241(f916(a908,a904)))
% 201.98/201.91 [3343]P39(f188(f916(a1,a904)))
% 201.98/201.91 [3377]E(f844(f844(f3(a99),f2(a99)),f77(a99)),f2(a99))
% 201.98/201.91 [3452]P105(f844(f844(f235(a1),a97),f2(a1)))
% 201.98/201.91 [3476]P105(f844(f844(f234(a1),f2(a1)),f77(a1)))
% 201.98/201.91 [3478]P105(f844(f844(f235(a1),f2(a1)),f77(a1)))
% 201.98/201.91 [3684]E(f844(f844(f288(a908,a908,a908),a316),f306(a908,a316)),a239)
% 201.98/201.91 [3722]P40(a1,a908,a104,f844(f234(a1),f2(a1)))
% 201.98/201.91 [3726]E(f844(f844(f38(a908,f916(a908,a904)),f241(f916(a908,a904))),f303(a908)),f188(f916(a908,a904)))
% 201.98/201.91 [3727]E(f844(f844(f39(a908,f916(a908,a904)),f241(f916(a908,a904))),f281(a908)),f241(f916(a908,a904)))
% 201.98/201.91 [3728]E(f844(f844(f39(a908,f916(a908,a904)),f241(f916(a908,a904))),f300(a908)),f241(f916(a908,a904)))
% 201.98/201.91 [3729]E(f844(f844(f39(a908,f916(a908,a904)),f241(f916(a908,a904))),f282(a908)),f241(f916(a908,a904)))
% 201.98/201.91 [3744]P24(a908,a1,f100(a1),f241(f916(a908,a904)))
% 201.98/201.91 [3758]P40(a908,a1,f100(a1),f844(f18(a904,a908),a187))
% 201.98/201.91 [3895]E(f844(f72(a908,a99,a1,a5),a104),f103(a99))
% 201.98/201.91 [4120]P55(a99,a908,a22,a5,f241(f916(a908,a904)))
% 201.98/201.91 [4124]P55(a1,f916(f915(a908,a908),a904),a106,a88,a98)
% 201.98/201.91 [4381]E(f257(a1,a1,a1,a1,f31(a1),f78(a1)),a50)
% 201.98/201.91 [4618]~E(f844(f103(a1),a97),f844(f103(a1),a82))
% 201.98/201.91 [4619]~P105(f844(a193,f77(a1)))
% 201.98/201.91 [4620]~P105(f844(a193,f2(a1)))
% 201.98/201.91 [4657]~P105(f844(f844(f235(a1),a82),f2(a1)))
% 201.98/201.91 [3326]E(f844(f844(f3(a1),a97),a97),a82)
% 201.98/201.91 [3341]E(f844(f100(a1),f844(a112,f2(a908))),f77(a1))
% 201.98/201.91 [3406]E(f844(f34(a911),f241(f916(a911,a904))),f77(a908))
% 201.98/201.91 [3426]P105(f844(a193,f844(f103(a1),a97)))
% 201.98/201.91 [3428]P105(f844(f844(f234(a1),a97),a82))
% 201.98/201.91 [3430]P105(f844(f844(f235(a1),a97),a82))
% 201.98/201.91 [3487]E(f844(f844(f308(a908),f2(a908)),f188(f916(a908,a904))),f844(f300(a908),f2(a908)))
% 201.98/201.91 [3542]P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),a82)))
% 201.98/201.91 [3554]E(f844(f309(a908,a908,a112),f241(f916(a908,a904))),f844(f303(a908),f2(a908)))
% 201.98/201.91 [3591]P7(f915(a908,a908),f241(f916(f915(a908,a908),a904)),a108)
% 201.98/201.91 [3902]E(f844(f72(a908,a1,a99,f100(a1)),a22),a24)
% 201.98/201.91 [3963]P36(a908,f844(f261(f915(a908,a908)),f844(f256(a908,a908,a904),f235(a908))))
% 201.98/201.91 [4648]~P105(f844(a193,f844(f103(a1),a82)))
% 201.98/201.91 [4649]~P105(f844(f844(f234(a1),a82),a97))
% 201.98/201.91 [4650]~P105(f844(f844(f235(a1),a82),a82))
% 201.98/201.91 [4651]~P105(f844(f844(f235(a1),a82),a97))
% 201.98/201.91 [4652]~P105(f844(f844(f235(a1),a97),a97))
% 201.98/201.91 [4663]~P105(f844(f60(a908),f241(f916(a908,a904))))
% 201.98/201.91 [4664]~P105(f844(f60(a1),f241(f916(a1,a904))))
% 201.98/201.91 [4269]P23(a903,a917,f844(f844(f308(f907(a903)),f91(a903,a918,a919,a920)),f188(f916(f907(a903),a904))))
% 201.98/201.91 [4547]E(f844(f256(a1,a1,a904),f844(f844(f10(f916(a1,a904),f916(a1,a904),a1),f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f235(a1),f2(a1))))),f844(f844(f9(a1,a1,f916(a1,a904)),f844(f844(f10(f916(a1,f916(a1,a904)),f916(a1,f916(a1,a904)),a1),f9(a1,a1,a904)),f844(f844(f10(f916(a1,a1),f916(a1,f916(a1,a904)),a1),f844(f10(a1,f916(a1,a904),a1),a324)),a217))),f77(a1)))),a213)
% 201.98/201.91 [3628]E(f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97),f844(f78(a1),a97))
% 201.98/201.91 [3666]E(f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97),f844(f844(f3(a1),a82),a97))
% 201.98/201.91 [3828]E(f844(f844(f59(f915(a908,a908)),f241(f916(f915(a908,a908),a904))),a108),a98)
% 201.98/201.91 [3857]E(f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f77(a1))
% 201.98/201.91 [3858]E(f844(f103(a99),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f77(a99))
% 201.98/201.91 [3859]E(f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f77(a908))
% 201.98/201.91 [3863]E(f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(a112,f2(a908)))
% 201.98/201.91 [4246]E(f844(f844(f110(f916(f915(f915(a908,a908),f915(a908,a908)),a904)),a32),f306(f915(a908,a908),f188(f916(f915(f915(a908,a908),f915(a908,a908)),a904)))),a70)
% 201.98/201.91 [4315]E(f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),f77(a908)),f2(a908))),f188(f916(f915(a908,a908),a904))))),f77(a1))
% 201.98/201.91 [4316]E(f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),f2(a908)),f2(a908))),f188(f916(f915(a908,a908),a904))))),f2(a1))
% 201.98/201.91 [4329]E(f844(f261(f915(a908,a908)),f844(f256(a908,a908,a904),f844(f844(f10(a908,f916(a908,a904),a908),f844(f9(a908,a908,a904),a324)),a112))),a316)
% 201.98/201.91 [4301]E(f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),f844(a112,f844(a112,f2(a908))))
% 201.98/201.91 [4304]E(f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),f844(f844(f79(a908),f77(a908)),f77(a908)))
% 201.98/201.91 [4305]E(f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),f844(f34(a904),f241(f916(a904,a904))))
% 201.98/201.91 [4368]P5(f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))
% 201.98/201.91 [4437]P26(f916(f915(a908,a908),a904),f844(f844(f251(f916(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),a904),f916(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),a904)),a33),a69))
% 201.98/201.91 [4438]P26(f916(f915(a908,a908),a904),f844(f844(f251(f916(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),a904),f916(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),a904)),a68),a71))
% 201.98/201.91 [4478]E(f844(f844(f110(f916(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),a904)),f319(f915(a908,a908),a70)),f844(f844(f308(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),f188(f916(f915(a908,a908),a904))),f188(f916(f915(a908,a908),a904)))),f188(f916(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),a904)))),a71)
% 201.98/201.91 [4479]E(f844(f844(f110(f916(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),a904)),f317(f915(a908,a908),a70)),f844(f844(f308(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),f188(f916(f915(a908,a908),a904))),f188(f916(f915(a908,a908),a904)))),f188(f916(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),a904)))),a69)
% 201.98/201.91 [4370]E(f844(a104,f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(a112,f844(a112,f2(a908))))
% 201.98/201.91 [4415]E(f844(f100(a1),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))
% 201.98/201.91 [4448]P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 201.98/201.91 [4449]E(f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97)),f844(a112,f844(a112,f844(a112,f2(a908)))))
% 201.98/201.91 [4493]P5(f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97)))
% 201.98/201.91 [4519]E(f844(f100(a1),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97))),f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97)))
% 201.98/201.91 [4532]P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97))))
% 201.98/201.91 [3262]P6(x32621,a324)
% 201.98/201.91 [3654]P24(a908,a908,a112,x36541)
% 201.98/201.91 [3254]P104(f907(x32541))
% 201.98/201.91 [3255]P104(f912(x32551))
% 201.98/201.91 [3256]P104(f909(x32561))
% 201.98/201.91 [3257]P104(f910(x32571))
% 201.98/201.91 [3279]P36(a1,f105(x32791))
% 201.98/201.91 [3280]P36(a1,f107(x32801))
% 201.98/201.91 [3330]P36(f916(x33301,a904),f313(x33301))
% 201.98/201.91 [3331]P37(f916(x33311,a904),f313(x33311))
% 201.98/201.91 [3355]E(f242(x33551,x33551,a324),a324)
% 201.98/201.91 [3370]E(f44(a1,x33701,x33701),f2(a1))
% 201.98/201.91 [3423]P13(x34231,f916(x34231,a904),f308(x34231))
% 201.98/201.91 [4605]~E(f844(a112,x46051),x46051)
% 201.98/201.91 [4615]~E(f844(a112,x46151),f2(a908))
% 201.98/201.91 [3264]E(f844(f189(a908),x32641),x32641)
% 201.98/201.91 [3265]E(f844(f103(a1),x32651),x32651)
% 201.98/201.91 [3281]E(f844(a88,f327(x32811)),x32811)
% 201.98/201.91 [3282]E(f844(a5,f567(x32821)),x32821)
% 201.98/201.91 [3283]E(f240(x32831,f2(a99)),f2(a99))
% 201.98/201.91 [3296]E(f114(x32961,f113(x32961)),f113(x32961))
% 201.98/201.91 [3297]E(f152(x32971,f113(x32971)),f113(x32971))
% 201.98/201.91 [3302]E(f844(f167(x33021),f113(x33021)),f113(x33021))
% 201.98/201.91 [3303]E(f844(f171(x33031),f113(x33031)),f113(x33031))
% 201.98/201.91 [3304]E(f844(f168(x33041),f113(x33041)),f113(x33041))
% 201.98/201.91 [3309]E(f844(f103(a1),x33091),f844(f102(a1),x33091))
% 201.98/201.91 [3310]E(f844(a88,f844(a106,x33101)),x33101)
% 201.98/201.91 [3312]E(f844(a5,f844(a22,x33121)),x33121)
% 201.98/201.91 [3313]E(f844(a22,f844(a5,x33131)),x33131)
% 201.98/201.91 [3315]P5(f844(f100(a1),x33151))
% 201.98/201.91 [3324]E(f844(f189(f909(x33241)),f113(x33241)),f2(a908))
% 201.98/201.91 [3325]E(f844(f189(f910(x33251)),f119(x33251)),f2(a908))
% 201.98/201.91 [3346]E(f844(f844(f3(a908),x33461),f2(a908)),x33461)
% 201.98/201.91 [3347]E(f844(f844(f80(a908),x33471),f77(a908)),x33471)
% 201.98/201.91 [3348]E(f844(f844(f80(a1),x33481),f77(a1)),x33481)
% 201.98/201.91 [3349]E(f844(f844(f79(a908),x33491),f2(a908)),x33491)
% 201.98/201.91 [3350]E(f844(f844(f79(a1),x33501),f2(a1)),x33501)
% 201.98/201.91 [3351]E(f844(f844(f233(a908),x33511),f2(a908)),x33511)
% 201.98/201.91 [3352]E(f844(f844(f80(a908),x33521),f2(a908)),f2(a908))
% 201.98/201.91 [3353]E(f844(f844(f232(a908),x33531),f2(a908)),f2(a908))
% 201.98/201.91 [3354]E(f844(f844(f35(a1),x33541),f2(a1)),f2(a1))
% 201.98/201.91 [3361]E(f844(f172(x33611),f113(x33611)),f188(f916(x33611,a904)))
% 201.98/201.91 [3365]P105(f844(f137(x33651),f113(x33651)))
% 201.98/201.91 [3371]E(f844(f154(x33711,x33711),f7(x33711)),f31(f909(x33711)))
% 201.98/201.91 [3372]E(f844(f154(x33721,x33721),f31(x33721)),f31(f909(x33721)))
% 201.98/201.91 [3373]E(f44(a1,x33731,f2(a1)),x33731)
% 201.98/201.91 [3374]E(f844(f234(a908),f844(a112,x33741)),f844(f235(a908),x33741))
% 201.98/201.91 [3375]E(f844(f281(a908),f844(a112,x33751)),f844(f300(a908),x33751))
% 201.98/201.91 [3376]E(f844(f282(a908),f844(a112,x33761)),f844(f303(a908),x33761))
% 201.98/201.91 [3378]E(f44(a1,f2(a1),x33781),f2(a1))
% 201.98/201.91 [3391]E(f844(f844(f79(a908),x33911),f77(a908)),f844(a112,x33911))
% 201.98/201.91 [3400]E(f844(f301(a908,x34001),f2(a908)),f188(f916(a908,a904)))
% 201.98/201.91 [3412]E(f302(a908,f2(a908),x34121),f844(f300(a908),x34121))
% 201.98/201.91 [3455]E(f844(f844(f3(a908),f844(a112,x34551)),f77(a908)),x34551)
% 201.98/201.91 [3467]E(f46(f2(a1),x34671),f844(f844(f251(a1,a1),f2(a1)),f2(a1)))
% 201.98/201.91 [3517]P105(f844(f844(f235(a908),x35171),f844(a112,x35171)))
% 201.98/201.91 [3529]P105(f844(f844(f235(a908),f2(a908)),f844(a112,x35291)))
% 201.98/201.91 [3757]E(f90(x37571,x37571,f241(f916(x37571,a904)),f31(x37571)),f31(x37571))
% 201.98/201.91 [3815]E(f844(f844(f3(a99),f844(a5,f844(a112,f844(a22,x38151)))),f77(a99)),x38151)
% 201.98/201.91 [3886]P105(f844(f844(f234(a1),f844(f78(a1),f844(f100(a1),x38861))),f2(a1)))
% 201.98/201.91 [4035]P105(f844(f844(f235(a1),f844(f78(a1),f844(f100(a1),f844(a112,x40351)))),f2(a1)))
% 201.98/201.91 [4625]~E(f241(f916(x46251,a904)),f188(f916(x46251,a904)))
% 201.98/201.91 [4660]~P105(f844(f844(f235(a908),x46601),f2(a908)))
% 201.98/201.91 [4673]~P105(f844(f844(f235(a1),f844(f100(a1),x46731)),f2(a1)))
% 201.98/201.91 [3314]E(f120(x33141,f119(f910(x33141))),f119(x33141))
% 201.98/201.91 [3329]E(f179(x33291,f113(f909(x33291))),f113(f909(x33291)))
% 201.98/201.91 [3332]E(f844(f844(f80(a1),a82),x33321),a82)
% 201.98/201.91 [3333]E(f844(f844(f79(a1),a82),x33331),x33331)
% 201.98/201.91 [3336]E(f844(a104,f844(f100(a1),x33361)),x33361)
% 201.98/201.91 [3337]E(f844(f844(f3(a1),x33371),a82),x33371)
% 201.98/201.91 [3338]E(f844(f844(f79(a1),x33381),a82),x33381)
% 201.98/201.91 [3340]E(f844(f844(f3(a908),x33401),x33401),f2(a908))
% 201.98/201.91 [3344]E(f844(f34(a908),f844(f281(a908),x33441)),x33441)
% 201.98/201.91 [3345]E(f844(f78(a1),f844(f78(a1),x33451)),x33451)
% 201.98/201.91 [3356]E(f844(f844(f80(a908),f77(a908)),x33561),x33561)
% 201.98/201.91 [3357]E(f844(f844(f80(a1),f77(a1)),x33571),x33571)
% 201.98/201.91 [3358]E(f844(f844(f79(a908),f2(a908)),x33581),x33581)
% 201.98/201.91 [3359]E(f844(f844(f79(a1),f2(a1)),x33591),x33591)
% 201.98/201.91 [3360]E(f844(f844(f233(a908),f2(a908)),x33601),x33601)
% 201.98/201.91 [3366]E(f844(f844(f3(a908),f2(a908)),x33661),f2(a908))
% 201.98/201.91 [3367]E(f844(f844(f80(a908),f2(a908)),x33671),f2(a908))
% 201.98/201.91 [3368]E(f844(f844(f232(a908),f2(a908)),x33681),f2(a908))
% 201.98/201.91 [3369]E(f844(f844(f35(a1),f2(a1)),x33691),f2(a1))
% 201.98/201.91 [3379]E(f128(x33791,f844(f78(a1),x33791)),f132(a1,x33791))
% 201.98/201.91 [3384]E(f844(f301(a908,f2(a908)),x33841),f844(f281(a908),x33841))
% 201.98/201.91 [3385]E(f844(f844(f80(a1),a97),x33851),f844(f78(a1),x33851))
% 201.98/201.91 [3393]E(f844(a104,f844(f103(a1),x33931)),f844(f103(a908),x33931))
% 201.98/201.91 [3394]E(f844(a22,f844(f103(a99),x33941)),f844(f103(a908),x33941))
% 201.98/201.91 [3395]E(f844(f34(a908),f844(f300(a908),x33951)),f844(a112,x33951))
% 201.98/201.91 [3404]E(f844(f844(f79(a908),f77(a908)),x34041),f844(a112,x34041))
% 201.98/201.91 [3408]E(f844(f75(a1),f844(f100(a1),x34081)),f844(f100(a1),x34081))
% 201.98/201.91 [3409]E(f844(f102(a1),f844(f100(a1),x34091)),f844(f100(a1),x34091))
% 201.98/201.91 [3413]E(f844(f34(x34131),f188(f916(x34131,a904))),f2(a908))
% 201.98/201.91 [3415]E(f844(f844(f35(a908),x34151),f844(a112,f2(a908))),x34151)
% 201.98/201.91 [3424]E(f44(a908,x34241,f844(a112,f2(a908))),f2(a908))
% 201.98/201.91 [3425]E(f44(a1,x34251,f844(f103(a1),a97)),f2(a1))
% 201.98/201.91 [3439]E(f844(f844(f35(a1),x34391),f844(f103(a1),a97)),f844(f78(a1),x34391))
% 201.98/201.91 [3443]E(f139(a908,f844(f301(a908,x34431),f2(a908))),f113(a908))
% 201.98/201.91 [3444]E(f844(f844(f79(a1),x34441),f77(a1)),f844(f844(f3(a1),x34441),a97))
% 201.98/201.91 [3445]E(f844(f844(f3(a1),x34451),f77(a1)),f844(f844(f79(a1),x34451),a97))
% 201.98/201.91 [3449]P105(f844(f844(f234(a908),x34491),x34491))
% 201.98/201.91 [3450]P105(f844(f844(f234(a1),x34501),x34501))
% 201.98/201.91 [3451]P105(f844(f844(f286(a908),x34511),x34511))
% 201.98/201.91 [3456]E(f844(f78(a1),f844(f103(a1),x34561)),f844(f103(a1),f844(f78(a1),x34561)))
% 201.98/201.91 [3457]P105(f844(f60(a908),f844(f281(a908),x34571)))
% 201.98/201.91 [3458]P105(f844(f60(a908),f844(f300(a908),x34581)))
% 201.98/201.91 [3465]E(f161(x34651,f241(f916(x34651,a904))),f241(f916(f909(x34651),a904)))
% 201.98/201.91 [3470]P105(f844(f844(f234(a908),f2(a908)),x34701))
% 201.98/201.91 [3480]E(f844(f844(f79(a908),f111(x34801)),f844(a112,f2(a908))),f111(f844(a112,x34801)))
% 201.98/201.91 [3481]E(f844(f261(x34811),f844(f18(a904,x34811),a238)),f188(f916(x34811,a904)))
% 201.98/201.91 [3482]E(f844(f261(x34821),f844(f18(a904,x34821),a187)),f241(f916(x34821,a904)))
% 201.98/201.91 [3486]E(f844(f844(f308(a908),x34861),f844(f281(a908),x34861)),f844(f281(a908),f844(a112,x34861)))
% 201.98/201.91 [3498]E(f844(f844(f79(a1),f77(a1)),f844(f100(a1),x34981)),f844(f100(a1),f844(a112,x34981)))
% 201.98/201.91 [3500]E(f844(f844(f151(f909(x35001)),f113(x35001)),f113(f909(x35001))),f53(x35001,f113(x35001)))
% 201.98/201.91 [3520]E(f188(f916(f915(x35201,x35201),a904)),f262(x35201,f188(f916(x35201,a904))))
% 201.98/201.91 [3521]E(f844(f307(x35211),f241(f916(x35211,a904))),f241(f916(f916(x35211,a904),a904)))
% 201.98/201.91 [3522]E(f844(f78(f916(x35221,a904)),f188(f916(x35221,a904))),f241(f916(x35221,a904)))
% 201.98/201.91 [3523]E(f844(f78(f916(x35231,a904)),f241(f916(x35231,a904))),f188(f916(x35231,a904)))
% 201.98/201.91 [3525]P105(f844(f60(x35251),f188(f916(x35251,a904))))
% 201.98/201.91 [3527]E(f844(f301(a908,x35271),f844(a112,x35271)),f844(f844(f308(a908),x35271),f188(f916(a908,a904))))
% 201.98/201.91 [3528]E(f84(f915(a908,a908),f47(x35281,f2(a908))),f844(f844(f251(a908,a908),f2(a908)),x35281))
% 201.98/201.91 [3541]E(f844(f844(f308(a908),f844(a112,x35411)),f844(f300(a908),x35411)),f844(f300(a908),f844(a112,x35411)))
% 201.98/201.91 [3545]P36(x35451,f188(f916(f915(x35451,x35451),a904)))
% 201.98/201.91 [3546]P38(x35461,f188(f916(f915(x35461,x35461),a904)))
% 201.98/201.91 [3549]P105(f844(f844(f234(a1),f2(a1)),f844(f100(a1),x35491)))
% 201.98/201.91 [3556]E(f844(f844(f79(a908),f844(f189(a908),x35561)),f844(a112,f2(a908))),f844(f189(a908),f844(a112,x35561)))
% 201.98/201.91 [3661]P39(f844(f309(a908,a1,f100(a1)),x36611))
% 201.98/201.91 [3699]P51(x36991,f188(f916(x36991,a904)),f188(f916(f915(x36991,x36991),a904)))
% 201.98/201.91 [3718]E(f844(f844(f251(a1,a1),f844(f103(a1),a97)),f844(f844(f3(a1),x37181),f77(a1))),f49(f844(f103(a1),a97),x37181))
% 201.98/201.91 [3770]P58(x37701,f844(f18(f916(x37701,a904),x37701),f844(f18(a904,x37701),a238)))
% 201.98/201.91 [3782]E(f289(a908,f286(a908),x37821,x37821),f844(f844(f308(a908),x37821),f188(f916(a908,a904))))
% 201.98/201.91 [3975]P105(f844(f844(f328(f916(f915(a908,a908),a904)),f327(x39751)),a98))
% 201.98/201.91 [4001]P105(f844(f844(f328(f916(f915(a908,a908),a904)),f844(a106,x40011)),a98))
% 201.98/201.91 [4133]P24(x41331,f916(x41331,a904),f844(f844(f9(x41331,f916(x41331,a904),f916(x41331,a904)),f308(x41331)),f188(f916(x41331,a904))),f241(f916(x41331,a904)))
% 201.98/201.91 [4622]~E(f844(f844(f79(a1),x46221),x46221),a97)
% 201.98/201.91 [4647]~E(f844(a5,f844(a112,f844(a22,x46471))),f2(a99))
% 201.98/201.91 [4653]~P105(f844(a193,f844(f100(a1),x46531)))
% 201.98/201.91 [4656]~P105(f844(f844(f235(a908),x46561),x46561))
% 201.98/201.91 [4666]~P105(f844(f844(f234(a908),f844(a112,x46661)),x46661))
% 201.98/201.91 [3472]E(f844(a104,f844(f78(a1),f844(f100(a1),x34721))),f2(a908))
% 201.98/201.91 [3475]E(f844(f844(f79(a1),f844(f78(a1),x34751)),x34751),f2(a1))
% 201.98/201.91 [3479]E(f844(f34(a1),f844(f301(a1,f2(a1)),x34791)),f844(a104,x34791))
% 201.98/201.91 [3491]E(f844(f844(f243(a908),f844(a112,f2(a908))),x34911),f844(a112,f2(a908)))
% 201.98/201.91 [3588]E(f844(f280(x35881),f188(f916(f915(x35881,x35881),a904))),f188(f916(x35881,a904)))
% 201.98/201.91 [3596]E(f36(f916(x35961,a904),f188(f916(f916(x35961,a904),a904))),f188(f916(x35961,a904)))
% 201.98/201.91 [3597]E(f36(f916(x35971,a904),f241(f916(f916(x35971,a904),a904))),f241(f916(x35971,a904)))
% 201.98/201.91 [3598]E(f37(f916(x35981,a904),f188(f916(f916(x35981,a904),a904))),f241(f916(x35981,a904)))
% 201.98/201.91 [3599]E(f37(f916(x35991,a904),f241(f916(f916(x35991,a904),a904))),f188(f916(x35991,a904)))
% 201.98/201.91 [3603]P105(f844(f844(f286(a908),f844(a112,f2(a908))),x36031))
% 201.98/201.91 [3644]E(f844(f844(f308(f909(x36441)),f113(x36441)),f188(f916(f909(x36441),a904))),f161(x36441,f188(f916(x36441,a904))))
% 201.98/201.91 [3645]E(f844(f844(f308(f909(x36451)),f113(x36451)),f188(f916(f909(x36451),a904))),f162(x36451,f113(f916(x36451,a904))))
% 201.98/201.91 [3683]E(f844(f844(f79(a908),f6(x36831)),f844(a112,f2(a908))),f6(f844(a5,f844(a112,f844(a22,x36831)))))
% 201.98/201.91 [3709]E(f844(f34(a1),f844(f309(a908,a1,f100(a1)),x37091)),f844(f34(a908),x37091))
% 201.98/201.91 [3710]P105(f844(f844(f234(a908),x37101),f844(f844(f80(a908),x37101),x37101)))
% 201.98/201.91 [3748]E(f844(f309(a1,a908,a104),f302(a1,f2(a1),f844(f100(a1),x37481))),f844(f300(a908),x37481))
% 201.98/201.91 [3765]E(f844(f844(f35(a908),f844(a112,f2(a908))),f844(f103(a908),x37651)),f844(a104,f844(f844(f35(a1),f77(a1)),f844(f103(a1),x37651))))
% 201.98/201.91 [3767]E(f844(f172(a908),f139(a908,f844(f301(a908,f2(a908)),f844(a112,x37671)))),f844(f300(a908),x37671))
% 201.98/201.91 [3768]E(f844(f844(f79(a908),f844(f189(a99),x37681)),f844(a112,f2(a908))),f844(f189(a99),f844(a5,f844(a112,f844(a22,x37681)))))
% 201.98/201.91 [3788]P38(x37881,f306(x37881,f188(f916(f915(x37881,x37881),a904))))
% 201.98/201.91 [3789]P50(x37891,f306(x37891,f188(f916(f915(x37891,x37891),a904))))
% 201.98/201.91 [3790]E(f844(f309(a1,a908,a104),f844(f309(a908,a1,f100(a1)),x37901)),x37901)
% 201.98/201.91 [3821]E(f844(f844(f308(a908),f2(a908)),f844(f309(a908,a908,a112),f844(f281(a908),x38211))),f844(f281(a908),f844(a112,x38211)))
% 201.98/201.91 [3827]P53(x38271,x38271,f306(x38271,f188(f916(f915(x38271,x38271),a904))))
% 201.98/201.91 [3833]P105(f844(a193,f844(f78(a1),f844(f100(a1),f844(a112,x38331)))))
% 201.98/201.91 [3843]E(f844(f844(f3(f916(a908,a904)),f844(f282(a908),x38431)),f844(f844(f308(a908),x38431),f188(f916(a908,a904)))),f844(f282(a908),f844(a112,x38431)))
% 201.98/201.91 [3860]E(f844(f844(f79(a1),f844(f844(f3(a1),a82),x38601)),f844(f844(f3(a1),a82),x38601)),f844(f844(f3(a1),a82),f844(f844(f79(a1),x38601),x38601)))
% 201.98/201.91 [3875]E(f844(f844(f308(f916(x38751,a904)),f188(f916(x38751,a904))),f188(f916(f916(x38751,a904),a904))),f844(f307(x38751),f188(f916(x38751,a904))))
% 201.98/201.91 [3903]E(f844(f844(f3(f916(a908,a904)),f844(f303(a908),x39031)),f844(f844(f308(a908),f844(a112,x39031)),f188(f916(a908,a904)))),f844(f303(a908),f844(a112,x39031)))
% 201.98/201.91 [4013]E(f844(f103(a908),f844(f844(f79(a1),x40131),x40131)),f844(f844(f85(a908,a908),f844(f103(a908),x40131)),f844(f844(f20(a908,a908,a908),f79(a908)),f7(a908))))
% 201.98/201.91 [4390]P13(x43901,f916(x43901,a904),f844(f844(f10(f916(x43901,a904),f916(f916(x43901,a904),f916(x43901,a904)),x43901),f844(f9(f916(x43901,a904),f916(x43901,a904),f916(x43901,a904)),f3(f916(x43901,a904)))),f844(f844(f9(x43901,f916(x43901,a904),f916(x43901,a904)),f308(x43901)),f188(f916(x43901,a904)))))
% 201.98/201.91 [4477]E(f844(f261(f915(a1,a1)),f844(f256(a1,a1,a904),f844(f844(f10(f916(a1,a904),f916(a1,a904),a1),f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),x44771)))),f235(a1)))),f107(x44771))
% 201.98/201.91 [4510]E(f844(f261(f915(a1,a1)),f844(f256(a1,a1,a904),f844(f844(f20(a1,f916(a1,a904),f916(a1,a904)),f844(f844(f10(f916(a904,a904),f916(f916(a1,a904),f916(a1,a904)),a1),f10(a904,a904,a1)),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),x45101)))),f235(a1)))),f105(x45101))
% 201.98/201.91 [4563]E(f844(f261(f915(f916(x45631,a904),f916(x45631,a904))),f844(f256(f916(x45631,a904),f916(x45631,a904),a904),f844(f844(f9(f916(x45631,a904),f916(f916(x45631,a904),a904),f916(f916(x45631,a904),a904)),f844(f844(f10(f916(f916(x45631,a904),f916(a904,a904)),f916(f916(f916(x45631,a904),a904),f916(f916(x45631,a904),a904)),f916(x45631,a904)),f20(f916(x45631,a904),a904,a904)),f844(f844(f10(f916(f916(x45631,a904),a904),f916(f916(x45631,a904),f916(a904,a904)),f916(x45631,a904)),f844(f10(a904,f916(a904,a904),f916(x45631,a904)),a325)),f235(f916(x45631,a904))))),f60(x45631)))),f313(x45631))
% 201.98/201.91 [4670]~P105(f844(f60(f909(x46701)),f241(f916(f909(x46701),a904))))
% 201.98/201.92 [4682]~P105(f844(f844(f234(a1),f2(a1)),f844(f78(a1),f844(f100(a1),f844(a112,x46821)))))
% 201.98/201.92 [3623]E(f844(f844(f3(a1),f844(f844(f79(a1),x36231),a97)),a97),x36231)
% 201.98/201.92 [3637]E(f844(f172(a908),f139(a908,f844(f301(a908,f2(a908)),x36371))),f844(f281(a908),x36371))
% 201.98/201.92 [3882]E(f844(f844(f79(a1),f844(f844(f79(a1),f77(a1)),x38821)),x38821),f844(f844(f3(a1),f844(f844(f79(a1),x38821),x38821)),a97))
% 201.98/201.92 [3931]E(f844(f285(x39311,x39311),f306(x39311,f188(f916(f915(x39311,x39311),a904)))),f306(x39311,f188(f916(f915(x39311,x39311),a904))))
% 201.98/201.92 [3978]P105(f844(f844(f234(a908),x39781),f844(f844(f80(a908),x39781),f844(f844(f80(a908),x39781),x39781))))
% 201.98/201.92 [4250]P105(f844(f60(a908),f844(f261(a908),f844(f844(f9(a908,a908,a904),f234(a908)),x42501))))
% 201.98/201.92 [4251]P105(f844(f60(a908),f844(f261(a908),f844(f844(f9(a908,a908,a904),f235(a908)),x42511))))
% 201.98/201.92 [4526]E(f844(f261(f915(x45261,x45261)),f844(f844(f10(f916(x45261,a904),a904,f915(x45261,x45261)),f86(x45261)),f844(f844(f9(f915(x45261,x45261),f916(x45261,f915(x45261,x45261)),f916(x45261,a904)),f844(f844(f10(f916(f915(x45261,x45261),a904),f916(f916(x45261,f915(x45261,x45261)),f916(x45261,a904)),f915(x45261,x45261)),f10(f915(x45261,x45261),a904,x45261)),a324)),f844(f844(f20(x45261,x45261,f915(x45261,x45261)),f251(x45261,x45261)),f7(x45261))))),f306(x45261,f188(f916(f915(x45261,x45261),a904))))
% 201.98/201.92 [4672]~E(f844(f844(f3(a1),f844(f844(f79(a1),x46721),x46721)),a97),a82)
% 201.98/201.92 [4674]~E(f844(f844(f79(a1),f844(f844(f79(a1),f77(a1)),x46741)),x46741),f2(a1))
% 201.98/201.92 [4024]E(f844(f844(f79(a1),f844(f844(f3(a1),a97),x40241)),f844(f844(f3(a1),a97),x40241)),f844(f844(f3(a1),a97),f844(f844(f3(a1),f844(f844(f79(a1),x40241),x40241)),a97)))
% 201.98/201.92 [4141]E(f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),a97),x41411)),f844(f844(f3(a1),a97),x41411))),a97),f844(f844(f3(a1),a97),f844(f844(f79(a1),x41411),x41411)))
% 201.98/201.92 [4173]E(f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f79(a1),x41731),a97)),f844(f844(f79(a1),x41731),a97))),a97),f844(f844(f79(a1),f844(f844(f79(a1),x41731),x41731)),a97))
% 201.98/201.92 [4211]E(f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),a97),x42111)),f844(f844(f3(a1),a97),x42111))),a97),f844(f844(f3(a1),a82),f844(f844(f3(a1),f844(f844(f79(a1),x42111),x42111)),a97)))
% 201.98/201.92 [4311]E(f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x43111),f2(a908))),f188(f916(f915(a908,a908),a904))))),f844(f100(a1),x43111))
% 201.98/201.92 [4321]E(f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),f331(x43211)),f494(x43211))),f188(f916(f915(a908,a908),a904))))),x43211)
% 201.98/201.92 [4354]E(f844(f261(a1),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),x43541)),f844(f309(a908,a1,f100(a1)),f844(f261(a908),f844(f844(f10(a1,a904,a908),x43541),f100(a1)))))
% 201.98/201.92 [4398]P39(f844(f261(a1),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),x43981)))
% 201.98/201.92 [4418]P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),x44181),f188(f916(f915(a908,a908),a904)))),a71))
% 201.98/201.92 [4423]E(f844(f309(a1,a908,a104),f844(f261(a1),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),f844(f844(f10(a908,a904,a1),x44231),a104)))),f844(f261(a908),x44231))
% 201.98/201.92 [4578]E(f311(a908,f844(f844(f39(f915(a908,a908),f916(a908,a904)),f844(a106,x45781)),f844(f256(a908,a908,f916(a908,a904)),f844(f844(f9(a908,f916(a908,a904),f916(a908,f916(a908,a904))),f844(f844(f10(f916(a908,f916(f916(a908,a904),f916(a908,a904))),f916(f916(a908,a904),f916(a908,f916(a908,a904))),a908),f9(a908,f916(a908,a904),f916(a908,a904))),f844(f844(f10(f916(a908,a908),f916(a908,f916(f916(a908,a904),f916(a908,a904))),a908),f844(f10(a908,f916(f916(a908,a904),f916(a908,a904)),a908),f308(a908))),f3(a908)))),f188(f916(a908,a904)))))),f844(a104,x45781))
% 201.98/201.92 [4071]E(f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),x40711),x40711)),a97)),a97),f844(f844(f79(a1),x40711),x40711))
% 201.98/201.92 [4121]E(f844(f844(f3(a1),f844(f844(f3(a1),f844(f844(f79(a1),x41211),x41211)),a97)),a97),f844(f844(f79(a1),f844(f844(f3(a1),x41211),a97)),f844(f844(f3(a1),x41211),a97)))
% 201.98/201.92 [4327]E(f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f79(a1),f844(f78(a1),x43271)),a97)),f844(f844(f79(a1),f844(f78(a1),x43271)),a97))),a97),f844(f78(a1),f844(f844(f3(a1),f844(f844(f79(a1),x43271),x43271)),a97)))
% 201.98/201.92 [4371]E(f844(f844(f79(a908),x43711),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(a112,f844(a112,x43711)))
% 201.98/201.92 [4372]E(f844(f844(f80(a908),x43721),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f844(f79(a908),x43721),x43721))
% 201.98/201.92 [4373]E(f844(f844(f35(a908),f844(f844(f79(a908),x43731),x43731)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x43731)
% 201.98/201.92 [4451]E(f44(a908,f844(a112,f844(a112,x44511)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f44(a908,x44511,f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 201.98/201.92 [4592]E(f844(a88,f844(f844(f39(f915(a908,a908),f916(f915(a908,a908),a904)),f844(a106,x45921)),f844(f256(a908,a908,f916(f915(a908,a908),a904)),f844(f844(f10(f916(a908,f916(f915(a908,a908),a904)),f916(a908,f916(f915(a908,a908),a904)),a908),f844(f10(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904),a908),f284(f915(a908,a908),f915(a908,a908),a108))),f844(f844(f9(a908,f916(f915(a908,a908),a904),f916(a908,f916(f915(a908,a908),a904))),f844(f844(f10(f916(a908,f916(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f916(f916(f915(a908,a908),a904),f916(a908,f916(f915(a908,a908),a904))),a908),f9(a908,f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f10(f916(a908,f915(a908,a908)),f916(a908,f916(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),a908),f844(f10(f915(a908,a908),f916(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),a908),f308(f915(a908,a908)))),f844(f9(a908,a908,f915(a908,a908)),f251(a908,a908))))),f188(f916(f915(a908,a908),a904))))))),f844(f78(a1),x45921))
% 201.98/201.92 [4446]E(f844(f844(f79(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x44461),f844(a112,f844(a112,x44461)))
% 201.98/201.92 [4447]E(f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x44471),f844(f844(f79(a908),x44471),x44471))
% 201.98/201.92 [4483]E(f844(f844(f35(a908),f844(a112,f844(a112,x44831))),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(a112,f844(f844(f35(a908),x44831),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 201.98/201.92 [4533]E(f844(f844(f79(a908),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97))),x45331),f844(a112,f844(a112,f844(a112,x45331))))
% 201.98/201.92 [4599]E(f844(f256(a1,a1,f915(a1,a1)),f844(f844(f20(a1,f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),f844(f844(f10(f916(a1,f916(f915(a1,a1),f915(a1,a1))),f916(f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),a1),f20(a1,f915(a1,a1),f915(a1,a1))),f844(f844(f10(f916(a1,f915(a1,a1)),f916(a1,f916(f915(a1,a1),f915(a1,a1))),a1),f844(f20(a1,f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),f844(f844(f10(a904,f916(f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),a1),f96(f915(a1,a1))),f844(f844(f10(a1,a904,a1),f844(f234(a1),f2(a1))),f844(f844(f9(a1,a1,a1),f3(a1)),x45991))))),f844(f844(f9(a1,f916(a1,a1),f916(a1,f915(a1,a1))),f844(f844(f10(f916(a1,f915(a1,a1)),f916(f916(a1,a1),f916(a1,f915(a1,a1))),a1),f10(a1,f915(a1,a1),a1)),f844(f844(f10(a1,f916(a1,f915(a1,a1)),a1),f251(a1,a1)),f844(f844(f9(a1,a1,a1),f844(f844(f10(a1,f916(a1,a1),a1),f79(a1)),f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))),f77(a1))))),f844(f844(f9(a1,a1,a1),f3(a1)),x45991))))),f844(f844(f10(a1,f916(a1,f915(a1,a1)),a1),f251(a1,a1)),f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))),f42(x45991))
% 201.98/201.92 [3299]P104(f914(x32991,x32992))
% 201.98/201.92 [3300]P104(f913(x33001,x33002))
% 201.98/201.92 [3301]P104(f915(x33011,x33012))
% 201.98/201.92 [3318]P12(a1,f178(x33181,x33182))
% 201.98/201.92 [3319]P36(x33191,f153(x33191,x33192))
% 201.98/201.92 [3320]P37(x33201,f262(x33201,x33202))
% 201.98/201.92 [3321]P37(x33211,f306(x33211,x33212))
% 201.98/201.92 [3322]P38(x33221,f262(x33221,x33222))
% 201.98/201.92 [3323]P50(x33231,f262(x33231,x33232))
% 201.98/201.92 [3386]P30(x33861,x33862,f113(x33861))
% 201.98/201.92 [3419]P51(x34191,x34192,f262(x34191,x34192))
% 201.98/201.92 [3420]P53(x34201,x34201,f262(x34201,x34202))
% 201.98/201.92 [3686]P24(x36861,x36861,f7(x36861),x36862)
% 201.98/201.92 [3687]P24(x36871,x36871,f31(x36871),x36872)
% 201.98/201.92 [3695]P31(x36951,x36952,f113(x36951),f113(x36951))
% 201.98/201.92 [3703]P24(f909(x37031),f909(x37031),f168(x37031),x37032)
% 201.98/201.92 [4111]P25(x41111,x41111,f31(x41111),x41112,x41112)
% 201.98/201.92 [4608]~E(f30(x46081,x46082),a25)
% 201.98/201.92 [4609]~E(f29(x46091,x46092),a25)
% 201.98/201.92 [4634]~P32(x46341,x46342,f113(x46341))
% 201.98/201.92 [4635]~P34(x46351,x46352,f113(x46351))
% 201.98/201.92 [3285]E(f844(f7(x32851),x32852),x32852)
% 201.98/201.92 [3286]E(f844(f261(x32861),x32862),x32862)
% 201.98/201.92 [3288]E(f844(f31(x32881),x32882),x32882)
% 201.98/201.92 [3298]E(f844(f191(x32981),x32982),f115(x32981))
% 201.98/201.92 [3316]E(f84(x33161,f844(a324,x33162)),x33162)
% 201.98/201.92 [3317]E(f89(x33171,f844(a324,x33172)),x33172)
% 201.98/201.92 [3339]E(f844(f125(x33391,x33392),f119(x33391)),f2(a908))
% 201.98/201.92 [3342]E(f844(f136(x33421,x33422),f113(x33421)),f113(x33421))
% 201.98/201.92 [3362]E(f306(x33621,f306(x33621,x33622)),f306(x33621,x33622))
% 201.98/201.92 [3363]E(f152(x33631,f152(x33631,x33632)),f152(x33631,x33632))
% 201.98/201.92 [3381]E(f844(f844(f134(x33811),x33812),f113(x33811)),x33812)
% 201.98/201.92 [3387]E(f173(x33871,x33872,f113(x33871)),x33872)
% 201.98/201.92 [3388]E(f173(x33881,f113(x33881),x33882),x33882)
% 201.98/201.92 [3389]E(f116(x33891,f119(x33891),x33892),x33892)
% 201.98/201.92 [3390]E(f169(x33901,f2(a908),x33902),f113(x33901))
% 201.98/201.92 [3396]E(f844(f844(f175(x33961),x33962),f113(x33961)),f113(x33961))
% 201.98/201.92 [3397]E(f844(f844(f138(x33971),x33972),f113(x33971)),f113(x33971))
% 201.98/201.92 [3399]E(f155(x33991,x33992,f113(x33991)),f2(a908))
% 201.98/201.92 [3401]E(f170(x34011,x34012,f113(x34011)),f113(x34011))
% 201.98/201.92 [3402]E(f177(x34021,x34022,f113(x34021)),f113(x34021))
% 201.98/201.92 [3403]E(f176(x34031,f113(x34031),x34032),f113(x34031))
% 201.98/201.92 [3407]E(f844(f172(x34071),f152(x34071,x34072)),f844(f172(x34071),x34072))
% 201.98/201.92 [3410]E(f844(f283(x34101,x34101),f262(x34101,x34102)),x34102)
% 201.98/201.92 [3411]E(f844(f263(x34111,x34111),f262(x34111,x34112)),x34112)
% 201.98/201.92 [3418]E(f844(f285(x34181,x34181),f262(x34181,x34182)),f262(x34181,x34182))
% 201.98/201.92 [3431]E(f306(f909(x34311),f157(x34311,x34312)),f158(x34311,f306(x34311,x34312)))
% 201.98/201.92 [3433]P105(f844(f137(a1),f178(x34331,x34332)))
% 201.98/201.92 [3441]E(f844(f283(x34411,x34411),f306(x34411,x34412)),f241(f916(x34411,a904)))
% 201.98/201.92 [3442]E(f844(f263(x34421,x34421),f306(x34421,x34422)),f241(f916(x34421,a904)))
% 201.98/201.92 [3446]P105(f844(f137(x34461),f152(x34461,x34462)))
% 201.98/201.92 [3448]P105(f844(f160(x34481,x34482),f113(x34481)))
% 201.98/201.92 [3454]E(f844(f172(a1),f178(x34541,x34542)),f302(a1,x34541,x34542))
% 201.98/201.92 [3468]P54(x34681,f188(f916(x34681,a904)),x34682)
% 201.98/201.92 [3473]E(f844(f255(a1,a1),f45(x34731,x34732)),f44(a1,x34731,x34732))
% 201.98/201.92 [3474]E(f844(f301(a908,x34741),f844(a112,x34742)),f302(a908,x34741,x34742))
% 201.98/201.92 [3490]E(f844(f844(f151(x34901),x34902),f113(x34901)),f140(x34901,x34902,f113(x34901)))
% 201.98/201.92 [3502]E(f302(a908,f844(a112,x35021),x35022),f304(a908,x35021,x35022))
% 201.98/201.92 [3505]P51(x35051,f241(f916(x35051,a904)),f306(x35051,x35052))
% 201.98/201.92 [3568]E(f844(f844(f3(a908),x35681),f844(a112,x35682)),f844(f34(a908),f305(a908,x35682,x35681)))
% 201.98/201.92 [3624]E(f166(x36241,x36242,f113(x36241)),f844(f844(f251(f909(x36241),f909(x36241)),f113(x36241)),f113(x36241)))
% 201.98/201.92 [3642]E(f844(f256(x36421,x36422,f915(x36421,x36422)),f251(x36421,x36422)),f31(f915(x36421,x36422)))
% 201.98/201.92 [3646]P105(f844(f844(f328(f909(x36461)),f113(x36461)),f161(x36461,x36462)))
% 201.98/201.92 [3647]E(f844(f189(f909(x36471)),f114(x36471,x36472)),f844(f844(f3(a908),f844(f189(f909(x36471)),x36472)),f77(a908)))
% 201.98/201.92 [3655]P105(f844(f60(a908),f302(a908,x36551,x36552)))
% 201.98/201.92 [3656]P105(f844(f60(a908),f305(a908,x36561,x36562)))
% 201.98/201.92 [3657]P105(f844(f60(a908),f304(a908,x36571,x36572)))
% 201.98/201.92 [3658]P105(f844(f60(a1),f302(a1,x36581,x36582)))
% 201.98/201.92 [3659]P105(f844(f60(a1),f305(a1,x36591,x36592)))
% 201.98/201.92 [3660]P105(f844(f60(a1),f304(a1,x36601,x36602)))
% 201.98/201.92 [3764]E(f844(f309(a908,a908,a112),f302(a908,x37641,x37642)),f302(a908,f844(a112,x37641),f844(a112,x37642)))
% 201.98/201.92 [3784]E(f844(f844(f288(x37841,x37841,x37841),f306(x37841,x37842)),f306(x37841,x37842)),f306(x37841,x37842))
% 201.98/201.92 [3819]E(f844(f844(f251(a99,a99),f844(f844(f35(a99),x38191),x38192)),f44(a99,x38191,x38192)),f23(x38191,x38192))
% 201.98/201.92 [3820]E(f844(f844(f251(a1,a1),f844(f844(f35(a1),x38201),x38202)),f44(a1,x38201,x38202)),f45(x38201,x38202))
% 201.98/201.92 [3847]E(f844(f844(f251(a908,a908),f844(f844(f35(a908),x38471),x38472)),f44(a908,x38471,x38472)),f84(f915(a908,a908),f47(x38471,x38472)))
% 201.98/201.92 [3899]P105(f844(f844(f235(a908),f844(f844(f3(a908),x38991),x38992)),f844(a112,x38991)))
% 201.98/201.92 [3949]P37(x39491,f844(f844(f288(x39491,x39491,x39491),x39492),f306(x39491,x39492)))
% 201.98/201.92 [4000]E(f844(f844(f79(a1),f844(f844(f80(a1),x40001),f844(f844(f35(a1),x40002),x40001))),f44(a1,x40002,x40001)),x40002)
% 201.98/201.92 [4004]E(f844(f844(f39(a908,f916(f915(f909(x40041),f909(x40041)),a904)),f241(f916(a908,a904))),f143(x40041,x40042)),f145(x40041,x40042))
% 201.98/201.92 [4227]P105(f844(f844(f328(f915(f909(x42271),f909(x42271))),f844(f844(f251(f909(x42271),f909(x42271)),f113(x42271)),f113(x42271))),f158(x42271,x42272)))
% 201.98/201.92 [4339]E(f252(x43391,x43391,x43391,a324,f252(x43391,x43391,x43391,x43392,a324)),x43392)
% 201.98/201.92 [4383]E(f257(x43831,x43831,x43832,x43832,f7(x43831),f7(x43832)),f31(f915(x43831,x43832)))
% 201.98/201.92 [4385]E(f257(x43851,x43851,x43852,x43852,f31(x43851),f31(x43852)),f31(f915(x43851,x43852)))
% 201.98/201.92 [3380]E(f844(f168(x33801),f844(f168(x33801),x33802)),x33802)
% 201.98/201.92 [3382]E(f844(f844(f138(x33821),f2(a908)),x33822),x33822)
% 201.98/201.92 [3398]E(f844(f844(f175(x33981),f2(a908)),x33982),f113(x33981))
% 201.98/201.92 [3405]E(f844(f844(f134(x34051),f113(x34051)),x34052),x34052)
% 201.98/201.92 [3414]E(f36(f916(x34141,a904),f844(f307(x34141),x34142)),x34142)
% 201.98/201.92 [3416]E(f844(f172(x34161),f844(f167(x34161),x34162)),f844(f172(x34161),x34162))
% 201.98/201.92 [3417]E(f844(f172(x34171),f844(f168(x34171),x34172)),f844(f172(x34171),x34172))
% 201.98/201.92 [3422]E(f844(f844(f3(a99),x34221),x34222),f844(f844(a4,x34221),x34222))
% 201.98/201.92 [3435]E(f844(f844(f80(a908),x34351),x34352),f844(f844(f80(a908),x34352),x34351))
% 201.98/201.92 [3436]E(f844(f844(f80(a1),x34361),x34362),f844(f844(f80(a1),x34362),x34361))
% 201.98/201.92 [3437]E(f844(f844(f79(a908),x34371),x34372),f844(f844(f79(a908),x34372),x34371))
% 201.98/201.92 [3438]E(f844(f844(f79(a1),x34381),x34382),f844(f844(f79(a1),x34382),x34381))
% 201.98/201.92 [3460]E(f844(f844(f183(x34601,x34601),f2(a908)),x34602),f31(x34601))
% 201.98/201.92 [3461]E(f844(f189(f909(x34611)),f844(f167(x34611),x34612)),f844(f189(f909(x34611)),x34612))
% 201.98/201.92 [3462]E(f844(f189(f909(x34621)),f844(f168(x34621),x34622)),f844(f189(f909(x34621)),x34622))
% 201.98/201.92 [3463]E(f176(x34631,x34632,f188(f916(a908,a904))),f113(x34631))
% 201.98/201.92 [3464]E(f844(f844(f154(x34641,x34641),f7(x34641)),x34642),x34642)
% 201.98/201.92 [3466]E(f844(f250(a1,a1),f45(x34661,x34662)),f844(f844(f35(a1),x34661),x34662))
% 201.98/201.92 [3483]E(f844(f189(f909(x34831)),f152(x34831,x34832)),f844(f34(x34831),f844(f172(x34831),x34832)))
% 201.98/201.92 [3484]E(f28(f29(x34841,x34842)),f844(f844(f79(a908),f28(x34842)),f844(a112,f2(a908))))
% 201.98/201.92 [3485]E(f844(f280(x34851),f844(f285(x34851,x34851),x34852)),f844(f280(x34851),x34852))
% 201.98/201.92 [3489]P105(f844(f60(x34891),f844(f172(x34891),x34892)))
% 201.98/201.92 [3497]E(f844(f844(f79(a1),x34971),f844(f78(a1),x34972)),f844(f844(f3(a1),x34971),x34972))
% 201.98/201.92 [3504]P23(x35041,x35042,f188(f916(f907(x35041),a904)))
% 201.98/201.92 [3506]E(f844(f309(x35061,x35061,f7(x35061)),x35062),x35062)
% 201.98/201.92 [3507]E(f844(f309(x35071,x35071,f31(x35071)),x35072),x35072)
% 201.98/201.92 [3508]E(f844(f310(x35081,x35081,f7(x35081)),x35082),x35082)
% 201.98/201.92 [3509]E(f844(f310(x35091,x35091,f31(x35091)),x35092),x35092)
% 201.98/201.92 [3510]P105(f844(f241(f916(x35101,a904)),x35102))
% 201.98/201.92 [3512]E(f844(f34(a908),f844(f301(a908,x35121),x35122)),f844(f844(f3(a908),x35122),x35121))
% 201.98/201.92 [3513]E(f844(f301(a908,f844(a112,x35131)),x35132),f305(a908,x35131,x35132))
% 201.98/201.92 [3526]E(f844(f844(f308(x35261),x35262),f188(f916(x35261,a904))),f844(f261(x35261),f844(a324,x35262)))
% 201.98/201.92 [3531]E(f306(x35311,f844(f285(x35311,x35311),x35312)),f844(f285(x35311,x35311),f306(x35311,x35312)))
% 201.98/201.92 [3536]E(f844(f844(f79(a908),f844(a112,x35361)),x35362),f844(f844(f79(a908),x35361),f844(a112,x35362)))
% 201.98/201.92 [3537]E(f844(f844(f3(a908),f844(a112,x35371)),f844(a112,x35372)),f844(f844(f3(a908),x35371),x35372))
% 201.98/201.92 [3543]E(f54(x35431,f2(a908),x35432),f844(f844(f151(f909(x35431)),f113(x35431)),f113(f909(x35431))))
% 201.98/201.92 [3544]E(f844(f34(a908),f304(a908,x35441,x35442)),f844(f844(f3(a908),x35442),x35441))
% 201.98/201.92 [3553]P36(x35531,f844(f844(f287(a908,x35531),a239),x35532))
% 201.98/201.92 [3555]P12(a908,f139(a908,f844(f301(a908,x35551),x35552)))
% 201.98/201.92 [3557]P105(f844(f60(a908),f844(f301(a908,x35571),x35572)))
% 201.98/201.92 [3558]P105(f844(f60(a1),f844(f301(a1,x35581),x35582)))
% 201.98/201.92 [3561]E(f844(f285(f909(x35611),f909(x35611)),f157(x35611,x35612)),f157(x35611,f844(f285(x35611,x35611),x35612)))
% 201.98/201.92 [3562]E(f844(f189(a905),f29(x35621,x35622)),f844(f844(f79(a908),f844(f189(a905),x35622)),f844(a112,f2(a908))))
% 201.98/201.92 [3564]E(f844(f301(a1,x35641),f844(f844(f79(a1),x35642),f77(a1))),f302(a1,x35641,x35642))
% 201.98/201.92 [3567]E(f844(f844(f35(a1),f844(f78(a1),x35671)),f844(f78(a1),x35672)),f844(f844(f35(a1),x35671),x35672))
% 201.98/201.92 [3575]E(f844(f844(f183(f915(x35751,x35751),a904),f77(a908)),x35752),x35752)
% 201.98/201.92 [3577]E(f844(f844(f110(f916(x35771,a904)),x35772),f188(f916(x35771,a904))),x35772)
% 201.98/201.92 [3578]E(f844(f844(f3(f916(x35781,a904)),x35782),f188(f916(x35781,a904))),x35782)
% 201.98/201.92 [3579]E(f844(f844(f101(f916(x35791,a904)),x35792),f241(f916(x35791,a904))),x35792)
% 201.98/201.92 [3580]E(f844(f250(a908,a908),f84(f915(a908,a908),f47(x35801,x35802))),f844(f844(f35(a908),x35801),x35802))
% 201.98/201.92 [3587]E(f302(a1,f844(f844(f79(a1),x35871),f77(a1)),x35872),f304(a1,x35871,x35872))
% 201.98/201.92 [3592]E(f844(f255(a908,a908),f84(f915(a908,a908),f47(x35921,x35922))),f44(a908,x35921,x35922))
% 201.98/201.92 [3602]P105(f844(f844(f328(x36021),x36022),f241(f916(x36021,a904))))
% 201.98/201.92 [3607]E(f844(f844(f3(a908),f844(a112,x36071)),x36072),f844(f34(a908),f302(a908,x36072,x36071)))
% 201.98/201.92 [3633]E(f844(f844(f110(f916(x36331,a904)),x36332),f241(f916(x36331,a904))),f241(f916(x36331,a904)))
% 201.98/201.92 [3634]E(f844(f844(f3(f916(x36341,a904)),x36342),f241(f916(x36341,a904))),f188(f916(x36341,a904)))
% 201.98/201.92 [3635]E(f844(f844(f101(f916(x36351,a904)),x36352),f188(f916(x36351,a904))),f188(f916(x36351,a904)))
% 201.98/201.92 [3650]E(f44(a1,f844(f100(a1),x36501),f844(f100(a1),x36502)),f844(f100(a1),f44(a908,x36501,x36502)))
% 201.98/201.92 [3651]E(f44(a1,f844(f78(a1),x36511),f844(f78(a1),x36512)),f844(f78(a1),f44(a1,x36511,x36512)))
% 201.98/201.92 [3662]E(f844(f189(f909(x36621)),f844(f171(x36621),x36622)),f844(f844(f3(a908),f844(f189(f909(x36621)),x36622)),f77(a908)))
% 201.98/201.92 [3688]E(f844(f844(f35(a1),f44(a1,x36881,x36882)),x36882),f2(a1))
% 201.98/201.92 [3697]E(f844(a5,f44(a908,f844(a22,x36971),f844(a22,x36972))),f44(a99,x36971,x36972))
% 201.98/201.92 [3731]E(f844(a5,f844(f844(f3(a908),f844(a22,x37311)),f844(a22,x37312))),f844(f844(f3(a99),x37311),x37312))
% 201.98/201.92 [3732]E(f844(a5,f844(f844(f80(a908),f844(a22,x37321)),f844(a22,x37322))),f844(f844(f80(a99),x37321),x37322))
% 201.98/201.92 [3733]E(f844(a5,f844(f844(f79(a908),f844(a22,x37331)),f844(a22,x37332))),f844(f844(f79(a99),x37331),x37332))
% 201.98/201.92 [3734]E(f844(a5,f844(f844(f35(a908),f844(a22,x37341)),f844(a22,x37342))),f844(f844(f35(a99),x37341),x37342))
% 201.98/201.92 [3742]E(f844(f309(a908,a908,a112),f844(f301(a908,x37421),x37422)),f844(f301(a908,f844(a112,x37421)),f844(a112,x37422)))
% 201.98/201.92 [3769]P105(f844(f47(x37691,x37692),f84(f915(a908,a908),f47(x37691,x37692))))
% 201.98/201.92 [3793]E(f844(f844(f79(a908),f844(f844(f79(a908),f28(x37931)),f28(x37932))),f844(a112,f2(a908))),f28(f30(x37931,x37932)))
% 201.98/201.92 [3794]E(f44(a908,f844(a112,f44(a908,x37941,x37942)),x37942),f44(a908,f844(a112,x37941),x37942))
% 201.98/201.92 [3806]E(f844(f844(f39(f916(x38061,a904),f916(x38061,a904)),x38062),f7(f916(x38061,a904))),f36(f916(x38061,a904),x38062))
% 201.98/201.92 [3807]E(f844(f844(f38(f916(x38071,a904),f916(x38071,a904)),x38072),f7(f916(x38071,a904))),f37(f916(x38071,a904),x38072))
% 201.98/201.92 [3808]E(f844(f309(f909(x38081),f916(x38081,a904),f172(x38081)),f844(f172(f909(x38081)),f53(x38081,x38082))),f844(f307(x38081),f844(f172(x38081),x38082)))
% 201.98/201.92 [3812]P105(f844(f844(f328(f916(x38121,a904)),x38122),f844(f307(x38121),x38122)))
% 201.98/201.92 [3818]E(f44(a1,f844(f78(a1),f44(a1,x38181,x38182)),x38182),f44(a1,f844(f78(a1),x38181),x38182))
% 201.98/201.92 [3829]P105(f844(f844(f234(f916(x38291,a904)),x38292),f241(f916(x38291,a904))))
% 201.98/201.92 [3831]E(f844(f844(f288(x38311,x38311,x38311),f306(x38311,x38312)),f306(x38311,f306(x38311,x38312))),f306(x38311,x38312))
% 201.98/201.92 [3832]E(f844(f844(f110(f916(x38321,a904)),f844(f263(x38321,x38321),x38322)),f844(f283(x38321,x38321),x38322)),f844(f280(x38321),x38322))
% 201.98/201.92 [3853]E(f312(x38531,x38532,f241(f916(x38531,a904)),f241(f916(x38532,a904))),f241(f916(f914(x38531,x38532),a904)))
% 201.98/201.92 [3904]P105(f844(f844(f234(a908),f44(a908,x39041,x39042)),x39041))
% 201.98/201.92 [3929]P105(f844(f844(f234(a1),f844(f78(a1),f844(f100(a1),x39291))),f844(f100(a1),x39292)))
% 201.98/201.92 [3954]P105(f844(f844(f328(f916(x39541,a904)),f188(f916(x39541,a904))),f844(f307(x39541),x39542)))
% 201.98/201.92 [3959]E(f306(x39591,f844(f844(f288(x39591,x39591,x39591),x39592),f306(x39591,x39592))),f306(x39591,x39592))
% 201.98/201.92 [3962]E(f844(f844(f288(x39621,x39621,x39621),f306(x39621,x39622)),x39622),f844(f844(f288(x39621,x39621,x39621),x39622),f306(x39621,x39622)))
% 201.98/201.92 [3964]E(f844(a104,f844(f844(f79(a1),f844(f844(f3(a1),x39641),x39642)),f77(a1))),f844(f34(a1),f302(a1,x39642,x39641)))
% 201.98/201.92 [3979]E(f844(f283(x39791,x39791),f844(f844(f288(x39791,x39791,x39791),x39792),f306(x39791,x39792))),f844(f283(x39791,x39791),x39792))
% 201.98/201.92 [3980]E(f844(f263(x39801,x39801),f844(f844(f288(x39801,x39801,x39801),x39802),f306(x39801,x39802))),f844(f263(x39801,x39801),x39802))
% 201.98/201.92 [3996]E(f844(f844(f79(a908),f844(f844(f79(a908),f844(f189(a905),x39961)),f844(f189(a905),x39962))),f844(a112,f2(a908))),f844(f189(a905),f30(x39961,x39962)))
% 201.98/201.92 [3999]E(f844(f142(f909(x39991),f909(x39991),f134(x39991),f113(x39991)),f169(f909(x39991),x39992,f113(x39991))),f113(x39991))
% 201.98/201.92 [4008]P24(a908,a908,f844(f844(f9(a908,a908,a908),f79(a908)),x40081),x40082)
% 201.98/201.92 [4010]P12(a908,f844(f168(a908),f844(f844(f154(f909(x40101),a908),f189(f909(x40101))),f179(x40101,x40102))))
% 201.98/201.92 [4043]P50(x40431,f844(f844(f110(f916(f915(x40431,x40431),a904)),x40432),f844(f285(x40431,x40431),x40432)))
% 201.98/201.92 [4044]P50(x40441,f844(f844(f101(f916(f915(x40441,x40441),a904)),x40442),f844(f285(x40441,x40441),x40442)))
% 201.98/201.92 [4055]P105(f844(f844(f235(a1),f844(f78(a1),f844(f100(a1),f844(a112,x40551)))),f844(f100(a1),x40552)))
% 201.98/201.92 [4100]E(f844(f142(f909(x41001),x41001,f844(f9(x41001,f909(x41001),f909(x41001)),f151(x41001)),f113(x41001)),x41002),f844(f168(x41001),x41002))
% 201.98/201.92 [4148]P105(f844(f844(f234(f916(f915(f909(x41481),f909(x41481)),a904)),f158(x41481,x41482)),f306(f909(x41481),f157(x41481,x41482))))
% 201.98/201.92 [4177]P105(f844(f47(x41771,x41772),f844(f844(f251(a908,a908),f844(f844(f35(a908),x41771),x41772)),f44(a908,x41771,x41772))))
% 201.98/201.92 [4189]P105(f844(f844(f234(f916(f915(f909(x41891),f909(x41891)),a904)),f157(x41891,f306(x41891,x41892))),f306(f909(x41891),f157(x41891,x41892))))
% 201.98/201.92 [4408]E(f844(f844(f258(f915(a99,a99),a99,f915(a99,a99),f915(x44081,f915(a99,a99))),f266(f844(f165(a99),f844(f844(f154(f915(a99,x44081),a99),f250(a99,x44081)),x44082)))),f844(f844(f10(x44081,f916(f915(a99,a99),f915(x44081,f915(a99,a99))),a99),f251(x44081,f915(a99,a99))),f267(x44081,x44082))),f265(x44081,x44082))
% 201.98/201.92 [4485]E(f223(a908,f915(x44851,f910(x44851)),f2(a908),f844(f256(x44851,f910(x44851),a908),f844(f18(f916(f910(x44851),a908),x44851),f844(f844(f9(f910(x44851),a908,a908),f844(f844(f10(a908,f916(a908,a908),f910(x44851)),f79(a908)),f189(f910(x44851)))),f77(a908)))),f844(f135(x44851),x44852)),f844(f189(f910(x44851)),x44852))
% 201.98/201.92 [4591]E(f844(f256(f916(f915(x45911,x45911),a904),f916(f915(x45911,x45911),a904),f916(f916(x45912,x45911),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904)))),f844(f844(f9(f916(f915(x45911,x45911),a904),f916(f916(f915(x45911,x45911),a904),f916(f916(x45912,x45911),f916(f915(x45912,x45912),a904))),f916(f916(f915(x45911,x45911),a904),f916(f916(x45912,x45911),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904))))),f844(f844(f10(f916(f916(f916(x45912,x45911),f916(f915(x45912,x45912),a904)),f916(f916(x45912,x45911),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904)))),f916(f916(f916(f915(x45911,x45911),a904),f916(f916(x45912,x45911),f916(f915(x45912,x45912),a904))),f916(f916(f915(x45911,x45911),a904),f916(f916(x45912,x45911),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904))))),f916(f915(x45911,x45911),a904)),f10(f916(f916(x45912,x45911),f916(f915(x45912,x45912),a904)),f916(f916(x45912,x45911),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904))),f916(f915(x45911,x45911),a904))),f844(f844(f10(f916(f916(x45912,x45911),f916(f916(f915(x45912,x45912),a904),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904)))),f916(f916(f916(x45912,x45911),f916(f915(x45912,x45912),a904)),f916(f916(x45912,x45911),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904)))),f916(f915(x45911,x45911),a904)),f20(f916(x45912,x45911),f916(f915(x45912,x45912),a904),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904)))),f844(f844(f10(f916(f916(x45912,x45911),f916(f915(x45912,x45912),a904)),f916(f916(x45912,x45911),f916(f916(f915(x45912,x45912),a904),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904)))),f916(f915(x45911,x45911),a904)),f844(f10(f916(f915(x45912,x45912),a904),f916(f916(f915(x45912,x45912),a904),f915(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904))),f916(x45912,x45911)),f251(f916(f915(x45912,x45912),a904),f916(f915(x45912,x45912),a904)))),f287(x45911,x45912))))),f287(x45911,x45912))),f73(x45911,x45912))
% 201.98/201.92 [4654]~E(f844(f307(x46541),x46542),f188(f916(f916(x46541,a904),a904)))
% 201.98/201.92 [4665]~P105(f844(f844(f172(x46651),f113(x46651)),x46652))
% 201.98/201.92 [4669]~P105(f844(f844(f328(x46691),x46692),f188(f916(x46691,a904))))
% 201.98/201.92 [4677]~P105(f844(f844(f235(f916(x46771,a904)),x46772),f188(f916(x46771,a904))))
% 201.98/201.92 [3515]E(f844(f844(f3(a908),x35151),f844(f844(f79(a908),x35151),x35152)),f2(a908))
% 201.98/201.92 [3518]E(f844(f844(f110(f916(x35181,a904)),x35182),x35182),x35182)
% 201.98/201.92 [3519]E(f844(f844(f101(f916(x35191,a904)),x35192),x35192),x35192)
% 201.98/201.92 [3547]E(f844(f844(f3(f916(x35471,a904)),x35472),x35472),f188(f916(x35471,a904)))
% 201.98/201.92 [3550]E(f844(f143(x35501,x35502),f2(a908)),f188(f916(f915(f909(x35501),f909(x35501)),a904)))
% 201.98/201.92 [3551]E(f844(f844(f79(a908),x35511),f844(a112,x35512)),f844(a112,f844(f844(f79(a908),x35511),x35512)))
% 201.98/201.92 [3563]E(f194(f844(f100(a1),x35631),f844(f100(a1),x35632)),f844(f100(a1),f844(f844(f3(a908),x35631),x35632)))
% 201.98/201.92 [3566]E(f844(f844(f35(a1),f844(f78(a1),x35661)),x35662),f844(f844(f35(a1),x35661),f844(f78(a1),x35662)))
% 201.98/201.92 [3570]E(f844(f34(a1),f844(f301(a1,x35701),x35702)),f844(a104,f844(f844(f3(a1),x35702),x35701)))
% 201.98/201.92 [3573]E(f844(f844(f79(a908),f844(a112,x35731)),x35732),f844(a112,f844(f844(f79(a908),x35731),x35732)))
% 201.98/201.92 [3576]E(f844(f78(f916(x35761,a904)),f844(f78(f916(x35761,a904)),x35762)),x35762)
% 201.98/201.92 [3589]E(f179(x35891,f844(f844(f151(f909(x35891)),f113(x35891)),x35892)),f179(x35891,x35892))
% 201.98/201.92 [3593]E(f844(f844(f79(a908),x35931),f844(f844(f80(a908),x35931),x35932)),f844(f844(f80(a908),x35931),f844(a112,x35932)))
% 201.98/201.92 [3600]E(f844(f844(a4,f844(a5,x36001)),f844(a5,x36002)),f844(a5,f844(f844(f3(a908),x36001),x36002)))
% 201.98/201.92 [3615]E(f844(f844(f80(a1),f844(f78(a1),x36151)),x36152),f844(f78(a1),f844(f844(f80(a1),x36151),x36152)))
% 201.98/201.92 [3617]E(f844(f844(f243(a1),f844(f100(a1),x36171)),x36172),f844(f100(a1),f844(f844(f243(a908),x36171),x36172)))
% 201.98/201.92 [3618]E(f844(f844(f80(a99),f844(a5,x36181)),f844(a5,x36182)),f844(a5,f844(f844(f80(a908),x36181),x36182)))
% 201.98/201.92 [3619]E(f844(f844(f79(a99),f844(a5,x36191)),f844(a5,x36192)),f844(a5,f844(f844(f79(a908),x36191),x36192)))
% 201.98/201.92 [3620]E(f844(f844(f232(a908),f844(a112,x36201)),f844(a112,x36202)),f844(a112,f844(f844(f232(a908),x36201),x36202)))
% 201.98/201.92 [3621]E(f844(f844(f233(a908),f844(a112,x36211)),f844(a112,x36212)),f844(a112,f844(f844(f233(a908),x36211),x36212)))
% 201.98/201.92 [3626]E(f844(f172(a908),f139(a908,f844(f301(a908,x36261),x36262))),f844(f301(a908,x36261),x36262))
% 201.98/201.92 [3627]E(f311(x36271,f844(f844(f308(x36271),x36272),f188(f916(x36271,a904)))),x36272)
% 201.98/201.92 [3631]E(f844(f283(x36311,x36312),f188(f916(f915(x36311,x36312),a904))),f188(f916(x36312,a904)))
% 201.98/201.92 [3632]E(f844(f263(x36321,x36322),f188(f916(f915(x36321,x36322),a904))),f188(f916(x36321,a904)))
% 201.98/201.92 [3636]E(f844(a104,f844(f844(f3(a1),x36361),x36362)),f844(f34(a1),f304(a1,x36362,x36361)))
% 201.98/201.92 [3641]E(f844(f844(f79(a908),x36411),f844(f844(f80(a908),x36412),x36411)),f844(f844(f80(a908),f844(a112,x36412)),x36411))
% 201.98/201.92 [3643]E(f844(f844(f59(x36431),f188(f916(x36431,a904))),x36432),f188(f916(f916(x36431,a904),a904)))
% 201.98/201.92 [3652]E(f844(f189(f909(a908)),f139(a908,f844(f301(a908,x36521),x36522))),f844(f844(f3(a908),x36522),x36521))
% 201.98/201.92 [3667]E(f844(f844(f110(f916(x36671,a904)),f188(f916(x36671,a904))),x36672),x36672)
% 201.98/201.92 [3668]E(f844(f844(f101(f916(x36681,a904)),f241(f916(x36681,a904))),x36682),x36682)
% 201.98/201.92 [3671]E(f844(f844(f79(a1),f844(f78(a1),x36711)),f844(f78(a1),x36712)),f844(f78(a1),f844(f844(f79(a1),x36711),x36712)))
% 201.98/201.92 [3673]E(f844(f844(f80(a1),f844(f103(a1),x36731)),f844(f103(a1),x36732)),f844(f103(a1),f844(f844(f80(a1),x36731),x36732)))
% 201.98/201.92 [3675]E(f844(f844(f80(a1),f844(f100(a1),x36751)),f844(f100(a1),x36752)),f844(f100(a1),f844(f844(f80(a908),x36751),x36752)))
% 201.98/201.92 [3676]E(f844(f844(f79(a1),f844(f103(a1),x36761)),f844(f103(a1),x36762)),f844(f103(a1),f844(f844(f79(a1),x36761),x36762)))
% 201.98/201.92 [3678]E(f844(f844(f79(a1),f844(f100(a1),x36781)),f844(f100(a1),x36782)),f844(f100(a1),f844(f844(f79(a908),x36781),x36782)))
% 201.98/201.92 [3679]E(f844(f844(f35(a1),f844(f100(a1),x36791)),f844(f100(a1),x36792)),f844(f100(a1),f844(f844(f35(a908),x36791),x36792)))
% 201.98/201.92 [3698]E(f844(f844(f8(x36981,a908),f844(f18(a908,x36981),f77(a908))),x36982),f844(f34(x36981),x36982))
% 201.98/201.92 [3704]E(f844(f78(a1),f44(a1,f844(f78(a1),x37041),x37042)),f44(a1,x37041,f844(f78(a1),x37042)))
% 201.98/201.92 [3706]E(f844(f172(a1),f178(x37061,f844(f844(f3(a1),x37062),f77(a1)))),f844(f301(a1,x37061),x37062))
% 201.98/201.92 [3711]P105(f844(f844(f234(a908),x37111),f844(f844(f79(a908),x37112),x37111)))
% 201.98/201.92 [3712]P105(f844(f844(f234(a908),x37121),f844(f844(f79(a908),x37121),x37122)))
% 201.98/201.92 [3714]E(f844(f844(f110(f916(x37141,a904)),f241(f916(x37141,a904))),x37142),f241(f916(x37141,a904)))
% 201.98/201.92 [3715]E(f844(f844(f3(f916(x37151,a904)),f188(f916(x37151,a904))),x37152),f188(f916(x37151,a904)))
% 201.98/201.92 [3716]E(f844(f844(f101(f916(x37161,a904)),f188(f916(x37161,a904))),x37162),f188(f916(x37161,a904)))
% 201.98/201.92 [3723]E(f844(f844(f251(a1,a1),x37231),f844(f78(a1),x37232)),f844(a50,f844(f844(f251(a1,a1),x37231),x37232)))
% 201.98/201.92 [3724]E(f844(f301(a1,f844(f844(f79(a1),x37241),f77(a1))),x37242),f305(a1,x37241,x37242))
% 201.98/201.92 [3735]E(f844(f844(f80(a908),x37351),f844(f844(f35(a908),x37352),x37351)),f844(f844(f3(a908),x37352),f44(a908,x37352,x37351)))
% 201.98/201.92 [3736]E(f844(f844(f80(a1),x37361),f844(f844(f35(a1),x37362),x37361)),f844(f844(f3(a1),x37362),f44(a1,x37362,x37361)))
% 201.98/201.92 [3739]E(f844(f172(a1),f178(f844(f844(f79(a1),x37391),f77(a1)),x37392)),f304(a1,x37391,x37392))
% 201.98/201.92 [3743]P105(f844(f844(f234(f916(x37431,a904)),x37432),x37432))
% 201.98/201.92 [3746]E(f844(f844(f110(f916(x37461,a904)),x37462),f844(f78(f916(x37461,a904)),x37462)),f241(f916(x37461,a904)))
% 201.98/201.92 [3747]E(f844(f844(f101(f916(x37471,a904)),x37472),f844(f78(f916(x37471,a904)),x37472)),f188(f916(x37471,a904)))
% 201.98/201.92 [3755]E(f844(f844(f3(a908),f844(f844(f3(a908),x37551),f77(a908))),x37552),f844(f844(f3(a908),x37551),f844(a112,x37552)))
% 201.98/201.92 [3761]E(f844(f844(f3(f916(x37611,a904)),f241(f916(x37611,a904))),x37612),f844(f78(f916(x37611,a904)),x37612))
% 201.98/201.92 [3762]E(f844(f844(f3(a1),f844(f103(a1),x37621)),f844(f103(a1),x37622)),f844(f103(a1),f844(f844(f79(a1),x37621),f844(f78(a1),x37622))))
% 201.98/201.92 [3775]E(f844(f172(a908),f139(a908,f844(f301(a908,x37751),f844(a112,x37752)))),f302(a908,x37751,x37752))
% 201.98/201.92 [3791]E(f844(f189(f909(f909(x37911))),f53(x37911,x37912)),f844(f844(f243(a908),f844(a112,f844(a112,f2(a908)))),f844(f189(f909(x37911)),x37912)))
% 201.98/201.92 [3810]E(f844(f844(f183(f915(x38101,x38101),a904),f2(a908)),x38102),f306(x38101,f188(f916(f915(x38101,x38101),a904))))
% 201.98/201.92 [3814]P105(f844(f137(a908),f139(a908,f844(f301(a908,x38141),x38142))))
% 201.98/201.92 [3830]E(f844(f309(a1,a908,a104),f302(a1,f844(f100(a1),x38301),f844(f100(a1),x38302))),f302(a908,x38301,x38302))
% 201.98/201.92 [3839]E(f185(a908,f2(a908),f7(a908),f844(f844(f3(a908),x38391),x38392)),f844(f844(f3(a908),x38391),f844(a112,x38392)))
% 201.98/201.92 [3840]E(f844(a104,f844(f844(f3(a1),x38401),f844(f844(f79(a1),x38402),f77(a1)))),f844(f34(a1),f305(a1,x38402,x38401)))
% 201.98/201.92 [3876]E(f844(f844(f154(a908,a908),a112),f139(a908,f844(f301(a908,x38761),x38762))),f139(a908,f844(f301(a908,f844(a112,x38761)),f844(a112,x38762))))
% 201.98/201.92 [3884]E(f844(f172(a1),f178(f844(f844(f79(a1),x38841),f77(a1)),f844(f844(f3(a1),x38842),f77(a1)))),f305(a1,x38841,x38842))
% 201.98/201.92 [3896]P105(f844(f844(f234(f916(x38961,a904)),f188(f916(x38961,a904))),x38962))
% 201.98/201.92 [3900]E(f84(x39001,f844(f844(f9(x39001,x39001,a904),a324),x39002)),x39002)
% 201.98/201.92 [3901]E(f89(x39011,f844(f844(f9(x39011,x39011,a904),a324),x39012)),x39012)
% 201.98/201.92 [3905]E(f844(f172(a908),f139(a908,f844(f301(a908,f844(a112,x39051)),f844(a112,x39052)))),f304(a908,x39051,x39052))
% 201.98/201.92 [3932]E(f844(f844(f253(x39321,x39322),f241(f916(x39321,a904))),f844(f18(f916(x39322,a904),x39321),f241(f916(x39322,a904)))),f241(f916(f915(x39321,x39322),a904)))
% 201.98/201.92 [3966]E(f844(f261(x39661),f844(f844(f10(a904,a904,x39661),a321),x39662)),f844(f78(f916(x39661,a904)),f844(f261(x39661),x39662)))
% 201.98/201.92 [3969]E(f844(f261(x39691),f844(f844(f9(x39691,x39691,a904),a324),x39692)),f844(f844(f308(x39691),x39692),f188(f916(x39691,a904))))
% 201.98/201.92 [3976]E(f844(f844(f79(a1),f844(f844(f3(a1),x39761),x39762)),f844(f844(f3(a1),x39761),x39762)),f844(f844(f3(a1),f844(f844(f79(a1),x39761),x39761)),f844(f844(f79(a1),x39762),x39762)))
% 201.98/201.92 [3977]E(f844(f844(f79(a1),f844(f844(f79(a1),x39771),x39771)),f844(f844(f79(a1),x39772),x39772)),f844(f844(f79(a1),f844(f844(f79(a1),x39771),x39772)),f844(f844(f79(a1),x39771),x39772)))
% 201.98/201.92 [3993]P105(f844(f844(f234(a908),f844(f34(x39931),f844(f172(x39931),x39932))),f844(f189(f909(x39931)),x39932)))
% 201.98/201.92 [3994]P105(f844(f844(f234(a908),f844(f189(f909(x39941)),f152(x39941,x39942))),f844(f189(f909(x39941)),x39942)))
% 201.98/201.92 [4005]E(f844(f261(x40051),f844(f844(f9(x40051,f916(x40051,a904),a904),f328(x40051)),x40052)),x40052)
% 201.98/201.92 [4019]E(f844(f844(f175(x40191),f844(f844(f3(a908),f844(f189(f909(x40191)),x40192)),f77(a908))),x40192),f114(x40191,x40192))
% 201.98/201.92 [4042]E(f185(a908,f2(a908),f844(f844(f10(a908,a908,a908),a112),f844(f232(a908),x40421)),x40422),f844(f844(f232(a908),f844(a112,x40421)),x40422))
% 201.98/201.92 [4047]E(f36(f916(x40471,a904),f844(f309(f916(f915(x40471,x40471),a904),f916(x40471,a904),f280(x40471)),x40472)),f844(f280(x40471),f36(f916(f915(x40471,x40471),a904),x40472)))
% 201.98/201.92 [4048]E(f185(a908,f844(a112,x40481),f844(f844(f10(a908,a908,a908),a112),f844(f233(a908),x40481)),x40482),f844(f844(f233(a908),f844(a112,x40481)),x40482))
% 201.98/201.92 [4050]E(f844(f844(f251(a1,a1),f844(f844(f35(a1),f844(f75(a1),x40501)),f844(f75(a1),x40502))),f44(a1,f844(f75(a1),x40501),f844(f75(a1),x40502))),f52(x40501,x40502))
% 201.98/201.92 [4073]P105(f844(f844(f234(f916(f916(x40731,a904),a904)),x40732),f844(f307(x40731),f36(f916(x40731,a904),x40732))))
% 201.98/201.92 [4105]E(f844(f844(f39(x41051,f916(x41051,a904)),x41052),f844(f844(f9(x41051,f916(x41051,a904),f916(x41051,a904)),f308(x41051)),f188(f916(x41051,a904)))),x41052)
% 201.98/201.92 [4106]E(f844(f844(f288(x41061,x41061,x41061),f844(f285(x41061,x41061),x41062)),f306(x41061,f844(f285(x41061,x41061),x41062))),f844(f285(x41061,x41061),f844(f844(f288(x41061,x41061,x41061),x41062),f306(x41061,x41062))))
% 201.98/201.92 [4169]E(f844(f172(x41691),f844(f142(f909(x41691),f909(x41691),f134(x41691),f113(x41691)),x41692)),f844(f844(f39(f909(x41691),f916(x41691,a904)),f844(f172(f909(x41691)),x41692)),f172(x41691)))
% 201.98/201.92 [4200]E(f844(f844(f110(f916(f915(x42001,x42001),a904)),f306(x42001,f188(f916(f915(x42001,x42001),a904)))),f844(f844(f288(x42001,x42001,x42001),f306(x42001,x42002)),x42002)),f306(x42001,x42002))
% 201.98/201.92 [4236]E(f844(f844(f181(x42361,x42361),x42362),x42362),f844(f844(f154(x42361,f915(x42361,x42361)),f844(f844(f20(x42361,x42361,f915(x42361,x42361)),f251(x42361,x42361)),f7(x42361))),x42362))
% 201.98/201.92 [4350]E(f844(f142(a908,f909(x43501),f844(f9(f909(x43501),a908,a908),f844(f844(f10(a908,f916(a908,a908),f909(x43501)),f233(a908)),f189(f909(x43501)))),f2(a908)),f844(f168(f909(x43501)),x43502)),f844(f189(f909(f909(x43501))),f179(x43501,x43502)))
% 201.98/201.92 [4422]E(f844(f844(f287(f915(a908,f909(x44221)),f909(x44221)),f318(a908,f909(x44221),a239,f145(x44221,x44222))),f844(f844(f20(f909(x44221),f909(x44221),f915(a908,f909(x44221))),f844(f844(f10(a908,f916(f909(x44221),f915(a908,f909(x44221))),f909(x44221)),f251(a908,f909(x44221))),f189(f909(x44221)))),f7(f909(x44221)))),f146(x44221,x44222))
% 201.98/201.92 [4549]E(f844(f261(x45491),f844(f844(f10(f916(f916(x45491,a904),a904),a904,x45491),f86(f916(x45491,a904))),f844(f844(f10(f916(f916(x45491,a904),a904),f916(f916(x45491,a904),a904),x45491),f844(f20(f916(x45491,a904),a904,a904),f844(f844(f10(a904,f916(a904,a904),f916(x45491,a904)),a325),f844(f844(f9(f916(x45491,a904),f916(f916(x45491,a904),a904),a904),f328(f916(x45491,a904))),x45492)))),f328(x45491)))),f36(f916(x45491,a904),x45492))
% 201.98/201.92 [4550]E(f844(f261(x45501),f844(f844(f10(f916(f916(x45501,a904),a904),a904,x45501),f87(f916(x45501,a904))),f844(f844(f10(f916(f916(x45501,a904),a904),f916(f916(x45501,a904),a904),x45501),f844(f20(f916(x45501,a904),a904,a904),f844(f844(f10(a904,f916(a904,a904),f916(x45501,a904)),a329),f844(f844(f9(f916(x45501,a904),f916(f916(x45501,a904),a904),a904),f328(f916(x45501,a904))),x45502)))),f328(x45501)))),f37(f916(x45501,a904),x45502))
% 201.98/201.92 [4678]~P105(f844(f844(f235(a1),f844(f100(a1),x46781)),f844(f78(a1),f844(f100(a1),x46782))))
% 201.98/201.92 [3639]E(f844(f844(f3(a908),f844(f844(f79(a908),x36391),x36392)),x36392),x36391)
% 201.98/201.92 [3640]E(f844(f844(f3(a908),f844(f844(f79(a908),x36401),x36402)),x36401),x36402)
% 201.98/201.92 [3705]E(f844(f844(f79(a908),f844(f844(f3(a908),x37051),x37052)),x37052),f844(f844(f233(a908),x37051),x37052))
% 201.98/201.92 [3817]E(f844(f844(f80(a908),f844(f844(f35(a908),x38171),x38172)),x38172),f844(f844(f3(a908),x38171),f44(a908,x38171,x38172)))
% 201.98/201.92 [3844]E(f844(f172(a908),f139(a908,f844(f301(a908,f844(a112,x38441)),x38442))),f305(a908,x38441,x38442))
% 201.98/201.92 [3852]E(f844(f100(a1),f216(f844(a104,f844(f75(a1),x38521)),f844(a104,f844(f75(a1),x38522)))),f844(f844(a217,x38521),x38522))
% 201.98/201.92 [3854]E(f844(f844(f110(f916(x38541,a904)),f844(f78(f916(x38541,a904)),x38542)),x38542),f241(f916(x38541,a904)))
% 201.98/201.92 [3855]E(f844(f844(f101(f916(x38551,a904)),f844(f78(f916(x38551,a904)),x38552)),x38552),f188(f916(x38551,a904)))
% 201.98/201.92 [3872]P105(f844(f844(f234(a908),f844(f844(f3(a908),x38721),x38722)),x38721))
% 201.98/201.92 [3873]P105(f844(f844(f234(a908),f844(f844(f35(a908),x38731),x38732)),x38731))
% 201.98/201.92 [3897]P105(f844(f844(f235(a908),x38971),f844(a112,f844(f844(f79(a908),x38972),x38971))))
% 201.98/201.92 [3898]P105(f844(f844(f235(a908),x38981),f844(a112,f844(f844(f79(a908),x38981),x38982))))
% 201.98/201.92 [3916]E(f844(f844(f80(a908),f844(a104,f844(f75(a1),x39161))),f844(a104,f844(f75(a1),x39162))),f844(a104,f844(f75(a1),f844(f844(f80(a1),x39161),x39162))))
% 201.98/201.92 [3928]P105(f844(f844(f234(a1),f2(a1)),f844(f844(f243(a1),f844(f75(a1),x39281)),x39282)))
% 201.98/201.92 [3998]E(f844(f284(f909(x39981),f909(x39981),f158(x39981,x39982)),f844(f844(f308(f909(x39981)),f113(x39981)),f188(f916(f909(x39981),a904)))),f844(f844(f308(f909(x39981)),f113(x39981)),f188(f916(f909(x39981),a904))))
% 201.98/201.92 [4017]E(f844(f844(f110(f916(f915(x40171,x40171),a904)),f306(x40171,x40172)),f306(x40171,f188(f916(f915(x40171,x40171),a904)))),f306(x40171,x40172))
% 201.98/201.92 [4030]E(f844(f844(f35(a1),f844(f103(a1),f844(f844(f79(a1),x40301),x40301))),f844(f103(a1),f844(f844(f79(a1),x40302),x40302))),f844(f844(f35(a1),f844(f103(a1),x40301)),f844(f103(a1),x40302)))
% 201.98/201.92 [4095]E(f844(f844(f243(a1),x40951),f844(f103(a908),f844(f844(f79(a1),x40952),x40952))),f844(f844(f85(a1,a1),f844(f844(f243(a1),x40951),f844(f103(a908),x40952))),f844(f844(f20(a1,a1,a1),f80(a1)),f7(a1))))
% 201.98/201.92 [4101]E(f844(f261(f916(x41011,a904)),f844(f844(f9(f916(x41011,a904),f916(x41011,a904),a904),f234(f916(x41011,a904))),x41012)),f844(f307(x41011),x41012))
% 201.98/201.92 [4117]E(f844(f844(f154(a1,a908),a104),f844(f844(f134(a1),f844(f844(f154(a908,a1),f100(a1)),x41171)),f844(f844(f154(a908,a1),f100(a1)),x41172))),f844(f844(f134(a908),x41171),x41172))
% 201.98/201.92 [4147]E(f844(f309(a1,a1,f844(f844(f9(a1,a1,a1),f79(a1)),x41471)),f844(f301(a1,f2(a1)),f844(f844(f3(a1),x41472),x41471))),f844(f301(a1,x41471),x41472))
% 201.98/201.92 [4149]P52(x41491,f844(f844(f3(f916(f915(x41491,x41491),a904)),x41492),f306(x41491,f188(f916(f915(x41491,x41491),a904)))))
% 201.98/201.92 [4167]E(f844(f189(f909(x41671)),f844(f142(f909(x41671),f909(x41671),f134(x41671),f113(x41671)),x41672)),f844(f165(a908),f844(f844(f154(f909(x41671),a908),f189(f909(x41671))),x41672)))
% 201.98/201.92 [4171]P51(x41711,f241(f916(x41711,a904)),f844(f844(f110(f916(f915(x41711,x41711),a904)),x41712),f306(x41711,f188(f916(f915(x41711,x41711),a904)))))
% 201.98/201.92 [4216]E(f185(a908,f2(a908),f844(f844(f10(a908,a908,a908),a112),f844(f844(f9(a908,a908,a908),f232(a908)),x42161)),x42162),f844(f844(f232(a908),x42162),f844(a112,x42161)))
% 201.98/201.92 [4219]E(f185(a908,f844(a112,x42191),f844(f844(f10(a908,a908,a908),a112),f844(f844(f9(a908,a908,a908),f233(a908)),x42191)),x42192),f844(f844(f233(a908),x42192),f844(a112,x42191)))
% 201.98/201.92 [4222]E(f844(f309(x42221,f909(x42221),f844(f844(f9(x42221,f909(x42221),f909(x42221)),f151(x42221)),f113(x42221))),x42222),f174(x42221,x42222,f844(f844(f308(f909(x42221)),f113(x42221)),f188(f916(f909(x42221),a904)))))
% 201.98/201.92 [4224]E(f844(f844(f110(f916(f915(x42241,x42241),a904)),f844(f844(f288(x42241,x42241,x42241),x42242),f306(x42241,x42242))),f306(x42241,f188(f916(f915(x42241,x42241),a904)))),f306(x42241,x42242))
% 201.98/201.92 [4231]P105(f844(f844(f234(f916(f915(x42311,x42311),a904)),f262(x42311,x42312)),f844(f844(f253(x42311,x42311),x42312),f844(f18(f916(x42311,a904),x42311),x42312))))
% 201.98/201.92 [4234]E(f844(f309(a1,a908,a104),f844(f844(f110(f916(a1,a904)),f844(f309(a908,a1,f100(a1)),x42341)),f844(f309(a908,a1,f100(a1)),x42342))),f844(f844(f110(f916(a908,a904)),x42341),x42342))
% 201.98/201.92 [4235]E(f844(f309(a1,a908,a104),f844(f844(f101(f916(a1,a904)),f844(f309(a908,a1,f100(a1)),x42351)),f844(f309(a908,a1,f100(a1)),x42352))),f844(f844(f101(f916(a908,a904)),x42351),x42352))
% 201.98/201.92 [4238]E(f844(f261(x42381),f844(f844(f10(a904,a904,x42381),a321),f844(f844(f9(x42381,f916(x42381,a904),a904),f328(x42381)),x42382))),f844(f78(f916(x42381,a904)),x42382))
% 201.98/201.92 [4265]E(f844(f142(f909(x42651),f909(x42651),f134(x42651),f113(x42651)),f844(f844(f154(f909(x42651),f909(x42651)),f168(x42651)),f844(f168(f909(x42651)),x42652))),f844(f168(x42651),f844(f142(f909(x42651),f909(x42651),f134(x42651),f113(x42651)),x42652)))
% 201.98/201.92 [4294]E(f844(f844(f39(a908,f916(f915(x42941,x42941),a904)),f241(f916(a908,a904))),f844(f844(f9(a908,f916(f915(x42941,x42941),a904),f916(f915(x42941,x42941),a904)),f183(f915(x42941,x42941),a904)),x42942)),f306(x42941,x42942))
% 201.98/201.92 [4312]E(f84(x43121,f844(f844(f10(f916(x43121,a904),a904,x43121),f844(a324,x43122)),f844(f844(f9(x43121,f916(x43121,a904),f916(x43121,a904)),f308(x43121)),f188(f916(x43121,a904))))),f311(x43121,x43122))
% 201.98/201.92 [4320]E(f844(f189(f909(x43201)),f152(x43201,f844(f142(f909(x43201),f909(x43201),f134(x43201),f113(x43201)),x43202))),f844(f34(x43201),f844(f844(f39(f909(x43201),f916(x43201,a904)),f844(f172(f909(x43201)),x43202)),f172(x43201))))
% 201.98/201.92 [4334]E(f844(f844(f110(f916(f915(x43341,x43341),a904)),x43342),f844(f844(f288(x43341,x43341,x43341),f844(f844(f288(x43341,x43341,x43341),x43342),f306(x43341,x43342))),x43342)),f844(f844(f288(x43341,x43341,x43341),x43342),f306(x43341,x43342)))
% 201.98/201.92 [4358]P105(f844(f844(f234(f916(f915(x43581,x43581),a904)),f844(f844(f288(x43581,x43581,x43581),x43582),f306(x43581,x43582))),f844(f844(f253(x43581,x43581),f844(f280(x43581),x43582)),f844(f18(f916(x43581,a904),x43581),f844(f280(x43581),x43582)))))
% 201.98/201.92 [4399]E(f844(f261(f909(x43991)),f844(f844(f9(f909(x43991),f916(x43991,a904),a904),f844(f844(f10(f916(x43991,a904),f916(f916(x43991,a904),a904),f909(x43991)),f234(f916(x43991,a904))),f172(x43991))),x43992)),f161(x43991,x43992))
% 201.98/201.92 [4410]E(f844(f156(f909(x44101),x44101,f113(x44101),f844(f844(f10(f909(x44101),f916(f909(x44101),f909(x44101)),x44101),f844(f9(f909(x44101),f909(x44101),f909(x44101)),f134(x44101))),f844(f844(f9(x44101,f909(x44101),f909(x44101)),f151(x44101)),f113(x44101)))),x44102),f844(f167(x44101),x44102))
% 201.98/201.92 [4450]P24(f916(x44501,x44502),f916(f915(x44501,x44502),a904),f844(f844(f10(f916(f915(x44501,x44502),a904),f916(f915(x44501,x44502),a904),f916(x44501,x44502)),f261(f915(x44501,x44502))),f844(f844(f10(f916(x44501,f916(x44502,a904)),f916(f915(x44501,x44502),a904),f916(x44501,x44502)),f256(x44501,x44502,a904)),f844(f10(x44502,f916(x44502,a904),x44501),f844(f9(x44502,x44502,a904),a324)))),f241(f916(f916(x44501,x44502),a904)))
% 201.98/201.92 [4455]E(f44(a1,f844(f103(a1),f844(f844(f79(a1),x44551),x44551)),f844(f103(a1),f844(f844(f79(a1),x44552),x44552))),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f44(a1,f844(f103(a1),x44551),f844(f103(a1),x44552))))
% 201.98/201.92 [4499]E(f844(f844(f39(x44991,f916(f915(x44991,x44991),a904)),x44992),f844(f844(f9(x44991,f916(f915(x44991,x44991),a904),f916(f915(x44991,x44991),a904)),f844(f844(f10(f915(x44991,x44991),f916(f916(f915(x44991,x44991),a904),f916(f915(x44991,x44991),a904)),x44991),f308(f915(x44991,x44991))),f844(f844(f20(x44991,x44991,f915(x44991,x44991)),f251(x44991,x44991)),f7(x44991)))),f188(f916(f915(x44991,x44991),a904)))),f262(x44991,x44992))
% 201.98/201.92 [4507]E(f202(x45071,f844(f844(f251(a1,a1),f844(f78(a1),f844(f844(f72(f915(a1,a1),a1,x45071,f250(a1,a1)),f212(x45071)),x45072))),f844(f844(f72(f915(a1,a1),a1,x45071,f255(a1,a1)),f212(x45071)),x45072))),f227(x45071,x45072))
% 201.98/201.92 [4588]E(f844(f261(f916(x45881,a904)),f844(f844(f10(f916(f916(x45881,a904),a904),a904,f916(x45881,a904)),f86(f916(x45881,a904))),f844(f844(f9(f916(x45881,a904),f916(f916(x45881,a904),a904),f916(f916(x45881,a904),a904)),f844(f844(f10(f916(f916(x45881,a904),f916(a904,a904)),f916(f916(f916(x45881,a904),a904),f916(f916(x45881,a904),a904)),f916(x45881,a904)),f20(f916(x45881,a904),a904,a904)),f844(f844(f10(f916(f916(x45881,a904),a904),f916(f916(x45881,a904),f916(a904,a904)),f916(x45881,a904)),f844(f10(a904,f916(a904,a904),f916(x45881,a904)),a325)),f844(f844(f9(f916(x45881,a904),f916(f916(x45881,a904),f916(x45881,a904)),f916(f916(x45881,a904),a904)),f844(f844(f10(f916(f916(x45881,a904),a904),f916(f916(f916(x45881,a904),f916(x45881,a904)),f916(f916(x45881,a904),a904)),f916(x45881,a904)),f10(f916(x45881,a904),a904,f916(x45881,a904))),a324)),f78(f916(x45881,a904)))))),f844(f844(f10(f916(f916(x45881,a904),a904),a904,f916(x45881,a904)),f844(f328(f916(x45881,a904)),x45882)),f307(x45881))))),f844(f307(x45881),f844(f78(f916(x45881,a904)),x45882)))
% 201.98/201.92 [4676]~E(f844(f844(f79(a1),x46761),x46761),f844(f844(f3(a1),f844(f844(f79(a1),x46762),x46762)),a97))
% 201.98/201.92 [4680]~P105(f844(f844(f235(a908),f844(f844(f79(a908),x46801),x46802)),x46802))
% 201.98/201.92 [4681]~P105(f844(f844(f235(a908),f844(f844(f79(a908),x46811),x46812)),x46811))
% 201.98/201.92 [3933]E(f844(f844(f3(a908),x39331),f844(f844(f80(a908),f844(f844(f35(a908),x39331),x39332)),x39332)),f44(a908,x39331,x39332))
% 201.98/201.92 [3934]E(f844(f844(f3(a1),x39341),f844(f844(f80(a1),f844(f844(f35(a1),x39341),x39342)),x39342)),f44(a1,x39341,x39342))
% 201.98/201.92 [3967]E(f844(f844(f154(a908,x39671),f844(f164(x39671),x39672)),f139(a908,f844(f301(a908,f2(a908)),f844(f189(f909(x39671)),x39672)))),x39672)
% 201.98/201.92 [4026]E(f844(f284(x40261,x40261,f306(x40261,f188(f916(f915(x40261,x40261),a904)))),x40262),x40262)
% 201.98/201.92 [4152]E(f306(x41521,f844(f844(f110(f916(f915(x41521,x41521),a904)),x41522),f306(x41521,f188(f916(f915(x41521,x41521),a904))))),f306(x41521,x41522))
% 201.98/201.92 [4153]E(f306(x41531,f844(f844(f3(f916(f915(x41531,x41531),a904)),x41532),f306(x41531,f188(f916(f915(x41531,x41531),a904))))),f306(x41531,x41532))
% 201.98/201.92 [4203]E(f844(f844(f3(a1),f844(f844(f3(a1),f844(f844(f79(a1),x42031),x42031)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),x42032),x42032)),a97)),f844(f844(f79(a1),f844(f844(f3(a1),x42031),x42032)),f844(f844(f3(a1),x42031),x42032)))
% 201.98/201.92 [4243]E(f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f79(a1),x42431),x42432)),f844(f844(f79(a1),x42431),x42432))),a97),f844(f844(f79(a1),f844(f844(f79(a1),x42431),x42431)),f844(f844(f3(a1),f844(f844(f79(a1),x42432),x42432)),a97)))
% 201.98/201.92 [4268]E(f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),x42681),x42681)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),x42682),x42682)),a97)),f844(f844(f79(a1),f844(f844(f79(a1),x42681),f844(f844(f3(a1),x42682),a97))),f844(f844(f79(a1),x42681),f844(f844(f3(a1),x42682),a97))))
% 201.98/201.92 [4282]E(f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),x42821),x42822)),f844(f844(f3(a1),x42821),x42822))),a97),f844(f844(f3(a1),f844(f844(f3(a1),f844(f844(f79(a1),x42821),x42821)),a97)),f844(f844(f79(a1),x42822),x42822)))
% 201.98/201.92 [4283]E(f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f79(a1),x42831),x42832)),f844(f844(f79(a1),x42831),x42832))),a97),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),x42831),x42831)),a97)),f844(f844(f79(a1),x42832),x42832)))
% 201.98/201.92 [4331]E(f844(f100(a1),f844(f844(f35(a908),f844(f844(f80(a908),f844(a104,f844(f75(a1),x43311))),f844(a104,f844(f75(a1),x43312)))),f216(f844(a104,f844(f75(a1),x43311)),f844(a104,f844(f75(a1),x43312))))),f218(x43311,x43312))
% 201.98/201.92 [4376]E(f844(f844(f258(f915(a99,a99),a99,f915(a99,a99),f915(x43761,f915(a99,a99))),f266(f844(a5,f844(f189(f909(x43761)),x43762)))),f844(f844(f10(x43761,f916(f915(a99,a99),f915(x43761,f915(a99,a99))),a99),f251(x43761,f915(a99,a99))),f844(f844(f10(a908,x43761,a99),f844(f164(x43761),x43762)),a22))),f274(x43761,x43762))
% 201.98/201.92 [4456]E(f844(f142(a908,f909(x44561),f844(f9(f909(x44561),a908,a908),f844(f844(f10(a908,f916(a908,a908),f909(x44561)),f233(a908)),f189(f909(x44561)))),f2(a908)),f844(f168(f909(x44561)),f179(x44561,x44562))),f844(f189(f909(f909(x44561))),f844(f136(f909(x44561),f844(f844(f10(a904,a904,f909(x44561)),a321),f844(f844(f9(f909(x44561),f909(x44561),a904),a324),f113(x44561)))),x44562)))
% 201.98/201.92 [4462]E(f844(f844(f39(a908,f916(x44621,a904)),f241(f916(a908,a904))),f844(f844(f9(a908,f916(a908,f916(x44621,a904)),f916(x44621,a904)),f844(f844(f10(f916(a908,a904),f916(f916(a908,f916(x44621,a904)),f916(x44621,a904)),a908),f39(a908,f916(x44621,a904))),f301(a908,f2(a908)))),x44622)),f844(f844(f39(a908,f916(x44621,a904)),f241(f916(a908,a904))),x44622))
% 201.98/201.92 [4484]P105(f844(f60(a908),f844(f261(a908),f844(f844(f20(a908,a904,a904),f844(f844(f10(a904,f916(a904,a904),a908),a325),x44841)),f844(f844(f9(a908,a908,a904),f235(a908)),x44842)))))
% 201.98/201.92 [4596]E(f844(f261(f915(f909(x45961),f909(x45961))),f844(f256(f909(x45961),f909(x45961),a904),f844(f844(f20(f909(x45961),f916(f909(x45961),a904),f916(f909(x45961),a904)),f844(f844(f10(f916(f909(x45961),f916(a904,a904)),f916(f916(f909(x45961),a904),f916(f909(x45961),a904)),f909(x45961)),f20(f909(x45961),a904,a904)),f844(f844(f10(f916(f909(x45961),a904),f916(f909(x45961),f916(a904,a904)),f909(x45961)),f844(f10(a904,f916(a904,a904),f909(x45961)),a326)),f844(f844(f9(f909(x45961),f916(f909(x45961),a908),f916(f909(x45961),a904)),f844(f844(f10(f916(a908,a904),f916(f916(f909(x45961),a908),f916(f909(x45961),a904)),f909(x45961)),f10(a908,a904,f909(x45961))),f844(f844(f10(a908,f916(a908,a904),f909(x45961)),f235(a908)),f189(f909(x45961))))),f189(f909(x45961)))))),f844(f844(f20(f909(x45961),f916(f909(x45961),a904),f916(f909(x45961),a904)),f844(f844(f10(f916(f909(x45961),f916(a904,a904)),f916(f916(f909(x45961),a904),f916(f909(x45961),a904)),f909(x45961)),f20(f909(x45961),a904,a904)),f844(f844(f10(f916(f909(x45961),a904),f916(f909(x45961),f916(a904,a904)),f909(x45961)),f844(f10(a904,f916(a904,a904),f909(x45961)),a325)),f844(f844(f9(f909(x45961),f916(f909(x45961),a908),f916(f909(x45961),a904)),f844(f844(f10(f916(a908,a904),f916(f916(f909(x45961),a908),f916(f909(x45961),a904)),f909(x45961)),f10(a908,a904,f909(x45961))),f844(f844(f10(a908,f916(a908,a904),f909(x45961)),a324),f189(f909(x45961))))),f189(f909(x45961)))))),f844(f844(f9(f909(x45961),f916(f915(f909(x45961),f909(x45961)),a904),f916(f909(x45961),a904)),f844(f844(f10(f916(f909(x45961),f916(f916(f915(f909(x45961),f909(x45961)),a904),a904)),f916(f916(f915(f909(x45961),f909(x45961)),a904),f916(f909(x45961),a904)),f909(x45961)),f9(f909(x45961),f916(f915(f909(x45961),f909(x45961)),a904),a904)),f844(f844(f10(f916(f909(x45961),f915(f909(x45961),f909(x45961))),f916(f909(x45961),f916(f916(f915(f909(x45961),f909(x45961)),a904),a904)),f909(x45961)),f844(f10(f915(f909(x45961),f909(x45961)),f916(f916(f915(f909(x45961),f909(x45961)),a904),a904),f909(x45961)),f328(f915(f909(x45961),f909(x45961))))),f251(f909(x45961),f909(x45961))))),f145(x45961,x45962)))))),f146(x45961,x45962))
% 201.98/201.92 [4272]E(f844(f844(f79(a1),f844(f844(f79(a1),f844(f844(f80(a1),x42721),x42722)),f844(f844(f80(a1),x42721),x42722))),x42722),f844(f844(f80(a1),f844(f844(f3(a1),f844(f844(f79(a1),x42721),x42721)),a97)),x42722))
% 201.98/201.92 [4375]E(f844(a104,f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x43751),x43752)),f188(f916(f915(a908,a908),a904)))))),f844(f844(f3(a908),x43751),x43752))
% 201.98/201.92 [4379]E(f844(f844(f288(x43791,x43791,x43791),f844(f844(f110(f916(f915(x43791,x43791),a904)),x43792),f306(x43791,f188(f916(f915(x43791,x43791),a904))))),f306(x43791,f844(f844(f110(f916(f915(x43791,x43791),a904)),x43792),f306(x43791,f188(f916(f915(x43791,x43791),a904)))))),f306(x43791,x43792))
% 201.98/201.92 [4416]E(f267(x44161,f844(f136(f915(a99,x44161),f844(f256(a99,x44161,a904),f844(f844(f10(a904,f916(x44161,a904),a99),f18(a904,x44161)),f844(f235(a99),f2(a99))))),x44162)),f267(x44161,x44162))
% 201.98/201.92 [4417]E(f265(x44171,f844(f136(f915(a99,x44171),f844(f256(a99,x44171,a904),f844(f844(f10(a904,f916(x44171,a904),a99),f18(a904,x44171)),f844(f235(a99),f2(a99))))),x44172)),f265(x44171,x44172))
% 201.98/201.92 [4419]E(f844(f78(a1),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x44191),x44192)),f188(f916(f915(a908,a908),a904)))))),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x44192),x44191)),f188(f916(f915(a908,a908),a904))))))
% 201.98/201.92 [4475]E(f844(f844(f287(f909(a908),x44751),f145(a908,a239)),f844(f844(f9(x44751,f909(f916(x44751,a908)),f909(a908)),f844(f844(f10(f916(f916(x44751,a908),a908),f916(f909(f916(x44751,a908)),f909(a908)),x44751),f154(f916(x44751,a908),a908)),f844(f9(f916(x44751,a908),x44751,a908),f7(f916(x44751,a908))))),x44752)),f153(x44751,x44752))
% 201.98/201.92 [4496]E(f844(f844(f85(a1,a908),f844(f103(a1),f844(f844(f79(a1),x44961),a97))),f844(f844(f20(a1,a908,a908),f844(f844(f9(a1,a908,f916(a908,a908)),f844(f844(f10(a904,f916(a908,f916(a908,a908)),a1),f96(a908)),a193)),f2(a908))),f844(f844(f10(a908,a908,a1),a112),f844(f844(f10(a908,a908,a1),f844(f232(a908),x44962)),a104)))),f844(f844(f232(a908),f844(a112,x44962)),f844(f103(a908),x44961)))
% 201.98/201.92 [4497]E(f844(f844(f85(a1,a908),f844(f103(a1),f844(f844(f79(a1),x44971),a97))),f844(f844(f20(a1,a908,a908),f844(f844(f9(a1,a908,f916(a908,a908)),f844(f844(f10(a904,f916(a908,f916(a908,a908)),a1),f96(a908)),a193)),f844(a112,x44972))),f844(f844(f10(a908,a908,a1),a112),f844(f844(f10(a908,a908,a1),f844(f233(a908),x44972)),a104)))),f844(f844(f233(a908),f844(a112,x44972)),f844(f103(a908),x44971)))
% 201.98/201.92 [4517]E(f844(f142(f909(x45171),f909(x45171),f134(x45171),f113(x45171)),f844(f844(f154(f909(x45171),f909(x45171)),f156(f909(x45171),x45171,f113(x45171),f844(f844(f10(f909(x45171),f916(f909(x45171),f909(x45171)),x45171),f18(f909(x45171),f909(x45171))),f844(f844(f9(x45171,f909(x45171),f909(x45171)),f151(x45171)),f113(x45171))))),x45172)),f844(f844(f154(f909(x45171),x45171),f141(x45171)),f844(f136(f909(x45171),f844(f844(f10(a904,a904,f909(x45171)),a321),f844(f844(f9(f909(x45171),f909(x45171),a904),a324),f113(x45171)))),x45172)))
% 201.98/201.92 [4579]E(f844(f256(a1,a1,a904),f844(f844(f9(a1,f916(a1,a904),f916(a1,a904)),f844(f844(f10(f916(a1,f916(a904,a904)),f916(f916(a1,a904),f916(a1,a904)),a1),f20(a1,a904,a904)),f844(f844(f10(f916(a1,a904),f916(a1,f916(a904,a904)),a1),f844(f10(a904,f916(a904,a904),a1),a325)),f844(f844(f10(f916(a1,a1),f916(a1,a904),a1),f844(f10(a1,a904,a1),f844(a324,x45791))),f844(f844(f10(a1,f916(a1,a1),a1),f79(a1)),f844(f80(a1),x45792)))))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f844(f10(a904,a904,a1),f844(a329,f844(f844(f235(a1),f2(a1)),x45792))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),f844(f844(f9(a1,a1,a904),f235(a1)),x45792))))),f844(f844(f10(a904,a904,a1),f844(a329,f844(a321,f844(f844(f235(a1),f2(a1)),x45792)))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f235(a1),x45792))),f844(f844(f9(a1,a1,a904),f234(a1)),f2(a1))))))),f48(x45791,x45792))
% 201.98/201.92 [4582]E(f844(f261(x45821),f844(f844(f10(f916(a908,a904),a904,x45821),f86(a908)),f844(f844(f9(x45821,f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),x45821),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),x45821),f844(f10(a904,f916(a904,a904),a908),a325)),f844(f844(f9(x45821,f916(a908,x45821),f916(a908,a904)),f844(f844(f10(f916(x45821,a904),f916(f916(a908,x45821),f916(a908,a904)),x45821),f10(x45821,a904,a908)),a324)),f844(f164(x45821),x45822))))),f844(f844(f9(a908,a908,a904),f235(a908)),f844(f189(f909(x45821)),x45822))))),f844(f172(x45821),x45822))
% 201.98/201.92 [4389]E(f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),x43891),a97)),x43892)),f844(f844(f3(a1),f844(f844(f79(a1),x43891),a97)),x43892))),a97),f844(f844(f3(a1),f844(f844(f79(a1),x43891),x43891)),f844(f844(f3(a1),f844(f844(f79(a1),x43892),x43892)),a97)))
% 201.98/201.92 [4512]E(f844(f142(f909(f909(x45121)),f909(f909(x45121)),f134(f909(x45121)),f113(f909(x45121))),f844(f844(f154(f909(x45121),f909(f909(x45121))),f156(f909(f909(x45121)),x45121,f113(f909(x45121)),f844(f18(f916(f909(x45121),f909(f909(x45121))),x45121),f844(f844(f9(f909(x45121),f909(f909(x45121)),f909(f909(x45121))),f151(f909(x45121))),f113(f909(x45121)))))),x45122)),f844(f844(f154(f909(x45121),f909(x45121)),f171(x45121)),f844(f136(f909(x45121),f844(f844(f10(a904,a904,f909(x45121)),a321),f844(f844(f9(f909(x45121),f909(x45121),a904),a324),f113(x45121)))),x45122)))
% 201.98/201.92 [4522]E(f844(f844(f85(a1,a908),f844(f103(a1),f844(f844(f79(a1),x45221),a97))),f844(f844(f20(a1,a908,a908),f844(f844(f9(a1,a908,f916(a908,a908)),f844(f844(f10(a904,f916(a908,f916(a908,a908)),a1),f96(a908)),a193)),f2(a908))),f844(f844(f10(a908,a908,a1),a112),f844(f844(f9(a1,a908,a908),f844(f844(f10(a908,f916(a908,a908),a1),f232(a908)),a104)),x45222)))),f844(f844(f232(a908),f844(f103(a908),x45221)),f844(a112,x45222)))
% 201.98/201.92 [4523]E(f844(f844(f85(a1,a908),f844(f103(a1),f844(f844(f79(a1),x45231),a97))),f844(f844(f20(a1,a908,a908),f844(f844(f9(a1,a908,f916(a908,a908)),f844(f844(f10(a904,f916(a908,f916(a908,a908)),a1),f96(a908)),a193)),f844(a112,x45232))),f844(f844(f10(a908,a908,a1),a112),f844(f844(f9(a1,a908,a908),f844(f844(f10(a908,f916(a908,a908),a1),f233(a908)),a104)),x45232)))),f844(f844(f233(a908),f844(f103(a908),x45231)),f844(a112,x45232)))
% 201.98/201.92 [4511]E(f844(f256(x45111,x45111,a904),f844(f844(f20(x45111,a904,f916(x45111,a904)),f844(f844(f10(f916(x45111,f916(a904,a904)),f916(a904,f916(x45111,a904)),x45111),f9(x45111,a904,a904)),f844(f844(f10(f916(x45111,a904),f916(x45111,f916(a904,a904)),x45111),f844(f10(a904,f916(a904,a904),x45111),a325)),a324))),x45112)),f262(x45111,x45112))
% 201.98/201.92 [4556]E(f844(f844(f35(a908),x45561),f844(f844(f79(a908),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97))),x45562)),f844(f844(f35(a908),x45561),f844(a112,f844(a112,f844(a112,x45562)))))
% 201.98/201.92 [4557]E(f44(a908,x45571,f844(f844(f79(a908),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97))),x45572)),f44(a908,x45571,f844(a112,f844(a112,f844(a112,x45572)))))
% 201.98/201.92 [4558]E(f44(a908,f844(f844(f79(a908),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97))),x45581),x45582),f44(a908,f844(a112,f844(a112,f844(a112,x45581))),x45582))
% 201.98/201.92 [4570]E(f123(f844(x45701,f844(f844(f80(a99),f844(f103(a99),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97))),x45702))),f844(f200(x45701),x45702))
% 201.98/201.92 [4571]E(f844(f844(f35(a908),f844(f844(f79(a908),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97))),x45711)),x45712),f844(f844(f35(a908),f844(a112,f844(a112,f844(a112,x45711)))),x45712))
% 201.98/201.92 [4628]~E(f27(x46281,x46282,x46283),a25)
% 201.98/201.92 [4629]~E(f26(x46291,x46292,x46293),a25)
% 201.98/201.92 [4633]~E(f126(x46331,x46332,x46333),f119(x46331))
% 201.98/201.92 [3364]E(f844(f192(x33641,x33642),x33643),f121(x33641,x33642))
% 201.98/201.92 [3383]E(f844(f199(x33831,x33832),x33833),f844(f129(x33831),x33832))
% 201.98/201.92 [3459]E(f844(f844(f154(x34591,x34592),x34593),f113(x34591)),f113(x34592))
% 201.98/201.92 [3499]E(f844(f184(x34991,x34992,x34993),f2(a908)),x34992)
% 201.98/201.92 [3501]E(f844(f844(f181(x35011,x35012),x35013),f113(x35012)),f113(f915(x35011,x35012)))
% 201.98/201.92 [3516]E(f844(f189(f909(x35161)),f169(x35161,x35162,x35163)),x35162)
% 201.98/201.92 [3535]E(f84(x35351,f61(x35351,x35352,x35353)),f844(f62(x35351,x35352),x35353))
% 201.98/201.92 [3539]E(f242(x35391,x35392,f242(x35392,x35391,x35393)),x35393)
% 201.98/201.92 [3559]E(f844(f168(x35591),f169(x35591,x35592,x35593)),f169(x35591,x35592,x35593))
% 201.98/201.92 [3586]E(f140(x35861,x35862,f152(x35861,x35863)),f152(x35861,f140(x35861,x35862,x35863)))
% 201.98/201.92 [3605]E(f844(f250(f909(x36051),f909(x36051)),f166(x36051,x36052,x36053)),f844(f136(x36051,x36052),x36053))
% 201.98/201.92 [3648]E(f844(f844(f151(x36481),x36482),f169(x36481,x36483,x36482)),f169(x36481,f844(a112,x36483),x36482))
% 201.98/201.92 [3680]E(f19(x36801,x36802,x36803,f2(a99)),x36802)
% 201.98/201.92 [3681]E(f21(x36811,x36812,x36813,f2(a99)),x36812)
% 201.98/201.92 [3682]E(f185(x36821,x36822,x36823,f2(a908)),x36822)
% 201.98/201.92 [3689]E(f163(x36891,x36892,x36893,f113(x36891)),f113(x36892))
% 201.98/201.92 [3690]E(f130(x36901,x36902,x36903,f119(x36901)),f119(x36902))
% 201.98/201.92 [3696]E(f844(f844(f164(x36961),f844(f844(f151(x36961),x36962),x36963)),f2(a908)),x36962)
% 201.98/201.92 [3725]E(f58(x37251,x37252,f113(x37251),x37253),f113(f915(x37251,x37252)))
% 201.98/201.92 [3745]P24(x37451,x37452,x37453,f188(f916(x37451,a904)))
% 201.98/201.92 [3848]E(f264(x38481,x38482,x38483),f844(f251(f916(a99,f916(a904,f912(f910(x38481)))),f915(a99,a99)),f40(x38481)))
% 201.98/201.92 [3906]E(f844(f72(x39061,x39062,x39061,x39063),f31(x39061)),x39063)
% 201.98/201.92 [4087]P105(f844(f844(f328(f915(x40871,x40871)),f844(f844(f251(x40871,x40871),x40872),x40872)),f306(x40871,x40873)))
% 201.98/201.92 [4685]~P105(f844(f844(f328(f915(f909(x46851),f909(x46851))),f844(f844(f251(f909(x46851),f909(x46851)),x46852),f113(x46851))),f145(x46851,x46853)))
% 201.98/201.92 [4686]~P105(f844(f844(f328(f915(f909(x46861),f909(x46861))),f844(f844(f251(f909(x46861),f909(x46861)),x46862),f113(x46861))),f147(x46861,x46863)))
% 201.98/201.92 [4687]~P105(f844(f844(f328(f915(f909(x46871),f909(x46871))),f844(f844(f251(f909(x46871),f909(x46871)),x46872),f113(x46871))),f157(x46871,x46873)))
% 201.98/201.92 [4688]~P105(f844(f844(f328(f915(f909(x46881),f909(x46881))),f844(f844(f251(f909(x46881),f909(x46881)),f113(x46881)),x46882)),f145(x46881,x46883)))
% 201.98/201.92 [4689]~P105(f844(f844(f328(f915(f909(x46891),f909(x46891))),f844(f844(f251(f909(x46891),f909(x46891)),f113(x46891)),x46892)),f157(x46891,x46893)))
% 201.98/201.92 [3434]E(f844(f844(f201(x34341),x34342),x34343),f202(x34341,f215(x34342,x34343)))
% 201.98/201.92 [3488]E(f844(f285(x34881,x34882),f844(f285(x34882,x34881),x34883)),x34883)
% 201.98/201.92 [3511]E(f844(f844(f181(x35111,x35112),f113(x35111)),x35113),f113(f915(x35111,x35112)))
% 201.98/201.92 [3514]E(f176(x35141,x35142,f844(f281(a908),x35143)),f844(f844(f175(x35141),x35143),x35142))
% 201.98/201.92 [3532]E(f152(x35321,f844(f136(x35321,x35322),x35323)),f844(f136(x35321,x35322),f152(x35321,x35323)))
% 201.98/201.92 [3533]E(f844(f283(x35331,x35332),f844(f285(x35332,x35331),x35333)),f844(f263(x35332,x35331),x35333))
% 201.98/201.92 [3534]E(f844(f263(x35341,x35342),f844(f285(x35342,x35341),x35343)),f844(f283(x35342,x35341),x35343))
% 201.98/201.92 [3552]E(f844(f136(x35521,x35522),f844(f168(x35521),x35523)),f844(f168(x35521),f844(f136(x35521,x35522),x35523)))
% 201.98/201.92 [3565]E(f844(f844(f138(x35651),x35652),f844(f171(x35651),x35653)),f844(f844(f138(x35651),f844(a112,x35652)),x35653))
% 201.98/201.92 [3581]E(f28(f26(x35811,x35812,x35813)),f844(f844(f79(a908),f28(x35813)),f844(a112,f2(a908))))
% 201.98/201.92 [3582]E(f844(f309(x35821,x35822,x35823),f188(f916(x35821,a904))),f188(f916(x35822,a904)))
% 201.98/201.92 [3583]E(f844(f284(x35831,x35832,x35833),f188(f916(x35831,a904))),f188(f916(x35832,a904)))
% 201.98/201.92 [3584]E(f844(f310(x35841,x35842,x35843),f188(f916(x35842,a904))),f188(f916(x35841,a904)))
% 201.98/201.92 [3585]E(f844(f310(x35851,x35852,x35853),f241(f916(x35852,a904))),f241(f916(x35851,a904)))
% 201.98/201.92 [3611]E(f120(x36111,f126(f910(x36111),x36112,x36113)),f116(x36111,x36112,f120(x36111,x36113)))
% 201.98/201.92 [3613]E(f844(f844(f308(x36131),x36132),f844(f172(x36131),x36133)),f844(f172(x36131),f140(x36131,x36132,x36133)))
% 201.98/201.92 [3700]E(f844(f189(a905),f26(x37001,x37002,x37003)),f844(f844(f79(a908),f844(f189(a905),x37003)),f844(a112,f2(a908))))
% 201.98/201.92 [3701]E(f844(f309(f915(x37011,x37012),x37012,f255(x37011,x37012)),x37013),f844(f283(x37011,x37012),x37013))
% 201.98/201.92 [3702]E(f844(f309(f915(x37021,x37022),x37021,f250(x37021,x37022)),x37023),f844(f263(x37021,x37022),x37023))
% 201.98/201.92 [3717]E(f844(f172(x37171),f169(x37171,f844(a112,x37172),x37173)),f844(f844(f308(x37171),x37173),f188(f916(x37171,a904))))
% 201.98/201.92 [3774]E(f844(f844(f251(x37741,x37742),f844(f250(x37741,x37742),x37743)),f844(f255(x37741,x37742),x37743)),x37743)
% 201.98/201.92 [3781]E(f844(f189(f910(x37811)),f126(x37811,x37812,x37813)),f844(f844(f79(a908),f844(f189(f910(x37811)),x37813)),f844(a112,f2(a908))))
% 201.98/201.92 [3783]E(f844(f844(f256(x37831,x37832,x37831),f18(x37831,x37832)),x37833),f844(f250(x37831,x37832),x37833))
% 201.98/201.92 [3861]E(f28(f27(x38611,x38612,x38613)),f844(f844(f79(a908),f844(f844(f79(a908),f28(x38612)),f28(x38613))),f844(a112,f2(a908))))
% 201.98/201.92 [3911]E(f844(f72(x39111,x39111,x39112,f31(x39111)),x39113),x39113)
% 201.98/201.92 [3919]E(f844(f844(f134(x39191),f169(x39191,x39192,x39193)),f844(f844(f151(x39191),x39193),f113(x39191))),f844(f844(f151(x39191),x39193),f169(x39191,x39192,x39193)))
% 201.98/201.92 [4020]E(f844(f189(a905),f27(x40201,x40202,x40203)),f844(f844(f79(a908),f844(f844(f79(a908),f844(f189(a905),x40202)),f844(f189(a905),x40203))),f844(a112,f2(a908))))
% 201.98/201.92 [4096]P105(f844(f844(f234(f916(x40961,a904)),f844(f172(x40961),f844(f136(x40961,x40962),x40963))),f844(f172(x40961),x40963)))
% 201.98/201.92 [4138]P105(f844(f844(f234(f916(x41381,a904)),f844(f172(x41381),f844(f844(f175(x41381),x41382),x41383))),f844(f172(x41381),x41383)))
% 201.98/201.92 [4139]P105(f844(f844(f234(f916(x41391,a904)),f844(f172(x41391),f844(f844(f138(x41391),x41392),x41393))),f844(f172(x41391),x41393)))
% 201.98/201.92 [4143]P105(f844(f844(f234(f916(x41431,a904)),f844(f172(x41431),f176(x41431,x41432,x41433))),f844(f172(x41431),x41432)))
% 201.98/201.92 [4144]P105(f844(f844(f234(f916(x41441,a904)),f844(f172(x41441),f170(x41441,x41442,x41443))),f844(f172(x41441),x41443)))
% 201.98/201.92 [4165]P24(f915(x41651,x41652),f915(x41652,x41651),f844(f256(x41651,x41652,f915(x41652,x41651)),f844(f9(x41652,x41651,f915(x41652,x41651)),f251(x41652,x41651))),x41653)
% 201.98/201.92 [4176]E(f844(f844(f844(f183(f909(x41761),f909(x41761)),f44(a908,x41762,f844(f189(f909(x41761)),x41763))),f167(x41761)),x41763),f844(f844(f844(f183(f909(x41761),f909(x41761)),x41762),f167(x41761)),x41763))
% 201.98/201.92 [4220]P105(f844(f844(f328(f915(f909(x42201),f909(x42201))),f844(f844(f251(f909(x42201),f909(x42201)),x42202),x42202)),f158(x42201,f306(x42201,x42203))))
% 201.98/201.92 [4362]E(f84(f915(x43621,x43622),f844(f844(f20(f915(x43621,x43622),x43622,a904),f844(f844(f10(x43621,f916(x43622,a904),f915(x43621,x43622)),x43623),f250(x43621,x43622))),f255(x43621,x43622))),f84(f915(x43621,x43622),f844(f256(x43621,x43622,a904),x43623)))
% 201.98/201.92 [4363]E(f89(f915(x43631,x43632),f844(f844(f20(f915(x43631,x43632),x43632,a904),f844(f844(f10(x43631,f916(x43632,a904),f915(x43631,x43632)),x43633),f250(x43631,x43632))),f255(x43631,x43632))),f89(f915(x43631,x43632),f844(f256(x43631,x43632,a904),x43633)))
% 201.98/201.92 [4396]E(f844(f844(f287(f915(a908,x43961),x43961),f318(a908,x43961,a239,x43962)),f844(f844(f20(x43961,x43961,f915(a908,x43961)),f844(f844(f10(a908,f916(x43961,f915(a908,x43961)),x43961),f251(a908,x43961)),x43963)),f7(x43961))),f320(x43961,x43963,x43962))
% 201.98/201.92 [4458]E(f844(f257(x44581,x44581,x44582,x44582,f7(x44581),f7(x44582)),x44583),x44583)
% 201.98/201.92 [4531]E(f844(f142(f909(f909(x45311)),f909(f909(x45311)),f134(f909(x45311)),f113(f909(x45311))),f844(f844(f154(f909(x45311),f909(f909(x45311))),f844(f844(f9(f909(x45311),f909(x45311),f909(f909(x45311))),f844(f844(f10(f916(x45311,f909(x45311)),f916(f909(x45311),f909(f909(x45311))),f909(x45311)),f154(x45311,f909(x45311))),f844(f9(x45311,f909(x45311),f909(x45311)),f151(x45311)))),x45312)),f54(x45311,x45313,x45312))),f54(x45311,f844(a112,x45313),x45312))
% 201.98/201.92 [4587]E(f223(a908,f915(x45871,f910(x45871)),f2(a908),f844(f256(x45871,f910(x45871),a908),f844(f844(f9(x45871,a908,f916(f910(x45871),a908)),f844(f844(f10(f916(f910(x45871),f916(a908,a908)),f916(a908,f916(f910(x45871),a908)),x45871),f9(f910(x45871),a908,a908)),f844(f844(f10(f916(f910(x45871),a908),f916(f910(x45871),f916(a908,a908)),x45871),f844(f10(a908,f916(a908,a908),f910(x45871)),f79(a908))),f844(f844(f9(x45871,f916(f910(x45871),a908),f916(f910(x45871),a908)),f844(f844(f10(f916(a908,a908),f916(f916(f910(x45871),a908),f916(f910(x45871),a908)),x45871),f10(a908,a908,f910(x45871))),f844(f844(f10(a908,f916(a908,a908),x45871),f79(a908)),x45872))),f125(x45871,x45872))))),f77(a908))),f844(f135(x45871),x45873)),f844(f125(x45871,x45872),x45873))
% 201.98/201.92 [4595]E(f844(f844(f85(a1,x45951),f218(f844(f844(f72(f915(a1,a1),a1,x45951,f255(a1,a1)),f212(x45951)),x45952),f844(f844(f72(f915(a1,a1),a1,x45951,f255(a1,a1)),f212(x45951)),x45953))),f844(f844(f20(a1,a1,x45951),f844(f844(f10(a1,f916(a1,x45951),a1),f201(x45951)),f844(f844(f20(a1,a1,a1),f844(f844(f10(a1,f916(a1,a1),a1),f79(a1)),f844(f844(f10(a1,a1,a1),f844(f80(a1),f844(f844(f72(f915(a1,a1),a1,x45951,f250(a1,a1)),f212(x45951)),x45952))),f844(f844(f9(a1,a1,a1),f35(a1)),f844(f844(f72(f915(a1,a1),a1,x45951,f255(a1,a1)),f212(x45951)),x45952))))),f844(f844(f10(a1,a1,a1),f844(f80(a1),f844(f844(f72(f915(a1,a1),a1,x45951,f250(a1,a1)),f212(x45951)),x45953))),f844(f844(f9(a1,a1,a1),f35(a1)),f844(f844(f72(f915(a1,a1),a1,x45951,f255(a1,a1)),f212(x45951)),x45953)))))),f7(a1))),f230(x45951,x45952,x45953))
% 201.98/201.92 [4624]~E(f844(f844(f151(x46241),x46242),x46243),x46243)
% 201.98/201.92 [4631]~E(f844(f844(f151(x46311),x46312),x46313),f113(x46311))
% 201.98/201.92 [4645]~E(f844(f844(f308(x46451),x46452),x46453),f188(f916(x46451,a904)))
% 201.98/201.92 [4667]~E(f844(f309(x46671,f916(x46671,a904),x46672),x46673),f844(f307(x46671),x46673))
% 201.98/201.92 [3493]E(f844(f844(f159(x34931,f113(x34931)),x34932),x34933),f113(x34931))
% 201.98/201.92 [3494]E(f844(f141(x34941),f844(f844(f151(x34941),x34942),x34943)),x34942)
% 201.98/201.92 [3495]E(f844(f171(x34951),f844(f844(f151(x34951),x34952),x34953)),x34953)
% 201.98/201.92 [3538]E(f844(f844(f138(x35381),f77(a908)),f844(f844(f151(x35381),x35382),x35383)),x35383)
% 201.98/201.92 [3572]E(f114(x35721,f844(f844(f138(x35721),x35722),x35723)),f844(f844(f138(x35721),x35722),f114(x35721,x35723)))
% 201.98/201.92 [3574]E(f844(f844(f159(x35741,x35742),x35743),f844(f844(f164(x35741),x35742),x35743)),x35742)
% 201.98/201.92 [3595]E(f844(f844(f308(x35951),x35952),f844(f844(f308(x35951),x35952),x35953)),f844(f844(f308(x35951),x35952),x35953))
% 201.98/201.92 [3608]E(f844(f844(f308(x36081),x36082),f844(f172(x36081),x36083)),f844(f172(x36081),f844(f844(f151(x36081),x36082),x36083)))
% 201.98/201.92 [3610]E(f844(f844(f138(x36101),x36102),f844(f171(x36101),x36103)),f844(f171(x36101),f844(f844(f138(x36101),x36102),x36103)))
% 201.98/201.92 [3622]E(f844(f844(f175(x36221),f77(a908)),f844(f844(f151(x36221),x36222),x36223)),f844(f844(f151(x36221),x36222),f113(x36221)))
% 201.98/201.92 [3665]E(f844(f62(x36651,x36652),f844(f844(f308(x36651),x36653),f188(f916(x36651,a904)))),x36653)
% 201.98/201.92 [3707]E(f844(f844(f79(a908),x37071),f844(f844(f79(a908),x37072),x37073)),f844(f844(f79(a908),x37072),f844(f844(f79(a908),x37071),x37073)))
% 201.98/201.92 [3708]E(f844(f844(f79(a1),x37081),f844(f844(f79(a1),x37082),x37083)),f844(f844(f79(a1),x37082),f844(f844(f79(a1),x37081),x37083)))
% 201.98/201.92 [3713]E(f844(f844(f253(x37131,x37132),f188(f916(x37131,a904))),x37133),f188(f916(f915(x37131,x37132),a904)))
% 201.98/201.92 [3737]E(f844(f844(f110(f916(x37371,a904)),x37372),x37373),f844(f844(f110(f916(x37371,a904)),x37373),x37372))
% 201.98/201.92 [3738]E(f844(f844(f101(f916(x37381,a904)),x37382),x37383),f844(f844(f101(f916(x37381,a904)),x37383),x37382))
% 201.98/201.92 [3740]E(f844(f844(f134(x37401),x37402),f844(f844(f151(x37401),x37403),f113(x37401))),f844(f167(x37401),f844(f844(f151(x37401),x37403),x37402)))
% 201.98/201.92 [3741]E(f844(f844(f134(x37411),f844(f168(x37411),x37412)),f844(f168(x37411),x37413)),f844(f168(x37411),f844(f844(f134(x37411),x37413),x37412)))
% 201.98/201.92 [3751]E(f844(f171(x37511),f844(f844(f175(x37511),f844(a112,x37512)),x37513)),f844(f844(f175(x37511),x37512),f844(f171(x37511),x37513)))
% 201.98/201.92 [3759]P105(f844(f844(f328(x37591),x37592),f844(f844(f308(x37591),x37592),x37593)))
% 201.98/201.92 [3763]E(f844(f844(f38(x37631,f916(x37632,a904)),f188(f916(x37631,a904))),x37633),f241(f916(x37632,a904)))
% 201.98/201.92 [3766]E(f844(f284(x37661,x37661,f262(x37661,x37662)),x37663),f844(f844(f101(f916(x37661,a904)),x37662),x37663))
% 201.98/201.92 [3780]E(f844(f189(f909(x37801)),f844(f844(f151(x37801),x37802),x37803)),f844(f844(f79(a908),f844(f189(f909(x37801)),x37803)),f844(a112,f2(a908))))
% 201.98/201.92 [3785]E(f114(x37851,f844(f844(f134(x37851),x37852),f844(f844(f151(x37851),x37853),f113(x37851)))),x37852)
% 201.98/201.92 [3786]E(f144(x37861,f844(f844(f134(x37861),x37862),f844(f844(f151(x37861),x37863),f113(x37861)))),x37863)
% 201.98/201.92 [3795]E(f844(f844(f134(x37951),f844(f844(f175(x37951),x37952),x37953)),f844(f844(f138(x37951),x37952),x37953)),x37953)
% 201.98/201.92 [3804]E(f844(f844(f3(a908),f844(f844(f79(a908),x38041),x38042)),f844(f844(f79(a908),x38043),x38042)),f844(f844(f3(a908),x38041),x38043))
% 201.98/201.92 [3805]E(f844(f844(f3(a908),f844(f844(f79(a908),x38051),x38052)),f844(f844(f79(a908),x38051),x38053)),f844(f844(f3(a908),x38052),x38053))
% 201.98/201.92 [3811]E(f844(f844(f134(x38111),f844(f168(x38111),x38112)),f844(f844(f151(x38111),x38113),f113(x38111))),f844(f168(x38111),f844(f844(f151(x38111),x38113),x38112)))
% 201.98/201.92 [3813]E(f844(f844(f79(a908),f844(f189(f909(x38131)),x38132)),f844(f189(f909(x38131)),x38133)),f844(f189(f909(x38131)),f844(f844(f134(x38131),x38132),x38133)))
% 201.98/201.92 [3816]E(f844(f844(f79(a908),f844(f189(f909(x38161)),x38162)),f844(f189(f909(x38161)),x38163)),f844(f189(f909(x38161)),f173(x38161,x38162,x38163)))
% 201.98/201.92 [3823]E(f844(f844(f110(f916(x38231,a904)),f844(f172(x38231),x38232)),f844(f172(x38231),x38233)),f844(f172(x38231),f844(f844(f134(x38231),x38232),x38233)))
% 201.98/201.92 [3824]E(f44(a908,f844(f844(f80(a908),x38241),x38242),f844(f844(f80(a908),x38241),x38243)),f844(f844(f80(a908),x38241),f44(a908,x38242,x38243)))
% 201.98/201.92 [3836]E(f844(f844(f175(x38361),f844(f844(f3(a908),x38362),f77(a908))),f844(f171(x38361),x38363)),f844(f171(x38361),f844(f844(f175(x38361),x38362),x38363)))
% 201.98/201.92 [3841]E(f844(f844(f101(f916(x38411,a904)),x38412),f844(f78(f916(x38411,a904)),x38413)),f844(f844(f3(f916(x38411,a904)),x38412),x38413))
% 201.98/201.92 [3842]E(f844(f844(f3(f916(x38421,a904)),x38422),f844(f78(f916(x38421,a904)),x38423)),f844(f844(f101(f916(x38421,a904)),x38422),x38423))
% 201.98/201.92 [3865]E(f844(f844(f253(x38651,x38652),x38653),f844(f18(f916(x38652,a904),x38651),f188(f916(x38652,a904)))),f188(f916(f915(x38651,x38652),a904)))
% 201.98/201.92 [3867]E(f844(f844(f3(a908),f844(f844(f80(a908),x38671),x38672)),f844(f844(f80(a908),x38671),x38673)),f844(f844(f80(a908),x38671),f844(f844(f3(a908),x38672),x38673)))
% 201.98/201.92 [3868]E(f844(f844(f79(a908),f844(f844(f80(a908),x38681),x38682)),f844(f844(f80(a908),x38681),x38683)),f844(f844(f80(a908),x38681),f844(f844(f79(a908),x38682),x38683)))
% 201.98/201.92 [3869]E(f844(f844(f3(a1),f844(f844(f80(a1),x38691),x38692)),f844(f844(f80(a1),x38691),x38693)),f844(f844(f80(a1),x38691),f844(f844(f3(a1),x38692),x38693)))
% 201.98/201.92 [3870]E(f844(f844(f79(a1),f844(f844(f80(a1),x38701),x38702)),f844(f844(f80(a1),x38701),x38703)),f844(f844(f80(a1),x38701),f844(f844(f79(a1),x38702),x38703)))
% 201.98/201.92 [3871]E(f844(f844(f80(a1),f844(f844(f243(a1),x38711),x38712)),f844(f844(f243(a1),x38711),x38713)),f844(f844(f243(a1),x38711),f844(f844(f79(a908),x38712),x38713)))
% 201.98/201.92 [3885]E(f844(f844(f39(x38851,f916(x38852,a904)),x38853),f844(f18(f916(x38852,a904),x38851),f188(f916(x38852,a904)))),f188(f916(x38852,a904)))
% 201.98/201.92 [3887]E(f44(a908,f844(f844(f80(a908),x38871),x38872),f844(f844(f80(a908),x38873),x38872)),f844(f844(f80(a908),f44(a908,x38871,x38873)),x38872))
% 201.98/201.92 [3892]E(f44(a1,f844(f844(f3(a1),x38921),f44(a1,x38922,x38923)),x38923),f44(a1,f844(f844(f3(a1),x38921),x38922),x38923))
% 201.98/201.92 [3893]E(f44(a1,f844(f844(f80(a1),x38931),f44(a1,x38932,x38933)),x38933),f44(a1,f844(f844(f80(a1),x38931),x38932),x38933))
% 201.98/201.92 [3894]P105(f844(f844(f234(f916(x38941,a904)),x38942),f844(f844(f308(x38941),x38943),x38942)))
% 201.98/201.92 [3971]E(f844(f844(f38(f916(x39711,a904),f916(x39711,a904)),x39712),f844(f110(f916(x39711,a904)),x39713)),f844(f844(f110(f916(x39711,a904)),x39713),f37(f916(x39711,a904),x39712)))
% 201.98/201.92 [3972]E(f844(f844(f39(f916(x39721,a904),f916(x39721,a904)),x39722),f844(f101(f916(x39721,a904)),x39723)),f844(f844(f101(f916(x39721,a904)),x39723),f36(f916(x39721,a904),x39722)))
% 201.98/201.92 [3984]E(f844(f172(x39841),f844(f844(f844(f183(f909(x39841),f909(x39841)),x39842),f167(x39841)),x39843)),f844(f172(x39841),x39843))
% 201.98/201.92 [3988]E(f844(f844(f175(x39881),f844(f189(f909(x39881)),f177(x39881,x39882,x39883))),x39883),f177(x39881,x39882,x39883))
% 201.98/201.92 [3992]E(f844(f189(f909(x39921)),f844(f844(f844(f183(f909(x39921),f909(x39921)),x39922),f167(x39921)),x39923)),f844(f189(f909(x39921)),x39923))
% 201.98/201.92 [3995]E(f844(f844(f256(x39951,x39952,x39952),f844(f18(f916(x39952,x39952),x39951),f7(x39952))),x39953),f844(f255(x39951,x39952),x39953))
% 201.98/201.92 [4002]E(f44(a1,f844(f844(f3(a1),f44(a1,x40021,x40022)),x40023),x40022),f44(a1,f844(f844(f3(a1),x40021),x40023),x40022))
% 201.98/201.92 [4003]E(f44(a1,f844(f844(f243(a1),f44(a1,x40031,x40032)),x40033),x40032),f44(a1,f844(f844(f243(a1),x40031),x40033),x40032))
% 201.98/201.92 [4006]E(f844(f844(f39(f916(f915(x40061,x40062),a904),f916(x40062,a904)),x40063),f283(x40061,x40062)),f844(f283(x40061,x40062),f36(f916(f915(x40061,x40062),a904),x40063)))
% 201.98/201.92 [4007]E(f844(f844(f39(f916(f915(x40071,x40072),a904),f916(x40071,a904)),x40073),f263(x40071,x40072)),f844(f263(x40071,x40072),f36(f916(f915(x40071,x40072),a904),x40073)))
% 201.98/201.92 [4031]E(f844(f72(x40311,x40311,x40311,x40312),f844(f844(f183(x40311,x40311),x40313),x40312)),f844(f844(f183(x40311,x40311),f844(a112,x40313)),x40312))
% 201.98/201.92 [4051]E(f844(f844(f138(x40511),f844(f844(f3(a908),f844(f189(f909(x40511)),x40512)),x40513)),f844(f168(x40511),x40512)),f844(f168(x40511),f844(f844(f175(x40511),x40513),x40512)))
% 201.98/201.92 [4052]E(f844(f844(f175(x40521),f844(f844(f3(a908),f844(f189(f909(x40521)),x40522)),x40523)),f844(f168(x40521),x40522)),f844(f168(x40521),f844(f844(f138(x40521),x40523),x40522)))
% 201.98/201.92 [4054]E(f844(f844(f79(a908),f844(f165(a908),f844(f844(f154(x40541,a908),x40542),x40543))),f844(f189(f909(x40541)),x40543)),f155(x40541,x40542,x40543))
% 201.98/201.92 [4074]E(f844(f167(x40741),f844(f844(f844(f183(f909(x40741),f909(x40741)),x40742),f167(x40741)),x40743)),f844(f844(f844(f183(f909(x40741),f909(x40741)),f844(a112,x40742)),f167(x40741)),x40743))
% 201.98/201.92 [4088]P105(f844(f844(f234(a908),f844(f189(f909(x40881)),f844(f136(x40881,x40882),x40883))),f844(f189(f909(x40881)),x40883)))
% 201.98/201.92 [4104]E(f844(f844(f110(f916(f916(x41041,a904),a904)),f844(f307(x41041),x41042)),f844(f309(f916(x41041,a904),f916(x41041,a904),f844(f308(x41041),x41043)),f844(f307(x41041),x41042))),f844(f307(x41041),f844(f844(f308(x41041),x41043),x41042)))
% 201.98/201.92 [4135]P105(f844(f844(f234(a908),f844(f189(f909(x41351)),f177(x41351,x41352,x41353))),f844(f189(f909(x41351)),x41353)))
% 201.98/201.92 [4142]E(f844(f263(x41421,x41422),f844(f261(f915(x41421,x41422)),f844(f256(x41421,x41422,a904),x41423))),f844(f261(x41421),f844(f844(f10(f916(x41422,a904),a904,x41421),f86(x41422)),x41423)))
% 201.98/201.92 [4154]E(f844(f309(a908,a908,f844(f844(f9(a908,a908,a908),f79(a908)),x41541)),f302(a908,x41542,x41543)),f302(a908,f844(f844(f79(a908),x41542),x41541),f844(f844(f79(a908),x41543),x41541)))
% 201.98/201.92 [4168]E(f844(f309(a908,a908,f844(f844(f9(a908,a908,a908),f79(a908)),x41681)),f844(f301(a908,x41682),x41683)),f844(f301(a908,f844(f844(f79(a908),x41682),x41681)),f844(f844(f79(a908),x41683),x41681)))
% 201.98/201.92 [4186]E(f844(f844(f181(x41861,x41862),f844(f844(f154(f915(x41861,x41862),x41861),f250(x41861,x41862)),x41863)),f844(f844(f154(f915(x41861,x41862),x41862),f255(x41861,x41862)),x41863)),x41863)
% 201.98/201.92 [4191]E(f844(f844(f79(a908),f844(f844(f80(a908),x41911),f44(a908,f844(f844(f35(a908),x41912),x41911),x41913))),f44(a908,x41912,x41911)),f44(a908,x41912,f844(f844(f80(a908),x41911),x41913)))
% 201.98/201.92 [4204]E(f844(f844(f134(x42041),x42042),f844(f142(f909(x42041),f909(x42041),f134(x42041),f113(x42041)),x42043)),f844(f142(f909(x42041),f909(x42041),f134(x42041),x42042),x42043))
% 201.98/201.92 [4225]P105(f844(f844(f328(f915(x42251,x42251)),f844(f844(f251(x42251,x42251),x42252),x42252)),f844(f844(f183(f915(x42251,x42251),a904),f2(a908)),x42253)))
% 201.98/201.92 [4230]E(f844(f261(x42301),f844(f844(f10(f916(x42302,a904),a904,x42301),f86(x42302)),f844(f9(x42302,x42301,a904),x42303))),f844(f283(x42302,x42301),f844(f261(f915(x42302,x42301)),f844(f256(x42302,x42301,a904),x42303))))
% 201.98/201.92 [4247]E(f844(f844(f110(f916(x42471,a904)),f844(f844(f39(a908,f916(x42471,a904)),f302(a908,f77(a908),x42472)),x42473)),f844(x42473,f2(a908))),f844(f844(f39(a908,f916(x42471,a904)),f844(f300(a908),x42472)),x42473))
% 201.98/201.92 [4262]E(f844(f142(f909(x42621),f909(x42621),f134(x42621),f113(x42621)),f844(f844(f154(f909(x42621),f909(x42621)),f136(x42621,x42622)),x42623)),f844(f136(x42621,x42622),f844(f142(f909(x42621),f909(x42621),f134(x42621),f113(x42621)),x42623)))
% 201.98/201.92 [4266]E(f844(f255(f909(x42661),f909(x42661)),f166(x42661,x42662,x42663)),f844(f136(x42661,f844(f72(a904,a904,x42661,a321),x42662)),x42663))
% 201.98/201.92 [4277]P23(x42771,x42772,f844(f844(f308(f907(x42771)),f91(x42771,x42773,a25,x42773)),f188(f916(f907(x42771),a904))))
% 201.98/201.92 [4314]E(f844(f844(f79(a1),f844(f844(f79(a1),f844(f844(f80(a1),x43141),f844(f844(f35(a1),x43142),x43141))),f44(a1,x43142,x43141))),x43143),f844(f844(f79(a1),x43142),x43143))
% 201.98/201.92 [4351]E(f844(f844(f79(a1),f844(f844(f79(a1),f844(f844(f80(a1),f844(f844(f35(a1),x43511),x43512)),x43512)),f44(a1,x43511,x43512))),x43513),f844(f844(f79(a1),x43511),x43513))
% 201.98/201.92 [4377]E(f84(f915(x43771,x43772),f844(f256(x43771,x43772,a904),f844(f844(f10(f916(x43772,f915(x43771,x43772)),f916(x43772,a904),x43771),f844(f10(f915(x43771,x43772),a904,x43772),x43773)),f251(x43771,x43772)))),f84(f915(x43771,x43772),x43773))
% 201.98/201.92 [4378]E(f89(f915(x43781,x43782),f844(f256(x43781,x43782,a904),f844(f844(f10(f916(x43782,f915(x43781,x43782)),f916(x43782,a904),x43781),f844(f10(f915(x43781,x43782),a904,x43782),x43783)),f251(x43781,x43782)))),f89(f915(x43781,x43782),x43783))
% 201.98/201.92 [4405]P105(f844(f844(f234(f916(x44051,a904)),f36(f916(x44051,a904),f844(f844(f101(f916(f916(x44051,a904),a904)),x44052),x44053))),f844(f844(f101(f916(x44051,a904)),f36(f916(x44051,a904),x44052)),f36(f916(x44051,a904),x44053))))
% 201.98/201.92 [4406]E(f844(f168(x44061),f844(f844(f844(f183(f909(x44061),f909(x44061)),f844(f844(f3(a908),f844(f189(f909(x44061)),x44062)),f44(a908,x44063,f844(f189(f909(x44061)),x44062)))),f167(x44061)),x44062)),f844(f844(f844(f183(f909(x44061),f909(x44061)),x44063),f167(x44061)),f844(f168(x44061),x44062)))
% 201.98/201.92 [4443]P105(f844(f844(f234(a908),f844(f189(f909(x44431)),f844(f844(f138(x44431),f844(f189(f909(x44431)),f177(x44431,x44432,x44433))),x44433))),f844(f189(f909(x44431)),x44433)))
% 201.98/201.92 [4679]~P105(f844(f61(x46791,x46792,f188(f916(x46791,a904))),x46793))
% 201.98/201.92 [4684]~P105(f844(f844(f328(f915(x46841,x46841)),f844(f844(f251(x46841,x46841),x46842),x46843)),f153(x46841,f113(f916(x46841,a908)))))
% 201.98/201.92 [3752]E(f844(f189(f909(x37521)),f844(f844(f175(x37521),x37522),x37523)),f844(f844(f232(a908),f844(f189(f909(x37521)),x37523)),x37522))
% 201.98/201.92 [3753]E(f844(f189(f909(x37531)),f844(f844(f138(x37531),x37532),x37533)),f844(f844(f3(a908),f844(f189(f909(x37531)),x37533)),x37532))
% 201.98/201.92 [3779]E(f844(f189(f909(f909(x37791))),f54(x37791,x37792,x37793)),f844(f844(f243(a908),f844(f189(f909(x37791)),x37793)),x37792))
% 201.98/201.92 [3797]E(f844(f844(f35(a908),f844(f844(f35(a908),x37971),x37972)),x37973),f844(f844(f35(a908),x37971),f844(f844(f80(a908),x37972),x37973)))
% 201.98/201.92 [3798]E(f844(f844(f3(a908),f844(f844(f3(a908),x37981),x37982)),x37983),f844(f844(f3(a908),x37981),f844(f844(f79(a908),x37982),x37983)))
% 201.98/201.92 [3799]E(f844(f844(f80(a908),f844(f844(f80(a908),x37991),x37992)),x37993),f844(f844(f80(a908),x37991),f844(f844(f80(a908),x37992),x37993)))
% 201.98/201.92 [3800]E(f844(f844(f80(a1),f844(f844(f80(a1),x38001),x38002)),x38003),f844(f844(f80(a1),x38001),f844(f844(f80(a1),x38002),x38003)))
% 201.98/201.92 [3801]E(f844(f844(f79(a908),f844(f844(f79(a908),x38011),x38012)),x38013),f844(f844(f79(a908),x38011),f844(f844(f79(a908),x38012),x38013)))
% 201.98/201.92 [3802]E(f844(f844(f79(a1),f844(f844(f79(a1),x38021),x38022)),x38023),f844(f844(f79(a1),x38021),f844(f844(f79(a1),x38022),x38023)))
% 201.98/201.92 [3803]E(f844(f844(f243(a1),f844(f844(f243(a1),x38031),x38032)),x38033),f844(f844(f243(a1),x38031),f844(f844(f80(a908),x38032),x38033)))
% 201.98/201.92 [3822]E(f162(x38221,f844(f844(f151(f916(x38221,a904)),x38222),x38223)),f174(x38221,x38222,f162(x38221,x38223)))
% 201.98/201.92 [3866]E(f844(f844(f3(a908),f844(f844(f3(a908),x38661),x38662)),x38663),f844(f844(f3(a908),f844(f844(f3(a908),x38661),x38663)),x38662))
% 201.98/201.92 [3874]E(f844(f844(f101(f916(x38741,a904)),x38742),f844(f844(f3(f916(x38741,a904)),x38743),x38742)),f188(f916(x38741,a904)))
% 201.98/201.92 [3878]E(f844(f844(f154(a908,x38781),f844(f18(x38781,a908),x38782)),f139(a908,f844(f301(a908,f2(a908)),x38783))),f169(x38781,x38783,x38782))
% 201.98/201.92 [3917]E(f36(f916(x39171,a904),f844(f844(f308(f916(x39171,a904)),x39172),x39173)),f844(f844(f110(f916(x39171,a904)),x39172),f36(f916(x39171,a904),x39173)))
% 201.98/201.92 [3918]E(f37(f916(x39181,a904),f844(f844(f308(f916(x39181,a904)),x39182),x39183)),f844(f844(f101(f916(x39181,a904)),x39182),f37(f916(x39181,a904),x39183)))
% 201.98/201.92 [3920]E(f169(x39201,f844(f189(f909(x39201)),f844(f136(x39201,f844(a324,x39202)),x39203)),x39202),f844(f136(x39201,f844(a324,x39202)),x39203))
% 201.98/201.92 [3922]E(f844(f844(f3(a908),f844(f844(f80(a908),x39221),x39222)),f844(f844(f80(a908),x39223),x39222)),f844(f844(f80(a908),f844(f844(f3(a908),x39221),x39223)),x39222))
% 201.98/201.92 [3923]E(f844(f844(f79(a908),f844(f844(f80(a908),x39231),x39232)),f844(f844(f80(a908),x39233),x39232)),f844(f844(f80(a908),f844(f844(f79(a908),x39231),x39233)),x39232))
% 201.98/201.92 [3924]E(f844(f844(f3(a1),f844(f844(f80(a1),x39241),x39242)),f844(f844(f80(a1),x39243),x39242)),f844(f844(f80(a1),f844(f844(f3(a1),x39241),x39243)),x39242))
% 201.98/201.92 [3925]E(f844(f844(f79(a1),f844(f844(f80(a1),x39251),x39252)),f844(f844(f80(a1),x39253),x39252)),f844(f844(f80(a1),f844(f844(f79(a1),x39251),x39253)),x39252))
% 201.98/201.92 [3927]E(f844(f844(f232(a908),f844(f844(f3(a908),x39271),x39272)),f844(f844(f3(a908),x39273),x39272)),f844(f844(f3(a908),f844(f844(f232(a908),x39271),x39273)),x39272))
% 201.98/201.92 [3948]E(f844(f844(f101(f916(f909(x39481),a904)),f160(x39481,x39482)),f160(x39481,x39483)),f160(x39481,f844(f844(f101(f916(x39481,a904)),x39482),x39483)))
% 201.98/201.92 [3951]E(f844(f844(f110(f916(x39511,a904)),x39512),f844(f844(f110(f916(x39511,a904)),x39512),x39513)),f844(f844(f110(f916(x39511,a904)),x39512),x39513))
% 201.98/201.92 [3952]E(f844(f844(f110(f916(x39521,a904)),x39522),f844(f844(f3(f916(x39521,a904)),x39523),x39522)),f844(f844(f110(f916(x39521,a904)),x39522),x39523))
% 201.98/201.92 [3953]E(f844(f844(f101(f916(x39531,a904)),x39532),f844(f844(f101(f916(x39531,a904)),x39532),x39533)),f844(f844(f101(f916(x39531,a904)),x39532),x39533))
% 201.98/201.92 [3965]E(f844(f844(f288(x39651,x39652,x39652),x39653),f306(x39652,f188(f916(f915(x39652,x39652),a904)))),x39653)
% 201.98/201.92 [3968]E(f844(f844(f110(f916(x39681,a904)),f844(f844(f308(x39681),x39682),f188(f916(x39681,a904)))),x39683),f844(f844(f308(x39681),x39682),x39683))
% 201.98/201.92 [3987]E(f844(f844(f3(a908),f844(f844(f3(a908),f844(a112,x39871)),x39872)),f844(a112,x39873)),f844(f844(f3(a908),f844(f844(f3(a908),x39871),x39872)),x39873))
% 201.98/201.92 [4015]E(f844(f844(f101(f916(f916(x40151,a904),a904)),f844(f307(x40151),x40152)),f844(f307(x40151),x40153)),f844(f307(x40151),f844(f844(f101(f916(x40151,a904)),x40152),x40153)))
% 201.98/201.92 [4018]E(f844(f844(f110(f916(x40181,a904)),f844(f78(f916(x40181,a904)),x40182)),x40183),f844(f78(f916(x40181,a904)),f844(f844(f3(f916(x40181,a904)),x40182),x40183)))
% 201.98/201.92 [4028]E(f844(f844(f308(x40281),x40282),f844(f844(f3(f916(x40281,a904)),x40283),f844(f844(f308(x40281),x40282),f188(f916(x40281,a904))))),f844(f844(f308(x40281),x40282),x40283))
% 201.98/201.92 [4040]P105(f844(f844(f234(f916(x40401,a904)),x40402),f844(f844(f110(f916(x40401,a904)),x40403),x40402)))
% 201.98/201.92 [4041]P105(f844(f844(f234(f916(x40411,a904)),x40412),f844(f844(f110(f916(x40411,a904)),x40412),x40413)))
% 201.98/201.92 [4045]E(f844(f844(f101(f916(x40451,a904)),f844(f78(f916(x40451,a904)),x40452)),f844(f78(f916(x40451,a904)),x40453)),f844(f78(f916(x40451,a904)),f844(f844(f110(f916(x40451,a904)),x40452),x40453)))
% 201.98/201.92 [4046]E(f844(f844(f110(f916(x40461,a904)),f844(f78(f916(x40461,a904)),x40462)),f844(f78(f916(x40461,a904)),x40463)),f844(f78(f916(x40461,a904)),f844(f844(f101(f916(x40461,a904)),x40462),x40463)))
% 201.98/201.92 [4060]P105(f844(f844(f234(f916(x40601,a904)),f844(f172(x40601),x40602)),f844(f172(x40601),f844(f844(f151(x40601),x40603),x40602))))
% 201.98/201.92 [4072]E(f844(f844(f110(f916(x40721,a904)),f844(f844(f3(f916(x40721,a904)),x40722),x40723)),f844(f844(f101(f916(x40721,a904)),x40722),x40723)),x40722)
% 201.98/201.92 [4122]E(f844(f844(f8(x41221,a1),f844(f844(f10(a908,a1,x41221),f100(a1)),x41222)),x41223),f844(f100(a1),f844(f844(f8(x41221,a908),x41222),x41223)))
% 201.98/201.92 [4123]E(f844(f844(f11(x41231,a1),f844(f844(f10(a908,a1,x41231),f100(a1)),x41232)),x41233),f844(f100(a1),f844(f844(f11(x41231,a908),x41232),x41233)))
% 201.98/201.92 [4170]E(f844(f844(f134(x41701),f177(x41701,x41702,x41703)),f844(f844(f138(x41701),f844(f189(f909(x41701)),f177(x41701,x41702,x41703))),x41703)),x41703)
% 201.98/201.92 [4174]E(f844(f78(f916(f915(x41741,x41742),a904)),f844(f844(f253(x41741,x41742),x41743),f844(f18(f916(x41742,a904),x41741),f241(f916(x41742,a904))))),f844(f844(f253(x41741,x41742),f844(f78(f916(x41741,a904)),x41743)),f844(f18(f916(x41742,a904),x41741),f241(f916(x41742,a904)))))
% 201.98/201.92 [4175]E(f844(f78(f916(f915(x41751,x41752),a904)),f844(f844(f253(x41751,x41752),f241(f916(x41751,a904))),f844(f18(f916(x41752,a904),x41751),x41753))),f844(f844(f253(x41751,x41752),f241(f916(x41751,a904))),f844(f18(f916(x41752,a904),x41751),f844(f78(f916(x41752,a904)),x41753))))
% 201.98/201.92 [4226]E(f844(f844(f39(f916(x42261,a904),f916(x42261,a904)),x42262),f844(f844(f9(f916(x42261,a904),f916(x42261,a904),f916(x42261,a904)),f101(f916(x42261,a904))),x42263)),f844(f844(f101(f916(x42261,a904)),f36(f916(x42261,a904),x42262)),x42263))
% 201.98/201.92 [4232]E(f844(f142(f909(x42321),f909(x42321),f134(x42321),f113(x42321)),f844(f844(f151(f909(x42321)),x42322),x42323)),f844(f844(f134(x42321),x42322),f844(f142(f909(x42321),f909(x42321),f134(x42321),f113(x42321)),x42323)))
% 201.98/201.92 [4253]E(f844(f844(f308(f916(x42531,a904)),f844(f284(x42531,x42531,x42532),f844(f844(f308(x42531),x42533),f188(f916(x42531,a904))))),f188(f916(f916(x42531,a904),a904))),f844(f844(f59(x42531),f844(f844(f308(x42531),x42533),f188(f916(x42531,a904)))),x42532))
% 201.98/201.92 [4263]E(f844(f844(f79(a908),f844(f844(f80(a908),x42631),f844(f844(f35(a908),x42632),x42633))),f844(f844(f35(a908),f844(f844(f80(a908),x42631),f44(a908,x42632,x42633))),x42633)),f844(f844(f35(a908),f844(f844(f80(a908),x42631),x42632)),x42633))
% 201.98/201.92 [4264]E(f844(f844(f79(a1),f844(f844(f80(a1),x42641),f844(f844(f35(a1),x42642),x42643))),f844(f844(f35(a1),f844(f844(f80(a1),x42641),f44(a1,x42642,x42643))),x42643)),f844(f844(f35(a1),f844(f844(f80(a1),x42641),x42642)),x42643))
% 201.98/201.92 [4299]E(f844(f844(f3(f916(x42991,a904)),f844(f172(x42991),x42992)),f844(f844(f308(x42991),x42993),f188(f916(x42991,a904)))),f844(f172(x42991),f844(f136(x42991,f844(f844(f10(a904,a904,x42991),a321),f844(a324,x42993))),x42992)))
% 201.98/201.92 [4349]E(f844(f844(f134(x43491),f844(f142(f909(x43491),f909(x43491),f134(x43491),f113(x43491)),x43492)),f844(f142(f909(x43491),f909(x43491),f134(x43491),f113(x43491)),x43493)),f844(f142(f909(x43491),f909(x43491),f134(x43491),f113(x43491)),f844(f844(f134(f909(x43491)),x43492),x43493)))
% 201.98/201.92 [4352]E(f844(f844(f251(f909(x43521),f909(x43521)),f844(f136(x43521,x43522),x43523)),f844(f136(x43521,f844(f72(a904,a904,x43521,a321),x43522)),x43523)),f166(x43521,x43522,x43523))
% 201.98/201.92 [4355]E(f844(f844(f79(a908),f844(f844(f79(a908),f844(f844(f35(a908),x43551),x43552)),f844(f844(f35(a908),x43553),x43552))),f844(f844(f35(a908),f844(f844(f79(a908),f44(a908,x43551,x43552)),f44(a908,x43553,x43552))),x43552)),f844(f844(f35(a908),f844(f844(f79(a908),x43551),x43553)),x43552))
% 201.98/201.92 [4356]E(f844(f844(f79(a1),f844(f844(f79(a1),f844(f844(f35(a1),x43561),x43562)),f844(f844(f35(a1),x43563),x43562))),f844(f844(f35(a1),f844(f844(f79(a1),f44(a1,x43561,x43562)),f44(a1,x43563,x43562))),x43562)),f844(f844(f35(a1),f844(f844(f79(a1),x43561),x43563)),x43562))
% 201.98/201.92 [4409]E(f844(f844(f101(f916(f909(x44091),a904)),f844(f844(f9(f909(x44091),f916(f909(x44091),a904),a904),f328(f909(x44091))),f161(x44091,x44092))),f844(f844(f9(f909(x44091),f916(f909(x44091),a904),a904),f328(f909(x44091))),f161(x44091,x44093))),f160(x44091,f844(f844(f101(f916(x44091,a904)),f844(f844(f9(x44091,f916(x44091,a904),a904),f328(x44091)),x44092)),f844(f844(f9(x44091,f916(x44091,a904),a904),f328(x44091)),x44093))))
% 201.98/201.92 [4421]E(f844(f261(x44211),f844(f844(f20(x44211,a904,a904),f844(f844(f10(a904,f916(a904,a904),x44211),a326),f844(f844(f9(x44211,x44211,a904),a324),x44212))),f844(f844(f9(x44211,f916(x44211,a904),a904),f328(x44211)),x44213))),f844(f844(f308(x44211),x44212),x44213))
% 201.98/201.92 [4441]E(f844(f844(f85(f909(f909(x44411)),f909(f909(x44411))),f53(x44411,x44412)),f844(f844(f20(f909(f909(x44411)),f909(f909(x44411)),f909(f909(x44411))),f844(f844(f10(f909(f909(x44411)),f916(f909(f909(x44411)),f909(f909(x44411))),f909(f909(x44411))),f134(f909(x44411))),f844(f154(f909(x44411),f909(x44411)),f844(f151(x44411),x44413)))),f7(f909(f909(x44411))))),f53(x44411,f844(f844(f151(x44411),x44413),x44412)))
% 201.98/201.92 [4444]E(f844(f261(x44441),f844(f844(f20(x44441,a904,a904),f844(f844(f10(a904,f916(a904,a904),x44441),a326),f844(f844(f9(x44441,f916(x44441,a904),a904),f328(x44441)),x44442))),f844(f844(f9(x44441,f916(x44441,a904),a904),f328(x44441)),x44443))),f844(f844(f110(f916(x44441,a904)),x44442),x44443))
% 201.98/201.92 [4445]E(f844(f261(x44451),f844(f844(f20(x44451,a904,a904),f844(f844(f10(a904,f916(a904,a904),x44451),a325),f844(f844(f9(x44451,f916(x44451,a904),a904),f328(x44451)),x44452))),f844(f844(f9(x44451,f916(x44451,a904),a904),f328(x44451)),x44453))),f844(f844(f101(f916(x44451,a904)),x44452),x44453))
% 201.98/201.92 [4534]E(f844(f844(f39(x45341,f916(f916(x45341,a904),a904)),x45342),f844(f844(f9(x45341,f916(f916(x45341,a904),a904),f916(f916(x45341,a904),a904)),f844(f844(f10(f916(x45341,a904),f916(f916(f916(x45341,a904),a904),f916(f916(x45341,a904),a904)),x45341),f308(f916(x45341,a904))),f844(f844(f10(f916(x45341,a904),f916(x45341,a904),x45341),f284(x45341,x45341,x45343)),f844(f844(f9(x45341,f916(x45341,a904),f916(x45341,a904)),f308(x45341)),f188(f916(x45341,a904)))))),f188(f916(f916(x45341,a904),a904)))),f844(f844(f59(x45341),x45342),x45343))
% 201.98/201.92 [4536]E(f844(f844(f201(x45361),f844(f844(f80(a1),f844(f844(f72(f915(a1,a1),a1,x45361,f250(a1,a1)),f212(x45361)),x45362)),f844(f844(f72(f915(a1,a1),a1,x45361,f250(a1,a1)),f212(x45361)),x45363))),f844(f844(f80(a1),f844(f844(f72(f915(a1,a1),a1,x45361,f255(a1,a1)),f212(x45361)),x45362)),f844(f844(f72(f915(a1,a1),a1,x45361,f255(a1,a1)),f212(x45361)),x45363))),f228(x45361,x45362,x45363))
% 201.98/201.92 [4539]E(f844(f261(f909(x45391)),f844(f844(f20(f909(x45391),a904,a904),f844(f844(f10(a904,f916(a904,a904),f909(x45391)),a325),f844(f844(f9(f909(x45391),a908,a904),f844(f844(f10(a908,f916(a908,a904),f909(x45391)),a324),f189(f909(x45391)))),x45392))),f844(f844(f9(f909(x45391),f916(x45391,a904),a904),f844(f844(f10(f916(x45391,a904),f916(f916(x45391,a904),a904),f909(x45391)),f234(f916(x45391,a904))),f172(x45391))),f844(f172(x45391),x45393)))),f844(f172(f909(x45391)),f54(x45391,x45392,x45393)))
% 201.98/201.92 [3941]E(f44(a908,f844(f844(f79(a908),f844(f844(f80(a908),x39411),x39412)),x39413),x39412),f44(a908,x39413,x39412))
% 201.98/201.92 [3986]E(f139(a908,f844(f301(a908,f844(f844(f79(a908),x39861),x39862)),x39863)),f844(f844(f138(a908),x39862),f139(a908,f844(f301(a908,x39861),x39863))))
% 201.98/201.92 [4027]E(f844(f844(f79(a1),f844(f100(a1),x40271)),f844(f844(f79(a1),f844(f100(a1),x40272)),x40273)),f844(f844(f79(a1),f844(f100(a1),f844(f844(f79(a908),x40271),x40272))),x40273))
% 201.98/201.92 [4036]E(f844(f844(f110(f916(x40361,a904)),f844(f844(f3(f916(x40361,a904)),x40362),x40363)),x40363),f844(f844(f110(f916(x40361,a904)),x40362),x40363))
% 201.98/201.92 [4037]E(f844(f844(f3(f916(x40371,a904)),f844(f844(f3(f916(x40371,a904)),x40372),x40373)),x40373),f844(f844(f3(f916(x40371,a904)),x40372),x40373))
% 201.98/201.92 [4061]E(f844(f844(f288(x40611,x40611,x40612),f306(x40611,f188(f916(f915(x40611,x40611),a904)))),x40613),x40613)
% 201.98/201.92 [4069]E(f844(f844(f110(f916(x40691,a904)),f844(f280(x40691),x40692)),f844(f280(x40691),x40693)),f844(f280(x40691),f844(f844(f110(f916(f915(x40691,x40691),a904)),x40692),x40693)))
% 201.98/201.92 [4079]E(f265(x40791,f844(f844(f151(f915(a99,x40791)),f844(f844(f251(a99,x40791),f2(a99)),x40792)),x40793)),f265(x40791,x40793))
% 201.98/201.92 [4081]E(f844(f844(f110(f916(x40811,a904)),f36(f916(x40811,a904),x40812)),f36(f916(x40811,a904),x40813)),f36(f916(x40811,a904),f844(f844(f110(f916(f916(x40811,a904),a904)),x40812),x40813)))
% 201.98/201.92 [4082]E(f844(f844(f101(f916(x40821,a904)),f37(f916(x40821,a904),x40822)),f37(f916(x40821,a904),x40823)),f37(f916(x40821,a904),f844(f844(f110(f916(f916(x40821,a904),a904)),x40822),x40823)))
% 201.98/201.92 [4119]E(f844(f844(f288(x41191,x41191,x41191),f844(f844(f183(f915(x41191,x41191),a904),x41192),x41193)),x41193),f844(f844(f183(f915(x41191,x41191),a904),f844(a112,x41192)),x41193))
% 201.98/201.92 [4162]P105(f844(f844(f234(f916(x41621,a904)),f844(f844(f3(f916(x41621,a904)),x41622),x41623)),x41622))
% 201.98/201.92 [4163]P105(f844(f844(f234(f916(x41631,a904)),f844(f844(f101(f916(x41631,a904)),x41632),x41633)),x41633))
% 201.98/201.92 [4164]P105(f844(f844(f234(f916(x41641,a904)),f844(f844(f101(f916(x41641,a904)),x41642),x41643)),x41642))
% 201.98/201.92 [4188]E(f306(x41881,f844(f844(f110(f916(f915(x41881,x41881),a904)),f306(x41881,x41882)),f306(x41881,x41883))),f306(x41881,f844(f844(f110(f916(f915(x41881,x41881),a904)),x41882),x41883)))
% 201.98/201.92 [4192]E(f36(f916(x41921,a904),f844(f844(f308(f916(x41921,a904)),x41922),f844(f844(f308(f916(x41921,a904)),x41923),f188(f916(f916(x41921,a904),a904))))),f844(f844(f110(f916(x41921,a904)),x41922),x41923))
% 201.98/201.92 [4193]E(f37(f916(x41931,a904),f844(f844(f308(f916(x41931,a904)),x41932),f844(f844(f308(f916(x41931,a904)),x41933),f188(f916(f916(x41931,a904),a904))))),f844(f844(f101(f916(x41931,a904)),x41932),x41933))
% 201.98/201.92 [4198]E(f844(f844(f288(x41981,x41981,x41981),f844(f844(f183(f915(x41981,x41981),a904),x41982),x41983)),x41983),f844(f844(f288(x41981,x41981,x41981),x41983),f844(f844(f183(f915(x41981,x41981),a904),x41982),x41983)))
% 201.98/201.92 [4267]E(f844(f844(f110(f916(x42671,a904)),f844(f261(x42671),f844(f844(f9(x42671,x42671,a904),a324),x42672))),x42673),f844(f844(f308(x42671),x42672),x42673))
% 201.98/201.92 [4270]E(f844(a104,f844(f844(f8(x42701,a1),f844(f844(f10(a908,a1,x42701),f100(a1)),x42702)),x42703)),f844(f844(f8(x42701,a908),x42702),x42703))
% 201.98/201.92 [4271]E(f844(a104,f844(f844(f11(x42711,a1),f844(f844(f10(a908,a1,x42711),f100(a1)),x42712)),x42713)),f844(f844(f11(x42711,a908),x42712),x42713))
% 201.98/201.92 [4346]E(f844(f156(f909(x43461),x43461,f844(f171(x43461),x43462),f844(f18(f916(f909(x43461),f909(x43461)),x43461),f844(f844(f9(f909(x43461),f909(x43461),f909(x43461)),f134(x43461)),x43462))),x43463),f844(f171(x43461),f844(f844(f134(x43461),x43463),x43462)))
% 201.98/201.92 [4374]P105(f844(f844(f234(f916(f916(x43741,a904),a904)),f844(f844(f110(f916(f916(x43741,a904),a904)),f844(f307(x43741),x43742)),f844(f307(x43741),x43743))),f844(f307(x43741),f844(f844(f110(f916(x43741,a904)),x43742),x43743))))
% 201.98/201.92 [4463]E(f844(f261(x44631),f844(f844(f20(x44631,a904,a904),f844(f844(f10(a904,f916(a904,a904),x44631),a325),f844(f844(f9(x44631,f916(x44631,a904),a904),f328(x44631)),x44632))),f844(f844(f10(a904,a904,x44631),a321),f844(f844(f9(x44631,f916(x44631,a904),a904),f328(x44631)),x44633)))),f844(f844(f3(f916(x44631,a904)),x44632),x44633))
% 201.98/201.92 [4487]E(f844(f34(a908),f844(f261(a908),f844(f844(f20(a908,a904,a904),f844(f844(f10(a904,f916(a904,a904),a908),a325),f844(f844(f9(a908,a908,a904),f235(a908)),f844(f189(f909(x44871)),x44872)))),f844(f844(f10(x44871,a904,a908),x44873),f844(f164(x44871),x44872))))),f844(f189(f909(x44871)),f844(f136(x44871,x44873),x44872)))
% 201.98/201.92 [4489]E(f844(f189(f909(x44891)),f176(x44891,x44892,x44893)),f844(f34(a908),f844(f261(a908),f844(f844(f20(a908,a904,a904),f844(f844(f10(a904,f916(a904,a904),a908),a325),f844(f844(f9(a908,a908,a904),f235(a908)),f844(f189(f909(x44891)),x44892)))),f844(f844(f9(a908,f916(a908,a904),a904),f328(a908)),x44893)))))
% 201.98/201.92 [4585]E(f844(f844(f101(f916(f915(f909(x45851),f909(x45851)),a904)),f844(f309(f915(f915(x45851,f909(x45851)),f915(x45851,f909(x45851))),f915(f909(x45851),f909(x45851)),f257(f915(x45851,f909(x45851)),f909(x45851),f915(x45851,f909(x45851)),f909(x45851),f844(f256(x45851,f909(x45851),f909(x45851)),f151(x45851)),f844(f256(x45851,f909(x45851),f909(x45851)),f151(x45851)))),f318(x45851,f909(x45851),x45852,f844(f143(x45851,x45852),x45853)))),f844(f261(f915(f909(x45851),f909(x45851))),f844(f256(f909(x45851),f909(x45851),a904),f844(f844(f9(f909(x45851),f916(f909(x45851),a904),f916(f909(x45851),a904)),f844(f844(f10(f916(a904,a904),f916(f916(f909(x45851),a904),f916(f909(x45851),a904)),f909(x45851)),f10(a904,a904,f909(x45851))),f844(f844(f10(a904,f916(a904,a904),f909(x45851)),a325),f844(f844(f9(f909(x45851),a908,a904),f844(f844(f10(a908,f916(a908,a904),f909(x45851)),a324),f189(f909(x45851)))),f844(a112,x45853))))),f844(f844(f9(f909(x45851),a908,a904),f844(f844(f10(a908,f916(a908,a904),f909(x45851)),a324),f189(f909(x45851)))),f844(a112,x45853)))))),f844(f143(x45851,x45852),f844(a112,x45853)))
% 201.98/201.92 [4083]E(f44(a908,f844(a112,f844(f844(f79(a908),f844(f844(f80(a908),x40831),x40832)),x40833)),x40832),f44(a908,f844(a112,x40833),x40832))
% 201.98/201.92 [4332]E(f844(f261(x43321),f844(f844(f20(x43321,a904,a904),f844(f844(f10(a904,f916(a904,a904),x43321),a325),x43322)),x43323)),f844(f844(f101(f916(x43321,a904)),f844(f261(x43321),x43322)),f844(f261(x43321),x43323)))
% 201.98/201.92 [4333]E(f844(f261(x43331),f844(f844(f20(x43331,a904,a904),f844(f844(f10(a904,f916(a904,a904),x43331),a326),x43332)),x43333)),f844(f844(f110(f916(x43331,a904)),f844(f261(x43331),x43332)),f844(f261(x43331),x43333)))
% 201.98/201.92 [4335]E(f844(f844(f134(x43351),f844(f844(f138(x43351),f44(a908,x43352,f844(f189(f909(x43351)),x43353))),x43353)),f844(f844(f175(x43351),f44(a908,x43352,f844(f189(f909(x43351)),x43353))),x43353)),f844(f844(f844(f183(f909(x43351),f909(x43351)),x43352),f167(x43351)),x43353))
% 201.98/201.92 [4341]E(f844(f261(x43411),f844(f844(f20(x43411,a904,a904),f844(f844(f10(a904,f916(a904,a904),x43411),a329),x43412)),x43413)),f844(f844(f110(f916(x43411,a904)),f844(f78(f916(x43411,a904)),f844(f261(x43411),x43412))),f844(f261(x43411),x43413)))
% 201.98/201.92 [4357]E(f844(f844(f79(a908),f844(f189(f909(x43571)),f844(f136(x43571,x43572),x43573))),f844(f189(f909(x43571)),f844(f136(x43571,f844(f844(f10(a904,a904,x43571),a321),x43572)),x43573))),f844(f189(f909(x43571)),x43573))
% 201.98/201.92 [4380]P105(f844(f844(f234(f916(x43801,a904)),f844(f844(f110(f916(x43801,a904)),f37(f916(x43801,a904),x43802)),f37(f916(x43801,a904),x43803))),f37(f916(x43801,a904),f844(f844(f101(f916(f916(x43801,a904),a904)),x43802),x43803))))
% 201.98/201.92 [4394]E(f844(f172(x43941),f844(f136(x43941,f844(f844(f10(a904,a904,x43941),a321),f844(f844(f9(x43941,x43941,a904),a324),x43942))),x43943)),f844(f844(f3(f916(x43941,a904)),f844(f172(x43941),x43943)),f844(f844(f308(x43941),x43942),f188(f916(x43941,a904)))))
% 201.98/201.92 [4403]P105(f844(f844(f234(f916(f915(x44031,x44031),a904)),f844(f844(f110(f916(f915(x44031,x44031),a904)),f306(x44031,x44032)),f306(x44031,x44033))),f306(x44031,f844(f844(f110(f916(f915(x44031,x44031),a904)),x44032),x44033))))
% 201.98/201.92 [4426]E(f844(f844(f80(a908),f844(a112,f844(a112,f2(a908)))),f844(f844(f8(a908,a908),f844(f844(f10(a908,a908,a908),f844(f79(a908),x44261)),f844(f844(f9(a908,a908,a908),f80(a908)),x44262))),f844(f281(a908),x44263))),f844(f844(f80(a908),x44263),f844(f844(f79(a908),x44261),f844(f844(f79(a908),x44261),f844(f844(f80(a908),f844(f844(f3(a908),x44263),f77(a908))),x44262)))))
% 201.98/201.92 [4436]E(f844(f261(x44361),f844(f844(f20(x44361,a904,a904),f844(f844(f10(a904,f916(a904,a904),x44361),a325),f844(f844(f9(x44361,f916(x44361,a904),a904),f328(x44361)),f844(f172(x44361),x44362)))),x44363)),f844(f172(x44361),f844(f136(x44361,x44363),x44362)))
% 201.98/201.92 [4584]E(f844(f261(x45841),f844(f844(f10(f916(a908,a904),a904,x45841),f86(a908)),f844(f844(f9(x45841,f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),x45841),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),x45841),f844(f10(a904,f916(a904,a904),a908),a325)),f844(f844(f9(x45841,f916(a908,x45841),f916(a908,a904)),f844(f844(f10(f916(x45841,a904),f916(f916(a908,x45841),f916(a908,a904)),x45841),f10(x45841,a904,a908)),a324)),f844(f164(x45841),x45842))))),f844(f844(f20(a908,a904,a904),f844(f844(f10(a904,f916(a904,a904),a908),a325),f844(f844(f9(a908,a908,a904),f235(a908)),f844(f189(f909(x45841)),x45842)))),f844(f844(f9(a908,f916(a908,a904),a904),f328(a908)),x45843))))),f844(f172(x45841),f176(x45841,x45842,x45843)))
% 201.98/201.92 [4476]E(f844(f261(x44761),f844(f844(f20(x44761,a904,a904),f844(f844(f10(a904,f916(a904,a904),x44761),a329),f844(f844(f10(a904,a904,x44761),a321),f844(f844(f9(x44761,x44761,a904),a324),x44762)))),x44763)),f844(f844(f308(x44761),x44762),f844(f261(x44761),x44763)))
% 201.98/201.92 [4508]E(f844(f844(f154(f915(x45081,a908),x45081),f250(x45081,a908)),f844(f136(f915(x45081,a908),f844(f844(f9(f915(x45081,a908),f916(a908,a904),a904),f844(f844(f10(a908,f916(f916(a908,a904),a904),f915(x45081,a908)),f328(a908)),f255(x45081,a908))),x45082)),f844(f844(f181(x45081,a908),x45083),f139(a908,f844(f301(a908,f2(a908)),f844(f189(f909(x45081)),x45083)))))),f176(x45081,x45083,x45082))
% 201.98/201.92 [4535]E(f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f844(f8(a908,a1),f844(f844(f10(a1,a1,a908),f844(f79(a1),x45351)),f844(f844(f9(a908,a1,a1),f844(f844(f10(a1,f916(a1,a1),a908),f80(a1)),f100(a1))),x45352))),f844(f281(a908),x45353))),f844(f844(f80(a1),f844(f100(a1),x45353)),f844(f844(f79(a1),x45351),f844(f844(f79(a1),x45351),f844(f844(f80(a1),f844(f100(a1),f844(f844(f3(a908),x45353),f77(a908)))),x45352)))))
% 201.98/201.92 [4577]E(f844(f261(f915(x45771,x45772)),f844(f256(x45771,x45772,a904),f844(f844(f9(x45771,f916(f915(x45772,x45771),a904),f916(x45772,a904)),f844(f844(f10(f916(x45772,f916(f916(f915(x45772,x45771),a904),a904)),f916(f916(f915(x45772,x45771),a904),f916(x45772,a904)),x45771),f9(x45772,f916(f915(x45772,x45771),a904),a904)),f844(f844(f10(f916(x45772,f915(x45772,x45771)),f916(x45772,f916(f916(f915(x45772,x45771),a904),a904)),x45771),f844(f10(f915(x45772,x45771),f916(f916(f915(x45772,x45771),a904),a904),x45772),f328(f915(x45772,x45771)))),f844(f9(x45772,x45771,f915(x45772,x45771)),f251(x45772,x45771))))),x45773))),f844(f285(x45772,x45771),x45773))
% 201.98/201.92 [4597]E(f844(f261(f909(x45971)),f844(f844(f10(f916(x45971,a904),a904,f909(x45971)),f86(x45971)),f844(f844(f10(f916(x45971,f916(f909(x45971),a904)),f916(x45971,a904),f909(x45971)),f844(f10(f916(f909(x45971),a904),a904,x45971),f86(f909(x45971)))),f844(f844(f9(f909(x45971),f916(x45971,f916(f909(x45971),a904)),f916(x45971,f916(f909(x45971),a904))),f844(f844(f10(f916(x45971,f916(f916(f909(x45971),a904),f916(f909(x45971),a904))),f916(f916(x45971,f916(f909(x45971),a904)),f916(x45971,f916(f909(x45971),a904))),f909(x45971)),f20(x45971,f916(f909(x45971),a904),f916(f909(x45971),a904))),f844(f844(f10(f916(x45971,f916(f909(x45971),f916(a904,a904))),f916(x45971,f916(f916(f909(x45971),a904),f916(f909(x45971),a904))),f909(x45971)),f844(f10(f916(f909(x45971),f916(a904,a904)),f916(f916(f909(x45971),a904),f916(f909(x45971),a904)),x45971),f20(f909(x45971),a904,a904))),f844(f844(f10(f916(x45971,f916(f909(x45971),a904)),f916(x45971,f916(f909(x45971),f916(a904,a904))),f909(x45971)),f844(f10(f916(f909(x45971),a904),f916(f909(x45971),f916(a904,a904)),x45971),f844(f10(a904,f916(a904,a904),f909(x45971)),a325))),f844(f844(f9(f909(x45971),f916(x45971,f916(f909(x45971),f909(x45971))),f916(x45971,f916(f909(x45971),a904))),f844(f844(f10(f916(f916(f909(x45971),f909(x45971)),f916(f909(x45971),a904)),f916(f916(x45971,f916(f909(x45971),f909(x45971))),f916(x45971,f916(f909(x45971),a904))),f909(x45971)),f10(f916(f909(x45971),f909(x45971)),f916(f909(x45971),a904),x45971)),f844(f844(f10(f916(f909(x45971),a904),f916(f916(f909(x45971),f909(x45971)),f916(f909(x45971),a904)),f909(x45971)),f10(f909(x45971),a904,f909(x45971))),a324))),f151(x45971)))))),f844(f844(f9(x45971,f916(f909(x45971),a904),f916(f909(x45971),a904)),f844(f844(f10(f916(a904,a904),f916(f916(f909(x45971),a904),f916(f909(x45971),a904)),x45971),f10(a904,a904,f909(x45971))),f844(f844(f10(a904,f916(a904,a904),x45971),a325),f844(f844(f9(x45971,f916(x45971,a904),a904),f328(x45971)),x45972)))),f844(f844(f9(f909(x45971),f916(f909(x45971),a904),a904),f328(f909(x45971))),x45973)))))),f174(x45971,x45972,x45973))
% 201.98/201.92 [4594]E(f844(f844(f85(a1,f915(a1,a1)),f844(f844(f3(a1),x45941),x45942)),f844(f844(f9(a1,f915(a1,a1),f915(a1,a1)),f844(f844(f20(a1,f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),f844(f844(f10(a904,f916(f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),a1),f96(f915(a1,a1))),f844(f234(a1),f2(a1)))),f844(f251(a1,a1),f844(f844(f79(a1),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x45943)),f77(a1))))),f844(f844(f251(a1,a1),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x45943)),x45941))),f844(f42(x45942),f844(f844(f251(a1,a1),x45943),x45941)))
% 201.98/201.92 [4617]~E(f29(x46171,x46172),f30(x46173,x46174))
% 201.98/201.92 [3638]E(f116(x36381,f844(x36382,x36383),f844(x36384,x36383)),f844(f203(x36381,x36382,x36384),x36383))
% 201.98/201.92 [3691]E(f844(f844(f244(x36911,x36912,x36913),x36914),f2(a908)),x36912)
% 201.98/201.92 [3730]E(f185(x37301,x37302,x37303,f844(a112,x37304)),f844(x37303,x37304))
% 201.98/201.92 [3771]E(f170(x37711,x37712,f170(x37711,x37713,x37714)),f170(x37711,x37713,f170(x37711,x37712,x37714)))
% 201.98/201.92 [3772]E(f126(x37721,x37722,f116(x37721,x37723,x37724)),f116(x37721,f126(x37721,x37722,x37723),x37724))
% 201.98/201.92 [3907]E(f844(f156(x39071,x39072,x39073,x39074),f113(x39072)),x39073)
% 201.98/201.92 [3908]E(f844(f142(x39081,x39082,x39083,x39084),f113(x39082)),x39084)
% 201.98/201.92 [3915]E(f844(f189(f907(x39151)),f91(x39151,x39152,x39153,x39154)),f2(a908))
% 201.98/201.92 [3947]E(f844(f189(f913(x39471,x39472)),f220(x39471,x39472,x39473,x39474)),f2(a908))
% 201.98/201.92 [3970]E(f844(f256(x39701,x39702,x39703),f254(x39701,x39702,x39703,x39704)),x39704)
% 201.98/201.92 [4014]E(f844(f844(f134(x40141),f169(x40141,x40142,x40143)),f169(x40141,x40144,x40143)),f844(f844(f134(x40141),f169(x40141,x40144,x40143)),f169(x40141,x40142,x40143)))
% 201.98/201.92 [4102]E(f844(f844(f258(x41021,x41022,x41023,f915(x41022,x41023)),x41024),f251(x41022,x41023)),x41024)
% 201.98/201.92 [4112]E(f127(x41121,x41122,x41123,x41124,f119(x41122)),x41123)
% 201.98/201.92 [4118]E(f74(x41181,x41182,x41183,x41184,f844(x41183,x41184)),x41183)
% 201.98/201.92 [4387]P41(x43871,x43872,x43873,x43874,f188(f916(x43871,a904)),x43874)
% 201.98/201.92 [3440]E(f844(f844(f18(x34401,x34402),x34403),x34404),x34403)
% 201.98/201.92 [3720]E(f170(x37201,x37202,f844(f136(x37201,x37203),x37204)),f844(f136(x37201,x37203),f170(x37201,x37202,x37204)))
% 201.98/201.92 [3754]E(f844(f844(f63(x37541,x37542,x37543),x37544),f188(f916(x37541,a904))),x37544)
% 201.98/201.92 [3778]E(f844(f844(f164(x37781),f844(f844(f151(x37781),x37782),x37783)),f844(a112,x37784)),f844(f844(f164(x37781),x37783),x37784))
% 201.98/201.92 [3846]E(f844(f844(x38461,x38462),f844(f184(x38463,x38464,x38461),x38462)),f844(f184(x38463,x38464,x38461),f844(a112,x38462)))
% 201.98/201.92 [3888]E(f254(x38881,x38882,x38883,f844(f256(x38881,x38882,x38883),x38884)),x38884)
% 201.98/201.92 [3945]E(f844(f844(f159(x39451,f844(f844(f151(x39451),x39452),x39453)),f2(a908)),x39454),f844(f844(f151(x39451),x39454),x39453))
% 201.98/201.92 [3955]E(f844(f844(f39(f916(x39551,a904),f916(x39552,a904)),x39553),f309(x39551,x39552,x39554)),f844(f309(x39551,x39552,x39554),f36(f916(x39551,a904),x39553)))
% 201.98/201.92 [3956]E(f844(f844(f39(f916(x39561,a904),f916(x39562,a904)),x39563),f310(x39562,x39561,x39564)),f844(f310(x39562,x39561,x39564),f36(f916(x39561,a904),x39563)))
% 201.98/201.92 [3981]E(f120(x39811,f130(x39812,f910(x39811),x39813,x39814)),f844(f118(x39812,x39811,x39814),x39813))
% 201.98/201.92 [4057]E(f844(f125(x40571,x40572),f126(x40571,x40573,x40574)),f844(f844(f79(a908),f844(f844(f79(a908),f844(x40572,x40573)),f844(f125(x40571,x40572),x40574))),f844(a112,f2(a908))))
% 201.98/201.92 [4078]E(f844(f142(x40781,x40782,f844(f9(x40782,x40781,x40781),x40783),x40784),f844(f168(x40782),f113(x40782))),x40784)
% 201.98/201.92 [4182]E(f223(x41821,f915(x41822,f910(x41822)),x41823,f844(f256(x41822,f910(x41822),x41821),x41824),f844(f135(x41822),f119(x41822))),x41823)
% 201.98/201.92 [4317]E(f844(f256(x43171,x43172,x43173),f844(f844(f10(f916(x43172,f915(x43171,x43172)),f916(x43172,x43173),x43171),f844(f10(f915(x43171,x43172),x43173,x43172),x43174)),f251(x43171,x43172))),x43174)
% 201.98/201.92 [3629]E(f844(f255(x36291,x36292),f844(f844(f251(x36291,x36292),x36293),x36294)),x36294)
% 201.98/201.92 [3630]E(f844(f250(x36301,x36302),f844(f844(f251(x36301,x36302),x36303),x36304)),x36303)
% 201.98/201.92 [3663]E(f844(f189(f909(x36631)),f844(f844(f159(x36631,x36632),x36633),x36634)),f844(f189(f909(x36631)),x36632))
% 201.98/201.92 [3664]E(f844(f189(f909(x36641)),f844(f844(f154(x36642,x36641),x36643),x36644)),f844(f189(f909(x36642)),x36644))
% 201.98/201.92 [3685]E(f844(f844(f138(x36851),f844(a112,x36852)),f844(f844(f151(x36851),x36853),x36854)),f844(f844(f138(x36851),x36852),x36854))
% 201.98/201.92 [3749]E(f844(f844(f175(x37491),x37492),f169(x37491,x37493,x37494)),f169(x37491,f844(f844(f232(a908),x37492),x37493),x37494))
% 201.98/201.92 [3750]E(f844(f844(f138(x37501),x37502),f169(x37501,x37503,x37504)),f169(x37501,f844(f844(f3(a908),x37503),x37502),x37504))
% 201.98/201.92 [3756]E(f844(f844(f308(x37561),x37562),f844(f844(f308(x37561),x37563),x37564)),f844(f844(f308(x37561),x37563),f844(f844(f308(x37561),x37562),x37564)))
% 201.98/201.92 [3760]E(f844(f844(f154(x37601,x37602),x37603),f114(x37601,x37604)),f114(x37602,f844(f844(f154(x37601,x37602),x37603),x37604)))
% 201.98/201.92 [3776]E(f844(f168(x37761),f844(f844(f154(x37762,x37761),x37763),x37764)),f844(f844(f154(x37762,x37761),x37763),f844(f168(x37762),x37764)))
% 201.98/201.92 [3777]E(f844(f844(f154(x37771,x37772),x37773),f844(f171(x37771),x37774)),f844(f171(x37772),f844(f844(f154(x37771,x37772),x37773),x37774)))
% 201.98/201.92 [3792]E(f844(f844(f175(x37921),f844(a112,x37922)),f844(f844(f151(x37921),x37923),x37924)),f844(f844(f151(x37921),x37923),f844(f844(f175(x37921),x37922),x37924)))
% 201.98/201.92 [3796]E(f844(f172(x37961),f844(f844(f154(x37962,x37961),x37963),x37964)),f844(f309(x37962,x37961,x37963),f844(f172(x37962),x37964)))
% 201.98/201.92 [3809]E(f844(f844(f154(x38091,x38092),f844(f18(x38092,x38091),x38093)),x38094),f169(x38092,f844(f189(f909(x38091)),x38094),x38093))
% 201.98/201.92 [3845]E(f19(x38451,x38452,x38453,f844(a5,f844(a112,f844(a22,x38454)))),f844(x38453,x38454))
% 201.98/201.92 [3849]E(f844(f844(f134(x38491),f844(f136(x38491,x38492),x38493)),f844(f136(x38491,x38492),x38494)),f844(f136(x38491,x38492),f844(f844(f134(x38491),x38493),x38494)))
% 201.98/201.92 [3862]E(f152(x38621,f844(f844(f154(x38622,x38621),x38623),f152(x38622,x38624))),f152(x38621,f844(f844(f154(x38622,x38621),x38623),x38624)))
% 201.98/201.92 [3877]E(f844(f285(x38771,x38771),f844(f844(f287(x38772,x38771),x38773),x38774)),f844(f844(f287(x38772,x38771),f844(f285(x38772,x38772),x38773)),x38774))
% 201.98/201.92 [3889]E(f844(f844(f288(x38891,x38892,x38893),x38894),f188(f916(f915(x38892,x38893),a904))),f188(f916(f915(x38891,x38893),a904)))
% 201.98/201.92 [3890]E(f844(f844(f175(x38901),f844(f844(f3(a908),x38902),x38903)),f844(f844(f138(x38901),x38903),x38904)),f844(f844(f138(x38901),x38903),f844(f844(f175(x38901),x38902),x38904)))
% 201.98/201.92 [3909]E(f844(f844(f134(x39091),f169(x39091,x39092,x39093)),f169(x39091,x39094,x39093)),f169(x39091,f844(f844(f79(a908),x39092),x39094),x39093))
% 201.98/201.92 [3910]E(f844(f844(f844(f277(x39101),x39102),x39103),x39104),f844(f251(f916(a99,f916(a904,f912(f910(x39101)))),f915(a99,a99)),f844(f41(x39101),x39102)))
% 201.98/201.92 [3938]E(f36(f916(x39381,a904),f844(f309(x39382,f916(x39381,a904),x39383),x39384)),f844(f844(f39(x39382,f916(x39381,a904)),x39384),x39383))
% 201.98/201.92 [3939]E(f37(f916(x39391,a904),f844(f309(x39392,f916(x39391,a904),x39393),x39394)),f844(f844(f38(x39392,f916(x39391,a904)),x39394),x39393))
% 201.98/201.92 [3940]E(f844(f189(f909(f915(x39401,x39402))),f844(f844(f181(x39401,x39402),x39403),x39404)),f844(f844(f232(a908),f844(f189(f909(x39401)),x39403)),f844(f189(f909(x39402)),x39404)))
% 201.98/201.92 [3942]E(f844(f310(x39421,x39422,x39423),f844(f78(f916(x39422,a904)),x39424)),f844(f78(f916(x39421,a904)),f844(f310(x39421,x39422,x39423),x39424)))
% 201.98/201.92 [3991]E(f844(f310(x39911,x39912,x39913),f844(f261(x39912),x39914)),f844(f261(x39911),f844(f844(f10(x39912,a904,x39911),x39914),x39913)))
% 201.98/201.92 [4009]E(f844(f844(f164(x40091),f844(f844(f134(x40091),x40092),f844(f844(f151(x40091),x40093),x40094))),f844(f189(f909(x40091)),x40092)),x40093)
% 201.98/201.92 [4034]E(f844(f309(x40341,x40342,x40343),f844(f310(x40341,x40342,x40343),x40344)),f844(f844(f101(f916(x40342,a904)),x40344),f844(f309(x40341,x40342,x40343),f241(f916(x40341,a904)))))
% 201.98/201.92 [4053]P105(f844(f844(f328(x40531),f844(x40532,x40533)),f844(f309(x40534,x40531,x40532),f241(f916(x40534,a904)))))
% 201.98/201.92 [4062]E(f21(x40621,x40622,x40623,f844(a5,f844(a112,f844(a22,x40624)))),f844(f844(x40623,x40624),f21(x40621,x40622,x40623,x40624)))
% 201.98/201.92 [4066]E(f844(f844(f134(x40661),f169(x40661,x40662,x40663)),f844(f844(f151(x40661),x40663),x40664)),f844(f844(f151(x40661),x40663),f844(f844(f134(x40661),f169(x40661,x40662,x40663)),x40664)))
% 201.98/201.92 [4068]E(f844(f844(f253(x40681,x40682),f844(f172(x40681),x40683)),f844(f18(f916(x40682,a904),x40681),f844(f172(x40682),x40684))),f844(f172(f915(x40681,x40682)),f58(x40681,x40682,x40683,x40684)))
% 201.98/201.92 [4080]E(f155(x40801,x40802,f844(f844(f151(x40801),x40803),x40804)),f844(f844(f79(a908),f844(f844(f79(a908),f844(x40802,x40803)),f155(x40801,x40802,x40804))),f844(a112,f2(a908))))
% 201.98/201.92 [4093]E(f185(f909(x40931),f844(f844(f151(x40931),x40932),x40933),f844(f844(f9(a908,f909(x40931),f909(x40931)),f138(x40931)),x40933),x40934),f844(f844(f138(x40931),x40934),f844(f844(f151(x40931),x40932),x40933)))
% 201.98/201.92 [4094]P24(x40941,f915(x40942,x40941),f330(x40943,x40944,x40942,x40941),f844(f844(f39(x40942,f916(x40941,a904)),x40944),x40943))
% 201.98/201.92 [4103]E(f844(f844(f3(f916(x41031,a904)),f844(f844(f3(f916(x41031,a904)),x41032),x41033)),f844(f844(f308(x41031),x41034),f188(f916(x41031,a904)))),f844(f844(f3(f916(x41031,a904)),x41032),f844(f844(f308(x41031),x41034),x41033)))
% 201.98/201.92 [4116]E(f844(f844(f183(f916(x41161,x41162),f916(x41161,x41162)),x41163),f72(x41162,x41162,x41161,x41164)),f72(x41162,x41162,x41161,f844(f844(f183(x41162,x41162),x41163),x41164)))
% 201.98/201.92 [4187]E(f844(f844(f844(f183(f909(x41871),f909(x41871)),x41872),f167(x41871)),f844(f844(f844(f183(f909(x41871),f909(x41871)),x41873),f167(x41871)),x41874)),f844(f844(f844(f183(f909(x41871),f909(x41871)),f844(f844(f79(a908),x41872),x41873)),f167(x41871)),x41874))
% 201.98/201.92 [4273]P105(f844(f844(f234(f916(x42731,a904)),f844(f172(x42731),f844(f844(f159(x42731,x42732),x42733),x42734))),f844(f844(f308(x42731),x42734),f844(f172(x42731),x42732))))
% 201.98/201.92 [4307]E(f844(f844(f39(f916(x43071,a904),f916(f915(x43071,x43072),a904)),x43073),f844(f844(f9(f916(x43071,a904),f916(x43071,f916(x43072,a904)),f916(f915(x43071,x43072),a904)),f253(x43071,x43072)),x43074)),f844(f844(f253(x43071,x43072),f36(f916(x43071,a904),x43073)),x43074))
% 201.98/201.92 [4345]E(f209(x43451,x43452,x43453,f844(f72(x43452,f916(a99,f916(a99,f916(f915(a99,a99),f916(a99,f910(x43452))))),x43451,f208(x43452)),x43454)),f210(x43451,x43452,x43454,x43453))
% 201.98/201.92 [4360]E(f205(x43601,x43602,x43603,f844(f72(x43602,f916(a99,f916(a99,f916(f915(a99,a99),f916(a99,f910(f912(x43602)))))),x43601,f204(x43602)),x43604)),f206(x43601,x43602,x43604,x43603))
% 201.98/201.92 [4365]P105(f844(f65(x43651,x43652,x43653,x43654,f188(f916(x43651,a904))),x43654))
% 201.98/201.92 [4404]E(f844(f844(f39(x44041,f916(x44042,a904)),x44043),f844(f844(f9(x44041,f916(x44042,a904),f916(x44042,a904)),f844(f844(f10(x44042,f916(f916(x44042,a904),f916(x44042,a904)),x44041),f308(x44042)),x44044)),f188(f916(x44042,a904)))),f844(f309(x44041,x44042,x44044),x44043))
% 201.98/201.92 [4411]P105(f844(f844(f234(f916(x44111,a904)),f844(f283(x44112,x44111),f844(f844(f101(f916(f915(x44112,x44111),a904)),x44113),x44114))),f844(f844(f101(f916(x44111,a904)),f844(f283(x44112,x44111),x44113)),f844(f283(x44112,x44111),x44114))))
% 201.98/201.92 [4412]P105(f844(f844(f234(f916(x44121,a904)),f844(f263(x44121,x44122),f844(f844(f101(f916(f915(x44121,x44122),a904)),x44123),x44124))),f844(f844(f101(f916(x44121,a904)),f844(f263(x44121,x44122),x44123)),f844(f263(x44121,x44122),x44124))))
% 201.98/201.92 [4472]P105(f844(f844(f234(f916(f915(x44721,x44722),a904)),f844(f309(x44722,f915(x44721,x44722),f330(x44723,x44724,x44721,x44722)),f844(f844(f39(x44721,f916(x44722,a904)),x44724),x44723))),f844(f844(f253(x44721,x44722),x44724),x44723)))
% 201.98/201.92 [4473]E(f844(f118(x44731,f915(x44731,x44732),x44733),f844(f844(f10(f916(x44732,f910(f915(x44731,x44732))),f910(f915(x44731,x44732)),x44731),f118(x44732,f915(x44731,x44732),x44734)),f844(f844(f10(f916(x44732,f915(x44731,x44732)),f916(x44732,f910(f915(x44731,x44732))),x44731),f844(f10(f915(x44731,x44732),f910(f915(x44731,x44732)),x44732),f129(f915(x44731,x44732)))),f251(x44731,x44732)))),f131(x44731,x44732,x44733,x44734))
% 201.98/201.92 [4474]E(f275(x44741,x44742,x44743,f844(f72(x44742,f916(a99,f916(a99,f916(f915(a99,a99),f915(f916(a99,f916(a904,f912(f910(x44742)))),f915(a99,a99))))),x44741,f277(x44742)),x44744)),f278(x44741,x44742,x44744,x44743))
% 201.98/201.92 [4514]E(f84(f915(x45141,x45142),f844(f256(x45141,x45142,a904),f844(f844(f9(x45141,f916(x45142,a904),f916(x45142,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x45142,a904),f916(x45142,a904)),x45141),f10(a904,a904,x45142)),f844(f844(f10(a904,f916(a904,a904),x45141),a325),f844(a324,x45143)))),f844(a324,x45144)))),f844(f844(f251(x45141,x45142),x45143),x45144))
% 201.98/201.92 [4515]E(f89(f915(x45151,x45152),f844(f256(x45151,x45152,a904),f844(f844(f9(x45151,f916(x45152,a904),f916(x45152,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x45152,a904),f916(x45152,a904)),x45151),f10(a904,a904,x45152)),f844(f844(f10(a904,f916(a904,a904),x45151),a325),f844(a324,x45153)))),f844(a324,x45154)))),f844(f844(f251(x45151,x45152),x45153),x45154))
% 201.98/201.92 [4586]E(f844(f844(f256(f909(x45861),f909(x45861),f915(f909(x45861),f909(x45861))),f844(f844(f20(f909(x45861),f916(f909(x45861),f915(f909(x45861),f909(x45861))),f916(f909(x45861),f915(f909(x45861),f909(x45861)))),f844(f844(f10(f916(f909(x45861),f916(f915(f909(x45861),f909(x45861)),f915(f909(x45861),f909(x45861)))),f916(f916(f909(x45861),f915(f909(x45861),f909(x45861))),f916(f909(x45861),f915(f909(x45861),f909(x45861)))),f909(x45861)),f20(f909(x45861),f915(f909(x45861),f909(x45861)),f915(f909(x45861),f909(x45861)))),f844(f844(f10(f916(f909(x45861),f915(f909(x45861),f909(x45861))),f916(f909(x45861),f916(f915(f909(x45861),f909(x45861)),f915(f909(x45861),f909(x45861)))),f909(x45861)),f844(f10(f915(f909(x45861),f909(x45861)),f916(f915(f909(x45861),f909(x45861)),f915(f909(x45861),f909(x45861))),f909(x45861)),f844(f96(f915(f909(x45861),f909(x45861))),f844(x45862,x45863)))),f844(f844(f10(f909(x45861),f916(f909(x45861),f915(f909(x45861),f909(x45861))),f909(x45861)),f251(f909(x45861),f909(x45861))),f844(f151(x45861),x45863))))),f844(f844(f9(f909(x45861),f916(f909(x45861),f909(x45861)),f916(f909(x45861),f915(f909(x45861),f909(x45861)))),f844(f844(f10(f916(f909(x45861),f915(f909(x45861),f909(x45861))),f916(f916(f909(x45861),f909(x45861)),f916(f909(x45861),f915(f909(x45861),f909(x45861)))),f909(x45861)),f10(f909(x45861),f915(f909(x45861),f909(x45861)),f909(x45861))),f251(f909(x45861),f909(x45861)))),f844(f151(x45861),x45863)))),f166(x45861,x45862,x45864)),f166(x45861,x45862,f844(f844(f151(x45861),x45863),x45864)))
% 201.98/201.92 [3825]E(f844(f844(f175(x38251),x38252),f844(f844(f175(x38251),x38253),x38254)),f844(f844(f175(x38251),f844(f844(f232(a908),x38252),x38253)),x38254))
% 201.98/201.92 [3826]E(f844(f844(f138(x38261),x38262),f844(f844(f138(x38261),x38263),x38264)),f844(f844(f138(x38261),f844(f844(f79(a908),x38262),x38263)),x38264))
% 201.98/201.92 [3837]E(f844(f844(f134(x38371),f844(f844(f151(x38371),x38372),x38373)),x38374),f844(f844(f151(x38371),x38372),f844(f844(f134(x38371),x38373),x38374)))
% 201.98/201.92 [3838]E(f844(f844(f134(x38381),f844(f844(f134(x38381),x38382),x38383)),x38384),f844(f844(f134(x38381),x38382),f844(f844(f134(x38381),x38383),x38384)))
% 201.98/201.92 [3921]E(f844(f844(f164(x39211),f844(f844(f151(x39211),x39212),x39213)),x39214),f185(x39211,x39212,f844(f164(x39211),x39213),x39214))
% 201.98/201.92 [3930]E(f844(f844(f183(x39301,x39301),x39302),f844(f844(f183(x39301,x39301),x39303),x39304)),f844(f844(f183(x39301,x39301),f844(f844(f80(a908),x39303),x39302)),x39304))
% 201.98/201.92 [3958]E(f844(f844(f110(f916(x39581,a904)),x39582),f844(f844(f308(x39581),x39583),x39584)),f844(f844(f308(x39581),x39583),f844(f844(f110(f916(x39581,a904)),x39582),x39584)))
% 201.98/201.92 [3973]E(f844(f844(f844(f183(x39731,x39731),x39732),x39733),f844(x39733,x39734)),f844(x39733,f844(f844(f844(f183(x39731,x39731),x39732),x39733),x39734)))
% 201.98/201.92 [3982]E(f844(f844(f288(x39821,x39822,x39823),f188(f916(f915(x39821,x39822),a904))),x39824),f188(f916(f915(x39821,x39823),a904)))
% 201.98/201.92 [3997]E(f844(f844(f110(f916(x39971,a904)),f844(f844(f308(x39971),x39972),x39973)),x39974),f844(f844(f308(x39971),x39972),f844(f844(f110(f916(x39971,a904)),x39973),x39974)))
% 201.98/201.92 [4016]E(f844(f34(f915(x40161,x40162)),f844(f844(f253(x40161,x40162),x40163),f844(f18(f916(x40162,a904),x40161),x40164))),f844(f844(f80(a908),f844(f34(x40161),x40163)),f844(f34(x40162),x40164)))
% 201.98/201.92 [4023]E(f844(f844(f101(f916(x40231,a904)),f844(f844(f308(x40231),x40232),x40233)),f844(f844(f308(x40231),x40232),x40234)),f844(f844(f308(x40231),x40232),f844(f844(f101(f916(x40231,a904)),x40233),x40234)))
% 201.98/201.92 [4038]E(f844(f844(f110(f916(x40381,a904)),x40382),f844(f844(f110(f916(x40381,a904)),x40383),x40384)),f844(f844(f110(f916(x40381,a904)),x40383),f844(f844(f110(f916(x40381,a904)),x40382),x40384)))
% 201.98/201.92 [4039]E(f844(f844(f101(f916(x40391,a904)),x40392),f844(f844(f101(f916(x40391,a904)),x40393),x40394)),f844(f844(f101(f916(x40391,a904)),x40393),f844(f844(f101(f916(x40391,a904)),x40392),x40394)))
% 201.98/201.92 [4049]E(f63(x40491,x40492,f844(f844(f10(x40492,f916(x40492,x40492),x40491),x40493),x40494)),f844(f64(x40492,x40491,x40493),x40494))
% 201.98/201.92 [4058]E(f179(x40581,f844(f844(f154(f909(x40582),f909(x40581)),f844(f154(x40582,x40581),x40583)),x40584)),f844(f844(f154(f909(x40582),f909(x40581)),f844(f154(x40582,x40581),x40583)),f179(x40582,x40584)))
% 201.98/201.92 [4077]E(f844(f142(f909(x40771),f909(x40771),f134(x40771),f113(x40771)),f844(f844(f154(x40772,f909(x40771)),x40773),x40774)),f163(x40772,x40771,x40773,x40774))
% 201.98/201.92 [4134]E(f844(f72(x41341,x41341,x41341,f844(f844(f183(x41341,x41341),x41342),x41343)),f844(f844(f183(x41341,x41341),x41344),x41343)),f844(f844(f183(x41341,x41341),f844(f844(f79(a908),x41342),x41344)),x41343))
% 201.98/201.92 [4157]E(f844(f844(f101(f916(x41571,a904)),f844(f844(f110(f916(x41571,a904)),x41572),x41573)),f844(f844(f110(f916(x41571,a904)),x41572),x41574)),f844(f844(f110(f916(x41571,a904)),x41572),f844(f844(f101(f916(x41571,a904)),x41573),x41574)))
% 201.98/201.92 [4158]E(f844(f844(f101(f916(x41581,a904)),f844(f844(f3(f916(x41581,a904)),x41582),x41583)),f844(f844(f3(f916(x41581,a904)),x41582),x41584)),f844(f844(f3(f916(x41581,a904)),x41582),f844(f844(f110(f916(x41581,a904)),x41583),x41584)))
% 201.98/201.92 [4159]E(f844(f844(f110(f916(x41591,a904)),f844(f844(f3(f916(x41591,a904)),x41592),x41593)),f844(f844(f3(f916(x41591,a904)),x41592),x41594)),f844(f844(f3(f916(x41591,a904)),x41592),f844(f844(f101(f916(x41591,a904)),x41593),x41594)))
% 201.98/201.92 [4160]E(f844(f844(f110(f916(x41601,a904)),f844(f844(f101(f916(x41601,a904)),x41602),x41603)),f844(f844(f101(f916(x41601,a904)),x41602),x41604)),f844(f844(f101(f916(x41601,a904)),x41602),f844(f844(f110(f916(x41601,a904)),x41603),x41604)))
% 201.98/201.92 [4161]E(f844(f844(f3(f916(x41611,a904)),f844(f844(f101(f916(x41611,a904)),x41612),x41613)),f844(f844(f101(f916(x41611,a904)),x41612),x41614)),f844(f844(f101(f916(x41611,a904)),x41612),f844(f844(f3(f916(x41611,a904)),x41613),x41614)))
% 201.98/201.92 [4166]E(f844(f34(f915(x41661,x41662)),f844(f844(f253(x41661,x41662),f844(f844(f308(x41661),x41663),f188(f916(x41661,a904)))),f844(f18(f916(x41662,a904),x41661),x41664))),f844(f34(x41662),x41664))
% 201.98/201.92 [4201]E(f844(f844(f39(x42011,f916(x42012,a904)),x42013),f844(f844(f10(f916(x42012,a904),f916(x42012,a904),x42011),f78(f916(x42012,a904))),x42014)),f844(f78(f916(x42012,a904)),f844(f844(f38(x42011,f916(x42012,a904)),x42013),x42014)))
% 201.98/201.92 [4202]E(f844(f844(f38(x42021,f916(x42022,a904)),x42023),f844(f844(f10(f916(x42022,a904),f916(x42022,a904),x42021),f78(f916(x42022,a904))),x42024)),f844(f78(f916(x42022,a904)),f844(f844(f39(x42021,f916(x42022,a904)),x42023),x42024)))
% 201.98/201.92 [4218]E(f844(f844(f288(x42181,x42181,x42181),f844(f844(f183(f915(x42181,x42181),a904),x42182),x42183)),f844(f844(f183(f915(x42181,x42181),a904),x42184),x42183)),f844(f844(f183(f915(x42181,x42181),a904),f844(f844(f79(a908),x42182),x42184)),x42183))
% 201.98/201.92 [4248]E(f844(f844(f38(x42481,f916(f916(x42482,a904),a904)),x42483),f844(f844(f10(f916(x42482,a904),f916(f916(x42482,a904),a904),x42481),f307(x42482)),x42484)),f844(f307(x42482),f844(f844(f38(x42481,f916(x42482,a904)),x42483),x42484)))
% 201.98/201.92 [4280]E(f844(f844(f38(f916(x42801,a904),f916(x42802,a904)),x42803),f844(f844(f9(f916(x42801,a904),f916(x42801,f916(x42802,a904)),f916(x42802,a904)),f38(x42801,f916(x42802,a904))),x42804)),f844(f844(f38(x42801,f916(x42802,a904)),f36(f916(x42801,a904),x42803)),x42804))
% 201.98/201.92 [4281]E(f844(f844(f39(f916(x42811,a904),f916(x42812,a904)),x42813),f844(f844(f9(f916(x42811,a904),f916(x42811,f916(x42812,a904)),f916(x42812,a904)),f39(x42811,f916(x42812,a904))),x42814)),f844(f844(f39(x42811,f916(x42812,a904)),f36(f916(x42811,a904),x42813)),x42814))
% 201.98/201.92 [4286]E(f844(f844(f154(x42861,x42862),x42863),f844(f142(f909(x42861),f909(x42861),f134(x42861),f113(x42861)),x42864)),f844(f142(f909(x42862),f909(x42862),f134(x42862),f113(x42862)),f844(f844(f154(f909(x42861),f909(x42862)),f844(f154(x42861,x42862),x42863)),x42864)))
% 201.98/201.92 [4288]E(f185(f909(x42881),f113(x42881),f844(f844(f10(f909(x42881),f909(x42881),a908),f844(f151(x42881),x42882)),f844(f844(f9(a908,f909(x42881),f909(x42881)),f175(x42881)),x42883)),x42884),f844(f844(f175(x42881),x42884),f844(f844(f151(x42881),x42882),x42883)))
% 201.98/201.92 [4326]P105(f844(f844(f234(f916(x43261,a904)),f844(f309(x43262,x43261,x43263),f844(f310(x43262,x43261,x43263),x43264))),x43264))
% 201.98/201.92 [4328]E(f844(f309(f915(x43281,x43282),f915(x43282,x43281),f844(f256(x43281,x43282,f915(x43282,x43281)),f844(f9(x43282,x43281,f915(x43282,x43281)),f251(x43282,x43281)))),f844(f844(f253(x43281,x43282),x43283),f844(f18(f916(x43282,a904),x43281),x43284))),f844(f844(f253(x43282,x43281),x43284),f844(f18(f916(x43281,a904),x43282),x43283)))
% 201.98/201.92 [4337]E(f844(f844(f39(x43371,f916(x43372,a904)),x43373),f844(f844(f10(f916(x43371,a904),f916(x43372,a904),x43371),f284(x43371,x43372,x43374)),f844(f844(f9(x43371,f916(x43371,a904),f916(x43371,a904)),f308(x43371)),f188(f916(x43371,a904))))),f844(f284(x43371,x43372,x43374),x43373))
% 201.98/201.92 [4338]E(f844(f844(f39(x43381,f916(x43382,a904)),x43383),f844(f844(f10(f916(x43381,a904),f916(x43382,a904),x43381),f310(x43382,x43381,x43384)),f844(f844(f9(x43381,f916(x43381,a904),f916(x43381,a904)),f308(x43381)),f188(f916(x43381,a904))))),f844(f310(x43382,x43381,x43384),x43383))
% 201.98/201.92 [4425]E(f844(f844(f110(f916(x44251,a904)),f844(f844(f110(f916(x44251,a904)),f844(f844(f101(f916(x44251,a904)),x44252),x44253)),f844(f844(f101(f916(x44251,a904)),x44253),x44254))),f844(f844(f101(f916(x44251,a904)),x44254),x44252)),f844(f844(f101(f916(x44251,a904)),f844(f844(f101(f916(x44251,a904)),f844(f844(f110(f916(x44251,a904)),x44252),x44253)),f844(f844(f110(f916(x44251,a904)),x44253),x44254))),f844(f844(f110(f916(x44251,a904)),x44254),x44252)))
% 201.98/201.92 [4488]E(f844(f142(f909(x44881),f909(x44881),f134(x44881),f113(x44881)),f844(f844(f154(x44882,f909(x44881)),f844(f844(f9(x44882,f909(x44881),f909(x44881)),f844(f844(f10(x44881,f916(f909(x44881),f909(x44881)),x44882),f151(x44881)),x44883)),f113(x44881))),x44884)),f844(f844(f154(x44882,x44881),x44883),x44884))
% 201.98/201.92 [4498]E(f844(f844(f85(a1,x44981),f844(f103(a1),f844(f844(f79(a1),x44982),a97))),f844(f844(f20(a1,x44981,x44981),f844(f844(f9(a1,x44981,f916(x44981,x44981)),f844(f844(f10(a904,f916(x44981,f916(x44981,x44981)),a1),f96(x44981)),a193)),x44983)),f844(f844(f10(a908,x44981,a1),x44984),a104))),f185(x44981,x44983,x44984,f844(f103(a908),x44982)))
% 201.98/201.92 [4529]E(f844(f261(x45291),f844(f844(f10(f916(x45292,a904),a904,x45291),f86(x45292)),f844(f844(f10(f916(x45292,a904),f916(x45292,a904),x45291),f844(f20(x45292,a904,a904),f844(f844(f10(a904,f916(a904,a904),x45292),a325),f844(f844(f9(x45292,f916(x45292,a904),a904),f328(x45292)),x45293)))),f844(f9(x45292,x45291,a904),x45294)))),f844(f284(x45292,x45291,f844(f261(f915(x45292,x45291)),f844(f256(x45292,x45291,a904),x45294))),x45293))
% 201.98/201.92 [4683]~P105(f844(f844(f188(f916(x46831,f916(x46832,a904))),x46833),x46834))
% 201.98/201.92 [3985]E(f844(f844(f164(x39851),f844(f844(f134(x39851),x39852),x39853)),f844(f844(f79(a908),f844(f189(f909(x39851)),x39852)),x39854)),f844(f844(f164(x39851),x39853),x39854))
% 201.98/201.92 [3990]E(f844(f844(f138(x39901),x39902),f844(f844(f175(x39901),f844(f844(f79(a908),x39903),x39902)),x39904)),f844(f844(f175(x39901),x39903),f844(f844(f138(x39901),x39902),x39904)))
% 201.98/201.92 [4091]E(f844(f844(f110(f916(x40911,a904)),f844(f283(x40912,x40911),x40913)),f844(f283(x40912,x40911),x40914)),f844(f283(x40912,x40911),f844(f844(f110(f916(f915(x40912,x40911),a904)),x40913),x40914)))
% 201.98/201.92 [4092]E(f844(f844(f110(f916(x40921,a904)),f844(f263(x40921,x40922),x40923)),f844(f263(x40921,x40922),x40924)),f844(f263(x40921,x40922),f844(f844(f110(f916(f915(x40921,x40922),a904)),x40923),x40924)))
% 201.98/201.92 [4097]E(f844(f844(f110(f916(x40971,a904)),f844(f844(f110(f916(x40971,a904)),x40972),x40973)),x40974),f844(f844(f110(f916(x40971,a904)),x40972),f844(f844(f110(f916(x40971,a904)),x40973),x40974)))
% 201.98/201.92 [4098]E(f844(f844(f3(f916(x40981,a904)),f844(f844(f101(f916(x40981,a904)),x40982),x40983)),x40984),f844(f844(f101(f916(x40981,a904)),x40982),f844(f844(f3(f916(x40981,a904)),x40983),x40984)))
% 201.98/201.92 [4099]E(f844(f844(f101(f916(x40991,a904)),f844(f844(f101(f916(x40991,a904)),x40992),x40993)),x40994),f844(f844(f101(f916(x40991,a904)),x40992),f844(f844(f101(f916(x40991,a904)),x40993),x40994)))
% 201.98/201.92 [4136]E(f844(f844(f110(f916(f915(x41361,x41362),a904)),f844(f285(x41362,x41361),x41363)),f844(f285(x41362,x41361),x41364)),f844(f285(x41362,x41361),f844(f844(f110(f916(f915(x41362,x41361),a904)),x41363),x41364)))
% 201.98/201.92 [4137]E(f844(f844(f101(f916(f915(x41371,x41372),a904)),f844(f285(x41372,x41371),x41373)),f844(f285(x41372,x41371),x41374)),f844(f285(x41372,x41371),f844(f844(f101(f916(f915(x41372,x41371),a904)),x41373),x41374)))
% 201.98/201.92 [4150]E(f844(f844(f110(f916(x41501,f916(x41502,a904))),f242(x41502,x41501,x41503)),f242(x41502,x41501,x41504)),f242(x41502,x41501,f844(f844(f110(f916(x41502,f916(x41501,a904))),x41503),x41504)))
% 201.98/201.92 [4151]E(f844(f844(f101(f916(x41511,f916(x41512,a904))),f242(x41512,x41511,x41513)),f242(x41512,x41511,x41514)),f242(x41512,x41511,f844(f844(f101(f916(x41512,f916(x41511,a904))),x41513),x41514)))
% 201.98/201.92 [4205]E(f844(f844(f101(f916(x42051,a904)),f844(f844(f110(f916(x42051,a904)),x42052),x42053)),f844(f844(f110(f916(x42051,a904)),x42054),x42053)),f844(f844(f110(f916(x42051,a904)),f844(f844(f101(f916(x42051,a904)),x42052),x42054)),x42053))
% 201.98/201.92 [4206]E(f844(f844(f110(f916(x42061,a904)),f844(f844(f3(f916(x42061,a904)),x42062),x42063)),f844(f844(f3(f916(x42061,a904)),x42064),x42063)),f844(f844(f3(f916(x42061,a904)),f844(f844(f110(f916(x42061,a904)),x42062),x42064)),x42063))
% 201.98/201.92 [4207]E(f844(f844(f110(f916(x42071,a904)),f844(f844(f101(f916(x42071,a904)),x42072),x42073)),f844(f844(f101(f916(x42071,a904)),x42074),x42073)),f844(f844(f101(f916(x42071,a904)),f844(f844(f110(f916(x42071,a904)),x42072),x42074)),x42073))
% 201.98/201.92 [4208]E(f844(f844(f3(f916(x42081,a904)),f844(f844(f101(f916(x42081,a904)),x42082),x42083)),f844(f844(f101(f916(x42081,a904)),x42084),x42083)),f844(f844(f101(f916(x42081,a904)),f844(f844(f3(f916(x42081,a904)),x42082),x42084)),x42083))
% 201.98/201.92 [4209]E(f844(f844(f3(f916(x42091,a904)),f844(f844(f101(f916(x42091,a904)),x42092),x42093)),f844(f844(f101(f916(x42091,a904)),x42094),x42093)),f844(f844(f3(f916(x42091,a904)),f844(f844(f101(f916(x42091,a904)),x42092),x42093)),x42094))
% 201.98/201.92 [4221]E(f844(f844(f3(f916(x42211,a904)),f844(f844(f3(f916(x42211,a904)),x42212),f844(f844(f308(x42211),x42213),f188(f916(x42211,a904))))),x42214),f844(f844(f3(f916(x42211,a904)),x42212),f844(f844(f308(x42211),x42213),x42214)))
% 201.98/201.92 [4275]E(f844(f844(f110(f916(x42751,a904)),f844(f844(f308(x42751),x42752),f844(f844(f308(x42751),x42753),f188(f916(x42751,a904))))),f844(f280(x42751),x42754)),f844(f280(x42751),f844(f844(f308(f915(x42751,x42751)),f844(f844(f251(x42751,x42751),x42752),x42753)),x42754)))
% 201.98/201.92 [4302]E(f844(f844(f39(a908,f916(x43021,a904)),f844(f300(a908),x43022)),f844(f844(f10(a908,f916(x43021,a904),a908),x43023),f844(f844(f9(a908,a908,a908),f79(a908)),x43024))),f844(f844(f39(a908,f916(x43021,a904)),f302(a908,x43024,f844(f844(f79(a908),x43022),x43024))),x43023))
% 201.98/201.92 [4303]E(f174(x43031,f844(f284(x43031,x43031,x43032),f844(f844(f308(x43031),x43033),f188(f916(x43031,a904)))),f844(f284(f909(x43031),f909(x43031),f158(x43031,x43032)),f844(f844(f308(f909(x43031)),x43034),f188(f916(f909(x43031),a904))))),f844(f284(f909(x43031),f909(x43031),f158(x43031,x43032)),f844(f844(f308(f909(x43031)),f844(f844(f151(x43031),x43033),x43034)),f188(f916(f909(x43031),a904)))))
% 201.98/201.92 [4367]E(f844(f261(x43671),f844(f844(f9(x43671,f916(x43672,a904),a904),f844(f844(f10(x43672,f916(f916(x43672,a904),a904),x43671),f328(x43672)),x43673)),x43674)),f844(f310(x43671,x43672,x43673),x43674))
% 201.98/201.92 [4457]E(f844(f261(x44571),f844(f844(f9(x44571,f916(f915(x44572,x44571),a904),a904),f844(f844(f10(f915(x44572,x44571),f916(f916(f915(x44572,x44571),a904),a904),x44571),f328(f915(x44572,x44571))),f844(f251(x44572,x44571),x44573))),x44574)),f844(f284(x44572,x44571,x44574),f844(f844(f308(x44572),x44573),f188(f916(x44572,a904)))))
% 201.98/201.92 [4471]E(f844(f844(f154(f915(x44711,a908),x44711),f250(x44711,a908)),f844(f136(f915(x44711,a908),f844(f844(f10(a908,a904,f915(x44711,a908)),x44712),f844(f844(f10(a908,a908,f915(x44711,a908)),a112),f255(x44711,a908)))),f844(f844(f181(x44711,a908),x44713),x44714))),f844(f844(f154(f915(x44711,a908),x44711),f250(x44711,a908)),f844(f136(f915(x44711,a908),f844(f844(f10(a908,a904,f915(x44711,a908)),x44712),f255(x44711,a908))),f844(f844(f181(x44711,a908),x44713),f844(f844(f154(a908,a908),a112),x44714)))))
% 201.98/201.92 [4480]P105(f844(f844(f234(f916(f916(x44801,a904),a904)),f844(f844(f39(x44802,f916(f916(x44801,a904),a904)),x44803),f844(f844(f10(f916(x44801,a904),f916(f916(x44801,a904),a904),x44802),f307(x44801)),x44804))),f844(f307(x44801),f844(f844(f39(x44802,f916(x44801,a904)),x44803),x44804))))
% 201.98/201.92 [4521]E(f844(f844(f85(a1,x45211),f844(f103(a1),f844(f844(f79(a1),x45212),a97))),f844(f844(f20(a1,x45211,x45211),f844(f844(f9(a1,x45211,f916(x45211,x45211)),f844(f844(f10(a904,f916(x45211,f916(x45211,x45211)),a1),f96(x45211)),a193)),x45213)),f844(f844(f20(a1,x45211,x45211),f844(f844(f10(a908,f916(x45211,x45211),a1),x45214),a104)),f844(f844(f10(a908,x45211,a1),f184(x45211,x45213,x45214)),a104)))),f844(f184(x45211,x45213,x45214),f844(f103(a908),x45212)))
% 201.98/201.92 [4545]E(f844(f261(f915(x45451,x45452)),f844(f256(x45451,x45452,a904),f844(f844(f9(x45451,f916(x45452,a904),f916(x45452,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x45452,a904),f916(x45452,a904)),x45451),f10(a904,a904,x45452)),f844(f844(f10(a904,f916(a904,a904),x45451),a325),f844(f844(f9(x45451,f916(x45451,a904),a904),f328(x45451)),x45453)))),f844(f844(f9(x45452,f916(x45452,a904),a904),f328(x45452)),x45454)))),f229(x45451,x45452,x45453,x45454))
% 201.98/201.92 [4581]E(f844(f844(f39(x45811,f916(f915(x45811,x45812),a904)),x45813),f844(f844(f20(x45811,f916(x45812,f916(f915(x45811,x45812),a904)),f916(f915(x45811,x45812),a904)),f844(f844(f10(f916(x45812,a904),f916(f916(x45812,f916(f915(x45811,x45812),a904)),f916(f915(x45811,x45812),a904)),x45811),f39(x45812,f916(f915(x45811,x45812),a904))),x45814)),f844(f844(f9(x45811,f916(f915(x45811,x45812),a904),f916(x45812,f916(f915(x45811,x45812),a904))),f844(f844(f10(f916(x45812,f916(f916(f915(x45811,x45812),a904),f916(f915(x45811,x45812),a904))),f916(f916(f915(x45811,x45812),a904),f916(x45812,f916(f915(x45811,x45812),a904))),x45811),f9(x45812,f916(f915(x45811,x45812),a904),f916(f915(x45811,x45812),a904))),f844(f844(f10(f916(x45812,f915(x45811,x45812)),f916(x45812,f916(f916(f915(x45811,x45812),a904),f916(f915(x45811,x45812),a904))),x45811),f844(f10(f915(x45811,x45812),f916(f916(f915(x45811,x45812),a904),f916(f915(x45811,x45812),a904)),x45812),f308(f915(x45811,x45812)))),f251(x45811,x45812)))),f188(f916(f915(x45811,x45812),a904))))),f844(f844(f253(x45811,x45812),x45813),x45814))
% 201.98/201.92 [4145]E(f844(f844(f134(x41451),f844(f844(f175(x41451),x41452),x41453)),f844(f844(f175(x41451),f844(f844(f3(a908),x41452),f844(f189(f909(x41451)),x41453))),x41454)),f844(f844(f175(x41451),x41452),f844(f844(f134(x41451),x41453),x41454)))
% 201.98/201.92 [4146]E(f844(f844(f134(x41461),f844(f844(f138(x41461),x41462),x41463)),f844(f844(f138(x41461),f844(f844(f3(a908),x41462),f844(f189(f909(x41461)),x41463))),x41464)),f844(f844(f138(x41461),x41462),f844(f844(f134(x41461),x41463),x41464)))
% 201.98/201.92 [4195]E(f844(f844(f79(a908),f844(f844(f80(a908),x41951),x41952)),f844(f844(f79(a908),f844(f844(f80(a908),x41953),x41952)),x41954)),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f79(a908),x41951),x41953)),x41952)),x41954))
% 201.98/201.92 [4343]E(f89(x43431,f844(f844(f9(x43431,x43432,a904),f844(f844(f10(x43432,f916(x43432,a904),x43431),a324),x43433)),x43434)),f844(f90(x43431,x43432,f241(f916(x43431,a904)),x43433),x43434))
% 201.98/201.92 [4391]P105(f844(f844(f234(f916(x43911,a904)),f844(f844(f3(f916(x43911,a904)),f844(f283(x43912,x43911),x43913)),f844(f283(x43912,x43911),x43914))),f844(f283(x43912,x43911),f844(f844(f3(f916(f915(x43912,x43911),a904)),x43913),x43914))))
% 201.98/201.92 [4392]P105(f844(f844(f234(f916(x43921,a904)),f844(f844(f3(f916(x43921,a904)),f844(f263(x43921,x43922),x43923)),f844(f263(x43921,x43922),x43924))),f844(f263(x43921,x43922),f844(f844(f3(f916(f915(x43921,x43922),a904)),x43923),x43924))))
% 201.98/201.92 [4500]E(f844(f844(f79(a1),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x45001),x45002)),f188(f916(f915(a908,a908),a904)))))),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x45003),x45004)),f188(f916(f915(a908,a908),a904)))))),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),f844(f844(f79(a908),x45001),x45003)),f844(f844(f79(a908),x45002),x45004))),f188(f916(f915(a908,a908),a904))))))
% 201.98/201.92 [4540]E(f844(f844(f80(a1),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x45401),x45402)),f188(f916(f915(a908,a908),a904)))))),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x45403),x45404)),f188(f916(f915(a908,a908),a904)))))),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),f844(f844(f79(a908),f844(f844(f80(a908),x45401),x45403)),f844(f844(f80(a908),x45402),x45404))),f844(f844(f79(a908),f844(f844(f80(a908),x45401),x45404)),f844(f844(f80(a908),x45402),x45403)))),f188(f916(f915(a908,a908),a904))))))
% 201.98/201.92 [4561]E(f844(f261(x45611),f844(f844(f10(f916(x45612,a904),a904,x45611),f87(x45612)),f844(f844(f10(f916(x45612,a904),f916(x45612,a904),x45611),f844(f20(x45612,a904,a904),f844(f844(f10(a904,f916(a904,a904),x45612),a329),f844(f844(f9(x45612,f916(x45612,a904),a904),f328(x45612)),x45613)))),f844(f844(f9(x45611,f916(x45612,f916(x45611,a904)),f916(x45612,a904)),f844(f844(f10(f916(f916(x45611,a904),a904),f916(f916(x45612,f916(x45611,a904)),f916(x45612,a904)),x45611),f10(f916(x45611,a904),a904,x45612)),f328(x45611))),x45614)))),f844(f844(f38(x45612,f916(x45611,a904)),x45613),x45614))
% 201.98/201.92 [4593]E(f844(f844(f288(x45931,x45931,x45931),f844(f844(f308(f915(x45931,x45931)),f844(f844(f251(x45931,x45931),x45932),x45933)),x45934)),f306(x45931,f844(f844(f308(f915(x45931,x45931)),f844(f844(f251(x45931,x45931),x45932),x45933)),x45934))),f844(f844(f110(f916(f915(x45931,x45931),a904)),f844(f844(f288(x45931,x45931,x45931),x45934),f306(x45931,x45934))),f844(f261(f915(x45931,x45931)),f844(f256(x45931,x45931,a904),f844(f844(f9(x45931,f916(x45931,a904),f916(x45931,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x45931,a904),f916(x45931,a904)),x45931),f10(a904,a904,x45931)),f844(f844(f10(a904,f916(a904,a904),x45931),a325),f844(f844(f9(x45931,f916(f915(x45931,x45931),a904),a904),f844(f844(f10(f915(x45931,x45931),f916(f916(f915(x45931,x45931),a904),a904),x45931),f328(f915(x45931,x45931))),f844(f844(f9(x45931,x45931,f915(x45931,x45931)),f251(x45931,x45931)),x45932))),f306(x45931,x45934))))),f844(f844(f9(x45931,f916(f915(x45931,x45931),a904),a904),f844(f844(f10(f915(x45931,x45931),f916(f916(f915(x45931,x45931),a904),a904),x45931),f328(f915(x45931,x45931))),f844(f251(x45931,x45931),x45933))),f306(x45931,x45934)))))))
% 201.98/201.92 [4393]E(f844(f136(x43931,f844(f844(f20(x43931,a904,a904),f844(f844(f10(a904,f916(a904,a904),x43931),a325),x43932)),x43933)),x43934),f844(f136(x43931,x43933),f844(f136(x43931,x43932),x43934)))
% 201.98/201.92 [4494]E(f844(f844(f134(x44941),f844(f844(f844(f96(f909(x44941)),f844(f844(f328(a908),f2(a908)),x44942)),f844(f844(f151(x44941),x44943),f113(x44941))),f113(x44941))),f176(x44941,x44944,f844(f261(a908),f844(f844(f9(a908,f916(a908,a904),a904),f844(f844(f10(a908,f916(f916(a908,a904),a904),a908),f328(a908)),a112)),x44942)))),f176(x44941,f844(f844(f151(x44941),x44943),x44944),x44942))
% 201.98/201.92 [4589]E(f844(f261(f915(x45891,x45892)),f844(f844(f10(f916(a908,a904),a904,f915(x45891,x45892)),f86(a908)),f844(f844(f9(f915(x45891,x45892),f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),f915(x45891,x45892)),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),f915(x45891,x45892)),f844(f10(a904,f916(a904,a904),a908),a325)),f844(f844(f9(f915(x45891,x45892),f916(a908,f915(x45891,x45892)),f916(a908,a904)),f844(f844(f10(f916(f915(x45891,x45892),a904),f916(f916(a908,f915(x45891,x45892)),f916(a908,a904)),f915(x45891,x45892)),f10(f915(x45891,x45892),a904,a908)),a324)),f844(f844(f20(a908,x45892,f915(x45891,x45892)),f844(f844(f10(x45891,f916(x45892,f915(x45891,x45892)),a908),f251(x45891,x45892)),f844(f164(x45891),x45893))),f844(f164(x45892),x45894)))))),f844(f844(f9(a908,a908,a904),f235(a908)),f844(f844(f232(a908),f844(f189(f909(x45891)),x45893)),f844(f189(f909(x45892)),x45894)))))),f844(f172(f915(x45891,x45892)),f844(f844(f181(x45891,x45892),x45893),x45894)))
% 201.98/201.92 [4513]E(f844(f261(f915(x45131,x45132)),f844(f256(x45131,x45132,a904),f844(f844(f9(x45131,f916(x45132,a904),f916(x45132,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x45132,a904),f916(x45132,a904)),x45131),f10(a904,a904,x45132)),f844(f844(f10(a904,f916(a904,a904),x45131),a325),x45133))),x45134))),f844(f844(f253(x45131,x45132),f844(f261(x45131),x45133)),f844(f18(f916(x45132,a904),x45131),f844(f261(x45132),x45134))))
% 201.98/201.92 [4516]E(f844(f261(f915(x45161,x45162)),f844(f256(x45161,x45162,a904),f844(f844(f20(x45161,f916(x45162,a904),f916(x45162,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x45162,a904),f916(x45162,a904)),x45161),f10(a904,a904,x45162)),f844(f844(f10(a904,f916(a904,a904),x45161),a325),x45163))),x45164))),f844(f844(f253(x45161,x45162),f844(f261(x45161),x45163)),f844(f844(f10(f916(x45162,a904),f916(x45162,a904),x45161),f261(x45162)),x45164)))
% 201.98/201.92 [4528]E(f844(f261(x45281),f844(f844(f10(f916(x45282,a904),a904,x45281),f87(x45282)),f844(f844(f10(f916(x45282,a904),f916(x45282,a904),x45281),f844(f20(x45282,a904,a904),f844(f844(f10(a904,f916(a904,a904),x45282),a329),f844(f844(f9(x45282,f916(x45282,a904),a904),f328(x45282)),x45283)))),x45284))),f844(f844(f38(x45282,f916(x45281,a904)),x45283),f844(f844(f10(f916(x45281,a904),f916(x45281,a904),x45282),f261(x45281)),f844(f9(x45281,x45282,a904),x45284))))
% 201.98/201.92 [4573]E(f844(f844(f154(f915(x45731,a908),x45731),f250(x45731,a908)),f844(f136(f915(x45731,a908),f844(f844(f9(f915(x45731,a908),f916(a908,a904),a904),f844(f844(f10(a908,f916(f916(a908,a904),a904),f915(x45731,a908)),f328(a908)),f255(x45731,a908))),x45732)),f844(f844(f181(x45731,a908),x45733),f139(a908,f844(f301(a908,x45734),f844(f844(f79(a908),x45734),f844(f189(f909(x45731)),x45733))))))),f844(f844(f154(f915(x45731,a908),x45731),f250(x45731,a908)),f844(f136(f915(x45731,a908),f844(f844(f9(f915(x45731,a908),f916(a908,a904),a904),f844(f844(f10(a908,f916(f916(a908,a904),a904),f915(x45731,a908)),f328(a908)),f844(f844(f9(f915(x45731,a908),a908,a908),f844(f844(f10(a908,f916(a908,a908),f915(x45731,a908)),f79(a908)),f255(x45731,a908))),x45734))),x45732)),f844(f844(f181(x45731,a908),x45733),f139(a908,f844(f301(a908,f2(a908)),f844(f189(f909(x45731)),x45733)))))))
% 201.98/201.92 [4574]E(f844(a112,f844(f844(f233(a908),f844(f189(f909(x45741)),x45742)),f844(f142(a908,f909(x45743),f844(f9(f909(x45743),a908,a908),f844(f844(f10(a908,f916(a908,a908),f909(x45743)),f233(a908)),f844(f844(f9(f909(x45743),a908,a908),f844(f844(f10(a908,f916(a908,a908),f909(x45743)),f3(a908)),f189(f909(x45743)))),f844(a112,f2(a908))))),f2(a908)),f844(f168(f909(x45743)),f844(f136(f909(x45743),f844(f844(f10(a904,a904,f909(x45743)),a321),f844(f844(f9(f909(x45743),f909(x45743),a904),a324),f113(x45743)))),x45744))))),f844(f844(f233(a908),f844(a112,f844(f189(f909(x45741)),x45742))),f844(f142(a908,f909(x45743),f844(f9(f909(x45743),a908,a908),f844(f844(f10(a908,f916(a908,a908),f909(x45743)),f233(a908)),f189(f909(x45743)))),f2(a908)),f844(f168(f909(x45743)),x45744))))
% 201.98/201.92 [4527]E(f844(f844(f134(x45271),f176(x45271,x45272,x45273)),f176(x45271,x45274,f844(f261(a908),f844(f844(f9(a908,f916(a908,a904),a904),f844(f844(f10(a908,f916(f916(a908,a904),a904),a908),f328(a908)),f844(f844(f9(a908,a908,a908),f79(a908)),f844(f189(f909(x45271)),x45272)))),x45273)))),f176(x45271,f844(f844(f134(x45271),x45272),x45274),x45273))
% 201.98/201.92 [4575]E(f37(f916(x45751,a904),f844(f261(f916(x45751,a904)),f844(f844(f10(f916(x45752,a904),a904,f916(x45751,a904)),f86(x45752)),f844(f844(f10(f916(x45752,a904),f916(x45752,a904),f916(x45751,a904)),f844(f20(x45752,a904,a904),f844(f844(f10(a904,f916(a904,a904),x45752),a325),f844(f844(f9(x45752,f916(x45752,a904),a904),f328(x45752)),x45753)))),f844(f844(f9(f916(x45751,a904),f916(x45752,f916(x45751,a904)),f916(x45752,a904)),f844(f844(f10(f916(f916(x45751,a904),a904),f916(f916(x45752,f916(x45751,a904)),f916(x45752,a904)),f916(x45751,a904)),f10(f916(x45751,a904),a904,x45752)),a324)),x45754))))),f844(f844(f38(x45752,f916(x45751,a904)),x45753),x45754))
% 201.98/201.92 [4576]E(f36(f916(x45761,a904),f844(f261(f916(x45761,a904)),f844(f844(f10(f916(x45762,a904),a904,f916(x45761,a904)),f86(x45762)),f844(f844(f10(f916(x45762,a904),f916(x45762,a904),f916(x45761,a904)),f844(f20(x45762,a904,a904),f844(f844(f10(a904,f916(a904,a904),x45762),a325),f844(f844(f9(x45762,f916(x45762,a904),a904),f328(x45762)),x45763)))),f844(f844(f9(f916(x45761,a904),f916(x45762,f916(x45761,a904)),f916(x45762,a904)),f844(f844(f10(f916(f916(x45761,a904),a904),f916(f916(x45762,f916(x45761,a904)),f916(x45762,a904)),f916(x45761,a904)),f10(f916(x45761,a904),a904,x45762)),a324)),x45764))))),f844(f844(f39(x45762,f916(x45761,a904)),x45763),x45764))
% 201.98/201.92 [4583]E(f844(f844(f151(f909(x45831)),f844(f844(f151(x45831),x45832),f844(f142(f909(x45831),f909(x45831),f134(x45831),f113(x45831)),f844(f844(f154(f909(x45831),f909(x45831)),f156(f909(x45831),x45831,f113(x45831),f844(f844(f10(f909(x45831),f916(f909(x45831),f909(x45831)),x45831),f18(f909(x45831),f909(x45831))),f844(f844(f9(x45831,f909(x45831),f909(x45831)),f151(x45831)),f113(x45831))))),x45833)))),f179(x45831,f844(f844(f151(f909(x45831)),x45834),f844(f142(f909(f909(x45831)),f909(f909(x45831)),f134(f909(x45831)),f113(f909(x45831))),f844(f844(f154(f909(x45831),f909(f909(x45831))),f156(f909(f909(x45831)),x45831,f113(f909(x45831)),f844(f18(f916(f909(x45831),f909(f909(x45831))),x45831),f844(f844(f9(f909(x45831),f909(f909(x45831)),f909(f909(x45831))),f151(f909(x45831))),f113(f909(x45831)))))),x45833))))),f179(x45831,f844(f844(f151(f909(x45831)),f844(f844(f151(x45831),x45832),x45834)),x45833)))
% 201.98/201.92 [4590]E(f844(f261(f915(x45901,x45901)),f844(f256(x45901,x45901,a904),f844(f844(f9(x45901,f916(f915(x45902,x45902),a904),f916(x45901,a904)),f844(f844(f10(f916(x45901,f916(f916(f915(x45902,x45902),a904),a904)),f916(f916(f915(x45902,x45902),a904),f916(x45901,a904)),x45901),f9(x45901,f916(f915(x45902,x45902),a904),a904)),f844(f844(f10(f916(x45901,f915(x45902,x45902)),f916(x45901,f916(f916(f915(x45902,x45902),a904),a904)),x45901),f844(f10(f915(x45902,x45902),f916(f916(f915(x45902,x45902),a904),a904),x45901),f328(f915(x45902,x45902)))),f844(f844(f9(x45901,f916(x45901,x45902),f916(x45901,f915(x45902,x45902))),f844(f844(f10(f916(x45902,f915(x45902,x45902)),f916(f916(x45901,x45902),f916(x45901,f915(x45902,x45902))),x45901),f10(x45902,f915(x45902,x45902),x45901)),f844(f844(f10(x45902,f916(x45902,f915(x45902,x45902)),x45901),f251(x45902,x45902)),x45903))),x45903)))),x45904))),f844(f844(f287(x45902,x45901),x45904),x45903))
% 201.98/201.92 [4636]~E(f30(x46361,x46362),f27(x46363,x46364,x46365))
% 201.98/201.92 [4637]~E(f30(x46371,x46372),f26(x46373,x46374,x46375))
% 201.98/201.92 [4638]~E(f29(x46381,x46382),f27(x46383,x46384,x46385))
% 201.98/201.92 [4639]~E(f29(x46391,x46392),f26(x46393,x46394,x46395))
% 201.98/201.92 [4640]~E(f27(x46401,x46402,x46403),f30(x46404,x46405))
% 201.98/201.92 [4641]~E(f27(x46411,x46412,x46413),f29(x46414,x46415))
% 201.98/201.92 [4642]~E(f26(x46421,x46422,x46423),f30(x46424,x46425))
% 201.98/201.92 [4643]~E(f26(x46431,x46432,x46433),f29(x46434,x46435))
% 201.98/201.92 [3721]E(f844(f844(f154(x37211,x37212),x37213),f169(x37211,x37214,x37215)),f169(x37212,x37214,f844(x37213,x37215)))
% 201.98/201.92 [3935]E(f93(x39351,x39352,f91(x39351,x39353,x39354,x39355)),f2(a908))
% 201.98/201.92 [4059]E(f130(x40591,x40592,x40593,f126(x40591,x40594,x40595)),f126(x40592,f844(x40593,x40594),f130(x40591,x40592,x40593,x40595)))
% 201.98/201.92 [4292]E(f844(f74(x42921,x42922,x42923,x42924,x42925),x42924),x42925)
% 201.98/201.92 [4344]E(f252(x43441,x43442,x43443,f242(x43442,x43441,x43444),f242(x43443,x43442,x43445)),f242(x43443,x43441,f252(x43443,x43442,x43441,x43445,x43444)))
% 201.98/201.92 [3914]E(f844(f844(f256(x39141,x39142,x39143),x39144),x39145),f844(f844(x39144,f844(f250(x39141,x39142),x39145)),f844(f255(x39141,x39142),x39145)))
% 201.98/201.92 [3950]E(f844(f844(f844(f64(x39501,x39502,x39503),x39504),x39505),f188(f916(x39502,a904))),x39505)
% 201.98/201.92 [4229]E(f844(f72(f909(x42291),f909(x42292),f909(x42293),f844(f154(x42291,x42292),x42294)),f844(f154(x42293,x42291),x42295)),f844(f154(x42293,x42292),f844(f72(x42291,x42292,x42293,x42294),x42295)))
% 201.98/201.92 [4306]E(f84(x43061,f65(x43062,x43061,x43063,x43064,x43065)),f844(f844(f63(x43062,x43061,x43063),x43064),x43065))
% 201.98/201.92 [4340]E(f844(f844(f79(a908),f844(f844(f79(a908),f844(x43401,f844(f250(x43402,x43403),x43404))),f844(x43405,f844(f255(x43402,x43403),x43404)))),f844(a112,f2(a908))),f260(x43402,x43403,x43401,x43405,x43404))
% 201.98/201.92 [3850]E(f844(f844(f175(x38501),x38502),f844(f844(f154(x38503,x38501),x38504),x38505)),f844(f844(f154(x38503,x38501),x38504),f844(f844(f175(x38503),x38502),x38505)))
% 201.98/201.92 [3851]E(f844(f844(f138(x38511),x38512),f844(f844(f154(x38513,x38511),x38514),x38515)),f844(f844(f154(x38513,x38511),x38514),f844(f844(f138(x38513),x38512),x38515)))
% 201.98/201.92 [3883]E(f844(f844(f154(x38831,x38832),x38833),f844(f844(f151(x38831),x38834),x38835)),f844(f844(f151(x38832),f844(x38833,x38834)),f844(f844(f154(x38831,x38832),x38833),x38835)))
% 201.98/201.92 [3946]E(f844(f309(x39461,x39462,x39463),f844(f844(f308(x39461),x39464),x39465)),f844(f844(f308(x39462),f844(x39463,x39464)),f844(f309(x39461,x39462,x39463),x39465)))
% 201.98/201.92 [3974]E(f173(x39741,f844(f844(f151(x39741),x39742),x39743),f844(f844(f151(x39741),x39744),x39745)),f844(f844(f151(x39741),x39742),f844(f844(f151(x39741),x39744),f173(x39741,x39743,x39745))))
% 201.98/201.92 [4011]E(f844(f844(f181(x40111,x40112),f844(f844(f175(x40111),x40113),x40114)),f844(f844(f175(x40112),x40113),x40115)),f844(f844(f175(f915(x40111,x40112)),x40113),f844(f844(f181(x40111,x40112),x40114),x40115)))
% 201.98/201.92 [4012]E(f844(f844(f181(x40121,x40122),f844(f844(f138(x40121),x40123),x40124)),f844(f844(f138(x40122),x40123),x40125)),f844(f844(f138(f915(x40121,x40122)),x40123),f844(f844(f181(x40121,x40122),x40124),x40125)))
% 201.98/201.92 [4022]E(f844(f844(f159(x40221,f844(f844(f151(x40221),x40222),x40223)),f844(a112,x40224)),x40225),f844(f844(f151(x40221),x40222),f844(f844(f159(x40221,x40223),x40224),x40225)))
% 201.98/201.92 [4025]E(f844(f844(f134(x40251),f844(f844(f154(x40252,x40251),x40253),x40254)),f844(f844(f154(x40252,x40251),x40253),x40255)),f844(f844(f154(x40252,x40251),x40253),f844(f844(f134(x40252),x40254),x40255)))
% 201.98/201.92 [4029]E(f844(f844(x40291,x40292),f844(f844(f244(x40293,x40294,x40291),x40292),x40295)),f844(f844(f244(x40293,x40294,x40291),x40292),f844(a112,x40295)))
% 201.98/201.92 [4063]E(f163(x40631,x40632,x40633,f844(f844(f151(x40631),x40634),x40635)),f844(f844(f134(x40632),f844(x40633,x40634)),f163(x40631,x40632,x40633,x40635)))
% 201.98/201.92 [4075]E(f844(f844(f288(x40751,x40752,x40753),f844(f285(x40752,x40751),x40754)),f844(f285(x40753,x40752),x40755)),f844(f285(x40753,x40751),f844(f844(f288(x40753,x40752,x40751),x40755),x40754)))
% 201.98/201.92 [4107]E(f844(f844(f844(f183(f909(x41071),f909(x41071)),x41072),f167(x41071)),f844(f844(f154(x41073,x41071),x41074),x41075)),f844(f844(f154(x41073,x41071),x41074),f844(f844(f844(f183(f909(x41073),f909(x41073)),x41072),f167(x41073)),x41075)))
% 201.98/201.92 [4108]E(f844(f844(f258(x41081,x41082,x41081,x41083),f844(f251(x41082,x41081),x41084)),x41085),f844(x41085,x41084))
% 201.98/201.92 [4131]E(f155(x41311,x41312,f844(f844(f154(x41313,x41311),x41314),x41315)),f155(x41313,f844(f72(x41311,a908,x41313,x41312),x41314),x41315))
% 201.98/201.92 [4194]E(f177(f915(x41941,x41942),f844(f72(x41942,a904,f915(x41941,x41942),x41943),f255(x41941,x41942)),f844(f844(f181(x41941,x41942),x41944),x41945)),f844(f844(f181(x41941,x41942),x41944),f177(x41942,x41943,x41945)))
% 201.98/201.92 [4199]E(f844(f309(x41991,x41992,f844(f844(f10(x41993,x41992,x41991),x41994),x41995)),f241(f916(x41991,a904))),f844(f309(x41993,x41992,x41994),f844(f309(x41991,x41993,x41995),f241(f916(x41991,a904)))))
% 201.98/201.92 [4212]E(f177(f915(x42121,x42122),f844(f72(x42121,a904,f915(x42121,x42122),x42123),f250(x42121,x42122)),f844(f844(f181(x42121,x42122),x42124),x42125)),f844(f844(f181(x42121,x42122),f177(x42121,x42123,x42124)),x42125))
% 201.98/201.92 [4233]E(f844(f844(f110(f916(x42331,a904)),f844(f310(x42331,x42332,x42333),f844(f844(f308(x42332),x42334),f188(f916(x42332,a904))))),f844(f310(x42331,x42332,x42333),x42335)),f844(f310(x42331,x42332,x42333),f844(f844(f308(x42332),x42334),x42335)))
% 201.98/201.92 [4291]E(f844(f844(f134(f915(x42911,x42912)),f844(f844(f154(x42912,f915(x42911,x42912)),f844(f251(x42911,x42912),x42913)),x42914)),f58(x42911,x42912,x42915,x42914)),f58(x42911,x42912,f844(f844(f151(x42911),x42913),x42915),x42914))
% 201.98/201.92 [4293]E(f844(f844(f154(x42931,x42932),x42933),f177(x42931,f844(f72(x42932,a904,x42931,x42934),x42933),x42935)),f177(x42932,x42934,f844(f844(f154(x42931,x42932),x42933),x42935)))
% 201.98/201.92 [4298]E(f844(f142(x42981,x42982,f844(f9(x42982,x42981,x42981),f844(f9(x42981,x42982,x42981),x42983)),x42984),f844(f168(x42982),f844(f168(x42982),x42985))),f844(f142(x42981,x42982,x42983,x42984),x42985))
% 201.98/201.92 [4401]P105(f844(f844(f234(f916(x44011,a904)),f844(f309(x44012,x44011,x44013),f844(f844(f101(f916(x44012,a904)),x44014),x44015))),f844(f844(f101(f916(x44011,a904)),f844(f309(x44012,x44011,x44013),x44014)),f844(f309(x44012,x44011,x44013),x44015))))
% 201.98/201.92 [4402]P105(f844(f844(f234(f916(x44021,a904)),f844(f284(x44022,x44021,x44023),f844(f844(f101(f916(x44022,a904)),x44024),x44025))),f844(f844(f101(f916(x44021,a904)),f844(f284(x44022,x44021,x44023),x44024)),f844(f284(x44022,x44021,x44023),x44025))))
% 201.98/201.92 [4501]E(f844(f255(x45011,x45012),f844(f257(x45013,x45011,x45012,x45012,x45014,f31(x45012)),x45015)),f844(f255(x45013,x45012),x45015))
% 201.98/201.92 [4502]E(f844(f250(x45021,x45022),f844(f257(x45021,x45021,x45023,x45022,f31(x45021),x45024),x45025)),f844(f250(x45021,x45023),x45025))
% 201.98/201.92 [3692]E(f844(f844(f844(f844(f204(x36921),x36922),x36923),x36924),x36925),f192(x36921,x36922))
% 201.98/201.92 [3693]E(f844(f844(f844(f844(f208(x36931),x36932),x36933),x36934),x36935),f199(x36931,x36932))
% 201.98/201.92 [4064]E(f844(f844(f38(x40641,f916(x40642,a904)),f844(f844(f308(x40641),x40643),x40644)),x40645),f844(f844(f101(f916(x40642,a904)),f844(x40645,x40643)),f844(f844(f38(x40641,f916(x40642,a904)),x40644),x40645)))
% 201.98/201.92 [4065]E(f844(f844(f39(x40651,f916(x40652,a904)),f844(f844(f308(x40651),x40653),x40654)),x40655),f844(f844(f110(f916(x40652,a904)),f844(x40655,x40653)),f844(f844(f39(x40651,f916(x40652,a904)),x40654),x40655)))
% 201.98/201.92 [4115]E(f844(f118(x41151,x41152,f844(x41153,x41154)),f844(f844(f9(x41151,a99,f910(x41152)),x41155),x41154)),f844(f197(x41151,x41152,x41153,x41155),x41154))
% 201.98/201.92 [4125]E(f844(f844(f110(f916(x41251,a904)),f844(f309(x41252,x41251,x41253),x41254)),f844(f309(x41252,x41251,x41253),x41255)),f844(f309(x41252,x41251,x41253),f844(f844(f110(f916(x41252,a904)),x41254),x41255)))
% 201.98/201.92 [4126]E(f844(f844(f110(f916(x41261,a904)),f844(f284(x41262,x41261,x41263),x41264)),f844(f284(x41262,x41261,x41263),x41265)),f844(f284(x41262,x41261,x41263),f844(f844(f110(f916(x41262,a904)),x41264),x41265)))
% 201.98/201.92 [4127]E(f844(f844(f110(f916(x41271,a904)),f844(f310(x41271,x41272,x41273),x41274)),f844(f310(x41271,x41272,x41273),x41275)),f844(f310(x41271,x41272,x41273),f844(f844(f110(f916(x41272,a904)),x41274),x41275)))
% 201.98/201.92 [4128]E(f844(f844(f3(f916(x41281,a904)),f844(f310(x41281,x41282,x41283),x41284)),f844(f310(x41281,x41282,x41283),x41285)),f844(f310(x41281,x41282,x41283),f844(f844(f3(f916(x41282,a904)),x41284),x41285)))
% 201.98/201.92 [4129]E(f844(f844(f101(f916(x41291,a904)),f844(f310(x41291,x41292,x41293),x41294)),f844(f310(x41291,x41292,x41293),x41295)),f844(f310(x41291,x41292,x41293),f844(f844(f101(f916(x41292,a904)),x41294),x41295)))
% 201.98/201.92 [4190]E(f844(f844(f159(x41901,f844(f844(f134(x41901),x41902),f844(f844(f151(x41901),x41903),x41904))),f844(f189(f909(x41901)),x41902)),x41905),f844(f844(f134(x41901),x41902),f844(f844(f151(x41901),x41905),x41904)))
% 201.98/201.92 [4197]E(f844(f844(f38(x41971,f916(x41972,a904)),x41973),f844(f844(f10(f916(x41972,a904),f916(x41972,a904),x41971),f844(f308(x41972),x41974)),x41975)),f844(f844(f308(x41972),x41974),f844(f844(f38(x41971,f916(x41972,a904)),x41973),x41975)))
% 201.98/201.92 [4353]E(f844(f844(f154(x43531,x43532),x43533),f844(f136(x43531,f844(f72(x43532,a904,x43531,x43534),x43533)),x43535)),f844(f136(x43532,x43534),f844(f844(f154(x43531,x43532),x43533),x43535)))
% 201.98/201.92 [4359]E(f844(f189(f909(x43591)),f844(f136(x43591,x43592),f844(f844(f154(x43593,x43591),x43594),x43595))),f844(f189(f909(x43593)),f844(f136(x43593,f844(f72(x43591,a904,x43593,x43592),x43594)),x43595)))
% 201.98/201.92 [4566]E(f844(f156(f909(f915(x45661,x45662)),x45662,f113(f915(x45661,x45662)),f844(f844(f9(x45662,f916(f909(x45662),f909(f915(x45661,x45662))),f916(f909(x45662),f909(f915(x45661,x45662)))),f844(f844(f10(f916(f909(f915(x45661,x45662)),f909(f915(x45661,x45662))),f916(f916(f909(x45662),f909(f915(x45661,x45662))),f916(f909(x45662),f909(f915(x45661,x45662)))),x45662),f10(f909(f915(x45661,x45662)),f909(f915(x45661,x45662)),f909(x45662))),f844(f844(f10(f915(x45661,x45662),f916(f909(f915(x45661,x45662)),f909(f915(x45661,x45662))),x45662),f151(f915(x45661,x45662))),f844(f251(x45661,x45662),x45663)))),f844(f181(x45661,x45662),x45664))),x45665),f844(f844(f181(x45661,x45662),f844(f844(f151(x45661),x45663),x45664)),x45665))
% 201.98/201.92 [4056]E(f844(f844(f159(x40561,f844(f844(f159(x40561,x40562),x40563),x40564)),x40563),x40565),f844(f844(f159(x40561,x40562),x40563),x40565))
% 201.98/201.92 [4109]E(f844(f283(x41091,x41092),f844(f844(f308(f915(x41091,x41092)),f844(f844(f251(x41091,x41092),x41093),x41094)),x41095)),f844(f844(f308(x41092),x41094),f844(f283(x41091,x41092),x41095)))
% 201.98/201.92 [4110]E(f844(f263(x41101,x41102),f844(f844(f308(f915(x41101,x41102)),f844(f844(f251(x41101,x41102),x41103),x41104)),x41105)),f844(f844(f308(x41101),x41103),f844(f263(x41101,x41102),x41105)))
% 201.98/201.92 [4155]E(f122(x41551,x41552,f844(x41553,x41554),f844(f844(f9(x41551,a99,f910(f912(x41552))),x41555),x41554)),f844(f195(x41551,x41552,x41553,x41555),x41554))
% 201.98/201.92 [4183]E(f844(f844(f110(f916(f915(x41831,x41832),a904)),f844(f844(f253(x41831,x41832),x41833),x41834)),f844(f844(f253(x41831,x41832),x41835),x41834)),f844(f844(f253(x41831,x41832),f844(f844(f110(f916(x41831,a904)),x41833),x41835)),x41834))
% 201.98/201.92 [4184]E(f844(f844(f3(f916(f915(x41841,x41842),a904)),f844(f844(f253(x41841,x41842),x41843),x41844)),f844(f844(f253(x41841,x41842),x41845),x41844)),f844(f844(f253(x41841,x41842),f844(f844(f3(f916(x41841,a904)),x41843),x41845)),x41844))
% 201.98/201.92 [4185]E(f844(f844(f101(f916(f915(x41851,x41852),a904)),f844(f844(f253(x41851,x41852),x41853),x41854)),f844(f844(f253(x41851,x41852),x41855),x41854)),f844(f844(f253(x41851,x41852),f844(f844(f101(f916(x41851,a904)),x41853),x41855)),x41854))
% 201.98/201.92 [4244]E(f844(f844(f101(f916(x42441,a904)),f844(f844(f38(x42442,f916(x42441,a904)),x42443),x42444)),f844(f844(f38(x42442,f916(x42441,a904)),x42445),x42444)),f844(f844(f38(x42442,f916(x42441,a904)),f844(f844(f110(f916(x42442,a904)),x42443),x42445)),x42444))
% 201.98/201.92 [4245]E(f844(f844(f110(f916(x42451,a904)),f844(f844(f39(x42452,f916(x42451,a904)),x42453),x42454)),f844(f844(f39(x42452,f916(x42451,a904)),x42455),x42454)),f844(f844(f39(x42452,f916(x42451,a904)),f844(f844(f110(f916(x42452,a904)),x42453),x42455)),x42454))
% 201.98/201.92 [4259]E(f844(f844(f38(x42591,f916(x42592,a904)),x42593),f844(f844(f10(f916(x42592,a904),f916(x42592,a904),x42591),f844(f110(f916(x42592,a904)),x42594)),x42595)),f844(f844(f110(f916(x42592,a904)),x42594),f844(f844(f38(x42591,f916(x42592,a904)),x42593),x42595)))
% 201.98/201.92 [4260]E(f844(f844(f39(x42601,f916(x42602,a904)),x42603),f844(f844(f10(f916(x42602,a904),f916(x42602,a904),x42601),f844(f3(f916(x42602,a904)),x42604)),x42605)),f844(f844(f3(f916(x42602,a904)),x42604),f844(f844(f38(x42601,f916(x42602,a904)),x42603),x42605)))
% 201.98/201.92 [4261]E(f844(f844(f39(x42611,f916(x42612,a904)),x42613),f844(f844(f10(f916(x42612,a904),f916(x42612,a904),x42611),f844(f101(f916(x42612,a904)),x42614)),x42615)),f844(f844(f101(f916(x42612,a904)),x42614),f844(f844(f39(x42611,f916(x42612,a904)),x42613),x42615)))
% 201.98/201.92 [4318]E(f185(f909(x43181),f844(f844(f151(x43181),x43182),x43183),f844(f844(f10(f909(x43181),f909(x43181),a908),f844(f151(x43181),x43184)),f844(f844(f9(a908,x43181,f909(x43181)),f159(x43181,x43183)),x43182)),x43185),f844(f844(f159(x43181,f844(f844(f151(x43181),x43184),x43183)),x43185),x43182))
% 201.98/201.92 [4322]E(f844(f844(f38(x43221,f916(f915(x43222,x43223),a904)),x43224),f844(f844(f10(f916(f915(x43223,x43222),a904),f916(f915(x43222,x43223),a904),x43221),f285(x43223,x43222)),x43225)),f844(f285(x43223,x43222),f844(f844(f38(x43221,f916(f915(x43223,x43222),a904)),x43224),x43225)))
% 201.98/201.92 [4323]E(f844(f844(f39(x43231,f916(f915(x43232,x43233),a904)),x43234),f844(f844(f10(f916(f915(x43233,x43232),a904),f916(f915(x43232,x43233),a904),x43231),f285(x43233,x43232)),x43235)),f844(f285(x43233,x43232),f844(f844(f39(x43231,f916(f915(x43233,x43232),a904)),x43234),x43235)))
% 201.98/201.92 [4424]P105(f844(f844(f234(f916(x44241,a904)),f844(f844(f3(f916(x44241,a904)),f844(f309(x44242,x44241,x44243),x44244)),f844(f309(x44242,x44241,x44243),x44245))),f844(f309(x44242,x44241,x44243),f844(f844(f3(f916(x44242,a904)),x44244),x44245))))
% 201.98/201.92 [4569]E(f844(f156(f909(f915(x45691,x45692)),x45691,f113(f915(x45691,x45692)),f844(f844(f9(x45691,f916(f909(x45691),f909(f915(x45691,x45692))),f916(f909(x45691),f909(f915(x45691,x45692)))),f844(f844(f10(f916(f909(f915(x45691,x45692)),f909(f915(x45691,x45692))),f916(f916(f909(x45691),f909(f915(x45691,x45692))),f916(f909(x45691),f909(f915(x45691,x45692)))),x45691),f10(f909(f915(x45691,x45692)),f909(f915(x45691,x45692)),f909(x45691))),f844(f844(f10(f915(x45691,x45692),f916(f909(f915(x45691,x45692)),f909(f915(x45691,x45692))),x45691),f151(f915(x45691,x45692))),f844(f844(f9(x45691,x45692,f915(x45691,x45692)),f251(x45691,x45692)),x45693)))),f844(f844(f9(f909(x45691),f909(x45692),f909(f915(x45691,x45692))),f181(x45691,x45692)),x45694))),x45695),f844(f844(f181(x45691,x45692),x45695),f844(f844(f151(x45692),x45693),x45694)))
% 201.98/201.92 [4287]E(f844(f844(f110(f916(x42871,a904)),f844(f284(x42872,x42871,x42873),x42874)),f844(f284(x42872,x42871,x42875),x42874)),f844(f284(x42872,x42871,f844(f844(f110(f916(f915(x42872,x42871),a904)),x42873),x42875)),x42874))
% 201.98/201.92 [4324]E(f844(f844(f134(f915(x43241,x43242)),f844(f844(f181(x43241,x43242),x43243),f844(f844(f175(x43242),f844(f189(f909(x43241)),x43243)),x43244))),f844(f844(f181(x43241,x43242),x43245),f844(f844(f138(x43242),f844(f189(f909(x43241)),x43243)),x43244))),f844(f844(f181(x43241,x43242),f844(f844(f134(x43241),x43243),x43245)),x43244))
% 201.98/201.92 [4427]E(f844(f844(f253(x44271,x44272),x44273),f844(f844(f20(x44271,f916(x44272,a904),f916(x44272,a904)),f844(f844(f10(f916(x44272,a904),f916(f916(x44272,a904),f916(x44272,a904)),x44271),f110(f916(x44272,a904))),x44274)),x44275)),f844(f844(f110(f916(f915(x44271,x44272),a904)),f844(f844(f253(x44271,x44272),x44273),x44274)),f844(f844(f253(x44271,x44272),x44273),x44275)))
% 201.98/201.92 [4428]E(f844(f844(f253(x44281,x44282),x44283),f844(f844(f20(x44281,f916(x44282,a904),f916(x44282,a904)),f844(f844(f10(f916(x44282,a904),f916(f916(x44282,a904),f916(x44282,a904)),x44281),f3(f916(x44282,a904))),x44284)),x44285)),f844(f844(f3(f916(f915(x44281,x44282),a904)),f844(f844(f253(x44281,x44282),x44283),x44284)),f844(f844(f253(x44281,x44282),x44283),x44285)))
% 201.98/201.92 [4429]E(f844(f844(f253(x44291,x44292),x44293),f844(f844(f20(x44291,f916(x44292,a904),f916(x44292,a904)),f844(f844(f10(f916(x44292,a904),f916(f916(x44292,a904),f916(x44292,a904)),x44291),f101(f916(x44292,a904))),x44294)),x44295)),f844(f844(f101(f916(f915(x44291,x44292),a904)),f844(f844(f253(x44291,x44292),x44293),x44294)),f844(f844(f253(x44291,x44292),x44293),x44295)))
% 201.98/201.92 [4433]E(f844(f844(f38(x44331,f916(x44332,a904)),x44333),f844(f844(f9(x44331,f916(x44332,a904),f916(x44332,a904)),f844(f844(f10(f916(x44332,a904),f916(f916(x44332,a904),f916(x44332,a904)),x44331),f110(f916(x44332,a904))),x44334)),x44335)),f844(f844(f110(f916(x44332,a904)),f844(f844(f38(x44331,f916(x44332,a904)),x44333),x44334)),x44335))
% 201.98/201.92 [4434]E(f844(f844(f39(x44341,f916(x44342,a904)),x44343),f844(f844(f9(x44341,f916(x44342,a904),f916(x44342,a904)),f844(f844(f10(f916(x44342,a904),f916(f916(x44342,a904),f916(x44342,a904)),x44341),f3(f916(x44342,a904))),x44344)),x44345)),f844(f844(f3(f916(x44342,a904)),f844(f844(f39(x44341,f916(x44342,a904)),x44343),x44344)),x44345))
% 201.98/201.92 [4435]E(f844(f844(f39(x44351,f916(x44352,a904)),x44353),f844(f844(f9(x44351,f916(x44352,a904),f916(x44352,a904)),f844(f844(f10(f916(x44352,a904),f916(f916(x44352,a904),f916(x44352,a904)),x44351),f101(f916(x44352,a904))),x44354)),x44355)),f844(f844(f101(f916(x44352,a904)),f844(f844(f39(x44351,f916(x44352,a904)),x44353),x44354)),x44355))
% 201.98/201.92 [4439]E(f844(f844(f38(x44391,f916(x44392,a904)),x44393),f844(f844(f20(x44391,f916(x44392,a904),f916(x44392,a904)),f844(f844(f10(f916(x44392,a904),f916(f916(x44392,a904),f916(x44392,a904)),x44391),f101(f916(x44392,a904))),x44394)),x44395)),f844(f844(f101(f916(x44392,a904)),f844(f844(f38(x44391,f916(x44392,a904)),x44393),x44394)),f844(f844(f38(x44391,f916(x44392,a904)),x44393),x44395)))
% 201.98/201.92 [4440]E(f844(f844(f39(x44401,f916(x44402,a904)),x44403),f844(f844(f20(x44401,f916(x44402,a904),f916(x44402,a904)),f844(f844(f10(f916(x44402,a904),f916(f916(x44402,a904),f916(x44402,a904)),x44401),f110(f916(x44402,a904))),x44404)),x44405)),f844(f844(f110(f916(x44402,a904)),f844(f844(f39(x44401,f916(x44402,a904)),x44403),x44404)),f844(f844(f39(x44401,f916(x44402,a904)),x44403),x44405)))
% 201.98/201.92 [4453]E(f844(f844(f38(x44531,f916(x44532,a904)),x44533),f844(f844(f20(x44531,f916(x44532,a904),f916(x44532,a904)),f844(f844(f10(f916(x44532,a904),f916(f916(x44532,a904),f916(x44532,a904)),x44531),f101(f916(x44532,a904))),x44534)),x44535)),f844(f844(f101(f916(x44532,a904)),f37(f916(x44532,a904),f844(f309(x44531,f916(x44532,a904),x44534),x44533))),f37(f916(x44532,a904),f844(f309(x44531,f916(x44532,a904),x44535),x44533))))
% 201.98/201.92 [4454]E(f844(f844(f39(x44541,f916(x44542,a904)),x44543),f844(f844(f20(x44541,f916(x44542,a904),f916(x44542,a904)),f844(f844(f10(f916(x44542,a904),f916(f916(x44542,a904),f916(x44542,a904)),x44541),f110(f916(x44542,a904))),x44544)),x44545)),f844(f844(f110(f916(x44542,a904)),f36(f916(x44542,a904),f844(f309(x44541,f916(x44542,a904),x44544),x44543))),f36(f916(x44542,a904),f844(f309(x44541,f916(x44542,a904),x44545),x44543))))
% 201.98/201.92 [4490]E(f844(f844(f138(x44901),f844(f189(f909(x44901)),f177(x44901,x44902,f844(f844(f154(x44903,x44901),x44904),x44905)))),f844(f844(f154(x44903,x44901),x44904),x44905)),f844(f844(f154(x44903,x44901),x44904),f844(f844(f138(x44903),f844(f189(f909(x44903)),f177(x44903,f844(f72(x44901,a904,x44903,x44902),x44904),x44905))),x44905)))
% 201.98/201.92 [4366]E(f844(f844(f134(f915(x43661,x43662)),f844(f844(f181(x43661,x43662),f844(f844(f175(x43661),f844(f189(f909(x43662)),x43663)),x43664)),x43663)),f844(f844(f181(x43661,x43662),f844(f844(f138(x43661),f844(f189(f909(x43662)),x43663)),x43664)),x43665)),f844(f844(f181(x43661,x43662),x43664),f844(f844(f134(x43662),x43663),x43665)))
% 201.98/201.92 [4481]E(f84(x44811,f844(f844(f20(x44811,a904,a904),f844(f844(f10(a904,f916(a904,a904),x44811),a325),f844(f844(f9(x44811,f916(x44811,a904),a904),f328(x44811)),x44812))),f844(f844(f9(x44811,x44813,a904),f844(f844(f10(x44813,f916(x44813,a904),x44811),a324),x44814)),x44815))),f844(f76(x44811,x44813,x44812,x44814),x44815))
% 201.98/201.92 [4482]E(f89(x44821,f844(f844(f20(x44821,a904,a904),f844(f844(f10(a904,f916(a904,a904),x44821),a325),f844(f844(f9(x44821,f916(x44821,a904),a904),f328(x44821)),x44822))),f844(f844(f9(x44821,x44823,a904),f844(f844(f10(x44823,f916(x44823,a904),x44821),a324),x44824)),x44825))),f844(f90(x44821,x44823,x44822,x44824),x44825))
% 201.98/201.92 [4530]E(f844(f844(f85(a1,x45301),f844(f103(a1),f844(f844(f79(a1),x45302),a97))),f844(f844(f20(a1,x45301,x45301),f844(f844(f9(a1,x45301,f916(x45301,x45301)),f844(f844(f10(a904,f916(x45301,f916(x45301,x45301)),a1),f96(x45301)),a193)),f185(x45301,x45303,x45304,x45305))),f844(f844(f10(a908,x45301,a1),x45304),f844(f844(f9(a1,a908,a908),f844(f844(f10(a908,f916(a908,a908),a1),f79(a908)),a104)),x45305)))),f185(x45301,x45303,x45304,f844(f844(f79(a908),f844(f103(a908),x45302)),x45305)))
% 201.98/201.92 [4565]E(f844(f844(f85(a1,x45651),f844(f103(a1),f844(f844(f79(a1),x45652),a97))),f844(f844(f20(a1,x45651,x45651),f844(f844(f9(a1,x45651,f916(x45651,x45651)),f844(f844(f10(a904,f916(x45651,f916(x45651,x45651)),a1),f96(x45651)),a193)),f844(f184(x45651,x45653,x45654),x45655))),f844(f844(f20(a1,x45651,x45651),f844(f844(f10(a908,f916(x45651,x45651),a1),x45654),f844(f844(f9(a1,a908,a908),f844(f844(f10(a908,f916(a908,a908),a1),f79(a908)),a104)),x45655))),f844(f844(f10(a908,x45651,a1),f184(x45651,x45653,x45654)),f844(f844(f9(a1,a908,a908),f844(f844(f10(a908,f916(a908,a908),a1),f79(a908)),a104)),x45655))))),f844(f184(x45651,x45653,x45654),f844(f844(f79(a908),f844(f103(a908),x45652)),x45655)))
% 201.98/201.92 [4598]E(f844(f261(f915(x45981,x45982)),f844(f256(x45981,x45982,a904),f844(f844(f10(f916(x45982,f916(x45983,a904)),f916(x45982,a904),x45981),f844(f10(f916(x45983,a904),a904,x45982),f86(x45983))),f844(f844(f9(x45981,f916(x45982,f916(x45983,a904)),f916(x45982,f916(x45983,a904))),f844(f844(f10(f916(f916(x45983,a904),f916(x45983,a904)),f916(f916(x45982,f916(x45983,a904)),f916(x45982,f916(x45983,a904))),x45981),f10(f916(x45983,a904),f916(x45983,a904),x45982)),f844(f844(f10(f916(x45983,f916(a904,a904)),f916(f916(x45983,a904),f916(x45983,a904)),x45981),f20(x45983,a904,a904)),f844(f844(f10(f916(x45983,a904),f916(x45983,f916(a904,a904)),x45981),f844(f10(a904,f916(a904,a904),x45983),a325)),f844(f844(f9(x45981,f916(f915(x45981,x45983),a904),f916(x45983,a904)),f844(f844(f10(f916(x45983,f916(f916(f915(x45981,x45983),a904),a904)),f916(f916(f915(x45981,x45983),a904),f916(x45983,a904)),x45981),f9(x45983,f916(f915(x45981,x45983),a904),a904)),f844(f844(f10(f916(x45983,f915(x45981,x45983)),f916(x45983,f916(f916(f915(x45981,x45983),a904),a904)),x45981),f844(f10(f915(x45981,x45983),f916(f916(f915(x45981,x45983),a904),a904),x45983),f328(f915(x45981,x45983)))),f251(x45981,x45983)))),x45984))))),f844(f844(f9(x45982,f916(f915(x45983,x45982),a904),f916(x45983,a904)),f844(f844(f10(f916(x45983,f916(f916(f915(x45983,x45982),a904),a904)),f916(f916(f915(x45983,x45982),a904),f916(x45983,a904)),x45982),f9(x45983,f916(f915(x45983,x45982),a904),a904)),f844(f844(f10(f916(x45983,f915(x45983,x45982)),f916(x45983,f916(f916(f915(x45983,x45982),a904),a904)),x45982),f844(f10(f915(x45983,x45982),f916(f916(f915(x45983,x45982),a904),a904),x45983),f328(f915(x45983,x45982)))),f844(f9(x45983,x45982,f915(x45983,x45982)),f251(x45983,x45982))))),x45985))))),f844(f844(f288(x45981,x45983,x45982),x45984),x45985))
% 201.98/201.92 [4662]~E(f26(x46621,x46622,x46623),f27(x46624,x46625,x46626))
% 201.98/201.92 [4213]E(f224(x42131,x42132,x42133,x42134,f220(x42131,x42132,x42135,x42136)),f844(f844(x42134,x42135),x42136))
% 201.98/201.92 [4214]E(f225(x42141,x42142,x42143,x42144,f220(x42141,x42142,x42145,x42146)),f844(f844(x42144,x42145),x42146))
% 201.98/201.92 [4342]E(f127(x43421,x43422,x43423,x43424,f126(x43422,x43425,x43426)),f844(f844(f844(x43424,x43425),x43426),f127(x43421,x43422,x43423,x43424,x43426)))
% 201.98/201.92 [4361]E(f74(x43611,x43612,f74(x43611,x43612,x43613,x43614,x43615),x43614,x43616),f74(x43611,x43612,x43613,x43614,x43616))
% 201.98/201.92 [4469]E(f844(f72(f915(x44691,x44692),x44692,f915(x44693,x44694),f255(x44691,x44692)),f257(x44693,x44691,x44694,x44692,x44695,x44696)),f844(f72(x44694,x44692,f915(x44693,x44694),x44696),f255(x44693,x44694)))
% 201.98/201.92 [4470]E(f844(f72(f915(x44701,x44702),x44701,f915(x44703,x44704),f250(x44701,x44702)),f257(x44703,x44701,x44704,x44702,x44705,x44706)),f844(f72(x44703,x44701,f915(x44703,x44704),x44705),f250(x44703,x44704)))
% 201.98/201.92 [4032]E(f94(x40321,x40322,x40323,f91(x40321,x40324,x40325,x40326)),f844(f844(f844(x40323,x40324),x40325),x40326))
% 201.98/201.92 [4033]E(f95(x40331,x40332,x40333,f91(x40331,x40334,x40335,x40336)),f844(f844(f844(x40333,x40334),x40335),x40336))
% 201.98/201.92 [4085]E(f844(f844(f72(x40851,x40852,x40853,x40854),x40855),x40856),f844(x40854,f844(x40855,x40856)))
% 201.98/201.92 [4223]E(f223(x42231,f915(x42232,f910(x42232)),x42233,f844(f256(x42232,f910(x42232),x42231),x42234),f844(f135(x42232),f126(x42232,x42235,x42236))),f844(f844(x42234,x42235),x42236))
% 201.98/201.92 [4274]E(f226(x42741,x42742,x42743,x42744,f220(x42741,x42742,x42745,x42746)),f844(f844(f79(a908),f844(f844(f79(a908),f844(x42743,x42745)),f844(x42744,x42746))),f844(a112,f2(a908))))
% 201.98/201.92 [3881]E(f844(f844(f256(x38811,x38812,x38813),x38814),f844(f844(f251(x38811,x38812),x38815),x38816)),f844(f844(x38814,x38815),x38816))
% 201.98/201.92 [3943]E(f844(f844(f844(f10(x39431,x39432,x39433),x39434),x39435),x39436),f844(x39434,f844(x39435,x39436)))
% 201.98/201.92 [3944]E(f844(f844(f844(f9(x39441,x39442,x39443),x39444),x39445),x39446),f844(f844(x39444,x39446),x39445))
% 201.98/201.92 [3960]E(f844(f844(f844(f20(x39601,x39602,x39603),x39604),x39605),x39606),f844(f844(x39604,x39606),f844(x39605,x39606)))
% 201.98/201.92 [3983]E(f844(f156(x39831,x39832,x39833,x39834),f844(f844(f151(x39832),x39835),x39836)),f844(f844(x39834,x39835),x39836))
% 201.98/201.92 [4021]E(f169(f915(x40211,x40212),f844(f844(f232(a908),x40213),x40214),f844(f844(f251(x40211,x40212),x40215),x40216)),f844(f844(f181(x40211,x40212),f169(x40211,x40213,x40215)),f169(x40212,x40214,x40216)))
% 201.98/201.92 [4089]E(f844(f844(f151(f915(x40891,x40892)),f844(f844(f251(x40891,x40892),x40893),x40894)),f844(f844(f181(x40891,x40892),x40895),x40896)),f844(f844(f181(x40891,x40892),f844(f844(f151(x40891),x40893),x40895)),f844(f844(f151(x40892),x40894),x40896)))
% 201.98/201.92 [4090]E(f844(f844(f154(x40901,x40902),x40903),f844(f844(f159(x40901,x40904),x40905),x40906)),f844(f844(f159(x40902,f844(f844(f154(x40901,x40902),x40903),x40904)),x40905),f844(x40903,x40906)))
% 201.98/201.92 [4114]E(f844(f844(f254(x41141,x41142,x41143,x41144),x41145),x41146),f844(x41144,f844(f844(f251(x41141,x41142),x41145),x41146)))
% 201.98/201.92 [4130]E(f844(f142(x41301,x41302,x41303,x41304),f844(f844(f151(x41302),x41305),x41306)),f844(f142(x41301,x41302,x41303,f844(f844(x41303,x41304),x41305)),x41306))
% 201.98/201.92 [4156]E(f259(x41561,x41562,x41563,x41564,f844(f844(f251(x41561,x41562),x41565),x41566)),f844(f844(x41564,x41565),x41566))
% 201.98/201.92 [4237]E(f844(f844(f39(x42371,f916(x42372,a904)),x42373),f844(f72(x42374,f916(x42372,a904),x42371,x42375),x42376)),f844(f844(f39(x42374,f916(x42372,a904)),f844(f309(x42371,x42374,x42376),x42373)),x42375))
% 201.98/201.92 [4290]E(f844(f844(f154(x42901,x42902),x42903),f844(f844(f154(x42904,x42901),x42905),x42906)),f844(f844(f154(x42904,x42902),f844(f72(x42901,x42902,x42904,x42903),x42905)),x42906))
% 201.98/201.92 [4296]E(f844(f309(x42961,x42962,f844(f72(x42963,x42962,x42961,x42964),x42965)),x42966),f844(f309(x42963,x42962,x42964),f844(f309(x42961,x42963,x42965),x42966)))
% 201.98/201.92 [4297]E(f844(f310(x42971,x42972,f844(f72(x42973,x42972,x42971,x42974),x42975)),x42976),f844(f310(x42971,x42973,x42975),f844(f310(x42973,x42972,x42974),x42976)))
% 201.98/201.92 [4325]E(f844(f142(x43251,x43252,x43253,f844(f142(x43251,x43252,x43253,x43254),x43255)),x43256),f844(f142(x43251,x43252,x43253,x43254),f844(f844(f134(x43252),x43255),x43256)))
% 201.98/201.92 [4459]E(f844(f257(x44591,x44591,x44592,x44593,f31(x44591),x44594),f844(f844(f251(x44591,x44592),x44595),x44596)),f844(f844(f251(x44591,x44593),x44595),f844(x44594,x44596)))
% 201.98/201.92 [4460]E(f844(f257(x44601,x44602,x44603,x44603,x44604,f31(x44603)),f844(f844(f251(x44601,x44603),x44605),x44606)),f844(f844(f251(x44602,x44603),f844(x44604,x44605)),x44606))
% 201.98/201.92 [4548]E(f844(f844(f154(f915(x45481,x45482),f915(x45481,x45483)),f844(f256(x45481,x45482,f915(x45481,x45483)),f844(f844(f9(x45481,f916(x45482,x45483),f916(x45482,f915(x45481,x45483))),f844(f844(f10(f916(x45483,f915(x45481,x45483)),f916(f916(x45482,x45483),f916(x45482,f915(x45481,x45483))),x45481),f10(x45483,f915(x45481,x45483),x45482)),f251(x45481,x45483))),x45484))),f844(f844(f181(x45481,x45482),x45485),x45486)),f844(f844(f181(x45481,x45483),x45485),f844(f844(f154(x45482,x45483),x45484),x45486)))
% 201.98/201.92 [4140]E(f844(f844(f72(x41401,x41402,x41403,f844(f18(x41402,x41401),x41404)),x41405),x41406),x41404)
% 201.98/201.92 [4172]E(f844(f309(x41721,x41722,x41723),f844(f309(x41724,x41721,x41725),x41726)),f844(f309(x41724,x41722,f844(f844(f10(x41721,x41722,x41724),x41723),x41725)),x41726))
% 201.98/201.92 [4178]E(f844(f844(f38(x41781,f916(x41782,a904)),f844(f309(x41783,x41781,x41784),x41785)),x41786),f844(f844(f38(x41783,f916(x41782,a904)),x41785),f844(f844(f10(x41781,f916(x41782,a904),x41783),x41786),x41784)))
% 201.98/201.92 [4179]E(f844(f844(f39(x41791,f916(x41792,a904)),f844(f309(x41793,x41791,x41794),x41795)),x41796),f844(f844(f39(x41793,f916(x41792,a904)),x41795),f844(f844(f10(x41791,f916(x41792,a904),x41793),x41796),x41794)))
% 201.98/201.92 [4180]E(f844(f844(f38(x41801,f916(x41802,a904)),x41803),f844(f844(f10(x41804,f916(x41802,a904),x41801),x41805),x41806)),f844(f844(f38(x41804,f916(x41802,a904)),f844(f309(x41801,x41804,x41806),x41803)),x41805))
% 201.98/201.92 [4181]E(f844(f844(f39(x41811,f916(x41812,a904)),x41813),f844(f844(f10(x41814,f916(x41812,a904),x41811),x41815),x41816)),f844(f844(f39(x41814,f916(x41812,a904)),f844(f309(x41811,x41814,x41816),x41813)),x41815))
% 201.98/201.92 [4239]E(f844(f844(f39(x42391,f916(x42392,a904)),x42393),f844(f844(f10(f916(x42394,a904),f916(x42392,a904),x42391),f309(x42394,x42392,x42395)),x42396)),f844(f309(x42394,x42392,x42395),f844(f844(f39(x42391,f916(x42394,a904)),x42393),x42396)))
% 201.98/201.92 [4240]E(f844(f844(f39(x42401,f916(x42402,a904)),x42403),f844(f844(f10(f916(x42404,a904),f916(x42402,a904),x42401),f284(x42404,x42402,x42405)),x42406)),f844(f284(x42404,x42402,x42405),f844(f844(f39(x42401,f916(x42404,a904)),x42403),x42406)))
% 201.98/201.92 [4241]E(f844(f844(f38(x42411,f916(x42412,a904)),x42413),f844(f844(f10(f916(x42414,a904),f916(x42412,a904),x42411),f310(x42412,x42414,x42415)),x42416)),f844(f310(x42412,x42414,x42415),f844(f844(f38(x42411,f916(x42414,a904)),x42413),x42416)))
% 201.98/201.92 [4242]E(f844(f844(f39(x42421,f916(x42422,a904)),x42423),f844(f844(f10(f916(x42424,a904),f916(x42422,a904),x42421),f310(x42422,x42424,x42425)),x42426)),f844(f310(x42422,x42424,x42425),f844(f844(f39(x42421,f916(x42424,a904)),x42423),x42426)))
% 201.98/201.92 [4330]E(f844(f142(x43301,x43302,f844(f9(x43302,x43301,x43301),x43303),x43304),f844(f168(x43302),f844(f844(f151(x43302),x43305),x43306))),f844(f844(x43303,x43305),f844(f142(x43301,x43302,f844(f9(x43302,x43301,x43301),x43303),x43304),f844(f168(x43302),x43306))))
% 201.98/201.92 [4388]E(f844(f844(f20(f915(x43881,x43882),x43882,x43883),f844(f844(f10(x43884,f916(x43882,x43883),f915(x43881,x43882)),x43885),f844(f844(f10(x43881,x43884,f915(x43881,x43882)),x43886),f250(x43881,x43882)))),f255(x43881,x43882)),f844(f256(x43881,x43882,x43883),f844(f844(f10(x43884,f916(x43882,x43883),x43881),x43885),x43886)))
% 201.98/201.92 [4395]E(f844(f142(x43951,x43952,f844(f9(x43952,x43951,x43951),x43953),f844(f142(x43951,x43952,f844(f9(x43952,x43951,x43951),x43953),x43954),f844(f168(x43952),x43955))),f844(f168(x43952),x43956)),f844(f142(x43951,x43952,f844(f9(x43952,x43951,x43951),x43953),x43954),f844(f168(x43952),f844(f844(f134(x43952),x43956),x43955))))
% 201.98/201.92 [4397]E(f844(f844(f154(f915(x43971,x43972),f915(x43973,x43972)),f844(f256(x43971,x43972,f915(x43973,x43972)),f844(f844(f10(x43973,f916(x43972,f915(x43973,x43972)),x43971),f251(x43973,x43972)),x43974))),f844(f844(f181(x43971,x43972),x43975),x43976)),f844(f844(f181(x43973,x43972),f844(f844(f154(x43971,x43973),x43974),x43975)),x43976))
% 201.98/201.92 [4442]P105(f844(f844(f234(f916(x44421,a904)),f844(f284(x44422,x44421,x44423),f844(f844(f38(x44424,f916(x44422,a904)),x44425),x44426))),f844(f844(f38(x44424,f916(x44421,a904)),x44425),f844(f844(f10(f916(x44422,a904),f916(x44421,a904),x44424),f284(x44422,x44421,x44423)),x44426))))
% 201.98/201.92 [4252]E(f844(f844(f181(x42521,x42522),f844(f844(f159(x42521,x42523),x42524),f844(f250(x42521,x42522),x42525))),f844(f844(f159(x42522,x42526),x42524),f844(f255(x42521,x42522),x42525))),f844(f844(f159(f915(x42521,x42522),f844(f844(f181(x42521,x42522),x42523),x42526)),x42524),x42525))
% 201.98/201.92 [4313]E(f844(f844(f110(f916(f915(x43131,x43132),a904)),f844(f844(f288(x43131,x43133,x43132),x43134),x43135)),f844(f844(f288(x43131,x43133,x43132),x43134),x43136)),f844(f844(f288(x43131,x43133,x43132),x43134),f844(f844(f110(f916(f915(x43133,x43132),a904)),x43135),x43136)))
% 201.98/201.92 [4407]E(f844(f844(f308(f915(x44071,x44072)),f844(f844(f251(x44071,x44072),x44073),x44074)),f844(f844(f110(f916(f915(x44071,x44072),a904)),f844(f844(f253(x44071,x44072),x44075),f844(f18(f916(x44072,a904),x44071),f844(f844(f308(x44072),x44074),x44076)))),f844(f844(f253(x44071,x44072),f844(f844(f308(x44071),x44073),x44075)),f844(f18(f916(x44072,a904),x44071),x44076)))),f844(f844(f253(x44071,x44072),f844(f844(f308(x44071),x44073),x44075)),f844(f18(f916(x44072,a904),x44071),f844(f844(f308(x44072),x44074),x44076))))
% 201.98/201.92 [4486]E(f844(f844(f101(f916(x44861,a904)),f844(f310(x44861,x44862,f844(f72(f915(x44862,x44863),x44862,x44861,f250(x44862,x44863)),x44864)),x44865)),f844(f310(x44861,x44863,f844(f72(f915(x44862,x44863),x44863,x44861,f255(x44862,x44863)),x44864)),x44866)),f844(f310(x44861,f915(x44862,x44863),x44864),f844(f844(f253(x44862,x44863),x44865),f844(f18(f916(x44863,a904),x44862),x44866))))
% 201.98/201.92 [4336]E(f844(f844(f110(f916(f915(x43361,x43362),a904)),f844(f844(f288(x43361,x43363,x43362),x43364),x43365)),f844(f844(f288(x43361,x43363,x43362),x43366),x43365)),f844(f844(f288(x43361,x43363,x43362),f844(f844(f110(f916(f915(x43361,x43363),a904)),x43364),x43366)),x43365))
% 201.98/201.92 [4467]E(f844(f844(f38(x44671,f916(x44672,a904)),x44673),f844(f844(f9(x44671,f916(x44674,f916(x44672,a904)),f916(x44672,a904)),f844(f844(f10(f916(x44674,a904),f916(f916(x44674,f916(x44672,a904)),f916(x44672,a904)),x44671),f38(x44674,f916(x44672,a904))),x44675)),x44676)),f844(f844(f38(x44674,f916(x44672,a904)),f844(f844(f39(x44671,f916(x44674,a904)),x44673),x44675)),x44676))
% 201.98/201.92 [4468]E(f844(f844(f39(x44681,f916(x44682,a904)),x44683),f844(f844(f9(x44681,f916(x44684,f916(x44682,a904)),f916(x44682,a904)),f844(f844(f10(f916(x44684,a904),f916(f916(x44684,f916(x44682,a904)),f916(x44682,a904)),x44681),f39(x44684,f916(x44682,a904))),x44685)),x44686)),f844(f844(f39(x44684,f916(x44682,a904)),f844(f844(f39(x44681,f916(x44684,a904)),x44683),x44685)),x44686))
% 201.98/201.92 [4520]E(f844(f256(x45201,x45202,f915(x45203,x45204)),f844(f844(f9(x45201,f916(x45202,x45204),f916(x45202,f915(x45203,x45204))),f844(f844(f10(f916(x45204,f915(x45203,x45204)),f916(f916(x45202,x45204),f916(x45202,f915(x45203,x45204))),x45201),f10(x45204,f915(x45203,x45204),x45202)),f844(f844(f10(x45203,f916(x45204,f915(x45203,x45204)),x45201),f251(x45203,x45204)),x45205))),x45206)),f257(x45201,x45203,x45202,x45204,x45205,x45206))
% 201.98/201.92 [4543]E(f844(f309(x45431,x45432,f844(f844(f20(x45431,x45432,x45432),f844(f844(f20(x45431,x45432,f916(x45432,x45432)),f844(f844(f10(a904,f916(x45432,f916(x45432,x45432)),x45431),f96(x45432)),x45433)),x45434)),x45435)),x45436),f844(f844(f110(f916(x45432,a904)),f844(f309(x45431,x45432,x45434),f844(f844(f101(f916(x45431,a904)),x45436),f844(f261(x45431),x45433)))),f844(f309(x45431,x45432,x45435),f844(f844(f101(f916(x45431,a904)),x45436),f844(f261(x45431),f844(f844(f10(a904,a904,x45431),a321),x45433))))))
% 201.98/201.92 [4555]E(f844(f309(x45551,f915(x45552,x45553),f844(f844(f20(x45551,x45553,f915(x45552,x45553)),f844(f844(f10(x45552,f916(x45553,f915(x45552,x45553)),x45551),f251(x45552,x45553)),x45554)),x45555)),x45556),f844(f844(f253(x45552,x45553),f844(f309(x45551,x45552,x45554),x45556)),f844(f844(f10(f916(x45551,a904),f916(x45553,a904),x45552),f309(x45551,x45553,x45555)),f844(f844(f9(x45552,f916(x45551,a904),f916(x45551,a904)),f844(f844(f10(f916(x45551,a904),f916(f916(x45551,a904),f916(x45551,a904)),x45552),f101(f916(x45551,a904))),f844(f844(f10(f916(x45552,a904),f916(x45551,a904),x45552),f310(x45551,x45552,x45554)),f844(f844(f9(x45552,f916(x45552,a904),f916(x45552,a904)),f308(x45552)),f188(f916(x45552,a904)))))),x45556))))
% 201.98/201.92 [4580]E(f245(x45801,x45802,x45803,x45804,x45805,x45806),f844(x45804,f844(f261(x45801),f844(f844(f10(f916(f916(x45803,x45801),a904),a904,x45801),f86(f916(x45803,x45801))),f844(f844(f10(f916(f916(x45803,x45801),a904),f916(f916(x45803,x45801),a904),x45801),f844(f20(f916(x45803,x45801),a904,a904),f844(f844(f10(a904,f916(a904,a904),f916(x45803,x45801)),a325),f844(f844(f9(f916(x45803,x45801),f916(f916(x45803,x45801),a904),a904),f328(f916(x45803,x45801))),x45805)))),f844(f844(f9(x45801,f916(f916(x45803,x45801),x45801),f916(f916(x45803,x45801),a904)),f844(f844(f10(f916(x45801,a904),f916(f916(f916(x45803,x45801),x45801),f916(f916(x45803,x45801),a904)),x45801),f10(x45801,a904,f916(x45803,x45801))),a324)),f844(f844(f9(f916(x45803,x45801),x45803,x45801),f7(f916(x45803,x45801))),x45806)))))))
% 201.98/201.92 [4369]E(f844(f72(x43691,x43692,x43693,x43694),f74(x43693,x43691,x43695,x43696,x43697)),f74(x43693,x43692,f844(f72(x43691,x43692,x43693,x43694),x43695),x43696,f844(x43694,x43697)))
% 201.98/201.92 [4503]E(f844(f255(x45031,x45032),f844(f257(x45033,x45031,x45034,x45032,x45035,x45036),x45037)),f844(x45036,f844(f255(x45033,x45034),x45037)))
% 201.98/201.92 [4504]E(f844(f250(x45041,x45042),f844(f257(x45043,x45041,x45044,x45042,x45045,x45046),x45047)),f844(x45045,f844(f250(x45043,x45044),x45047)))
% 201.98/201.92 [4215]E(f844(f844(f181(x42151,x42152),f844(f844(f159(x42151,x42153),x42154),x42155)),f844(f844(f159(x42152,x42156),x42154),x42157)),f844(f844(f159(f915(x42151,x42152),f844(f844(f181(x42151,x42152),x42153),x42156)),x42154),f844(f844(f251(x42151,x42152),x42155),x42157)))
% 201.98/201.92 [4285]E(f844(f844(f844(f258(x42851,x42852,x42853,x42854),x42855),x42856),x42857),f844(f844(f256(x42852,x42853,x42854),x42856),f844(x42855,x42857)))
% 201.98/201.92 [4295]E(f844(f844(f844(f258(x42951,x42952,x42953,x42954),x42955),x42956),x42957),f844(f844(x42956,f844(f250(x42952,x42953),f844(x42955,x42957))),f844(f255(x42952,x42953),f844(x42955,x42957))))
% 201.98/201.92 [4347]E(f844(f72(x43471,x43472,x43473,x43474),f844(f72(x43475,x43471,x43473,x43476),x43477)),f844(f72(x43475,x43472,x43473,f844(f72(x43471,x43472,x43475,x43474),x43476)),x43477))
% 201.98/201.92 [4524]E(f844(f257(x45241,x45242,x45243,x45243,x45244,f31(x45243)),f844(f257(x45241,x45241,x45245,x45243,f31(x45241),x45246),x45247)),f844(f844(f251(x45242,x45243),f844(x45244,f844(f250(x45241,x45245),x45247))),f844(x45246,f844(f255(x45241,x45245),x45247))))
% 201.98/201.92 [4525]E(f844(f257(x45251,x45251,x45252,x45253,f31(x45251),x45254),f844(f257(x45255,x45251,x45252,x45252,x45256,f31(x45252)),x45257)),f844(f844(f251(x45251,x45253),f844(x45256,f844(f250(x45255,x45252),x45257))),f844(x45254,f844(f255(x45255,x45252),x45257))))
% 201.98/201.92 [4541]E(f844(f257(x45411,x45412,x45413,x45413,x45414,f31(x45413)),f844(f257(x45415,x45411,x45413,x45413,x45416,f31(x45413)),x45417)),f844(f257(x45415,x45412,x45413,x45413,f844(f72(x45411,x45412,x45415,x45414),x45416),f31(x45413)),x45417))
% 201.98/201.92 [4542]E(f844(f257(x45421,x45421,x45422,x45423,f31(x45421),x45424),f844(f257(x45421,x45421,x45425,x45422,f31(x45421),x45426),x45427)),f844(f257(x45421,x45421,x45425,x45423,f31(x45421),f844(f72(x45422,x45423,x45425,x45424),x45426)),x45427))
% 201.98/201.92 [4552]E(f844(f257(x45521,x45522,x45523,x45523,x45524,f31(x45523)),f844(f257(x45521,x45521,x45525,x45523,f31(x45521),x45526),x45527)),f844(f257(x45522,x45522,x45525,x45523,f31(x45522),x45526),f844(f257(x45521,x45522,x45525,x45525,x45524,f31(x45525)),x45527)))
% 201.98/201.92 [4249]E(f844(f844(f288(x42491,x42492,x42493),f844(f844(f288(x42491,x42494,x42492),x42495),x42496)),x42497),f844(f844(f288(x42491,x42494,x42493),x42495),f844(f844(f288(x42494,x42492,x42493),x42496),x42497)))
% 201.98/201.92 [4319]E(f844(f844(f256(x43191,x43192,x43193),f844(f72(x43194,f916(x43192,x43193),x43191,x43195),x43196)),x43197),f844(f844(x43195,f844(x43196,f844(f250(x43191,x43192),x43197))),f844(f255(x43191,x43192),x43197)))
% 201.98/201.92 [4400]E(f844(f142(x44001,x44002,f844(f9(x44002,x44001,x44001),x44003),x44004),f844(f168(x44002),f844(f844(f154(x44005,x44002),x44006),x44007))),f844(f142(x44001,x44005,f844(f9(x44005,x44001,x44001),f844(f72(x44002,f916(x44001,x44001),x44005,x44003),x44006)),x44004),f844(f168(x44005),x44007)))
% 201.98/201.92 [4348]E(f844(f844(f39(x43481,f916(f915(x43482,x43483),a904)),x43484),f844(f844(f10(f916(f915(x43485,x43483),a904),f916(f915(x43482,x43483),a904),x43481),f844(f288(x43482,x43485,x43483),x43486)),x43487)),f844(f844(f288(x43482,x43485,x43483),x43486),f844(f844(f39(x43481,f916(f915(x43485,x43483),a904)),x43484),x43487)))
% 201.98/201.92 [4491]E(f844(f844(f39(x44911,f916(f915(x44912,x44913),a904)),x44914),f844(f844(f9(x44911,f916(f915(x44915,x44913),a904),f916(f915(x44912,x44913),a904)),f844(f844(f10(f916(f915(x44912,x44915),a904),f916(f916(f915(x44915,x44913),a904),f916(f915(x44912,x44913),a904)),x44911),f288(x44912,x44915,x44913)),x44916)),x44917)),f844(f844(f288(x44912,x44915,x44913),f844(f844(f39(x44911,f916(f915(x44912,x44915),a904)),x44914),x44916)),x44917))
% 201.98/201.92 [4492]E(f844(f142(x44921,x44922,f844(f844(f9(x44921,f916(x44922,x44923),f916(x44922,x44921)),f844(f844(f10(f916(x44923,x44921),f916(f916(x44922,x44923),f916(x44922,x44921)),x44921),f10(x44923,x44921,x44922)),x44924)),x44925),x44926),x44927),f844(f142(x44921,x44923,x44924,x44926),f844(f844(f154(x44922,x44923),x44925),x44927)))
% 201.98/201.92 [4553]E(f844(f844(f38(x45531,f916(x45532,a904)),x45533),f844(f844(f10(f916(x45534,f916(x45532,a904)),f916(x45532,a904),x45531),f844(f38(x45534,f916(x45532,a904)),x45535)),f844(f844(f9(x45531,f916(x45534,f916(x45532,a904)),f916(x45534,f916(x45532,a904))),f844(f844(f10(f916(f916(x45532,a904),f916(x45532,a904)),f916(f916(x45534,f916(x45532,a904)),f916(x45534,f916(x45532,a904))),x45531),f10(f916(x45532,a904),f916(x45532,a904),x45534)),f844(f844(f10(f916(x45532,a904),f916(f916(x45532,a904),f916(x45532,a904)),x45531),f110(f916(x45532,a904))),x45536))),x45537))),f844(f844(f110(f916(x45532,a904)),f844(f844(f38(x45531,f916(x45532,a904)),x45533),x45536)),f844(f844(f38(x45534,f916(x45532,a904)),x45535),x45537)))
% 201.98/201.92 [4554]E(f844(f844(f39(x45541,f916(x45542,a904)),x45543),f844(f844(f10(f916(x45544,f916(x45542,a904)),f916(x45542,a904),x45541),f844(f39(x45544,f916(x45542,a904)),x45545)),f844(f844(f9(x45541,f916(x45544,f916(x45542,a904)),f916(x45544,f916(x45542,a904))),f844(f844(f10(f916(f916(x45542,a904),f916(x45542,a904)),f916(f916(x45544,f916(x45542,a904)),f916(x45544,f916(x45542,a904))),x45541),f10(f916(x45542,a904),f916(x45542,a904),x45544)),f844(f844(f10(f916(x45542,a904),f916(f916(x45542,a904),f916(x45542,a904)),x45541),f101(f916(x45542,a904))),x45546))),x45547))),f844(f844(f101(f916(x45542,a904)),f844(f844(f39(x45541,f916(x45542,a904)),x45543),x45546)),f844(f844(f39(x45544,f916(x45542,a904)),x45545),x45547)))
% 201.98/201.92 [4546]E(f197(x45461,x45462,f844(f844(f844(x45463,x45464),x45465),x45466),f844(f844(f9(x45461,f915(a99,a99),f916(a99,f910(x45462))),f844(f844(f9(x45461,a99,f916(f915(a99,a99),f916(a99,f910(x45462)))),f844(f844(f9(x45461,a99,f916(a99,f916(f915(a99,a99),f916(a99,f910(x45462))))),x45467),x45464)),x45465)),x45466)),f844(f844(f844(f209(x45461,x45462,x45463,x45467),x45464),x45465),x45466))
% 201.98/201.92 [4560]E(f198(x45601,x45602,f844(f844(f844(x45603,x45604),x45605),x45606),f844(f844(f9(x45601,f915(a99,a99),f916(a99,f910(x45602))),f844(f844(f9(x45601,a99,f916(f915(a99,a99),f916(a99,f910(x45602)))),f844(f844(f9(x45601,a99,f916(a99,f916(f915(a99,a99),f916(a99,f910(x45602))))),x45607),x45604)),x45605)),x45606)),f211(x45601,x45602,x45603,x45607,x45604,x45605,x45606))
% 201.98/201.92 [4551]E(f195(x45511,x45512,f844(f844(f844(x45513,x45514),x45515),x45516),f844(f844(f9(x45511,f915(a99,a99),f916(a99,f910(f912(x45512)))),f844(f844(f9(x45511,a99,f916(f915(a99,a99),f916(a99,f910(f912(x45512))))),f844(f844(f9(x45511,a99,f916(a99,f916(f915(a99,a99),f916(a99,f910(f912(x45512)))))),x45517),x45514)),x45515)),x45516)),f844(f844(f844(f205(x45511,x45512,x45513,x45517),x45514),x45515),x45516))
% 201.98/201.92 [4562]E(f196(x45621,x45622,f844(f844(f844(x45623,x45624),x45625),x45626),f844(f844(f9(x45621,f915(a99,a99),f916(a99,f910(f912(x45622)))),f844(f844(f9(x45621,a99,f916(f915(a99,a99),f916(a99,f910(f912(x45622))))),f844(f844(f9(x45621,a99,f916(a99,f916(f915(a99,a99),f916(a99,f910(f912(x45622)))))),x45627),x45624)),x45625)),x45626)),f207(x45621,x45622,x45623,x45627,x45624,x45625,x45626))
% 201.98/201.92 [4461]E(f844(f257(x44611,x44612,x44613,x44614,x44615,x44616),f844(f844(f251(x44611,x44613),x44617),x44618)),f844(f844(f251(x44612,x44614),f844(x44615,x44617)),f844(x44616,x44618)))
% 201.98/201.92 [4564]E(f844(f844(f154(f915(x45641,x45642),f915(x45643,x45644)),f844(f256(x45641,x45642,f915(x45643,x45644)),f844(f844(f9(x45641,f916(x45642,x45644),f916(x45642,f915(x45643,x45644))),f844(f844(f10(f916(x45644,f915(x45643,x45644)),f916(f916(x45642,x45644),f916(x45642,f915(x45643,x45644))),x45641),f10(x45644,f915(x45643,x45644),x45642)),f844(f844(f10(x45643,f916(x45644,f915(x45643,x45644)),x45641),f251(x45643,x45644)),x45645))),x45646))),f844(f844(f181(x45641,x45642),x45647),x45648)),f844(f844(f181(x45643,x45644),f844(f844(f154(x45641,x45643),x45645),x45647)),f844(f844(f154(x45642,x45644),x45646),x45648)))
% 201.98/201.92 [4567]E(f844(f844(f154(f915(x45671,x45672),x45673),f844(f256(x45671,x45672,x45673),f844(f844(f10(f916(x45672,f915(x45671,x45674)),f916(x45672,x45673),x45671),f844(f10(f915(x45671,x45674),x45673,x45672),x45675)),f844(f844(f9(x45671,f916(x45672,x45674),f916(x45672,f915(x45671,x45674))),f844(f844(f10(f916(x45674,f915(x45671,x45674)),f916(f916(x45672,x45674),f916(x45672,f915(x45671,x45674))),x45671),f10(x45674,f915(x45671,x45674),x45672)),f251(x45671,x45674))),x45676)))),f844(f844(f181(x45671,x45672),x45677),x45678)),f844(f844(f154(f915(x45671,x45674),x45673),x45675),f844(f844(f181(x45671,x45674),x45677),f844(f844(f154(x45672,x45674),x45676),x45678))))
% 201.98/201.92 [4495]E(f844(f844(f154(f915(x44951,x44952),x44953),f844(f256(x44951,x44952,x44953),f844(f844(f10(f916(x44952,f915(x44954,x44952)),f916(x44952,x44953),x44951),f844(f10(f915(x44954,x44952),x44953,x44952),x44955)),f844(f844(f10(x44954,f916(x44952,f915(x44954,x44952)),x44951),f251(x44954,x44952)),x44956)))),f844(f844(f181(x44951,x44952),x44957),x44958)),f844(f844(f154(f915(x44954,x44952),x44953),x44955),f844(f844(f181(x44954,x44952),f844(f844(f154(x44951,x44954),x44956),x44957)),x44958)))
% 201.98/201.92 [4452]E(f844(f844(f256(x44521,x44522,x44523),f844(f844(f10(f916(x44522,f915(x44524,x44525)),f916(x44522,x44523),x44521),f844(f10(f915(x44524,x44525),x44523,x44522),f844(f256(x44524,x44525,x44523),x44526))),x44527)),x44528),f844(f844(f256(x44524,x44525,x44523),x44526),f844(f844(f256(x44521,x44522,f915(x44524,x44525)),x44527),x44528)))
% 201.98/201.92 [4568]E(f844(f844(f39(f915(x45681,x45682),f916(f915(x45683,x45684),a904)),f844(f844(f253(x45681,x45682),x45685),f844(f18(f916(x45682,a904),x45681),x45686))),f844(f256(x45681,x45682,f916(f915(x45683,x45684),a904)),f844(f844(f9(x45681,f916(x45682,f916(x45683,f916(x45684,a904))),f916(x45682,f916(f915(x45683,x45684),a904))),f844(f844(f10(f916(f916(x45683,f916(x45684,a904)),f916(f915(x45683,x45684),a904)),f916(f916(x45682,f916(x45683,f916(x45684,a904))),f916(x45682,f916(f915(x45683,x45684),a904))),x45681),f10(f916(x45683,f916(x45684,a904)),f916(f915(x45683,x45684),a904),x45682)),f844(f844(f10(f916(x45683,a904),f916(f916(x45683,f916(x45684,a904)),f916(f915(x45683,x45684),a904)),x45681),f253(x45683,x45684)),x45687))),f844(f844(f10(f916(x45684,a904),f916(x45683,f916(x45684,a904)),x45682),f18(f916(x45684,a904),x45683)),x45688)))),f844(f844(f253(x45683,x45684),f844(f844(f39(x45681,f916(x45683,a904)),x45685),x45687)),f844(f18(f916(x45684,a904),x45683),f844(f844(f39(x45682,f916(x45684,a904)),x45686),x45688))))
% 201.98/201.92 [4509]E(f844(f844(f258(x45091,x45092,x45093,x45094),f844(f844(f258(x45091,x45095,x45096,f915(x45092,x45093)),x45097),x45098)),x45099),f844(f844(f258(x45091,x45095,x45096,x45094),x45097),f844(f844(f9(x45095,f916(x45092,f916(x45093,x45094)),f916(x45096,x45094)),f844(f844(f10(f916(x45096,f915(x45092,x45093)),f916(f916(x45092,f916(x45093,x45094)),f916(x45096,x45094)),x45095),f258(x45096,x45092,x45093,x45094)),x45098)),x45099)))
% 201.98/201.92 [4538]E(f844(f72(f915(x45381,x45382),f915(x45383,x45384),f915(x45385,x45386),f257(x45381,x45383,x45382,x45384,x45387,x45388)),f257(x45385,x45381,x45386,x45382,x45389,x453810)),f257(x45385,x45383,x45386,x45384,f844(f72(x45381,x45383,x45385,x45387),x45389),f844(f72(x45382,x45384,x45386,x45388),x453810)))
% 201.98/201.92 [4544]E(f844(f257(x45441,x45442,x45443,x45444,x45445,x45446),f844(f257(x45447,x45441,x45448,x45443,x45449,x454410),x454411)),f844(f257(x45447,x45442,x45448,x45444,f844(f72(x45441,x45442,x45447,x45445),x45449),f844(f72(x45443,x45444,x45448,x45446),x454410)),x454411))
% 201.98/201.92 [4690]~P3(x46901)+P3(f912(x46901))
% 201.98/201.92 [4691]~P61(x46911)+P61(f912(x46911))
% 201.98/201.92 [4692]~P103(x46921)+P103(f909(x46921))
% 201.98/201.92 [4695]~P142(x46951)+~E(f77(x46951),f2(x46951))
% 201.98/201.92 [4697]~E(x46971,f2(a99))+E(f844(a24,x46971),f2(a1))
% 201.98/201.92 [4698]~E(x46981,f2(a1))+E(f81(a1,x46981),f2(a1))
% 201.98/201.92 [4704]~P143(x47041)+P27(x47041,f2(x47041))
% 201.98/201.92 [4706]~P108(x47061)+P12(x47061,f113(x47061))
% 201.98/201.92 [4715]P105(x47151)+P105(f844(a321,x47151))
% 201.98/201.92 [4769]~P143(x47691)+~P27(x47691,f77(x47691))
% 201.98/201.92 [4810]~P105(x48101)+~P105(f844(a321,x48101))
% 201.98/201.92 [4831]E(f844(a104,x48311),f2(a908))+~P105(f844(a193,x48311))
% 201.98/201.92 [4897]~P67(x48971)+P15(x48971,x48971,f80(x48971))
% 201.98/201.92 [4898]~P100(x48981)+P13(x48981,x48981,f110(x48981))
% 201.98/201.92 [4899]~P96(x48991)+P13(x48991,x48991,f80(x48991))
% 201.98/201.92 [4900]~P101(x49001)+P13(x49001,x49001,f101(x49001))
% 201.98/201.92 [4901]~P108(x49011)+P13(x49011,x49011,f232(x49011))
% 201.98/201.92 [4902]~P108(x49021)+P13(x49021,x49021,f233(x49021))
% 201.98/201.92 [4701]~E(x47011,f2(a908))+E(f844(f100(a1),x47011),f2(a1))
% 201.98/201.92 [4708]~P94(x47081)+E(f844(f103(x47081),a82),f2(x47081))
% 201.98/201.92 [4711]~E(f568(x47111),f2(a908))+E(f844(f165(a908),x47111),f2(a908))
% 201.98/201.92 [4712]~P107(x47121)+E(f236(x47121,f234(x47121)),f232(x47121))
% 201.98/201.92 [4713]~P107(x47131)+E(f237(x47131,f234(x47131)),f233(x47131))
% 201.98/201.92 [4714]~P90(x47141)+E(f81(x47141,f2(x47141)),f2(x47141))
% 201.98/201.92 [4723]~P143(x47231)+E(f844(f100(x47231),f77(a908)),f77(x47231))
% 201.98/201.92 [4724]~P143(x47241)+E(f844(f100(x47241),f2(a908)),f2(x47241))
% 201.98/201.92 [4725]~P140(x47251)+E(f844(f102(x47251),f77(a1)),f77(x47251))
% 201.98/201.92 [4726]~P140(x47261)+E(f844(f102(x47261),f2(a1)),f2(x47261))
% 201.98/201.92 [4727]E(x47271,f2(a908))+~E(f844(f100(a1),x47271),f2(a1))
% 201.98/201.92 [4763]~P118(x47631)+E(f844(f75(x47631),f77(x47631)),f77(x47631))
% 201.98/201.92 [4764]~P86(x47641)+E(f844(f75(x47641),f2(x47641)),f2(x47641))
% 201.98/201.92 [4765]~P95(x47651)+E(f844(f78(x47651),f188(x47651)),f241(x47651))
% 201.98/201.92 [4766]~P73(x47661)+E(f844(f78(x47661),f2(x47661)),f2(x47661))
% 201.98/201.92 [4767]~P95(x47671)+E(f844(f78(x47671),f241(x47671)),f188(x47671))
% 201.98/201.92 [4768]~P82(x47681)+E(f844(f165(x47681),f113(x47681)),f2(x47681))
% 201.98/201.92 [4786]~P35(x47861)+P39(f844(f172(a1),x47861))
% 201.98/201.92 [4815]~P94(x48151)+E(f844(f78(x48151),f77(x48151)),f844(f103(x48151),a97))
% 201.98/201.92 [4830]~P94(x48301)+P27(x48301,f844(f103(x48301),a82))
% 201.98/201.92 [4856]P35(x48561)+~P39(f844(f172(a1),x48561))
% 201.98/201.92 [4903]E(f844(f100(a1),f844(a104,x49031)),x49031)+P105(f844(a193,x49031))
% 201.98/201.92 [4973]~P115(x49731)+E(f244(x49731,f77(x49731),f80(x49731)),f243(x49731))
% 201.98/201.92 [5006]~P94(x50061)+~P27(x50061,f844(f103(x50061),a97))
% 201.98/201.92 [5159]E(f844(f75(a1),x51591),x51591)+P105(f844(f844(f235(a1),x51591),f2(a1)))
% 201.98/201.92 [5177]~E(f844(a104,x51771),f2(a908))+P105(f844(f844(f234(a1),x51771),f2(a1)))
% 201.98/201.92 [5243]~P105(f844(a193,x52431))+P105(f844(f844(f235(a1),x52431),f2(a1)))
% 201.98/201.92 [5283]~P124(x52831)+P105(f844(f844(f234(x52831),f2(x52831)),f77(x52831)))
% 201.98/201.92 [5284]~P140(x52841)+P105(f844(f844(f328(x52841),f77(x52841)),f109(x52841)))
% 201.98/201.92 [5285]~P143(x52851)+P105(f844(f844(f328(x52851),f77(x52851)),f186(x52851)))
% 201.98/201.92 [5286]~P140(x52861)+P105(f844(f844(f328(x52861),f2(x52861)),f109(x52861)))
% 201.98/201.92 [5287]~P143(x52871)+P105(f844(f844(f328(x52871),f2(x52871)),f186(x52871)))
% 201.98/201.92 [5288]~P124(x52881)+P105(f844(f844(f235(x52881),f2(x52881)),f77(x52881)))
% 201.98/201.92 [5341]E(x53411,f77(a908))+~P105(f844(f844(f286(a908),x53411),f77(a908)))
% 201.98/201.92 [5342]E(x53421,f2(a908))+~P105(f844(f844(f234(a908),x53421),f2(a908)))
% 201.98/201.92 [5384]E(f844(a104,x53841),f2(a908))+~P105(f844(f844(f234(a1),x53841),f2(a1)))
% 201.98/201.92 [5447]P105(f844(a193,x54471))+~P105(f844(f844(f235(a1),x54471),f2(a1)))
% 201.98/201.92 [5454]~P108(x54541)+P15(x54541,f909(x54541),f148(x54541,x54541,f7(x54541)))
% 201.98/201.92 [5472]P39(x54721)+~P105(f844(f844(f234(a1),f2(a1)),f332(x54721)))
% 201.98/201.92 [5477]E(f844(f75(a1),x54771),f844(f78(a1),x54771))+~P105(f844(f844(f235(a1),x54771),f2(a1)))
% 201.98/201.92 [5648]~P124(x56481)+~P105(f844(f844(f234(x56481),f77(x56481)),f2(x56481)))
% 201.98/201.92 [5649]~P124(x56491)+~P105(f844(f844(f235(x56491),f77(x56491)),f2(x56491)))
% 201.98/201.92 [5663]~E(x56631,f2(a908))+P105(f844(f844(f234(a1),f844(f100(a1),x56631)),f2(a1)))
% 201.98/201.92 [5664]~E(x56641,f2(a1))+P105(f844(f844(f235(a1),f844(f75(a1),x56641)),f77(a1)))
% 201.98/201.92 [5787]~P82(x57871)+E(f142(x57871,x57871,f79(x57871),f2(x57871)),f165(x57871))
% 201.98/201.92 [5970]~P102(x59701)+P24(a908,x59701,f100(x59701),f241(f916(a908,a904)))
% 201.98/201.92 [6170]E(x61701,f2(a908))+~P105(f844(f844(f234(a1),f844(f100(a1),x61701)),f2(a1)))
% 201.98/201.92 [6171]E(x61711,f2(a1))+~P105(f844(f844(f235(a1),f844(f75(a1),x61711)),f77(a1)))
% 201.98/201.92 [6982]~P105(f844(f844(f235(a1),x69821),f2(a1)))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x69821),x69821)),f2(a1)))
% 201.98/201.92 [7537]P105(f844(f844(f235(a1),x75371),f2(a1)))+~P105(f844(f844(f235(a1),f844(f844(f79(a1),x75371),x75371)),f2(a1)))
% 201.98/201.92 [8078]E(x80781,f844(a5,f2(a908)))+P105(f844(f844(f235(a908),f844(f844(f3(a908),f844(a22,x80781)),f844(a112,f2(a908)))),f844(a22,x80781)))
% 201.98/201.92 [8835]~P105(f844(f844(f235(a1),x88351),f2(a1)))+P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x88351),x88351)),a97)),f2(a1)))
% 201.98/201.92 [8932]~P105(f844(f844(f235(a1),x89321),f2(a1)))+P105(f844(f844(f235(a1),f844(f844(f79(a1),f844(f844(f79(a1),f77(a1)),x89321)),x89321)),f2(a1)))
% 201.98/201.92 [9250]P105(f844(f844(f235(a1),x92501),f2(a1)))+~P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x92501),x92501)),a97)),f2(a1)))
% 201.98/201.92 [9311]P105(f844(f844(f235(a1),x93111),f2(a1)))+~P105(f844(f844(f235(a1),f844(f844(f79(a1),f844(f844(f79(a1),f77(a1)),x93111)),x93111)),f2(a1)))
% 201.98/201.92 [4804]~E(a82,x48041)+E(f844(f844(f79(a1),x48041),x48041),a82)
% 201.98/201.92 [4805]~E(x48051,a82)+E(f844(f844(f79(a1),x48051),x48051),a82)
% 201.98/201.92 [4816]E(x48161,f2(a1))+E(f844(f844(f35(a1),x48161),x48161),f77(a1))
% 201.98/201.92 [4950]E(x49501,a82)+~E(f844(f844(f79(a1),x49501),x49501),a82)
% 201.98/201.92 [4951]E(a82,x49511)+~E(f844(f844(f79(a1),x49511),x49511),a82)
% 201.98/201.92 [4963]~P4(x49631)+E(f36(x49631,f188(f916(x49631,a904))),f188(x49631))
% 201.98/201.92 [4964]~P4(x49641)+E(f36(x49641,f241(f916(x49641,a904))),f241(x49641))
% 201.98/201.92 [4965]~P4(x49651)+E(f37(x49651,f188(f916(x49651,a904))),f241(x49651))
% 201.98/201.92 [4966]~P4(x49661)+E(f37(x49661,f241(f916(x49661,a904))),f188(x49661))
% 201.98/201.92 [4967]~P108(x49671)+E(f139(x49671,f188(f916(x49671,a904))),f113(x49671))
% 201.98/201.92 [5114]E(x51141,f2(a908))+P105(f844(f844(f235(a908),f2(a908)),x51141))
% 201.98/201.92 [5134]~P5(x51341)+P105(f844(f844(f234(a1),f2(a1)),x51341))
% 201.98/201.92 [5168]~E(f844(f103(a908),x51681),f2(a908))+P105(f844(f844(f234(a1),x51681),a82))
% 201.98/201.92 [5173]P39(x51731)+P105(f844(f844(f328(a1),f332(x51731)),x51731))
% 201.98/201.92 [5174]E(x51741,f844(a5,f2(a908)))+P105(f844(f844(f234(a99),f77(a99)),x51741))
% 201.98/201.92 [5215]P105(f844(a193,x52151))+P105(f844(f844(f234(a1),f2(a1)),x52151))
% 201.98/201.92 [5265]E(f844(f100(a1),f844(a104,x52651)),f2(a1))+P105(f844(f844(f234(a1),f2(a1)),x52651))
% 201.98/201.92 [5322]E(f844(f100(a1),f844(f103(a908),x53221)),f844(f103(a1),x53221))+P105(f844(a193,f844(f103(a1),x53221)))
% 201.98/201.92 [5348]E(f844(f103(a908),x53481),f2(a908))+~P105(f844(a193,f844(f103(a1),x53481)))
% 201.98/201.92 [5349]E(f844(f103(a908),x53491),f2(a908))+~P105(f844(f844(f234(a1),x53491),a82))
% 201.98/201.92 [5381]P5(x53811)+~P105(f844(f844(f234(a1),f2(a1)),x53811))
% 201.98/201.92 [5457]E(f844(a112,f846(x54571)),x54571)+~P105(f844(f844(f235(a908),f2(a908)),x54571))
% 201.98/201.92 [5466]E(f844(a112,f844(f103(a908),x54661)),f77(a908))+~P105(f844(a193,f844(f103(a1),x54661)))
% 201.98/201.92 [5473]E(f844(f100(a1),f339(x54731)),x54731)+~P105(f844(f844(f235(a1),f2(a1)),x54731))
% 201.98/201.92 [5480]~E(x54801,f844(a5,f2(a908)))+~P105(f844(f844(f234(a99),f77(a99)),x54801))
% 201.98/201.92 [5487]E(f844(f100(a1),f844(f103(a908),x54871)),f2(a1))+~P105(f844(a193,f844(f103(a1),x54871)))
% 201.98/201.92 [5512]E(f844(f165(a908),x55121),f2(a908))+P105(f844(f844(f328(a908),f568(x55121)),f844(f172(a908),x55121)))
% 201.98/201.92 [5532]E(f844(f100(a1),f844(a104,x55321)),x55321)+~P105(f844(f844(f234(a1),f2(a1)),x55321))
% 201.98/201.92 [5540]~P105(f844(a193,x55401))+~P105(f844(f844(f234(a1),f2(a1)),x55401))
% 201.98/201.92 [5641]E(f844(f844(f79(a908),f77(a908)),f844(f103(a908),x56411)),f77(a908))+~P105(f844(f844(f235(a1),x56411),a82))
% 201.98/201.92 [5706]E(x57061,f2(a908))+~P105(f844(f844(f235(a908),x57061),f844(a112,f2(a908))))
% 201.98/201.92 [5728]E(x57281,f844(a112,f2(a908)))+~P105(f844(f844(f286(a908),x57281),f844(a112,f2(a908))))
% 201.98/201.92 [5746]E(f844(f844(f3(a908),f844(f103(a908),x57461)),f77(a908)),f2(a908))+~P105(f844(f844(f234(a1),x57461),a82))
% 201.98/201.92 [5747]E(f844(f844(f79(a908),f844(f103(a908),x57471)),f77(a908)),f77(a908))+~P105(f844(f844(f235(a1),x57471),a82))
% 201.98/201.92 [5759]~P39(x57591)+E(f844(f34(a908),f844(f309(a1,a908,a104),x57591)),f844(f34(a1),x57591))
% 201.98/201.92 [5788]~P108(x57881)+E(f236(x57881,f844(f9(x57881,x57881,a904),f234(x57881))),f233(x57881))
% 201.98/201.92 [5789]~P108(x57891)+E(f237(x57891,f844(f9(x57891,x57891,a904),f234(x57891))),f232(x57891))
% 201.98/201.92 [5799]E(f44(a908,f844(a112,f2(a908)),f844(f103(a908),x57991)),f844(a112,f2(a908)))+~P105(f844(a193,f844(f103(a1),x57991)))
% 201.98/201.92 [5808]~P105(f844(f844(f235(a1),f2(a1)),x58081))+P105(f844(f844(f234(a1),f77(a1)),x58081))
% 201.98/201.92 [5809]P105(f844(f844(f235(a1),f2(a1)),x58091))+~P105(f844(f844(f234(a1),f77(a1)),x58091))
% 201.98/201.92 [5820]E(f844(a112,f844(f844(f3(a908),x58201),f77(a908))),x58201)+~P105(f844(f844(f235(a908),f2(a908)),x58201))
% 201.98/201.92 [5876]P105(f844(f844(f235(a908),f2(a908)),f339(x58761)))+~P105(f844(f844(f235(a1),f2(a1)),x58761))
% 201.98/201.92 [5937]E(f44(a1,f844(f103(a1),a97),x59371),f844(f844(f3(a1),x59371),f77(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x59371))
% 201.98/201.92 [5983]~P105(f844(f844(f235(a1),a82),x59831))+P105(f844(f844(f235(a908),f2(a908)),f844(f103(a908),x59831)))
% 201.98/201.92 [5988]E(f844(a22,f797(x59881)),x59881)+~P105(f844(f844(f328(a908),x59881),f241(f916(a908,a904))))
% 201.98/201.92 [6037]P105(f844(f844(f235(a908),f2(a908)),f844(a104,x60371)))+~P105(f844(f844(f235(a1),f2(a1)),x60371))
% 201.98/201.92 [6086]~P105(f844(f844(f235(a908),f2(a908)),x60861))+P105(f844(f844(f235(a1),f2(a1)),f844(f100(a1),x60861)))
% 201.98/201.92 [6122]~P105(f844(f844(f235(a908),f2(a908)),f844(a104,x61221)))+P105(f844(f844(f235(a1),f2(a1)),x61221))
% 201.98/201.92 [6137]~P39(x61371)+E(f844(f309(a908,a1,f100(a1)),f844(f309(a1,a908,a104),x61371)),x61371)
% 201.98/201.92 [6150]P105(f844(f844(f235(a1),a82),x61501))+~P105(f844(f844(f235(a908),f2(a908)),f844(f103(a908),x61501)))
% 201.98/201.92 [6208]P105(f844(f844(f235(a908),f2(a908)),x62081))+~P105(f844(f844(f235(a1),f2(a1)),f844(f100(a1),x62081)))
% 201.98/201.92 [6325]E(f844(f309(a908,a1,f100(a1)),f844(f281(a908),f844(a104,x63251))),f844(f301(a1,f2(a1)),x63251))+~P105(f844(f844(f234(a1),f2(a1)),x63251))
% 201.98/201.92 [6341]~P124(x63411)+P105(f844(f844(f235(x63411),f2(x63411)),f844(f844(f79(x63411),f77(x63411)),f77(x63411))))
% 201.98/201.92 [6391]P105(f844(f844(f235(a908),f844(a112,f2(a908))),f844(a104,x63911)))+~P105(f844(f844(f235(a1),f77(a1)),x63911))
% 201.98/201.92 [6492]E(x64921,f2(a1))+P105(f844(f48(f2(a1),x64921),f844(f844(f251(a1,a1),f2(a1)),f2(a1))))
% 201.98/201.92 [6661]~P105(f844(f844(f235(a908),f844(a112,f2(a908))),f844(a104,x66611)))+P105(f844(f844(f235(a1),f77(a1)),x66611))
% 201.98/201.92 [7093]~P117(x70931)+P36(x70931,f844(f261(f915(x70931,x70931)),f844(f256(x70931,x70931,a904),f235(x70931))))
% 201.98/201.92 [5693]E(f844(f103(a908),f844(f844(f3(a1),x56931),a97)),f844(a112,f844(f103(a908),x56931)))+P105(f844(a193,f844(f103(a1),x56931)))
% 201.98/201.92 [5709]~P35(x57091)+E(f844(f844(f154(a908,a1),f100(a1)),f844(f844(f154(a1,a908),a104),x57091)),x57091)
% 201.98/201.92 [5826]E(f844(f78(a1),f844(f100(a1),f844(a112,f368(x58261)))),x58261)+~P105(f844(f844(f235(a1),x58261),f2(a1)))
% 201.98/201.92 [5836]E(f844(f844(f79(a908),f77(a908)),f844(f103(a908),x58361)),f844(f103(a908),f844(f844(f3(a1),x58361),a97)))+P105(f844(f844(f235(a1),x58361),a82))
% 201.98/201.92 [5878]E(f844(f844(f35(a1),f844(f103(a1),a97)),x58781),f844(f103(a1),a97))+~P105(f844(f844(f235(a1),f2(a1)),x58781))
% 201.98/201.92 [5979]E(f844(f844(f3(a908),f844(f103(a908),x59791)),f77(a908)),f844(f103(a908),f844(f844(f79(a1),x59791),a97)))+P105(f844(f844(f234(a1),x59791),a82))
% 201.98/201.92 [5980]E(f844(f844(f79(a908),f844(f103(a908),x59801)),f77(a908)),f844(f103(a908),f844(f844(f3(a1),x59801),a97)))+P105(f844(f844(f235(a1),x59801),a82))
% 201.98/201.92 [6024]E(f844(a104,f844(f844(f79(a1),f77(a1)),x60241)),f844(a112,f844(a104,x60241)))+~P105(f844(f844(f234(a1),f2(a1)),x60241))
% 201.98/201.92 [6058]E(f844(a112,f844(f844(f3(a908),x60581),f844(a112,f2(a908)))),x60581)+~P105(f844(f844(f235(a908),f2(a908)),x60581))
% 201.98/201.92 [6275]E(f44(a908,f844(a112,f2(a908)),f844(f103(a908),x62751)),f844(a104,f44(a1,f77(a1),f844(f103(a1),x62751))))+P105(f844(a193,f844(f103(a1),x62751)))
% 201.98/201.92 [6318]~P105(f844(f844(f234(a1),a82),x63181))+P105(f844(f844(f234(a1),a82),f844(f844(f79(a1),x63181),x63181)))
% 201.98/201.92 [6319]~P105(f844(f844(f235(a1),a97),x63191))+P105(f844(f844(f234(a1),a97),f844(f844(f79(a1),x63191),x63191)))
% 201.98/201.92 [6320]~P105(f844(f844(f235(a1),a82),x63201))+P105(f844(f844(f235(a1),a82),f844(f844(f79(a1),x63201),x63201)))
% 201.98/201.92 [6321]~P105(f844(f844(f235(a1),a97),x63211))+P105(f844(f844(f235(a1),a97),f844(f844(f79(a1),x63211),x63211)))
% 201.98/201.92 [6506]~P105(f844(f60(x65061),f241(f916(x65061,a904))))+P105(f844(f60(f912(x65061)),f241(f916(f912(x65061),a904))))
% 201.98/201.92 [6591]~P105(f844(f844(f234(a1),f2(a1)),x65911))+P105(f844(f844(f235(a1),f2(a1)),f844(f844(f79(a1),f77(a1)),x65911)))
% 201.98/201.92 [6598]E(f844(f250(a1,a1),f46(f77(a1),f844(f103(a1),x65981))),f844(f844(f35(a1),f77(a1)),f844(f103(a1),x65981)))+~P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x65981)))
% 201.98/201.92 [6620]E(f844(f255(a1,a1),f46(f77(a1),f844(f103(a1),x66201))),f44(a1,f77(a1),f844(f103(a1),x66201)))+~P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x66201)))
% 201.98/201.92 [6632]P105(f844(f60(x66321),f241(f916(x66321,a904))))+~P105(f844(f60(f912(x66321)),f241(f916(f912(x66321),a904))))
% 201.98/201.92 [6662]P105(f844(f844(f234(a1),a82),x66621))+~P105(f844(f844(f234(a1),a82),f844(f844(f79(a1),x66621),x66621)))
% 201.98/201.92 [6663]P105(f844(f844(f235(a1),a82),x66631))+~P105(f844(f844(f235(a1),a82),f844(f844(f79(a1),x66631),x66631)))
% 201.98/201.92 [6664]P105(f844(f844(f235(a1),a97),x66641))+~P105(f844(f844(f234(a1),a97),f844(f844(f79(a1),x66641),x66641)))
% 201.98/201.92 [6665]P105(f844(f844(f235(a1),a97),x66651))+~P105(f844(f844(f235(a1),a97),f844(f844(f79(a1),x66651),x66651)))
% 201.98/201.92 [6986]~P105(f844(f60(x69861),f241(f916(x69861,a904))))+P105(f844(f844(f235(a908),f2(a908)),f844(f34(x69861),f241(f916(x69861,a904)))))
% 201.98/201.92 [7577]P105(f844(f60(a908),x75771))+~P105(f844(f60(a1),f844(f309(a908,a1,f100(a1)),x75771)))
% 201.98/201.92 [5616]~E(a97,x56161)+E(f844(f844(f3(a1),f844(f844(f79(a1),x56161),x56161)),a97),a97)
% 201.98/201.92 [5617]~E(x56171,a97)+E(f844(f844(f3(a1),f844(f844(f79(a1),x56171),x56171)),a97),a97)
% 201.98/201.92 [6145]E(x61451,a97)+~E(f844(f844(f3(a1),f844(f844(f79(a1),x61451),x61451)),a97),a97)
% 201.98/201.92 [6146]E(a97,x61461)+~E(f844(f844(f3(a1),f844(f844(f79(a1),x61461),x61461)),a97),a97)
% 201.98/201.92 [6560]~E(f844(f103(a908),x65601),f2(a908))+P105(f844(a193,f844(f103(a1),f844(f844(f79(a1),x65601),a97))))
% 201.98/201.92 [6916]~P105(f844(a193,f844(f103(a1),x69161)))+P105(f844(a193,f844(f103(a1),f844(f844(f79(a1),x69161),x69161))))
% 201.98/201.92 [6917]~P105(f844(f844(f234(a1),x69171),a82))+P105(f844(f844(f234(a1),f844(f844(f79(a1),x69171),x69171)),a82))
% 201.98/201.92 [6918]~P105(f844(f844(f234(a1),x69181),a97))+P105(f844(f844(f234(a1),f844(f844(f79(a1),x69181),x69181)),a97))
% 201.98/201.92 [6919]~P105(f844(f844(f235(a1),x69191),a82))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x69191),x69191)),a82))
% 201.98/201.92 [6920]~P105(f844(f844(f234(a1),x69201),a97))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x69201),x69201)),a97))
% 201.98/201.92 [7240]E(f844(f103(a908),x72401),f2(a908))+~P105(f844(a193,f844(f103(a1),f844(f844(f79(a1),x72401),a97))))
% 201.98/201.92 [7492]~P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x74921)))+P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),f844(f844(f79(a1),x74921),x74921))))
% 201.98/201.92 [7493]P105(f844(a193,f844(f103(a1),x74931)))+~P105(f844(a193,f844(f103(a1),f844(f844(f79(a1),x74931),x74931))))
% 201.98/201.92 [7494]P105(f844(f844(f234(a1),x74941),a82))+~P105(f844(f844(f234(a1),f844(f844(f79(a1),x74941),x74941)),a82))
% 201.98/201.92 [7495]P105(f844(f844(f234(a1),x74951),a97))+~P105(f844(f844(f234(a1),f844(f844(f79(a1),x74951),x74951)),a97))
% 201.98/201.92 [7496]P105(f844(f844(f234(a1),x74961),a97))+~P105(f844(f844(f235(a1),f844(f844(f79(a1),x74961),x74961)),a97))
% 201.98/201.92 [7497]P105(f844(f844(f235(a1),x74971),a82))+~P105(f844(f844(f235(a1),f844(f844(f79(a1),x74971),x74971)),a82))
% 201.98/201.92 [7852]E(f844(a106,f513(x78521)),x78521)+~P105(f844(f844(f328(f916(f915(a908,a908),a904)),x78521),a98))
% 201.98/201.92 [6479]~P94(x64791)+E(f844(f103(x64791),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f77(x64791))
% 201.98/201.92 [6966]~P105(f844(a193,f844(f103(a1),x69661)))+E(f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),x69661),x69661)),a97)),f2(a908))
% 201.98/201.92 [8024]~P105(f844(f844(f235(a1),f844(f103(a1),x80241)),f2(a1)))+E(f844(f250(a1,a1),f844(a50,f49(f844(f78(a1),f77(a1)),f844(f78(a1),f844(f103(a1),x80241))))),f844(f844(f35(a1),f77(a1)),f844(f103(a1),x80241)))
% 201.98/201.92 [8037]~P105(f844(f844(f235(a1),f844(f103(a1),x80371)),f2(a1)))+E(f844(f255(a1,a1),f844(a50,f49(f844(f78(a1),f77(a1)),f844(f78(a1),f844(f103(a1),x80371))))),f44(a1,f77(a1),f844(f103(a1),x80371)))
% 201.98/201.92 [8085]~P105(f844(f844(f234(a1),a82),x80851))+P105(f844(f844(f234(a1),a82),f844(f844(f3(a1),f844(f844(f79(a1),x80851),x80851)),a97)))
% 201.98/201.92 [8086]~P105(f844(f844(f234(a1),a97),x80861))+P105(f844(f844(f234(a1),a97),f844(f844(f3(a1),f844(f844(f79(a1),x80861),x80861)),a97)))
% 201.98/201.92 [8087]~P105(f844(f844(f234(a1),a82),x80871))+P105(f844(f844(f235(a1),a82),f844(f844(f3(a1),f844(f844(f79(a1),x80871),x80871)),a97)))
% 201.98/201.92 [8088]~P105(f844(f844(f235(a1),a97),x80881))+P105(f844(f844(f235(a1),a97),f844(f844(f3(a1),f844(f844(f79(a1),x80881),x80881)),a97)))
% 201.98/201.92 [8380]~P94(x83801)+~P27(x83801,f844(f103(x83801),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))
% 201.98/201.92 [8561]P105(f844(f844(f234(a1),a82),x85611))+~P105(f844(f844(f234(a1),a82),f844(f844(f3(a1),f844(f844(f79(a1),x85611),x85611)),a97)))
% 201.98/201.92 [8562]P105(f844(f844(f234(a1),a82),x85621))+~P105(f844(f844(f235(a1),a82),f844(f844(f3(a1),f844(f844(f79(a1),x85621),x85621)),a97)))
% 201.98/201.92 [8563]P105(f844(f844(f234(a1),a97),x85631))+~P105(f844(f844(f234(a1),a97),f844(f844(f3(a1),f844(f844(f79(a1),x85631),x85631)),a97)))
% 201.98/201.92 [8564]P105(f844(f844(f235(a1),a97),x85641))+~P105(f844(f844(f235(a1),a97),f844(f844(f3(a1),f844(f844(f79(a1),x85641),x85641)),a97)))
% 201.98/201.92 [8882]E(f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),x88821),x88821)),a97)),f844(f844(f85(a908,a908),f844(f103(a908),x88821)),f844(f844(f10(a908,a908,a908),a112),f844(f844(f20(a908,a908,a908),f79(a908)),f7(a908)))))+P105(f844(a193,f844(f103(a1),x88821)))
% 201.98/201.92 [9732]E(x97321,f188(f916(f915(a908,a908),a904)))+P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),x97321),f188(f916(f915(a908,a908),a904)))),a68))
% 201.98/201.92 [8809]~P105(f844(a193,f844(f103(a1),x88091)))+P105(f844(a193,f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),x88091),x88091)),a97))))
% 201.98/201.92 [8810]~P105(f844(f844(f235(a1),x88101),a82))+P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),x88101),x88101)),a97)),a82))
% 201.98/201.92 [8811]~P105(f844(f844(f234(a1),x88111),a97))+P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),x88111),x88111)),a97)),a97))
% 201.98/201.92 [8812]~P105(f844(f844(f235(a1),x88121),a82))+P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x88121),x88121)),a97)),a82))
% 201.98/201.92 [8813]~P105(f844(f844(f235(a1),x88131),a97))+P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x88131),x88131)),a97)),a97))
% 201.98/201.92 [8923]~P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x89231)))+P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),x89231),x89231)),a97))))
% 201.98/201.92 [9081]~P94(x90811)+E(f844(f844(f79(x90811),f77(x90811)),f77(x90811)),f844(f103(x90811),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))
% 201.98/201.92 [9234]P105(f844(a193,f844(f103(a1),x92341)))+~P105(f844(a193,f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),x92341),x92341)),a97))))
% 201.98/201.92 [9235]P105(f844(f844(f234(a1),x92351),a97))+~P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),x92351),x92351)),a97)),a97))
% 201.98/201.92 [9236]P105(f844(f844(f235(a1),x92361),a82))+~P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),x92361),x92361)),a97)),a82))
% 201.98/201.92 [9237]P105(f844(f844(f235(a1),x92371),a82))+~P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x92371),x92371)),a97)),a82))
% 201.98/201.92 [9238]P105(f844(f844(f235(a1),x92381),a97))+~P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x92381),x92381)),a97)),a97))
% 201.98/201.92 [9777]~P105(f844(f60(f915(a908,a908)),x97771))+P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),f188(f916(f915(a908,a908),a904))),x97771)),a69))
% 201.98/201.92 [9562]~P143(x95621)+E(f844(f844(f243(x95621),f77(x95621)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f77(x95621))
% 201.98/201.92 [9563]~P143(x95631)+E(f844(f844(f243(x95631),f2(x95631)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f2(x95631))
% 201.98/201.92 [10001]~P105(f844(f844(f235(a908),f77(a908)),x100011))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f35(a908),x100011),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 201.98/201.92 [10007]~P105(f844(f844(f235(a908),f2(a908)),x100071))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f35(a908),f844(f844(f79(a908),x100071),f77(a908))),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 201.98/201.92 [10046]~E(f44(a908,x100461,f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f77(a908))+P105(f844(f844(f235(a908),f2(a908)),f44(a908,x100461,f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 201.98/201.92 [10076]E(f44(a908,x100761,f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f77(a908))+~P105(f844(f844(f235(a908),f2(a908)),f44(a908,x100761,f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 201.98/201.92 [4732]~P6(x47321,x47322)+P42(x47321,x47322)
% 201.98/201.92 [4733]~P36(x47331,x47332)+P56(x47331,x47332)
% 201.98/201.92 [4734]~P43(x47341,x47342)+P56(x47341,x47342)
% 201.98/201.92 [4736]~P6(x47361,x47362)+P48(x47361,x47362)
% 201.98/201.92 [4738]~P14(x47381,x47382)+P48(x47381,x47382)
% 201.98/201.92 [4740]~P6(x47401,x47402)+P49(x47401,x47402)
% 201.98/201.92 [4742]~P14(x47421,x47422)+P49(x47421,x47422)
% 201.98/201.92 [4743]~P6(x47431,x47432)+P14(x47431,x47432)
% 201.98/201.92 [4693]~E(x46931,x46932)+E(f268(x46931,x46932),f77(a99))
% 201.98/201.92 [4696]E(f216(x46961,x46962),x46961)+~E(x46962,f2(a908))
% 201.98/201.92 [4703]~E(x47032,f113(x47031))+E(f152(x47031,x47032),f113(x47031))
% 201.98/201.92 [4722]~E(f152(x47222,x47221),f113(x47222))+E(x47221,f113(x47222))
% 201.98/201.92 [4747]~P1(x47472)+P1(f916(x47471,x47472))
% 201.98/201.92 [4748]~P106(x47482)+P106(f916(x47481,x47482))
% 201.98/201.92 [4749]~P107(x47492)+P107(f916(x47491,x47492))
% 201.98/201.92 [4750]~P109(x47502)+P109(f916(x47501,x47502))
% 201.98/201.92 [4751]~P2(x47512)+P2(f916(x47511,x47512))
% 201.98/201.92 [4752]~P77(x47522)+P77(f916(x47521,x47522))
% 201.98/201.92 [4753]~P97(x47532)+P78(f916(x47531,x47532))
% 201.98/201.92 [4754]~P77(x47542)+P100(f916(x47541,x47542))
% 201.98/201.92 [4755]~P77(x47552)+P101(f916(x47551,x47552))
% 201.98/201.92 [4756]~P98(x47562)+P98(f916(x47561,x47562))
% 201.98/201.92 [4757]~P4(x47572)+P4(f916(x47571,x47572))
% 201.98/201.92 [4758]~P95(x47582)+P95(f916(x47581,x47582))
% 201.98/201.92 [4759]~P89(x47592)+P89(f916(x47591,x47592))
% 201.98/201.92 [4760]~P116(x47602)+P116(f916(x47601,x47602))
% 201.98/201.92 [4761]~P97(x47612)+P99(f916(x47611,x47612))
% 201.98/201.92 [4762]~P97(x47622)+P97(f916(x47621,x47622))
% 201.98/201.92 [4775]E(x47751,x47752)+~E(f844(a112,x47751),f844(a112,x47752))
% 201.98/201.92 [4776]E(x47761,x47762)+~E(f844(a106,x47761),f844(a106,x47762))
% 201.98/201.92 [4777]E(x47771,x47772)+~E(f844(a5,x47771),f844(a5,x47772))
% 201.98/201.92 [4779]E(x47791,x47792)+~E(f844(a22,x47791),f844(a22,x47792))
% 201.98/201.92 [4832]P38(x48321,x48322)+~E(f694(x48322,x48321),f695(x48322,x48321))
% 201.98/201.92 [4862]~P56(x48621,x48622)+P38(x48621,f306(x48621,x48622))
% 201.98/201.92 [4863]~P50(x48631,x48632)+P50(x48631,f306(x48631,x48632))
% 201.98/201.92 [4876]~P59(x48761)+E(f44(x48761,x48762,x48762),f2(x48761))
% 201.98/201.92 [4910]~P36(x49101,x49102)+P36(f909(x49101),f146(x49101,x49102))
% 201.98/201.92 [4911]~P36(x49111,x49112)+P36(f909(x49111),f145(x49111,x49112))
% 201.98/201.92 [4912]~P37(x49121,x49122)+P37(f909(x49121),f147(x49121,x49122))
% 201.98/201.92 [4913]~P37(x49131,x49132)+P37(f909(x49131),f158(x49131,x49132))
% 201.98/201.92 [4914]~P50(x49141,x49142)+P50(f909(x49141),f158(x49141,x49142))
% 201.98/201.92 [5011]~P36(x50111,x50112)+P36(f916(x50111,a904),f319(x50111,x50112))
% 201.98/201.92 [5012]~P36(x50121,x50122)+P36(f916(x50121,a904),f317(x50121,x50122))
% 201.98/201.92 [5143]~P5(x51431)+P39(f302(a1,x51431,x51432))
% 201.98/201.92 [5246]~P36(x52461,x52462)+P58(x52461,f66(x52461,x52461,x52462))
% 201.98/201.92 [5753]~P79(x57531)+P24(x57531,x57531,f78(x57531),x57532)
% 201.98/201.92 [4717]~E(x47172,f113(x47171))+E(f844(f167(x47171),x47172),f113(x47171))
% 201.98/201.92 [4718]~E(x47182,f113(x47181))+E(f844(f168(x47181),x47182),f113(x47181))
% 201.98/201.92 [4781]E(x47811,f844(a104,x47812))+~E(f844(f100(a1),x47811),x47812)
% 201.98/201.92 [4784]E(x47841,f113(x47842))+~E(f844(f167(x47842),x47841),f113(x47842))
% 201.98/201.92 [4785]E(x47851,f113(x47852))+~E(f844(f168(x47852),x47851),f113(x47852))
% 201.98/201.92 [4801]~P94(x48011)+E(f844(f103(x48011),x48012),f844(f102(x48011),x48012))
% 201.98/201.92 [4809]~P3(x48091)+P105(f844(f60(x48091),x48092))
% 201.98/201.92 [4817]~E(f654(x48172,x48171),f113(x48171))+E(f179(x48171,x48172),f113(f909(x48171)))
% 201.98/201.92 [4826]~E(x48262,f113(x48261))+E(f844(f172(x48261),x48262),f188(f916(x48261,a904)))
% 201.98/201.92 [4827]~E(x48272,f113(x48271))+E(f188(f916(x48271,a904)),f844(f172(x48271),x48272))
% 201.98/201.92 [4829]E(x48291,x48292)+~E(f844(f100(a1),x48291),f844(f100(a1),x48292))
% 201.98/201.92 [4833]E(f214(x48331,x48332),f2(a908))+P105(f844(f60(x48331),x48332))
% 201.98/201.92 [4851]~P118(x48511)+E(f81(x48511,f81(x48511,x48512)),f81(x48511,x48512))
% 201.98/201.92 [4865]~P112(x48651)+E(f844(f844(f243(x48651),x48652),f77(a908)),x48652)
% 201.98/201.92 [4866]~P81(x48661)+E(f844(f844(f243(x48661),x48662),f77(a908)),x48662)
% 201.98/201.92 [4867]~P50(x48671,x48672)+E(f844(f285(x48671,x48671),x48672),x48672)
% 201.98/201.92 [4871]E(x48711,x48712)+E(f268(x48711,x48712),f844(f844(f79(a99),x48712),f77(a99)))
% 201.98/201.92 [4874]E(f844(f34(x48741),x48742),f2(a908))+P105(f844(f60(x48741),x48742))
% 201.98/201.92 [4877]~E(f152(x48771,x48772),x48772)+P105(f844(f137(x48771),x48772))
% 201.98/201.92 [4880]~P78(x48801)+E(f844(f844(f110(x48801),x48802),f188(x48801)),x48802)
% 201.98/201.92 [4881]~P73(x48811)+E(f844(f844(f3(x48811),x48812),f2(x48811)),x48812)
% 201.98/201.92 [4882]~P112(x48821)+E(f844(f844(f80(x48821),x48822),f77(x48821)),x48822)
% 201.98/201.92 [4883]~P74(x48831)+E(f844(f844(f80(x48831),x48832),f77(x48831)),x48832)
% 201.98/201.92 [4884]~P81(x48841)+E(f844(f844(f80(x48841),x48842),f77(x48841)),x48842)
% 201.98/201.92 [4885]~P99(x48851)+E(f844(f844(f101(x48851),x48852),f241(x48851)),x48852)
% 201.98/201.92 [4886]~P69(x48861)+E(f844(f844(f79(x48861),x48862),f2(x48861)),x48862)
% 201.98/201.92 [4887]~P112(x48871)+E(f844(f844(f79(x48871),x48872),f2(x48871)),x48872)
% 201.98/201.92 [4888]~P82(x48881)+E(f844(f844(f79(x48881),x48882),f2(x48881)),x48882)
% 201.98/201.92 [4889]~P121(x48891)+E(f844(f844(f290(x48891),x48892),f77(x48891)),x48892)
% 201.98/201.92 [4890]~P59(x48901)+E(f844(f844(f35(x48901),x48902),f77(x48901)),x48902)
% 201.98/201.92 [4891]~P112(x48911)+E(f844(f844(f243(x48911),x48912),f2(a908)),f77(x48911))
% 201.98/201.92 [4892]~P115(x48921)+E(f844(f844(f243(x48921),x48922),f2(a908)),f77(x48921))
% 201.98/201.92 [4893]~E(x48932,f188(f916(x48931,a904)))+E(f844(f34(x48931),x48932),f2(a908))
% 201.98/201.92 [4904]~P59(x49041)+E(f44(x49041,x49042,f2(x49041)),x49042)
% 201.98/201.92 [4915]~P99(x49151)+E(f844(f844(f110(x49151),x49152),f241(x49151)),f241(x49151))
% 201.98/201.92 [4916]~P112(x49161)+E(f844(f844(f80(x49161),x49162),f2(x49161)),f2(x49161))
% 201.98/201.92 [4917]~P130(x49171)+E(f844(f844(f80(x49171),x49172),f2(x49171)),f2(x49171))
% 201.98/201.92 [4918]~P78(x49181)+E(f844(f844(f101(x49181),x49182),f188(x49181)),f188(x49181))
% 201.98/201.92 [4919]~P122(x49191)+E(f844(f844(f290(x49191),x49192),f2(x49191)),f2(x49191))
% 201.98/201.92 [4920]~P59(x49201)+E(f844(f844(f35(x49201),x49202),f2(x49201)),f2(x49201))
% 201.98/201.92 [4922]~P59(x49221)+E(f44(x49221,x49222,f77(x49221)),f2(x49221))
% 201.98/201.92 [4923]~P59(x49231)+E(f44(x49231,f2(x49231),x49232),f2(x49231))
% 201.98/201.92 [4952]E(x49521,f2(a908))+E(f54(x49522,x49521,f113(x49522)),f113(f909(x49522)))
% 201.98/201.92 [4975]P50(x49751,x49752)+~E(f844(f285(x49751,x49751),x49752),x49752)
% 201.98/201.92 [4976]P36(x49761,x49762)+~E(f569(x49762,x49761),f188(f916(x49761,a904)))
% 201.98/201.92 [4977]E(x49771,f113(x49772))+~E(f844(f172(x49772),x49771),f188(f916(x49772,a904)))
% 201.98/201.92 [4978]E(x49781,f113(x49782))+~E(f188(f916(x49782,a904)),f844(f172(x49782),x49781))
% 201.98/201.92 [4981]~E(x49811,x49812)+P105(f844(f844(a324,x49811),x49812))
% 201.98/201.92 [4991]P105(x49911)+P105(f844(f844(a329,x49911),x49912))
% 201.98/201.92 [4992]E(x49921,f113(x49922))+E(f844(f844(f164(x49922),x49921),f2(a908)),f844(f141(x49922),x49921))
% 201.98/201.92 [4995]E(f152(x49951,x49952),x49952)+~P105(f844(f137(x49951),x49952))
% 201.98/201.92 [5002]~P105(x50022)+P105(f844(f844(a329,x50021),x50022))
% 201.98/201.92 [5003]~P105(x50032)+P105(f844(f844(a326,x50031),x50032))
% 201.98/201.92 [5004]~P105(x50041)+P105(f844(f844(a326,x50041),x50042))
% 201.98/201.92 [5014]~E(f655(x50142,x50141),f659(x50142,x50141))+P105(f844(f137(x50141),x50142))
% 201.98/201.92 [5021]E(f844(f261(x50211),x50212),f188(f916(x50211,a904)))+P105(f844(x50212,f525(x50212)))
% 201.98/201.92 [5022]E(f188(f916(x50221,a904)),f844(f261(x50221),x50222))+P105(f844(x50222,f526(x50222)))
% 201.98/201.92 [5095]~P118(x50951)+E(f844(f844(f80(x50951),x50952),f81(x50951,x50952)),f844(f75(x50951),x50952))
% 201.98/201.92 [5107]~E(x51071,f2(a1))+E(f45(x51071,x51072),f844(f844(f251(a1,a1),f2(a1)),f2(a1)))
% 201.98/201.92 [5139]~P56(x51391,x51392)+P56(x51391,f844(f285(x51391,x51391),x51392))
% 201.98/201.92 [5140]~P37(x51401,x51402)+P37(x51401,f844(f285(x51401,x51401),x51402))
% 201.98/201.92 [5141]~P38(x51411,x51412)+P38(x51411,f844(f285(x51411,x51411),x51412))
% 201.98/201.92 [5142]~P50(x51421,x51422)+P50(x51421,f844(f285(x51421,x51421),x51422))
% 201.98/201.92 [5164]E(x51641,x51642)+~P105(f844(f844(a324,x51641),x51642))
% 201.98/201.92 [5175]P105(x51751)+~P105(f844(f844(a325,x51752),x51751))
% 201.98/201.92 [5176]P105(x51761)+~P105(f844(f844(a325,x51761),x51762))
% 201.98/201.92 [5181]~P116(x51811)+P105(f844(f844(f234(x51811),x51812),f241(x51811)))
% 201.98/201.92 [5182]~P112(x51821)+P105(f844(f844(f286(x51821),x51822),f2(x51821)))
% 201.98/201.92 [5186]E(x51861,x51862)+~E(f844(x51861,f333(x51862,x51861)),f844(x51862,f333(x51862,x51861)))
% 201.98/201.92 [5217]E(x52171,f2(a908))+E(f216(x52171,f44(a908,x52172,x52171)),f216(x52172,x52171))
% 201.98/201.92 [5222]~P108(x52221)+P12(x52221,f844(f844(f151(x52221),x52222),f113(x52221)))
% 201.98/201.92 [5224]E(x52241,f2(a1))+P105(f844(f48(x52242,x52241),f45(x52242,x52241)))
% 201.98/201.92 [5241]~P14(x52412,x52411)+P105(f844(f844(x52411,f789(x52411)),f789(x52411)))
% 201.98/201.92 [5244]~E(x52441,x52442)+P105(f844(f844(f235(a908),x52441),f844(a112,x52442)))
% 201.98/201.92 [5254]~E(x52541,f2(a908))+P105(f844(f844(f235(a908),x52541),f844(a112,x52542)))
% 201.98/201.92 [5264]P105(f844(x52641,x52642))+P105(f844(f844(f234(a1),f2(a1)),f335(x52641)))
% 201.98/201.92 [5327]E(f844(f844(f308(x53272),f336(x53272,x53271)),f360(x53272,x53271)),x53271)+E(x53271,f188(f916(x53272,a904)))
% 201.98/201.92 [5328]P56(x53281,x53282)+~P56(x53281,f844(f285(x53281,x53281),x53282))
% 201.98/201.92 [5329]P37(x53291,x53292)+~P37(x53291,f844(f285(x53291,x53291),x53292))
% 201.98/201.92 [5330]P38(x53301,x53302)+~P38(x53301,f844(f285(x53301,x53301),x53302))
% 201.98/201.92 [5331]P50(x53311,x53312)+~P50(x53311,f844(f285(x53311,x53311),x53312))
% 201.98/201.92 [5334]~E(f44(a908,x53342,x53341),f2(a908))+E(f844(f844(f80(a908),x53341),f337(x53341,x53342)),x53342)
% 201.98/201.92 [5335]~E(f44(a1,x53352,x53351),f2(a1))+E(f844(f844(f80(a1),x53351),f338(x53351,x53352)),x53352)
% 201.98/201.92 [5362]~P105(f844(x53621,x53622))+P105(f844(f844(f234(a1),f2(a1)),f334(x53621)))
% 201.98/201.92 [5373]E(f844(f844(f3(a908),f844(a104,x53731)),f844(a104,x53732)),f844(a104,x53731))+~P105(f844(a193,x53732))
% 201.98/201.92 [5402]E(f271(x54021,x54022),f77(a99))+~P105(f844(f844(f234(a99),x54021),f77(a99)))
% 201.98/201.92 [5498]E(f844(f844(f164(x54981),x54982),f655(x54982,x54981)),f844(f844(f164(x54981),x54982),f659(x54982,x54981)))+P105(f844(f137(x54981),x54982))
% 201.98/201.92 [5541]~P105(f844(x55411,f89(x55412,x55411)))+P105(f844(x55411,f584(x55412,x55411)))
% 201.98/201.92 [5606]P58(x56061,x56062)+~P105(f844(f314(x56061,x56062),f541(x56062,x56061)))
% 201.98/201.92 [5750]~P14(x57502,x57501)+P105(f844(f844(x57501,f790(x57501,x57502)),f790(x57501,x57502)))
% 201.98/201.92 [5751]~P14(x57512,x57511)+P105(f844(f844(x57511,f793(x57511,x57512)),f793(x57511,x57512)))
% 201.98/201.92 [5760]~E(f844(a112,f44(a908,x57601,x57602)),x57602)+E(f44(a908,f844(a112,x57601),x57602),f2(a908))
% 201.98/201.92 [5815]P36(x58151,x58152)+P105(f844(f844(f328(x58151),f599(x58152,x58151)),f600(x58152,x58151)))
% 201.98/201.92 [5822]~P94(x58221)+P105(f844(f844(f328(x58221),f844(f103(x58221),x58222)),f109(x58221)))
% 201.98/201.92 [5823]~P140(x58231)+P105(f844(f844(f328(x58231),f844(f100(x58231),x58232)),f109(x58231)))
% 201.98/201.92 [5824]~P143(x58241)+P105(f844(f844(f328(x58241),f844(f100(x58241),x58242)),f186(x58241)))
% 201.98/201.92 [5825]~P140(x58251)+P105(f844(f844(f328(x58251),f844(f102(x58251),x58252)),f109(x58251)))
% 201.98/201.92 [5968]~P37(x59681,x59682)+E(f844(f844(f288(x59681,x59681,x59681),x59682),f306(x59681,x59682)),x59682)
% 201.98/201.92 [5982]E(f844(a112,f44(a908,x59821,x59822)),x59822)+E(f44(a908,f844(a112,x59821),x59822),f844(a112,f44(a908,x59821,x59822)))
% 201.98/201.92 [6404]P36(x64041,x64042)+~P105(f844(f844(f328(x64041),f542(x64042,x64041)),f315(x64041,x64042)))
% 201.98/201.92 [6441]~P124(x64411)+~P105(f844(f844(f235(x64411),f844(f100(x64411),x64412)),f2(x64411)))
% 201.98/201.92 [6442]~P86(x64421)+~P105(f844(f844(f235(x64421),f844(f75(x64421),x64422)),f2(x64421)))
% 201.98/201.92 [6475]E(x64751,f188(f916(x64752,a904)))+~P105(f844(f844(f328(x64752),f336(x64752,x64751)),f360(x64752,x64751)))
% 201.98/201.92 [6533]P105(f844(f844(f235(a1),x65331),f44(a1,x65332,x65331)))+~P105(f844(f844(f235(a1),x65331),f2(a1)))
% 201.98/201.92 [6634]E(f844(f844(f308(a908),f844(a112,x66341)),f302(a908,x66342,x66341)),f302(a908,x66342,f844(a112,x66341)))+~P105(f844(f844(f234(a908),x66342),f844(a112,x66341)))
% 201.98/201.92 [6726]~P108(x67261)+P12(x67261,f150(x67261,x67261,f7(x67261),x67262))
% 201.98/201.92 [6859]E(f844(f167(x68591),x68592),x68592)+~P105(f844(f844(f234(a908),f844(f189(f909(x68591)),x68592)),f77(a908)))
% 201.98/201.92 [6881]~P86(x68811)+P105(f844(f844(f234(x68811),f844(f78(x68811),f844(f75(x68811),x68812))),f2(x68811)))
% 201.98/201.92 [6912]~P36(x69121,x69122)+P36(x69121,f844(f844(f288(x69121,x69121,x69121),x69122),f306(x69121,x69122)))
% 201.98/201.92 [6913]~P50(x69131,x69132)+P50(x69131,f844(f844(f288(x69131,x69131,x69131),x69132),f306(x69131,x69132)))
% 201.98/201.92 [7134]~P105(f844(f844(f235(a1),x71342),f2(a1)))+P105(f844(f844(f234(a1),f44(a1,x71341,x71342)),f2(a1)))
% 201.98/201.92 [7534]~P143(x75341)+E(f190(x75341,f844(f844(f9(x75341,x75341,x75341),f79(x75341)),f77(x75341)),x75342,f2(x75341)),f844(f100(x75341),x75342))
% 201.98/201.92 [7563]~P126(x75631)+~P105(f844(f844(f235(x75631),f844(f844(f80(x75631),x75632),x75632)),f2(x75631)))
% 201.98/201.92 [10168]~P118(x101681)+~P105(f844(f844(f235(x101681),f844(f844(f243(x101681),x101682),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f2(x101681)))
% 201.98/201.92 [4782]~E(x47822,f113(x47821))+E(f844(f189(f909(x47821)),x47822),f2(a908))
% 201.98/201.92 [4818]~E(x48181,f2(a908))+E(f844(f844(f79(a908),x48181),x48182),x48182)
% 201.98/201.92 [4819]~E(x48192,f2(a908))+E(f844(f844(f80(a908),x48191),x48192),f2(a908))
% 201.98/201.92 [4821]~E(x48211,f2(a908))+E(f844(f844(f80(a908),x48211),x48212),f2(a908))
% 201.98/201.92 [4822]~E(x48222,f2(a1))+E(f844(f844(f35(a1),x48221),x48222),f2(a1))
% 201.98/201.92 [4823]~E(x48232,f2(a908))+E(f844(f844(f243(a908),x48231),x48232),f77(a908))
% 201.98/201.92 [4834]E(x48341,f113(x48342))+~E(f844(f189(f909(x48342)),x48341),f2(a908))
% 201.98/201.92 [4835]~P77(x48351)+E(f844(f844(f110(x48351),x48352),x48352),x48352)
% 201.98/201.92 [4837]~P100(x48371)+E(f844(f844(f110(x48371),x48372),x48372),x48372)
% 201.98/201.92 [4839]~P96(x48391)+E(f844(f844(f80(x48391),x48392),x48392),x48392)
% 201.98/201.92 [4840]~P77(x48401)+E(f844(f844(f101(x48401),x48402),x48402),x48402)
% 201.98/201.92 [4842]~P101(x48421)+E(f844(f844(f101(x48421),x48422),x48422),x48422)
% 201.98/201.92 [4844]~P108(x48441)+E(f844(f844(f232(x48441),x48442),x48442),x48442)
% 201.98/201.92 [4846]~P108(x48461)+E(f844(f844(f233(x48461),x48462),x48462),x48462)
% 201.98/201.92 [4864]~P73(x48641)+E(f844(f844(f3(x48641),x48642),x48642),f2(x48641))
% 201.98/201.92 [4878]~P73(x48781)+E(f844(f78(x48781),f844(f78(x48781),x48782)),x48782)
% 201.98/201.92 [4879]~P95(x48791)+E(f844(f78(x48791),f844(f78(x48791),x48792)),x48792)
% 201.98/201.92 [4896]~E(x48962,f2(a908))+E(f844(f844(f243(a908),x48961),x48962),f844(a112,f2(a908)))
% 201.98/201.92 [4931]~P78(x49311)+E(f844(f844(f110(x49311),f188(x49311)),x49312),x49312)
% 201.98/201.92 [4932]~P112(x49321)+E(f844(f844(f80(x49321),f77(x49321)),x49322),x49322)
% 201.98/201.92 [4933]~P74(x49331)+E(f844(f844(f80(x49331),f77(x49331)),x49332),x49332)
% 201.98/201.92 [4934]~P81(x49341)+E(f844(f844(f80(x49341),f77(x49341)),x49342),x49342)
% 201.98/201.92 [4935]~P99(x49351)+E(f844(f844(f101(x49351),f241(x49351)),x49352),x49352)
% 201.98/201.92 [4936]~P69(x49361)+E(f844(f844(f79(x49361),f2(x49361)),x49362),x49362)
% 201.98/201.92 [4937]~P112(x49371)+E(f844(f844(f79(x49371),f2(x49371)),x49372),x49372)
% 201.98/201.92 [4938]~P82(x49381)+E(f844(f844(f79(x49381),f2(x49381)),x49382),x49382)
% 201.98/201.92 [4956]~P99(x49561)+E(f844(f844(f110(x49561),f241(x49561)),x49562),f241(x49561))
% 201.98/201.92 [4957]~P112(x49571)+E(f844(f844(f80(x49571),f2(x49571)),x49572),f2(x49571))
% 201.98/201.92 [4958]~P130(x49581)+E(f844(f844(f80(x49581),f2(x49581)),x49582),f2(x49581))
% 201.98/201.92 [4959]~P78(x49591)+E(f844(f844(f101(x49591),f188(x49591)),x49592),f188(x49591))
% 201.98/201.92 [4960]~P121(x49601)+E(f844(f844(f290(x49601),f2(x49601)),x49602),f2(x49601))
% 201.98/201.92 [4961]~P59(x49611)+E(f844(f844(f35(x49611),f2(x49611)),x49612),f2(x49611))
% 201.98/201.92 [4962]~P81(x49621)+E(f844(f844(f243(x49621),f77(x49621)),x49622),f77(x49621))
% 201.98/201.92 [4970]E(x49701,f113(x49702))+E(f144(x49702,f844(f168(x49702),x49701)),f844(f141(x49702),x49701))
% 201.98/201.92 [4971]E(x49711,f113(x49712))+E(f844(f141(x49712),f844(f168(x49712),x49711)),f144(x49712,x49711))
% 201.98/201.92 [4972]E(x49721,f2(a908))+~E(f844(f844(f79(a908),x49722),x49721),x49722)
% 201.98/201.92 [4979]~P94(x49791)+E(f844(f102(x49791),f844(f103(a1),x49792)),f844(f103(x49791),x49792))
% 201.98/201.92 [4980]~P140(x49801)+E(f844(f102(x49801),f844(f100(a1),x49802)),f844(f100(x49801),x49802))
% 201.98/201.92 [4987]E(x49871,f77(a908))+~E(f844(f844(f80(a908),x49872),x49871),f77(a908))
% 201.98/201.92 [4988]E(x49881,f77(a908))+~E(f844(f844(f80(a908),x49881),x49882),f77(a908))
% 201.98/201.92 [4989]E(x49891,f2(a908))+~E(f844(f844(f79(a908),x49892),x49891),f2(a908))
% 201.98/201.92 [4990]E(x49901,f2(a908))+~E(f844(f844(f79(a908),x49901),x49902),f2(a908))
% 201.98/201.92 [5007]~P118(x50071)+E(f844(f75(x50071),f844(f100(x50071),x50072)),f844(f100(x50071),x50072))
% 201.98/201.92 [5008]~P86(x50081)+E(f844(f75(x50081),f844(f75(x50081),x50082)),f844(f75(x50081),x50082))
% 201.98/201.92 [5009]~P86(x50091)+E(f844(f75(x50091),f844(f78(x50091),x50092)),f844(f75(x50091),x50092))
% 201.98/201.92 [5010]~P69(x50101)+E(f844(f165(x50101),f844(f168(x50101),x50102)),f844(f165(x50101),x50102))
% 201.98/201.92 [5015]~E(x50151,f844(a112,f2(a908)))+E(f844(f844(f243(a908),x50151),x50152),f844(a112,f2(a908)))
% 201.98/201.92 [5024]~P73(x50241)+E(f844(f844(f3(x50241),f2(x50241)),x50242),f844(f78(x50241),x50242))
% 201.98/201.92 [5025]~E(x50252,f2(a908))+E(f139(a908,f844(f301(a908,x50251),x50252)),f113(a908))
% 201.98/201.92 [5034]~P94(x50341)+E(f844(f844(f79(x50341),x50342),f844(f103(x50341),a82)),x50342)
% 201.98/201.92 [5035]E(x50351,f2(a1))+E(f46(f844(f75(a1),x50352),f844(f75(a1),x50351)),f52(x50352,x50351))
% 201.98/201.92 [5051]~E(x50511,x50512)+P105(f844(f844(f234(a908),x50511),x50512))
% 201.98/201.92 [5055]~E(x50551,x50552)+P105(f844(f844(f286(a908),x50551),x50552))
% 201.98/201.92 [5062]~E(x50621,f2(a99))+E(f844(f844(f79(a908),f844(a22,x50621)),x50622),x50622)
% 201.98/201.92 [5076]~P5(x50761)+P5(f844(f844(f243(a1),x50761),x50762))
% 201.98/201.92 [5077]~P95(x50771)+E(f844(f844(f110(x50771),x50772),f844(f78(x50771),x50772)),f241(x50771))
% 201.98/201.92 [5078]~P95(x50781)+E(f844(f844(f101(x50781),x50782),f844(f78(x50781),x50782)),f188(x50781))
% 201.98/201.92 [5079]~P73(x50791)+E(f844(f844(f79(x50791),x50792),f844(f78(x50791),x50792)),f2(x50791))
% 201.98/201.92 [5104]E(x51041,f2(a908))+~E(f844(f78(a1),f844(f100(a1),x51042)),f844(f100(a1),x51041))
% 201.98/201.92 [5105]E(x51051,f2(a908))+~E(f844(f78(a1),f844(f100(a1),x51051)),f844(f100(a1),x51052))
% 201.98/201.92 [5115]E(f194(x51151,x51152),f2(a1))+P105(f844(f844(f234(a1),x51152),x51151))
% 201.98/201.92 [5116]E(f178(x51161,x51162),f113(a1))+P105(f844(f844(f234(a1),x51161),x51162))
% 201.98/201.92 [5117]E(f240(x51171,x51172),f2(a99))+P105(f844(f844(f235(a99),x51171),x51172))
% 201.98/201.92 [5130]E(x51301,f844(a112,f2(a908)))+~E(f844(f844(f80(a908),x51302),x51301),f844(a112,f2(a908)))
% 201.98/201.92 [5131]E(x51311,f844(a112,f2(a908)))+~E(f844(f844(f80(a908),x51311),x51312),f844(a112,f2(a908)))
% 201.98/201.92 [5132]~P106(x51321)+P105(f844(f844(f234(x51321),x51322),x51322))
% 201.98/201.92 [5133]~P112(x51331)+P105(f844(f844(f286(x51331),x51332),x51332))
% 201.98/201.92 [5136]~P94(x51361)+E(f844(f844(f80(x51361),x51362),f844(f103(x51361),a97)),f844(f78(x51361),x51362))
% 201.98/201.92 [5156]~P94(x51561)+E(f844(f78(x51561),f844(f103(x51561),x51562)),f844(f103(x51561),f844(f78(a1),x51562)))
% 201.98/201.92 [5157]~P140(x51571)+E(f844(f78(x51571),f844(f102(x51571),x51572)),f844(f102(x51571),f844(f78(a1),x51572)))
% 201.98/201.92 [5187]~E(x51871,f844(a112,x51872))+P105(f844(f844(f235(a908),f2(a908)),x51871))
% 201.98/201.92 [5205]~P108(x52051)+E(f844(f78(f916(x52051,a904)),f844(f281(x52051),x52052)),f844(f282(x52051),x52052))
% 201.98/201.92 [5206]~P108(x52061)+E(f844(f78(f916(x52061,a904)),f844(f300(x52061),x52062)),f844(f303(x52061),x52062))
% 201.98/201.92 [5207]~P108(x52071)+E(f844(f78(f916(x52071,a904)),f844(f303(x52071),x52072)),f844(f300(x52071),x52072))
% 201.98/201.92 [5208]~P108(x52081)+E(f844(f78(f916(x52081,a904)),f844(f282(x52081),x52082)),f844(f281(x52081),x52082))
% 201.98/201.92 [5216]~E(f844(f100(a1),x52162),x52161)+P105(f844(f844(f234(a1),f2(a1)),x52161))
% 201.98/201.92 [5223]~E(x52232,f2(a1))+E(f52(x52231,x52232),f844(f844(f251(a1,a1),f2(a1)),f844(f75(a1),x52231)))
% 201.98/201.92 [5225]~P1(x52251)+P105(f844(f844(f234(x52251),f188(x52251)),x52252))
% 201.98/201.92 [5226]~P112(x52261)+P105(f844(f844(f286(x52261),f77(x52261)),x52262))
% 201.98/201.92 [5259]E(x52591,x52592)+~E(f844(f844(f79(a1),x52591),x52591),f844(f844(f79(a1),x52592),x52592))
% 201.98/201.92 [5263]~P105(f844(x52631,x52632))+P105(f844(x52631,f844(a104,f334(x52631))))
% 201.98/201.92 [5289]~P118(x52891)+E(f844(f844(f80(x52891),f81(x52891,x52892)),f844(f75(x52891),x52892)),x52892)
% 201.98/201.92 [5296]~E(x52962,f2(a908))+E(f84(f915(a908,a908),f47(x52961,x52962)),f844(f844(f251(a908,a908),f2(a908)),x52961))
% 201.98/201.92 [5301]~E(x53011,x53012)+~P105(f844(f844(f235(a908),x53011),x53012))
% 201.98/201.92 [5302]~E(x53021,x53022)+~P105(f844(f844(f235(a1),x53021),x53022))
% 201.98/201.92 [5305]~P143(x53051)+E(f844(f844(f79(x53051),f77(x53051)),f844(f100(x53051),x53052)),f844(f100(x53051),f844(a112,x53052)))
% 201.98/201.92 [5309]~E(x53091,f2(a908))+~P105(f844(f844(f235(a908),x53092),x53091))
% 201.98/201.92 [5323]E(f152(x53231,x53232),x53232)+~E(f844(f189(f909(x53231)),f152(x53231,x53232)),f844(f189(f909(x53231)),x53232))
% 201.98/201.92 [5324]E(f844(f34(x53241),f844(f172(x53241),x53242)),f844(f189(f909(x53241)),x53242))+~P105(f844(f137(x53241),x53242))
% 201.98/201.92 [5339]~P105(f844(x53391,f876(x53391)))+P105(f844(x53391,f844(f100(a1),x53392)))
% 201.98/201.92 [5350]E(f240(x53501,x53502),x53502)+~P105(f844(f844(f235(a99),x53501),x53502))
% 201.98/201.92 [5352]E(f271(x53521,x53522),f77(a99))+~P105(f844(f844(f235(a99),x53522),x53521))
% 201.98/201.92 [5353]E(f178(x53531,x53532),f113(a1))+~P105(f844(f844(f235(a1),x53532),x53531))
% 201.98/201.92 [5354]E(f128(x53541,x53542),f115(a1))+~P105(f844(f844(f235(a1),x53541),x53542))
% 201.98/201.92 [5356]~P109(x53561)+E(f302(x53561,x53562,x53562),f844(f844(f308(x53561),x53562),f188(f916(x53561,a904))))
% 201.98/201.92 [5376]~E(f844(f844(f3(a908),x53761),x53762),f2(a908))+P105(f844(f844(f234(a908),x53761),x53762))
% 201.98/201.92 [5399]~E(x53992,f2(a908))+E(f54(x53991,x53992,f113(x53991)),f844(f844(f151(f909(x53991)),f113(x53991)),f113(f909(x53991))))
% 201.98/201.92 [5403]~P106(x54031)+~P105(f844(f844(f235(x54031),x54032),x54032))
% 201.98/201.92 [5405]~E(f44(a1,x54051,x54052),f2(a1))+E(f44(a1,x54051,f844(f78(a1),x54052)),f2(a1))
% 201.98/201.92 [5407]~E(f44(a1,x54071,x54072),f2(a1))+E(f44(a1,f844(f78(a1),x54071),x54072),f2(a1))
% 201.98/201.92 [5415]E(f844(f301(a908,x54151),f844(a112,x54152)),f188(f916(a908,a904)))+P105(f844(f844(f234(a908),x54151),x54152))
% 201.98/201.92 [5439]E(f139(a908,f844(f301(a908,x54391),x54392)),f113(a908))+P105(f844(f844(f235(a908),x54391),x54392))
% 201.98/201.92 [5444]~E(f844(f34(x54441),f844(f172(x54441),x54442)),f844(f189(f909(x54441)),x54442))+P105(f844(f137(x54441),x54442))
% 201.98/201.92 [5448]~P105(f844(f137(x54481),x54482))+P105(f844(f137(x54481),f844(f167(x54481),x54482)))
% 201.98/201.92 [5449]~P105(f844(f137(x54491),x54492))+P105(f844(f137(x54491),f844(f171(x54491),x54492)))
% 201.98/201.92 [5450]~P105(f844(f137(x54501),x54502))+P105(f844(f137(x54501),f844(f168(x54501),x54502)))
% 201.98/201.92 [5458]P105(f844(x54581,x54582))+~P105(f844(x54581,f844(a104,f335(x54581))))
% 201.98/201.92 [5459]P105(f844(f844(f234(a908),x54592),x54591))+P105(f844(f844(f234(a908),x54591),x54592))
% 201.98/201.92 [5460]P105(f844(f844(f234(a1),x54602),x54601))+P105(f844(f844(f234(a1),x54601),x54602))
% 201.98/201.92 [5464]~P86(x54641)+P105(f844(f844(f234(x54641),x54642),f844(f75(x54641),x54642)))
% 201.98/201.92 [5467]P105(f844(x54671,f877(x54671)))+~P105(f844(x54671,f844(f100(a1),x54672)))
% 201.98/201.92 [5491]E(f844(f844(f3(a908),x54911),x54912),f2(a908))+~P105(f844(f844(f234(a908),x54911),x54912))
% 201.98/201.92 [5492]E(f844(f844(f35(a908),x54921),x54922),f2(a908))+~P105(f844(f844(f235(a908),x54921),x54922))
% 201.98/201.92 [5510]E(f44(a908,x55101,x55102),x55101)+~P105(f844(f844(f235(a908),x55101),x55102))
% 201.98/201.92 [5518]E(f44(a1,x55181,f844(f78(a1),x55182)),f291(x55181,x55182))+P105(f844(f844(f234(a1),f2(a1)),x55182))
% 201.98/201.92 [5530]E(f844(f844(f3(a1),x55301),x55302),f194(x55301,x55302))+~P105(f844(f844(f234(a1),x55302),x55301))
% 201.98/201.92 [5550]P105(f844(f844(f234(a1),f2(a1)),f876(x55501)))+P105(f844(x55501,f844(f100(a1),x55502)))
% 201.98/201.92 [5563]~P124(x55631)+P105(f844(f844(f234(x55631),f2(x55631)),f844(f100(x55631),x55632)))
% 201.98/201.92 [5564]~P86(x55641)+P105(f844(f844(f234(x55641),f2(x55641)),f844(f75(x55641),x55642)))
% 201.98/201.92 [5592]E(f844(f844(f79(a908),x55921),f585(x55922,x55921)),x55922)+~P105(f844(f844(f234(a908),x55921),x55922))
% 201.98/201.92 [5607]E(f302(a1,x56071,x56072),f188(f916(a1,a904)))+~P105(f844(f844(f235(a1),x56072),x56071))
% 201.98/201.92 [5609]~P118(x56091)+E(f844(f844(f80(x56091),f844(f75(x56091),x56092)),f844(f75(x56091),x56092)),f844(f844(f80(x56091),x56092),x56092))
% 201.98/201.92 [5615]E(f139(a908,f844(f301(a908,x56151),f844(a112,x56152))),f113(a908))+P105(f844(f844(f234(a908),x56151),x56152))
% 201.98/201.92 [5619]E(f844(f844(f35(a1),x56191),x56192),f292(x56191,x56192))+~P105(f844(f844(f234(a1),f2(a1)),x56192))
% 201.98/201.92 [5639]P105(f844(f137(x56391),x56392))+~P105(f844(f137(x56391),f844(f167(x56391),x56392)))
% 201.98/201.92 [5640]P105(f844(f137(x56401),x56402))+~P105(f844(f137(x56401),f844(f168(x56401),x56402)))
% 201.98/201.92 [5665]P105(f844(f60(a908),x56651))+P105(f844(f844(f328(a908),f367(x56651,x56652)),x56651))
% 201.98/201.92 [5666]P105(f844(f60(a908),x56661))+P105(f844(f844(f328(a908),f397(x56661,x56662)),x56661))
% 201.98/201.92 [5669]P105(f844(f844(f235(a908),x56692),f844(a112,x56691)))+P105(f844(f844(f235(a908),x56691),x56692))
% 201.98/201.92 [5670]E(f44(a1,x56701,x56702),f291(x56701,x56702))+~P105(f844(f844(f234(a1),f2(a1)),x56702))
% 201.98/201.92 [5674]E(f139(a908,f844(f301(a908,x56741),x56742)),f113(a908))+~P105(f844(f844(f234(a908),x56742),x56741))
% 201.98/201.92 [5675]~P79(x56751)+E(f844(f309(x56751,x56751,f78(x56751)),f844(f281(x56751),x56752)),f844(f303(x56751),f844(f78(x56751),x56752)))
% 201.98/201.92 [5676]~P79(x56761)+E(f844(f309(x56761,x56761,f78(x56761)),f844(f300(x56761),x56762)),f844(f282(x56761),f844(f78(x56761),x56762)))
% 201.98/201.92 [5677]~P79(x56771)+E(f844(f309(x56771,x56771,f78(x56771)),f844(f303(x56771),x56772)),f844(f281(x56771),f844(f78(x56771),x56772)))
% 201.98/201.92 [5678]~P79(x56781)+E(f844(f309(x56781,x56781,f78(x56781)),f844(f282(x56781),x56782)),f844(f300(x56781),f844(f78(x56781),x56782)))
% 201.98/201.92 [5689]E(x56891,f188(f916(x56892,a904)))+P105(f844(f844(f328(x56892),f900(x56891,x56892)),x56891))
% 201.98/201.92 [5690]E(x56901,f188(f916(x56902,a904)))+P105(f844(f844(f328(x56902),f348(x56901,x56902)),x56901))
% 201.98/201.92 [5701]~P105(f844(f844(f235(a908),x57011),x57012))+P105(f844(f844(f234(a908),x57011),x57012))
% 201.98/201.92 [5702]~P105(f844(f844(f235(a1),x57021),x57022))+P105(f844(f844(f234(a1),x57021),x57022))
% 201.98/201.92 [5718]E(f46(x57181,x57182),f844(f844(f251(a1,a1),f2(a1)),x57181))+~P105(f844(f844(f235(a1),x57181),x57182))
% 201.98/201.92 [5720]E(f215(f844(f78(a1),x57201),f844(f78(a1),x57202)),f215(x57201,x57202))+~P105(f844(f844(f235(a1),x57202),f2(a1)))
% 201.98/201.92 [5732]E(x57321,x57322)+~E(f844(a5,f844(a112,f844(a22,x57321))),f844(a5,f844(a112,f844(a22,x57322))))
% 201.98/201.92 [5737]E(f46(x57371,x57372),f844(f844(f251(a1,a1),f2(a1)),x57371))+~P105(f844(f844(f234(a1),x57372),f2(a1)))
% 201.98/201.92 [5766]E(f44(a908,f844(f103(a908),x57661),f844(f103(a908),x57662)),f2(a908))+~P105(f844(a193,f844(f103(a1),x57661)))
% 201.98/201.92 [5780]P105(f844(f844(f234(a1),f2(a1)),f877(x57801)))+~P105(f844(x57801,f844(f100(a1),x57802)))
% 201.98/201.92 [5813]P39(f302(a1,x58131,x58132))+~P105(f844(f844(f234(a1),f2(a1)),x58131))
% 201.98/201.92 [5818]~P105(f844(f60(x58181),x58182))+P105(f844(f60(f916(x58181,a904)),f844(f307(x58181),x58182)))
% 201.98/201.92 [5831]E(f844(f844(f79(a1),x58311),f844(f100(a1),f901(x58312,x58311))),x58312)+~P105(f844(f844(f234(a1),x58311),x58312))
% 201.98/201.92 [5839]P105(f844(f844(f234(a908),x58391),x58392))+P105(f844(f844(f234(a908),f844(a112,x58392)),x58391))
% 201.98/201.92 [5883]E(f844(f844(f35(a908),f844(f103(a908),x58831)),f844(f103(a908),x58832)),f2(a908))+~P105(f844(a193,f844(f103(a1),x58831)))
% 201.98/201.92 [5884]E(f844(f844(f80(a908),f844(f103(a908),x58841)),f844(f103(a908),x58842)),f2(a908))+~P105(f844(f844(f235(a1),x58841),a82))
% 201.98/201.92 [5886]P105(f844(f844(f234(a908),x58861),f844(a112,x58862)))+~P105(f844(f844(f234(a908),x58861),x58862))
% 201.98/201.92 [5888]P105(f844(f844(f235(a908),x58881),f844(a112,x58882)))+~P105(f844(f844(f234(a908),x58881),x58882))
% 201.98/201.92 [5890]P105(f844(f844(f235(a908),x58901),f844(a112,x58902)))+~P105(f844(f844(f235(a908),x58901),x58902))
% 201.98/201.92 [5893]~E(x58931,x58932)+P105(f844(f844(f235(a1),x58931),f844(f844(f79(a1),x58932),f77(a1))))
% 201.98/201.92 [5896]E(f44(a1,x58961,x58962),f2(a1))+E(f844(f844(f3(a1),x58962),f44(a1,x58961,x58962)),f44(a1,f844(f78(a1),x58961),x58962))
% 201.98/201.92 [5905]E(x59051,f113(x59052))+P105(f844(f844(f328(x59052),f144(x59052,x59051)),f844(f172(x59052),x59051)))
% 201.98/201.92 [5917]E(f84(f915(a908,a908),f47(x59171,x59172)),f844(f844(f251(a908,a908),f2(a908)),x59171))+~P105(f844(f844(f235(a908),x59171),x59172))
% 201.98/201.92 [5961]E(f844(f844(f3(a908),f844(f103(a908),x59611)),f844(f103(a908),x59612)),f844(f103(a908),x59611))+~P105(f844(f844(f235(a1),x59612),a82))
% 201.98/201.92 [5962]E(f844(f844(f79(a908),f844(f103(a908),x59621)),f844(f103(a908),x59622)),f844(f103(a908),x59622))+~P105(f844(f844(f235(a1),x59621),a82))
% 201.98/201.92 [5969]E(f844(a112,f844(f844(f79(a908),x59691),f739(x59692,x59691))),x59692)+~P105(f844(f844(f235(a908),x59691),x59692))
% 201.98/201.92 [5993]P105(f844(x59931,x59932))+~P105(f844(x59931,f844(a88,f570(x59932,x59931))))
% 201.98/201.92 [5994]P105(f844(x59941,x59942))+~P105(f844(x59941,f844(a5,f805(x59942,x59941))))
% 201.98/201.92 [6003]~P105(f844(f844(f235(a908),x60031),f844(a112,x60032)))+P105(f844(f844(f234(a908),x60031),x60032))
% 201.98/201.92 [6049]E(f844(f844(f308(a908),x60491),f844(f301(a908,x60492),x60491)),f844(f301(a908,x60492),f844(a112,x60491)))+~P105(f844(f844(f234(a908),x60492),x60491))
% 201.98/201.92 [6051]E(x60511,f113(x60512))+E(f844(f844(f134(x60512),f114(x60512,x60511)),f844(f844(f151(x60512),f144(x60512,x60511)),f113(x60512))),x60511)
% 201.98/201.92 [6068]P105(f844(f60(x60681),x60682))+~P105(f844(f844(f235(a908),f2(a908)),f844(f34(x60681),x60682)))
% 201.98/201.92 [6071]~E(x60711,f188(f916(x60712,a904)))+~P105(f844(f844(f235(a908),f2(a908)),f844(f34(x60712),x60711)))
% 201.98/201.92 [6083]~P105(f844(f844(f235(a908),x60831),x60832))+P105(f844(f844(f234(a908),f844(a112,x60831)),x60832))
% 201.98/201.92 [6087]~P108(x60871)+E(f150(x60871,x60871,f7(x60871),f152(x60871,x60872)),f139(x60871,f844(f172(x60871),x60872)))
% 201.98/201.92 [6090]E(x60901,f113(x60902))+P105(f844(f844(f328(x60902),f844(f141(x60902),x60901)),f844(f172(x60902),x60901)))
% 201.98/201.92 [6096]~P124(x60961)+P105(f844(f844(f235(x60961),x60962),f844(f844(f79(x60961),x60962),f77(x60961))))
% 201.98/201.92 [6098]~P86(x60981)+P105(f844(f844(f234(x60981),f844(f78(x60981),x60982)),f844(f75(x60981),x60982)))
% 201.98/201.92 [6112]~E(x61121,x61122)+E(f289(a908,f286(a908),x61121,x61122),f844(f844(f308(a908),x61121),f188(f916(a908,a904))))
% 201.98/201.92 [6130]P105(f844(f60(a908),x61301))+~P105(f844(f844(f234(a908),f397(x61301,x61302)),x61302))
% 201.98/201.92 [6131]P105(f844(f60(a908),x61311))+~P105(f844(f844(f235(a908),f367(x61311,x61312)),x61312))
% 201.98/201.92 [6134]~P105(f844(f60(f915(x61341,x61341)),x61342))+P105(f844(f60(x61341),f844(f280(x61341),x61342)))
% 201.98/201.92 [6189]E(f289(a908,f286(a908),x61891,x61892),f188(f916(a908,a904)))+P105(f844(f844(f286(a908),x61891),x61892))
% 201.98/201.92 [6192]~P105(f844(f844(f235(a908),x61922),f844(a112,x61921)))+~P105(f844(f844(f235(a908),x61921),x61922))
% 201.98/201.92 [6193]~P109(x61931)+E(f844(f844(f101(f916(x61931,a904)),f844(f300(x61931),x61932)),f844(f282(x61931),x61932)),f844(f844(f308(x61931),x61932),f188(f916(x61931,a904))))
% 201.98/201.92 [6205]P105(f844(f60(x62051),x62052))+~P105(f844(f60(f916(x62051,a904)),f844(f307(x62051),x62052)))
% 201.98/201.92 [6227]P105(f844(f844(f234(a908),f844(a112,x62271)),f844(a112,x62272)))+~P105(f844(f844(f234(a908),x62271),x62272))
% 201.98/201.92 [6228]P105(f844(f844(f234(a908),f844(a22,x62281)),f844(a22,x62282)))+~P105(f844(f844(f234(a99),x62281),x62282))
% 201.98/201.92 [6229]P105(f844(f844(f234(a99),f844(a5,x62291)),f844(a5,x62292)))+~P105(f844(f844(f234(a908),x62291),x62292))
% 201.98/201.92 [6231]P105(f844(f844(f235(a908),f844(a112,x62311)),f844(a112,x62312)))+~P105(f844(f844(f235(a908),x62311),x62312))
% 201.98/201.92 [6232]P105(f844(f844(f235(a908),f844(a22,x62321)),f844(a22,x62322)))+~P105(f844(f844(f235(a99),x62321),x62322))
% 201.98/201.92 [6233]P105(f844(f844(f235(a99),f844(a5,x62331)),f844(a5,x62332)))+~P105(f844(f844(f235(a908),x62331),x62332))
% 201.98/201.92 [6238]E(x62381,x62382)+~E(f844(f309(a908,a1,f100(a1)),x62381),f844(f309(a908,a1,f100(a1)),x62382))
% 201.98/201.92 [6254]P105(f844(f844(f234(a908),x62541),x62542))+~P105(f844(f844(f234(a908),f844(a112,x62541)),x62542))
% 201.98/201.92 [6257]P105(f844(f844(f235(a908),x62571),x62572))+~P105(f844(f844(f234(a908),f844(a112,x62571)),x62572))
% 201.98/201.92 [6258]P105(f844(f844(f235(a908),x62581),x62582))+~P105(f844(f844(f235(a908),f844(a112,x62581)),x62582))
% 201.98/201.92 [6278]E(f44(a1,x62781,x62782),f2(a1))+E(f844(f844(f3(a1),f44(a1,x62781,x62782)),x62782),f44(a1,x62781,f844(f78(a1),x62782)))
% 201.98/201.92 [6344]E(f844(f34(f916(x63441,a904)),f844(f307(x63441),x63442)),f844(f844(f243(a908),f844(a112,f844(a112,f2(a908)))),f844(f34(x63441),x63442)))+~P105(f844(f60(x63441),x63442))
% 201.98/201.92 [6347]E(x63471,f113(x63472))+E(f844(f844(f164(x63472),x63471),f844(f844(f3(a908),f844(f189(f909(x63472)),x63471)),f77(a908))),f144(x63472,x63471))
% 201.98/201.92 [6369]E(x63691,f113(x63692))+E(f844(f844(f134(x63692),f844(f171(x63692),x63691)),f844(f844(f151(x63692),f844(f141(x63692),x63691)),f113(x63692))),f844(f167(x63692),x63691))
% 201.98/201.92 [6401]~P105(f844(f60(x64011),f36(f916(x64011,a904),x64012)))+P105(f844(f60(f916(x64011,a904)),x64012))
% 201.98/201.92 [6423]P105(f844(f844(f234(a908),f844(f103(a908),x64231)),f844(f103(a908),x64232)))+~P105(f844(f844(f234(a1),x64231),a82))
% 201.98/201.92 [6445]~P105(f844(f844(f235(a1),x64451),x64452))+P105(f844(f844(f234(a1),x64451),f844(f844(f3(a1),x64452),f77(a1))))
% 201.98/201.92 [6446]~P105(f844(f844(f234(a1),x64461),x64462))+P105(f844(f844(f235(a1),x64461),f844(f844(f79(a1),x64462),f77(a1))))
% 201.98/201.92 [6447]~P105(f844(f844(f235(a1),x64471),x64472))+P105(f844(f844(f235(a1),x64471),f844(f844(f79(a1),x64472),f77(a1))))
% 201.98/201.92 [6449]~P105(f844(f844(f234(a1),x64491),x64492))+P105(f844(f844(f234(a908),f844(f103(a908),x64491)),f844(f103(a908),x64492)))
% 201.98/201.92 [6450]~P105(f844(f844(f234(a1),x64501),x64502))+P105(f844(f844(f234(a1),f844(f103(a1),x64501)),f844(f103(a1),x64502)))
% 201.98/201.92 [6452]~P105(f844(f844(f234(a908),x64521),x64522))+P105(f844(f844(f234(a1),f844(f100(a1),x64521)),f844(f100(a1),x64522)))
% 201.98/201.92 [6453]~P105(f844(f844(f235(a1),x64531),x64532))+P105(f844(f844(f235(a1),f844(f103(a1),x64531)),f844(f103(a1),x64532)))
% 201.98/201.92 [6455]~P105(f844(f844(f235(a908),x64551),x64552))+P105(f844(f844(f235(a1),f844(f100(a1),x64551)),f844(f100(a1),x64552)))
% 201.98/201.92 [6476]~P105(f844(f844(f234(a908),x64761),x64762))+~P105(f844(f844(f234(a908),f844(a112,x64762)),x64761))
% 201.98/201.92 [6519]~P105(f844(f844(f234(a908),f844(a112,x65191)),f844(a112,x65192)))+P105(f844(f844(f234(a908),x65191),x65192))
% 201.98/201.92 [6520]~P105(f844(f844(f234(a99),f844(a5,x65201)),f844(a5,x65202)))+P105(f844(f844(f234(a908),x65201),x65202))
% 201.98/201.92 [6521]~P105(f844(f844(f234(a908),f844(a22,x65211)),f844(a22,x65212)))+P105(f844(f844(f234(a99),x65211),x65212))
% 201.98/201.92 [6523]~P105(f844(f844(f235(a908),f844(a112,x65231)),f844(a112,x65232)))+P105(f844(f844(f235(a908),x65231),x65232))
% 201.98/201.92 [6524]~P105(f844(f844(f235(a99),f844(a5,x65241)),f844(a5,x65242)))+P105(f844(f844(f235(a908),x65241),x65242))
% 201.98/201.92 [6525]~P105(f844(f844(f235(a908),f844(a104,x65251)),f844(a104,x65252)))+P105(f844(f844(f235(a1),x65251),x65252))
% 201.98/201.92 [6526]~P105(f844(f844(f235(a908),f844(a22,x65261)),f844(a22,x65262)))+P105(f844(f844(f235(a99),x65261),x65262))
% 201.98/201.92 [6566]~P105(f844(f844(f235(a908),f844(a104,x65662)),f844(a104,x65661)))+P105(f844(f844(f235(a1),f2(a1)),x65661))
% 201.98/201.92 [6597]P105(f844(f844(f234(a1),f2(a1)),f44(a1,x65971,x65972)))+~P105(f844(f844(f235(a1),f2(a1)),x65972))
% 201.98/201.92 [6760]P36(x67601,x67602)+~E(f844(f844(f288(x67601,x67601,x67601),x67602),x67602),f188(f916(f915(x67601,x67601),a904)))
% 201.98/201.92 [6777]~P36(x67771,x67772)+P36(x67771,f844(f844(f288(x67771,x67771,x67771),x67772),x67772))
% 201.98/201.92 [6788]P105(f844(f844(f234(a1),x67881),x67882))+~P105(f844(f844(f235(a1),x67881),f844(f844(f79(a1),x67882),f77(a1))))
% 201.98/201.92 [6789]P105(f844(f844(f235(a1),x67891),x67892))+~P105(f844(f844(f234(a1),x67891),f844(f844(f3(a1),x67892),f77(a1))))
% 201.98/201.92 [6792]P105(f844(f844(f234(a908),x67921),x67922))+~P105(f844(f844(f234(a1),f844(f100(a1),x67921)),f844(f100(a1),x67922)))
% 201.98/201.92 [6793]P105(f844(f844(f234(a1),x67931),x67932))+~P105(f844(f844(f234(a1),f844(f103(a1),x67931)),f844(f103(a1),x67932)))
% 201.98/201.92 [6795]P105(f844(f844(f235(a908),x67951),x67952))+~P105(f844(f844(f235(a1),f844(f100(a1),x67951)),f844(f100(a1),x67952)))
% 201.98/201.92 [6796]P105(f844(f844(f235(a1),x67961),x67962))+~P105(f844(f844(f235(a908),f844(f103(a908),x67961)),f844(f103(a908),x67962)))
% 201.98/201.92 [6797]P105(f844(f844(f235(a1),x67971),x67972))+~P105(f844(f844(f235(a1),f844(f103(a1),x67971)),f844(f103(a1),x67972)))
% 201.98/201.92 [6870]~E(f289(a908,f286(a908),x68701,x68702),f188(f916(a908,a904)))+~P105(f844(f844(f286(a908),x68701),x68702))
% 201.98/201.92 [6894]~E(f688(x68942,x68941),f113(x68941))+E(f844(f142(f909(x68941),f909(x68941),f134(x68941),f113(x68941)),x68942),f113(x68941))
% 201.98/201.92 [6895]~E(f689(x68952,x68951),f113(x68951))+E(f844(f142(f909(x68951),f909(x68951),f134(x68951),f113(x68951)),x68952),f113(x68951))
% 201.98/201.92 [6899]~P4(x68991)+E(f844(f142(x68991,x68991,f110(x68991),f188(x68991)),x68992),f36(x68991,f844(f172(x68991),x68992)))
% 201.98/201.92 [6900]~P4(x69001)+E(f844(f142(x69001,x69001,f101(x69001),f241(x69001)),x69002),f37(x69001,f844(f172(x69001),x69002)))
% 201.98/201.92 [6914]E(x69141,f2(a99))+E(f844(f844(f79(a908),f844(a22,f844(f844(f3(a99),x69141),f77(a99)))),f844(a112,x69142)),f844(f844(f79(a908),f844(a22,x69141)),x69142))
% 201.98/201.92 [6963]P105(f844(f844(f235(a1),f844(f844(f3(a1),x69631),x69632)),f2(a1)))+~P105(f844(f844(f235(a1),x69631),x69632))
% 201.98/201.92 [6988]~P108(x69881)+E(f844(f844(f110(f916(x69881,a904)),f844(f844(f308(x69881),x69882),f188(f916(x69881,a904)))),f844(f303(x69881),x69882)),f844(f282(x69881),x69882))
% 201.98/201.92 [7061]~P58(x70611,x70612)+P36(x70611,f844(f261(f915(x70611,x70611)),f844(f256(x70611,x70611,a904),x70612)))
% 201.98/201.92 [7062]~P58(x70621,x70622)+P56(x70621,f844(f261(f915(x70621,x70621)),f844(f256(x70621,x70621,a904),x70622)))
% 201.98/201.92 [7063]~P48(x70631,x70632)+P37(x70631,f844(f261(f915(x70631,x70631)),f844(f256(x70631,x70631,a904),x70632)))
% 201.98/201.92 [7064]~P49(x70641,x70642)+P50(x70641,f844(f261(f915(x70641,x70641)),f844(f256(x70641,x70641,a904),x70642)))
% 201.98/201.92 [7065]E(x70651,f188(f916(x70652,a904)))+~P105(f844(f844(f234(f916(x70652,a904)),x70651),f188(f916(x70652,a904))))
% 201.98/201.92 [7150]~P105(f844(f844(f235(a908),f2(a908)),x71502))+P105(f844(f844(f234(a908),f44(a908,x71501,x71502)),x71502))
% 201.98/201.92 [7151]~P105(f844(f844(f234(a1),f2(a1)),x71511))+P105(f844(f844(f234(a1),f44(a1,x71511,x71512)),x71511))
% 201.98/201.92 [7152]~P105(f844(f844(f235(a908),f2(a908)),x71522))+P105(f844(f844(f235(a908),f44(a908,x71521,x71522)),x71522))
% 201.98/201.92 [7154]~P105(f844(f844(f235(a1),f2(a1)),x71542))+P105(f844(f844(f235(a1),f44(a1,x71541,x71542)),x71542))
% 201.98/201.92 [7230]~P109(x72301)+E(f844(f844(f3(f916(x72301,a904)),f844(f844(f308(x72301),x72302),f188(f916(x72301,a904)))),f844(f281(x72301),x72302)),f844(f844(f308(x72301),x72302),f188(f916(x72301,a904))))
% 201.98/201.92 [7303]~P42(x73031,x73032)+P51(x73031,f241(f916(x73031,a904)),f844(f261(f915(x73031,x73031)),f844(f256(x73031,x73031,a904),x73032)))
% 201.98/201.92 [7304]P105(f844(x73041,x73042))+P105(f844(f844(f328(f916(f915(a908,a908),a904)),f570(x73042,x73041)),a98))
% 201.98/201.92 [7348]E(f844(f844(f134(a908),f139(a908,f844(f301(a908,x73481),x73482))),f844(f844(f151(a908),x73482),f113(a908))),f139(a908,f844(f301(a908,x73481),f844(a112,x73482))))+~P105(f844(f844(f234(a908),x73481),x73482))
% 201.98/201.92 [7501]E(x75011,f2(a908))+~E(f844(f142(a908,a908,f79(a908),x75011),x75012),f2(a908))
% 201.98/201.92 [7526]~P105(f844(f844(f235(a1),f844(f844(f3(a1),x75261),x75262)),f2(a1)))+P105(f844(f844(f235(a1),x75261),x75262))
% 201.98/201.92 [7554]P36(x75541,x75542)+~P36(x75541,f844(f844(f288(x75541,x75541,x75541),x75542),x75542))
% 201.98/201.92 [7580]~P105(f844(f844(f234(a908),f844(a112,x75801)),x75802))+P105(f185(a904,a238,f844(f234(a908),x75801),x75802))
% 201.98/201.92 [7732]P24(a908,a908,f844(f844(f9(a908,a908,a908),f3(a908)),x77321),x77322)+P105(f844(f844(f328(a908),f571(x77321,x77322)),x77322))
% 201.98/201.92 [7788]E(f844(f844(f844(f64(a908,x77881,f79(a908)),f844(f18(a908,x77881),f77(a908))),f2(a908)),x77882),f844(f34(x77881),x77882))+~P105(f844(f60(x77881),x77882))
% 201.98/201.92 [7829]P24(a908,a908,f844(f844(f9(a908,a908,a908),f3(a908)),x78291),x78292)+~P105(f844(f844(f234(a908),x78291),f571(x78291,x78292)))
% 201.98/201.92 [7884]P36(x78841,x78842)+P105(f844(f844(f234(f916(x78841,a904)),f569(x78842,x78841)),f844(f284(x78841,x78841,x78842),f569(x78842,x78841))))
% 201.98/201.92 [7889]P58(x78891,x78892)+~P36(x78891,f844(f261(f915(x78891,x78891)),f844(f256(x78891,x78891,a904),x78892)))
% 201.98/201.92 [7890]P48(x78901,x78902)+~P37(x78901,f844(f261(f915(x78901,x78901)),f844(f256(x78901,x78901,a904),x78902)))
% 201.98/201.92 [7891]P49(x78911,x78912)+~P50(x78911,f844(f261(f915(x78911,x78911)),f844(f256(x78911,x78911,a904),x78912)))
% 201.98/201.92 [7957]P105(f844(f844(f234(a908),f844(a112,x79571)),x79572))+~P105(f185(a904,a238,f844(f234(a908),x79571),x79572))
% 201.98/201.92 [8012]P105(f844(f844(f328(f915(a908,a908)),f844(f844(f251(a908,a908),x80121),x80122)),f306(a908,a316)))+~P105(f844(f844(f234(a908),x80121),x80122))
% 201.98/201.92 [8107]P42(x81071,x81072)+~P51(x81071,f241(f916(x81071,a904)),f844(f261(f915(x81071,x81071)),f844(f256(x81071,x81071,a904),x81072)))
% 201.98/201.92 [8162]~P105(f844(f137(x81621),x81622))+P105(f844(f137(f916(x81621,a904)),f844(f844(f154(f909(x81621),f916(x81621,a904)),f172(x81621)),f53(x81621,x81622))))
% 201.98/201.92 [8358]~P36(x83581,f844(f285(x83581,x83581),x83582))+P36(x83581,f844(f285(x83581,x83581),f844(f844(f288(x83581,x83581,x83581),x83582),f306(x83581,x83582))))
% 201.98/201.92 [8456]P25(x84561,a908,f809(x84562,x84561),x84562,f844(f301(a908,f2(a908)),f844(f34(x84561),x84562)))+~P105(f844(f60(x84561),x84562))
% 201.98/201.92 [8457]P25(a908,x84571,f810(x84572,x84571),f844(f301(a908,f2(a908)),f844(f34(x84571),x84572)),x84572)+~P105(f844(f60(x84571),x84572))
% 201.98/201.92 [8474]P25(a908,x84741,f811(x84742,x84741),f302(a908,f77(a908),f844(f34(x84741),x84742)),x84742)+~P105(f844(f60(x84741),x84742))
% 201.98/201.92 [8483]P105(f844(f60(f915(x84831,x84831)),f844(f844(f288(x84831,x84831,x84831),x84832),f306(x84831,x84832))))+~P105(f844(f60(f915(x84831,x84831)),x84832))
% 201.98/201.92 [8510]E(x85101,f2(a1))+P105(f844(f48(x85102,x85101),f844(f844(f251(a1,a1),f844(f844(f35(a1),x85102),x85101)),f44(a1,x85102,x85101))))
% 201.98/201.92 [8523]~P105(f844(f844(f328(f915(a908,a908)),f844(f844(f251(a908,a908),x85231),x85232)),f306(a908,a316)))+P105(f844(f844(f234(a908),x85231),x85232))
% 201.98/201.92 [8539]~P82(x85391)+E(f844(f142(x85391,x85391,f844(f9(x85391,x85391,x85391),f79(x85391)),f2(x85391)),f844(f168(x85391),x85392)),f844(f142(x85391,x85391,f79(x85391),f2(x85391)),x85392))
% 201.98/201.92 [8709]~P108(x87091)+E(f844(f142(f909(x87091),x87091,f844(f9(x87091,f909(x87091),f909(x87091)),f148(x87091,x87091,f7(x87091))),f113(x87091)),x87092),f150(x87091,x87091,f7(x87091),x87092))
% 201.98/201.92 [8820]~P56(x88201,f844(f261(f915(x88201,x88201)),f844(f256(x88201,x88201,a904),x88202)))+P56(x88201,f844(f261(f915(x88201,x88201)),f844(f256(x88201,x88201,a904),f242(x88201,x88201,x88202))))
% 201.98/201.92 [8834]P105(f844(f844(f328(f915(a908,a908)),f844(f844(f251(a908,a908),x88341),x88342)),f844(f844(f288(a908,a908,a908),a316),f306(a908,a316))))+~P105(f844(f844(f235(a908),x88341),x88342))
% 201.98/201.92 [8880]~P105(f844(f60(f915(x88801,x88801)),f844(f844(f288(x88801,x88801,x88801),x88802),f306(x88801,x88802))))+P105(f844(f60(f915(x88801,x88801)),x88802))
% 201.98/201.92 [8938]~P56(x89381,f844(f261(f915(x89381,x89381)),f844(f256(x89381,x89381,a904),f242(x89381,x89381,x89382))))+P56(x89381,f844(f261(f915(x89381,x89381)),f844(f256(x89381,x89381,a904),x89382)))
% 201.98/201.92 [9135]P56(x91351,x91352)+P105(f844(f844(f328(f915(x91351,x91351)),f844(f844(f251(x91351,x91351),f603(x91352,x91351)),f603(x91352,x91351))),f844(f844(f288(x91351,x91351,x91351),x91352),f306(x91351,x91352))))
% 201.98/201.92 [9136]P56(x91361,x91362)+P105(f844(f844(f328(f915(x91361,x91361)),f844(f844(f251(x91361,x91361),f614(x91362,x91361)),f614(x91362,x91361))),f844(f844(f288(x91361,x91361,x91361),x91362),f306(x91361,x91362))))
% 201.98/201.92 [9253]~P105(f844(f844(f328(f915(a908,a908)),f844(f844(f251(a908,a908),x92531),x92532)),f844(f844(f288(a908,a908,a908),a316),f306(a908,a316))))+P105(f844(f844(f235(a908),x92531),x92532))
% 201.98/201.92 [5201]~P94(x52011)+E(f844(f844(f79(x52011),f844(f103(x52011),a82)),x52012),x52012)
% 201.98/201.92 [5231]~P95(x52311)+E(f844(f844(f110(x52311),f844(f78(x52311),x52312)),x52312),f241(x52311))
% 201.98/201.92 [5232]~P95(x52321)+E(f844(f844(f101(x52321),f844(f78(x52321),x52322)),x52322),f188(x52321))
% 201.98/201.92 [5233]~P66(x52331)+E(f844(f844(f79(x52331),f844(f78(x52331),x52332)),x52332),f2(x52331))
% 201.98/201.92 [5234]~P73(x52341)+E(f844(f844(f79(x52341),f844(f78(x52341),x52342)),x52342),f2(x52341))
% 201.98/201.92 [5267]~P94(x52671)+E(f844(f844(f80(x52671),f844(f103(x52671),a97)),x52672),f844(f78(x52671),x52672))
% 201.98/201.92 [5431]~P114(x54311)+E(f844(f844(f80(x54311),f844(f78(x54311),f77(x54311))),x54312),f844(f78(x54311),x54312))
% 201.98/201.92 [5476]E(f844(f75(a1),x54761),f77(a1))+~E(f844(f75(a1),f844(f844(f80(a1),x54761),x54762)),f77(a1))
% 201.98/201.92 [5566]~P94(x55661)+E(f844(f844(f79(x55661),f77(x55661)),f844(f103(x55661),x55662)),f844(f103(x55661),f844(f844(f3(a1),x55662),a97)))
% 201.98/201.92 [5620]~P77(x56201)+E(f12(x56201,f844(f844(f308(x56201),x56202),f188(f916(x56201,a904)))),x56202)
% 201.98/201.92 [5621]~P77(x56211)+E(f13(x56211,f844(f844(f308(x56211),x56212),f188(f916(x56211,a904)))),x56212)
% 201.98/201.92 [5622]~P4(x56221)+E(f36(x56221,f844(f844(f308(x56221),x56222),f188(f916(x56221,a904)))),x56222)
% 201.98/201.92 [5623]~P108(x56231)+E(f16(x56231,f844(f844(f308(x56231),x56232),f188(f916(x56231,a904)))),x56232)
% 201.98/201.92 [5624]~P4(x56241)+E(f37(x56241,f844(f844(f308(x56241),x56242),f188(f916(x56241,a904)))),x56242)
% 201.98/201.92 [5625]~P108(x56251)+E(f17(x56251,f844(f844(f308(x56251),x56252),f188(f916(x56251,a904)))),x56252)
% 201.98/201.92 [5647]E(f844(f844(f79(a908),x56471),f844(f844(f3(a908),x56472),x56471)),x56472)+P105(f844(f844(f235(a908),x56472),x56471))
% 201.98/201.92 [5684]E(x56841,f113(x56842))+P105(f844(f844(f235(a908),f2(a908)),f844(f189(f909(x56842)),x56841)))
% 201.98/201.92 [5810]~P108(x58101)+E(f14(x58101,f232(x58101),f844(f844(f308(x58101),x58102),f188(f916(x58101,a904)))),x58102)
% 201.98/201.92 [5811]~P108(x58111)+E(f15(x58111,f233(x58111),f844(f844(f308(x58111),x58112),f188(f916(x58111,a904)))),x58112)
% 201.98/201.92 [5872]E(f844(f844(f3(a908),x58721),f844(f844(f3(a908),x58721),x58722)),x58722)+~P105(f844(f844(f234(a908),x58722),x58721))
% 201.98/201.92 [5873]E(f844(f844(f79(a908),x58731),f844(f844(f3(a908),x58732),x58731)),x58732)+~P105(f844(f844(f234(a908),x58731),x58732))
% 201.98/201.92 [5895]E(f44(a908,f844(f844(f3(a908),x58951),x58952),x58952),f44(a908,x58951,x58952))+P105(f844(f844(f235(a908),x58951),x58952))
% 201.98/201.92 [5906]E(f844(f78(a1),f844(f844(f35(a1),x59061),f844(f78(a1),x59062))),f292(x59061,x59062))+P105(f844(f844(f234(a1),f2(a1)),x59062))
% 201.98/201.92 [5908]~E(x59082,f2(a908))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f243(a908),x59081),x59082)))
% 201.98/201.92 [5971]~P94(x59711)+E(f844(f844(f79(x59711),f844(f78(x59711),f77(x59711))),f844(f103(x59711),x59712)),f844(f103(x59711),f844(f844(f79(a1),x59712),a97)))
% 201.98/201.92 [5973]E(f844(f844(f243(a908),f844(f103(a908),x59731)),x59732),f844(f844(f243(a908),f2(a908)),x59732))+~P105(f844(a193,f844(f103(a1),x59731)))
% 201.98/201.92 [6075]E(f844(f141(a908),f139(a908,f844(f301(a908,x60751),x60752))),x60751)+~P105(f844(f844(f235(a908),x60751),x60752))
% 201.98/201.92 [6091]E(f844(f844(f80(a908),f844(f103(a908),x60911)),f844(f103(a908),x60912)),f844(f103(a908),f844(f844(f80(a1),x60911),x60912)))+P105(f844(f844(f235(a1),x60911),a82))
% 201.98/201.92 [6097]~P126(x60971)+P105(f844(f844(f234(x60971),f2(x60971)),f844(f844(f80(x60971),x60972),x60972)))
% 201.98/201.92 [6109]E(f844(f844(f3(a908),f844(a112,x61091)),x61092),f844(a112,f844(f844(f3(a908),x61091),x61092)))+~P105(f844(f844(f234(a908),x61092),x61091))
% 201.98/201.92 [6113]E(f44(a908,f844(f844(f3(a908),x61131),x61132),x61132),f44(a908,x61131,x61132))+~P105(f844(f844(f234(a908),x61132),x61131))
% 201.98/201.92 [6166]E(f844(f844(f243(a908),f844(a104,x61661)),x61662),f844(a104,f844(f844(f243(a1),x61661),x61662)))+~P105(f844(f844(f234(a1),f2(a1)),x61661))
% 201.98/201.92 [6184]P105(f844(f137(x61841),x61842))+P105(f844(f844(f235(a908),f655(x61842,x61841)),f844(f189(f909(x61841)),x61842)))
% 201.98/201.92 [6185]P105(f844(f137(x61851),x61852))+P105(f844(f844(f235(a908),f659(x61852,x61851)),f844(f189(f909(x61851)),x61852)))
% 201.98/201.92 [6199]~E(x61991,f113(x61992))+~P105(f844(f844(f235(a908),f2(a908)),f844(f189(f909(x61992)),x61991)))
% 201.98/201.92 [6210]E(f144(a908,f139(a908,f844(f301(a908,x62101),x62102))),f844(f844(f3(a908),x62102),f77(a908)))+~P105(f844(f844(f235(a908),x62101),x62102))
% 201.98/201.92 [6213]E(f844(f844(f79(a1),x62131),f844(f100(a1),f844(a112,f340(x62132,x62131)))),x62132)+~P105(f844(f844(f235(a1),x62131),x62132))
% 201.98/201.92 [6220]E(x62201,f2(a908))+E(f844(f844(f80(a908),x62202),f844(f844(f243(a908),x62202),f844(f844(f3(a908),x62201),f77(a908)))),f844(f844(f243(a908),x62202),x62201))
% 201.98/201.92 [6248]E(f844(f844(f80(a908),f844(a104,x62481)),f844(a104,x62482)),f844(a104,f844(f844(f80(a1),x62481),x62482)))+~P105(f844(f844(f234(a1),f2(a1)),x62481))
% 201.98/201.92 [6249]E(f844(f844(f35(a908),f844(a104,x62491)),f844(a104,x62492)),f844(a104,f844(f844(f35(a1),x62491),x62492)))+~P105(f844(f844(f234(a1),f2(a1)),x62491))
% 201.98/201.92 [6264]~P112(x62641)+E(f844(f844(f79(x62641),x62642),x62642),f844(f844(f80(x62641),f844(f844(f79(x62641),f77(x62641)),f77(x62641))),x62642))
% 201.98/201.92 [6287]E(f844(f844(f3(a1),f844(f100(a1),x62871)),f844(f100(a1),x62872)),f844(f100(a1),f844(f844(f3(a908),x62871),x62872)))+~P105(f844(f844(f234(a908),x62872),x62871))
% 201.98/201.92 [6289]E(f844(f844(f251(a1,a1),f844(f103(a1),a97)),f844(f844(f79(a1),x62891),x62892)),f49(x62891,x62892))+~P105(f844(f844(f234(a1),x62892),f2(a1)))
% 201.98/201.92 [6322]E(f179(x63221,x63222),f113(f909(x63221)))+P105(f844(f844(f328(f909(x63221)),f654(x63222,x63221)),f844(f172(f909(x63221)),x63222)))
% 201.98/201.92 [6331]E(f116(a1,f844(f129(a1),x63311),f128(x63312,f844(f844(f79(a1),x63311),f77(a1)))),f128(x63312,x63311))+P105(f844(f844(f235(a1),x63312),x63311))
% 201.98/201.92 [6385]~P105(f844(f844(f286(a908),x63851),x63852))+P105(f844(f844(f286(a908),x63851),f844(f844(f79(a908),x63852),x63851)))
% 201.98/201.92 [6407]E(f844(f844(f151(a1),x64071),f178(f844(f844(f79(a1),x64071),f77(a1)),x64072)),f178(x64071,x64072))+~P105(f844(f844(f234(a1),x64071),x64072))
% 201.98/201.92 [6448]~P105(f844(f844(f235(a908),x64482),x64481))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f3(a908),x64481),x64482)))
% 201.98/201.92 [6481]~P105(f844(f844(f235(a908),x64811),f844(a104,x64812)))+P105(f844(f844(f235(a1),f844(f100(a1),x64811)),x64812))
% 201.98/201.92 [6510]~P108(x65101)+E(f844(f844(f110(f916(x65101,a904)),f844(f281(x65101),x65102)),f844(f844(f308(x65101),x65102),f188(f916(x65101,a904)))),f844(f300(x65101),x65102))
% 201.98/201.92 [6511]~P105(f844(f844(f234(a1),f2(a1)),x65111))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f243(a1),x65111),x65112)))
% 201.98/201.92 [6514]~P105(f844(f844(f235(a908),f2(a908)),x65141))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f243(a908),x65141),x65142)))
% 201.98/201.92 [6541]~E(f844(x65411,f2(a908)),f2(a908))+E(f844(f844(f8(a908,a908),x65411),f302(a908,f844(a112,f2(a908)),x65412)),f844(f844(f8(a908,a908),x65411),f302(a908,f2(a908),x65412)))
% 201.98/201.92 [6605]~P94(x66051)+E(f844(f844(f80(x66051),f844(f844(f79(x66051),f77(x66051)),f77(x66051))),f844(f103(x66051),x66052)),f844(f103(x66051),f844(f844(f79(a1),x66052),x66052)))
% 201.98/201.92 [6622]E(f844(f844(f308(a1),x66221),f302(a1,f844(f844(f79(a1),x66221),f77(a1)),x66222)),f302(a1,x66221,x66222))+P105(f844(f844(f235(a1),x66222),x66221))
% 201.98/201.92 [6623]P105(f844(f844(f235(a908),x66231),f844(a104,x66232)))+~P105(f844(f844(f235(a1),f844(f100(a1),x66231)),x66232))
% 201.98/201.92 [6723]P105(f844(f844(f286(a908),x67231),x67232))+~P105(f844(f844(f286(a908),x67231),f844(f844(f79(a908),x67232),x67231)))
% 201.98/201.92 [6728]E(f844(a104,f844(f844(f35(a1),f844(f103(a1),x67281)),f844(f103(a1),x67282))),f844(f844(f35(a908),f844(f103(a908),x67281)),f844(f103(a908),x67282)))+P105(f844(a193,f844(f103(a1),x67281)))
% 201.98/201.92 [6790]P105(f844(f844(f235(a908),x67901),x67902))+~P105(f844(f844(f235(a908),f2(a908)),f844(f844(f3(a908),x67902),x67901)))
% 201.98/201.92 [6833]P105(f844(f844(f235(a908),f2(a908)),x68331))+~P105(f844(f844(f235(a908),f2(a908)),f844(f844(f80(a908),x68332),x68331)))
% 201.98/201.92 [6834]P105(f844(f844(f235(a908),f2(a908)),x68341))+~P105(f844(f844(f235(a908),f2(a908)),f844(f844(f80(a908),x68341),x68342)))
% 201.98/201.92 [6853]~P105(f844(f844(f234(a1),x68531),f2(a1)))+E(f844(f844(f80(a908),f844(a104,f844(f78(a1),x68531))),f844(a104,f844(f78(a1),x68532))),f844(a104,f844(f844(f80(a1),x68531),x68532)))
% 201.98/201.92 [6911]~E(x69112,f188(f916(x69111,a904)))+P105(f844(f844(f234(f916(x69111,a904)),x69112),f844(f78(f916(x69111,a904)),x69112)))
% 201.98/201.92 [6973]~P94(x69731)+E(f844(f844(f79(x69731),f844(f844(f79(x69731),f2(x69731)),f844(f103(x69731),x69732))),f844(f103(x69731),x69732)),f844(f103(x69731),f844(f844(f79(a1),x69732),x69732)))
% 201.98/201.92 [7027]~P105(f844(f844(f235(a1),x70271),x70272))+P105(f844(f844(f234(a1),f844(f844(f79(a1),x70271),f77(a1))),x70272))
% 201.98/201.92 [7094]E(x70941,f2(a908))+~P105(f844(f844(f234(a1),f844(f100(a1),x70942)),f844(f78(a1),f844(f100(a1),x70941))))
% 201.98/201.92 [7095]E(x70951,f2(a908))+~P105(f844(f844(f234(a1),f844(f100(a1),x70951)),f844(f78(a1),f844(f100(a1),x70952))))
% 201.98/201.92 [7198]E(f844(f844(f251(a1,a1),f844(f103(a1),a97)),f844(f844(f79(a1),x71981),x71982)),f49(x71981,x71982))+~P105(f844(f844(f234(a1),f2(a1)),f844(f844(f79(a1),x71981),x71982)))
% 201.98/201.92 [7242]~P26(x72421,x72422)+P36(x72421,f844(f250(f916(f915(x72421,x72421),a904),f916(f915(x72421,x72421),a904)),x72422))
% 201.98/201.92 [7261]~P105(f844(f844(f234(a908),f844(a112,f2(a908))),x72611))+P105(f844(f844(f234(a908),f844(a112,f2(a908))),f844(f844(f243(a908),x72611),x72612)))
% 201.98/201.92 [7441]~P105(f844(f844(f234(a1),x74411),x74412))+P105(f844(f844(f234(a1),f844(f844(f79(a1),x74411),x74411)),f844(f844(f79(a1),x74412),x74412)))
% 201.98/201.92 [7446]~P105(f844(f844(f235(a1),x74461),x74462))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x74461),x74461)),f844(f844(f79(a1),x74462),x74462)))
% 201.98/201.92 [7502]~P105(f844(f844(f235(a908),f2(a908)),x75021))+P105(f844(f844(f235(a908),f844(f844(f3(a908),x75021),f844(a112,x75022))),x75021))
% 201.98/201.92 [7535]P105(f844(f844(f234(a908),f844(a112,f2(a908))),x75351))+~P105(f844(f844(f234(a908),f844(a112,f2(a908))),f844(f844(f80(a908),x75352),x75351)))
% 201.98/201.92 [7536]P105(f844(f844(f234(a908),f844(a112,f2(a908))),x75361))+~P105(f844(f844(f234(a908),f844(a112,f2(a908))),f844(f844(f80(a908),x75361),x75362)))
% 201.98/201.92 [7540]P105(f844(f844(f234(a908),f844(f844(f164(a908),x75401),x75402)),f844(f165(a908),x75401)))+~P105(f844(f844(f235(a908),x75402),f844(f189(f909(a908)),x75401)))
% 201.98/201.92 [7579]P105(f844(f844(f235(a1),x75791),x75792))+~P105(f844(f844(f234(a1),f844(f844(f79(a1),x75791),f77(a1))),x75792))
% 201.98/201.92 [7621]P105(f844(f60(x76211),f241(f916(x76211,a904))))+~P105(f844(f60(f916(x76212,x76211)),f241(f916(f916(x76212,x76211),a904))))
% 201.98/201.92 [7622]P105(f844(f60(x76221),f241(f916(x76221,a904))))+~P105(f844(f60(f914(x76222,x76221)),f241(f916(f914(x76222,x76221),a904))))
% 201.98/201.92 [7623]P105(f844(f60(x76231),f241(f916(x76231,a904))))+~P105(f844(f60(f914(x76231,x76232)),f241(f916(f914(x76231,x76232),a904))))
% 201.98/201.92 [7661]E(x76611,f188(f916(x76612,a904)))+~P105(f844(f844(f234(f916(x76612,a904)),x76611),f844(f78(f916(x76612,a904)),x76611)))
% 201.98/201.92 [7798]E(f844(f142(f909(x77981),f909(x77981),f134(x77981),f113(x77981)),x77982),f113(x77981))+P105(f844(f844(f328(f909(x77981)),f688(x77982,x77981)),f844(f172(f909(x77981)),x77982)))
% 201.98/201.92 [7799]E(f844(f142(f909(x77991),f909(x77991),f134(x77991),f113(x77991)),x77992),f113(x77991))+P105(f844(f844(f328(f909(x77991)),f689(x77992,x77991)),f844(f172(f909(x77991)),x77992)))
% 201.98/201.92 [8030]P105(f844(f844(f234(a1),x80301),x80302))+~P105(f844(f844(f234(a1),f844(f844(f79(a1),x80301),x80301)),f844(f844(f79(a1),x80302),x80302)))
% 201.98/201.92 [8035]P105(f844(f844(f235(a1),x80351),x80352))+~P105(f844(f844(f235(a1),f844(f844(f79(a1),x80351),x80351)),f844(f844(f79(a1),x80352),x80352)))
% 201.98/201.92 [8127]~P112(x81271)+E(f844(f844(f80(x81271),f844(f844(f79(x81271),f77(x81271)),f77(x81271))),f844(f844(f8(a908,x81271),f100(x81271)),f302(a908,f77(a908),x81272))),f844(f844(f80(x81271),f844(f100(x81271),x81272)),f844(f844(f79(x81271),f844(f100(x81271),x81272)),f77(x81271))))
% 201.98/201.92 [8176]P105(f844(f844(f328(a908),x81761),x81762))+~P105(f844(f844(f328(a1),f844(f100(a1),x81761)),f844(f309(a908,a1,f100(a1)),x81762)))
% 201.98/201.92 [8330]~P105(f844(f60(x83301),x83302))+E(f844(f309(a908,x83301,f544(x83302,x83301)),f844(f261(a908),f844(f844(f9(a908,a908,a904),f235(a908)),f545(x83302,x83301)))),x83302)
% 201.98/201.92 [8607]P52(x86071,x86072)+P105(f844(f844(f328(f915(x86071,x86071)),f844(f844(f251(x86071,x86071),f470(x86072,x86071)),f470(x86072,x86071))),x86072))
% 201.98/201.92 [8608]P37(x86081,x86082)+P105(f844(f844(f328(f915(x86081,x86081)),f844(f844(f251(x86081,x86081),f782(x86082,x86081)),f786(x86082,x86081))),x86082))
% 201.98/201.92 [8609]P37(x86091,x86092)+P105(f844(f844(f328(f915(x86091,x86091)),f844(f844(f251(x86091,x86091),f786(x86092,x86091)),f788(x86092,x86091))),x86092))
% 201.98/201.92 [8610]P38(x86101,x86102)+P105(f844(f844(f328(f915(x86101,x86101)),f844(f844(f251(x86101,x86101),f695(x86102,x86101)),f694(x86102,x86101))),x86102))
% 201.98/201.92 [8611]P38(x86111,x86112)+P105(f844(f844(f328(f915(x86111,x86111)),f844(f844(f251(x86111,x86111),f694(x86112,x86111)),f695(x86112,x86111))),x86112))
% 201.98/201.92 [8612]P50(x86121,x86122)+P105(f844(f844(f328(f915(x86121,x86121)),f844(f844(f251(x86121,x86121),f791(x86122,x86121)),f792(x86122,x86121))),x86122))
% 201.98/201.92 [8752]~P94(x87521)+E(f844(f844(f3(x87521),f77(x87521)),f844(f103(x87521),x87522)),f844(f103(x87521),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f78(a1),x87522))))
% 201.98/201.92 [8877]~P105(f844(f844(f235(f916(a908,a904)),x88771),x88772))+P105(f844(f844(f235(f916(a1,a904)),f844(f309(a908,a1,f100(a1)),x88771)),f844(f309(a908,a1,f100(a1)),x88772)))
% 201.98/201.92 [8911]~P105(f844(f844(f235(a1),x89111),x89112))+P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),x89111),x89111)),a97)),f844(f844(f79(a1),x89112),x89112)))
% 201.98/201.92 [8913]~P105(f844(f844(f235(a1),x89131),x89132))+P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x89131),x89131)),a97)),f844(f844(f79(a1),x89132),x89132)))
% 201.98/201.92 [8986]~P105(f844(f844(f328(a908),x89861),f844(f172(a908),x89862)))+P105(f844(f844(f234(a908),x89861),f844(f142(a908,a908,f79(a908),f2(a908)),x89862)))
% 201.98/201.92 [9075]P45(x90751,x90752)+~P105(f844(f844(f328(f915(x90751,x90751)),f844(f844(f251(x90751,x90751),f380(x90752,x90751)),f380(x90752,x90751))),x90752))
% 201.98/201.92 [9076]P37(x90761,x90762)+~P105(f844(f844(f328(f915(x90761,x90761)),f844(f844(f251(x90761,x90761),f782(x90762,x90761)),f788(x90762,x90761))),x90762))
% 201.98/201.92 [9077]P50(x90771,x90772)+~P105(f844(f844(f328(f915(x90771,x90771)),f844(f844(f251(x90771,x90771),f792(x90772,x90771)),f791(x90772,x90771))),x90772))
% 201.98/201.92 [9216]~P105(f844(f844(f234(f916(a1,a904)),f844(f309(a908,a1,f100(a1)),x92161)),f844(f309(a908,a1,f100(a1)),x92162)))+P105(f844(f844(f234(f916(a908,a904)),x92161),x92162))
% 201.98/201.92 [9217]~P105(f844(f844(f235(f916(a1,a904)),f844(f309(a908,a1,f100(a1)),x92171)),f844(f309(a908,a1,f100(a1)),x92172)))+P105(f844(f844(f235(f916(a908,a904)),x92171),x92172))
% 201.98/201.92 [9301]P105(f844(f844(f235(a1),x93011),x93012))+~P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),x93011),x93011)),a97)),f844(f844(f79(a1),x93012),x93012)))
% 201.98/201.92 [9303]P105(f844(f844(f235(a1),x93031),x93032))+~P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x93031),x93031)),a97)),f844(f844(f79(a1),x93032),x93032)))
% 201.98/201.92 [9360]~P148(a323,f851(x93601,x93602))+~P23(a903,a917,f844(f844(f308(f907(a903)),f91(a903,x93601,a919,x93602)),f188(f916(f907(a903),a904))))
% 201.98/201.92 [10186]~P103(x101861)+E(f116(f909(x101861),f844(f129(f909(x101861)),f113(x101861)),f844(f844(f844(f96(f910(f909(x101861))),f844(f844(f235(a1),f2(a1)),x101862)),f844(f118(f915(x101861,f909(x101861)),f909(x101861),f131(x101861,f909(x101861),f132(x101861,f844(f844(f3(a1),x101862),f77(a1))),f132(f909(x101861),f844(f844(f3(a1),x101862),f77(a1))))),f844(f256(x101861,f909(x101861),f910(f909(x101861))),f844(f844(f10(f916(f909(x101861),f909(x101861)),f916(f909(x101861),f910(f909(x101861))),x101861),f844(f10(f909(x101861),f910(f909(x101861)),f909(x101861)),f129(f909(x101861)))),f151(x101861))))),f115(f909(x101861)))),f132(f909(x101861),x101862))
% 201.98/201.92 [10208]~P105(f844(f60(x102081),x102082))+E(f844(f189(f909(x102081)),f89(f909(x102081),f844(f844(f20(f909(x102081),a904,a904),f844(f844(f10(a904,f916(a904,a904),f909(x102081)),a325),f844(f844(f9(f909(x102081),f916(x102081,a904),a904),f844(f844(f10(f916(x102081,a904),f916(f916(x102081,a904),a904),f909(x102081)),a324),f172(x102081))),x102082))),f137(x102081)))),f214(x102081,x102082))
% 201.98/201.92 [6209]E(f844(f844(f79(a908),f844(f844(f3(a908),x62091),x62092)),x62092),x62091)+~P105(f844(f844(f234(a908),x62092),x62091))
% 201.98/201.92 [6283]E(f844(f844(f35(a908),f844(f844(f80(a908),x62831),x62832)),x62832),x62831)+~P105(f844(f844(f235(a908),f2(a908)),x62832))
% 201.98/201.92 [6284]E(f844(f844(f35(a908),f844(f844(f80(a908),x62841),x62842)),x62841),x62842)+~P105(f844(f844(f235(a908),f2(a908)),x62841))
% 201.98/201.92 [6288]~P69(x62881)+E(f844(f844(f8(a908,x62881),f844(f164(x62881),x62882)),f844(f301(a908,f2(a908)),f844(f189(f909(x62881)),x62882))),f844(f165(x62881),x62882))
% 201.98/201.92 [6399]E(f44(a908,f844(a112,f844(f844(f80(a908),x63991),x63992)),x63991),f77(a908))+~P105(f844(f844(f235(a908),f77(a908)),x63991))
% 201.98/201.92 [6405]E(f844(a112,f844(f844(f79(a908),f844(f103(a908),x64051)),x64052)),f844(f844(f79(a908),f77(a908)),x64052))+~P105(f844(a193,f844(f103(a1),x64051)))
% 201.98/201.92 [6434]E(f844(a104,f844(f844(f243(a1),f844(f103(a1),x64341)),x64342)),f844(f844(f243(a908),f844(f103(a908),x64341)),x64342))+P105(f844(a193,f844(f103(a1),x64341)))
% 201.98/201.92 [6677]E(f844(f844(f3(a908),x66771),f844(f103(a908),f844(f844(f79(a1),x66772),a97))),f844(f844(f3(a908),f844(a112,x66771)),f844(f103(a908),x66772)))+~P105(f844(f844(f235(a1),a82),x66772))
% 201.98/201.92 [6759]E(x67591,f2(a908))+E(f844(a112,f844(f844(f79(a908),f844(f844(f3(a908),x67591),f77(a908))),x67592)),f844(f844(f79(a908),x67591),x67592))
% 201.98/201.92 [6803]E(x68031,f2(a1))+P105(f844(f844(f235(a1),f2(a1)),f844(f844(f243(a1),f844(f75(a1),x68031)),x68032)))
% 201.98/201.92 [6818]~E(x68182,f2(a908))+P105(f844(f844(f235(a1),f2(a1)),f844(f844(f243(a1),f844(f75(a1),x68181)),x68182)))
% 201.98/201.92 [6856]E(x68561,f2(a908))+E(f844(f844(f79(a908),x68562),f844(f844(f80(a908),f844(f844(f3(a908),x68561),f77(a908))),x68562)),f844(f844(f80(a908),x68561),x68562))
% 201.98/201.92 [6904]~P105(f844(f844(f234(a1),x69041),x69042))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x69041),a97)),x69042))
% 201.98/201.92 [7030]E(f844(f844(f151(a908),x70301),f139(a908,f844(f301(a908,f844(a112,x70301)),x70302))),f139(a908,f844(f301(a908,x70301),x70302)))+~P105(f844(f844(f235(a908),x70301),x70302))
% 201.98/201.92 [7233]E(x72331,x72332)+~E(f844(f844(f3(a1),f844(f844(f79(a1),x72331),x72331)),a97),f844(f844(f3(a1),f844(f844(f79(a1),x72332),x72332)),a97))
% 201.98/201.92 [7236]E(x72361,f113(x72362))+E(f265(x72362,f844(f844(f154(x72362,f915(a99,x72362)),f844(f251(a99,x72362),f77(a99))),x72361)),f274(x72362,x72361))
% 201.98/201.92 [7473]P105(f844(f844(f234(a1),x74731),x74732))+~P105(f844(f844(f235(a1),f844(f844(f79(a1),x74731),a97)),x74732))
% 201.98/201.92 [7937]~P105(f844(f844(f235(a908),x79371),x79372))+P105(f844(f844(f328(f915(a908,a908)),f844(f844(f251(a908,a908),x79371),x79372)),a239))
% 201.98/201.92 [8153]~P105(f844(f844(f235(a99),f2(a99)),x81531))+P105(f844(f844(f235(a99),f844(f250(a99,f915(a99,a99)),f844(f266(x81531),x81532))),x81531))
% 201.98/201.92 [8411]~P37(x84111,x84112)+P37(x84111,f844(f844(f110(f916(f915(x84111,x84111),a904)),x84112),f306(x84111,f188(f916(f915(x84111,x84111),a904)))))
% 201.98/201.92 [8412]~P38(x84121,x84122)+P38(x84121,f844(f844(f110(f916(f915(x84121,x84121),a904)),x84122),f306(x84121,f188(f916(f915(x84121,x84121),a904)))))
% 201.98/201.92 [8460]~P86(x84601)+P105(f844(f844(f234(x84601),f844(f75(x84601),f844(f165(x84601),x84602))),f844(f165(x84601),f844(f844(f154(x84601,x84601),f75(x84601)),x84602))))
% 201.98/201.92 [8485]P105(f844(f844(f235(a908),x84851),x84852))+~P105(f844(f844(f328(f915(a908,a908)),f844(f844(f251(a908,a908),x84851),x84852)),a239))
% 201.98/201.92 [8631]E(f844(f844(f251(x86311,x86311),f612(x86312,x86311)),f612(x86312,x86311)),x86312)+~P105(f844(f844(f328(f915(x86311,x86311)),x86312),f306(x86311,f188(f916(f915(x86311,x86311),a904)))))
% 201.98/201.92 [8674]E(f844(f301(a908,x86741),f844(f844(f79(a908),x86741),f844(f34(a908),x86742))),x86742)+~P105(f844(f844(f234(f916(a908,a904)),x86742),f844(f301(a908,x86741),f844(f844(f79(a908),x86741),f844(f34(a908),x86742)))))
% 201.98/201.92 [8904]P38(x89041,x89042)+~P38(x89041,f844(f844(f110(f916(f915(x89041,x89041),a904)),x89042),f306(x89041,f188(f916(f915(x89041,x89041),a904)))))
% 201.98/201.92 [9030]E(f844(f844(f35(a1),f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),x90301),x90301)),a97))),f844(f103(a1),f844(f844(f79(a1),x90302),x90302))),f844(f844(f35(a1),f844(f103(a1),x90301)),f844(f103(a1),x90302)))+~P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x90302)))
% 201.98/201.92 [9120]~P37(x91201,x91202)+P105(f844(f844(f234(f916(f915(x91201,x91201),a904)),f844(f844(f288(x91201,x91201,x91201),x91202),x91202)),x91202))
% 201.98/201.92 [9146]E(f177(f909(x91461),f844(f844(f10(a904,a904,f909(x91461)),a321),f844(f844(f9(f909(x91461),f909(x91461),a904),a324),f113(x91461))),x91462),f179(x91461,f179(x91461,x91462)))+~P12(a908,f844(f168(a908),f844(f844(f154(f909(x91461),a908),f189(f909(x91461))),x91462)))
% 201.98/201.92 [9149]E(f844(f844(f35(a1),f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),x91491),x91491)),a97))),f844(f103(a1),f844(f844(f79(a1),x91492),x91492))),f844(f844(f35(a1),f844(f844(f79(a1),f844(f103(a1),x91491)),f77(a1))),f844(f103(a1),x91492)))+P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x91492)))
% 201.98/201.92 [9982]P105(f844(a193,x99822))+E(f844(f844(f85(a1,a908),f844(f844(f3(a1),x99821),x99822)),f844(f844(f20(a1,a908,a908),f844(f844(f9(a1,a908,f916(a908,a908)),f844(f844(f10(a904,f916(a908,f916(a908,a908)),a1),f96(a908)),a193)),f2(a908))),a104)),f844(f844(f3(a908),f844(a104,x99821)),f844(a104,x99822)))
% 201.98/201.92 [9990]E(f844(f844(f85(a1,a908),f844(f103(a1),f844(f844(f79(a1),x99901),f844(f78(a1),x99902)))),f844(f844(f20(a1,a908,a908),f844(f844(f9(a1,a908,f916(a908,a908)),f844(f844(f10(a904,f916(a908,f916(a908,a908)),a1),f96(a908)),a193)),f2(a908))),a104)),f844(f844(f3(a908),f844(f103(a908),x99901)),f844(f103(a908),x99902)))+P105(f844(f844(f235(a1),x99902),a82))
% 201.98/201.92 [9991]~P26(x99911,x99912)+P105(f844(f844(f234(f916(f915(x99911,x99911),a904)),f844(f844(f288(x99911,x99911,x99911),f844(f250(f916(f915(x99911,x99911),a904),f916(f915(x99911,x99911),a904)),x99912)),f844(f255(f916(f915(x99911,x99911),a904),f916(f915(x99911,x99911),a904)),x99912))),f844(f250(f916(f915(x99911,x99911),a904),f916(f915(x99911,x99911),a904)),x99912)))
% 201.98/201.92 [10047]~E(f844(f34(a908),f844(f261(a908),f844(f844(f20(a908,a904,a904),f844(f844(f10(a904,f916(a904,a904),a908),a325),f844(f844(f9(a908,f916(a908,a904),a904),f328(a908)),x100471))),f844(f844(f9(a908,a908,a904),f235(a908)),f844(a112,x100472))))),f2(a908))+~P105(f844(f844(f328(a908),f2(a908)),x100471))
% 201.98/201.92 [10058]E(f298(a908,f844(f844(f20(a908,f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),a908),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),a908),f844(f10(a904,f916(a904,a904),a908),a325)),f286(a908)))),f844(f844(f10(f916(a908,a904),f916(a908,a904),a908),f844(f10(a904,a904,a908),a321)),f844(f9(a908,a908,a904),f286(a908)))),x100581,x100582),f188(f916(a908,a904)))+~P105(f844(f844(f286(a908),x100582),x100581))
% 201.98/201.92 [10063]E(f299(a908,f286(a908),f844(f844(f20(a908,f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),a908),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),a908),f844(f10(a904,f916(a904,a904),a908),a325)),f286(a908)))),f844(f844(f10(f916(a908,a904),f916(a908,a904),a908),f844(f10(a904,a904,a908),a321)),f844(f9(a908,a908,a904),f286(a908)))),x100631,x100632),f188(f916(a908,a904)))+P105(f844(f844(f286(a908),x100631),x100632))
% 201.98/201.92 [10064]E(f296(a908,f286(a908),f844(f844(f20(a908,f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),a908),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),a908),f844(f10(a904,f916(a904,a904),a908),a325)),f286(a908)))),f844(f844(f10(f916(a908,a904),f916(a908,a904),a908),f844(f10(a904,a904,a908),a321)),f844(f9(a908,a908,a904),f286(a908)))),x100641,x100642),f188(f916(a908,a904)))+P105(f844(f844(f286(a908),x100641),x100642))
% 201.98/201.92 [10068]E(f299(a908,f286(a908),f844(f844(f20(a908,f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),a908),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),a908),f844(f10(a904,f916(a904,a904),a908),a325)),f286(a908)))),f844(f844(f10(f916(a908,a904),f916(a908,a904),a908),f844(f10(a904,a904,a908),a321)),f844(f9(a908,a908,a904),f286(a908)))),x100681,x100682),f188(f916(a908,a904)))+~P105(f844(f844(f286(a908),x100682),x100681))
% 201.98/201.92 [10070]E(f296(a908,f286(a908),f844(f844(f20(a908,f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),a908),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),a908),f844(f10(a904,f916(a904,a904),a908),a325)),f286(a908)))),f844(f844(f10(f916(a908,a904),f916(a908,a904),a908),f844(f10(a904,a904,a908),a321)),f844(f9(a908,a908,a904),f286(a908)))),x100701,x100702),f188(f916(a908,a904)))+~P105(f844(f844(f286(a908),x100702),x100701))
% 201.98/201.92 [10114]E(f44(a1,f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),x101141),x101141)),a97)),f844(f103(a1),f844(f844(f79(a1),x101142),x101142))),f844(f844(f79(a1),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f44(a1,f844(f103(a1),x101141),f844(f103(a1),x101142)))),f77(a1)))+~P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x101142)))
% 201.98/201.92 [10123]E(f44(a1,f844(f103(a1),f844(f844(f3(a1),f844(f844(f79(a1),x101231),x101231)),a97)),f844(f103(a1),f844(f844(f79(a1),x101232),x101232))),f844(f844(f3(a1),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f44(a1,f844(f844(f79(a1),f844(f103(a1),x101231)),f77(a1)),f844(f103(a1),x101232)))),f77(a1)))+P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x101232)))
% 201.98/201.92 [10177]~P4(x101771)+E(f36(x101771,f844(f261(x101771),f844(f844(f10(f916(x101771,a904),a904,x101771),f87(x101771)),f844(f844(f10(f916(x101771,a904),f916(x101771,a904),x101771),f844(f20(x101771,a904,a904),f844(f844(f10(a904,f916(a904,a904),x101771),a329),f844(f844(f9(x101771,f916(x101771,a904),a904),f328(x101771)),x101772)))),f234(x101771))))),f37(x101771,x101772))
% 201.98/201.92 [10201]~P36(x102011,x102012)+P58(x102011,f844(f844(f9(x102011,f916(f915(x102011,x102011),a904),f916(x102011,a904)),f844(f844(f10(f916(x102011,f916(f916(f915(x102011,x102011),a904),a904)),f916(f916(f915(x102011,x102011),a904),f916(x102011,a904)),x102011),f9(x102011,f916(f915(x102011,x102011),a904),a904)),f844(f844(f10(f916(x102011,f915(x102011,x102011)),f916(x102011,f916(f916(f915(x102011,x102011),a904),a904)),x102011),f844(f10(f915(x102011,x102011),f916(f916(f915(x102011,x102011),a904),a904),x102011),f328(f915(x102011,x102011)))),f251(x102011,x102011)))),x102012))
% 201.98/201.92 [10202]~P7(x102021,f241(f916(x102021,a904)),x102022)+P6(x102021,f844(f844(f9(x102021,f916(f915(x102021,x102021),a904),f916(x102021,a904)),f844(f844(f10(f916(x102021,f916(f916(f915(x102021,x102021),a904),a904)),f916(f916(f915(x102021,x102021),a904),f916(x102021,a904)),x102021),f9(x102021,f916(f915(x102021,x102021),a904),a904)),f844(f844(f10(f916(x102021,f915(x102021,x102021)),f916(x102021,f916(f916(f915(x102021,x102021),a904),a904)),x102021),f844(f10(f915(x102021,x102021),f916(f916(f915(x102021,x102021),a904),a904),x102021),f328(f915(x102021,x102021)))),f251(x102021,x102021)))),x102022))
% 201.98/201.92 [10243]P36(x102431,x102432)+~P58(x102431,f844(f844(f9(x102431,f916(f915(x102431,x102431),a904),f916(x102431,a904)),f844(f844(f10(f916(x102431,f916(f916(f915(x102431,x102431),a904),a904)),f916(f916(f915(x102431,x102431),a904),f916(x102431,a904)),x102431),f9(x102431,f916(f915(x102431,x102431),a904),a904)),f844(f844(f10(f916(x102431,f915(x102431,x102431)),f916(x102431,f916(f916(f915(x102431,x102431),a904),a904)),x102431),f844(f10(f915(x102431,x102431),f916(f916(f915(x102431,x102431),a904),a904),x102431),f328(f915(x102431,x102431)))),f251(x102431,x102431)))),x102432))
% 201.98/201.92 [10244]P7(x102441,f241(f916(x102441,a904)),x102442)+~P6(x102441,f844(f844(f9(x102441,f916(f915(x102441,x102441),a904),f916(x102441,a904)),f844(f844(f10(f916(x102441,f916(f916(f915(x102441,x102441),a904),a904)),f916(f916(f915(x102441,x102441),a904),f916(x102441,a904)),x102441),f9(x102441,f916(f915(x102441,x102441),a904),a904)),f844(f844(f10(f916(x102441,f915(x102441,x102441)),f916(x102441,f916(f916(f915(x102441,x102441),a904),a904)),x102441),f844(f10(f915(x102441,x102441),f916(f916(f915(x102441,x102441),a904),a904),x102441),f328(f915(x102441,x102441)))),f251(x102441,x102441)))),x102442))
% 201.98/201.92 [7421]E(f844(f844(f79(a908),f844(f103(a908),f844(f844(f3(a1),x74211),a97))),x74212),f844(a112,f844(f844(f79(a908),f844(f103(a908),x74211)),x74212)))+P105(f844(a193,f844(f103(a1),x74211)))
% 201.98/201.92 [7855]~P94(x78551)+E(f844(f844(f79(x78551),f844(f844(f79(x78551),f77(x78551)),f844(f103(x78551),x78552))),f844(f103(x78551),x78552)),f844(f103(x78551),f844(f844(f3(a1),f844(f844(f79(a1),x78552),x78552)),a97)))
% 201.98/201.92 [8487]~P105(f844(f844(f234(a1),x84871),x84872))+P105(f844(f844(f234(a1),f844(f844(f79(a1),x84871),x84871)),f844(f844(f3(a1),f844(f844(f79(a1),x84872),x84872)),a97)))
% 201.98/201.92 [8489]~P105(f844(f844(f234(a1),x84891),x84892))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x84891),x84891)),f844(f844(f3(a1),f844(f844(f79(a1),x84892),x84892)),a97)))
% 201.98/201.92 [8915]P105(f844(f844(f234(a1),x89151),x89152))+~P105(f844(f844(f234(a1),f844(f844(f79(a1),x89151),x89151)),f844(f844(f3(a1),f844(f844(f79(a1),x89152),x89152)),a97)))
% 201.98/201.92 [8917]P105(f844(f844(f234(a1),x89171),x89172))+~P105(f844(f844(f235(a1),f844(f844(f79(a1),x89171),x89171)),f844(f844(f3(a1),f844(f844(f79(a1),x89172),x89172)),a97)))
% 201.98/201.92 [9205]~P105(f844(f844(f234(a1),x92051),x92052))+P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),x92051),x92051)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),x92052),x92052)),a97)))
% 201.98/201.92 [9207]~P105(f844(f844(f235(a1),x92071),x92072))+P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x92071),x92071)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),x92072),x92072)),a97)))
% 201.98/201.92 [9473]P105(f844(f844(f234(a1),x94731),x94732))+~P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),x94731),x94731)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),x94732),x94732)),a97)))
% 201.98/201.92 [9475]P105(f844(f844(f235(a1),x94751),x94752))+~P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),x94751),x94751)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),x94752),x94752)),a97)))
% 201.98/201.92 [9508]~P105(f844(f60(x95081),x95082))+P105(f844(f60(f916(x95081,a904)),f844(f261(f916(x95081,a904)),f844(f844(f9(f916(x95081,a904),f916(x95081,a904),a904),f234(f916(x95081,a904))),x95082))))
% 201.98/201.92 [9557]~E(f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),x95571),f188(f916(f915(a908,a908),a904)))),f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),x95572),f188(f916(f915(a908,a908),a904)))))+P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),x95571),x95572)),a108))
% 201.98/201.92 [9643]E(f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),x96431),f188(f916(f915(a908,a908),a904)))),f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),x96432),f188(f916(f915(a908,a908),a904)))))+~P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),x96431),x96432)),a108))
% 201.98/201.92 [9679]P105(f844(f844(f234(a1),f2(a1)),f630(x96791,x96792)))+E(f844(f261(a1),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),x96791)),f844(f261(a1),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),x96792)))
% 201.98/201.92 [10185]~P4(x101851)+E(f37(x101851,f844(f261(x101851),f844(f844(f10(f916(x101851,a904),a904,x101851),f87(x101851)),f844(f844(f10(f916(x101851,a904),f916(x101851,a904),x101851),f844(f20(x101851,a904,a904),f844(f844(f10(a904,f916(a904,a904),x101851),a329),f844(f844(f9(x101851,f916(x101851,a904),a904),f328(x101851)),x101852)))),f844(f9(x101851,x101851,a904),f234(x101851)))))),f36(x101851,x101852))
% 201.98/201.92 [10207]P105(f844(f844(f328(a908),f2(a908)),x102071))+E(f844(f34(a908),f844(f261(a908),f844(f844(f20(a908,a904,a904),f844(f844(f10(a904,f916(a904,a904),a908),a325),f844(f844(f9(a908,f916(a908,a904),a904),f844(f844(f10(a908,f916(f916(a908,a904),a904),a908),f328(a908)),a112)),x102071))),f844(f844(f9(a908,a908,a904),f235(a908)),x102072)))),f844(f34(a908),f844(f261(a908),f844(f844(f20(a908,a904,a904),f844(f844(f10(a904,f916(a904,a904),a908),a325),f844(f844(f9(a908,f916(a908,a904),a904),f328(a908)),x102071))),f844(f844(f9(a908,a908,a904),f235(a908)),f844(a112,x102072))))))
% 201.98/201.92 [7726]~P94(x77261)+E(f844(f844(f80(x77261),x77262),f844(f103(x77261),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),x77262)
% 201.98/201.92 [7982]~P94(x79821)+E(f844(f844(f79(x79821),f844(f103(x79821),x79822)),f77(x79821)),f844(f103(x79821),f844(f844(f79(a1),x79822),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))
% 201.98/201.92 [8125]P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x81252)))+E(f844(f844(f243(a1),x81251),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),x81252),x81252)),a97))),f77(a1))
% 201.98/201.92 [9533]~P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x95332)))+E(f844(f844(f243(a1),x95331),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),x95332),x95332)),a97))),f844(f844(f85(a1,a1),f844(f844(f243(a1),x95331),f844(f103(a908),x95332))),f844(f844(f20(a1,a1,a1),f844(f844(f10(a1,f916(a1,a1),a1),f80(a1)),f844(f80(a1),x95331))),f7(a1))))
% 201.98/201.92 [9901]~P105(f844(f844(f234(a908),f636(x99012,x99011)),f844(x99011,f636(x99012,x99011))))+P105(f844(f60(a908),f844(f261(a908),f844(f844(f9(a908,a908,a904),f844(f844(f10(a908,f916(a908,a904),a908),f234(a908)),x99011)),x99012))))
% 201.98/201.92 [10037]~P105(f844(f844(f234(a908),f844(f103(a908),x100371)),f844(a112,x100372)))+P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x100371),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f9(a1,a908,a904),f844(f844(f10(a908,f916(a908,a904),a1),f234(a908)),a104)),x100372))))
% 201.98/201.92 [10038]~P105(f844(f844(f235(a908),f844(f103(a908),x100381)),f844(a112,x100382)))+P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x100381),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f9(a1,a908,a904),f844(f844(f10(a908,f916(a908,a904),a1),f235(a908)),a104)),x100382))))
% 201.98/201.92 [10098]P105(f844(f844(f234(a908),f844(f103(a908),x100981)),f844(a112,x100982)))+~P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x100981),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f9(a1,a908,a904),f844(f844(f10(a908,f916(a908,a904),a1),f234(a908)),a104)),x100982))))
% 201.98/201.92 [10099]P105(f844(f844(f235(a908),f844(f103(a908),x100991)),f844(a112,x100992)))+~P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x100991),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f9(a1,a908,a904),f844(f844(f10(a908,f916(a908,a904),a1),f235(a908)),a104)),x100992))))
% 201.98/201.92 [10129]~P105(f844(f844(f234(a908),f844(a112,x101292)),f844(f103(a908),x101291)))+P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x101291),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f10(a908,a904,a1),f844(f234(a908),x101292)),a104)))))
% 201.98/201.92 [10130]~P105(f844(f844(f235(a908),f844(a112,x101302)),f844(f103(a908),x101301)))+P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x101301),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f10(a908,a904,a1),f844(f235(a908),x101302)),a104)))))
% 201.98/201.92 [10175]P105(f844(f844(f234(a908),f844(a112,x101751)),f844(f103(a908),x101752)))+~P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x101752),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f10(a908,a904,a1),f844(f234(a908),x101751)),a104)))))
% 201.98/201.92 [10176]P105(f844(f844(f235(a908),f844(a112,x101761)),f844(f103(a908),x101762)))+~P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x101762),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f10(a908,a904,a1),f844(f235(a908),x101761)),a104)))))
% 201.98/201.92 [10253]~P105(f844(f844(f328(a908),f2(a908)),x102531))+E(f844(a112,f844(f34(a908),f844(f261(a908),f844(f844(f20(a908,a904,a904),f844(f844(f10(a904,f916(a904,a904),a908),a325),f844(f844(f9(a908,f916(a908,a904),a904),f844(f844(f10(a908,f916(f916(a908,a904),a904),a908),f328(a908)),a112)),x102531))),f844(f844(f9(a908,a908,a904),f235(a908)),x102532))))),f844(f34(a908),f844(f261(a908),f844(f844(f20(a908,a904,a904),f844(f844(f10(a904,f916(a904,a904),a908),a325),f844(f844(f9(a908,f916(a908,a904),a904),f328(a908)),x102531))),f844(f844(f9(a908,a908,a904),f235(a908)),f844(a112,x102532))))))
% 201.98/201.92 [8657]~P94(x86571)+E(f844(f844(f80(x86571),f844(f103(x86571),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),x86572),x86572)
% 201.98/201.92 [8718]~P94(x87181)+E(f844(f844(f79(x87181),f77(x87181)),f844(f103(x87181),x87182)),f844(f103(x87181),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),x87182)))
% 201.98/201.92 [8780]~P94(x87801)+E(f844(f844(f3(x87801),f844(f103(x87801),x87802)),f77(x87801)),f844(f103(x87801),f844(f844(f79(a1),x87802),f844(f78(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 201.98/201.92 [8934]~P105(f844(f844(f235(a908),f844(f103(a908),a82)),x89342))+E(f844(f844(f3(a908),x89341),f844(f844(f3(a908),x89342),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f844(f3(a908),f844(a112,x89341)),x89342))
% 201.98/201.92 [9575]~P112(x95751)+E(f844(f844(f80(x95751),x95752),x95752),f844(f844(f243(x95751),x95752),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 201.98/201.92 [9576]~P81(x95761)+E(f844(f844(f243(x95761),x95762),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f844(f80(x95761),x95762),x95762))
% 201.98/201.92 [9578]~P94(x95781)+E(f844(f844(f80(x95781),x95782),f844(f103(x95781),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f844(f79(x95781),x95782),x95782))
% 201.98/201.92 [9819]~P118(x98191)+E(f844(f844(f243(x98191),f844(f75(x98191),x98192)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f844(f243(x98191),x98192),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 201.98/201.92 [9820]~P140(x98201)+E(f844(f844(f243(x98201),f844(f78(x98201),x98202)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f844(f243(x98201),x98202),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 201.98/201.92 [9816]~P94(x98161)+E(f844(f844(f80(x98161),f844(f103(x98161),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x98162),f844(f844(f79(x98161),x98162),x98162))
% 201.98/201.92 [9934]~P118(x99341)+E(f844(f75(x99341),f844(f844(f243(x99341),x99342),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x99341),x99342),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 201.98/201.92 [9998]~P118(x99981)+P105(f844(f844(f234(x99981),f2(x99981)),f844(f844(f243(x99981),x99982),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 201.98/201.92 [10166]~E(f844(a112,x101662),f844(f103(a908),x101661))+P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x101661),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f9(a1,a908,a904),f844(f844(f10(a908,f916(a908,a904),a1),a324),a104)),x101662)))))
% 201.98/201.92 [10167]~E(f844(f103(a908),x101671),f844(a112,x101672))+P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x101671),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f9(a1,a908,a904),f844(f844(f10(a908,f916(a908,a904),a1),a324),a104)),x101672)))))
% 201.98/201.92 [10210]E(f844(a112,x102101),f844(f103(a908),x102102))+~P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x102102),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f9(a1,a908,a904),f844(f844(f10(a908,f916(a908,a904),a1),a324),a104)),x102101)))))
% 201.98/201.92 [10211]E(f844(f103(a908),x102111),f844(a112,x102112))+~P105(f844(f844(f85(a1,a904),f844(f103(a1),f844(f844(f79(a1),x102111),a97))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a329),f844(f844(f10(a904,a904,a1),a321),a193))),f844(f844(f9(a1,a908,a904),f844(f844(f10(a908,f916(a908,a904),a1),a324),a104)),x102112)))))
% 201.98/201.92 [10254]~P14(x102541,x102542)+P105(f844(f844(f328(f916(x102541,a904)),f800(x102542,x102541)),f844(f844(f10(f916(x102541,a904),a904,f916(x102541,a904)),f86(x102541)),f844(f844(f10(f916(x102541,a904),f916(x102541,a904),f916(x102541,a904)),f844(f20(x102541,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102541),a325),f844(f844(f20(x102541,x102541,a904),x102542),f7(x102541))))),f844(f844(f9(f916(x102541,a904),f916(x102541,f916(x102541,a904)),f916(x102541,a904)),f844(f844(f10(f916(f916(x102541,a904),a904),f916(f916(x102541,f916(x102541,a904)),f916(x102541,a904)),f916(x102541,a904)),f10(f916(x102541,a904),a904,x102541)),a324)),x102542)))))
% 201.98/201.92 [9996]~P94(x99961)+E(f844(f844(f243(x99961),f844(f103(x99961),a97)),f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x99962)),f77(x99961))
% 201.98/201.92 [9997]~P140(x99971)+E(f844(f844(f243(x99971),f844(f78(x99971),f77(x99971))),f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x99972)),f77(x99971))
% 201.98/201.92 [10000]~P81(x100001)+E(f844(f844(f243(x100001),x100002),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),a97))),f844(f844(f80(x100001),f844(f844(f80(x100001),x100002),x100002)),x100002))
% 201.98/201.92 [10190]~P105(f844(f844(f234(a1),f2(a1)),x101902))+E(f44(a1,f844(f844(f79(a1),f77(a1)),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x101901)),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x101902)),f844(f844(f79(a1),f77(a1)),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f44(a1,x101901,x101902))))
% 201.98/201.92 [10213]~P105(f844(f844(f234(a1),f2(a1)),x102132))+E(f844(f844(f35(a1),f844(f844(f79(a1),f77(a1)),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x102131))),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x102132)),f844(f844(f35(a1),x102131),x102132))
% 201.98/201.92 [10215]~P105(f844(f844(f234(a1),x102152),f2(a1)))+E(f844(f844(f35(a1),f844(f844(f79(a1),f77(a1)),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x102151))),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x102152)),f844(f844(f35(a1),f844(f844(f79(a1),x102151),f77(a1))),x102152))
% 201.98/201.92 [10216]~P105(f844(f844(f234(a1),x102162),f2(a1)))+E(f44(a1,f844(f844(f79(a1),f77(a1)),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x102161)),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x102162)),f844(f844(f3(a1),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f44(a1,f844(f844(f79(a1),x102161),f77(a1)),x102162))),f77(a1)))
% 201.98/201.92 [10089]~P94(x100891)+E(f844(f844(f243(x100891),f844(f103(x100891),a97)),f844(a112,f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100892))),f844(f103(x100891),a97))
% 201.98/201.92 [10091]~P140(x100911)+E(f844(f844(f243(x100911),f844(f78(x100911),f77(x100911))),f844(a112,f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100912))),f844(f78(x100911),f77(x100911)))
% 201.98/201.92 [5065]P37(x50651,x50652)+~P7(x50651,x50653,x50652)
% 201.98/201.92 [5067]P50(x50671,x50672)+~P7(x50671,x50673,x50672)
% 201.98/201.92 [5240]~P7(x52401,x52402,x52403)+P51(x52401,x52402,x52403)
% 201.98/201.92 [8191]~E(x81912,x81913)+P33(x81911,x81911,a324,x81912,x81913)
% 201.98/201.92 [8731]E(x87311,x87312)+~P33(x87313,x87313,a324,x87311,x87312)
% 201.98/201.92 [4869]E(f169(x48691,x48692,x48693),f113(x48691))+~E(x48692,f2(a908))
% 201.98/201.92 [5037]~E(f169(x50372,x50371,x50373),f113(x50372))+E(x50371,f2(a908))
% 201.98/201.92 [5245]~P36(x52451,x52453)+P36(x52451,f320(x52451,x52452,x52453))
% 201.98/201.92 [5355]~P28(x53551,x53552,x53553)+P30(a1,x53551,f178(x53552,x53553))
% 201.98/201.92 [5429]P28(x54291,x54292,x54293)+~P30(a1,x54291,f178(x54292,x54293))
% 201.98/201.92 [5499]~P7(x54991,x54992,x54993)+P7(f909(x54991),f161(x54991,x54992),f158(x54991,x54993))
% 201.98/201.92 [5500]~P51(x55001,x55002,x55003)+P51(f909(x55001),f161(x55001,x55002),f158(x55001,x55003))
% 201.98/201.92 [5612]P53(x56121,x56122,x56123)+~E(f597(x56123,x56122,x56121),f598(x56123,x56122,x56121))
% 201.98/201.92 [5613]P54(x56131,x56132,x56133)+~E(f606(x56133,x56132,x56131),f607(x56133,x56132,x56131))
% 201.98/201.92 [8197]~E(x81972,x81973)+P25(x81971,x81971,f31(x81971),x81972,x81973)
% 201.98/201.92 [8739]E(x87391,x87392)+~P25(x87393,x87393,f31(x87393),x87391,x87392)
% 201.98/201.92 [4824]~E(f844(f168(x48242),x48241),x48243)+E(x48241,f844(f168(x48242),x48243))
% 201.98/201.92 [4825]~E(x48252,f844(f168(x48251),x48253))+E(f844(f168(x48251),x48252),x48253)
% 201.98/201.92 [4875]E(x48751,x48752)+~E(f844(f168(x48753),x48751),f844(f168(x48753),x48752))
% 201.98/201.92 [5091]~P6(x50913,x50911)+P105(f844(f844(x50911,x50912),x50912))
% 201.98/201.92 [5092]~P42(x50923,x50921)+P105(f844(f844(x50921,x50922),x50922))
% 201.98/201.92 [5094]~P58(x50941,x50942)+P105(f844(f314(x50941,x50942),x50943))
% 201.98/201.92 [5160]~P36(x51601,x51602)+P36(f909(x51601),f844(f143(x51601,x51602),x51603))
% 201.98/201.92 [5165]~P105(f844(x51652,x51653))+~E(f844(f261(x51651),x51652),f188(f916(x51651,a904)))
% 201.98/201.92 [5166]~P105(f844(x51662,x51663))+~E(f188(f916(x51661,a904)),f844(f261(x51661),x51662))
% 201.98/201.92 [5178]E(x51781,f2(a908))+E(f144(x51782,f169(x51782,x51781,x51783)),x51783)
% 201.98/201.92 [5197]~P105(f844(x51971,x51973))+P105(f844(x51971,f89(x51972,x51971)))
% 201.98/201.92 [5198]~P105(f844(x51981,x51983))+P105(f844(x51981,f726(x51981,x51982)))
% 201.98/201.92 [5210]E(x52101,f2(a908))+E(f844(f141(x52102),f169(x52102,x52101,x52103)),x52103)
% 201.98/201.92 [5316]~E(x53162,x53163)+P105(f844(f844(f328(x53161),x53162),f844(a324,x53163)))
% 201.98/201.92 [5332]~E(x53322,f2(a908))+E(f844(f172(x53321),f169(x53321,x53322,x53323)),f188(f916(x53321,a904)))
% 201.98/201.92 [5377]E(f844(f168(x53771),x53772),f844(f844(f151(x53771),x53773),f113(x53771)))+~E(x53772,f844(f844(f151(x53771),x53773),f113(x53771)))
% 201.98/201.92 [5378]~E(x53783,f844(f844(f151(x53781),x53782),f113(x53781)))+E(f844(f844(f151(x53781),x53782),f113(x53781)),f844(f168(x53781),x53783))
% 201.98/201.92 [5425]~P32(x54251,x54252,x54253)+P32(x54251,x54252,f844(f168(x54251),x54253))
% 201.98/201.92 [5426]~P30(x54261,x54262,x54263)+P30(x54261,x54262,f844(f168(x54261),x54263))
% 201.98/201.92 [5430]E(f844(f34(x54301),f845(x54302,x54303,x54301)),x54302)+~E(f844(f34(x54301),x54303),f844(a112,x54302))
% 201.98/201.92 [5437]~P36(x54371,x54373)+P105(f844(f844(f328(x54371),x54372),f315(x54371,x54373)))
% 201.98/201.92 [5441]~E(f844(f168(x54412),x54411),f844(f844(f151(x54412),x54413),f113(x54412)))+E(x54411,f844(f844(f151(x54412),x54413),f113(x54412)))
% 201.98/201.92 [5442]~E(f844(f844(f151(x54422),x54423),f113(x54422)),f844(f168(x54422),x54421))+E(x54421,f844(f844(f151(x54422),x54423),f113(x54422)))
% 201.98/201.92 [5465]E(f84(f915(a908,a908),f47(x54651,x54652)),x54653)+~P105(f844(f47(x54651,x54652),x54653))
% 201.98/201.92 [5503]P32(x55031,x55032,x55033)+~P32(x55031,x55032,f844(f168(x55031),x55033))
% 201.98/201.92 [5504]P30(x55041,x55042,x55043)+~P30(x55041,x55042,f844(f168(x55041),x55043))
% 201.98/201.92 [5542]P105(f844(f844(x55421,x55422),x55422))+~P105(f844(f269(x55423,x55421),x55422))
% 201.98/201.92 [5543]~P105(f844(f844(x55432,x55433),x55433))+P105(f844(f269(x55431,x55432),x55433))
% 201.98/201.92 [5565]~E(x55652,f113(x55651))+P105(f844(f844(f328(f909(x55651)),x55652),f161(x55651,x55653)))
% 201.98/201.92 [5575]~P51(x55751,x55752,x55753)+P51(x55751,x55752,f844(f285(x55751,x55751),x55753))
% 201.98/201.92 [5576]~P54(x55761,x55762,x55763)+P54(x55761,x55762,f844(f285(x55761,x55761),x55763))
% 201.98/201.92 [5593]~P59(x55931)+E(f44(x55931,f44(x55931,x55932,x55933),x55933),f44(x55931,x55932,x55933))
% 201.98/201.92 [5695]E(x56951,x56952)+~P105(f844(f844(f328(x56953),x56951),f844(a324,x56952)))
% 201.98/201.92 [5742]~P143(x57421)+E(f190(x57421,x57422,f2(a908),x57423),x57423)
% 201.98/201.92 [5764]P51(x57641,x57642,x57643)+~P51(x57641,x57642,f844(f285(x57641,x57641),x57643))
% 201.98/201.92 [5765]P54(x57651,x57652,x57653)+~P54(x57651,x57652,f844(f285(x57651,x57651),x57653))
% 201.98/201.92 [5769]~P108(x57692)+E(f150(x57691,x57692,x57693,f113(x57691)),f113(x57691))
% 201.98/201.92 [5781]E(f170(x57811,x57812,f152(x57811,x57813)),f152(x57811,f170(x57811,x57812,x57813)))+~P105(f844(f137(x57811),x57813))
% 201.98/201.92 [5880]~P105(f844(f844(x58803,x58802),x58802))+P105(f844(f844(f328(x58801),x58802),f269(x58801,x58803)))
% 201.98/201.92 [5882]E(f844(f136(x58821,x58822),x58823),f113(x58821))+P105(f844(x58822,f660(x58823,x58822,x58821)))
% 201.98/201.92 [5950]E(f67(x59501,x59502,x59503),x59502)+P105(f844(x59503,f727(x59502,x59501,x59503)))
% 201.98/201.92 [6042]~P105(f844(f137(x60421),x60422))+P105(f844(f137(x60421),f176(x60421,x60422,x60423)))
% 201.98/201.92 [6043]~P105(f844(f137(x60431),x60433))+P105(f844(f137(x60431),f170(x60431,x60432,x60433)))
% 201.98/201.92 [6044]~P105(f844(f137(x60441),x60443))+P105(f844(f137(x60441),f177(x60441,x60442,x60443)))
% 201.98/201.92 [6045]~P105(f844(f137(x60451),x60453))+P105(f844(f137(x60451),f140(x60451,x60452,x60453)))
% 201.98/201.92 [6046]~P145(x60461,x60463,x60462)+P105(f844(x60461,f44(a1,x60462,x60463)))
% 201.98/201.92 [6062]~P32(x60623,x60621,x60622)+P105(f844(x60621,f744(x60622,x60621,x60623)))
% 201.98/201.92 [6063]~P34(x60633,x60631,x60632)+P105(f844(x60631,f746(x60632,x60631,x60633)))
% 201.98/201.92 [6064]~P34(x60643,x60641,x60642)+P105(f844(x60641,f756(x60642,x60641,x60643)))
% 201.98/201.92 [6065]~P32(x60653,x60651,x60652)+P105(f844(x60651,f770(x60652,x60651,x60653)))
% 201.98/201.92 [6066]~P32(x60663,x60661,x60662)+P105(f844(x60661,f779(x60661,x60662,x60663)))
% 201.98/201.92 [6070]P105(f844(f844(x60701,x60702),x60702))+~P105(f844(f844(f328(x60703),x60702),f269(x60703,x60701)))
% 201.98/201.92 [6085]E(f844(f136(x60851,x60852),x60853),f177(x60851,x60852,x60853))+P105(f844(x60852,f711(x60853,x60852,x60851)))
% 201.98/201.92 [6125]~P105(f844(f137(x61251),x61253))+P105(f844(f137(f909(x61251)),f54(x61251,x61252,x61253)))
% 201.98/201.92 [6160]~P109(x61601)+E(f844(f844(f101(f916(x61601,a904)),f844(f281(x61601),x61602)),f302(x61601,x61602,x61603)),f188(f916(x61601,a904)))
% 201.98/201.92 [6161]~P109(x61611)+E(f844(f844(f101(f916(x61611,a904)),f844(f300(x61611),x61612)),f305(x61611,x61612,x61613)),f188(f916(x61611,a904)))
% 201.98/201.92 [6162]~P109(x61621)+E(f844(f844(f101(f916(x61621,a904)),f844(f300(x61621),x61622)),f304(x61621,x61622,x61623)),f188(f916(x61621,a904)))
% 201.98/201.92 [6394]E(f844(f136(x63941,x63942),x63943),x63943)+~P105(f844(x63942,f661(x63943,x63942,x63941)))
% 201.98/201.92 [6396]E(f844(f844(f308(x63961),f867(x63962,x63963,x63961)),f845(x63962,x63963,x63961)),x63963)+~E(f844(f34(x63961),x63963),f844(a112,x63962))
% 201.98/201.92 [6412]P145(x64121,x64122,x64123)+~P105(f844(x64121,f44(a1,x64123,x64122)))
% 201.98/201.92 [6463]P30(x64631,x64632,x64633)+~P105(f844(x64632,f747(x64633,x64632,x64631)))
% 201.98/201.92 [6464]P30(x64641,x64642,x64643)+~P105(f844(x64642,f753(x64642,x64643,x64641)))
% 201.98/201.92 [6465]P30(x64651,x64652,x64653)+~P105(f844(x64652,f754(x64653,x64652,x64651)))
% 201.98/201.92 [6466]P28(x64661,x64662,x64663)+~P105(f844(x64661,f771(x64663,x64662,x64661)))
% 201.98/201.92 [6467]P29(x64671,x64672,x64673)+~P105(f844(x64671,f815(x64673,x64672,x64671)))
% 201.98/201.92 [6469]E(f177(x64691,x64692,x64693),x64693)+~P105(f844(x64692,f706(x64693,x64692,x64691)))
% 201.98/201.92 [6549]~P105(f844(x65492,f561(x65493,x65492,x65491)))+P105(f844(f247(x65491,x65492),x65493))
% 201.98/201.92 [6550]~P105(f844(x65502,f662(x65503,x65502,x65501)))+P105(f844(f160(x65501,x65502),x65503))
% 201.98/201.92 [6804]~P105(f844(f314(x68041,x68042),f375(x68043,x68042,x68041)))+P105(f844(f314(x68041,x68042),x68043))
% 201.98/201.92 [6805]~P105(f844(f314(x68051,x68052),f382(x68053,x68052,x68051)))+P105(f844(f314(x68051,x68052),x68053))
% 201.98/201.92 [7422]~P59(x74221)+E(f844(f844(f79(x74221),f844(f844(f80(x74221),x74222),f844(f844(f35(x74221),x74223),x74222))),f44(x74221,x74223,x74222)),x74223)
% 201.98/201.92 [7451]P28(x74511,x74512,x74513)+P105(f844(f844(f328(a1),f771(x74513,x74512,x74511)),f302(a1,x74512,x74513)))
% 201.98/201.92 [7876]E(f844(f844(f251(x78761,x78761),f469(x78762,x78763,x78761)),f469(x78762,x78763,x78761)),x78763)+~P105(f844(f844(f328(f915(x78761,x78761)),x78763),f262(x78761,x78762)))
% 201.98/201.92 [7990]~P105(f844(f844(f328(x79901),f514(x79903,x79902,x79901)),f315(x79901,x79903)))+P105(f844(f844(f328(x79901),x79902),f315(x79901,x79903)))
% 201.98/201.92 [7991]~P105(f844(f844(f328(x79911),f587(x79913,x79912,x79911)),f315(x79911,x79913)))+P105(f844(f844(f328(x79911),x79912),f315(x79911,x79913)))
% 201.98/201.92 [7992]~P105(f844(f844(f328(x79921),f590(x79923,x79922,x79921)),f315(x79921,x79923)))+P105(f844(f844(f328(x79921),x79922),f315(x79921,x79923)))
% 201.98/201.92 [8084]P32(a1,x80841,f178(x80842,x80843))+P28(f844(f72(a904,a904,a1,a321),x80841),x80842,x80843)
% 201.98/201.92 [8172]~P59(x81721)+E(f844(f844(f79(x81721),f844(f844(f80(x81721),f844(f844(f35(x81721),x81722),x81723)),x81723)),f44(x81721,x81722,x81723)),x81722)
% 201.98/201.92 [8218]~E(f844(f34(x82181),x82182),f844(a112,x82183))+~P105(f844(f844(f328(x82181),f867(x82183,x82182,x82181)),f845(x82183,x82182,x82181)))
% 201.98/201.92 [8649]~P32(a1,x86491,f178(x86492,x86493))+~P28(f844(f72(a904,a904,a1,a321),x86491),x86492,x86493)
% 201.98/201.92 [8836]P105(f844(f844(f234(f916(f915(x88361,x88361),a904)),f306(x88361,x88362)),f306(x88361,x88363)))+~P105(f844(f844(f234(f916(f915(x88361,x88361),a904)),x88362),f306(x88361,x88363)))
% 201.98/201.92 [9116]E(x91161,f113(x91162))+~P105(f844(f844(f328(f915(f909(x91162),f909(x91162))),f844(f844(f251(f909(x91162),f909(x91162)),x91161),f113(x91162))),f158(x91162,x91163)))
% 201.98/201.92 [9140]E(x91401,f113(x91402))+~P105(f844(f844(f328(f915(f909(x91402),f909(x91402))),f844(f844(f251(f909(x91402),f909(x91402)),f113(x91402)),x91401)),f158(x91402,x91403)))
% 201.98/201.92 [9265]E(f844(f844(f151(x92651),f680(x92652,x92653,x92651)),f681(x92652,x92653,x92651)),x92653)+~P105(f844(f844(f328(f915(f909(x92651),f909(x92651))),f844(f844(f251(f909(x92651),f909(x92651)),f113(x92651)),x92653)),f147(x92651,x92652)))
% 201.98/201.92 [9501]~P126(x95011)+~P105(f844(f844(f235(x95011),f844(f844(f79(x95011),f844(f844(f80(x95011),x95012),x95012)),f844(f844(f80(x95011),x95013),x95013))),f2(x95011)))
% 201.98/201.92 [9550]P105(f844(f60(x95501),x95502))+~P105(f844(f844(f328(f915(f916(x95501,a904),f916(x95501,a904))),f844(f844(f251(f916(x95501,a904),f916(x95501,a904)),x95503),x95502)),f313(x95501)))
% 201.98/201.92 [9845]~P46(x98451,x98452,x98453)+P105(f844(f844(f234(a1),f844(f844(f72(f915(a1,a1),a1,x98451,f250(a1,a1)),f212(x98451)),f230(x98451,x98452,f227(x98451,x98453)))),f2(a1)))
% 201.98/201.92 [9846]~P47(x98461,x98462,x98463)+P105(f844(f844(f235(a1),f844(f844(f72(f915(a1,a1),a1,x98461,f250(a1,a1)),f212(x98461)),f230(x98461,x98462,f227(x98461,x98463)))),f2(a1)))
% 201.98/201.92 [9964]P47(x99641,x99642,x99643)+~P105(f844(f844(f235(a1),f844(f844(f72(f915(a1,a1),a1,x99641,f250(a1,a1)),f212(x99641)),f230(x99641,x99642,f227(x99641,x99643)))),f2(a1)))
% 201.98/201.92 [9965]P46(x99651,x99652,x99653)+~P105(f844(f844(f234(a1),f844(f844(f72(f915(a1,a1),a1,x99651,f250(a1,a1)),f212(x99651)),f230(x99651,x99652,f227(x99651,x99653)))),f2(a1)))
% 201.98/201.92 [10312]~P118(x103121)+~P105(f844(f844(f235(x103121),f844(f844(f79(x103121),f844(f844(f243(x103121),x103122),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x103121),x103123),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))),f2(x103121)))
% 201.98/201.92 [4854]~E(x48543,f113(x48541))+E(f844(f844(f134(x48541),x48542),x48543),x48542)
% 201.98/201.92 [4855]~E(x48552,f113(x48551))+E(f844(f844(f134(x48551),x48552),x48553),x48553)
% 201.98/201.92 [4861]~E(x48612,f2(a908))+E(f844(f844(f175(x48611),x48612),x48613),f113(x48611))
% 201.98/201.92 [4870]~E(x48703,f113(x48701))+E(f844(f844(f175(x48701),x48702),x48703),f113(x48701))
% 201.98/201.92 [4909]~E(x49091,x49093)+E(x49091,f844(f844(f134(x49092),f113(x49092)),x49093))
% 201.98/201.92 [5000]~P1(x50002)+E(f844(f188(f916(x50001,x50002)),x50003),f188(x50002))
% 201.98/201.92 [5001]~P116(x50012)+E(f844(f241(f916(x50011,x50012)),x50013),f241(x50012))
% 201.98/201.92 [5019]E(x50191,f113(x50192))+~E(f844(f844(f134(x50192),x50193),x50191),x50193)
% 201.98/201.92 [5020]E(x50201,f113(x50202))+~E(f844(f844(f134(x50202),x50201),x50203),x50203)
% 201.98/201.92 [5028]E(x50281,f113(x50282))+~E(f844(f844(f134(x50282),x50283),x50281),f113(x50282))
% 201.98/201.92 [5029]E(x50291,f113(x50292))+~E(f844(f844(f134(x50292),x50291),x50293),f113(x50292))
% 201.98/201.92 [5058]~E(x50582,f2(a908))+E(f844(f844(f80(a908),x50581),x50582),f844(f844(f80(a908),x50583),x50582))
% 201.98/201.92 [5060]~E(x50601,f2(a908))+E(f844(f844(f80(a908),x50601),x50602),f844(f844(f80(a908),x50601),x50603))
% 201.98/201.92 [5118]~P77(x51181)+E(f844(f844(f110(x51181),x51182),x51183),f844(f844(f110(x51181),x51183),x51182))
% 201.98/201.92 [5120]~P100(x51201)+E(f844(f844(f110(x51201),x51202),x51203),f844(f844(f110(x51201),x51203),x51202))
% 201.98/201.92 [5121]~P112(x51211)+E(f844(f844(f80(x51211),x51212),x51213),f844(f844(f80(x51211),x51213),x51212))
% 201.98/201.92 [5122]~P77(x51221)+E(f844(f844(f101(x51221),x51222),x51223),f844(f844(f101(x51221),x51223),x51222))
% 201.98/201.92 [5124]~P101(x51241)+E(f844(f844(f101(x51241),x51242),x51243),f844(f844(f101(x51241),x51243),x51242))
% 201.98/201.92 [5125]~P112(x51251)+E(f844(f844(f79(x51251),x51252),x51253),f844(f844(f79(x51251),x51253),x51252))
% 201.98/201.92 [5127]~P108(x51271)+E(f844(f844(f232(x51271),x51272),x51273),f844(f844(f232(x51271),x51273),x51272))
% 201.98/201.92 [5129]~P108(x51291)+E(f844(f844(f233(x51291),x51292),x51293),f844(f844(f233(x51291),x51293),x51292))
% 201.98/201.92 [5192]E(f44(a908,x51921,x51922),f2(a908))+~E(x51921,f844(f844(f80(a908),x51922),x51923))
% 201.98/201.92 [5193]E(f44(a1,x51931,x51932),f2(a1))+~E(x51931,f844(f844(f80(a1),x51932),x51933))
% 201.98/201.92 [5257]E(x52571,x52572)+~E(f844(f844(f79(a908),x52573),x52571),f844(f844(f79(a908),x52573),x52572))
% 201.98/201.92 [5258]E(x52581,x52582)+~E(f844(f844(f79(a908),x52581),x52583),f844(f844(f79(a908),x52582),x52583))
% 201.98/201.92 [5268]~P95(x52681)+E(f844(f844(f101(x52681),x52682),f844(f78(x52681),x52683)),f844(f844(f3(x52681),x52682),x52683))
% 201.98/201.92 [5269]~P66(x52691)+E(f844(f844(f79(x52691),x52692),f844(f78(x52691),x52693)),f844(f844(f3(x52691),x52692),x52693))
% 201.98/201.92 [5270]~P73(x52701)+E(f844(f844(f79(x52701),x52702),f844(f78(x52701),x52703)),f844(f844(f3(x52701),x52702),x52703))
% 201.98/201.92 [5271]~P114(x52711)+E(f844(f844(f79(x52711),x52712),f844(f78(x52711),x52713)),f844(f844(f3(x52711),x52712),x52713))
% 201.98/201.92 [5272]~P73(x52721)+E(f844(f844(f3(x52721),x52722),f844(f78(x52721),x52723)),f844(f844(f79(x52721),x52722),x52723))
% 201.98/201.92 [5310]~P105(f844(x53103,x53102))+P105(f844(f844(f328(x53101),x53102),x53103))
% 201.98/201.92 [5312]~P69(x53122)+E(f844(f844(f8(x53121,x53122),x53123),f188(f916(x53121,a904))),f2(x53122))
% 201.98/201.92 [5314]~P74(x53142)+E(f844(f844(f11(x53141,x53142),x53143),f188(f916(x53141,a904))),f77(x53142))
% 201.98/201.92 [5367]~E(x53672,f844(f844(f79(a908),x53671),x53673))+P105(f844(f844(f234(a908),x53671),x53672))
% 201.98/201.92 [5370]~E(x53702,f188(f916(x53701,a904)))+E(f844(f844(f59(x53701),x53702),x53703),f188(f916(f916(x53701,a904),a904)))
% 201.98/201.92 [5371]~E(x53712,f188(f916(x53711,a904)))+E(f188(f916(f916(x53711,a904),a904)),f844(f844(f59(x53711),x53712),x53713))
% 201.98/201.92 [5445]~E(f844(f283(x54452,x54453),x54451),f188(f916(x54453,a904)))+E(x54451,f188(f916(f915(x54452,x54453),a904)))
% 201.98/201.92 [5446]~E(f844(f263(x54462,x54463),x54461),f188(f916(x54462,a904)))+E(x54461,f188(f916(f915(x54462,x54463),a904)))
% 201.98/201.92 [5478]E(f844(f283(x54781,x54782),x54783),f188(f916(x54782,a904)))+~E(x54783,f188(f916(f915(x54781,x54782),a904)))
% 201.98/201.92 [5479]E(f844(f263(x54791,x54792),x54793),f188(f916(x54791,a904)))+~E(x54793,f188(f916(f915(x54791,x54792),a904)))
% 201.98/201.92 [5482]E(f273(x54821,x54822,x54823),f844(f844(f3(a99),x54822),x54823))+P105(f844(f844(f235(a99),x54822),x54823))
% 201.98/201.92 [5497]P105(f844(x54971,x54972))+~P105(f844(f844(f328(x54973),x54972),x54971))
% 201.98/201.92 [5535]E(x55351,x55352)+~E(f844(f78(f916(x55353,a904)),x55351),f844(f78(f916(x55353,a904)),x55352))
% 201.98/201.92 [5546]~E(x55461,f188(f916(x55462,a904)))+~P105(f844(f844(f328(x55462),x55463),x55461))
% 201.98/201.92 [5577]~E(x55772,f844(f844(f79(a1),x55771),f844(f100(a1),x55773)))+P105(f844(f844(f234(a1),x55771),x55772))
% 201.98/201.92 [5591]E(f844(f844(f308(x55911),x55912),x55913),x55913)+~P105(f844(f844(f328(x55911),x55912),x55913))
% 201.98/201.92 [5602]E(x56021,f188(f916(x56022,a904)))+~E(f844(f844(f59(x56022),x56021),x56023),f188(f916(f916(x56022,a904),a904)))
% 201.98/201.92 [5603]E(x56031,f188(f916(x56032,a904)))+~E(f188(f916(f916(x56032,a904),a904)),f844(f844(f59(x56032),x56031),x56033))
% 201.98/201.92 [5610]~P110(x56101)+E(f844(f844(f80(x56101),f844(f78(x56101),x56102)),f844(f78(x56101),x56103)),f844(f844(f80(x56101),x56102),x56103))
% 201.98/201.92 [5611]~P62(x56111)+E(f844(f844(f290(x56111),f844(f78(x56111),x56112)),f844(f78(x56111),x56113)),f844(f844(f290(x56111),x56112),x56113))
% 201.98/201.92 [5643]~P105(f844(x56433,x56432))+P105(f844(f844(f328(x56431),x56432),f844(f261(x56431),x56433)))
% 201.98/201.92 [5668]E(x56681,f2(a908))+E(f844(f172(x56682),f169(x56682,x56681,x56683)),f844(f844(f308(x56682),x56683),f188(f916(x56682,a904))))
% 201.98/201.92 [5688]E(f170(x56881,x56882,x56883),x56883)+P105(f844(f844(f328(x56881),x56882),f844(f172(x56881),x56883)))
% 201.98/201.92 [5773]~P105(f844(f137(x57731),x57733))+P105(f844(f137(x57731),f844(f136(x57731,x57732),x57733)))
% 201.98/201.92 [5816]~P59(x58161)+E(f844(f844(f35(x58161),f44(x58161,x58162,x58163)),x58163),f2(x58161))
% 201.98/201.92 [5835]E(f176(x58351,f844(f844(f151(x58351),x58352),f113(x58351)),x58353),f113(x58351))+P105(f844(f844(f328(a908),f2(a908)),x58353))
% 201.98/201.92 [5841]E(x58411,f2(a908))+E(f844(f171(x58412),f169(x58412,x58411,x58413)),f169(x58412,f844(f844(f3(a908),x58411),f77(a908)),x58413))
% 201.98/201.92 [5892]E(f844(f844(f151(x58921),x58922),x58923),f140(x58921,x58922,x58923))+P105(f844(f844(f328(x58921),x58922),f844(f172(x58921),x58923)))
% 201.98/201.92 [5901]E(x59011,x59012)+~E(f844(f844(f80(a908),f844(a112,x59013)),x59011),f844(f844(f80(a908),f844(a112,x59013)),x59012))
% 201.98/201.92 [5902]~E(x59022,f844(f844(f79(a1),x59021),f844(f100(a1),f844(a112,x59023))))+P105(f844(f844(f235(a1),x59021),x59022))
% 201.98/201.92 [5972]~P29(x59721,x59722,x59723)+P30(a908,x59721,f139(a908,f844(f301(a908,x59722),x59723)))
% 201.98/201.92 [6023]~E(x60233,f113(x60231))+E(f844(f844(f844(f183(f909(x60231),f909(x60231)),x60232),f167(x60231)),x60233),f113(x60231))
% 201.98/201.92 [6027]P105(f844(x60271,x60272))+~P105(f844(f844(f328(x60273),x60272),f844(f261(x60273),x60271)))
% 201.98/201.92 [6057]E(x60571,x60572)+~E(f844(f844(f308(x60573),x60571),f188(f916(x60573,a904))),f844(f844(f308(x60573),x60572),f188(f916(x60573,a904))))
% 201.98/201.92 [6072]~P109(x60721)+E(f844(f844(f101(f916(x60721,a904)),f844(f281(x60721),x60722)),f844(f301(x60721,x60722),x60723)),f188(f916(x60721,a904)))
% 201.98/201.92 [6111]E(f140(x61111,x61112,x61113),x61113)+~P105(f844(f844(f328(x61111),x61112),f844(f172(x61111),x61113)))
% 201.98/201.92 [6133]~P79(x61331)+E(f844(f309(x61331,x61331,f78(x61331)),f844(f301(x61331,x61332),x61333)),f304(x61331,f844(f78(x61331),x61333),f844(f78(x61331),x61332)))
% 201.98/201.92 [6144]E(f844(f189(f909(x61441)),f170(x61441,x61442,x61443)),f844(f189(f909(x61441)),x61443))+P105(f844(f844(f328(x61441),x61442),f844(f172(x61441),x61443)))
% 201.98/201.92 [6198]~P109(x61981)+E(f844(f844(f101(f916(x61981,a904)),f844(f301(x61981,x61982),x61983)),f844(f282(x61981),x61983)),f188(f916(x61981,a904)))
% 201.98/201.92 [6218]~P79(x62181)+E(f844(f309(x62181,x62181,f78(x62181)),f302(x62181,x62182,x62183)),f302(x62181,f844(f78(x62181),x62183),f844(f78(x62181),x62182)))
% 201.98/201.92 [6219]~P79(x62191)+E(f844(f309(x62191,x62191,f78(x62191)),f305(x62191,x62192,x62193)),f305(x62191,f844(f78(x62191),x62193),f844(f78(x62191),x62192)))
% 201.98/201.92 [6285]E(f176(x62851,f844(f844(f151(x62851),x62852),f113(x62851)),x62853),f844(f844(f151(x62851),x62852),f113(x62851)))+~P105(f844(f844(f328(a908),f2(a908)),x62853))
% 201.98/201.92 [6290]P29(x62901,x62902,x62903)+~P30(a908,x62901,f139(a908,f844(f301(a908,x62902),x62903)))
% 201.98/201.92 [6293]~P79(x62931)+E(f844(f309(x62931,x62931,f78(x62931)),f304(x62931,x62932,x62933)),f844(f301(x62931,f844(f78(x62931),x62933)),f844(f78(x62931),x62932)))
% 201.98/201.92 [6314]~P60(x63141)+E(f44(x63141,f844(f78(x63141),f44(x63141,x63142,x63143)),x63143),f44(x63141,f844(f78(x63141),x63142),x63143))
% 201.98/201.92 [6410]~P105(f844(f60(f915(x64102,x64101)),x64103))+P105(f844(f60(x64101),f844(f283(x64102,x64101),x64103)))
% 201.98/201.92 [6411]~P105(f844(f60(f915(x64111,x64112)),x64113))+P105(f844(f60(x64111),f844(f263(x64111,x64112),x64113)))
% 201.98/201.92 [6416]~P109(x64161)+E(f844(f844(f101(f916(x64161,a904)),f302(x64161,x64162,x64163)),f844(f303(x64161),x64163)),f188(f916(x64161,a904)))
% 201.98/201.92 [6417]~P109(x64171)+E(f844(f844(f101(f916(x64171,a904)),f305(x64171,x64172,x64173)),f844(f282(x64171),x64173)),f188(f916(x64171,a904)))
% 201.98/201.92 [6418]~P109(x64181)+E(f844(f844(f101(f916(x64181,a904)),f304(x64181,x64182,x64183)),f844(f303(x64181),x64183)),f188(f916(x64181,a904)))
% 201.98/201.92 [6490]E(f844(f844(f164(x64901),x64902),f609(x64902,x64903,x64901)),x64903)+~P105(f844(f844(f328(x64901),x64903),f844(f172(x64901),x64902)))
% 201.98/201.92 [6633]E(x66331,f113(x66332))+~E(f844(f844(f844(f183(f909(x66332),f909(x66332)),x66333),f167(x66332)),x66331),f113(x66332))
% 201.98/201.92 [6739]~P105(f844(f60(f915(x67392,x67391)),x67393))+P105(f844(f60(f915(x67391,x67392)),f844(f285(x67392,x67391),x67393)))
% 201.98/201.92 [6762]E(x67621,x67622)+~E(f289(a908,f286(a908),x67623,x67621),f844(f844(f308(a908),x67622),f188(f916(a908,a904))))
% 201.98/201.92 [6763]E(x67631,x67632)+~E(f289(a908,f286(a908),x67631,x67632),f844(f844(f308(a908),x67633),f188(f916(a908,a904))))
% 201.98/201.92 [6896]P54(x68961,x68962,x68963)+P105(f844(f844(f328(x68961),f607(x68963,x68962,x68961)),x68962))
% 201.98/201.92 [6897]P54(x68971,x68972,x68973)+P105(f844(f844(f328(x68971),f606(x68973,x68972,x68971)),x68972))
% 201.98/201.92 [6907]P105(f844(f314(x69071,x69072),x69073))+P105(f844(f844(x69072,f375(x69073,x69072,x69071)),x69073))
% 201.98/201.92 [6908]P105(f844(f314(x69081,x69082),x69083))+P105(f844(f844(x69082,f382(x69083,x69082,x69081)),x69083))
% 201.98/201.92 [6939]E(f844(f189(f909(x69391)),f170(x69391,x69392,x69393)),f844(f844(f3(a908),f844(f189(f909(x69391)),x69393)),f77(a908)))+~P105(f844(f844(f328(x69391),x69392),f844(f172(x69391),x69393)))
% 201.98/201.92 [6978]P105(f844(f247(x69781,x69782),x69783))+P105(f844(f844(f328(x69781),f561(x69783,x69782,x69781)),x69783))
% 201.98/201.92 [6987]~P105(f844(f60(f915(x69872,x69871)),f844(f285(x69871,x69872),x69873)))+P105(f844(f60(f915(x69871,x69872)),x69873))
% 201.98/201.92 [7042]~P105(f844(f844(f328(x70421),x70422),f844(f172(x70421),f114(x70421,x70423))))+P105(f844(f844(f328(x70421),x70422),f844(f172(x70421),x70423)))
% 201.98/201.92 [7076]E(f844(f136(x70761,x70762),x70763),x70763)+P105(f844(f844(f328(x70761),f661(x70763,x70762,x70761)),f844(f172(x70761),x70763)))
% 201.98/201.92 [7092]E(f844(f136(x70921,x70922),x70923),f113(x70921))+P105(f844(f844(f328(x70921),f660(x70923,x70922,x70921)),f844(f172(x70921),x70923)))
% 201.98/201.92 [7118]P30(x71181,x71182,x71183)+P105(f844(f844(f328(x71181),f747(x71183,x71182,x71181)),f844(f172(x71181),x71183)))
% 201.98/201.92 [7119]P30(x71191,x71192,x71193)+P105(f844(f844(f328(x71191),f754(x71193,x71192,x71191)),f844(f172(x71191),x71193)))
% 201.98/201.92 [7120]P30(x71201,x71202,x71203)+P105(f844(f844(f328(x71201),f753(x71202,x71203,x71201)),f844(f172(x71201),x71203)))
% 201.98/201.92 [7123]E(f177(x71231,x71232,x71233),x71233)+P105(f844(f844(f328(x71231),f706(x71233,x71232,x71231)),f844(f172(x71231),x71233)))
% 201.98/201.92 [7199]P105(f844(f160(x71991,x71992),x71993))+P105(f844(f844(f328(x71991),f662(x71993,x71992,x71991)),f844(f172(x71991),x71993)))
% 201.98/201.92 [7208]~P32(x72081,x72083,x72082)+P105(f844(f844(f328(x72081),f744(x72082,x72083,x72081)),f844(f172(x72081),x72082)))
% 201.98/201.92 [7209]~P34(x72091,x72093,x72092)+P105(f844(f844(f328(x72091),f746(x72092,x72093,x72091)),f844(f172(x72091),x72092)))
% 201.98/201.92 [7210]~P34(x72101,x72103,x72102)+P105(f844(f844(f328(x72101),f756(x72102,x72103,x72101)),f844(f172(x72101),x72102)))
% 201.98/201.92 [7211]~P32(x72111,x72113,x72112)+P105(f844(f844(f328(x72111),f770(x72112,x72113,x72111)),f844(f172(x72111),x72112)))
% 201.98/201.92 [7212]~P32(x72121,x72122,x72123)+P105(f844(f844(f328(x72121),f779(x72122,x72123,x72121)),f844(f172(x72121),x72123)))
% 201.98/201.92 [7246]P105(f844(f844(f328(x72461),x72462),f890(x72463,x72462,x72461)))+~P105(f844(f844(f328(x72461),x72462),f36(f916(x72461,a904),x72463)))
% 201.98/201.92 [7247]~P69(x72471)+E(f844(f844(f79(x72471),f844(f844(f8(a908,x72471),x72472),f844(f281(a908),x72473))),f844(x72472,x72473)),f844(f844(f8(a908,x72471),x72472),f844(f281(a908),f844(a112,x72473))))
% 201.98/201.92 [7259]P29(x72591,x72592,x72593)+P105(f844(f844(f328(a908),f815(x72593,x72592,x72591)),f844(f301(a908,x72592),x72593)))
% 201.98/201.92 [7337]~P32(x73372,x73371,x73373)+P105(f844(x73371,f844(f844(f164(x73372),x73373),f742(x73373,x73371,x73372))))
% 201.98/201.92 [7349]~P105(f844(f844(f328(x73491),x73492),f377(x73492,x73493,x73491)))+P105(f844(f844(f328(x73491),x73492),f37(f916(x73491,a904),x73493)))
% 201.98/201.92 [7382]~P69(x73821)+E(f844(f844(f79(x73821),f844(f844(f8(a908,x73821),x73822),f844(f300(a908),x73823))),f844(x73822,f844(a112,x73823))),f844(f844(f8(a908,x73821),x73822),f844(f300(a908),f844(a112,x73823))))
% 201.98/201.92 [7524]P105(f844(f844(f328(f909(x75241)),x75242),f161(x75241,x75243)))+P105(f844(f844(f328(x75241),f647(x75243,x75242,x75241)),f844(f172(x75241),x75242)))
% 201.98/201.92 [7538]~P105(f844(f844(f328(f909(x75381)),x75382),f161(x75381,f315(x75381,x75383))))+P105(f844(f844(f328(f909(x75381)),x75382),f315(f909(x75381),f157(x75381,x75383))))
% 201.98/201.92 [7564]~P105(f844(f844(f328(f909(x75641)),x75642),f315(f909(x75641),f157(x75641,x75643))))+P105(f844(f844(f328(f909(x75641)),x75642),f161(x75641,f315(x75641,x75643))))
% 201.98/201.92 [7597]E(f844(f844(f844(f183(f909(x75971),f909(x75971)),x75972),f167(x75971)),x75973),x75973)+~P105(f844(f844(f234(a908),f844(f189(f909(x75971)),x75973)),f77(a908)))
% 201.98/201.92 [7630]E(f844(f844(f134(x76301),f743(x76302,x76303,x76301)),f844(f844(f151(x76301),x76303),f745(x76302,x76303,x76301))),x76302)+~P105(f844(f844(f328(x76301),x76303),f844(f172(x76301),x76302)))
% 201.98/201.92 [7631]E(f844(f844(f134(x76311),f749(x76312,x76313,x76311)),f844(f844(f151(x76311),x76313),f750(x76312,x76313,x76311))),x76312)+~P105(f844(f844(f328(x76311),x76313),f844(f172(x76311),x76312)))
% 201.98/201.92 [7632]E(f844(f844(f134(x76321),f751(x76322,x76323,x76321)),f844(f844(f151(x76321),x76323),f752(x76322,x76323,x76321))),x76322)+~P105(f844(f844(f328(x76321),x76323),f844(f172(x76321),x76322)))
% 201.98/201.92 [7653]~P24(x76531,x76532,x76533,f241(f916(x76531,a904)))+P24(f909(x76531),f909(x76532),f844(f154(x76531,x76532),x76533),f241(f916(f909(x76531),a904)))
% 201.98/201.92 [7800]E(x78001,f844(f844(f79(a908),f844(f844(f80(a908),f844(f250(a908,a908),x78002)),x78003)),f844(f255(a908,a908),x78002)))+~P105(f844(f47(x78001,x78003),x78002))
% 201.98/201.92 [7808]P24(x78081,x78082,x78083,f241(f916(x78081,a904)))+~P24(f909(x78081),f909(x78082),f844(f154(x78081,x78082),x78083),f241(f916(f909(x78081),a904)))
% 201.98/201.92 [7851]P105(f844(f844(f328(f916(x78511,a904)),f377(x78512,x78513,x78511)),x78513))+P105(f844(f844(f328(x78511),x78512),f37(f916(x78511,a904),x78513)))
% 201.98/201.92 [7940]P105(f844(f844(f328(f909(x79401)),x79402),f161(x79401,x79403)))+~P105(f844(f844(f328(x79401),f647(x79403,x79402,x79401)),x79403))
% 201.98/201.92 [8039]P30(x80391,x80392,x80393)+~P105(f844(x80392,f844(f844(f164(x80391),x80393),f748(x80393,x80392,x80391))))
% 201.98/201.92 [8063]E(x80631,x80632)+~E(f844(f844(f9(x80633,f916(x80633,a904),a904),f328(x80633)),x80631),f844(f844(f9(x80633,f916(x80633,a904),a904),f328(x80633)),x80632))
% 201.98/201.92 [8071]~P105(f844(f844(f328(f915(x80711,x80711)),x80713),f262(x80711,x80712)))+P105(f844(f844(f328(x80711),f469(x80712,x80713,x80711)),x80712))
% 201.98/201.92 [8073]~P105(f844(f844(f328(x80731),x80733),f36(f916(x80731,a904),x80732)))+P105(f844(f844(f328(f916(x80731,a904)),f890(x80732,x80733,x80731)),x80732))
% 201.98/201.92 [8192]P24(x81921,x81922,f90(x81922,x81921,f241(f916(x81922,a904)),x81923),f241(f916(x81921,a904)))+~E(f844(f309(x81922,x81921,x81923),f241(f916(x81922,a904))),f241(f916(x81921,a904)))
% 201.98/201.92 [8246]~P105(f844(f844(f328(x82461),x82462),f844(f172(x82461),f749(x82463,x82462,x82461))))+~P105(f844(f844(f328(x82461),x82462),f844(f172(x82461),x82463)))
% 201.98/201.92 [8247]~P105(f844(f844(f328(x82471),x82472),f844(f172(x82471),f752(x82473,x82472,x82471))))+~P105(f844(f844(f328(x82471),x82472),f844(f172(x82471),x82473)))
% 201.98/201.92 [8271]P29(f844(f72(a904,a904,a908,a321),x82711),x82712,x82713)+P32(a908,x82711,f139(a908,f844(f301(a908,x82712),x82713)))
% 201.98/201.92 [8431]E(x84311,f113(x84312))+P105(f844(f844(f328(x84312),f844(f250(x84312,f915(a99,a99)),f844(f274(x84312,x84311),x84313))),f844(f172(x84312),x84311)))
% 201.98/201.92 [8528]~P68(x85281)+E(f844(f142(x85281,x85281,f844(f9(x85281,x85281,x85281),f79(x85281)),x85282),f844(f168(x85281),x85283)),f844(f142(x85281,x85281,f79(x85281),x85282),x85283))
% 201.98/201.92 [8719]~P24(x87192,x87191,x87193,f241(f916(x87192,a904)))+E(f844(f309(x87191,x87192,f90(x87192,x87191,f241(f916(x87192,a904)),x87193)),f241(f916(x87191,a904))),f241(f916(x87192,a904)))
% 201.98/201.92 [8789]~P29(f844(f72(a904,a904,a908,a321),x87891),x87892,x87893)+~P32(a908,x87891,f139(a908,f844(f301(a908,x87892),x87893)))
% 201.98/201.92 [9036]~P108(x90361)+E(f844(f172(x90361),f149(x90361,x90361,f7(x90361),x90362,x90363)),f844(f844(f308(x90361),x90362),f844(f172(x90361),x90363)))
% 201.98/201.92 [9045]~E(f844(x90453,f844(f90(x90451,x90452,f241(f916(x90451,a904)),x90453),f799(x90453,x90452,x90451))),f799(x90453,x90452,x90451))+E(f844(f309(x90451,x90452,x90453),f241(f916(x90451,a904))),f241(f916(x90452,a904)))
% 201.98/201.92 [9047]P105(f844(f844(f235(a908),f2(a908)),f615(x90471,x90472,x90473)))+~P105(f844(f844(f328(f915(x90473,x90473)),x90472),f844(f844(f288(x90473,x90473,x90473),x90471),f306(x90473,x90471))))
% 201.98/201.92 [9322]~P56(x93221,x93222)+~P105(f844(f844(f328(f915(x93221,x93221)),f844(f844(f251(x93221,x93221),x93223),x93223)),f844(f844(f288(x93221,x93221,x93221),x93222),f306(x93221,x93222))))
% 201.98/201.92 [9456]~E(f844(f844(f101(f916(f915(x94561,x94561),a904)),f844(f285(x94561,x94561),x94562)),f306(x94561,x94562)),f188(f916(f915(x94561,x94561),a904)))+~P105(f844(f844(f328(f915(x94561,x94561)),f844(f844(f251(x94561,x94561),x94563),x94563)),f844(f844(f288(x94561,x94561,x94561),x94562),f306(x94561,x94562))))
% 201.98/201.92 [9636]~P105(f844(f60(x96361),x96362))+P105(f844(f844(f234(a908),f844(f34(x96361),f844(f844(f3(f916(x96361,a904)),x96362),f844(f844(f308(x96361),x96363),f188(f916(x96361,a904)))))),f844(f34(x96361),x96362)))
% 201.98/201.92 [5180]~E(x51803,f113(x51801))+E(f144(x51801,f844(f844(f151(x51801),x51802),x51803)),x51802)
% 201.98/201.92 [5189]~E(x51893,f113(x51891))+E(f114(x51891,f844(f844(f151(x51891),x51892),x51893)),f113(x51891))
% 201.98/201.92 [5219]E(x52191,f113(x52192))+E(f144(x52192,f844(f844(f151(x52192),x52193),x52191)),f144(x52192,x52191))
% 201.98/201.92 [5221]E(x52211,f113(x52212))+E(f144(x52212,f844(f844(f134(x52212),x52213),x52211)),f144(x52212,x52211))
% 201.98/201.92 [5227]~E(x52273,f113(x52271))+E(f114(x52271,f844(f844(f134(x52271),x52272),x52273)),f114(x52271,x52272))
% 201.98/201.92 [5229]~E(x52293,f113(x52291))+E(f144(x52291,f844(f844(f134(x52291),x52292),x52293)),f144(x52291,x52292))
% 201.98/201.92 [5262]E(x52621,f113(x52622))+E(f844(f141(x52622),f844(f844(f134(x52622),x52621),x52623)),f844(f141(x52622),x52621))
% 201.98/201.92 [5290]~E(x52902,f113(x52901))+E(f844(f141(x52901),f844(f844(f134(x52901),x52902),x52903)),f844(f141(x52901),x52903))
% 201.98/201.92 [5343]~P77(x53431)+E(f844(f844(f110(x53431),x53432),f844(f844(f101(x53431),x53432),x53433)),x53432)
% 201.98/201.92 [5344]~P77(x53441)+E(f844(f844(f101(x53441),x53442),f844(f844(f110(x53441),x53442),x53443)),x53442)
% 201.98/201.92 [5345]~P108(x53451)+E(f844(f844(f232(x53451),x53452),f844(f844(f233(x53451),x53452),x53453)),x53452)
% 201.98/201.92 [5346]~P108(x53461)+E(f844(f844(f233(x53461),x53462),f844(f844(f232(x53461),x53462),x53463)),x53462)
% 201.98/201.92 [5365]~P59(x53651)+E(f44(x53651,f844(f844(f80(x53651),x53652),x53653),x53653),f2(x53651))
% 201.98/201.92 [5366]~P59(x53661)+E(f44(x53661,f844(f844(f80(x53661),x53662),x53663),x53662),f2(x53661))
% 201.98/201.92 [5440]~P66(x54401)+E(f844(f78(x54401),f844(f844(f3(x54401),x54402),x54403)),f844(f844(f3(x54401),x54403),x54402))
% 201.98/201.92 [5501]E(x55011,f113(x55012))+E(f114(x55012,f844(f844(f151(x55012),x55013),x55011)),f844(f844(f151(x55012),x55013),f114(x55012,x55011)))
% 201.98/201.92 [5502]E(x55021,f113(x55022))+E(f114(x55022,f844(f844(f134(x55022),x55023),x55021)),f844(f844(f134(x55022),x55023),f114(x55022,x55021)))
% 201.98/201.92 [5505]~P4(x55051)+E(f36(x55051,f844(f844(f308(x55051),x55052),x55053)),f844(f844(f110(x55051),x55052),f36(x55051,x55053)))
% 201.98/201.92 [5506]~P4(x55061)+E(f37(x55061,f844(f844(f308(x55061),x55062),x55063)),f844(f844(f101(x55061),x55062),f37(x55061,x55063)))
% 201.98/201.92 [5551]~P77(x55511)+E(f844(f844(f110(x55511),x55512),f844(f844(f110(x55511),x55512),x55513)),f844(f844(f110(x55511),x55512),x55513))
% 201.98/201.92 [5553]~P100(x55531)+E(f844(f844(f110(x55531),x55532),f844(f844(f110(x55531),x55532),x55533)),f844(f844(f110(x55531),x55532),x55533))
% 201.98/201.92 [5554]~P96(x55541)+E(f844(f844(f80(x55541),x55542),f844(f844(f80(x55541),x55542),x55543)),f844(f844(f80(x55541),x55542),x55543))
% 201.98/201.92 [5555]~P77(x55551)+E(f844(f844(f101(x55551),x55552),f844(f844(f101(x55551),x55552),x55553)),f844(f844(f101(x55551),x55552),x55553))
% 201.98/201.92 [5557]~P101(x55571)+E(f844(f844(f101(x55571),x55572),f844(f844(f101(x55571),x55572),x55573)),f844(f844(f101(x55571),x55572),x55573))
% 201.98/201.92 [5559]~P108(x55591)+E(f844(f844(f232(x55591),x55592),f844(f844(f232(x55591),x55592),x55593)),f844(f844(f232(x55591),x55592),x55593))
% 201.98/201.92 [5561]~P108(x55611)+E(f844(f844(f233(x55611),x55612),f844(f844(f233(x55611),x55612),x55613)),f844(f844(f233(x55611),x55612),x55613))
% 201.98/201.92 [5568]~P59(x55681)+E(f44(x55681,f844(f844(f79(x55681),x55682),x55683),x55683),f44(x55681,x55682,x55683))
% 201.98/201.92 [5569]~P59(x55691)+E(f44(x55691,f844(f844(f79(x55691),x55692),x55693),x55692),f44(x55691,x55693,x55692))
% 201.98/201.92 [5578]~P110(x55781)+E(f844(f844(f80(x55781),x55782),f844(f78(x55781),x55783)),f844(f78(x55781),f844(f844(f80(x55781),x55782),x55783)))
% 201.98/201.92 [5579]~P62(x55791)+E(f844(f844(f290(x55791),x55792),f844(f78(x55791),x55793)),f844(f78(x55791),f844(f844(f290(x55791),x55792),x55793)))
% 201.98/201.92 [5580]~P82(x55801)+E(f844(f844(f79(x55801),x55802),f844(f165(x55801),x55803)),f844(f165(x55801),f844(f844(f151(x55801),x55802),x55803)))
% 201.98/201.92 [5608]~P110(x56081)+E(f844(f844(f80(x56081),f844(f78(x56081),x56082)),x56083),f844(f844(f80(x56081),x56082),f844(f78(x56081),x56083)))
% 201.98/201.92 [5614]~P7(x56141,x56142,x56143)+E(f36(f916(x56141,a904),f844(f844(f59(x56141),x56142),x56143)),x56142)
% 201.98/201.92 [5680]~P115(x56801)+E(f844(f844(f80(x56801),x56802),f844(f844(f243(x56801),x56802),x56803)),f844(f844(f243(x56801),x56802),f844(a112,x56803)))
% 201.98/201.92 [5681]~P112(x56811)+E(f844(f844(f80(x56811),x56812),f844(f844(f243(x56811),x56812),x56813)),f844(f844(f243(x56811),x56812),f844(a112,x56813)))
% 201.98/201.92 [5691]~P73(x56911)+E(f844(f844(f79(x56911),f844(f78(x56911),x56912)),f844(f844(f79(x56911),x56912),x56913)),x56913)
% 201.98/201.92 [5714]~P143(x57141)+E(f844(f844(f243(x57141),f844(f100(x57141),x57142)),x57143),f844(f100(x57141),f844(f844(f243(a908),x57142),x57143)))
% 201.98/201.92 [5715]~P140(x57151)+E(f844(f844(f243(x57151),f844(f102(x57151),x57152)),x57153),f844(f102(x57151),f844(f844(f243(a1),x57152),x57153)))
% 201.98/201.92 [5721]~P86(x57211)+E(f844(f75(x57211),f844(f844(f3(x57211),x57212),x57213)),f844(f75(x57211),f844(f844(f3(x57211),x57213),x57212)))
% 201.98/201.92 [5723]~P118(x57231)+E(f844(f844(f80(x57231),f81(x57231,x57232)),f81(x57231,x57233)),f81(x57231,f844(f844(f80(x57231),x57232),x57233)))
% 201.98/201.92 [5727]E(x57271,f113(x57272))+E(f844(f844(f134(x57272),f844(f171(x57272),x57271)),x57273),f844(f171(x57272),f844(f844(f134(x57272),x57271),x57273)))
% 201.98/201.92 [5733]~E(x57332,f844(a112,f844(f844(f79(a908),x57331),x57333)))+P105(f844(f844(f235(a908),x57331),x57332))
% 201.98/201.92 [5734]~P118(x57341)+E(f844(f844(f243(x57341),f844(f75(x57341),x57342)),x57343),f844(f75(x57341),f844(f844(f243(x57341),x57342),x57343)))
% 201.98/201.92 [5735]~P110(x57351)+E(f844(f844(f80(x57351),f844(f78(x57351),x57352)),x57353),f844(f78(x57351),f844(f844(f80(x57351),x57352),x57353)))
% 201.98/201.92 [5736]~P121(x57361)+E(f844(f844(f290(x57361),f844(f78(x57361),x57362)),x57363),f844(f78(x57361),f844(f844(f290(x57361),x57362),x57363)))
% 201.98/201.92 [5834]E(f527(x58341,x58342,x58343),f540(x58341,x58342,x58343))+E(f844(f844(f101(f916(x58343,a904)),x58342),x58341),f188(f916(x58343,a904)))
% 201.98/201.92 [5849]~P69(x58492)+E(f844(f844(f8(x58491,x58492),f844(f18(x58492,x58491),f2(x58492))),x58493),f2(x58492))
% 201.98/201.92 [5850]~P74(x58502)+E(f844(f844(f11(x58501,x58502),f844(f18(x58502,x58501),f77(x58502))),x58503),f77(x58502))
% 201.98/201.92 [5852]~P94(x58521)+E(f844(f844(f3(x58521),f844(f103(x58521),x58522)),f844(f103(x58521),x58523)),f844(f103(x58521),f844(f844(f3(a1),x58522),x58523)))
% 201.98/201.92 [5855]~P143(x58551)+E(f844(f844(f80(x58551),f844(f100(x58551),x58552)),f844(f100(x58551),x58553)),f844(f100(x58551),f844(f844(f80(a908),x58552),x58553)))
% 201.98/201.92 [5856]~P143(x58561)+E(f844(f844(f79(x58561),f844(f100(x58561),x58562)),f844(f100(x58561),x58563)),f844(f100(x58561),f844(f844(f79(a908),x58562),x58563)))
% 201.98/201.92 [5857]~P140(x58571)+E(f844(f844(f3(x58571),f844(f102(x58571),x58572)),f844(f102(x58571),x58573)),f844(f102(x58571),f844(f844(f3(a1),x58572),x58573)))
% 201.98/201.92 [5858]~P140(x58581)+E(f844(f844(f80(x58581),f844(f102(x58581),x58582)),f844(f102(x58581),x58583)),f844(f102(x58581),f844(f844(f80(a1),x58582),x58583)))
% 201.98/201.92 [5859]~P140(x58591)+E(f844(f844(f79(x58591),f844(f102(x58591),x58592)),f844(f102(x58591),x58593)),f844(f102(x58591),f844(f844(f79(a1),x58592),x58593)))
% 201.98/201.92 [5860]~P94(x58601)+E(f844(f844(f80(x58601),f844(f103(x58601),x58602)),f844(f103(x58601),x58603)),f844(f103(x58601),f844(f844(f80(a1),x58602),x58603)))
% 201.98/201.92 [5861]~P94(x58611)+E(f844(f844(f79(x58611),f844(f103(x58611),x58612)),f844(f103(x58611),x58613)),f844(f103(x58611),f844(f844(f79(a1),x58612),x58613)))
% 201.98/201.92 [5909]~E(x59093,x59092)+P105(f844(f844(f234(f916(x59091,a904)),x59092),x59093))
% 201.98/201.92 [5915]~E(x59152,x59153)+P105(f844(f844(f234(f916(x59151,a904)),x59152),x59153))
% 201.98/201.92 [5920]~P118(x59201)+E(f844(f844(f80(x59201),f844(f75(x59201),x59202)),f844(f75(x59201),x59203)),f844(f75(x59201),f844(f844(f80(x59201),x59202),x59203)))
% 201.98/201.92 [5921]~P64(x59211)+E(f844(f844(f290(x59211),f844(f75(x59211),x59212)),f844(f75(x59211),x59213)),f844(f75(x59211),f844(f844(f290(x59211),x59212),x59213)))
% 201.98/201.92 [5922]~P95(x59221)+E(f844(f844(f101(x59221),f844(f78(x59221),x59222)),f844(f78(x59221),x59223)),f844(f78(x59221),f844(f844(f110(x59221),x59222),x59223)))
% 201.98/201.92 [5923]~P95(x59231)+E(f844(f844(f110(x59231),f844(f78(x59231),x59232)),f844(f78(x59231),x59233)),f844(f78(x59231),f844(f844(f101(x59231),x59232),x59233)))
% 201.98/201.92 [5924]~P73(x59241)+E(f844(f844(f79(x59241),f844(f78(x59241),x59242)),f844(f78(x59241),x59243)),f844(f78(x59241),f844(f844(f79(x59241),x59243),x59242)))
% 201.98/201.92 [5925]~P66(x59251)+E(f844(f844(f79(x59251),f844(f78(x59251),x59252)),f844(f78(x59251),x59253)),f844(f78(x59251),f844(f844(f79(x59251),x59252),x59253)))
% 201.98/201.92 [5926]~P75(x59261)+E(f844(f844(f233(x59261),f844(f78(x59261),x59262)),f844(f78(x59261),x59263)),f844(f78(x59261),f844(f844(f232(x59261),x59262),x59263)))
% 201.98/201.92 [5927]~P75(x59271)+E(f844(f844(f232(x59271),f844(f78(x59271),x59272)),f844(f78(x59271),x59273)),f844(f78(x59271),f844(f844(f233(x59271),x59272),x59273)))
% 201.98/201.92 [5928]~P82(x59281)+E(f844(f844(f79(x59281),f844(f165(x59281),x59282)),f844(f165(x59281),x59283)),f844(f165(x59281),f844(f844(f134(x59281),x59282),x59283)))
% 201.98/201.92 [5929]E(x59291,f188(f916(x59292,a904)))+~E(f844(f844(f110(f916(x59292,a904)),x59293),x59291),f188(f916(x59292,a904)))
% 201.98/201.92 [5930]E(x59301,f188(f916(x59302,a904)))+~E(f844(f844(f110(f916(x59302,a904)),x59301),x59303),f188(f916(x59302,a904)))
% 201.98/201.92 [5931]~P146(x59311,x59313,x59312)+P105(f844(x59311,f844(f844(f35(a1),x59312),x59313)))
% 201.98/201.92 [5996]~P105(f844(f60(x59961),x59963))+P105(f844(f60(x59961),f844(f844(f308(x59961),x59962),x59963)))
% 201.98/201.92 [5997]~P105(f844(f137(x59971),x59973))+P105(f844(f137(x59971),f844(f844(f175(x59971),x59972),x59973)))
% 201.98/201.92 [5998]~P105(f844(f137(x59981),x59983))+P105(f844(f137(x59981),f844(f844(f138(x59981),x59982),x59983)))
% 201.98/201.92 [6028]~P77(x60281)+P105(f844(f844(f234(x60281),x60282),f844(f844(f110(x60281),x60283),x60282)))
% 201.98/201.92 [6029]~P100(x60291)+P105(f844(f844(f234(x60291),x60292),f844(f844(f110(x60291),x60293),x60292)))
% 201.98/201.92 [6030]~P77(x60301)+P105(f844(f844(f234(x60301),x60302),f844(f844(f110(x60301),x60302),x60303)))
% 201.98/201.92 [6031]~P100(x60311)+P105(f844(f844(f234(x60311),x60312),f844(f844(f110(x60311),x60312),x60313)))
% 201.98/201.92 [6032]~P108(x60321)+P105(f844(f844(f234(x60321),x60322),f844(f844(f233(x60321),x60323),x60322)))
% 201.98/201.92 [6033]~P108(x60331)+P105(f844(f844(f234(x60331),x60332),f844(f844(f233(x60331),x60332),x60333)))
% 201.98/201.92 [6047]~E(x60471,f2(a908))+E(f844(f844(f35(a908),f844(f844(f80(a908),x60471),x60472)),f844(f844(f80(a908),x60471),x60473)),f2(a908))
% 201.98/201.92 [6127]~P94(x61271)+E(f844(f844(f3(x61271),f844(f103(x61271),x61272)),f844(f103(x61271),x61273)),f844(f103(x61271),f844(f844(f79(a1),x61272),f844(f78(a1),x61273))))
% 201.98/201.92 [6186]E(x61861,f2(a908))+E(f844(f844(f35(a908),f844(f844(f80(a908),x61861),x61862)),f844(f844(f80(a908),x61861),x61863)),f844(f844(f35(a908),x61862),x61863))
% 201.98/201.92 [6216]E(f152(x62161,f844(f844(f151(x62161),x62162),x62163)),f844(f844(f151(x62161),x62162),f152(x62161,x62163)))+P105(f844(f844(f328(x62161),x62162),f844(f172(x62161),x62163)))
% 201.98/201.92 [6252]P146(x62521,x62522,x62523)+~P105(f844(x62521,f844(f844(f35(a1),x62523),x62522)))
% 201.98/201.92 [6327]E(x63271,f113(x63272))+E(f844(f844(f151(x63272),f844(f141(x63272),x63271)),f844(f844(f175(x63272),x63273),f844(f171(x63272),x63271))),f844(f844(f175(x63272),f844(a112,x63273)),x63271))
% 201.98/201.92 [6334]E(f844(f844(f3(f916(x63341,a904)),x63342),x63343),x63342)+~E(f844(f844(f101(f916(x63341,a904)),x63342),x63343),f188(f916(x63341,a904)))
% 201.98/201.92 [6348]E(f152(x63481,f844(f844(f151(x63481),x63482),x63483)),f152(x63481,x63483))+~P105(f844(f844(f328(x63481),x63482),f844(f172(x63481),x63483)))
% 201.98/201.92 [6378]~P105(f844(f844(f234(a908),x63781),x63783))+P105(f844(f844(f234(a908),x63781),f844(f844(f79(a908),x63782),x63783)))
% 201.98/201.92 [6380]~P105(f844(f844(f234(a908),x63801),x63802))+P105(f844(f844(f234(a908),x63801),f844(f844(f79(a908),x63802),x63803)))
% 201.98/201.92 [6382]~P105(f844(f844(f235(a908),x63821),x63823))+P105(f844(f844(f235(a908),x63821),f844(f844(f79(a908),x63822),x63823)))
% 201.98/201.92 [6384]~P105(f844(f844(f235(a908),x63841),x63842))+P105(f844(f844(f235(a908),x63841),f844(f844(f79(a908),x63842),x63843)))
% 201.98/201.92 [6424]P105(f844(f60(x64241),x64242))+~P105(f844(f60(x64241),f844(f844(f308(x64241),x64243),x64242)))
% 201.98/201.92 [6425]P105(f844(f137(x64251),x64252))+~P105(f844(f137(x64251),f844(f844(f151(x64251),x64253),x64252)))
% 201.98/201.92 [6426]P105(f844(f137(x64261),x64262))+~P105(f844(f137(x64261),f844(f844(f134(x64261),x64263),x64262)))
% 201.98/201.92 [6427]P105(f844(f137(x64271),x64272))+~P105(f844(f137(x64271),f844(f844(f134(x64271),x64272),x64273)))
% 201.98/201.92 [6480]~P112(x64801)+E(f844(f844(f79(x64801),x64802),f844(f844(f80(x64801),x64803),x64802)),f844(f844(f80(x64801),f844(f844(f79(x64801),x64803),f77(x64801))),x64802))
% 201.98/201.92 [6527]~E(x65271,x65272)+~P105(f844(f844(f235(f916(x65273,a904)),x65271),x65272))
% 201.98/201.92 [6571]P105(f844(f844(f328(x65711),x65712),x65713))+P105(f844(f844(f328(x65711),x65712),f844(f78(f916(x65711,a904)),x65713)))
% 201.98/201.92 [6577]E(f144(x65771,f844(f844(f138(x65771),x65772),x65773)),f144(x65771,x65773))+~P105(f844(f844(f235(a908),x65772),f844(f189(f909(x65771)),x65773)))
% 201.98/201.92 [6578]E(f844(f844(f175(x65781),x65782),f114(x65781,x65783)),f844(f844(f175(x65781),x65782),x65783))+~P105(f844(f844(f235(a908),x65782),f844(f189(f909(x65781)),x65783)))
% 201.98/201.92 [6635]E(f844(f844(f844(f183(f909(x66351),f909(x66351)),x66352),f167(x66351)),x66353),x66353)+~E(f44(a908,x66352,f844(f189(f909(x66351)),x66353)),f2(a908))
% 201.98/201.92 [6642]~P7(x66421,x66423,x66422)+E(f844(f844(f288(x66421,x66421,x66421),f844(f285(x66421,x66421),x66422)),x66422),x66422)
% 201.98/201.92 [6685]~E(f844(f844(f110(f916(x66851,a904)),x66852),x66853),x66853)+P105(f844(f844(f234(f916(x66851,a904)),x66852),x66853))
% 201.98/201.92 [6690]~P53(x66901,x66901,x66903)+P53(x66901,x66901,f844(f844(f183(f915(x66901,x66901),a904),x66902),x66903))
% 201.98/201.92 [6693]~P105(f844(f844(f328(x66931),x66933),f844(f172(x66931),x66932)))+P105(f844(f844(f235(a908),f2(a908)),f844(f189(f909(x66931)),x66932)))
% 201.98/201.92 [6721]~P86(x67211)+E(f844(f75(x67211),f844(f844(f79(x67211),f844(f75(x67211),x67212)),f844(f75(x67211),x67213))),f844(f844(f79(x67211),f844(f75(x67211),x67212)),f844(f75(x67211),x67213)))
% 201.98/201.92 [6732]E(f844(f844(f35(a908),f844(f844(f80(a908),x67321),x67322)),f844(f844(f80(a908),x67321),x67323)),f844(f844(f35(a908),x67322),x67323))+~P105(f844(f844(f235(a908),f2(a908)),x67321))
% 201.98/201.92 [6876]~P105(f844(f60(x68761),x68763))+E(f844(f844(f63(x68761,f916(x68761,a904),f308(x68761)),x68762),x68763),f844(f844(f110(f916(x68761,a904)),x68763),x68762))
% 201.98/201.92 [6932]E(f844(f844(f110(f916(x69321,a904)),x69322),x69323),x69322)+~P105(f844(f844(f234(f916(x69321,a904)),x69323),x69322))
% 201.98/201.92 [6934]E(f844(f844(f110(f916(x69341,a904)),x69342),x69343),x69343)+~P105(f844(f844(f234(f916(x69341,a904)),x69342),x69343))
% 201.98/201.92 [6935]E(f844(f844(f101(f916(x69351,a904)),x69352),x69353),x69353)+~P105(f844(f844(f234(f916(x69351,a904)),x69353),x69352))
% 201.98/201.92 [6936]E(f844(f844(f101(f916(x69361,a904)),x69362),x69363),x69362)+~P105(f844(f844(f234(f916(x69361,a904)),x69362),x69363))
% 201.98/201.92 [6985]~P105(f844(f137(x69851),x69852))+E(f844(f844(f3(f916(x69851,a904)),f844(f172(x69851),x69852)),f844(f844(f308(x69851),x69853),f188(f916(x69851,a904)))),f844(f172(x69851),f170(x69851,x69853,x69852)))
% 201.98/201.92 [7037]P36(x70371,x70372)+~P36(x70371,f844(f844(f183(f915(x70371,x70371),a904),x70373),x70372))
% 201.98/201.92 [7104]P105(f844(f48(x71041,x71042),f844(a50,x71043)))+~P105(f844(f48(f844(f78(a1),x71041),f844(f78(a1),x71042)),x71043))
% 201.98/201.92 [7109]E(f844(f844(f3(f916(x71091,a904)),f844(f844(f308(x71091),x71092),x71093)),f844(f844(f308(x71091),x71092),f188(f916(x71091,a904)))),x71093)+P105(f844(f844(f328(x71091),x71092),x71093))
% 201.98/201.92 [7132]E(f844(f844(f101(f916(x71321,a904)),f844(f172(x71321),x71322)),f844(f172(x71321),x71323)),f188(f916(x71321,a904)))+~P105(f844(f137(x71321),f844(f844(f134(x71321),x71322),x71323)))
% 201.98/201.92 [7147]~P105(f844(f844(f328(x71471),x71472),f844(f172(x71471),x71473)))+~P105(f844(f137(x71471),f844(f844(f151(x71471),x71472),x71473)))
% 201.98/201.92 [7218]P30(x72181,x72182,x72183)+P105(f844(f844(f235(a908),f748(x72183,x72182,x72181)),f844(f189(f909(x72181)),x72183)))
% 201.98/201.92 [7228]E(f844(f844(f101(f916(x72281,a904)),x72282),x72283),f188(f916(x72281,a904)))+P105(f844(f844(f328(x72281),f527(x72283,x72282,x72281)),x72282))
% 201.98/201.92 [7229]E(f844(f844(f101(f916(x72291,a904)),x72292),x72293),f188(f916(x72291,a904)))+P105(f844(f844(f328(x72291),f540(x72293,x72292,x72291)),x72293))
% 201.98/201.92 [7232]E(f114(x72321,f844(f844(f175(x72321),x72322),x72323)),f844(f844(f175(x72321),f844(f844(f3(a908),x72322),f77(a908))),x72323))+~P105(f844(f844(f234(a908),x72322),f844(f189(f909(x72321)),x72323)))
% 201.98/201.92 [7292]~P32(x72923,x72922,x72921)+P105(f844(f844(f235(a908),f742(x72921,x72922,x72923)),f844(f189(f909(x72923)),x72921)))
% 201.98/201.92 [7310]P105(f844(f844(f235(a908),f2(a908)),x73101))+P105(f844(f844(f234(a908),f844(f844(f80(a908),x73102),x73101)),f844(f844(f80(a908),x73103),x73101)))
% 201.98/201.92 [7311]P105(f844(f844(f235(a908),f2(a908)),x73111))+P105(f844(f844(f234(a908),f844(f844(f80(a908),x73111),x73112)),f844(f844(f80(a908),x73111),x73113)))
% 201.98/201.92 [7314]~P105(f844(f844(f328(x73141),x73142),x73143))+~P105(f844(f844(f328(x73141),x73142),f844(f78(f916(x73141,a904)),x73143)))
% 201.98/201.92 [7320]~P105(f844(f844(f235(f916(x73201,a904)),x73202),x73203))+P105(f844(f844(f234(f916(x73201,a904)),x73202),x73203))
% 201.98/201.92 [7430]~P105(f844(f844(f234(a908),x74303),x74302))+P105(f844(f844(f234(a908),f844(f844(f3(a908),x74301),x74302)),f844(f844(f3(a908),x74301),x74303)))
% 201.98/201.92 [7431]~P105(f844(f844(f234(a908),x74311),x74313))+P105(f844(f844(f234(a908),f844(f844(f3(a908),x74311),x74312)),f844(f844(f3(a908),x74313),x74312)))
% 201.98/201.92 [7433]~P105(f844(f844(f234(a908),x74332),x74333))+P105(f844(f844(f234(a908),f844(f844(f80(a908),x74331),x74332)),f844(f844(f80(a908),x74331),x74333)))
% 201.98/201.92 [7435]~P105(f844(f844(f234(a908),x74351),x74353))+P105(f844(f844(f234(a908),f844(f844(f80(a908),x74351),x74352)),f844(f844(f80(a908),x74353),x74352)))
% 201.98/201.92 [7436]~P105(f844(f844(f234(a908),x74362),x74363))+P105(f844(f844(f234(a908),f844(f844(f79(a908),x74361),x74362)),f844(f844(f79(a908),x74361),x74363)))
% 201.98/201.92 [7437]~P105(f844(f844(f234(a908),x74371),x74373))+P105(f844(f844(f234(a908),f844(f844(f79(a908),x74371),x74372)),f844(f844(f79(a908),x74373),x74372)))
% 201.98/201.92 [7438]~P105(f844(f844(f234(a908),x74381),x74383))+P105(f844(f844(f234(a908),f844(f844(f35(a908),x74381),x74382)),f844(f844(f35(a908),x74383),x74382)))
% 201.98/201.92 [7439]~P105(f844(f844(f234(a1),x74392),x74393))+P105(f844(f844(f234(a1),f844(f844(f79(a1),x74391),x74392)),f844(f844(f79(a1),x74391),x74393)))
% 201.98/201.92 [7442]~P105(f844(f844(f235(a908),x74422),x74423))+P105(f844(f844(f235(a908),f844(f844(f79(a908),x74421),x74422)),f844(f844(f79(a908),x74421),x74423)))
% 201.98/201.92 [7443]~P105(f844(f844(f235(a908),x74431),x74433))+P105(f844(f844(f235(a908),f844(f844(f79(a908),x74431),x74432)),f844(f844(f79(a908),x74433),x74432)))
% 201.98/201.92 [7444]~P105(f844(f844(f235(a1),x74441),x74443))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x74441),x74442)),f844(f844(f79(a1),x74443),x74442)))
% 201.98/201.92 [7523]E(x75231,x75232)+~P105(f844(f844(f328(x75233),x75231),f844(f844(f308(x75233),x75232),f188(f916(x75233,a904)))))
% 201.98/201.92 [7525]~E(f844(f844(f101(f916(x75251,a904)),x75252),x75253),f188(f916(x75251,a904)))+P105(f844(f844(f234(f916(x75251,a904)),x75252),f844(f78(f916(x75251,a904)),x75253)))
% 201.98/201.92 [7530]P105(f844(f844(f328(f916(x75301,a904)),x75302),f844(f307(x75301),x75303)))+~P105(f844(f844(f234(f916(x75301,a904)),x75302),x75303))
% 201.98/201.92 [7581]E(f844(f844(f151(x75811),f844(f844(f164(x75811),x75812),x75813)),f844(f844(f138(x75811),f844(a112,x75813)),x75812)),f844(f844(f138(x75811),x75813),x75812))+~P105(f844(f844(f235(a908),x75813),f844(f189(f909(x75811)),x75812)))
% 201.98/201.92 [7607]P105(f844(f844(f328(f915(x76071,x76071)),x76072),f306(x76071,x76073)))+~P105(f844(f844(f328(f915(x76071,x76071)),x76072),x76073))
% 201.98/201.92 [7616]~P105(f844(f844(f328(f916(x76161,a904)),x76162),f844(f307(x76161),x76163)))+P105(f844(f844(f234(f916(x76161,a904)),x76162),x76163))
% 201.98/201.92 [7659]P105(f844(f844(f234(f916(x76591,a904)),x76592),f36(f916(x76591,a904),x76593)))+~P105(f844(f844(f328(f916(x76591,a904)),x76592),x76593))
% 201.98/201.92 [7682]~P140(x76821)+E(f844(f844(f80(x76821),f844(f844(f243(x76821),f844(f78(x76821),f77(x76821))),x76822)),f844(f844(f243(x76821),x76823),x76822)),f844(f844(f243(x76821),f844(f78(x76821),x76823)),x76822))
% 201.98/201.92 [7704]E(f844(f844(f164(x77041),x77042),f844(f844(f3(a908),f844(f189(f909(x77041)),x77042)),f844(a112,x77043))),f844(f844(f164(x77041),f844(f168(x77041),x77042)),x77043))+~P105(f844(f844(f235(a908),x77043),f844(f189(f909(x77041)),x77042)))
% 201.98/201.92 [7721]~E(f844(f844(f101(f916(x77211,a904)),f665(x77213,x77212,x77211)),x77213),f188(f916(x77211,a904)))+E(f844(f844(f101(f916(x77211,a904)),f36(f916(x77211,a904),x77212)),x77213),f188(f916(x77211,a904)))
% 201.98/201.92 [7783]~P105(f844(f844(f328(x77833),x77832),f844(f172(x77833),x77831)))+P105(f844(f844(f235(a908),f609(x77831,x77832,x77833)),f844(f189(f909(x77833)),x77831)))
% 201.98/201.92 [7791]P105(f844(f844(f328(x77911),f844(f844(f164(x77911),x77912),x77913)),f844(f172(x77911),x77912)))+~P105(f844(f844(f235(a908),x77913),f844(f189(f909(x77911)),x77912)))
% 201.98/201.92 [7887]~P105(f844(x78872,f707(x78873,x78872,x78871)))+E(f844(f844(f138(x78871),f844(f189(f909(x78871)),f177(x78871,x78872,x78873))),x78873),f113(x78871))
% 201.98/201.92 [7900]P105(f844(f844(f234(f916(f909(x79001),a904)),f161(x79001,x79002)),f161(x79001,x79003)))+~P105(f844(f844(f234(f916(x79001,a904)),x79002),x79003))
% 201.98/201.92 [7901]P105(f844(f844(f234(f916(f909(x79011),a904)),f160(x79011,x79012)),f160(x79011,x79013)))+~P105(f844(f844(f234(f916(x79011,a904)),x79012),x79013))
% 201.98/201.92 [7927]E(f844(f844(f101(f916(x79271,a904)),f36(f916(x79271,a904),x79272)),x79273),f188(f916(x79271,a904)))+P105(f844(f844(f328(f916(x79271,a904)),f665(x79273,x79272,x79271)),x79272))
% 201.98/201.92 [7929]~P105(f844(f844(f328(f916(x79291,a904)),x79293),x79292))+P105(f844(f844(f234(f916(x79291,a904)),f37(f916(x79291,a904),x79292)),x79293))
% 201.98/201.92 [7931]E(f844(f844(f101(f916(x79311,a904)),x79312),x79313),f188(f916(x79311,a904)))+~P105(f844(f844(f234(f916(x79311,a904)),x79312),f844(f78(f916(x79311,a904)),x79313)))
% 201.98/201.92 [7977]E(f844(f844(f3(a908),f844(f844(f79(a908),f844(f165(a908),x79771)),x79772)),f844(f844(f164(a908),x79771),x79773)),f844(f165(a908),f844(f844(f159(a908,x79771),x79773),x79772)))+~P105(f844(f844(f235(a908),x79773),f844(f189(f909(a908)),x79771)))
% 201.98/201.92 [8028]P105(f844(f844(f234(a908),x80281),x80282))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),x80283),x80281)),f844(f844(f79(a908),x80283),x80282)))
% 201.98/201.92 [8031]P105(f844(f844(f235(a908),x80311),x80312))+~P105(f844(f844(f235(a908),f844(f844(f79(a908),x80313),x80311)),f844(f844(f79(a908),x80313),x80312)))
% 201.98/201.92 [8032]P105(f844(f844(f235(a908),x80321),x80322))+~P105(f844(f844(f235(a908),f844(f844(f80(a908),x80323),x80321)),f844(f844(f80(a908),x80323),x80322)))
% 201.98/201.92 [8033]P105(f844(f844(f235(a908),x80331),x80332))+~P105(f844(f844(f235(a908),f844(f844(f80(a908),x80331),x80333)),f844(f844(f80(a908),x80332),x80333)))
% 201.98/201.92 [8061]P105(f844(f844(f235(a908),f2(a908)),x80611))+~P105(f844(f844(f235(a908),f844(f844(f80(a908),x80612),x80611)),f844(f844(f80(a908),x80613),x80611)))
% 201.98/201.92 [8062]P105(f844(f844(f235(a908),f2(a908)),x80621))+~P105(f844(f844(f235(a908),f844(f844(f80(a908),x80621),x80622)),f844(f844(f80(a908),x80621),x80623)))
% 201.98/201.92 [8135]E(f246(x81351,x81352,x81353),x81352)+~P105(f844(f844(f234(f916(x81351,a904)),x81353),f844(f844(f308(x81351),x81352),f188(f916(x81351,a904)))))
% 201.98/201.92 [8185]~P105(f844(f137(x81851),x81853))+E(f844(f136(x81851,f844(f844(f10(a904,a904,x81851),a321),f844(a324,x81852))),x81853),f170(x81851,x81852,x81853))
% 201.98/201.92 [8210]E(f844(f844(f138(x82101),f844(f189(f909(x82101)),f177(x82101,x82102,x82103))),x82103),f113(x82101))+P105(f844(f844(f328(x82101),f707(x82103,x82102,x82101)),f844(f172(x82101),x82103)))
% 201.98/201.92 [8214]E(f844(f844(f134(x82141),f844(f844(f175(x82141),x82142),x82143)),f844(f844(f151(x82141),f844(f844(f164(x82141),x82143),x82142)),f113(x82141))),f844(f844(f175(x82141),f844(a112,x82142)),x82143))+~P105(f844(f844(f235(a908),x82142),f844(f189(f909(x82141)),x82143)))
% 201.98/201.92 [8276]E(f844(f136(x82761,f844(f844(f10(a904,a904,x82761),a321),f844(a324,x82762))),x82763),x82763)+P105(f844(f844(f328(x82761),x82762),f844(f172(x82761),x82763)))
% 201.98/201.92 [8282]P105(f844(f844(f234(f916(f916(x82821,a904),a904)),f247(x82821,x82822)),f247(x82821,x82823)))+~P105(f844(f844(f234(f916(x82821,a904)),x82822),x82823))
% 201.98/201.92 [8321]~P105(f844(f137(x83211),x83213))+P105(f844(f137(x83211),f844(f844(f844(f183(f909(x83211),f909(x83211)),x83212),f167(x83211)),x83213)))
% 201.98/201.92 [8327]~P105(f844(f844(f235(a908),x83272),x83273))+P105(f844(f844(f235(a908),f844(f844(f80(a908),f844(a112,x83271)),x83272)),f844(f844(f80(a908),f844(a112,x83271)),x83273)))
% 201.98/201.92 [8347]P105(f844(f844(f234(f916(f916(x83471,a904),a904)),f844(f307(x83471),x83472)),f844(f307(x83471),x83473)))+~P105(f844(f844(f234(f916(x83471,a904)),x83472),x83473))
% 201.98/201.92 [8416]~E(f844(f309(x84161,x84162,x84163),f241(f916(x84161,a904))),f241(f916(x84162,a904)))+E(f844(f72(x84161,x84162,x84162,x84163),f90(x84161,x84162,f241(f916(x84161,a904)),x84163)),f31(x84162))
% 201.98/201.92 [8509]~P105(f844(f844(f234(f916(x85091,a904)),x85093),x85092))+P105(f844(f844(f234(f916(x85091,a904)),f844(f78(f916(x85091,a904)),x85092)),f844(f78(f916(x85091,a904)),x85093)))
% 201.98/201.92 [8542]E(f844(f309(a908,a908,f844(f844(f9(a908,a908,a908),f3(a908)),x85421)),f844(f301(a908,x85422),x85423)),f844(f301(a908,f844(f844(f3(a908),x85422),x85421)),f844(f844(f3(a908),x85423),x85421)))+~P105(f844(f844(f235(a908),x85421),x85423))
% 201.98/201.92 [8568]~P82(x85681)+E(f844(f844(f79(x85681),x85682),f844(f142(x85681,x85681,f79(x85681),f2(x85681)),x85683)),f844(f142(x85681,x85681,f79(x85681),x85682),x85683))
% 201.98/201.92 [8643]~P86(x86431)+P105(f844(f844(f234(x86431),f844(f75(x86431),f844(f844(f3(x86431),x86432),x86433))),f844(f844(f79(x86431),f844(f75(x86431),x86432)),f844(f75(x86431),x86433))))
% 201.98/201.92 [8644]~P86(x86441)+P105(f844(f844(f234(x86441),f844(f75(x86441),f844(f844(f79(x86441),x86442),x86443))),f844(f844(f79(x86441),f844(f75(x86441),x86442)),f844(f75(x86441),x86443))))
% 201.98/201.92 [8655]E(f844(f844(f79(a1),f844(f844(f80(a1),x86551),f44(a1,f844(f844(f35(a1),x86552),x86551),x86553))),f44(a1,x86552,x86551)),f44(a1,x86552,f844(f844(f80(a1),x86551),x86553)))+~P105(f844(f844(f235(a1),f2(a1)),x86553))
% 201.98/201.92 [8661]E(f844(f844(f134(x86611),f844(f844(f175(x86611),x86612),x86613)),f844(f844(f151(x86611),f844(f141(x86611),f844(f844(f138(x86611),x86612),x86613))),f113(x86611))),f844(f844(f175(x86611),f844(a112,x86612)),x86613))+~P105(f844(f844(f235(a908),x86612),f844(f189(f909(x86611)),x86613)))
% 201.98/201.92 [8681]E(f844(f267(x86811,f844(f844(f154(x86811,f915(a99,x86811)),f844(f251(a99,x86811),f77(a99))),x86812)),f844(a5,x86813)),f844(f844(f164(x86811),x86812),x86813))+~P105(f844(f844(f235(a908),x86813),f844(f189(f909(x86811)),x86812)))
% 201.98/201.92 [8749]P105(f844(f844(f328(f915(x87491,x87491)),x87492),f844(f844(f288(x87491,x87491,x87491),x87493),f306(x87491,x87493))))+~P105(f844(f844(f328(f915(x87491,x87491)),x87492),x87493))
% 201.98/201.92 [8760]E(f844(f309(x87601,x87602,x87603),f241(f916(x87601,a904))),f241(f916(x87602,a904)))+~E(f844(f72(x87601,x87602,x87602,x87603),f90(x87601,x87602,f241(f916(x87601,a904)),x87603)),f31(x87602))
% 201.98/201.92 [8769]P105(f844(f844(f234(a908),x87691),x87692))+~P105(f844(f844(f234(a908),f844(f844(f80(a908),f844(a112,x87693)),x87691)),f844(f844(f80(a908),f844(a112,x87693)),x87692)))
% 201.98/201.92 [8785]P105(f844(f844(f234(f916(x87851,a904)),x87852),x87853))+~P105(f844(f844(f234(f916(x87851,a904)),f844(f78(f916(x87851,a904)),x87853)),f844(f78(f916(x87851,a904)),x87852)))
% 201.98/201.92 [8808]P105(f844(f137(x88081),x88082))+~P105(f844(f137(x88081),f844(f844(f844(f183(f909(x88081),f909(x88081)),x88083),f167(x88081)),x88082)))
% 201.98/201.92 [8881]E(f844(f284(x88811,x88811,f306(x88811,x88812)),x88813),x88813)+~P105(f844(f844(f234(f916(x88811,a904)),f844(f284(x88811,x88811,x88812),x88813)),x88813))
% 201.98/201.92 [8929]~P108(x89291)+P12(x89291,f844(f136(x89291,f844(f844(f9(x89291,x89291,a904),a324),f844(x89292,x89293))),x89293))
% 201.98/201.92 [8936]~P105(f844(f844(f234(a908),x89361),x89362))+P105(f844(f844(f234(a908),x89361),f844(f142(a908,a908,f79(a908),x89362),x89363)))
% 201.98/201.92 [9022]~P105(f844(f844(f328(f915(x90221,x90221)),x90222),f306(x90221,x90223)))+P105(f844(f844(f328(f915(x90221,x90221)),x90222),f844(f844(f183(f915(x90221,x90221),a904),f613(x90223,x90222,x90221)),x90223)))
% 201.98/201.92 [9103]~P82(x91031)+E(f844(f844(f79(x91031),x91032),f844(f142(x91031,x91031,f844(f9(x91031,x91031,x91031),f79(x91031)),f2(x91031)),f844(f168(x91031),x91033))),f844(f142(x91031,x91031,f79(x91031),x91032),x91033))
% 201.98/201.92 [9220]~P25(x92202,x92201,x92203,f241(f916(x92202,a904)),f241(f916(x92201,a904)))+E(f90(x92201,x92202,f241(f916(x92201,a904)),f90(x92202,x92201,f241(f916(x92202,a904)),x92203)),x92203)
% 201.98/201.92 [9371]P53(x93711,x93712,x93713)+P105(f844(f844(f328(f915(x93711,x93712)),f844(f844(f251(x93711,x93712),f604(x93713,x93712,x93711)),f598(x93713,x93712,x93711))),x93713))
% 201.98/201.92 [9372]P53(x93721,x93722,x93723)+P105(f844(f844(f328(f915(x93721,x93722)),f844(f844(f251(x93721,x93722),f604(x93723,x93722,x93721)),f597(x93723,x93722,x93721))),x93723))
% 201.98/201.92 [9441]~P105(f844(f844(f328(f915(x94411,x94411)),x94412),f844(f844(f288(x94411,x94411,x94411),x94413),f306(x94411,x94413))))+P105(f844(f844(f328(f915(x94411,x94411)),x94412),f844(f844(f183(f915(x94411,x94411),a904),f615(x94413,x94412,x94411)),x94413)))
% 201.98/201.92 [9442]~P105(f844(x94421,f844(f844(f164(x94422),x94423),f844(f189(f909(x94422)),f177(x94422,x94421,x94423)))))+~P105(f844(f844(f235(a908),f844(f189(f909(x94422)),f177(x94422,x94421,x94423))),f844(f189(f909(x94422)),x94423)))
% 201.98/201.92 [9531]~P105(f844(f844(f234(f916(x95311,a904)),x95312),x95313))+P105(f844(f844(f234(f916(x95311,a904)),f844(f844(f9(x95311,f916(x95311,a904),a904),f328(x95311)),x95312)),f844(f844(f9(x95311,f916(x95311,a904),a904),f328(x95311)),x95313)))
% 201.98/201.92 [9588]~P105(f844(f844(f328(f915(f916(x95881,a904),f916(x95881,a904))),f844(f844(f251(f916(x95881,a904),f916(x95881,a904)),x95882),x95883)),f313(x95881)))+P105(f844(f844(f235(f916(x95881,a904)),x95882),x95883))
% 201.98/201.92 [9612]P54(x96121,x96122,x96123)+~P105(f844(f844(f328(f915(x96121,x96121)),f844(f844(f251(x96121,x96121),f607(x96123,x96122,x96121)),f606(x96123,x96122,x96121))),x96123))
% 201.98/201.92 [9613]P54(x96131,x96132,x96133)+~P105(f844(f844(f328(f915(x96131,x96131)),f844(f844(f251(x96131,x96131),f606(x96133,x96132,x96131)),f607(x96133,x96132,x96131))),x96133))
% 201.98/201.92 [9650]~P105(f844(f844(f328(f915(f909(x96501),f909(x96501))),f844(f844(f251(f909(x96501),f909(x96501)),x96502),x96502)),f147(x96501,x96503)))+P105(f844(f844(f328(f915(x96501,x96501)),f844(f844(f251(x96501,x96501),f646(x96502,x96503,x96501)),f646(x96502,x96503,x96501))),x96503))
% 201.98/201.92 [9700]P105(f844(f844(f234(f916(x97001,a904)),x97002),x97003))+~P105(f844(f844(f234(f916(x97001,a904)),f844(f844(f9(x97001,f916(x97001,a904),a904),f328(x97001)),x97002)),f844(f844(f9(x97001,f916(x97001,a904),a904),f328(x97001)),x97003)))
% 201.98/201.92 [9781]E(f844(f844(f3(a908),f844(f844(f8(a908,a908),x97811),f844(f281(a908),x97812))),f844(f844(f8(a908,a908),x97813),f844(f281(a908),x97812))),f844(f844(f8(a908,a908),f844(f844(f20(a908,a908,a908),f844(f844(f10(a908,f916(a908,a908),a908),f3(a908)),x97811)),x97813)),f844(f281(a908),x97812)))+~P105(f844(f844(f234(a908),f844(x97813,f403(x97812,x97811,x97813))),f844(x97811,f403(x97812,x97811,x97813))))
% 201.98/201.92 [5770]~P73(x57701)+E(f844(f844(f3(x57701),f844(f844(f79(x57701),x57702),x57703)),x57703),x57702)
% 201.98/201.92 [5771]~P73(x57711)+E(f844(f844(f79(x57711),f844(f844(f3(x57711),x57712),x57713)),x57713),x57712)
% 201.98/201.92 [6005]~P73(x60051)+E(f844(f844(f79(x60051),x60052),f844(f844(f79(x60051),f844(f78(x60051),x60052)),x60053)),x60053)
% 201.98/201.92 [6088]~P81(x60881)+E(f844(f844(f80(x60881),f844(f844(f243(x60881),x60882),x60883)),x60882),f844(f844(f243(x60881),x60882),f844(a112,x60883)))
% 201.98/201.92 [6089]~P112(x60891)+E(f844(f844(f80(x60891),f844(f844(f243(x60891),x60892),x60893)),x60892),f844(f844(f243(x60891),x60892),f844(a112,x60893)))
% 201.98/201.92 [6311]~P118(x63111)+E(f844(f75(x63111),f844(f844(f243(x63111),f844(f78(x63111),x63112)),x63113)),f844(f75(x63111),f844(f844(f243(x63111),x63112),x63113)))
% 201.98/201.92 [6357]~P81(x63571)+E(f844(f844(f80(x63571),f844(f844(f243(x63571),x63572),x63573)),x63572),f844(f844(f80(x63571),x63572),f844(f844(f243(x63571),x63572),x63573)))
% 201.98/201.92 [6415]E(f844(f844(f3(a99),f844(f844(f79(a99),x64151),x64152)),x64153),f273(x64151,x64152,x64153))+~P105(f844(f844(f235(a99),x64152),x64153))
% 201.98/201.92 [6438]~E(f844(f844(f138(x64381),x64383),x64382),f113(x64381))+P105(f844(f844(f234(a908),f844(f189(f909(x64381)),x64382)),x64383))
% 201.98/201.92 [6576]E(f844(f844(f80(a908),f844(f103(a908),x65761)),f844(f844(f80(a908),f844(f103(a908),x65762)),x65763)),f2(a908))+~P105(f844(f844(f235(a1),x65761),a82))
% 201.98/201.92 [6592]~P62(x65921)+E(f844(f844(f243(x65921),f844(f844(f290(x65921),f77(x65921)),x65922)),x65923),f844(f844(f290(x65921),f77(x65921)),f844(f844(f243(x65921),x65922),x65923)))
% 201.98/201.92 [6671]E(f844(f844(f3(a908),f844(f844(f79(a908),x66711),x66712)),x66713),f844(f844(f3(a908),x66711),f844(f844(f3(a908),x66713),x66712)))+~P105(f844(f844(f234(a908),x66712),x66713))
% 201.98/201.92 [6673]E(f844(f844(f3(a908),f844(f844(f79(a908),x66731),x66732)),x66733),f844(f844(f79(a908),x66731),f844(f844(f3(a908),x66732),x66733)))+~P105(f844(f844(f234(a908),x66733),x66732))
% 201.98/201.92 [6712]~P77(x67121)+P105(f844(f844(f234(x67121),f844(f844(f101(x67121),x67122),x67123)),x67123))
% 201.98/201.92 [6713]~P101(x67131)+P105(f844(f844(f234(x67131),f844(f844(f101(x67131),x67132),x67133)),x67133))
% 201.98/201.92 [6714]~P77(x67141)+P105(f844(f844(f234(x67141),f844(f844(f101(x67141),x67142),x67143)),x67142))
% 201.98/201.92 [6715]~P101(x67151)+P105(f844(f844(f234(x67151),f844(f844(f101(x67151),x67152),x67153)),x67152))
% 201.98/201.92 [6716]~P108(x67161)+P105(f844(f844(f234(x67161),f844(f844(f232(x67161),x67162),x67163)),x67163))
% 201.98/201.92 [6717]~P108(x67171)+P105(f844(f844(f234(x67171),f844(f844(f232(x67171),x67172),x67173)),x67172))
% 201.98/201.92 [6731]E(f844(f844(f35(a1),f844(f844(f35(a1),x67311),x67312)),x67313),f844(f844(f35(a1),x67311),f844(f844(f80(a1),x67312),x67313)))+~P105(f844(f844(f235(a1),f2(a1)),x67313))
% 201.98/201.92 [6786]~P112(x67861)+E(f844(f844(f79(x67861),f844(f844(f80(x67861),x67862),x67863)),x67863),f844(f844(f80(x67861),f844(f844(f79(x67861),x67862),f77(x67861))),x67863))
% 201.98/201.92 [6787]~P94(x67871)+E(f844(f844(f80(x67871),f844(f78(x67871),f844(f103(x67871),x67872))),x67873),f844(f844(f80(x67871),f844(f103(x67871),f844(f78(a1),x67872))),x67873))
% 201.98/201.92 [6860]~P82(x68601)+E(f844(f165(x68601),f844(f844(f154(x68602,x68601),f844(f18(x68601,x68602),f2(x68601))),x68603)),f2(x68601))
% 201.98/201.92 [6878]E(f844(f844(f79(a908),f844(f103(a908),x68781)),f844(f844(f79(a908),f844(f103(a908),x68782)),x68783)),f844(f844(f79(a908),f844(f103(a908),x68782)),x68783))+~P105(f844(a193,f844(f103(a1),x68781)))
% 201.98/201.92 [6892]~P4(x68921)+E(f36(x68921,f844(f844(f308(x68921),x68922),f844(f844(f308(x68921),x68923),f188(f916(x68921,a904))))),f844(f844(f110(x68921),x68922),x68923))
% 201.98/201.92 [6893]~P4(x68931)+E(f37(x68931,f844(f844(f308(x68931),x68932),f844(f844(f308(x68931),x68933),f188(f916(x68931,a904))))),f844(f844(f101(x68931),x68932),x68933))
% 201.98/201.92 [6915]E(f844(f844(f175(x69151),x69152),x69153),x69153)+~P105(f844(f844(f234(a908),f844(f189(f909(x69151)),x69153)),x69152))
% 201.98/201.92 [6927]E(f844(f844(f138(x69271),x69272),x69273),f113(x69271))+~P105(f844(f844(f234(a908),f844(f189(f909(x69271)),x69273)),x69272))
% 201.98/201.92 [6938]E(f844(f844(f79(a908),f844(f844(f3(a908),x69381),x69382)),x69383),f844(f844(f3(a908),f844(f844(f79(a908),x69381),x69383)),x69382))+~P105(f844(f844(f234(a908),x69382),x69381))
% 201.98/201.92 [6952]~P105(f844(f844(f235(a908),x69521),x69523))+P105(f844(f844(f235(a908),f844(f844(f3(a908),x69521),x69522)),x69523))
% 201.98/201.92 [6979]~P108(x69791)+E(f170(x69791,x69792,f844(f844(f148(x69791,x69791,f7(x69791)),x69792),x69793)),x69793)
% 201.98/201.92 [7066]E(f844(f844(f3(a908),f844(f844(f79(a908),x70661),x70662)),f844(a112,x70663)),f844(f844(f3(a908),x70661),f844(a112,f844(f844(f3(a908),x70663),x70662))))+~P105(f844(f844(f234(a908),x70662),x70663))
% 201.98/201.92 [7067]~P118(x70671)+P105(f844(f844(f234(x70671),f2(x70671)),f844(f844(f243(x70671),f844(f75(x70671),x70672)),x70673)))
% 201.98/201.92 [7116]P23(x71161,x71162,x71163)+~P105(f844(f844(f234(f916(f907(x71161),a904)),x71163),x71162))
% 201.98/201.92 [7159]~P105(f844(f60(x71591),x71592))+P105(f844(f60(x71591),f844(f844(f3(f916(x71591,a904)),x71592),x71593)))
% 201.98/201.92 [7160]~P105(f844(f60(x71601),x71603))+P105(f844(f60(x71601),f844(f844(f101(f916(x71601,a904)),x71602),x71603)))
% 201.98/201.92 [7161]~P105(f844(f60(x71611),x71612))+P105(f844(f60(x71611),f844(f844(f101(f916(x71611,a904)),x71612),x71613)))
% 201.98/201.92 [7300]~P36(x73001,x73003)+P36(x73001,f844(f844(f101(f916(f915(x73001,x73001),a904)),x73002),x73003))
% 201.98/201.92 [7301]~P36(x73011,x73012)+P36(x73011,f844(f844(f101(f916(f915(x73011,x73011),a904)),x73012),x73013))
% 201.98/201.92 [7426]~P77(x74261)+E(f12(x74261,f844(f172(x74261),f844(f844(f151(x74261),x74262),x74263))),f844(f142(x74261,x74261,f110(x74261),x74262),x74263))
% 201.98/201.92 [7427]~P77(x74271)+E(f13(x74271,f844(f172(x74271),f844(f844(f151(x74271),x74272),x74273))),f844(f142(x74271,x74271,f101(x74271),x74272),x74273))
% 201.98/201.92 [7428]~P108(x74281)+E(f16(x74281,f844(f172(x74281),f844(f844(f151(x74281),x74282),x74283))),f844(f142(x74281,x74281,f232(x74281),x74282),x74283))
% 201.98/201.92 [7429]~P108(x74291)+E(f17(x74291,f844(f172(x74291),f844(f844(f151(x74291),x74292),x74293))),f844(f142(x74291,x74291,f233(x74291),x74292),x74293))
% 201.98/201.92 [7491]~P105(f844(f60(x74911),x74912))+P105(f844(f844(f234(a908),f844(f34(x74911),x74912)),f844(f34(x74911),f844(f844(f308(x74911),x74913),x74912))))
% 201.98/201.92 [7498]E(f844(f844(f110(f916(a908,a904)),f844(f301(a908,x74981),x74982)),f844(f301(a908,x74982),f844(f844(f79(a908),x74982),x74983))),f844(f301(a908,x74981),f844(f844(f79(a908),x74982),x74983)))+~P105(f844(f844(f234(a908),x74981),x74982))
% 201.98/201.92 [7507]P105(f844(f844(f234(a908),x75071),x75072))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),x75073),x75071)),x75072))
% 201.98/201.92 [7508]P105(f844(f844(f234(a908),x75081),x75082))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),x75081),x75083)),x75082))
% 201.98/201.92 [7509]P105(f844(f844(f235(a908),x75091),x75092))+~P105(f844(f844(f235(a908),f844(f844(f79(a908),x75091),x75093)),x75092))
% 201.98/201.92 [7548]~P108(x75481)+E(f14(x75481,f232(x75481),f844(f172(x75481),f844(f844(f151(x75481),x75482),x75483))),f844(f142(x75481,x75481,f232(x75481),x75482),x75483))
% 201.98/201.92 [7549]~P108(x75491)+E(f15(x75491,f233(x75491),f844(f172(x75491),f844(f844(f151(x75491),x75492),x75493))),f844(f142(x75491,x75491,f233(x75491),x75492),x75493))
% 201.98/201.92 [7553]~E(x75532,f188(f916(f915(x75531,x75531),a904)))+P105(f844(f844(f234(f916(f915(x75531,x75531),a904)),x75532),x75533))
% 201.98/201.92 [7654]E(f844(f844(f110(f916(x76541,a904)),x76542),f844(f844(f3(f916(x76541,a904)),x76543),x76542)),x76543)+~P105(f844(f844(f234(f916(x76541,a904)),x76542),x76543))
% 201.98/201.92 [7655]~P105(f844(f844(f234(a908),x76551),f844(f844(f79(a908),x76553),x76552)))+P105(f844(f844(f234(a908),f844(f844(f3(a908),x76551),x76552)),x76553))
% 201.98/201.92 [7656]~P105(f844(f844(f235(a908),x76561),f844(f844(f3(a908),x76563),x76562)))+P105(f844(f844(f235(a908),f844(f844(f79(a908),x76561),x76562)),x76563))
% 201.98/201.92 [7711]E(x77111,f113(x77112))+E(f844(f141(x77112),f844(f844(f844(f183(f909(x77112),f909(x77112)),x77113),f167(x77112)),x77111)),f844(f844(f164(x77112),x77111),f44(a908,x77113,f844(f189(f909(x77112)),x77111))))
% 201.98/201.92 [7720]E(f844(f844(f308(x77201),x77202),f844(f844(f3(f916(x77201,a904)),x77203),f844(f844(f308(x77201),x77202),f188(f916(x77201,a904))))),x77203)+~P105(f844(f844(f328(x77201),x77202),x77203))
% 201.98/201.92 [7878]P105(f844(f844(f234(a908),x78781),f844(f844(f79(a908),x78782),x78783)))+~P105(f844(f844(f234(a908),f844(f844(f3(a908),x78781),x78783)),x78782))
% 201.98/201.92 [7879]P105(f844(f844(f235(a908),x78791),f844(f844(f3(a908),x78792),x78793)))+~P105(f844(f844(f235(a908),f844(f844(f79(a908),x78791),x78793)),x78792))
% 201.98/201.92 [7904]P105(f844(f60(x79041),x79042))+~P105(f844(f60(x79041),f844(f844(f110(f916(x79041,a904)),x79043),x79042)))
% 201.98/201.92 [7905]P105(f844(f60(x79051),x79052))+~P105(f844(f60(x79051),f844(f844(f110(f916(x79051,a904)),x79052),x79053)))
% 201.98/201.92 [7976]~P45(x79761,x79763)+P105(f844(f844(f328(f915(x79761,x79761)),f844(f844(f251(x79761,x79761),x79762),x79762)),x79763))
% 201.98/201.92 [8108]E(f844(f844(f164(a908),f139(a908,f844(f301(a908,x81081),x81082))),x81083),f844(f844(f79(a908),x81081),x81083))+~P105(f844(f844(f235(a908),f844(f844(f79(a908),x81081),x81083)),x81082))
% 201.98/201.92 [8174]E(f844(f844(f175(a908),x81741),f139(a908,f844(f301(a908,x81742),x81743))),f139(a908,f844(f301(a908,x81742),f844(f844(f79(a908),x81742),x81741))))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),x81742),x81741)),x81743))
% 201.98/201.92 [8231]~P94(x82311)+E(f844(f844(f243(x82311),x82312),f844(f103(a908),f844(f844(f79(a1),x82313),x82313))),f844(f844(f85(x82311,x82311),f844(f844(f243(x82311),x82312),f844(f103(a908),x82313))),f844(f844(f20(x82311,x82311,x82311),f80(x82311)),f7(x82311))))
% 201.98/201.92 [8490]E(f844(f844(f134(x84901),f844(f844(f175(x84901),x84902),x84903)),f844(f844(f151(x84901),f844(f844(f164(x84901),x84903),x84902)),f844(f844(f138(x84901),f844(a112,x84902)),x84903))),x84903)+~P105(f844(f844(f235(a908),x84902),f844(f189(f909(x84901)),x84903)))
% 201.98/201.92 [8497]P105(f844(f844(f234(f916(x84971,a904)),f314(x84971,x84972)),f314(x84971,x84973)))+~P105(f844(f844(f234(f916(x84971,f916(x84971,a904))),x84973),x84972))
% 201.98/201.92 [8498]~P54(x84981,x84982,x84983)+P54(x84981,x84982,f844(f844(f3(f916(f915(x84981,x84981),a904)),x84983),f306(x84981,f188(f916(f915(x84981,x84981),a904)))))
% 201.98/201.92 [8517]P105(f844(f844(f234(f916(x85171,a904)),f315(x85171,x85172)),f315(x85171,x85173)))+~P105(f844(f844(f234(f916(f915(x85171,x85171),a904)),x85173),x85172))
% 201.98/201.92 [8524]~P126(x85241)+P105(f844(f844(f234(x85241),f2(x85241)),f844(f844(f79(x85241),f844(f844(f80(x85241),x85242),x85242)),f844(f844(f80(x85241),x85243),x85243))))
% 201.98/201.92 [8557]P105(f844(f844(f234(f916(x85571,a904)),f844(f280(x85571),x85572)),f844(f280(x85571),x85573)))+~P105(f844(f844(f234(f916(f915(x85571,x85571),a904)),x85572),x85573))
% 201.98/201.92 [8586]~P52(x85861,x85862)+~P105(f844(f844(f328(f915(x85861,x85861)),f844(f844(f251(x85861,x85861),x85863),x85863)),x85862))
% 201.98/201.92 [8588]~P36(x85881,x85882)+~P105(f844(f844(f328(f915(x85881,x85881)),f844(f844(f251(x85881,x85881),x85883),x85883)),x85882))
% 201.98/201.92 [8645]P105(f844(f844(f234(f916(x86451,a904)),f36(f916(x86451,a904),x86452)),f36(f916(x86451,a904),x86453)))+~P105(f844(f844(f234(f916(f916(x86451,a904),a904)),x86452),x86453))
% 201.98/201.92 [8646]P105(f844(f844(f234(f916(x86461,a904)),f37(f916(x86461,a904),x86462)),f37(f916(x86461,a904),x86463)))+~P105(f844(f844(f234(f916(f916(x86461,a904),a904)),x86463),x86462))
% 201.98/201.92 [8700]~P7(x87001,x87003,x87002)+P105(f844(f844(f234(f916(f915(x87001,x87001),a904)),x87002),f844(f844(f253(x87001,x87001),x87003),f844(f18(f916(x87001,a904),x87001),x87003))))
% 201.98/201.92 [8701]~P51(x87011,x87013,x87012)+P105(f844(f844(f234(f916(f915(x87011,x87011),a904)),x87012),f844(f844(f253(x87011,x87011),x87013),f844(f18(f916(x87011,a904),x87011),x87013))))
% 201.98/201.92 [8750]~P86(x87501)+P105(f844(f844(f234(x87501),f844(f844(f3(x87501),f844(f75(x87501),x87502)),f844(f75(x87501),x87503))),f844(f75(x87501),f844(f844(f3(x87501),x87503),x87502))))
% 201.98/201.92 [8751]~P86(x87511)+P105(f844(f844(f234(x87511),f844(f844(f3(x87511),f844(f75(x87511),x87512)),f844(f75(x87511),x87513))),f844(f75(x87511),f844(f844(f3(x87511),x87512),x87513))))
% 201.98/201.92 [8783]P105(f844(f844(f234(f916(f915(x87831,x87831),a904)),f306(x87831,x87832)),f306(x87831,x87833)))+~P105(f844(f844(f234(f916(f915(x87831,x87831),a904)),x87832),x87833))
% 201.98/201.92 [8894]~P24(x88942,x88941,x88943,f241(f916(x88942,a904)))+E(f844(f72(x88941,x88942,x88942,f90(x88942,x88941,f241(f916(x88942,a904)),x88943)),x88943),f31(x88942))
% 201.98/201.92 [8954]P54(x89541,x89542,x89543)+~P54(x89541,x89542,f844(f844(f3(f916(f915(x89541,x89541),a904)),x89543),f306(x89541,f188(f916(f915(x89541,x89541),a904)))))
% 201.98/201.92 [8974]P105(f844(f844(f234(f916(f915(f909(x89741),f909(x89741)),a904)),f157(x89741,x89742)),f157(x89741,x89743)))+~P105(f844(f844(f234(f916(f915(x89741,x89741),a904)),x89742),x89743))
% 201.98/201.92 [8975]P105(f844(f844(f234(f916(f915(f909(x89751),f909(x89751)),a904)),f158(x89751,x89752)),f158(x89751,x89753)))+~P105(f844(f844(f234(f916(f915(x89751,x89751),a904)),x89752),x89753))
% 201.98/201.92 [8996]~P51(x89961,x89963,x89962)+P105(f844(f844(f234(f916(f915(x89961,x89961),a904)),x89962),f844(f844(f288(x89961,x89961,x89961),f844(f285(x89961,x89961),x89962)),x89962)))
% 201.98/201.92 [9048]~P105(f844(f137(x90481),x90482))+E(f844(f136(x90481,f844(f844(f9(x90481,f916(x90481,a904),a904),f328(x90481)),f844(f172(x90481),f176(x90481,x90482,x90483)))),x90482),f176(x90481,x90482,x90483))
% 201.98/201.92 [9101]E(x91011,x91012)+~P105(f844(f844(f328(f915(x91013,x91013)),f844(f844(f251(x91013,x91013),x91011),x91012)),f306(x91013,f188(f916(f915(x91013,x91013),a904)))))
% 201.98/201.92 [9183]P105(f844(f844(f328(x91831),x91832),f315(x91831,x91833)))+P105(f844(f844(f328(f915(x91831,x91831)),f844(f844(f251(x91831,x91831),f514(x91833,x91832,x91831)),x91832)),x91833))
% 201.98/201.92 [9184]P105(f844(f844(f328(x91841),x91842),f315(x91841,x91843)))+P105(f844(f844(f328(f915(x91841,x91841)),f844(f844(f251(x91841,x91841),f587(x91843,x91842,x91841)),x91842)),x91843))
% 201.98/201.92 [9185]P105(f844(f844(f328(x91851),x91852),f315(x91851,x91853)))+P105(f844(f844(f328(f915(x91851,x91851)),f844(f844(f251(x91851,x91851),f590(x91853,x91852,x91851)),x91852)),x91853))
% 201.98/201.92 [9221]P24(x92211,x92212,x92213,f241(f916(x92211,a904)))+~E(f844(f72(x92212,x92211,x92211,f90(x92211,x92212,f241(f916(x92211,a904)),x92213)),x92213),f31(x92211))
% 201.98/201.92 [9274]~P105(f844(f844(f328(f909(x92741)),x92743),f161(x92741,x92742)))+P105(f844(f160(x92741,f844(f844(f9(x92741,f916(x92741,a904),a904),f328(x92741)),x92742)),x92743))
% 201.98/201.92 [9297]P105(f844(x92973,x92972))+E(f844(f261(x92971),f844(f844(f20(x92971,a904,a904),f844(f844(f10(a904,f916(a904,a904),x92971),a325),f844(a324,x92972))),x92973)),f188(f916(x92971,a904)))
% 201.98/201.92 [9313]~P86(x93131)+P105(f844(f844(f234(x93131),f844(f75(x93131),f844(f844(f3(x93131),f844(f75(x93131),x93132)),f844(f75(x93131),x93133)))),f844(f75(x93131),f844(f844(f3(x93131),x93132),x93133))))
% 201.98/201.92 [9327]~P105(f844(x93273,x93272))+E(f844(f261(x93271),f844(f844(f20(x93271,a904,a904),f844(f844(f10(a904,f916(a904,a904),x93271),a325),f844(a324,x93272))),x93273)),f844(f844(f308(x93271),x93272),f188(f916(x93271,a904))))
% 201.98/201.92 [9334]~P105(f844(f844(f328(f916(x93341,a904)),x93343),f844(f307(x93341),x93342)))+P105(f844(f247(x93341,f844(f844(f9(x93341,f916(x93341,a904),a904),f328(x93341)),x93342)),x93343))
% 201.98/201.92 [9370]P36(x93701,x93702)+P105(f844(f844(f328(f915(x93701,x93701)),f844(f844(f251(x93701,x93701),f844(f555(x93702,x93701),f844(a112,x93703))),f844(f555(x93702,x93701),x93703))),x93702))
% 201.98/201.92 [9510]P105(f844(f844(f328(f909(x95101)),x95102),f161(x95101,x95103)))+~P105(f844(f160(x95101,f844(f844(f9(x95101,f916(x95101,a904),a904),f328(x95101)),x95103)),x95102))
% 201.98/201.92 [9523]P105(f844(f844(f328(f916(x95231,a904)),x95232),f844(f307(x95231),x95233)))+~P105(f844(f247(x95231,f844(f844(f9(x95231,f916(x95231,a904),a904),f328(x95231)),x95233)),x95232))
% 201.98/201.92 [9583]P105(f844(f844(f328(x95831),f844(f267(x95831,x95832),x95833)),f844(f172(x95831),f844(f844(f154(f915(a99,x95831),x95831),f255(a99,x95831)),x95832))))+~P105(f844(f844(f235(a99),x95833),f844(f165(a99),f844(f844(f154(f915(a99,x95831),a99),f250(a99,x95831)),x95832))))
% 201.98/201.92 [9629]P105(f844(f844(f234(f916(f915(f909(x96291),f909(x96291)),a904)),f158(x96291,x96292)),f844(f844(f253(f909(x96291),f909(x96291)),f161(x96291,x96293)),f844(f18(f916(f909(x96291),a904),f909(x96291)),f161(x96291,x96293)))))+~P105(f844(f844(f234(f916(f915(x96291,x96291),a904)),x96292),f844(f844(f253(x96291,x96291),x96293),f844(f18(f916(x96291,a904),x96291),x96293))))
% 201.98/201.92 [9653]P105(f844(f844(f328(x96531),f844(f250(x96531,f915(a99,a99)),f844(f265(x96531,x96532),x96533))),f844(f172(x96531),f844(f844(f154(f915(a99,x96531),x96531),f255(a99,x96531)),x96532))))+~P105(f844(f844(f235(a99),f2(a99)),f844(f165(a99),f844(f844(f154(f915(a99,x96531),a99),f250(a99,x96531)),x96532))))
% 201.98/201.92 [9668]~P105(f844(f844(f234(f916(f915(x96681,x96681),a904)),x96682),f844(f844(f253(x96681,x96681),x96683),f844(f18(f916(x96681,a904),x96681),x96683))))+P105(f844(f844(f234(f916(f915(x96681,x96681),a904)),f844(f844(f288(x96681,x96681,x96681),x96682),f306(x96681,x96682))),f844(f844(f253(x96681,x96681),x96683),f844(f18(f916(x96681,a904),x96681),x96683))))
% 201.98/201.92 [9967]~P36(x99671,x99672)+~P105(f844(f844(f328(f915(x99671,x99671)),f844(f844(f251(x99671,x99671),f844(x99673,f844(a112,f556(x99672,x99671,x99673)))),f844(x99673,f556(x99672,x99671,x99673)))),x99672))
% 201.98/201.92 [9968]~P36(x99681,x99682)+~P105(f844(f844(f328(f915(x99681,x99681)),f844(f844(f251(x99681,x99681),f844(x99683,f844(a112,f594(x99683,x99682,x99681)))),f844(x99683,f594(x99683,x99682,x99681)))),x99682))
% 201.98/201.92 [10224]P105(f844(f844(f234(f916(f915(f916(x102241,a904),f916(x102241,a904)),a904)),f844(f844(f288(f916(x102241,a904),f916(x102241,a904),f916(x102241,a904)),f319(x102241,x102242)),f844(f844(f110(f916(f915(f916(x102241,a904),f916(x102241,a904)),a904)),f319(x102241,x102243)),f844(f844(f308(f915(f916(x102241,a904),f916(x102241,a904))),f844(f844(f251(f916(x102241,a904),f916(x102241,a904)),f188(f916(x102241,a904))),f188(f916(x102241,a904)))),f188(f916(f915(f916(x102241,a904),f916(x102241,a904)),a904)))))),f319(x102241,x102242)))+~P105(f844(f844(f234(f916(f915(x102241,x102241),a904)),f844(f844(f288(x102241,x102241,x102241),x102242),x102243)),x102242))
% 201.98/201.92 [10225]P105(f844(f844(f234(f916(f915(f916(x102251,a904),f916(x102251,a904)),a904)),f844(f844(f288(f916(x102251,a904),f916(x102251,a904),f916(x102251,a904)),f317(x102251,x102252)),f844(f844(f110(f916(f915(f916(x102251,a904),f916(x102251,a904)),a904)),f317(x102251,x102253)),f844(f844(f308(f915(f916(x102251,a904),f916(x102251,a904))),f844(f844(f251(f916(x102251,a904),f916(x102251,a904)),f188(f916(x102251,a904))),f188(f916(x102251,a904)))),f188(f916(f915(f916(x102251,a904),f916(x102251,a904)),a904)))))),f317(x102251,x102252)))+~P105(f844(f844(f234(f916(f915(x102251,x102251),a904)),f844(f844(f288(x102251,x102251,x102251),x102252),x102253)),x102252))
% 201.98/201.92 [7425]~P105(f844(f844(f234(a908),x74252),x74251))+E(f844(f844(f3(a908),f844(a112,f844(f844(f3(a908),x74251),x74252))),x74253),f844(f844(f3(a908),f844(a112,x74251)),f844(f844(f79(a908),x74252),x74253)))
% 201.98/201.92 [7464]~P59(x74641)+E(f844(f844(f79(x74641),f44(x74641,x74642,x74643)),f844(f844(f80(x74641),f844(f844(f35(x74641),x74642),x74643)),x74643)),x74642)
% 201.98/201.92 [7660]E(f844(f844(f80(a908),f844(f103(a908),x76601)),f844(f844(f80(a908),f844(f103(a908),x76602)),x76603)),f844(f844(f80(a908),f844(f103(a908),f844(f844(f80(a1),x76601),x76602))),x76603))+P105(f844(f844(f235(a1),x76601),a82))
% 201.98/201.92 [8117]~P105(f844(f844(f234(a908),x81173),x81172))+P105(f844(f844(f234(a908),x81171),f844(f844(f3(a908),f844(f844(f79(a908),x81172),x81171)),x81173)))
% 201.98/201.92 [8312]~P105(f844(f844(f234(a908),x83121),x83122))+E(f844(f844(f134(a908),f139(a908,f844(f301(a908,x83121),x83122))),f139(a908,f844(f301(a908,x83122),f844(f844(f79(a908),x83122),x83123)))),f139(a908,f844(f301(a908,x83121),f844(f844(f79(a908),x83122),x83123))))
% 201.98/201.92 [8565]~P105(f844(f60(x85651),x85652))+E(f844(a112,f844(f34(x85651),f844(f844(f3(f916(x85651,a904)),x85652),f844(f844(f308(x85651),x85653),f188(f916(x85651,a904)))))),f844(f34(x85651),f844(f844(f308(x85651),x85653),x85652)))
% 201.98/201.92 [8604]~P105(f844(f60(x86041),x86042))+E(f844(f844(f79(a908),f77(a908)),f844(f34(x86041),f844(f844(f3(f916(x86041,a904)),x86042),f844(f844(f308(x86041),x86043),f188(f916(x86041,a904)))))),f844(f34(x86041),f844(f844(f308(x86041),x86043),x86042)))
% 201.98/201.92 [8792]E(f844(f844(f3(a908),f844(f34(x87921),x87922)),f844(f34(x87921),f844(f844(f101(f916(x87921,a904)),x87922),x87923))),f844(f34(x87921),f844(f844(f3(f916(x87921,a904)),x87922),x87923)))+~P105(f844(f60(x87921),f844(f844(f101(f916(x87921,a904)),x87922),x87923)))
% 201.98/201.92 [9043]~P5(f844(x90432,f391(x90432,x90433,x90431)))+E(f844(f100(a1),f844(f844(f8(x90431,a908),f844(f844(f10(a1,a908,x90431),a104),x90432)),x90433)),f844(f844(f8(x90431,a1),x90432),x90433))
% 201.98/201.92 [9044]~P5(f844(x90442,f392(x90442,x90443,x90441)))+E(f844(f100(a1),f844(f844(f11(x90441,a908),f844(f844(f10(a1,a908,x90441),a104),x90442)),x90443)),f844(f844(f11(x90441,a1),x90442),x90443))
% 201.98/201.92 [9084]~P105(f844(f60(x90841),x90843))+P105(f844(f844(f234(a908),f844(f844(f3(a908),f844(f34(x90841),x90842)),f844(f34(x90841),x90843))),f844(f34(x90841),f844(f844(f3(f916(x90841,a904)),x90842),x90843))))
% 201.98/201.92 [9111]P105(f844(f844(f328(x91111),f391(x91112,x91113,x91111)),x91113))+E(f844(f100(a1),f844(f844(f8(x91111,a908),f844(f844(f10(a1,a908,x91111),a104),x91112)),x91113)),f844(f844(f8(x91111,a1),x91112),x91113))
% 201.98/201.92 [9112]P105(f844(f844(f328(x91121),f392(x91122,x91123,x91121)),x91123))+E(f844(f100(a1),f844(f844(f11(x91121,a908),f844(f844(f10(a1,a908,x91121),a104),x91122)),x91123)),f844(f844(f11(x91121,a1),x91122),x91123))
% 201.98/201.92 [9175]E(f84(x91751,f844(f844(f9(x91751,f916(x91751,a904),a904),f328(x91751)),f844(f844(f3(f916(x91751,a904)),x91752),f844(f844(f308(x91751),x91753),f188(f916(x91751,a904)))))),f246(x91751,x91753,x91752))+P105(f844(f844(f234(f916(x91751,a904)),x91752),f844(f844(f308(x91751),x91753),f188(f916(x91751,a904)))))
% 201.98/201.92 [9524]E(f844(f844(f154(f909(x95241),x95241),f844(f844(f9(f909(x95241),a908,x95241),f164(x95241)),x95242)),f844(f136(f909(x95241),f844(f844(f10(a908,a904,f909(x95241)),f844(f235(a908),x95242)),f189(f909(x95241)))),x95243)),f844(f844(f164(f909(x95241)),f179(x95241,x95243)),x95242))+~P105(f844(f844(f235(a908),x95242),f844(f189(f909(f909(x95241))),f179(x95241,x95243))))
% 201.98/201.92 [9603]E(f844(f136(x96031,x96032),x96033),f177(x96031,x96032,x96033))+P105(f844(f844(f328(x96031),f711(x96033,x96032,x96031)),f844(f172(x96031),f844(f844(f138(x96031),f844(f189(f909(x96031)),f177(x96031,x96032,x96033))),x96033))))
% 201.98/201.92 [9741]E(f844(f844(f138(x97411),f844(f189(f909(x97411)),f177(x97411,x97412,x97413))),x97413),f113(x97411))+~P105(f844(x97412,f844(f141(x97411),f844(f844(f138(x97411),f844(f189(f909(x97411)),f177(x97411,x97412,x97413))),x97413))))
% 201.98/201.92 [9834]~P105(f844(f844(f328(f915(x98341,x98341)),x98342),f306(x98341,x98343)))+P105(f844(f844(f328(f915(x98341,x98341)),x98342),f844(f844(f39(a908,f916(f915(x98341,x98341),a904)),f241(f916(a908,a904))),f844(f844(f9(a908,f916(f915(x98341,x98341),a904),f916(f915(x98341,x98341),a904)),f183(f915(x98341,x98341),a904)),x98343))))
% 201.98/201.92 [9894]~P105(f844(f844(f234(f916(x98941,a904)),f844(f844(f39(a908,f916(x98941,a904)),f844(f301(a908,f2(a908)),f471(x98943,x98942,x98941))),x98942)),x98943))+P105(f844(f844(f234(f916(x98941,a904)),f844(f844(f39(a908,f916(x98941,a904)),f241(f916(a908,a904))),x98942)),x98943))
% 201.98/201.92 [9940]~P105(f844(f844(f235(a1),f2(a1)),x99403))+P105(f844(f844(f235(a1),x99401),f844(f844(f79(a1),x99402),f844(f844(f80(a1),f844(f844(f79(a1),f844(f75(a1),f844(f844(f3(a1),x99402),x99401))),f77(a1))),x99403))))
% 201.98/201.92 [9954]~P36(x99541,f844(f844(f110(f916(f915(x99541,x99541),a904)),x99542),x99543))+P36(x99541,f844(f844(f110(f916(f915(x99541,x99541),a904)),f844(f844(f110(f916(f915(x99541,x99541),a904)),f844(f844(f288(x99541,x99541,x99541),x99542),x99542)),f844(f844(f288(x99541,x99541,x99541),x99543),x99542))),x99543))
% 201.98/201.92 [10030]P36(x100301,f844(f844(f110(f916(f915(x100301,x100301),a904)),x100302),x100303))+~P36(x100301,f844(f844(f110(f916(f915(x100301,x100301),a904)),f844(f844(f110(f916(f915(x100301,x100301),a904)),f844(f844(f288(x100301,x100301,x100301),x100302),x100302)),f844(f844(f288(x100301,x100301,x100301),x100303),x100302))),x100303))
% 201.98/201.92 [9606]~P140(x96061)+E(f844(f102(x96061),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x96062),x96063)),f188(f916(f915(a908,a908),a904)))))),f844(f844(f3(x96061),f844(f100(x96061),x96062)),f844(f100(x96061),x96063)))
% 201.98/201.92 [9688]P105(f844(x96883,x96882))+E(f844(f261(x96881),f844(f844(f20(x96881,a904,a904),f844(f844(f10(a904,f916(a904,a904),x96881),a325),f844(f844(f9(x96881,x96881,a904),a324),x96882))),x96883)),f188(f916(x96881,a904)))
% 201.98/201.92 [9690]~P105(f844(x96903,x96902))+E(f844(f261(x96901),f844(f844(f20(x96901,a904,a904),f844(f844(f10(a904,f916(a904,a904),x96901),a325),f844(f844(f9(x96901,x96901,a904),a324),x96902))),x96903)),f844(f844(f308(x96901),x96902),f188(f916(x96901,a904))))
% 201.98/201.92 [9920]E(x99201,x99202)+P105(f844(f844(f242(x99203,x99203,f844(f844(f10(f916(x99203,a904),f916(x99203,a904),x99203),f844(f10(a904,a904,x99203),a321)),a324)),x99201),x99202))
% 201.98/201.92 [10009]~E(x100091,x100092)+~P105(f844(f844(f242(x100093,x100093,f844(f844(f10(f916(x100093,a904),f916(x100093,a904),x100093),f844(f10(a904,a904,x100093),a321)),a324)),x100091),x100092))
% 201.98/201.92 [10022]~P105(f844(f60(x100221),x100223))+E(f844(f844(f63(x100221,f916(x100221,a904),f844(f844(f10(f916(x100221,a904),f916(f916(x100221,a904),f916(x100221,a904)),x100221),f844(f9(f916(x100221,a904),f916(x100221,a904),f916(x100221,a904)),f3(f916(x100221,a904)))),f844(f844(f9(x100221,f916(x100221,a904),f916(x100221,a904)),f308(x100221)),f188(f916(x100221,a904))))),x100222),x100223),f844(f844(f3(f916(x100221,a904)),x100222),x100223))
% 201.98/201.92 [10052]~P105(f844(f844(f235(a1),f2(a1)),x100523))+P105(f844(f844(f235(a1),f844(f844(f3(a1),x100521),f844(f844(f80(a1),f844(f844(f79(a1),f844(f75(a1),f844(f844(f3(a1),x100521),x100522))),f77(a1))),x100523))),x100522))
% 201.98/201.92 [10308]~P105(f844(f844(f328(x103081),x103083),f315(x103081,x103082)))+P105(f844(f314(x103081,f844(f844(f9(x103081,f916(f915(x103081,x103081),a904),f916(x103081,a904)),f844(f844(f10(f916(x103081,f916(f916(f915(x103081,x103081),a904),a904)),f916(f916(f915(x103081,x103081),a904),f916(x103081,a904)),x103081),f9(x103081,f916(f915(x103081,x103081),a904),a904)),f844(f844(f10(f916(x103081,f915(x103081,x103081)),f916(x103081,f916(f916(f915(x103081,x103081),a904),a904)),x103081),f844(f10(f915(x103081,x103081),f916(f916(f915(x103081,x103081),a904),a904),x103081),f328(f915(x103081,x103081)))),f251(x103081,x103081)))),x103082)),x103083))
% 201.98/201.92 [10321]P105(f844(f844(f328(x103211),x103212),f315(x103211,x103213)))+~P105(f844(f314(x103211,f844(f844(f9(x103211,f916(f915(x103211,x103211),a904),f916(x103211,a904)),f844(f844(f10(f916(x103211,f916(f916(f915(x103211,x103211),a904),a904)),f916(f916(f915(x103211,x103211),a904),f916(x103211,a904)),x103211),f9(x103211,f916(f915(x103211,x103211),a904),a904)),f844(f844(f10(f916(x103211,f915(x103211,x103211)),f916(x103211,f916(f916(f915(x103211,x103211),a904),a904)),x103211),f844(f10(f915(x103211,x103211),f916(f916(f915(x103211,x103211),a904),a904),x103211),f328(f915(x103211,x103211)))),f251(x103211,x103211)))),x103213)),x103212))
% 201.98/201.92 [9892]~P105(f844(f60(x98921),f844(f261(x98921),x98923)))+P105(f844(f60(x98921),f844(f261(x98921),f844(f844(f20(x98921,a904,a904),f844(f844(f10(a904,f916(a904,a904),x98921),a325),x98922)),x98923))))
% 201.98/201.92 [9893]~P105(f844(f60(x98931),f844(f261(x98931),x98932)))+P105(f844(f60(x98931),f844(f261(x98931),f844(f844(f20(x98931,a904,a904),f844(f844(f10(a904,f916(a904,a904),x98931),a325),x98932)),x98933))))
% 201.98/201.92 [9988]P105(f844(f60(x99881),f844(f261(x99881),x99882)))+~P105(f844(f60(x99881),f844(f261(x99881),f844(f844(f20(x99881,a904,a904),f844(f844(f10(a904,f916(a904,a904),x99881),a326),x99883)),x99882))))
% 201.98/201.92 [9989]P105(f844(f60(x99891),f844(f261(x99891),x99892)))+~P105(f844(f60(x99891),f844(f261(x99891),f844(f844(f20(x99891,a904,a904),f844(f844(f10(a904,f916(a904,a904),x99891),a326),x99892)),x99893))))
% 201.98/201.92 [10287]~P105(f844(f60(x102871),x102872))+P105(f844(f60(f909(x102871)),f844(f261(f909(x102871)),f844(f844(f20(f909(x102871),a904,a904),f844(f844(f10(a904,f916(a904,a904),f909(x102871)),a325),f844(f844(f9(f909(x102871),f916(x102871,a904),a904),f844(f844(f10(f916(x102871,a904),f916(f916(x102871,a904),a904),f909(x102871)),f234(f916(x102871,a904))),f172(x102871))),x102872))),f844(f844(f9(f909(x102871),a908,a904),f844(f844(f10(a908,f916(a908,a904),f909(x102871)),a324),f189(f909(x102871)))),x102873)))))
% 201.98/201.92 [10288]~P105(f844(f60(x102881),x102882))+P105(f844(f60(f909(x102881)),f844(f261(f909(x102881)),f844(f844(f20(f909(x102881),a904,a904),f844(f844(f10(a904,f916(a904,a904),f909(x102881)),a325),f844(f844(f9(f909(x102881),f916(x102881,a904),a904),f844(f844(f10(f916(x102881,a904),f916(f916(x102881,a904),a904),f909(x102881)),f234(f916(x102881,a904))),f172(x102881))),x102882))),f844(f844(f9(f909(x102881),a908,a904),f844(f844(f10(a908,f916(a908,a904),f909(x102881)),f234(a908)),f189(f909(x102881)))),x102883)))))
% 201.98/201.92 [10002]~P112(x100021)+E(f844(f844(f243(x100021),x100022),f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100023)),f844(f844(f80(x100021),f844(f844(f243(x100021),x100022),x100023)),f844(f844(f243(x100021),x100022),x100023)))
% 201.98/201.92 [10033]~P81(x100331)+E(f844(f844(f243(x100331),f844(f844(f243(x100331),x100332),x100333)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f844(f243(x100331),x100332),f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100333)))
% 201.98/201.92 [10090]~P140(x100901)+E(f844(f844(f243(x100901),f844(f78(x100901),x100902)),f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100903)),f844(f844(f243(x100901),x100902),f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100903)))
% 201.98/201.92 [10232]~P118(x102321)+P105(f844(f844(f234(x102321),f2(x102321)),f844(f844(f79(x102321),f844(f844(f243(x102321),x102322),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x102321),x102323),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))))
% 201.98/201.92 [10100]~P112(x101001)+E(f844(f844(f243(x101001),x101002),f844(a112,f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x101003))),f844(f844(f80(x101001),x101002),f844(f844(f80(x101001),f844(f844(f243(x101001),x101002),x101003)),f844(f844(f243(x101001),x101002),x101003))))
% 201.98/201.92 [10150]~P81(x101501)+E(f844(f844(f80(x101501),x101502),f844(f844(f243(x101501),f844(f844(f243(x101501),x101502),x101503)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x101501),x101502),f844(a112,f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x101503))))
% 201.98/201.92 [10189]~P118(x101891)+P105(f844(f844(f234(x101891),f2(x101891)),f844(f844(f243(x101891),x101892),f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x101893))))
% 201.98/201.92 [10263]~P94(x102631)+E(f844(f844(f3(x102631),f844(f844(f79(x102631),f844(f844(f243(x102631),x102632),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x102631),x102633),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))),f844(f844(f80(x102631),f844(f844(f80(x102631),f844(f103(x102631),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x102632)),x102633)),f844(f844(f243(x102631),f844(f844(f3(x102631),x102632),x102633)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 201.98/201.92 [10264]~P94(x102641)+E(f844(f844(f79(x102641),f844(f844(f79(x102641),f844(f844(f243(x102641),x102642),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x102641),x102643),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))),f844(f844(f80(x102641),f844(f844(f80(x102641),f844(f103(x102641),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x102642)),x102643)),f844(f844(f243(x102641),f844(f844(f79(x102641),x102642),x102643)),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 201.98/201.92 [4797]E(x47971,x47972)+~E(f30(x47973,x47971),f30(x47974,x47972))
% 201.98/201.92 [4798]E(x47981,x47982)+~E(f30(x47981,x47983),f30(x47982,x47984))
% 201.98/201.92 [4799]E(x47991,x47992)+~E(f29(x47993,x47991),f29(x47994,x47992))
% 201.98/201.92 [4800]E(x48001,x48002)+~E(f29(x48001,x48003),f29(x48002,x48004))
% 201.98/201.92 [7921]P24(x79211,x79212,x79213,x79214)+~E(f501(x79214,x79213,x79212,x79211),f508(x79214,x79213,x79212,x79211))
% 201.98/201.92 [8208]P33(x82081,x82082,x82083,x82084,f113(x82082))+~E(x82084,f113(x82081))
% 201.98/201.92 [8209]P33(x82091,x82092,x82093,f113(x82091),x82094)+~E(x82094,f113(x82092))
% 201.98/201.92 [8740]~P33(x87402,x87403,x87404,x87401,f113(x87403))+E(x87401,f113(x87402))
% 201.98/201.92 [8741]~P33(x87413,x87412,x87414,f113(x87413),x87411)+E(x87411,f113(x87412))
% 201.98/201.92 [5185]~P16(x51853,x51851,x51854)+E(f844(f844(x51851,x51852),x51852),x51852)
% 201.98/201.92 [5438]P105(f844(x54382,x54384))+E(f844(f136(x54381,x54382),f169(x54381,x54383,x54384)),f113(x54381))
% 201.98/201.92 [5475]~E(x54754,f188(f916(x54751,a904)))+E(f844(f309(x54751,x54752,x54753),x54754),f188(f916(x54752,a904)))
% 201.98/201.92 [5719]~P105(f844(x57192,x57194))+E(f844(f136(x57191,x57192),f169(x57191,x57193,x57194)),f169(x57191,x57193,x57194))
% 201.98/201.92 [5749]~E(f844(f309(x57492,x57493,x57494),x57491),f188(f916(x57493,a904)))+E(x57491,f188(f916(x57492,a904)))
% 201.98/201.92 [5936]~P6(x59361,x59363)+E(f270(x59361,x59362,f269(x59361,x59363),x59364),x59364)
% 201.98/201.92 [6048]~P108(x60482)+E(f844(f844(f148(x60481,x60482,x60483),x60484),f113(x60481)),f844(f844(f151(x60481),x60484),f113(x60481)))
% 201.98/201.92 [6409]~E(x64091,f188(f916(x64092,a904)))+~P105(f844(f61(x64092,x64093,x64091),x64094))
% 201.98/201.92 [6431]~P57(x64311,x64313,x64314,x64312)+P105(f844(f60(x64311),x64312))
% 201.98/201.92 [6433]~P57(x64331,x64333,x64332,x64334)+P105(f844(f60(x64331),x64332))
% 201.98/201.92 [6440]~P57(x64402,x64403,x64404,x64401)+~E(x64401,f188(f916(x64402,a904)))
% 201.98/201.92 [6474]~P109(x64741)+E(f844(f844(f101(f916(x64741,a904)),f844(f301(x64741,x64742),x64743)),f302(x64741,x64743,x64744)),f188(f916(x64741,a904)))
% 201.98/201.92 [6502]~P105(f844(f844(x65023,x65024),x65022))+P105(f844(f844(f328(x65021),x65022),f293(x65021,x65023,x65024)))
% 201.98/201.92 [6503]~P105(f844(f844(x65033,x65034),x65032))+P105(f844(f844(f328(x65031),x65032),f294(x65031,x65033,x65034)))
% 201.98/201.92 [6504]~P105(f844(f844(x65043,x65042),x65044))+P105(f844(f844(f328(x65041),x65042),f295(x65041,x65043,x65044)))
% 201.98/201.92 [6505]~P105(f844(f844(x65053,x65052),x65054))+P105(f844(f844(f328(x65051),x65052),f297(x65051,x65053,x65054)))
% 201.98/201.92 [6646]~P109(x66461)+E(f844(f844(f101(f916(x66461,a904)),f302(x66461,x66462,x66463)),f305(x66461,x66463,x66464)),f188(f916(x66461,a904)))
% 201.98/201.92 [6647]~P109(x66471)+E(f844(f844(f101(f916(x66471,a904)),f302(x66471,x66472,x66473)),f304(x66471,x66473,x66474)),f188(f916(x66471,a904)))
% 201.98/201.92 [6648]~P109(x66481)+E(f844(f844(f101(f916(x66481,a904)),f305(x66481,x66482,x66483)),f302(x66481,x66483,x66484)),f188(f916(x66481,a904)))
% 201.98/201.92 [6649]~P109(x66491)+E(f844(f844(f101(f916(x66491,a904)),f304(x66491,x66492,x66493)),f305(x66491,x66493,x66494)),f188(f916(x66491,a904)))
% 201.98/201.92 [6650]~P109(x66501)+E(f844(f844(f101(f916(x66501,a904)),f304(x66501,x66502,x66503)),f304(x66501,x66503,x66504)),f188(f916(x66501,a904)))
% 201.98/201.92 [6688]P105(f844(f844(x66881,x66882),f554(x66882,x66881)))+~P105(f844(f248(x66883,x66884,x66881),x66882))
% 201.98/201.92 [6770]~P108(x67702)+E(f844(f172(x67701),f150(x67701,x67702,x67703,x67704)),f844(f172(x67701),x67704))
% 201.98/201.92 [6823]~P143(x68231)+E(f190(x68231,x68232,f844(a112,x68233),x68234),f190(x68231,x68232,x68233,f844(x68232,x68234)))
% 201.98/201.92 [6887]~P105(f844(f844(f328(x68874),x68873),f293(x68874,x68871,x68872)))+P105(f844(f844(x68871,x68872),x68873))
% 201.98/201.92 [6888]~P105(f844(f844(f328(x68884),x68883),f294(x68884,x68881,x68882)))+P105(f844(f844(x68881,x68882),x68883))
% 201.98/201.92 [6889]~P105(f844(f844(f328(x68894),x68892),f295(x68894,x68891,x68893)))+P105(f844(f844(x68891,x68892),x68893))
% 201.98/201.92 [6890]~P105(f844(f844(f328(x68904),x68902),f297(x68904,x68901,x68903)))+P105(f844(f844(x68901,x68902),x68903))
% 201.98/201.92 [6964]E(f844(f34(f914(x69641,x69642)),f312(x69641,x69642,x69643,x69644)),f2(a908))+P105(f844(f60(x69642),x69644))
% 201.98/201.92 [6965]E(f844(f34(f914(x69651,x69652)),f312(x69651,x69652,x69653,x69654)),f2(a908))+P105(f844(f60(x69651),x69653))
% 201.98/201.92 [7167]~P13(x71674,x71671,x71672)+E(f844(f72(x71671,x71671,x71671,f844(x71672,x71673)),f844(x71672,x71673)),f844(x71672,x71673))
% 201.98/201.92 [7407]E(f276(x74071,x74072,x74073,x74074),f844(f251(f916(a99,f916(a904,f912(f910(x74071)))),f915(a99,a99)),f40(x74071)))+~P105(f844(f844(f234(a99),x74073),f2(a99)))
% 201.98/201.92 [8040]~E(x80402,x80403)+P105(f844(f844(f328(f915(x80401,x80401)),f844(f844(f251(x80401,x80401),x80402),x80403)),f306(x80401,x80404)))
% 201.98/201.92 [8069]~P24(x80691,x80692,x80693,f241(f916(x80691,a904)))+E(f844(f76(x80691,x80692,f241(f916(x80691,a904)),x80693),f844(x80693,x80694)),x80694)
% 201.98/201.92 [8070]~P24(x80701,x80702,x80703,f241(f916(x80701,a904)))+E(f844(f90(x80701,x80702,f241(f916(x80701,a904)),x80703),f844(x80703,x80704)),x80704)
% 201.98/201.92 [8157]~P105(f844(f844(f328(f909(x81571)),f844(f844(f151(x81571),x81574),x81572)),f161(x81571,x81573)))+P105(f844(f844(f328(f909(x81571)),x81572),f161(x81571,x81573)))
% 201.98/201.92 [8158]~P105(f844(f844(f328(f909(x81581)),f844(f844(f134(x81581),x81584),x81582)),f161(x81581,x81583)))+P105(f844(f844(f328(f909(x81581)),x81582),f161(x81581,x81583)))
% 201.98/201.92 [8159]~P105(f844(f844(f328(f909(x81591)),f844(f844(f134(x81591),x81592),x81594)),f161(x81591,x81593)))+P105(f844(f844(f328(f909(x81591)),x81592),f161(x81591,x81593)))
% 201.98/201.92 [8170]~P108(x81701)+P12(x81701,f844(f844(f154(x81702,x81701),x81703),f150(x81702,x81701,x81703,x81704)))
% 201.98/201.92 [8270]P24(x82704,x82703,x82701,x82702)+E(f844(x82701,f501(x82702,x82701,x82703,x82704)),f844(x82701,f508(x82702,x82701,x82703,x82704)))
% 201.98/201.92 [8376]~P24(x83762,x83761,x83764,x83763)+P24(x83761,x83762,f76(x83762,x83761,x83763,x83764),f844(f309(x83762,x83761,x83764),x83763))
% 201.98/201.92 [8515]P36(f915(x85152,x85154),f279(x85152,x85154,x85151,x85153))+P105(f844(x85151,f559(x85152,x85153,x85154,x85151)))
% 201.98/201.92 [8629]E(x86291,x86292)+~P105(f844(f844(f328(f915(x86293,x86293)),f844(f844(f251(x86293,x86293),x86291),x86292)),f262(x86293,x86294)))
% 201.98/201.92 [8692]~P105(f844(f60(f914(x86923,x86921)),f312(x86923,x86921,x86924,x86922)))+P105(f844(f60(x86921),x86922))
% 201.98/201.92 [8693]~P105(f844(f60(f914(x86931,x86933)),f312(x86931,x86933,x86932,x86934)))+P105(f844(f60(x86931),x86932))
% 201.98/201.92 [8702]~P24(x87021,x87022,x87023,x87024)+P25(x87021,x87022,x87023,x87024,f844(f309(x87021,x87022,x87023),x87024))
% 201.98/201.92 [8703]P10(x87031,x87032,x87033,x87034)+~E(f844(x87034,f830(x87032,x87034,x87033,x87031)),f844(x87034,f831(x87032,x87034,x87033,x87031)))
% 201.98/201.92 [8793]~P25(x87932,x87933,x87934,x87931,f188(f916(x87933,a904)))+E(x87931,f188(f916(x87932,a904)))
% 201.98/201.92 [8794]~P25(x87943,x87942,x87944,f188(f916(x87943,a904)),x87941)+E(x87941,f188(f916(x87942,a904)))
% 201.98/201.92 [8886]P36(f915(x88861,x88862),f279(x88861,x88862,x88863,x88864))+~P36(x88862,f844(x88864,f559(x88861,x88864,x88862,x88863)))
% 201.98/201.92 [9446]E(f844(f844(f159(x94461,x94462),f657(x94463,x94464,x94462,x94461)),f658(x94463,x94464,x94462,x94461)),x94464)+~P105(f844(f844(f328(f915(f909(x94461),f909(x94461))),f844(f844(f251(f909(x94461),f909(x94461)),x94462),x94464)),f157(x94461,x94463)))
% 201.98/201.92 [9451]~P105(f844(f844(f328(f915(f909(x94511),f909(x94511))),f844(f844(f251(f909(x94511),f909(x94511)),x94512),x94513)),f145(x94511,x94514)))+P105(f844(f844(f328(f915(f909(x94511),f909(x94511))),f844(f844(f251(f909(x94511),f909(x94511)),x94512),x94513)),f147(x94511,x94514)))
% 201.98/201.92 [9560]P105(f844(f60(x95601),x95602))+~P105(f844(f844(f328(f915(f916(x95601,a904),f916(x95601,a904))),f844(f844(f251(f916(x95601,a904),f916(x95601,a904)),x95603),x95602)),f317(x95601,x95604)))
% 201.98/201.92 [9561]P105(f844(f60(x95611),x95612))+~P105(f844(f844(f328(f915(f916(x95611,a904),f916(x95611,a904))),f844(f844(f251(f916(x95611,a904),f916(x95611,a904)),x95612),x95613)),f317(x95611,x95614)))
% 201.98/201.92 [9564]~E(x95641,f188(f916(x95642,a904)))+~P105(f844(f844(f328(f915(f916(x95642,a904),f916(x95642,a904))),f844(f844(f251(f916(x95642,a904),f916(x95642,a904)),x95643),x95641)),f317(x95642,x95644)))
% 201.98/201.92 [10200]P10(x102001,x102002,x102003,x102004)+~P105(f844(f844(f256(x102001,x102001,a904),f844(f844(f9(x102001,f916(x102001,x102002),f916(x102001,a904)),f844(f844(f10(f916(x102002,a904),f916(f916(x102001,x102002),f916(x102001,a904)),x102001),f10(x102002,a904,x102001)),f844(f844(f10(x102002,f916(x102002,a904),x102001),a324),x102004))),x102004)),f566(x102004,x102003,x102002,x102001)))
% 201.98/201.92 [5083]~E(x50832,f113(x50831))+E(f844(f844(f159(x50831,x50832),x50833),x50834),f113(x50831))
% 201.98/201.92 [5084]~E(x50844,f113(x50841))+E(f844(f844(f154(x50841,x50842),x50843),x50844),f113(x50842))
% 201.98/201.92 [5318]E(x53181,f113(x53182))+~E(f844(f844(f154(x53182,x53183),x53184),x53181),f113(x53183))
% 201.98/201.92 [5319]E(x53191,f113(x53192))+~E(f844(f844(f159(x53192,x53191),x53193),x53194),f113(x53192))
% 201.98/201.92 [5357]E(x53571,x53572)+~E(f844(f844(f134(x53573),x53574),x53571),f844(f844(f134(x53573),x53574),x53572))
% 201.98/201.92 [5358]E(x53581,x53582)+~E(f844(f844(f134(x53583),x53581),x53584),f844(f844(f134(x53583),x53582),x53584))
% 201.98/201.92 [5511]P105(f844(x55113,x55112))+E(f170(x55111,x55112,f844(f136(x55111,x55113),x55114)),f844(f136(x55111,x55113),x55114))
% 201.98/201.92 [5513]~P105(f844(x55132,x55133))+P32(x55131,x55132,f844(f844(f151(x55131),x55133),x55134))
% 201.98/201.92 [5522]E(x55221,x55222)+~E(f139(a908,f844(f301(a908,x55221),x55223)),f844(f844(f151(a908),x55222),x55224))
% 201.98/201.92 [5571]~P26(x55712,x55713)+P26(x55711,f844(f844(f73(x55712,x55711),x55713),x55714))
% 201.98/201.92 [5572]~P36(x55722,x55723)+P36(x55721,f844(f844(f287(x55722,x55721),x55723),x55724))
% 201.98/201.92 [5573]~P37(x55732,x55733)+P37(x55731,f844(f844(f287(x55732,x55731),x55733),x55734))
% 201.98/201.92 [5574]~P50(x55742,x55743)+P50(x55741,f844(f844(f287(x55742,x55741),x55743),x55744))
% 201.98/201.92 [5703]~P32(x57031,x57032,x57034)+P32(x57031,x57032,f844(f844(f151(x57031),x57033),x57034))
% 201.98/201.92 [5704]~P32(x57041,x57042,x57044)+P32(x57041,x57042,f844(f844(f134(x57041),x57043),x57044))
% 201.98/201.92 [5705]~P32(x57051,x57052,x57053)+P32(x57051,x57052,f844(f844(f134(x57051),x57053),x57054))
% 201.98/201.92 [5792]~E(x57921,f113(x57922))+~E(f844(f844(f134(x57922),x57923),f844(f844(f151(x57922),x57924),f113(x57922))),x57921)
% 201.98/201.92 [5817]~P30(x58173,x58171,f844(f844(f151(x58173),x58172),x58174))+P105(f844(x58171,x58172))
% 201.98/201.92 [5827]E(f114(x58271,x58272),x58273)+~E(f844(f844(f134(x58271),x58273),f844(f844(f151(x58271),x58274),f113(x58271))),x58272)
% 201.98/201.92 [5828]E(f144(x58281,x58282),x58283)+~E(f844(f844(f134(x58281),x58284),f844(f844(f151(x58281),x58283),f113(x58281))),x58282)
% 201.98/201.92 [5938]~E(f139(a908,f844(f301(a908,x59381),x59382)),f844(f844(f151(a908),x59383),x59384))+P105(f844(f844(f235(a908),x59381),x59382))
% 201.98/201.92 [5956]P30(x59561,x59562,x59563)+~P30(x59561,x59562,f844(f844(f151(x59561),x59564),x59563))
% 201.98/201.92 [5957]P30(x59571,x59572,x59573)+~P30(x59571,x59572,f844(f844(f134(x59571),x59574),x59573))
% 201.98/201.92 [5958]P30(x59581,x59582,x59583)+~P30(x59581,x59582,f844(f844(f134(x59581),x59583),x59584))
% 201.98/201.92 [6151]E(x61511,f844(f844(f134(x61512),f844(f168(x61512),x61513)),f844(f844(f151(x61512),x61514),f113(x61512))))+~E(f844(f168(x61512),x61511),f844(f844(f151(x61512),x61514),x61513))
% 201.98/201.92 [6329]~P109(x63291)+E(f844(f844(f101(f916(x63291,a904)),f844(f301(x63291,x63292),x63293)),f844(f301(x63291,x63293),x63294)),f188(f916(x63291,a904)))
% 201.98/201.92 [6340]E(f844(f844(f164(x63401),f169(x63401,x63402,x63403)),x63404),x63403)+~P105(f844(f844(f235(a908),x63404),x63402))
% 201.98/201.92 [6367]~P69(x63671)+E(f844(f165(x63671),f844(f844(f154(a1,x63671),x63672),f178(x63673,x63674))),f844(f844(f8(a1,x63671),x63672),f844(f172(a1),f178(x63673,x63674))))
% 201.98/201.92 [6368]~P69(x63681)+E(f844(f844(f8(a1,x63681),x63682),f844(f172(a1),f178(x63683,x63684))),f844(f165(x63681),f844(f844(f154(a1,x63681),x63682),f178(x63683,x63684))))
% 201.98/201.92 [6515]~E(x65152,f844(f844(f134(x65151),f844(f168(x65151),x65154)),f844(f844(f151(x65151),x65153),f113(x65151))))+E(f844(f168(x65151),x65152),f844(f844(f151(x65151),x65153),x65154))
% 201.98/201.92 [6531]~P18(x65312,x65313,x65314,x65311)+E(f844(x65311,f188(f916(x65312,a904))),f31(x65313))
% 201.98/201.92 [6557]~P109(x65571)+E(f844(f844(f101(f916(x65571,a904)),f305(x65571,x65572,x65573)),f844(f301(x65571,x65573),x65574)),f188(f916(x65571,a904)))
% 201.98/201.92 [6774]E(x67741,f188(f916(x67742,a904)))+~E(f312(x67743,x67742,x67744,x67741),f188(f916(f914(x67743,x67742),a904)))
% 201.98/201.92 [6775]E(x67751,f188(f916(x67752,a904)))+~E(f312(x67752,x67753,x67751,x67754),f188(f916(f914(x67752,x67753),a904)))
% 201.98/201.92 [6844]~P108(x68442)+E(f844(f189(f909(x68441)),f150(x68441,x68442,x68443,x68444)),f844(f189(f909(x68441)),x68444))
% 201.98/201.92 [6855]~P105(f844(f249(x68553,x68554,x68551),x68552))+P105(f844(f844(x68551,f543(x68552,x68551)),x68552))
% 201.98/201.92 [6898]~P105(f844(f60(x68982),x68984))+P105(f844(f60(x68981),f844(f309(x68982,x68981,x68983),x68984)))
% 201.98/201.92 [7128]~P24(x71282,x71281,x71283,x71284)+E(f844(f34(x71281),f844(f309(x71282,x71281,x71283),x71284)),f844(f34(x71282),x71284))
% 201.98/201.92 [7146]E(f844(f309(x71461,x71462,x71463),f844(f310(x71461,x71462,x71463),x71464)),x71464)+~E(f844(f309(x71461,x71462,x71463),f241(f916(x71461,a904))),f241(f916(x71462,a904)))
% 201.98/201.92 [7562]~P24(x75621,x75622,x75623,f241(f916(x75621,a904)))+E(f844(f310(x75621,x75622,x75623),f844(f309(x75621,x75622,x75623),x75624)),x75624)
% 201.98/201.92 [7839]E(x78391,x78392)+~P105(f844(f844(f328(x78393),x78391),f844(f172(x78393),f169(x78393,x78394,x78392))))
% 201.98/201.92 [7848]~E(x78481,f2(a908))+~P105(f844(f844(f328(x78482),x78483),f844(f172(x78482),f169(x78482,x78481,x78484))))
% 201.98/201.92 [7881]P105(f844(x78811,x78812))+~P105(f844(f844(f328(x78813),x78812),f844(f172(x78813),f177(x78813,x78811,x78814))))
% 201.98/201.92 [7987]~P105(f844(f844(f328(f909(x79871)),f844(f844(f151(x79871),x79872),x79874)),f161(x79871,x79873)))+P105(f844(f844(f328(x79871),x79872),x79873))
% 201.98/201.92 [8114]~P105(f844(f844(f328(x81141),x81142),f844(f172(x81141),f176(x81141,x81143,x81144))))+P105(f844(f844(f328(x81141),x81142),f844(f172(x81141),x81143)))
% 201.98/201.92 [8115]~P105(f844(f844(f328(x81151),x81152),f844(f172(x81151),f170(x81151,x81154,x81153))))+P105(f844(f844(f328(x81151),x81152),f844(f172(x81151),x81153)))
% 201.98/201.92 [8116]~P105(f844(f844(f328(x81161),x81162),f844(f172(x81161),f177(x81161,x81164,x81163))))+P105(f844(f844(f328(x81161),x81162),f844(f172(x81161),x81163)))
% 201.98/201.92 [8126]E(f844(f189(f909(x81261)),x81262),x81263)+~P105(f844(f844(f328(f909(x81261)),x81262),f844(f172(f909(x81261)),f54(x81261,x81263,x81264))))
% 201.98/201.92 [8221]P105(f844(x82213,x82212))+E(f844(f136(x82211,f844(f844(f10(a904,a904,x82211),a321),f844(a324,x82212))),f844(f136(x82211,x82213),x82214)),f844(f136(x82211,x82213),x82214))
% 201.98/201.92 [8328]E(f844(f844(f164(x83281),f177(x83281,x83282,x83283)),x83284),f844(f844(f164(x83281),x83283),x83284))+~P105(f844(f844(f235(a908),x83284),f844(f189(f909(x83281)),f177(x83281,x83282,x83283))))
% 201.98/201.92 [8414]~P69(x84141)+E(f844(f844(f8(a908,x84141),f844(f844(f10(a908,x84141,a908),x84142),a112)),f844(f301(a908,x84143),x84144)),f844(f844(f8(a908,x84141),x84142),f844(f301(a908,f844(a112,x84143)),f844(a112,x84144))))
% 201.98/201.92 [8423]~P69(x84231)+E(f844(f844(f8(a908,x84231),f844(f844(f10(a908,x84231,a908),x84232),a112)),f302(a908,x84233,x84234)),f844(f844(f8(a908,x84231),x84232),f302(a908,f844(a112,x84233),f844(a112,x84234))))
% 201.98/201.92 [8550]~P24(x85501,x85503,x85504,f241(f916(x85501,a904)))+P24(x85501,f916(x85502,x85503),f844(f844(f10(x85503,f916(x85502,x85503),x85501),f18(x85503,x85502)),x85504),f241(f916(x85501,a904)))
% 201.98/201.92 [8634]~P24(x86342,x86341,x86344,x86343)+E(f844(f309(x86341,x86342,f76(x86342,x86341,x86343,x86344)),f844(f309(x86342,x86341,x86344),x86343)),x86343)
% 201.98/201.92 [8694]~P105(f844(f844(f328(f915(x86941,x86941)),f844(f844(f251(x86941,x86941),x86942),x86944)),f262(x86941,x86943)))+P105(f844(f844(f328(x86941),x86942),x86943))
% 201.98/201.92 [8817]~P24(x88172,x88171,x88173,f241(f916(x88172,a904)))+E(f844(f309(x88171,x88172,f90(x88172,x88171,f241(f916(x88172,a904)),x88173)),f844(f309(x88172,x88171,x88173),x88174)),x88174)
% 201.98/201.92 [8892]~P25(x88921,x88922,x88923,x88924,f241(f916(x88922,a904)))+E(f844(f309(x88921,x88922,x88923),f241(f916(x88921,a904))),f241(f916(x88922,a904)))
% 201.98/201.92 [8925]~E(f844(f844(f8(x89251,a908),x89254),x89253),f844(a112,x89252))+P105(f844(f844(f328(x89251),f886(x89252,x89253,x89254,x89251)),x89253))
% 201.98/201.92 [8946]~E(f844(f844(f8(x89464,a908),x89461),x89463),f844(a112,x89462))+P105(f844(f844(f235(a908),f2(a908)),f844(x89461,f886(x89462,x89463,x89461,x89464))))
% 201.98/201.92 [8957]~P105(f844(f60(x89572),x89574))+P105(f844(f844(f234(a908),f844(f34(x89571),f844(f309(x89572,x89571,x89573),x89574))),f844(f34(x89572),x89574)))
% 201.98/201.92 [8958]E(f844(f844(f251(x89581,x89582),f632(x89583,x89584,x89582,x89581)),f633(x89583,x89584,x89582,x89581)),x89584)+~P105(f844(f844(f328(f915(x89581,x89582)),x89584),f844(f285(x89582,x89581),x89583)))
% 201.98/201.92 [8966]P24(x89661,x89662,x89663,x89664)+P105(f844(f844(f328(x89661),f501(x89664,x89663,x89662,x89661)),x89664))
% 201.98/201.92 [8967]P24(x89671,x89672,x89673,x89674)+P105(f844(f844(f328(x89671),f508(x89674,x89673,x89672,x89671)),x89674))
% 201.98/201.92 [9035]P10(x90351,x90352,x90353,x90354)+P105(f844(f844(f328(f915(x90351,x90351)),f566(x90354,x90353,x90352,x90351)),x90353))
% 201.98/201.92 [9089]P105(f844(x90891,x90892))+~P105(f844(x90891,f844(f844(f251(x90893,x90894),f385(x90894,x90893,x90891)),f386(x90894,x90893,x90891))))
% 201.98/201.92 [9106]E(f844(f189(f909(x91061)),x91062),f844(f189(f909(x91061)),x91063))+~P105(f844(f844(f328(f915(f909(x91061),f909(x91061))),f844(f844(f251(f909(x91061),f909(x91061)),x91062),x91063)),f145(x91061,x91064)))
% 201.98/201.92 [9107]E(f844(f189(f909(x91071)),x91072),f844(f189(f909(x91071)),x91073))+~P105(f844(f844(f328(f915(f909(x91071),f909(x91071))),f844(f844(f251(f909(x91071),f909(x91071)),x91072),x91073)),f157(x91071,x91074)))
% 201.98/201.92 [9110]E(f844(f189(f909(x91101)),x91102),f844(f189(f909(x91101)),x91103))+~P105(f844(f844(f328(f915(f909(x91101),f909(x91101))),f844(f844(f251(f909(x91101),f909(x91101)),x91102),x91103)),f158(x91101,x91104)))
% 201.98/201.92 [9179]P105(f844(f844(f234(a908),f155(x91791,x91792,x91793)),f155(x91791,x91794,x91793)))+P105(f844(f844(f328(x91791),f656(x91794,x91792,x91793,x91791)),f844(f172(x91791),x91793)))
% 201.98/201.92 [9182]E(f844(f189(f909(x91821)),x91822),f844(f189(f909(x91821)),x91823))+~P105(f844(f844(f328(f915(f909(x91821),f909(x91821))),f844(f844(f251(f909(x91821),f909(x91821)),x91822),x91823)),f306(f909(x91821),f157(x91821,x91824))))
% 201.98/201.92 [9417]~P24(x94171,x94172,x94173,x94174)+~P105(f844(f844(f235(a908),f844(f34(x94172),f844(f309(x94171,x94172,x94173),x94174))),f844(f34(x94171),x94174)))
% 201.98/201.92 [9464]~P105(f844(f844(f328(f915(f909(x94641),f909(x94641))),f844(f844(f251(f909(x94641),f909(x94641)),x94642),x94643)),f157(x94641,x94644)))+P105(f844(f844(f328(f915(f909(x94641),f909(x94641))),f844(f844(f251(f909(x94641),f909(x94641)),x94642),x94643)),f158(x94641,f306(x94641,x94644))))
% 201.98/201.92 [9468]~P105(f844(f844(f328(f915(f909(x94681),f909(x94681))),f844(f844(f251(f909(x94681),f909(x94681)),x94682),x94683)),f158(x94681,x94684)))+P105(f844(f844(f328(f915(f909(x94681),f909(x94681))),f844(f844(f251(f909(x94681),f909(x94681)),x94682),x94683)),f306(f909(x94681),f157(x94681,x94684))))
% 201.98/201.92 [9484]P105(f844(f844(f328(f915(x94841,x94841)),f844(f844(f251(x94841,x94841),x94842),x94843)),f306(x94841,x94844)))+~P105(f844(f844(f328(f915(x94841,x94841)),f844(f844(f251(x94841,x94841),x94842),x94843)),f844(f844(f288(x94841,x94841,x94841),x94844),f306(x94841,x94844))))
% 201.98/201.92 [9669]E(f844(f844(f134(x96691),f674(x96692,x96693,x96694,x96691)),f844(f844(f151(x96691),f675(x96692,x96693,x96694,x96691)),f677(x96692,x96693,x96694,x96691))),x96694)+~P105(f844(f844(f328(f915(f909(x96691),f909(x96691))),f844(f844(f251(f909(x96691),f909(x96691)),x96694),x96693)),f157(x96691,x96692)))
% 201.98/201.92 [9670]E(f844(f844(f134(x96701),f674(x96702,x96703,x96704,x96701)),f844(f844(f151(x96701),f676(x96702,x96703,x96704,x96701)),f677(x96702,x96703,x96704,x96701))),x96703)+~P105(f844(f844(f328(f915(f909(x96701),f909(x96701))),f844(f844(f251(f909(x96701),f909(x96701)),x96704),x96703)),f157(x96701,x96702)))
% 201.98/201.92 [9748]P105(f844(f844(f328(f915(x97481,x97481)),f844(f844(f251(x97481,x97481),x97482),f621(x97483,x97484,x97482,x97481))),f306(x97481,x97483)))+~P105(f844(f844(f328(f915(x97481,x97481)),f844(f844(f251(x97481,x97481),x97482),x97484)),f844(f844(f288(x97481,x97481,x97481),x97483),f306(x97481,x97483))))
% 201.98/201.92 [9817]P105(f844(f844(f234(a908),f155(x98171,x98172,x98173)),f155(x98171,x98174,x98173)))+~P105(f844(f844(f235(a908),f844(x98172,f656(x98174,x98172,x98173,x98171))),f844(x98174,f656(x98174,x98172,x98173,x98171))))
% 201.98/201.92 [9888]P105(f844(f844(f328(f915(x98881,x98881)),f844(f844(f251(x98881,x98881),f620(x98882,x98883,x98884,x98881)),x98883)),f306(x98881,x98882)))+~P105(f844(f844(f328(f915(x98881,x98881)),f844(f844(f251(x98881,x98881),x98884),x98883)),f844(f844(f288(x98881,x98881,x98881),x98882),f306(x98881,x98882))))
% 201.98/201.92 [5338]~E(x53382,x53383)+E(f170(x53381,x53382,f844(f844(f151(x53381),x53383),x53384)),x53384)
% 201.98/201.92 [5468]P105(f844(x54682,x54683))+E(f177(x54681,x54682,f844(f844(f151(x54681),x54683),x54684)),f113(x54681))
% 201.98/201.92 [5534]~P89(x55342)+E(f844(f844(f78(f916(x55341,x55342)),x55343),x55344),f844(f78(x55342),f844(x55343,x55344)))
% 201.98/201.92 [5547]~E(x55472,f2(a908))+E(f844(f844(f138(x55471),x55472),f844(f844(f151(x55471),x55473),x55474)),f844(f844(f151(x55471),x55473),x55474))
% 201.98/201.92 [5548]P105(f844(x55482,x55483))+E(f844(f136(x55481,x55482),f844(f844(f151(x55481),x55483),x55484)),f844(f136(x55481,x55482),x55484))
% 201.98/201.92 [5686]~E(x56862,x56864)+P105(f844(f844(f844(f308(x56861),x56862),x56863),x56864))
% 201.98/201.92 [5694]E(x56941,f113(x56942))+E(f144(x56943,f844(f844(f154(x56942,x56943),x56944),x56941)),f844(x56944,f144(x56942,x56941)))
% 201.98/201.92 [5708]~E(x57081,f62(x57082,x57084))+E(f844(x57081,f844(f844(f308(x57082),x57083),f188(f916(x57082,a904)))),x57083)
% 201.98/201.92 [5744]E(x57441,f113(x57442))+E(f844(f141(x57443),f844(f844(f154(x57442,x57443),x57444),x57441)),f844(x57444,f844(f141(x57442),x57441)))
% 201.98/201.92 [5847]~P105(f844(x58473,x58474))+P105(f844(f844(f844(f308(x58471),x58472),x58473),x58474))
% 201.98/201.92 [5975]~P17(x59752,x59754,x59751)+E(f844(x59751,f844(f844(f308(x59752),x59753),f188(f916(x59752,a904)))),x59753)
% 201.98/201.92 [6001]~E(x60012,x60013)+P105(f844(f844(f328(x60011),x60012),f844(f844(f308(x60011),x60013),x60014)))
% 201.98/201.92 [6006]~P77(x60061)+E(f844(f844(f110(x60061),x60062),f844(f844(f110(x60061),x60063),x60064)),f844(f844(f110(x60061),x60063),f844(f844(f110(x60061),x60062),x60064)))
% 201.98/201.92 [6008]~P100(x60081)+E(f844(f844(f110(x60081),x60082),f844(f844(f110(x60081),x60083),x60084)),f844(f844(f110(x60081),x60083),f844(f844(f110(x60081),x60082),x60084)))
% 201.98/201.92 [6009]~P112(x60091)+E(f844(f844(f80(x60091),x60092),f844(f844(f80(x60091),x60093),x60094)),f844(f844(f80(x60091),x60093),f844(f844(f80(x60091),x60092),x60094)))
% 201.98/201.92 [6010]~P77(x60101)+E(f844(f844(f101(x60101),x60102),f844(f844(f101(x60101),x60103),x60104)),f844(f844(f101(x60101),x60103),f844(f844(f101(x60101),x60102),x60104)))
% 201.98/201.92 [6012]~P101(x60121)+E(f844(f844(f101(x60121),x60122),f844(f844(f101(x60121),x60123),x60124)),f844(f844(f101(x60121),x60123),f844(f844(f101(x60121),x60122),x60124)))
% 201.98/201.92 [6013]~P112(x60131)+E(f844(f844(f79(x60131),x60132),f844(f844(f79(x60131),x60133),x60134)),f844(f844(f79(x60131),x60133),f844(f844(f79(x60131),x60132),x60134)))
% 201.98/201.92 [6015]~P108(x60151)+E(f844(f844(f232(x60151),x60152),f844(f844(f232(x60151),x60153),x60154)),f844(f844(f232(x60151),x60153),f844(f844(f232(x60151),x60152),x60154)))
% 201.98/201.92 [6017]~P108(x60171)+E(f844(f844(f233(x60171),x60172),f844(f844(f233(x60171),x60173),x60174)),f844(f844(f233(x60171),x60173),f844(f844(f233(x60171),x60172),x60174)))
% 201.98/201.92 [6022]E(x60221,x60222)+E(f170(x60223,x60221,f844(f844(f151(x60223),x60222),x60224)),f844(f844(f151(x60223),x60222),f170(x60223,x60221,x60224)))
% 201.98/201.92 [6035]~P105(f844(x60352,x60353))+E(f844(f136(x60351,x60352),f844(f844(f151(x60351),x60353),x60354)),f844(f844(f151(x60351),x60353),f844(f136(x60351,x60352),x60354)))
% 201.98/201.92 [6172]~P105(f844(x61722,x61723))+E(f177(x61721,x61722,f844(f844(f151(x61721),x61723),x61724)),f844(f844(f151(x61721),x61723),f177(x61721,x61722,x61724)))
% 201.98/201.92 [6236]E(x62361,f188(f916(x62362,a904)))+E(f844(f844(f38(x62362,f916(x62363,a904)),x62361),f844(f18(f916(x62363,a904),x62362),x62364)),x62364)
% 201.98/201.92 [6237]E(x62371,f188(f916(x62372,a904)))+E(f844(f844(f39(x62372,f916(x62373,a904)),x62371),f844(f18(f916(x62373,a904),x62372),x62374)),x62374)
% 201.98/201.92 [6246]~E(x62464,f188(f916(x62462,a904)))+E(f844(f844(f253(x62461,x62462),x62463),f844(f18(f916(x62462,a904),x62461),x62464)),f188(f916(f915(x62461,x62462),a904)))
% 201.98/201.92 [6247]~E(x62473,f188(f916(x62471,a904)))+E(f844(f844(f253(x62471,x62472),x62473),f844(f18(f916(x62472,a904),x62471),x62474)),f188(f916(f915(x62471,x62472),a904)))
% 201.98/201.92 [6302]E(x63021,f2(a908))+E(f844(f844(f138(x63022),x63021),f844(f844(f151(x63022),x63023),x63024)),f844(f844(f138(x63022),f844(f844(f3(a908),x63021),f77(a908))),x63024))
% 201.98/201.92 [6323]E(x63231,f188(f916(x63232,a904)))+E(f844(f309(x63232,x63233,f844(f18(x63233,x63232),x63234)),x63231),f844(f844(f308(x63233),x63234),f188(f916(x63233,a904))))
% 201.98/201.92 [6326]E(f844(f310(x63261,x63262,f844(f18(x63262,x63261),x63263)),x63264),f188(f916(x63261,a904)))+P105(f844(f844(f328(x63262),x63263),x63264))
% 201.98/201.92 [6392]~E(x63923,f188(f916(x63921,a904)))+E(f844(f844(f38(x63921,f916(x63922,a904)),x63923),f844(f18(f916(x63922,a904),x63921),x63924)),f241(f916(x63922,a904)))
% 201.98/201.92 [6393]~E(x63933,f188(f916(x63931,a904)))+E(f844(f844(f39(x63931,f916(x63932,a904)),x63933),f844(f18(f916(x63932,a904),x63931),x63934)),f188(f916(x63932,a904)))
% 202.05/201.92 [6395]~P59(x63951)+E(f44(x63951,f844(f844(f80(x63951),x63952),x63953),f844(f844(f80(x63951),x63952),x63954)),f844(f844(f80(x63951),x63952),f44(x63951,x63953,x63954)))
% 202.05/201.92 [6567]E(f844(f310(x65671,x65672,f844(f18(x65672,x65671),x65673)),x65674),f241(f916(x65671,a904)))+~P105(f844(f844(f328(x65672),x65673),x65674))
% 202.05/201.92 [6590]~P105(f844(f844(f328(x65901),x65902),x65904))+P105(f844(f844(f328(x65901),x65902),f844(f844(f308(x65901),x65903),x65904)))
% 202.05/201.92 [6595]P105(f844(x65951,x65952))+~P105(f844(f160(x65953,x65951),f844(f844(f151(x65953),x65952),x65954)))
% 202.05/201.92 [6604]~E(x66043,f844(f844(f3(a908),f844(f189(f909(x66041)),x66042)),f77(a908)))+E(f114(x66041,f844(f844(f159(x66041,x66042),x66043),x66044)),f114(x66041,x66042))
% 202.05/201.92 [6624]~P108(x66241)+E(f844(f844(f101(f916(x66241,a904)),f844(f300(x66241),x66242)),f302(x66241,x66243,x66244)),f302(x66241,x66243,f844(f844(f232(x66241),x66242),x66244)))
% 202.05/201.92 [6625]~P108(x66251)+E(f844(f844(f101(f916(x66251,a904)),f844(f282(x66251),x66252)),f302(x66251,x66253,x66254)),f302(x66251,f844(f844(f233(x66251),x66252),x66253),x66254))
% 202.05/201.92 [6641]E(f844(f844(f101(f916(x66411,a904)),x66412),f844(f844(f308(x66411),x66413),x66414)),f844(f844(f101(f916(x66411,a904)),x66412),x66414))+P105(f844(f844(f328(x66411),x66413),x66412))
% 202.05/201.92 [6653]E(f170(x66531,x66532,f844(f844(f134(x66531),x66533),x66534)),f844(f844(f134(x66531),x66533),f170(x66531,x66532,x66534)))+P105(f844(f844(f328(x66531),x66532),f844(f172(x66531),x66533)))
% 202.05/201.92 [6658]~P81(x66581)+E(f844(f844(f80(x66581),f844(f844(f243(x66581),x66582),x66583)),f844(f844(f243(x66581),x66582),x66584)),f844(f844(f243(x66581),x66582),f844(f844(f79(a908),x66583),x66584)))
% 202.05/201.92 [6659]~P112(x66591)+E(f844(f844(f80(x66591),f844(f844(f243(x66591),x66592),x66593)),f844(f844(f243(x66591),x66592),x66594)),f844(f844(f243(x66591),x66592),f844(f844(f79(a908),x66593),x66594)))
% 202.05/201.92 [6696]~P98(x66961)+E(f844(f844(f101(x66961),f844(f844(f110(x66961),x66962),x66963)),f844(f844(f110(x66961),x66962),x66964)),f844(f844(f110(x66961),x66962),f844(f844(f101(x66961),x66963),x66964)))
% 202.05/201.92 [6697]~P112(x66971)+E(f844(f844(f79(x66971),f844(f844(f80(x66971),x66972),x66973)),f844(f844(f80(x66971),x66972),x66974)),f844(f844(f80(x66971),x66972),f844(f844(f79(x66971),x66973),x66974)))
% 202.05/201.92 [6698]~P98(x66981)+E(f844(f844(f110(x66981),f844(f844(f101(x66981),x66982),x66983)),f844(f844(f101(x66981),x66982),x66984)),f844(f844(f101(x66981),x66982),f844(f844(f110(x66981),x66983),x66984)))
% 202.05/201.92 [6699]~P108(x66991)+E(f844(f844(f233(x66991),f844(f844(f232(x66991),x66992),x66993)),f844(f844(f232(x66991),x66992),x66994)),f844(f844(f232(x66991),x66992),f844(f844(f233(x66991),x66993),x66994)))
% 202.05/201.92 [6700]~P108(x67001)+E(f844(f844(f232(x67001),f844(f844(f233(x67001),x67002),x67003)),f844(f844(f233(x67001),x67002),x67004)),f844(f844(f233(x67001),x67002),f844(f844(f232(x67001),x67003),x67004)))
% 202.05/201.92 [6734]~P59(x67341)+E(f44(x67341,f844(f844(f80(x67341),x67342),x67343),f844(f844(f80(x67341),x67344),x67343)),f844(f844(f80(x67341),f44(x67341,x67342,x67344)),x67343))
% 202.05/201.92 [6737]~E(f844(f189(f909(x67371)),x67373),f844(f189(f909(x67372)),x67374))+E(f844(f844(f154(f915(x67371,x67372),x67372),f255(x67371,x67372)),f844(f844(f181(x67371,x67372),x67373),x67374)),x67374)
% 202.05/201.92 [6738]~E(f844(f189(f909(x67381)),x67383),f844(f189(f909(x67382)),x67384))+E(f844(f844(f154(f915(x67381,x67382),x67381),f250(x67381,x67382)),f844(f844(f181(x67381,x67382),x67383),x67384)),x67383)
% 202.05/201.92 [6743]P105(f844(f160(x67431,x67432),x67433))+~P105(f844(f160(x67431,x67432),f844(f844(f151(x67431),x67434),x67433)))
% 202.05/201.92 [6744]P105(f844(f160(x67441,x67442),x67443))+~P105(f844(f160(x67441,x67442),f844(f844(f134(x67441),x67444),x67443)))
% 202.05/201.92 [6745]P105(f844(f160(x67451,x67452),x67453))+~P105(f844(f160(x67451,x67452),f844(f844(f134(x67451),x67453),x67454)))
% 202.05/201.92 [6750]~P60(x67501)+E(f44(x67501,f844(f844(f3(x67501),x67502),f44(x67501,x67503,x67504)),x67504),f44(x67501,f844(f844(f3(x67501),x67502),x67503),x67504))
% 202.05/201.92 [6751]~P59(x67511)+E(f44(x67511,f844(f844(f80(x67511),x67512),f44(x67511,x67513,x67514)),x67514),f44(x67511,f844(f844(f80(x67511),x67512),x67513),x67514))
% 202.05/201.92 [6753]~P59(x67531)+E(f44(x67531,f844(f844(f79(x67531),x67532),f44(x67531,x67533,x67534)),x67534),f44(x67531,f844(f844(f79(x67531),x67532),x67533),x67534))
% 202.05/201.92 [6836]~P108(x68361)+E(f844(f844(f101(f916(x68361,a904)),f302(x68361,x68362,x68363)),f844(f300(x68361),x68364)),f302(x68361,x68362,f844(f844(f232(x68361),x68363),x68364)))
% 202.05/201.92 [6837]~P108(x68371)+E(f844(f844(f101(f916(x68371,a904)),f302(x68371,x68372,x68373)),f844(f282(x68371),x68374)),f302(x68371,f844(f844(f233(x68371),x68372),x68374),x68373))
% 202.05/201.92 [6840]~E(f844(f189(f909(x68401)),x68403),f844(f189(f909(x68402)),x68404))+E(f844(f844(f181(x68401,x68402),f844(f168(x68401),x68403)),f844(f168(x68402),x68404)),f844(f168(f915(x68401,x68402)),f844(f844(f181(x68401,x68402),x68403),x68404)))
% 202.05/201.92 [6852]E(x68521,f844(f844(f3(a908),f844(f189(f909(x68522)),x68523)),f77(a908)))+E(f114(x68522,f844(f844(f159(x68522,x68523),x68521),x68524)),f844(f844(f159(x68522,f114(x68522,x68523)),x68521),x68524))
% 202.05/201.92 [6867]~P105(f844(f137(x68672),x68674))+P105(f844(f137(f915(x68671,x68672)),f844(f844(f181(x68671,x68672),x68673),x68674)))
% 202.05/201.92 [6868]~P105(f844(f137(x68681),x68683))+P105(f844(f137(f915(x68681,x68682)),f844(f844(f181(x68681,x68682),x68683),x68684)))
% 202.05/201.92 [7131]E(f844(f844(f35(a908),x71311),x71312),x71313)+~P105(f844(f47(x71311,x71312),f844(f844(f251(a908,a908),x71313),x71314)))
% 202.05/201.92 [7155]E(f44(a908,x71551,x71552),x71553)+~P105(f844(f47(x71551,x71552),f844(f844(f251(a908,a908),x71554),x71553)))
% 202.05/201.92 [7158]P105(f844(f137(x71581),x71582))+~P105(f844(f137(x71583),f844(f844(f154(x71581,x71583),x71584),x71582)))
% 202.05/201.92 [7241]E(f170(x72411,x72412,f844(f844(f134(x72411),x72413),x72414)),f844(f844(f134(x72411),f170(x72411,x72412,x72413)),x72414))+~P105(f844(f844(f328(x72411),x72412),f844(f172(x72411),x72413)))
% 202.05/201.92 [7332]~P60(x73321)+E(f44(x73321,f844(f844(f3(x73321),f44(x73321,x73322,x73323)),x73324),x73323),f44(x73321,f844(f844(f3(x73321),x73322),x73324),x73323))
% 202.05/201.92 [7335]~P59(x73351)+E(f44(x73351,f844(f844(f80(x73351),f44(x73351,x73352,x73353)),x73354),x73353),f44(x73351,f844(f844(f80(x73351),x73352),x73354),x73353))
% 202.05/201.92 [7336]~P59(x73361)+E(f44(x73361,f844(f844(f79(x73361),f44(x73361,x73362,x73363)),x73364),x73363),f44(x73361,f844(f844(f79(x73361),x73362),x73364),x73363))
% 202.05/201.92 [7532]~E(x75321,f844(f844(f151(x75322),x75323),x75324))+~P105(f844(f844(f234(a908),f844(f189(f909(x75322)),x75321)),f844(f189(f909(x75322)),x75324)))
% 202.05/201.92 [7733]P24(x77331,x77332,x77333,f844(f172(x77331),x77334))+~P105(f844(f137(x77332),f844(f844(f154(x77331,x77332),x77333),x77334)))
% 202.05/201.92 [7806]~P105(f844(f844(f234(f916(x78061,a904)),x78062),x78064))+P105(f844(f844(f234(f916(x78061,a904)),x78062),f844(f844(f308(x78061),x78063),x78064)))
% 202.05/201.92 [7840]~P60(x78401)+E(f44(x78401,f844(f844(f3(x78401),f44(x78401,x78402,x78403)),f44(x78401,x78404,x78403)),x78403),f44(x78401,f844(f844(f3(x78401),x78402),x78404),x78403))
% 202.05/201.92 [7841]~P59(x78411)+E(f44(x78411,f844(f844(f80(x78411),f44(x78411,x78412,x78413)),f44(x78411,x78414,x78413)),x78413),f44(x78411,f844(f844(f80(x78411),x78412),x78414),x78413))
% 202.05/201.92 [7842]~P59(x78421)+E(f44(x78421,f844(f844(f79(x78421),f44(x78421,x78422,x78423)),f44(x78421,x78424,x78423)),x78423),f44(x78421,f844(f844(f79(x78421),x78422),x78424),x78423))
% 202.05/201.92 [7944]~E(f844(x79444,f445(x79444,x79443,x79441,x79442)),f188(f916(x79442,a904)))+E(f844(f844(f39(x79441,f916(x79442,a904)),x79443),x79444),f188(f916(x79442,a904)))
% 202.05/201.92 [7945]~E(f844(x79454,f400(x79454,x79453,x79451,x79452)),f241(f916(x79452,a904)))+E(f844(f844(f38(x79451,f916(x79452,a904)),x79453),x79454),f241(f916(x79452,a904)))
% 202.05/201.92 [7946]~E(f844(x79464,f409(x79464,x79463,x79462,x79461)),f241(f916(x79462,a904)))+E(f844(f844(f38(x79461,f916(x79462,a904)),x79463),x79464),f241(f916(x79462,a904)))
% 202.05/201.92 [7947]~E(f844(x79474,f453(x79474,x79473,x79472,x79471)),f188(f916(x79472,a904)))+E(f844(f844(f39(x79471,f916(x79472,a904)),x79473),x79474),f188(f916(x79472,a904)))
% 202.05/201.92 [8329]P105(f844(x83291,x83292))+~P105(f844(f844(f328(x83293),x83292),f844(f844(f101(f916(x83293,a904)),x83294),f844(f261(x83293),x83291))))
% 202.05/201.92 [8366]~P105(f844(f844(f234(f916(x83661,a904)),x83663),x83664))+P105(f844(f844(f234(f916(x83661,a904)),f844(f844(f308(x83661),x83662),x83663)),f844(f844(f308(x83661),x83662),x83664)))
% 202.05/201.92 [8543]P105(f844(x85432,x85433))+E(f844(f844(f138(x85431),f844(f189(f909(x85431)),f177(x85431,x85432,f844(f844(f151(x85431),x85433),x85434)))),f844(f844(f151(x85431),x85433),x85434)),f844(f844(f151(x85431),x85433),x85434))
% 202.05/201.92 [8648]~P105(f844(f844(f235(a908),f844(x86484,x86482)),f844(x86484,x86483)))+P105(f844(f844(f328(f915(x86481,x86481)),f844(f844(f251(x86481,x86481),x86482),x86483)),f844(f844(f287(a908,x86481),a239),x86484)))
% 202.05/201.92 [8744]~P105(f844(x87442,f730(x87444,x87442,x87443,x87441)))+E(f177(x87441,x87442,f844(f844(f134(x87441),x87443),x87444)),f844(f844(f134(x87441),x87443),f177(x87441,x87442,x87444)))
% 202.05/201.92 [8821]P24(f909(x88211),f909(x88212),f844(f154(x88211,x88212),x88213),x88214)+~P24(x88211,x88212,x88213,f36(f916(x88211,a904),f844(f309(f909(x88211),f916(x88211,a904),f172(x88211)),x88214)))
% 202.05/201.92 [8896]~P105(f844(x88962,x88963))+E(f844(f844(f138(x88961),f844(f189(f909(x88961)),f177(x88961,x88962,f844(f844(f151(x88961),x88963),x88964)))),f844(f844(f151(x88961),x88963),x88964)),f844(f844(f138(x88961),f844(f189(f909(x88961)),f177(x88961,x88962,x88964))),x88964))
% 202.05/201.92 [8937]~E(x89372,x89373)+E(f844(f136(x89371,f844(f844(f10(a904,a904,x89371),a321),f844(a324,x89372))),f844(f844(f151(x89371),x89373),x89374)),f844(f136(x89371,f844(f844(f10(a904,a904,x89371),a321),f844(a324,x89372))),x89374))
% 202.05/201.92 [8947]E(f844(f844(f39(x89471,f916(x89472,a904)),x89473),x89474),f188(f916(x89472,a904)))+P105(f844(f844(f328(x89471),f445(x89474,x89473,x89471,x89472)),x89473))
% 202.05/201.92 [8948]E(f844(f844(f38(x89481,f916(x89482,a904)),x89483),x89484),f241(f916(x89482,a904)))+P105(f844(f844(f328(x89481),f400(x89484,x89483,x89481,x89482)),x89483))
% 202.05/201.92 [8949]E(f844(f844(f38(x89491,f916(x89492,a904)),x89493),x89494),f241(f916(x89492,a904)))+P105(f844(f844(f328(x89491),f409(x89494,x89493,x89492,x89491)),x89493))
% 202.05/201.92 [8950]E(f844(f844(f39(x89501,f916(x89502,a904)),x89503),x89504),f188(f916(x89502,a904)))+P105(f844(f844(f328(x89501),f453(x89504,x89503,x89502,x89501)),x89503))
% 202.05/201.92 [8988]P105(f844(f844(f235(a908),f844(x89881,x89882)),f844(x89881,x89883)))+~P105(f844(f844(f328(f915(x89884,x89884)),f844(f844(f251(x89884,x89884),x89882),x89883)),f844(f844(f287(a908,x89884),a239),x89881)))
% 202.05/201.92 [9014]E(f177(x90141,x90142,f844(f844(f134(x90141),x90143),x90144)),f844(f844(f134(x90141),x90143),f177(x90141,x90142,x90144)))+P105(f844(f844(f328(x90141),f730(x90144,x90142,x90143,x90141)),f844(f172(x90141),x90143)))
% 202.05/201.92 [9065]~P25(x90651,x90652,x90653,f241(f916(x90651,a904)),f241(f916(x90652,a904)))+E(f844(f309(x90651,x90652,x90653),f844(f78(f916(x90651,a904)),x90654)),f844(f78(f916(x90652,a904)),f844(f309(x90651,x90652,x90653),x90654)))
% 202.05/201.92 [9168]P105(f844(f844(f328(x91681),f496(x91682,x91683,x91684,x91681)),x91683))+~P105(f844(f844(f328(f916(x91681,a904)),x91684),f844(f844(f59(x91681),x91683),x91682)))
% 202.05/201.92 [9171]E(x91711,x91712)+~P105(f844(f844(f328(f915(x91713,x91713)),f844(f844(f251(x91713,x91713),x91711),x91712)),f844(f844(f183(f915(x91713,x91713),a904),f2(a908)),x91714)))
% 202.05/201.92 [9252]E(f844(f284(x92521,x92521,x92522),f844(f844(f308(x92521),f496(x92522,x92523,x92524,x92521)),f188(f916(x92521,a904)))),x92524)+~P105(f844(f844(f328(f916(x92521,a904)),x92524),f844(f844(f59(x92521),x92523),x92522)))
% 202.05/201.92 [9257]~P105(f844(f844(f328(f915(x92571,x92571)),f844(f844(f251(x92571,x92571),x92573),x92572)),f306(x92571,x92574)))+P105(f844(f844(f328(f915(x92571,x92571)),f844(f844(f251(x92571,x92571),x92572),x92573)),f306(x92571,f844(f285(x92571,x92571),x92574))))
% 202.05/201.92 [9270]~P59(x92701)+E(f844(f844(f79(x92701),f844(f844(f79(x92701),f844(f844(f80(x92701),x92702),f844(f844(f35(x92701),x92703),x92702))),f44(x92701,x92703,x92702))),x92704),f844(f844(f79(x92701),x92703),x92704))
% 202.05/201.92 [9281]~P105(f844(f844(f328(x92811),x92813),x92814))+P105(f844(f844(f328(f916(x92811,a904)),f844(f284(x92811,x92811,x92812),f844(f844(f308(x92811),x92813),f188(f916(x92811,a904))))),f844(f844(f59(x92811),x92814),x92812)))
% 202.05/201.92 [9293]P105(f844(f844(f328(f915(x92931,x92931)),f844(f844(f251(x92931,x92931),x92932),x92933)),f306(x92931,x92934)))+~P105(f844(f844(f328(f915(x92931,x92931)),f844(f844(f251(x92931,x92931),x92933),x92932)),f306(x92931,f844(f285(x92931,x92931),x92934))))
% 202.05/201.92 [9377]E(f844(f844(f159(x93771,f844(f168(x93771),x93772)),f844(f844(f3(a908),f844(f844(f3(a908),f844(f189(f909(x93771)),x93772)),x93773)),f77(a908))),x93774),f844(f168(x93771),f844(f844(f159(x93771,x93772),x93773),x93774)))+~P105(f844(f844(f235(a908),x93773),f844(f189(f909(x93771)),x93772)))
% 202.05/201.92 [9380]~P105(f844(x93802,f724(x93804,x93802,x93803,x93801)))+E(f844(f844(f138(x93801),f844(f189(f909(x93801)),f177(x93801,x93802,f844(f844(f134(x93801),x93803),x93804)))),f844(f844(f134(x93801),x93803),x93804)),f844(f844(f138(x93801),f844(f189(f909(x93801)),f177(x93801,x93802,x93804))),x93804))
% 202.05/201.92 [9425]~P24(x94252,x94251,x94253,f241(f916(x94252,a904)))+P105(f844(f844(f234(f916(x94251,a904)),f844(f309(x94252,x94251,x94253),f844(f78(f916(x94252,a904)),x94254))),f844(f78(f916(x94251,a904)),f844(f309(x94252,x94251,x94253),x94254))))
% 202.05/201.92 [9437]~P4(x94371)+E(f844(f142(x94371,x94372,f844(f9(x94372,x94371,x94371),f844(f844(f10(x94371,f916(x94371,x94371),x94372),f101(x94371)),x94373)),f241(x94371)),x94374),f844(f844(f38(x94372,x94371),f844(f172(x94372),x94374)),x94373))
% 202.05/201.92 [9438]~P4(x94381)+E(f844(f142(x94381,x94382,f844(f9(x94382,x94381,x94381),f844(f844(f10(x94381,f916(x94381,x94381),x94382),f110(x94381)),x94383)),f188(x94381)),x94384),f844(f844(f39(x94382,x94381),f844(f172(x94382),x94384)),x94383))
% 202.05/201.92 [9448]E(f844(f844(f138(x94481),f844(f189(f909(x94481)),f177(x94481,x94482,f844(f844(f134(x94481),x94483),x94484)))),f844(f844(f134(x94481),x94483),x94484)),f844(f844(f138(x94481),f844(f189(f909(x94481)),f177(x94481,x94482,x94484))),x94484))+P105(f844(f844(f328(x94481),f724(x94484,x94482,x94483,x94481)),f844(f172(x94481),x94483)))
% 202.05/201.92 [9518]~P105(f844(f844(f328(f915(f909(x95184),f909(x95184))),f844(f844(f251(f909(x95184),f909(x95184)),x95183),x95182)),f157(x95184,x95181)))+P105(f844(f844(f235(a908),f657(x95181,x95182,x95183,x95184)),f844(f189(f909(x95184)),x95183)))
% 202.05/201.92 [9519]~P59(x95191)+E(f844(f844(f79(x95191),f844(f844(f79(x95191),f844(f844(f80(x95191),f844(f844(f35(x95191),x95192),x95193)),x95193)),f44(x95191,x95192,x95193))),x95194),f844(f844(f79(x95191),x95192),x95194))
% 202.05/201.92 [9546]~P105(f844(f844(f328(f915(f909(x95461),f909(x95461))),f844(f844(f251(f909(x95461),f909(x95461)),x95462),x95463)),f844(f285(f909(x95461),f909(x95461)),f157(x95461,x95464))))+P105(f844(f844(f328(f915(f909(x95461),f909(x95461))),f844(f844(f251(f909(x95461),f909(x95461)),x95462),x95463)),f157(x95461,f844(f285(x95461,x95461),x95464))))
% 202.05/201.92 [9547]P105(f844(f844(f328(f915(f909(x95471),f909(x95471))),f844(f844(f251(f909(x95471),f909(x95471)),x95472),x95473)),f844(f285(f909(x95471),f909(x95471)),f157(x95471,x95474))))+~P105(f844(f844(f328(f915(f909(x95471),f909(x95471))),f844(f844(f251(f909(x95471),f909(x95471)),x95472),x95473)),f157(x95471,f844(f285(x95471,x95471),x95474))))
% 202.05/201.92 [9586]~P105(f844(f844(f328(x95861),x95863),f844(f263(x95861,x95862),x95864)))+P105(f844(f844(f328(f915(x95861,x95862)),f844(f844(f251(x95861,x95862),x95863),f557(x95864,x95862,x95863,x95861))),x95864))
% 202.05/201.92 [9587]~P105(f844(f844(f328(x95871),x95873),f844(f263(x95871,x95872),x95874)))+P105(f844(f844(f328(f915(x95871,x95872)),f844(f844(f251(x95871,x95872),x95873),f558(x95874,x95872,x95873,x95871))),x95874))
% 202.05/201.92 [9743]~P105(f844(f844(f328(f915(x97431,x97431)),f844(f844(f251(x97431,x97431),x97432),x97434)),f844(f844(f288(x97431,x97431,x97431),x97433),f306(x97431,x97433))))+P105(f844(f844(f328(f915(x97431,x97431)),f844(f844(f251(x97431,x97431),x97432),f620(x97433,x97434,x97432,x97431))),x97433))
% 202.05/201.92 [9902]P10(x99021,x99022,x99023,x99024)+P105(f844(f844(f328(f915(x99021,x99021)),f844(f844(f251(x99021,x99021),f831(x99022,x99024,x99023,x99021)),f830(x99022,x99024,x99023,x99021))),x99023))
% 202.05/201.92 [9909]~P105(f844(f844(f328(f915(x99092,x99091)),x99094),f844(f285(x99091,x99092),x99093)))+P105(f844(f844(f328(f915(x99091,x99092)),f844(f844(f251(x99091,x99092),f633(x99093,x99094,x99091,x99092)),f632(x99093,x99094,x99091,x99092))),x99093))
% 202.05/201.92 [9933]~P105(f844(f844(f328(f915(f909(x99331),f909(x99331))),f844(f844(f251(f909(x99331),f909(x99331)),x99334),x99333)),f157(x99331,x99332)))+P105(f844(f844(f328(f915(x99331,x99331)),f844(f844(f251(x99331,x99331),f675(x99332,x99333,x99334,x99331)),f676(x99332,x99333,x99334,x99331))),x99332))
% 202.05/201.92 [10024]~P105(f844(f844(f328(f915(f909(x100241),f909(x100241))),f844(f844(f251(f909(x100241),f909(x100241)),x100242),x100244)),f157(x100241,x100243)))+P105(f844(f844(f328(f915(x100241,x100241)),f844(f844(f251(x100241,x100241),f844(f844(f164(x100241),x100242),f657(x100243,x100244,x100242,x100241))),f658(x100243,x100244,x100242,x100241))),x100243))
% 202.05/201.92 [10044]~P105(f844(f60(x100442),x100444))+E(f844(f844(f844(f64(f916(x100441,a904),x100442,f110(f916(x100441,a904))),f844(f844(f9(x100442,f916(x100441,a904),f916(x100441,a904)),f844(f844(f10(x100441,f916(f916(x100441,a904),f916(x100441,a904)),x100442),f308(x100441)),x100443)),f188(f916(x100441,a904)))),f188(f916(x100441,a904))),x100444),f844(f309(x100442,x100441,x100443),x100444))
% 202.05/201.92 [10155]~P24(x101551,x101552,x101553,f241(f916(x101551,a904)))+P105(f844(f844(f234(f916(x101551,a904)),f844(f310(x101551,x101552,x101553),f844(f844(f308(x101552),x101554),f188(f916(x101552,a904))))),f844(f844(f308(x101551),f84(x101551,f844(f844(f9(x101551,x101552,a904),f844(f844(f10(x101552,f916(x101552,a904),x101551),a324),x101553)),x101554))),f188(f916(x101551,a904)))))
% 202.05/201.92 [5755]~E(f844(f844(f134(x57551),x57552),x57554),x57553)+E(f844(f844(f175(x57551),f844(f189(f909(x57551)),x57552)),x57553),x57552)
% 202.05/201.92 [5756]~E(f844(f844(f134(x57562),x57563),x57561),x57564)+E(x57561,f844(f844(f138(x57562),f844(f189(f909(x57562)),x57563)),x57564))
% 202.05/201.92 [5767]~E(x57674,f2(a908))+E(f844(f844(f164(x57671),f844(f844(f151(x57671),x57672),x57673)),x57674),x57672)
% 202.05/201.92 [6315]~P112(x63151)+E(f844(f844(f243(x63151),f844(f844(f243(x63151),x63152),x63153)),x63154),f844(f844(f243(x63151),x63152),f844(f844(f80(a908),x63153),x63154)))
% 202.05/201.92 [6316]~P81(x63161)+E(f844(f844(f243(x63161),f844(f844(f243(x63161),x63162),x63163)),x63164),f844(f844(f243(x63161),x63162),f844(f844(f80(a908),x63163),x63164)))
% 202.05/201.92 [6324]E(x63241,f2(a908))+E(f844(f844(f164(x63242),f844(f844(f151(x63242),x63243),x63244)),x63241),f844(f844(f164(x63242),x63244),f844(f844(f3(a908),x63241),f77(a908))))
% 202.05/201.92 [6350]~P121(x63501)+E(f844(f844(f290(x63501),f844(f844(f80(x63501),x63502),x63503)),x63504),f844(f844(f80(x63501),x63502),f844(f844(f290(x63501),x63503),x63504)))
% 202.05/201.92 [6352]~P77(x63521)+E(f844(f844(f110(x63521),f844(f844(f110(x63521),x63522),x63523)),x63524),f844(f844(f110(x63521),x63522),f844(f844(f110(x63521),x63523),x63524)))
% 202.05/201.92 [6354]~P100(x63541)+E(f844(f844(f110(x63541),f844(f844(f110(x63541),x63542),x63543)),x63544),f844(f844(f110(x63541),x63542),f844(f844(f110(x63541),x63543),x63544)))
% 202.05/201.92 [6355]~P67(x63551)+E(f844(f844(f80(x63551),f844(f844(f80(x63551),x63552),x63553)),x63554),f844(f844(f80(x63551),x63552),f844(f844(f80(x63551),x63553),x63554)))
% 202.05/201.92 [6356]~P112(x63561)+E(f844(f844(f80(x63561),f844(f844(f80(x63561),x63562),x63563)),x63564),f844(f844(f80(x63561),x63562),f844(f844(f80(x63561),x63563),x63564)))
% 202.05/201.92 [6358]~P77(x63581)+E(f844(f844(f101(x63581),f844(f844(f101(x63581),x63582),x63583)),x63584),f844(f844(f101(x63581),x63582),f844(f844(f101(x63581),x63583),x63584)))
% 202.05/201.92 [6360]~P101(x63601)+E(f844(f844(f101(x63601),f844(f844(f101(x63601),x63602),x63603)),x63604),f844(f844(f101(x63601),x63602),f844(f844(f101(x63601),x63603),x63604)))
% 202.05/201.92 [6361]~P68(x63611)+E(f844(f844(f79(x63611),f844(f844(f79(x63611),x63612),x63613)),x63614),f844(f844(f79(x63611),x63612),f844(f844(f79(x63611),x63613),x63614)))
% 202.05/201.92 [6362]~P112(x63621)+E(f844(f844(f79(x63621),f844(f844(f79(x63621),x63622),x63623)),x63624),f844(f844(f79(x63621),x63622),f844(f844(f79(x63621),x63623),x63624)))
% 202.05/201.92 [6364]~P108(x63641)+E(f844(f844(f232(x63641),f844(f844(f232(x63641),x63642),x63643)),x63644),f844(f844(f232(x63641),x63642),f844(f844(f232(x63641),x63643),x63644)))
% 202.05/201.92 [6366]~P108(x63661)+E(f844(f844(f233(x63661),f844(f844(f233(x63661),x63662),x63663)),x63664),f844(f844(f233(x63661),x63662),f844(f844(f233(x63661),x63663),x63664)))
% 202.05/201.92 [6375]~P59(x63751)+E(f44(x63751,f844(f844(f79(x63751),x63752),f844(f844(f80(x63751),x63753),x63754)),x63754),f44(x63751,x63752,x63754))
% 202.05/201.92 [6376]~P59(x63761)+E(f44(x63761,f844(f844(f79(x63761),x63762),f844(f844(f80(x63761),x63763),x63764)),x63763),f44(x63761,x63762,x63763))
% 202.05/201.92 [6516]E(f844(f844(f164(x65161),f844(f844(f175(x65161),x65162),x65163)),x65164),f844(f844(f164(x65161),x65163),x65164))+~P105(f844(f844(f235(a908),x65164),x65162))
% 202.05/201.92 [6692]~E(x66922,x66924)+P105(f844(f844(f172(x66921),f844(f844(f151(x66921),x66922),x66923)),x66924))
% 202.05/201.92 [6694]~P112(x66941)+E(f844(f844(f80(x66941),f844(f844(f80(x66941),x66942),x66943)),x66944),f844(f844(f80(x66941),f844(f844(f80(x66941),x66942),x66944)),x66943))
% 202.05/201.92 [6695]~P112(x66951)+E(f844(f844(f79(x66951),f844(f844(f79(x66951),x66952),x66953)),x66954),f844(f844(f79(x66951),f844(f844(f79(x66951),x66952),x66954)),x66953))
% 202.05/201.92 [6756]~P143(x67562)+E(f844(f844(f8(x67561,x67562),f844(f18(x67562,x67561),x67563)),x67564),f844(f844(f80(x67562),f844(f100(x67562),f844(f34(x67561),x67564))),x67563))
% 202.05/201.92 [6930]E(f844(f844(f101(f916(x69301,a904)),f844(f844(f308(x69301),x69302),x69303)),x69304),f844(f844(f101(f916(x69301,a904)),x69303),x69304))+P105(f844(f844(f328(x69301),x69302),x69304))
% 202.05/201.92 [6997]~P98(x69971)+E(f844(f844(f101(x69971),f844(f844(f110(x69971),x69972),x69973)),f844(f844(f110(x69971),x69974),x69973)),f844(f844(f110(x69971),f844(f844(f101(x69971),x69972),x69974)),x69973))
% 202.05/201.92 [6998]~P79(x69981)+E(f844(f844(f232(x69981),f844(f844(f3(x69981),x69982),x69983)),f844(f844(f3(x69981),x69984),x69983)),f844(f844(f3(x69981),f844(f844(f232(x69981),x69982),x69984)),x69983))
% 202.05/201.92 [6999]~P79(x69991)+E(f844(f844(f233(x69991),f844(f844(f3(x69991),x69992),x69993)),f844(f844(f3(x69991),x69994),x69993)),f844(f844(f3(x69991),f844(f844(f233(x69991),x69992),x69994)),x69993))
% 202.05/201.92 [7001]~P113(x70011)+E(f844(f844(f79(x70011),f844(f844(f80(x70011),x70012),x70013)),f844(f844(f80(x70011),x70014),x70013)),f844(f844(f80(x70011),f844(f844(f79(x70011),x70012),x70014)),x70013))
% 202.05/201.92 [7002]~P98(x70021)+E(f844(f844(f110(x70021),f844(f844(f101(x70021),x70022),x70023)),f844(f844(f101(x70021),x70024),x70023)),f844(f844(f101(x70021),f844(f844(f110(x70021),x70022),x70024)),x70023))
% 202.05/201.92 [7003]~P84(x70031)+E(f844(f844(f232(x70031),f844(f844(f79(x70031),x70032),x70033)),f844(f844(f79(x70031),x70034),x70033)),f844(f844(f79(x70031),f844(f844(f232(x70031),x70032),x70034)),x70033))
% 202.05/201.92 [7004]~P84(x70041)+E(f844(f844(f233(x70041),f844(f844(f79(x70041),x70042),x70043)),f844(f844(f79(x70041),x70044),x70043)),f844(f844(f79(x70041),f844(f844(f233(x70041),x70042),x70044)),x70043))
% 202.05/201.92 [7005]~P121(x70051)+E(f844(f844(f3(x70051),f844(f844(f290(x70051),x70052),x70053)),f844(f844(f290(x70051),x70054),x70053)),f844(f844(f290(x70051),f844(f844(f3(x70051),x70052),x70054)),x70053))
% 202.05/201.92 [7006]~P121(x70061)+E(f844(f844(f79(x70061),f844(f844(f290(x70061),x70062),x70063)),f844(f844(f290(x70061),x70064),x70063)),f844(f844(f290(x70061),f844(f844(f79(x70061),x70062),x70064)),x70063))
% 202.05/201.92 [7007]~P108(x70071)+E(f844(f844(f233(x70071),f844(f844(f232(x70071),x70072),x70073)),f844(f844(f232(x70071),x70074),x70073)),f844(f844(f232(x70071),f844(f844(f233(x70071),x70072),x70074)),x70073))
% 202.05/201.92 [7008]~P112(x70081)+E(f844(f844(f80(x70081),f844(f844(f243(x70081),x70082),x70083)),f844(f844(f243(x70081),x70084),x70083)),f844(f844(f243(x70081),f844(f844(f80(x70081),x70082),x70084)),x70083))
% 202.05/201.92 [7009]~P74(x70091)+E(f844(f844(f80(x70091),f844(f844(f243(x70091),x70092),x70093)),f844(f844(f243(x70091),x70094),x70093)),f844(f844(f243(x70091),f844(f844(f80(x70091),x70092),x70094)),x70093))
% 202.05/201.92 [7010]~P62(x70101)+E(f844(f844(f290(x70101),f844(f844(f243(x70101),x70102),x70103)),f844(f844(f243(x70101),x70104),x70103)),f844(f844(f243(x70101),f844(f844(f290(x70101),x70102),x70104)),x70103))
% 202.05/201.92 [7011]~P108(x70111)+E(f844(f844(f232(x70111),f844(f844(f233(x70111),x70112),x70113)),f844(f844(f233(x70111),x70114),x70113)),f844(f844(f233(x70111),f844(f844(f232(x70111),x70112),x70114)),x70113))
% 202.05/201.92 [7012]~P112(x70121)+E(f844(f844(f79(x70121),f844(f844(f80(x70121),x70122),x70123)),f844(f844(f80(x70121),x70124),x70123)),f844(f844(f80(x70121),f844(f844(f79(x70121),x70122),x70124)),x70123))
% 202.05/201.92 [7043]E(f844(f844(f159(x70431,x70432),x70433),x70434),x70432)+~P105(f844(f844(f234(a908),f844(f189(f909(x70431)),x70432)),x70433))
% 202.05/201.92 [7069]~P105(f844(x70693,x70694))+P105(f844(f844(f844(f110(f916(x70691,a904)),x70692),x70693),x70694))
% 202.05/201.92 [7071]~P105(f844(x70712,x70714))+P105(f844(f844(f844(f110(f916(x70711,a904)),x70712),x70713),x70714))
% 202.05/201.92 [7091]E(f844(f844(f164(x70911),f844(f844(f134(x70911),x70912),x70913)),x70914),f844(f844(f164(x70911),x70912),x70914))+~P105(f844(f844(f235(a908),x70914),f844(f189(f909(x70911)),x70912)))
% 202.05/201.92 [7102]E(f844(f844(f3(f916(x71021,a904)),f844(f844(f308(x71021),x71022),x71023)),x71024),f844(f844(f3(f916(x71021,a904)),x71023),x71024))+~P105(f844(f844(f328(x71021),x71022),x71024))
% 202.05/201.92 [7144]~E(f139(a908,f844(f301(a908,x71441),x71442)),f844(f844(f151(a908),x71444),x71443))+E(f139(a908,f844(f301(a908,f844(f844(f79(a908),x71441),f77(a908))),x71442)),x71443)
% 202.05/201.92 [7166]~P105(f844(f844(f172(x71661),x71663),x71664))+P105(f844(f844(f172(x71661),f844(f844(f151(x71661),x71662),x71663)),x71664))
% 202.05/201.92 [7216]E(x72161,f2(a908))+E(f844(f844(f151(x72162),x72163),f844(f844(f175(x72162),f844(f844(f3(a908),x72161),f77(a908))),x72164)),f844(f844(f175(x72162),x72161),f844(f844(f151(x72162),x72163),x72164)))
% 202.05/201.92 [7316]E(f844(f844(f164(x73161),x73162),f844(f844(f3(a908),x73163),f844(f189(f909(x73161)),x73164))),f844(f844(f164(x73161),f844(f844(f134(x73161),x73164),x73162)),x73163))+P105(f844(f844(f235(a908),x73163),f844(f189(f909(x73161)),x73164)))
% 202.05/201.92 [7345]E(f844(f844(f101(f916(x73451,a904)),x73452),f844(f844(f308(x73451),x73453),x73454)),f844(f844(f308(x73451),x73453),f844(f844(f101(f916(x73451,a904)),x73452),x73454)))+~P105(f844(f844(f328(x73451),x73453),x73452))
% 202.05/201.92 [7383]E(f844(f844(f164(x73831),f844(f844(f159(x73831,x73832),x73833),x73834)),x73833),x73834)+~P105(f844(f844(f235(a908),x73833),f844(f189(f909(x73831)),x73832)))
% 202.05/201.92 [7405]E(x74051,f188(f916(x74052,a904)))+E(f844(f309(f915(x74053,x74052),x74053,f250(x74053,x74052)),f844(f844(f253(x74053,x74052),x74054),f844(f18(f916(x74052,a904),x74053),x74051))),x74054)
% 202.05/201.92 [7406]E(x74061,f188(f916(x74062,a904)))+E(f844(f309(f915(x74062,x74063),x74063,f255(x74062,x74063)),f844(f844(f253(x74062,x74063),x74061),f844(f18(f916(x74063,a904),x74062),x74064))),x74064)
% 202.05/201.92 [7482]E(f844(f844(f3(f916(x74821,a904)),f844(f844(f308(x74821),x74822),x74823)),x74824),f844(f844(f308(x74821),x74822),f844(f844(f3(f916(x74821,a904)),x74823),x74824)))+P105(f844(f844(f328(x74821),x74822),x74824))
% 202.05/201.92 [7518]~E(x75184,f188(f916(x75182,a904)))+E(f844(f309(f915(x75181,x75182),x75181,f250(x75181,x75182)),f844(f844(f253(x75181,x75182),x75183),f844(f18(f916(x75182,a904),x75181),x75184))),f188(f916(x75181,a904)))
% 202.05/201.92 [7519]~E(x75193,f188(f916(x75191,a904)))+E(f844(f309(f915(x75191,x75192),x75192,f255(x75191,x75192)),f844(f844(f253(x75191,x75192),x75193),f844(f18(f916(x75192,a904),x75191),x75194))),f188(f916(x75192,a904)))
% 202.05/201.92 [7571]~P105(f844(f844(f328(x75711),x75712),x75714))+P105(f844(f844(f328(x75711),x75712),f844(f844(f110(f916(x75711,a904)),x75713),x75714)))
% 202.05/201.92 [7574]~P105(f844(f844(f328(x75741),x75742),x75743))+P105(f844(f844(f328(x75741),x75742),f844(f844(f110(f916(x75741,a904)),x75743),x75744)))
% 202.05/201.92 [7592]E(f844(f844(f101(f916(x75921,a904)),f844(f844(f308(x75921),x75922),x75923)),x75924),f844(f844(f308(x75921),x75922),f844(f844(f101(f916(x75921,a904)),x75923),x75924)))+~P105(f844(f844(f328(x75921),x75922),x75924))
% 202.05/201.92 [7862]P105(f844(x78621,x78622))+~P105(f844(f844(f844(f101(f916(x78623,a904)),x78624),x78621),x78622))
% 202.05/201.92 [7863]P105(f844(x78631,x78632))+~P105(f844(f844(f844(f101(f916(x78633,a904)),x78631),x78634),x78632))
% 202.05/201.92 [7864]E(f844(f844(f8(x78641,a908),x78642),f844(f844(f3(f916(x78641,a904)),x78643),f844(f844(f308(x78641),x78644),f188(f916(x78641,a904))))),f844(f844(f8(x78641,a908),x78642),x78643))+P105(f844(f844(f328(x78641),x78644),x78643))
% 202.05/201.92 [7869]~P69(x78691)+E(f844(f165(x78691),f844(f844(f154(a908,x78691),x78692),f139(a908,f844(f301(a908,x78693),x78694)))),f844(f844(f8(a908,x78691),x78692),f844(f172(a908),f139(a908,f844(f301(a908,x78693),x78694)))))
% 202.05/201.92 [7870]~P69(x78701)+E(f844(f844(f8(a908,x78701),x78702),f844(f172(a908),f139(a908,f844(f301(a908,x78703),x78704)))),f844(f165(x78701),f844(f844(f154(a908,x78701),x78702),f139(a908,f844(f301(a908,x78703),x78704)))))
% 202.05/201.92 [7980]~E(x79803,x79804)+P105(f844(f61(x79801,x79802,f844(f844(f308(x79801),x79803),f188(f916(x79801,a904)))),x79804))
% 202.05/201.92 [8076]P105(f844(f844(f328(x80761),x80762),f844(f172(x80761),x80763)))+~P105(f844(f844(f328(x80761),x80762),f844(f172(x80761),f844(f844(f175(x80761),x80764),x80763))))
% 202.05/201.92 [8077]P105(f844(f844(f328(x80771),x80772),f844(f172(x80771),x80773)))+~P105(f844(f844(f328(x80771),x80772),f844(f172(x80771),f844(f844(f138(x80771),x80774),x80773))))
% 202.05/201.92 [8147]P105(f844(f844(f328(x81471),x81472),x81473))+~P105(f844(f844(f328(x81471),x81472),f844(f844(f3(f916(x81471,a904)),x81473),x81474)))
% 202.05/201.92 [8149]P105(f844(f844(f328(x81491),x81492),x81493))+~P105(f844(f844(f328(x81491),x81492),f844(f844(f101(f916(x81491,a904)),x81494),x81493)))
% 202.05/201.92 [8152]P105(f844(f844(f328(x81521),x81522),x81523))+~P105(f844(f844(f328(x81521),x81522),f844(f844(f101(f916(x81521,a904)),x81523),x81524)))
% 202.05/201.92 [8167]E(f844(f844(f134(x81671),f844(f844(f175(x81671),x81672),x81673)),f844(f844(f151(x81671),x81674),f844(f844(f138(x81671),f844(a112,x81672)),x81673))),f844(f844(f159(x81671,x81673),x81672),x81674))+~P105(f844(f844(f235(a908),x81672),f844(f189(f909(x81671)),x81673)))
% 202.05/201.92 [8190]P105(f844(f844(f328(x81901),x81902),x81903))+~P105(f844(f844(f234(f916(x81901,a904)),f844(f844(f308(x81901),x81902),x81904)),x81903))
% 202.05/201.92 [8227]~P105(f844(f844(f328(x82271),x82272),x82273))+~P105(f844(f844(f328(x82271),x82272),f844(f844(f3(f916(x82271,a904)),x82274),x82273)))
% 202.05/201.92 [8257]~P105(f844(f844(f235(a908),x82574),f844(f189(f909(x82571)),x82573)))+P105(f844(f844(f328(x82571),x82572),f844(f172(x82571),f844(f844(f159(x82571,x82573),x82574),x82572))))
% 202.05/201.92 [8308]E(f844(f844(f164(x83081),f844(f844(f138(x83081),x83082),x83083)),x83084),f844(f844(f164(x83081),x83083),f844(f844(f79(a908),x83082),x83084)))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),x83082),x83084)),f844(f189(f909(x83081)),x83083)))
% 202.05/201.92 [8317]~P143(x83172)+E(f844(f844(f8(x83171,x83172),f844(f844(f10(a908,x83172,x83171),f100(x83172)),x83173)),x83174),f844(f100(x83172),f844(f844(f8(x83171,a908),x83173),x83174)))
% 202.05/201.92 [8318]~P140(x83182)+E(f844(f844(f8(x83181,x83182),f844(f844(f10(a1,x83182,x83181),f102(x83182)),x83183)),x83184),f844(f102(x83182),f844(f844(f8(x83181,a1),x83183),x83184)))
% 202.05/201.92 [8368]~P65(x83682)+E(f844(f844(f11(x83681,x83682),f844(f844(f10(x83682,x83682,x83681),f75(x83682)),x83683)),x83684),f844(f75(x83682),f844(f844(f11(x83681,x83682),x83683),x83684)))
% 202.05/201.92 [8369]~P66(x83692)+E(f844(f844(f8(x83691,x83692),f844(f844(f10(x83692,x83692,x83691),f78(x83692)),x83693)),x83694),f844(f78(x83692),f844(f844(f8(x83691,x83692),x83693),x83694)))
% 202.05/201.92 [8371]E(f844(f844(f8(x83711,a908),x83712),f844(f844(f3(f916(x83711,a904)),x83713),f844(f844(f308(x83711),x83714),f188(f916(x83711,a904))))),f844(f844(f3(a908),f844(f844(f8(x83711,a908),x83712),x83713)),f844(x83712,x83714)))+~P105(f844(f844(f328(x83711),x83714),x83713))
% 202.05/201.92 [8390]P105(f844(f844(f234(f916(x83901,a904)),x83902),x83903))+~P105(f844(f844(f234(f916(x83901,a904)),f844(f844(f308(x83901),x83904),x83902)),x83903))
% 202.05/201.92 [8513]~E(f844(f309(x85132,x85133,x85131),f241(f916(x85132,a904))),f241(f916(x85133,a904)))+E(f844(x85131,f844(f90(x85132,x85133,f241(f916(x85132,a904)),x85131),x85134)),x85134)
% 202.05/201.92 [8595]P36(x85951,x85952)+~P36(x85951,f844(f844(f308(f915(x85951,x85951)),f844(f844(f251(x85951,x85951),x85953),x85954)),x85952))
% 202.05/201.92 [8596]P56(x85961,x85962)+~P56(x85961,f844(f844(f308(f915(x85961,x85961)),f844(f844(f251(x85961,x85961),x85963),x85964)),x85962))
% 202.05/201.92 [8601]~P108(x86011)+E(f844(f844(f148(x86011,x86011,f7(x86011)),x86012),f844(f844(f148(x86011,x86011,f7(x86011)),x86013),x86014)),f844(f844(f148(x86011,x86011,f7(x86011)),x86013),f844(f844(f148(x86011,x86011,f7(x86011)),x86012),x86014)))
% 202.05/201.92 [8616]E(x86161,x86162)+~P105(f844(f61(x86163,x86164,f844(f844(f308(x86163),x86161),f188(f916(x86163,a904)))),x86162))
% 202.05/201.92 [8625]E(f844(f844(f134(x86251),f844(f844(f175(x86251),x86252),x86253)),f844(f844(f175(x86251),x86254),f844(f844(f138(x86251),x86252),x86253))),f844(f844(f175(x86251),f844(f844(f79(a908),x86252),x86254)),x86253))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),x86252),x86254)),f844(f189(f909(x86251)),x86253)))
% 202.05/201.92 [8664]P105(f844(f60(x86641),x86642))+~E(x86642,f844(f309(a908,x86641,x86643),f844(f261(a908),f844(f844(f9(a908,a908,a904),f235(a908)),x86644))))
% 202.05/201.92 [8684]~P91(x86841)+E(f844(f142(x86841,x86841,f79(x86841),f844(f844(f79(x86841),x86842),x86843)),x86844),f844(f844(f79(x86841),x86842),f844(f142(x86841,x86841,f79(x86841),x86843),x86844)))
% 202.05/201.92 [8720]P105(f844(f844(f234(f916(x87201,a904)),f844(f263(x87201,x87202),x87203)),f844(f263(x87201,x87202),x87204)))+~P105(f844(f844(f234(f916(f915(x87201,x87202),a904)),x87203),x87204))
% 202.05/201.92 [8732]~P105(f844(f844(f234(a908),x87322),x87324))+P105(f844(f844(f234(f916(x87321,a904)),f844(f172(x87321),f844(f844(f175(x87321),x87322),x87323))),f844(f172(x87321),f844(f844(f175(x87321),x87324),x87323))))
% 202.05/201.92 [8733]~P105(f844(f844(f234(a908),x87334),x87332))+P105(f844(f844(f234(f916(x87331,a904)),f844(f172(x87331),f844(f844(f138(x87331),x87332),x87333))),f844(f172(x87331),f844(f844(f138(x87331),x87334),x87333))))
% 202.05/201.92 [8790]~P105(f844(f60(x87901),f844(f844(f3(f916(x87901,a904)),x87902),x87904)))+P105(f844(f60(x87901),f844(f844(f3(f916(x87901,a904)),x87902),f844(f844(f308(x87901),x87903),x87904))))
% 202.05/201.92 [8832]P105(f844(f844(f328(f915(x88321,x88321)),x88322),f306(x88321,x88323)))+~P105(f844(f844(f328(f915(x88321,x88321)),x88322),f844(f844(f183(f915(x88321,x88321),a904),x88324),x88323)))
% 202.05/201.92 [8918]~P105(f844(f60(x89181),f844(f844(f3(f916(x89181,a904)),x89182),f844(f844(f308(x89181),x89184),x89183))))+P105(f844(f60(x89181),f844(f844(f3(f916(x89181,a904)),x89182),x89183)))
% 202.05/201.92 [9129]~P77(x91291)+P105(f844(f844(f234(x91291),f844(f844(f110(x91291),x91292),f844(f844(f101(x91291),x91293),x91294))),f844(f844(f101(x91291),f844(f844(f110(x91291),x91292),x91293)),f844(f844(f110(x91291),x91292),x91294))))
% 202.05/201.92 [9130]~P108(x91301)+P105(f844(f844(f234(x91301),f844(f844(f233(x91301),x91302),f844(f844(f232(x91301),x91303),x91304))),f844(f844(f232(x91301),f844(f844(f233(x91301),x91302),x91303)),f844(f844(f233(x91301),x91302),x91304))))
% 202.05/201.92 [9277]E(x92771,x92772)+~P105(f844(f844(f328(f915(x92773,x92773)),f844(f844(f251(x92773,x92773),x92771),x92772)),f844(f172(f915(x92773,x92773)),f844(f844(f181(x92773,x92773),x92774),x92774))))
% 202.05/201.92 [9307]~P105(f844(f844(f328(f915(x93071,x93071)),f844(f844(f251(x93071,x93071),x93073),x93072)),f306(x93071,x93074)))+~P36(x93071,f844(f844(f308(f915(x93071,x93071)),f844(f844(f251(x93071,x93071),x93072),x93073)),x93074))
% 202.05/201.92 [9308]~P105(f844(f844(f328(f915(x93081,x93081)),f844(f844(f251(x93081,x93081),x93083),x93082)),f306(x93081,x93084)))+~P56(x93081,f844(f844(f308(f915(x93081,x93081)),f844(f844(f251(x93081,x93081),x93082),x93083)),x93084))
% 202.05/201.92 [9312]E(x93121,x93122)+E(f844(f136(x93123,f844(f844(f10(a904,a904,x93123),a321),f844(a324,x93121))),f844(f844(f151(x93123),x93122),x93124)),f844(f844(f151(x93123),x93122),f844(f136(x93123,f844(f844(f10(a904,a904,x93123),a321),f844(a324,x93121))),x93124)))
% 202.05/201.92 [9340]~P25(x93402,x93401,x93403,f241(f916(x93402,a904)),f241(f916(x93401,a904)))+E(f844(f309(x93401,x93402,f90(x93402,x93401,f241(f916(x93402,a904)),x93403)),x93404),f844(f310(x93402,x93401,x93403),x93404))
% 202.05/201.92 [9355]~P77(x93551)+P105(f844(f844(f234(x93551),f844(f844(f110(x93551),f844(f844(f101(x93551),x93552),x93553)),f844(f844(f101(x93551),x93552),x93554))),f844(f844(f101(x93551),x93552),f844(f844(f110(x93551),x93553),x93554))))
% 202.05/201.92 [9356]~P108(x93561)+P105(f844(f844(f234(x93561),f844(f844(f233(x93561),f844(f844(f232(x93561),x93562),x93563)),f844(f844(f232(x93561),x93562),x93564))),f844(f844(f232(x93561),x93562),f844(f844(f233(x93561),x93563),x93564))))
% 202.05/201.92 [9419]~P25(x94192,x94191,x94194,f241(f916(x94192,a904)),f241(f916(x94191,a904)))+E(f844(f261(x94191),f844(f844(f10(x94192,a904,x94191),x94193),f90(x94192,x94191,f241(f916(x94192,a904)),x94194))),f844(f309(x94192,x94191,x94194),f844(f261(x94192),x94193)))
% 202.05/201.92 [9433]~E(f844(f309(x94332,x94331,x94333),f241(f916(x94332,a904))),f241(f916(x94331,a904)))+P105(f844(f844(f234(f916(x94331,a904)),f844(f78(f916(x94331,a904)),f844(f309(x94332,x94331,x94333),x94334))),f844(f309(x94332,x94331,x94333),f844(f78(f916(x94332,a904)),x94334))))
% 202.05/201.92 [9756]P105(f844(f844(f328(f915(x97561,x97561)),f844(f844(f251(x97561,x97561),x97562),x97563)),f844(f285(x97561,x97561),f844(f844(f288(x97561,x97561,x97561),x97564),f306(x97561,x97564)))))+~P105(f844(f844(f328(f915(x97561,x97561)),f844(f844(f251(x97561,x97561),x97562),x97563)),f844(f844(f288(x97561,x97561,x97561),f844(f285(x97561,x97561),x97564)),f306(x97561,f844(f285(x97561,x97561),x97564)))))
% 202.05/201.92 [9757]~P105(f844(f844(f328(f915(x97571,x97571)),f844(f844(f251(x97571,x97571),x97572),x97573)),f844(f285(x97571,x97571),f844(f844(f288(x97571,x97571,x97571),x97574),f306(x97571,x97574)))))+P105(f844(f844(f328(f915(x97571,x97571)),f844(f844(f251(x97571,x97571),x97572),x97573)),f844(f844(f288(x97571,x97571,x97571),f844(f285(x97571,x97571),x97574)),f306(x97571,f844(f285(x97571,x97571),x97574)))))
% 202.05/201.92 [9778]~P105(f844(f844(f328(x97782),x97784),f844(f283(x97781,x97782),x97783)))+P105(f844(f844(f328(f915(x97781,x97782)),f844(f844(f251(x97781,x97782),f549(x97783,x97781,x97784,x97782)),x97784)),x97783))
% 202.05/201.92 [9779]~P105(f844(f844(f328(x97792),x97794),f844(f283(x97791,x97792),x97793)))+P105(f844(f844(f328(f915(x97791,x97792)),f844(f844(f251(x97791,x97792),f550(x97793,x97791,x97794,x97792)),x97794)),x97793))
% 202.05/201.92 [9805]~P105(f844(f844(f328(x98051),x98054),f844(f844(f110(f916(x98051,a904)),x98052),x98053)))+P105(f844(f844(f844(f110(f916(x98051,a904)),f844(f844(f9(x98051,f916(x98051,a904),a904),f328(x98051)),x98052)),f844(f844(f9(x98051,f916(x98051,a904),a904),f328(x98051)),x98053)),x98054))
% 202.05/201.92 [9806]~P105(f844(f844(f328(x98061),x98064),f844(f844(f101(f916(x98061,a904)),x98062),x98063)))+P105(f844(f844(f844(f101(f916(x98061,a904)),f844(f844(f9(x98061,f916(x98061,a904),a904),f328(x98061)),x98062)),f844(f844(f9(x98061,f916(x98061,a904),a904),f328(x98061)),x98063)),x98064))
% 202.05/201.92 [9886]~P105(f844(f844(f328(f915(x98861,x98861)),f844(f844(f251(x98861,x98861),x98864),x98863)),f844(f844(f288(x98861,x98861,x98861),x98862),f306(x98861,x98862))))+P105(f844(f844(f328(f915(x98861,x98861)),f844(f844(f251(x98861,x98861),f621(x98862,x98863,x98864,x98861)),x98863)),x98862))
% 202.05/201.92 [9921]P105(f844(f844(f328(x99211),x99212),f844(f844(f110(f916(x99211,a904)),x99213),x99214)))+~P105(f844(f844(f844(f110(f916(x99211,a904)),f844(f844(f9(x99211,f916(x99211,a904),a904),f328(x99211)),x99213)),f844(f844(f9(x99211,f916(x99211,a904),a904),f328(x99211)),x99214)),x99212))
% 202.05/201.92 [9922]P105(f844(f844(f328(x99221),x99222),f844(f844(f101(f916(x99221,a904)),x99223),x99224)))+~P105(f844(f844(f844(f101(f916(x99221,a904)),f844(f844(f9(x99221,f916(x99221,a904),a904),f328(x99221)),x99223)),f844(f844(f9(x99221,f916(x99221,a904),a904),f328(x99221)),x99224)),x99222))
% 202.05/201.92 [10205]P31(x102051,f844(f844(f9(x102051,f916(f915(x102051,x102051),a904),f916(x102051,a904)),f844(f844(f10(f916(x102051,f916(f916(f915(x102051,x102051),a904),a904)),f916(f916(f915(x102051,x102051),a904),f916(x102051,a904)),x102051),f9(x102051,f916(f915(x102051,x102051),a904),a904)),f844(f844(f10(f916(x102051,f915(x102051,x102051)),f916(x102051,f916(f916(f915(x102051,x102051),a904),a904)),x102051),f844(f10(f915(x102051,x102051),f916(f916(f915(x102051,x102051),a904),a904),x102051),f328(f915(x102051,x102051)))),f251(x102051,x102051)))),x102052),x102053,x102054)+~P105(f844(f844(f328(f915(f909(x102051),f909(x102051))),f844(f844(f251(f909(x102051),f909(x102051)),x102053),x102054)),f158(x102051,x102052)))
% 202.05/201.92 [10209]P57(x102091,f844(f844(f9(x102091,f916(f915(x102091,x102091),a904),f916(x102091,a904)),f844(f844(f10(f916(x102091,f916(f916(f915(x102091,x102091),a904),a904)),f916(f916(f915(x102091,x102091),a904),f916(x102091,a904)),x102091),f9(x102091,f916(f915(x102091,x102091),a904),a904)),f844(f844(f10(f916(x102091,f915(x102091,x102091)),f916(x102091,f916(f916(f915(x102091,x102091),a904),a904)),x102091),f844(f10(f915(x102091,x102091),f916(f916(f915(x102091,x102091),a904),a904),x102091),f328(f915(x102091,x102091)))),f251(x102091,x102091)))),x102092),x102093,x102094)+~P105(f844(f844(f328(f915(f916(x102091,a904),f916(x102091,a904))),f844(f844(f251(f916(x102091,a904),f916(x102091,a904)),x102093),x102094)),f317(x102091,x102092)))
% 202.05/201.92 [10242]E(x102421,x102422)+~E(f844(f844(f9(x102423,f916(f915(x102423,x102424),a904),f916(x102424,a904)),f844(f844(f10(f916(x102424,f916(f916(f915(x102423,x102424),a904),a904)),f916(f916(f915(x102423,x102424),a904),f916(x102424,a904)),x102423),f9(x102424,f916(f915(x102423,x102424),a904),a904)),f844(f844(f10(f916(x102424,f915(x102423,x102424)),f916(x102424,f916(f916(f915(x102423,x102424),a904),a904)),x102423),f844(f10(f915(x102423,x102424),f916(f916(f915(x102423,x102424),a904),a904),x102424),f328(f915(x102423,x102424)))),f251(x102423,x102424)))),x102421),f844(f844(f9(x102423,f916(f915(x102423,x102424),a904),f916(x102424,a904)),f844(f844(f10(f916(x102424,f916(f916(f915(x102423,x102424),a904),a904)),f916(f916(f915(x102423,x102424),a904),f916(x102424,a904)),x102423),f9(x102424,f916(f915(x102423,x102424),a904),a904)),f844(f844(f10(f916(x102424,f915(x102423,x102424)),f916(x102424,f916(f916(f915(x102423,x102424),a904),a904)),x102423),f844(f10(f915(x102423,x102424),f916(f916(f915(x102423,x102424),a904),a904),x102424),f328(f915(x102423,x102424)))),f251(x102423,x102424)))),x102422))
% 202.05/201.92 [10245]~P31(x102451,f844(f844(f9(x102451,f916(f915(x102451,x102451),a904),f916(x102451,a904)),f844(f844(f10(f916(x102451,f916(f916(f915(x102451,x102451),a904),a904)),f916(f916(f915(x102451,x102451),a904),f916(x102451,a904)),x102451),f9(x102451,f916(f915(x102451,x102451),a904),a904)),f844(f844(f10(f916(x102451,f915(x102451,x102451)),f916(x102451,f916(f916(f915(x102451,x102451),a904),a904)),x102451),f844(f10(f915(x102451,x102451),f916(f916(f915(x102451,x102451),a904),a904),x102451),f328(f915(x102451,x102451)))),f251(x102451,x102451)))),x102454),x102452,x102453)+P105(f844(f844(f328(f915(f909(x102451),f909(x102451))),f844(f844(f251(f909(x102451),f909(x102451)),x102452),x102453)),f158(x102451,x102454)))
% 202.05/201.92 [10246]~P57(x102461,f844(f844(f9(x102461,f916(f915(x102461,x102461),a904),f916(x102461,a904)),f844(f844(f10(f916(x102461,f916(f916(f915(x102461,x102461),a904),a904)),f916(f916(f915(x102461,x102461),a904),f916(x102461,a904)),x102461),f9(x102461,f916(f915(x102461,x102461),a904),a904)),f844(f844(f10(f916(x102461,f915(x102461,x102461)),f916(x102461,f916(f916(f915(x102461,x102461),a904),a904)),x102461),f844(f10(f915(x102461,x102461),f916(f916(f915(x102461,x102461),a904),a904),x102461),f328(f915(x102461,x102461)))),f251(x102461,x102461)))),x102464),x102462,x102463)+P105(f844(f844(f328(f915(f916(x102461,a904),f916(x102461,a904))),f844(f844(f251(f916(x102461,a904),f916(x102461,a904)),x102462),x102463)),f317(x102461,x102464)))
% 202.05/201.92 [7641]~P94(x76411)+E(f844(f844(f80(x76411),f844(f103(x76411),x76412)),f844(f844(f80(x76411),f844(f103(x76411),x76413)),x76414)),f844(f844(f80(x76411),f844(f103(x76411),f844(f844(f80(a1),x76412),x76413))),x76414))
% 202.05/201.92 [7642]~P94(x76421)+E(f844(f844(f79(x76421),f844(f103(x76421),x76422)),f844(f844(f3(x76421),f844(f103(x76421),x76423)),x76424)),f844(f844(f3(x76421),f844(f103(x76421),f844(f844(f79(a1),x76422),x76423))),x76424))
% 202.05/201.92 [7643]~P94(x76431)+E(f844(f844(f79(x76431),f844(f103(x76431),x76432)),f844(f844(f79(x76431),f844(f103(x76431),x76433)),x76434)),f844(f844(f79(x76431),f844(f103(x76431),f844(f844(f79(a1),x76432),x76433))),x76434))
% 202.05/201.92 [7683]~P143(x76831)+E(f844(f165(x76831),f844(f844(f154(x76832,x76831),f844(f18(x76831,x76832),x76833)),x76834)),f844(f844(f80(x76831),f844(f100(x76831),f844(f189(f909(x76832)),x76834))),x76833))
% 202.05/201.92 [7918]E(f844(f267(x79181,f844(f844(f151(f915(a99,x79181)),x79182),x79183)),x79184),f844(f255(a99,x79181),x79182))+~P105(f844(f844(f235(a99),x79184),f844(f250(a99,x79181),x79182)))
% 202.05/201.92 [7958]~P94(x79581)+E(f844(f844(f79(x79581),f844(f103(x79581),x79582)),f844(f844(f3(x79581),x79583),f844(f103(x79581),x79584))),f844(f844(f79(x79581),f844(f103(x79581),f844(f844(f79(a1),x79582),f844(f78(a1),x79584)))),x79583))
% 202.05/201.92 [8089]E(f844(f267(x80891,x80892),f844(f844(f3(a99),x80893),f844(f250(a99,x80891),x80894))),f844(f267(x80891,f844(f844(f151(f915(a99,x80891)),x80894),x80892)),x80893))+P105(f844(f844(f235(a99),x80893),f844(f250(a99,x80891),x80894)))
% 202.05/201.92 [8519]~P105(f844(f844(f328(x85191),x85192),f844(f172(x85191),f114(x85191,x85194))))+P105(f844(f844(f328(x85191),x85192),f844(f172(x85191),f114(x85191,f844(f844(f134(x85191),x85193),x85194)))))
% 202.05/201.92 [8520]~P105(f844(f844(f328(x85201),x85202),f844(f172(x85201),f114(x85201,x85203))))+P105(f844(f844(f328(x85201),x85202),f844(f172(x85201),f114(x85201,f844(f844(f134(x85201),x85203),x85204)))))
% 202.05/201.92 [8538]E(f844(f844(f110(f916(x85381,a904)),f844(f844(f101(f916(x85381,a904)),x85382),x85383)),x85384),f844(f844(f101(f916(x85381,a904)),x85382),f844(f844(f110(f916(x85381,a904)),x85383),x85384)))+~P105(f844(f844(f234(f916(x85381,a904)),x85384),x85382))
% 202.05/201.92 [8846]~E(f844(f844(f110(f916(x88461,a904)),f844(f844(f101(f916(x88461,a904)),x88463),x88464)),x88462),f844(f844(f101(f916(x88461,a904)),x88463),f844(f844(f110(f916(x88461,a904)),x88464),x88462)))+P105(f844(f844(f234(f916(x88461,a904)),x88462),x88463))
% 202.05/201.92 [9134]~P105(f844(f844(f234(f916(x91341,a904)),x91342),f844(f844(f110(f916(x91341,a904)),x91343),x91344)))+P105(f844(f844(f234(f916(x91341,a904)),f844(f844(f3(f916(x91341,a904)),x91342),x91343)),x91344))
% 202.05/201.92 [9249]~E(f844(f309(x92491,x92492,x92493),f241(f916(x92491,a904))),f241(f916(x92492,a904)))+E(f844(f309(x92491,x92492,x92493),f844(f309(x92492,x92491,f90(x92491,x92492,f241(f916(x92491,a904)),x92493)),x92494)),x92494)
% 202.05/201.92 [9254]P105(f844(f844(f234(f916(x92541,a904)),x92542),f844(f844(f110(f916(x92541,a904)),x92543),x92544)))+~P105(f844(f844(f234(f916(x92541,a904)),f844(f844(f3(f916(x92541,a904)),x92542),x92543)),x92544))
% 202.05/201.92 [9336]~P86(x93361)+E(f844(f75(x93361),f844(f844(f8(x93362,x93361),f844(f844(f10(x93361,x93361,x93362),f75(x93361)),x93363)),x93364)),f844(f844(f8(x93362,x93361),f844(f844(f10(x93361,x93361,x93362),f75(x93361)),x93363)),x93364))
% 202.05/201.92 [9509]~P86(x95091)+P105(f844(f844(f234(x95091),f2(x95091)),f844(f844(f8(x95092,x95091),f844(f844(f10(x95091,x95091,x95092),f75(x95091)),x95093)),x95094)))
% 202.05/201.92 [9513]~P66(x95131)+E(f844(f165(x95131),f844(f844(f154(x95132,x95131),f844(f72(x95131,x95131,x95132,f78(x95131)),x95133)),x95134)),f844(f78(x95131),f844(f165(x95131),f844(f844(f154(x95132,x95131),x95133),x95134))))
% 202.05/201.93 [9652]~P86(x96521)+P105(f844(f844(f234(x96521),f844(f75(x96521),f844(f844(f8(x96522,x96521),x96523),x96524))),f844(f844(f8(x96522,x96521),f844(f844(f10(x96521,x96521,x96522),f75(x96521)),x96523)),x96524)))
% 202.05/201.93 [9681]~E(f844(f844(f79(a908),x96811),x96814),f844(f844(f79(a908),x96813),x96812))+P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),f844(f844(f251(a908,a908),x96811),x96812)),f844(f844(f251(a908,a908),x96813),x96814))),a108))
% 202.05/201.93 [9682]~P105(f844(f844(f235(a908),x96821),x96823))+P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),f844(f844(f251(a908,a908),x96821),x96822)),f844(f844(f251(a908,a908),x96823),x96824))),a32))
% 202.05/201.93 [9683]~P105(f844(f844(f235(a908),x96831),x96833))+P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),f844(f844(f251(a908,a908),x96831),x96832)),f844(f844(f251(a908,a908),x96833),x96834))),a70))
% 202.05/201.93 [9830]E(f844(f844(f79(a908),x98301),x98302),f844(f844(f79(a908),x98303),x98304))+~P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),f844(f844(f251(a908,a908),x98301),x98304)),f844(f844(f251(a908,a908),x98303),x98302))),a108))
% 202.05/201.93 [9861]E(f844(f844(f164(x98611),f844(f844(f138(x98611),f844(f189(f909(x98611)),f177(x98611,x98612,x98613))),x98613)),x98614),f844(f844(f164(x98611),x98613),f844(f844(f79(a908),x98614),f844(f189(f909(x98611)),f177(x98611,x98612,x98613)))))+~P105(f844(f844(f235(a908),x98614),f844(f189(f909(x98611)),f844(f844(f138(x98611),f844(f189(f909(x98611)),f177(x98611,x98612,x98613))),x98613))))
% 202.05/201.93 [9877]~P105(f844(f844(f328(x98772),x98774),f844(f844(f38(x98771,f916(x98772,a904)),f241(f916(x98771,a904))),x98773)))+P105(f844(f844(f844(f38(x98771,f916(x98772,a904)),f241(f916(x98771,a904))),f844(f844(f10(f916(x98772,a904),f916(x98772,a904),x98771),f844(f9(x98772,f916(x98772,a904),a904),f328(x98772))),x98773)),x98774))
% 202.05/201.93 [9878]~P105(f844(f844(f328(x98782),x98784),f844(f844(f39(x98781,f916(x98782,a904)),f241(f916(x98781,a904))),x98783)))+P105(f844(f844(f844(f39(x98781,f916(x98782,a904)),f241(f916(x98781,a904))),f844(f844(f10(f916(x98782,a904),f916(x98782,a904),x98781),f844(f9(x98782,f916(x98782,a904),a904),f328(x98782))),x98783)),x98784))
% 202.05/201.93 [9947]~P105(f844(f48(x99471,x99472),f844(f844(f251(a1,a1),x99474),x99473)))+P105(f844(f48(f844(f78(a1),x99471),x99472),f844(f844(f251(a1,a1),f844(f844(f844(f96(a1),f844(f844(a324,x99473),f2(a1))),f844(f78(a1),x99474)),f844(f844(f3(a1),f844(f78(a1),x99474)),f77(a1)))),f844(f844(f844(f96(a1),f844(f844(a324,x99473),f2(a1))),f2(a1)),f844(f844(f3(a1),x99472),x99473)))))
% 202.05/201.93 [9959]P105(f844(f844(f328(x99591),x99592),f844(f844(f38(x99593,f916(x99591,a904)),f241(f916(x99593,a904))),x99594)))+~P105(f844(f844(f844(f38(x99593,f916(x99591,a904)),f241(f916(x99593,a904))),f844(f844(f10(f916(x99591,a904),f916(x99591,a904),x99593),f844(f9(x99591,f916(x99591,a904),a904),f328(x99591))),x99594)),x99592))
% 202.05/201.93 [9960]P105(f844(f844(f328(x99601),x99602),f844(f844(f39(x99603,f916(x99601,a904)),f241(f916(x99603,a904))),x99604)))+~P105(f844(f844(f844(f39(x99603,f916(x99601,a904)),f241(f916(x99603,a904))),f844(f844(f10(f916(x99601,a904),f916(x99601,a904),x99603),f844(f9(x99601,f916(x99601,a904),a904),f328(x99601))),x99604)),x99602))
% 202.05/201.93 [9972]E(f844(f844(f39(a908,f916(x99721,a904)),f241(f916(a908,a904))),x99722),f844(f844(f39(a908,f916(x99721,a904)),f241(f916(a908,a904))),x99723))+~E(f844(f844(f39(a908,f916(x99721,a904)),f844(f301(a908,f2(a908)),f472(x99722,x99724,x99723,x99721))),x99723),f844(f844(f39(a908,f916(x99721,a904)),f844(f301(a908,f2(a908)),f844(f844(f79(a908),f472(x99722,x99724,x99723,x99721)),x99724))),x99722))
% 202.05/201.93 [10319]~P105(f844(f844(f234(f916(f915(x103191,x103192),a904)),x103193),x103194))+P105(f844(f844(f234(f916(x103191,f916(x103192,a904))),f844(f844(f9(x103191,f916(f915(x103191,x103192),a904),f916(x103192,a904)),f844(f844(f10(f916(x103192,f916(f916(f915(x103191,x103192),a904),a904)),f916(f916(f915(x103191,x103192),a904),f916(x103192,a904)),x103191),f9(x103192,f916(f915(x103191,x103192),a904),a904)),f844(f844(f10(f916(x103192,f915(x103191,x103192)),f916(x103192,f916(f916(f915(x103191,x103192),a904),a904)),x103191),f844(f10(f915(x103191,x103192),f916(f916(f915(x103191,x103192),a904),a904),x103192),f328(f915(x103191,x103192)))),f251(x103191,x103192)))),x103193)),f844(f844(f9(x103191,f916(f915(x103191,x103192),a904),f916(x103192,a904)),f844(f844(f10(f916(x103192,f916(f916(f915(x103191,x103192),a904),a904)),f916(f916(f915(x103191,x103192),a904),f916(x103192,a904)),x103191),f9(x103192,f916(f915(x103191,x103192),a904),a904)),f844(f844(f10(f916(x103192,f915(x103191,x103192)),f916(x103192,f916(f916(f915(x103191,x103192),a904),a904)),x103191),f844(f10(f915(x103191,x103192),f916(f916(f915(x103191,x103192),a904),a904),x103192),f328(f915(x103191,x103192)))),f251(x103191,x103192)))),x103194)))
% 202.05/201.93 [10335]P105(f844(f844(f234(f916(f915(x103351,x103352),a904)),x103353),x103354))+~P105(f844(f844(f234(f916(x103351,f916(x103352,a904))),f844(f844(f9(x103351,f916(f915(x103351,x103352),a904),f916(x103352,a904)),f844(f844(f10(f916(x103352,f916(f916(f915(x103351,x103352),a904),a904)),f916(f916(f915(x103351,x103352),a904),f916(x103352,a904)),x103351),f9(x103352,f916(f915(x103351,x103352),a904),a904)),f844(f844(f10(f916(x103352,f915(x103351,x103352)),f916(x103352,f916(f916(f915(x103351,x103352),a904),a904)),x103351),f844(f10(f915(x103351,x103352),f916(f916(f915(x103351,x103352),a904),a904),x103352),f328(f915(x103351,x103352)))),f251(x103351,x103352)))),x103353)),f844(f844(f9(x103351,f916(f915(x103351,x103352),a904),f916(x103352,a904)),f844(f844(f10(f916(x103352,f916(f916(f915(x103351,x103352),a904),a904)),f916(f916(f915(x103351,x103352),a904),f916(x103352,a904)),x103351),f9(x103352,f916(f915(x103351,x103352),a904),a904)),f844(f844(f10(f916(x103352,f915(x103351,x103352)),f916(x103352,f916(f916(f915(x103351,x103352),a904),a904)),x103351),f844(f10(f915(x103351,x103352),f916(f916(f915(x103351,x103352),a904),a904),x103352),f328(f915(x103351,x103352)))),f251(x103351,x103352)))),x103354)))
% 202.05/201.93 [9383]~P105(f844(f844(f328(f915(x93831,x93831)),x93832),f306(x93831,x93834)))+P105(f844(f844(f328(f915(x93831,x93831)),x93832),f306(x93831,f844(f844(f110(f916(f915(x93831,x93831),a904)),x93833),x93834))))
% 202.05/201.93 [9384]~P105(f844(f844(f328(f915(x93841,x93841)),x93842),f306(x93841,x93843)))+P105(f844(f844(f328(f915(x93841,x93841)),x93842),f306(x93841,f844(f844(f110(f916(f915(x93841,x93841),a904)),x93843),x93844))))
% 202.05/201.93 [10059]~P105(f844(f844(f234(a908),f844(f844(f79(a908),x100591),x100594)),f844(f844(f79(a908),x100593),x100592)))+P105(f844(f844(f234(a1),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x100591),x100592)),f188(f916(f915(a908,a908),a904)))))),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x100593),x100594)),f188(f916(f915(a908,a908),a904)))))))
% 202.05/201.93 [10060]~P105(f844(f844(f235(a908),f844(f844(f79(a908),x100601),x100604)),f844(f844(f79(a908),x100603),x100602)))+P105(f844(f844(f235(a1),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x100601),x100602)),f188(f916(f915(a908,a908),a904)))))),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x100603),x100604)),f188(f916(f915(a908,a908),a904)))))))
% 202.05/201.93 [10148]P105(f844(f844(f234(a908),f844(f844(f79(a908),x101481),x101482)),f844(f844(f79(a908),x101483),x101484)))+~P105(f844(f844(f234(a1),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x101481),x101484)),f188(f916(f915(a908,a908),a904)))))),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x101483),x101482)),f188(f916(f915(a908,a908),a904)))))))
% 202.05/201.93 [10149]P105(f844(f844(f235(a908),f844(f844(f79(a908),x101491),x101492)),f844(f844(f79(a908),x101493),x101494)))+~P105(f844(f844(f235(a1),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x101491),x101494)),f188(f916(f915(a908,a908),a904)))))),f844(a88,f844(f284(f915(a908,a908),f915(a908,a908),a108),f844(f844(f308(f915(a908,a908)),f844(f844(f251(a908,a908),x101493),x101492)),f188(f916(f915(a908,a908),a904)))))))
% 202.05/201.93 [10191]P105(f844(f844(f234(f916(x101911,a904)),f844(f844(f39(a908,f916(x101911,a904)),f241(f916(a908,a904))),x101912)),f844(f844(f39(a908,f916(x101911,a904)),f241(f916(a908,a904))),x101913)))+~P105(f844(f844(f234(f916(x101911,a904)),f844(f844(f39(a908,f916(x101911,a904)),f844(f301(a908,f2(a908)),f473(x101913,x101914,x101912,x101911))),x101912)),f844(f844(f39(a908,f916(x101911,a904)),f844(f301(a908,f2(a908)),f844(f844(f79(a908),f473(x101913,x101914,x101912,x101911)),x101914))),x101913)))
% 202.05/201.93 [10249]P105(f844(f844(f234(a99),x102494),f2(a99)))+E(f844(f844(f258(f915(a99,a99),f915(x102491,f916(a911,a322)),f915(a99,a99),f915(f916(a99,f916(a904,f912(f910(x102491)))),f915(a99,a99))),f844(x102492,x102493)),f844(f844(f10(f916(f916(a99,f916(a904,f912(f910(x102491)))),f916(f915(a99,a99),f915(f916(a99,f916(a904,f912(f910(x102491)))),f915(a99,a99)))),f916(f915(a99,a99),f915(f916(a99,f916(a904,f912(f910(x102491)))),f915(a99,a99))),f915(x102491,f916(a911,a322))),f844(f258(f915(a99,a99),f916(a99,f916(a904,f912(f910(x102491)))),f915(a99,a99),f915(f916(a99,f916(a904,f912(f910(x102491)))),f915(a99,a99))),f276(x102491,x102492,f844(f844(f3(a99),x102494),f77(a99)),x102493))),f844(f844(f10(f916(f916(a99,f916(a904,f912(f910(x102491)))),f916(a99,f916(a904,f912(f910(x102491))))),f916(f916(a99,f916(a904,f912(f910(x102491)))),f916(f915(a99,a99),f915(f916(a99,f916(a904,f912(f910(x102491)))),f915(a99,a99)))),f915(x102491,f916(a911,a322))),f844(f10(f916(a99,f916(a904,f912(f910(x102491)))),f916(f915(a99,a99),f915(f916(a99,f916(a904,f912(f910(x102491)))),f915(a99,a99))),f916(a99,f916(a904,f912(f910(x102491))))),f251(f916(a99,f916(a904,f912(f910(x102491)))),f915(a99,a99)))),f844(f844(f10(f916(a99,f916(a904,f912(f910(x102491)))),f916(f916(a99,f916(a904,f912(f910(x102491)))),f916(a99,f916(a904,f912(f910(x102491))))),f915(x102491,f916(a911,a322))),f43(x102491)),f844(f844(f10(x102491,f916(a99,f916(a904,f912(f910(x102491)))),f915(x102491,f916(a911,a322))),f41(x102491)),f250(x102491,f916(a911,a322))))))),f276(x102491,x102492,x102494,x102493))
% 202.05/201.93 [10309]~P105(f844(f844(f328(x103092),x103094),f844(f283(x103091,x103092),x103093)))+P105(f844(f249(x103091,x103092,f844(f844(f9(x103091,f916(f915(x103091,x103092),a904),f916(x103092,a904)),f844(f844(f10(f916(x103092,f916(f916(f915(x103091,x103092),a904),a904)),f916(f916(f915(x103091,x103092),a904),f916(x103092,a904)),x103091),f9(x103092,f916(f915(x103091,x103092),a904),a904)),f844(f844(f10(f916(x103092,f915(x103091,x103092)),f916(x103092,f916(f916(f915(x103091,x103092),a904),a904)),x103091),f844(f10(f915(x103091,x103092),f916(f916(f915(x103091,x103092),a904),a904),x103092),f328(f915(x103091,x103092)))),f251(x103091,x103092)))),x103093)),x103094))
% 202.05/201.93 [10310]~P105(f844(f844(f328(x103101),x103104),f844(f263(x103101,x103102),x103103)))+P105(f844(f248(x103101,x103102,f844(f844(f9(x103101,f916(f915(x103101,x103102),a904),f916(x103102,a904)),f844(f844(f10(f916(x103102,f916(f916(f915(x103101,x103102),a904),a904)),f916(f916(f915(x103101,x103102),a904),f916(x103102,a904)),x103101),f9(x103102,f916(f915(x103101,x103102),a904),a904)),f844(f844(f10(f916(x103102,f915(x103101,x103102)),f916(x103102,f916(f916(f915(x103101,x103102),a904),a904)),x103101),f844(f10(f915(x103101,x103102),f916(f916(f915(x103101,x103102),a904),a904),x103102),f328(f915(x103101,x103102)))),f251(x103101,x103102)))),x103103)),x103104))
% 202.05/201.93 [10322]P105(f844(f844(f328(x103221),x103222),f844(f283(x103223,x103221),x103224)))+~P105(f844(f249(x103223,x103221,f844(f844(f9(x103223,f916(f915(x103223,x103221),a904),f916(x103221,a904)),f844(f844(f10(f916(x103221,f916(f916(f915(x103223,x103221),a904),a904)),f916(f916(f915(x103223,x103221),a904),f916(x103221,a904)),x103223),f9(x103221,f916(f915(x103223,x103221),a904),a904)),f844(f844(f10(f916(x103221,f915(x103223,x103221)),f916(x103221,f916(f916(f915(x103223,x103221),a904),a904)),x103223),f844(f10(f915(x103223,x103221),f916(f916(f915(x103223,x103221),a904),a904),x103221),f328(f915(x103223,x103221)))),f251(x103223,x103221)))),x103224)),x103222))
% 202.05/201.93 [10323]P105(f844(f844(f328(x103231),x103232),f844(f263(x103231,x103233),x103234)))+~P105(f844(f248(x103231,x103233,f844(f844(f9(x103231,f916(f915(x103231,x103233),a904),f916(x103233,a904)),f844(f844(f10(f916(x103233,f916(f916(f915(x103231,x103233),a904),a904)),f916(f916(f915(x103231,x103233),a904),f916(x103233,a904)),x103231),f9(x103233,f916(f915(x103231,x103233),a904),a904)),f844(f844(f10(f916(x103233,f915(x103231,x103233)),f916(x103233,f916(f916(f915(x103231,x103233),a904),a904)),x103231),f844(f10(f915(x103231,x103233),f916(f916(f915(x103231,x103233),a904),a904),x103233),f328(f915(x103231,x103233)))),f251(x103231,x103233)))),x103234)),x103232))
% 202.05/201.93 [9983]P105(f844(f160(x99831,x99832),x99833))+~P105(f844(f160(x99831,f844(f844(f20(x99831,a904,a904),f844(f844(f10(a904,f916(a904,a904),x99831),a325),x99834)),x99832)),x99833))
% 202.05/201.93 [9984]P105(f844(f160(x99841,x99842),x99843))+~P105(f844(f160(x99841,f844(f844(f20(x99841,a904,a904),f844(f844(f10(a904,f916(a904,a904),x99841),a325),x99842)),x99844)),x99843))
% 202.05/201.93 [10071]~P112(x100711)+E(f844(f844(f80(x100711),f844(f844(f79(x100711),f77(x100711)),f77(x100711))),f844(f844(f8(a908,x100711),f844(f844(f10(x100711,x100711,a908),f844(f79(x100711),x100712)),f844(f844(f9(a908,x100711,x100711),f844(f844(f10(x100711,f916(x100711,x100711),a908),f80(x100711)),f100(x100711))),x100713))),f844(f281(a908),x100714))),f844(f844(f80(x100711),f844(f100(x100711),x100714)),f844(f844(f79(x100711),x100712),f844(f844(f79(x100711),x100712),f844(f844(f80(x100711),f844(f100(x100711),f844(f844(f3(a908),x100714),f77(a908)))),x100713)))))
% 202.05/201.93 [10212]P105(f844(x102121,f560(x102122,x102123,x102124,x102121)))+P36(x102122,f844(f261(f915(x102122,x102122)),f844(f256(x102122,x102122,a904),f844(f844(f10(f916(x102122,a904),f916(x102122,a904),x102122),f844(f20(x102122,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102122),a325),x102121))),f844(f844(f9(x102122,f916(x102122,x102122),f916(x102122,a904)),f844(f844(f10(f916(x102122,a904),f916(f916(x102122,x102122),f916(x102122,a904)),x102122),f10(x102122,a904,x102122)),a324)),x102123)))))
% 202.05/201.93 [10226]~P105(f844(f844(f235(a908),f844(x102264,f844(x102263,f560(x102261,x102263,x102264,x102262)))),f844(x102264,f560(x102261,x102263,x102264,x102262))))+P36(x102261,f844(f261(f915(x102261,x102261)),f844(f256(x102261,x102261,a904),f844(f844(f10(f916(x102261,a904),f916(x102261,a904),x102261),f844(f20(x102261,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102261),a325),x102262))),f844(f844(f9(x102261,f916(x102261,x102261),f916(x102261,a904)),f844(f844(f10(f916(x102261,a904),f916(f916(x102261,x102261),f916(x102261,a904)),x102261),f10(x102261,a904,x102261)),a324)),x102263)))))
% 202.05/201.93 [10296]~P4(x102961)+E(f36(x102961,f844(f261(x102961),f844(f844(f10(f916(f916(x102962,x102961),a904),a904,x102961),f86(f916(x102962,x102961))),f844(f844(f10(f916(f916(x102962,x102961),a904),f916(f916(x102962,x102961),a904),x102961),f844(f20(f916(x102962,x102961),a904,a904),f844(f844(f10(a904,f916(a904,a904),f916(x102962,x102961)),a325),f844(f844(f9(f916(x102962,x102961),f916(f916(x102962,x102961),a904),a904),f328(f916(x102962,x102961))),x102963)))),f844(f844(f9(x102961,f916(f916(x102962,x102961),x102961),f916(f916(x102962,x102961),a904)),f844(f844(f10(f916(x102961,a904),f916(f916(f916(x102962,x102961),x102961),f916(f916(x102962,x102961),a904)),x102961),f10(x102961,a904,f916(x102962,x102961))),a324)),f844(f844(f9(f916(x102962,x102961),x102962,x102961),f7(f916(x102962,x102961))),x102964)))))),f844(f36(f916(x102962,x102961),x102963),x102964))
% 202.05/201.93 [10297]~P4(x102971)+E(f36(x102971,f844(f261(x102971),f844(f844(f10(f916(f916(x102972,x102971),a904),a904,x102971),f86(f916(x102972,x102971))),f844(f844(f10(f916(f916(x102972,x102971),a904),f916(f916(x102972,x102971),a904),x102971),f844(f20(f916(x102972,x102971),a904,a904),f844(f844(f10(a904,f916(a904,a904),f916(x102972,x102971)),a325),f844(f844(f9(f916(x102972,x102971),f916(f916(x102972,x102971),a904),a904),f328(f916(x102972,x102971))),x102973)))),f844(f844(f9(x102971,f916(f916(x102972,x102971),x102971),f916(f916(x102972,x102971),a904)),f844(f844(f10(f916(x102971,a904),f916(f916(f916(x102972,x102971),x102971),f916(f916(x102972,x102971),a904)),x102971),f10(x102971,a904,f916(x102972,x102971))),a324)),f844(f844(f9(f916(x102972,x102971),x102972,x102971),f7(f916(x102972,x102971))),x102974)))))),f844(f36(f916(x102972,x102971),x102973),x102974))
% 202.05/201.93 [10298]~P4(x102981)+E(f37(x102981,f844(f261(x102981),f844(f844(f10(f916(f916(x102982,x102981),a904),a904,x102981),f86(f916(x102982,x102981))),f844(f844(f10(f916(f916(x102982,x102981),a904),f916(f916(x102982,x102981),a904),x102981),f844(f20(f916(x102982,x102981),a904,a904),f844(f844(f10(a904,f916(a904,a904),f916(x102982,x102981)),a325),f844(f844(f9(f916(x102982,x102981),f916(f916(x102982,x102981),a904),a904),f328(f916(x102982,x102981))),x102983)))),f844(f844(f9(x102981,f916(f916(x102982,x102981),x102981),f916(f916(x102982,x102981),a904)),f844(f844(f10(f916(x102981,a904),f916(f916(f916(x102982,x102981),x102981),f916(f916(x102982,x102981),a904)),x102981),f10(x102981,a904,f916(x102982,x102981))),a324)),f844(f844(f9(f916(x102982,x102981),x102982,x102981),f7(f916(x102982,x102981))),x102984)))))),f844(f37(f916(x102982,x102981),x102983),x102984))
% 202.05/201.93 [10299]~P4(x102991)+E(f37(x102991,f844(f261(x102991),f844(f844(f10(f916(f916(x102992,x102991),a904),a904,x102991),f86(f916(x102992,x102991))),f844(f844(f10(f916(f916(x102992,x102991),a904),f916(f916(x102992,x102991),a904),x102991),f844(f20(f916(x102992,x102991),a904,a904),f844(f844(f10(a904,f916(a904,a904),f916(x102992,x102991)),a325),f844(f844(f9(f916(x102992,x102991),f916(f916(x102992,x102991),a904),a904),f328(f916(x102992,x102991))),x102993)))),f844(f844(f9(x102991,f916(f916(x102992,x102991),x102991),f916(f916(x102992,x102991),a904)),f844(f844(f10(f916(x102991,a904),f916(f916(f916(x102992,x102991),x102991),f916(f916(x102992,x102991),a904)),x102991),f10(x102991,a904,f916(x102992,x102991))),a324)),f844(f844(f9(f916(x102992,x102991),x102992,x102991),f7(f916(x102992,x102991))),x102994)))))),f844(f37(f916(x102992,x102991),x102993),x102994))
% 202.05/201.93 [10348]~P105(f844(f844(f328(f915(x103481,x103481)),f844(f844(f251(x103481,x103481),x103483),x103484)),f844(f844(f110(f916(f915(x103481,x103481),a904)),x103482),f306(x103481,f188(f916(f915(x103481,x103481),a904))))))+P105(f844(f844(f844(f844(f110(f916(x103481,f916(x103481,a904))),f844(f844(f9(x103481,f916(f915(x103481,x103481),a904),f916(x103481,a904)),f844(f844(f10(f916(x103481,f916(f916(f915(x103481,x103481),a904),a904)),f916(f916(f915(x103481,x103481),a904),f916(x103481,a904)),x103481),f9(x103481,f916(f915(x103481,x103481),a904),a904)),f844(f844(f10(f916(x103481,f915(x103481,x103481)),f916(x103481,f916(f916(f915(x103481,x103481),a904),a904)),x103481),f844(f10(f915(x103481,x103481),f916(f916(f915(x103481,x103481),a904),a904),x103481),f328(f915(x103481,x103481)))),f251(x103481,x103481)))),x103482)),a324),x103483),x103484))
% 202.05/201.93 [10358]P105(f844(f844(f328(f915(x103581,x103581)),f844(f844(f251(x103581,x103581),x103582),x103583)),f844(f844(f110(f916(f915(x103581,x103581),a904)),x103584),f306(x103581,f188(f916(f915(x103581,x103581),a904))))))+~P105(f844(f844(f844(f844(f110(f916(x103581,f916(x103581,a904))),f844(f844(f9(x103581,f916(f915(x103581,x103581),a904),f916(x103581,a904)),f844(f844(f10(f916(x103581,f916(f916(f915(x103581,x103581),a904),a904)),f916(f916(f915(x103581,x103581),a904),f916(x103581,a904)),x103581),f9(x103581,f916(f915(x103581,x103581),a904),a904)),f844(f844(f10(f916(x103581,f915(x103581,x103581)),f916(x103581,f916(f916(f915(x103581,x103581),a904),a904)),x103581),f844(f10(f915(x103581,x103581),f916(f916(f915(x103581,x103581),a904),a904),x103581),f328(f915(x103581,x103581)))),f251(x103581,x103581)))),x103584)),a324),x103582),x103583))
% 202.05/201.93 [10306]E(f844(f844(f151(f909(x103061)),f844(f844(f151(x103061),x103062),f844(f142(f909(x103061),f909(x103061),f134(x103061),f113(x103061)),f844(f844(f154(f909(x103061),f909(x103061)),f156(f909(x103061),x103061,f113(x103061),f844(f844(f10(f909(x103061),f916(f909(x103061),f909(x103061)),x103061),f18(f909(x103061),f909(x103061))),f844(f844(f9(x103061,f909(x103061),f909(x103061)),f151(x103061)),f113(x103061))))),x103063)))),f179(x103061,f844(f844(f151(f909(x103061)),x103064),f844(f142(f909(f909(x103061)),f909(f909(x103061)),f134(f909(x103061)),f113(f909(x103061))),f844(f844(f154(f909(x103061),f909(f909(x103061))),f156(f909(f909(x103061)),x103061,f113(f909(x103061)),f844(f18(f916(f909(x103061),f909(f909(x103061))),x103061),f844(f844(f9(f909(x103061),f909(f909(x103061)),f909(f909(x103061))),f151(f909(x103061))),f113(f909(x103061)))))),x103063))))),f179(x103061,f844(f844(f151(f909(x103061)),f844(f844(f151(x103061),x103062),x103064)),x103063)))+~P105(f844(f314(f909(f909(x103061)),f180(x103061)),f844(f844(f151(f909(x103061)),f844(f844(f151(x103061),x103062),x103064)),x103063)))
% 202.05/201.93 [10347]~P105(f844(f60(x103472),f844(f261(x103472),x103474)))+P105(f844(f60(x103471),f844(f261(x103471),f844(f844(f10(f916(x103472,a904),a904,x103471),f86(x103472)),f844(f844(f9(x103471,f916(x103472,a904),f916(x103472,a904)),f844(f844(f10(f916(x103472,f916(a904,a904)),f916(f916(x103472,a904),f916(x103472,a904)),x103471),f20(x103472,a904,a904)),f844(f844(f10(f916(x103472,a904),f916(x103472,f916(a904,a904)),x103471),f844(f10(a904,f916(a904,a904),x103472),a325)),f844(f844(f9(x103471,f916(x103472,x103471),f916(x103472,a904)),f844(f844(f10(f916(x103471,a904),f916(f916(x103472,x103471),f916(x103472,a904)),x103471),f10(x103471,a904,x103472)),a324)),x103473)))),x103474)))))
% 202.05/201.93 [8884]P24(x88841,x88842,x88843,x88844)+~P25(x88841,x88842,x88843,x88844,x88845)
% 202.05/201.93 [5391]E(x53911,x53912)+~E(f169(x53913,x53911,x53914),f169(x53913,x53912,x53915))
% 202.05/201.93 [5392]E(x53921,x53922)+~E(f126(x53923,x53924,x53921),f126(x53923,x53925,x53922))
% 202.05/201.93 [5393]E(x53931,x53932)+~E(f126(x53933,x53931,x53934),f126(x53933,x53932,x53935))
% 202.05/201.93 [8220]~E(f844(x82203,x82204),x82205)+E(f74(x82201,x82202,x82203,x82204,x82205),x82203)
% 202.05/201.93 [8742]~E(f74(x87424,x87425,x87421,x87422,x87423),x87421)+E(f844(x87421,x87422),x87423)
% 202.05/201.93 [9353]~P25(x93532,x93531,x93534,x93533,x93535)+P25(x93531,x93532,f76(x93532,x93531,x93533,x93534),x93535,x93533)
% 202.05/201.93 [9354]~P25(x93542,x93541,x93544,x93543,x93545)+P25(x93541,x93542,f90(x93542,x93541,x93543,x93544),x93545,x93543)
% 202.05/201.93 [6202]P105(f844(f249(x62021,x62022,x62023),x62024))+~P105(f844(f844(x62023,x62025),x62024))
% 202.05/201.93 [6204]P105(f844(f248(x62041,x62042,x62043),x62044))+~P105(f844(f844(x62043,x62044),x62045))
% 202.05/201.93 [6683]~E(x66835,f2(a99))+E(f844(f196(x66831,x66832,x66833,x66834),x66835),f124(x66832))
% 202.05/201.93 [6684]~E(x66845,f2(a99))+E(f844(f198(x66841,x66842,x66843,x66844),x66845),f115(x66842))
% 202.05/201.93 [6825]~E(x68253,f2(a99))+E(f844(f272(x68251,x68252,x68253,x68254),x68255),f844(f251(x68251,x68252),x68255))
% 202.05/201.93 [7874]~P19(x78744,x78741,x78742,x78745)+E(f844(f72(x78741,x78741,x78741,f844(x78742,x78743)),f844(x78742,x78743)),f844(x78742,x78743))
% 202.05/201.93 [8258]~P15(x82585,x82581,x82582)+E(f844(f72(x82581,x82581,x82581,f844(x82582,x82583)),f844(x82582,x82584)),f844(f72(x82581,x82581,x82581,f844(x82582,x82584)),f844(x82582,x82583)))
% 202.05/201.93 [8578]P105(f844(f844(f328(f915(x85781,x85781)),f844(f844(f251(x85781,x85781),x85782),x85783)),f320(x85781,x85784,x85785)))+~P105(f844(f844(f235(a908),f844(x85784,x85782)),f844(x85784,x85783)))
% 202.05/201.93 [8670]~P105(f844(f844(f328(x86704),x86703),f298(x86704,x86701,x86702,x86705)))+P105(f844(f844(x86701,x86702),x86703))
% 202.05/201.93 [8671]~P105(f844(f844(f328(x86714),x86713),f289(x86714,x86711,x86712,x86715)))+P105(f844(f844(x86711,x86712),x86713))
% 202.05/201.93 [8672]~P105(f844(f844(f328(x86724),x86722),f298(x86724,x86721,x86725,x86723)))+P105(f844(f844(x86721,x86722),x86723))
% 202.05/201.93 [8673]~P105(f844(f844(f328(x86734),x86732),f289(x86734,x86731,x86735,x86733)))+P105(f844(f844(x86731,x86732),x86733))
% 202.05/201.93 [8754]~P25(x87541,x87543,x87545,x87542,x87544)+E(f844(f34(x87541),x87542),f844(f34(x87543),x87544))
% 202.05/201.93 [8802]~P25(x88021,x88022,x88023,x88024,x88025)+E(f844(f309(x88021,x88022,x88023),x88024),x88025)
% 202.05/201.93 [8822]~P55(x88222,x88221,x88225,x88223,x88224)+E(f844(f309(x88221,x88222,x88223),x88224),f241(f916(x88222,a904)))
% 202.05/201.93 [9266]~P33(x92661,x92662,x92663,x92664,x92665)+P33(x92661,x92662,x92663,f844(f168(x92661),x92664),f844(f168(x92662),x92665))
% 202.05/201.93 [9268]~P33(x92681,x92682,x92683,f844(f168(x92681),x92684),x92685)+P33(x92681,x92682,x92683,x92684,f844(f168(x92682),x92685))
% 202.05/201.93 [9269]~P33(x92691,x92692,x92693,x92694,f844(f168(x92692),x92695))+P33(x92691,x92692,x92693,f844(f168(x92691),x92694),x92695)
% 202.05/201.93 [9275]P33(x92751,x92752,x92753,x92754,x92755)+~P33(x92751,x92752,x92753,f844(f168(x92751),x92754),f844(f168(x92752),x92755))
% 202.05/201.93 [9671]P105(f844(f844(f328(f915(f909(x96711),f909(x96711))),f844(f844(f251(f909(x96711),f909(x96711)),f844(f844(f151(x96711),x96712),x96713)),f844(f844(f151(x96711),x96712),x96714))),f157(x96711,x96715)))+~P105(f844(f844(f328(f915(f909(x96711),f909(x96711))),f844(f844(f251(f909(x96711),f909(x96711)),x96713),x96714)),f157(x96711,x96715)))
% 202.05/201.93 [9672]P105(f844(f844(f328(f915(f909(x96721),f909(x96721))),f844(f844(f251(f909(x96721),f909(x96721)),f844(f844(f134(x96721),x96722),x96723)),f844(f844(f134(x96721),x96722),x96724))),f147(x96721,x96725)))+~P105(f844(f844(f328(f915(f909(x96721),f909(x96721))),f844(f844(f251(f909(x96721),f909(x96721)),x96723),x96724)),f147(x96721,x96725)))
% 202.05/201.93 [9868]E(f844(f844(f151(x98681),f644(x98682,x98683,x98684,x98685,x98681)),f645(x98682,x98683,x98684,x98685,x98681)),x98685)+~P105(f844(f844(f328(f915(f909(x98681),f909(x98681))),f844(f844(f251(f909(x98681),f909(x98681)),x98685),f844(f844(f151(x98681),x98684),x98683))),f158(x98681,x98682)))
% 202.05/201.93 [9889]E(f844(f844(f151(x98891),f642(x98892,x98893,x98894,x98895,x98891)),f643(x98892,x98893,x98894,x98895,x98891)),x98893)+~P105(f844(f844(f328(f915(f909(x98891),f909(x98891))),f844(f844(f251(f909(x98891),f909(x98891)),f844(f844(f151(x98891),x98895),x98894)),x98893)),f158(x98891,x98892)))
% 202.05/201.93 [10034]~P105(f844(f844(f328(f915(f909(x100341),f909(x100341))),f844(f844(f251(f909(x100341),f909(x100341)),f844(f844(f151(x100341),x100345),x100342)),x100344)),f158(x100341,x100343)))+P105(f844(f844(f328(f915(f909(x100341),f909(x100341))),f844(f844(f251(f909(x100341),f909(x100341)),x100342),f643(x100343,x100344,x100342,x100345,x100341))),f158(x100341,x100343)))
% 202.05/201.93 [10115]~P105(f844(f844(f328(f915(f909(x101151),f909(x101151))),f844(f844(f251(f909(x101151),f909(x101151)),x101155),f844(f844(f151(x101151),x101154),x101153))),f158(x101151,x101152)))+P105(f844(f844(f328(f915(f909(x101151),f909(x101151))),f844(f844(f251(f909(x101151),f909(x101151)),f645(x101152,x101153,x101154,x101155,x101151)),x101153)),f158(x101151,x101152)))
% 202.05/201.93 [10300]P105(f844(f844(f328(f915(x103001,x103001)),f844(f844(f251(x103001,x103001),f844(x103002,f844(f844(f79(a908),x103003),x103004))),f844(x103002,x103003))),f306(x103001,x103005)))+~P105(f844(f844(f328(f915(x103001,x103001)),f844(f844(f251(x103001,x103001),f844(x103002,f844(a112,f605(x103004,x103003,x103005,x103002,x103001)))),f844(x103002,f605(x103004,x103003,x103005,x103002,x103001)))),f306(x103001,x103005)))
% 202.05/201.93 [5359]E(x53591,x53592)+~E(f844(f844(f151(x53593),x53594),x53591),f844(f844(f151(x53593),x53595),x53592))
% 202.05/201.93 [5360]E(x53601,x53602)+~E(f844(f844(f151(x53603),x53601),x53604),f844(f844(f151(x53603),x53602),x53605))
% 202.05/201.93 [5408]P105(f844(x54081,x54082))+~E(f844(f136(x54083,x54081),x54084),f844(f844(f151(x54083),x54082),x54085))
% 202.05/201.93 [5409]P105(f844(x54091,x54092))+~E(f844(f844(f151(x54093),x54092),x54094),f844(f136(x54093,x54091),x54095))
% 202.05/201.93 [5567]~E(f844(f844(f138(x55671),x55673),x55672),f844(f844(f151(x55671),x55674),x55675))+E(f844(f844(f164(x55671),x55672),x55673),x55674)
% 202.05/201.93 [5707]~P13(x57074,x57075,x57071)+E(f844(f844(x57071,x57072),f844(f844(x57071,x57072),x57073)),f844(f844(x57071,x57072),x57073))
% 202.05/201.93 [6261]~E(x62614,f2(a99))+E(f844(f844(f117(x62611,x62612,x62613),x62614),x62615),f844(f844(f251(f909(x62612),x62611),f113(x62612)),x62615))
% 202.05/201.93 [6333]~P108(x63332)+~E(f844(f844(f148(x63331,x63332,x63333),x63334),x63335),f113(x63331))
% 202.05/201.93 [6724]E(x67241,x67242)+~E(f844(f844(f134(x67243),x67244),f844(f844(f151(x67243),x67241),f113(x67243))),f844(f844(f134(x67243),x67245),f844(f844(f151(x67243),x67242),f113(x67243))))
% 202.05/201.93 [6725]E(x67251,x67252)+~E(f844(f844(f134(x67253),x67251),f844(f844(f151(x67253),x67254),f113(x67253))),f844(f844(f134(x67253),x67252),f844(f844(f151(x67253),x67255),f113(x67253))))
% 202.05/201.93 [7041]E(f844(f844(f308(x70411),f844(x70412,x70413)),f844(f309(x70414,x70411,x70412),x70415)),f844(f309(x70414,x70411,x70412),x70415))+~P105(f844(f844(f328(x70414),x70413),x70415))
% 202.05/201.93 [7048]~P105(f844(x70484,f844(x70483,x70485)))+P105(f844(f844(f310(x70481,x70482,x70483),x70484),x70485))
% 202.05/201.93 [7051]~P105(f844(f844(x70513,x70515),x70514))+P105(f844(f844(f242(x70511,x70512,x70513),x70514),x70515))
% 202.05/201.93 [7148]~E(f844(f309(x71481,x71482,x71483),x71484),x71485)+E(f844(f309(f916(x71481,a904),f916(x71482,a904),f309(x71481,x71482,x71483)),f844(f307(x71481),x71484)),f844(f307(x71482),x71485))
% 202.05/201.93 [7176]E(f844(f270(x71761,x71762,x71763,x71764),x71765),f844(x71764,x71765))+~P105(f844(f844(f328(x71761),x71765),x71763))
% 202.05/201.93 [7490]P24(x74901,x74902,x74903,x74904)+~P24(x74901,x74902,x74903,f844(f844(f308(x74901),x74905),x74904))
% 202.05/201.93 [7555]P105(f844(x75551,x75552))+~P105(f844(f844(f92(x75553,x75554,x75551),x75555),x75552))
% 202.05/201.93 [7596]~P105(f844(f844(f328(x75964),x75963),x75965))+P105(f844(f844(f328(x75961),f844(x75962,x75963)),f844(f309(x75964,x75961,x75962),x75965)))
% 202.05/201.93 [7617]~P108(x76172)+E(f150(x76171,x76172,x76173,f844(f136(x76171,x76174),x76175)),f844(f136(x76171,x76174),f150(x76171,x76172,x76173,x76175)))
% 202.05/201.93 [7647]P105(f844(x76471,f844(x76472,x76473)))+~P105(f844(f844(f310(x76474,x76475,x76472),x76471),x76473))
% 202.05/201.93 [7650]P105(f844(f844(x76501,x76502),x76503))+~P105(f844(f844(f242(x76504,x76505,x76501),x76503),x76502))
% 202.05/201.93 [7651]P105(f844(f844(x76511,x76512),x76513))+~P105(f844(f844(f92(x76514,x76511,x76515),x76512),x76513))
% 202.05/201.93 [7713]~P105(f844(f844(f328(x77133),f844(x77134,x77132)),x77135))+P105(f844(f844(f328(x77131),x77132),f844(f310(x77131,x77133,x77134),x77135)))
% 202.05/201.93 [8102]~P105(f844(f844(f328(x81025),x81023),f844(f310(x81025,x81021,x81022),x81024)))+P105(f844(f844(f328(x81021),f844(x81022,x81023)),x81024))
% 202.05/201.93 [8395]~P15(x83952,x83951,x83953)+E(f844(f142(x83951,x83952,f844(f9(x83952,x83951,x83951),x83953),x83954),f152(x83952,x83955)),f844(f844(f63(x83952,x83951,x83953),x83954),f844(f172(x83952),x83955)))
% 202.05/201.93 [8417]E(f844(x84171,f474(x84172,x84171,x84173,x84174)),x84174)+~P105(f844(f844(f328(x84175),x84174),f844(f309(x84173,x84175,x84171),x84172)))
% 202.05/201.93 [8717]~E(x87172,f844(f844(f151(x87171),x87174),x87175))+P105(f844(f844(f328(f915(f909(x87171),f909(x87171))),f844(f844(f251(f909(x87171),f909(x87171)),f113(x87171)),x87172)),f147(x87171,x87173)))
% 202.05/201.93 [8763]E(f844(x87631,f844(f90(x87632,x87633,x87634,x87631),x87635)),x87635)+~P105(f844(f844(f328(x87633),x87635),f844(f309(x87632,x87633,x87631),x87634)))
% 202.05/201.93 [8766]P24(x87661,x87662,f90(x87662,x87661,x87663,x87664),x87665)+~P105(f844(f844(f234(f916(x87661,a904)),x87665),f844(f309(x87662,x87661,x87664),x87663)))
% 202.05/201.93 [8773]~P33(x87731,x87733,x87735,x87732,x87734)+E(f844(f189(f909(x87731)),x87732),f844(f189(f909(x87733)),x87734))
% 202.05/201.93 [8784]P105(f844(f844(f234(f916(x87841,a904)),f844(f844(f38(x87842,f916(x87841,a904)),x87843),x87844)),f844(x87844,x87845)))+~P105(f844(f844(f328(x87842),x87845),x87843))
% 202.05/201.93 [8838]~P55(x88381,x88382,x88383,x88385,x88384)+E(f844(f309(x88381,x88382,x88383),f241(f916(x88381,a904))),x88384)
% 202.05/201.93 [9063]E(f844(f136(x90631,x90632),f734(x90633,x90634,x90635,x90632,x90631)),x90633)+~E(f844(f136(x90631,x90632),x90635),f844(f844(f151(x90631),x90634),x90633))
% 202.05/201.93 [9064]E(f844(f136(x90641,x90642),f731(x90643,x90642,x90644,x90645,x90641)),x90644)+~E(f844(f844(f151(x90641),x90645),x90644),f844(f136(x90641,x90642),x90643))
% 202.05/201.93 [9155]E(f844(f189(f909(x91551)),x91552),x91553)+~P105(f844(f844(f328(f915(f909(x91551),f909(x91551))),f844(f844(f251(f909(x91551),f909(x91551)),x91554),x91552)),f844(f143(x91551,x91555),x91553)))
% 202.05/201.93 [9156]E(f844(f189(f909(x91561)),x91562),x91563)+~P105(f844(f844(f328(f915(f909(x91561),f909(x91561))),f844(f844(f251(f909(x91561),f909(x91561)),x91562),x91564)),f844(f143(x91561,x91565),x91563)))
% 202.05/201.93 [9225]P105(f844(f844(f328(x92251),f474(x92252,x92253,x92251,x92254)),x92252))+~P105(f844(f844(f328(x92255),x92254),f844(f309(x92251,x92255,x92253),x92252)))
% 202.05/201.93 [9381]E(f844(f309(x93811,x93812,x93813),f476(x93814,x93813,x93811,x93815,x93812)),x93815)+~P105(f844(f844(f234(f916(x93812,a904)),x93815),f844(f309(x93811,x93812,x93813),x93814)))
% 202.05/201.93 [9689]P105(f844(f844(f328(f915(f909(x96891),f909(x96891))),f844(f844(f251(f909(x96891),f909(x96891)),f844(f844(f151(x96891),x96892),x96893)),f844(f844(f151(x96891),x96892),x96894))),f306(f909(x96891),f157(x96891,x96895))))+~P105(f844(f844(f328(f915(f909(x96891),f909(x96891))),f844(f844(f251(f909(x96891),f909(x96891)),x96893),x96894)),f306(f909(x96891),f157(x96891,x96895))))
% 202.05/201.93 [9720]~E(f844(x97203,f683(x97205,x97204,x97203,x97202,x97201)),f844(x97205,f683(x97205,x97204,x97203,x97202,x97201)))+E(f844(f844(f154(x97201,x97202),x97203),x97204),f844(f844(f154(x97201,x97202),x97205),x97204))
% 202.05/201.93 [9796]~E(f844(f136(x97961,x97965),x97964),f844(f844(f151(x97961),x97963),x97962))+E(f844(f844(f134(x97961),f735(x97962,x97963,x97964,x97965,x97961)),f844(f844(f151(x97961),x97963),f734(x97962,x97963,x97964,x97965,x97961))),x97964)
% 202.05/201.93 [9797]~E(f844(f844(f151(x97971),x97975),x97974),f844(f136(x97971,x97973),x97972))+E(f844(f844(f134(x97971),f732(x97972,x97973,x97974,x97975,x97971)),f844(f844(f151(x97971),x97975),f731(x97972,x97973,x97974,x97975,x97971))),x97972)
% 202.05/201.93 [9801]E(f844(f844(f154(x98011,x98012),x98013),x98014),f844(f844(f154(x98011,x98012),x98015),x98014))+P105(f844(f844(f328(x98011),f683(x98013,x98014,x98015,x98012,x98011)),f844(f172(x98011),x98014)))
% 202.05/201.93 [9831]~P105(f844(f844(f328(x98315),x98314),f844(f284(x98311,x98315,x98313),x98312)))+P105(f844(f844(f328(x98311),f493(x98312,x98313,x98311,x98314,x98315)),x98312))
% 202.05/201.93 [9832]~P105(f844(f844(f328(x98325),x98324),f844(f284(x98321,x98325,x98323),x98322)))+P105(f844(f844(f328(x98321),f498(x98322,x98323,x98321,x98324,x98325)),x98322))
% 202.05/201.93 [9862]~P105(f844(f844(f234(f916(x98625,a904)),x98624),f844(f309(x98621,x98625,x98623),x98622)))+P105(f844(f844(f234(f916(x98621,a904)),f476(x98622,x98623,x98621,x98624,x98625)),x98622))
% 202.05/201.93 [10301]E(x103011,f2(a99))+E(f223(f915(f909(x103012),x103013),f915(x103012,x103013),f844(f844(f251(f909(x103012),x103013),f113(x103012)),x103014),f844(f256(x103012,x103013,f915(f909(x103012),x103013)),f844(f844(f9(x103012,f916(x103013,f915(f909(x103012),x103013)),f916(x103013,f915(f909(x103012),x103013))),f844(f844(f10(f916(f915(f909(x103012),x103013),f915(f909(x103012),x103013)),f916(f916(x103013,f915(f909(x103012),x103013)),f916(x103013,f915(f909(x103012),x103013))),x103012),f10(f915(f909(x103012),x103013),f915(f909(x103012),x103013),x103013)),f844(f844(f10(f916(f909(x103012),f916(x103013,f915(f909(x103012),x103013))),f916(f915(f909(x103012),x103013),f915(f909(x103012),x103013)),x103012),f256(f909(x103012),x103013,f915(f909(x103012),x103013))),f844(f844(f10(f916(f909(x103012),f909(x103012)),f916(f909(x103012),f916(x103013,f915(f909(x103012),x103013))),x103012),f844(f10(f909(x103012),f916(x103013,f915(f909(x103012),x103013)),f909(x103012)),f251(f909(x103012),x103013))),f151(x103012))))),f844(f117(x103013,x103012,x103015),f844(f844(f3(a99),x103011),f77(a99))))),f844(x103015,x103014)),f844(f844(f117(x103013,x103012,x103015),x103011),x103014))
% 202.05/201.93 [6140]E(x61401,x61402)+~E(f844(f255(x61403,x61404),f844(f844(f251(x61403,x61404),x61405),x61401)),x61402)
% 202.05/201.93 [6141]E(x61411,x61412)+~E(f844(f250(x61413,x61414),f844(f844(f251(x61413,x61414),x61411),x61415)),x61412)
% 202.05/201.93 [6408]~E(x64083,f844(f844(f134(x64081),x64084),f844(f844(f151(x64081),x64082),x64085)))+P105(f844(f844(f328(x64081),x64082),f844(f172(x64081),x64083)))
% 202.05/201.93 [6812]E(f844(f309(x68121,x68122,f844(f18(x68122,x68121),x68123)),x68124),f844(f844(f308(x68122),x68123),f188(f916(x68122,a904))))+~P105(f844(f844(f328(x68121),x68125),x68124))
% 202.05/201.93 [6886]E(f844(f844(f110(f916(x68861,a904)),f844(f172(x68861),x68862)),f844(f172(x68861),x68863)),f844(f172(x68861),x68864))+~E(f166(x68861,x68865,x68864),f844(f844(f251(f909(x68861),f909(x68861)),x68862),x68863))
% 202.05/201.93 [6984]~P108(x69842)+E(f844(f189(f909(x69841)),f844(f844(f148(x69841,x69842,x69843),x69844),x69845)),f844(a112,f844(f189(f909(x69841)),x69845)))
% 202.05/201.93 [6996]~P108(x69962)+E(f844(f172(x69961),f844(f844(f148(x69961,x69962,x69963),x69964),x69965)),f844(f844(f308(x69961),x69964),f844(f172(x69961),x69965)))
% 202.05/201.93 [7270]~P112(x72701)+E(f844(f844(f80(x72701),f844(f844(f80(x72701),x72702),x72703)),f844(f844(f80(x72701),x72704),x72705)),f844(f844(f80(x72701),f844(f844(f80(x72701),x72702),x72704)),f844(f844(f80(x72701),x72703),x72705)))
% 202.05/201.93 [7271]~P112(x72711)+E(f844(f844(f79(x72711),f844(f844(f79(x72711),x72712),x72713)),f844(f844(f79(x72711),x72714),x72715)),f844(f844(f79(x72711),f844(f844(f79(x72711),x72712),x72714)),f844(f844(f79(x72711),x72713),x72715)))
% 202.05/201.93 [7272]~P62(x72721)+E(f844(f844(f290(x72721),f844(f844(f80(x72721),x72722),x72723)),f844(f844(f80(x72721),x72724),x72725)),f844(f844(f80(x72721),f844(f844(f290(x72721),x72722),x72724)),f844(f844(f290(x72721),x72723),x72725)))
% 202.05/201.93 [7286]~P108(x72861)+E(f302(x72861,f844(f844(f233(x72861),x72862),x72863),f844(f844(f232(x72861),x72864),x72865)),f844(f844(f101(f916(x72861,a904)),f302(x72861,x72862,x72864)),f302(x72861,x72863,x72865)))
% 202.05/201.93 [7287]~P108(x72871)+E(f305(x72871,f844(f844(f233(x72871),x72872),x72873),f844(f844(f232(x72871),x72874),x72875)),f844(f844(f101(f916(x72871,a904)),f305(x72871,x72872,x72874)),f305(x72871,x72873,x72875)))
% 202.05/201.93 [7288]~P108(x72881)+E(f304(x72881,f844(f844(f233(x72881),x72882),x72883),f844(f844(f232(x72881),x72884),x72885)),f844(f844(f101(f916(x72881,a904)),f304(x72881,x72882,x72884)),f304(x72881,x72883,x72885)))
% 202.05/201.93 [7289]~P108(x72891)+E(f844(f844(f101(f916(x72891,a904)),f844(f301(x72891,x72892),x72893)),f844(f301(x72891,x72894),x72895)),f844(f301(x72891,f844(f844(f233(x72891),x72892),x72894)),f844(f844(f232(x72891),x72893),x72895)))
% 202.05/201.93 [7408]~P105(f844(x74081,f383(x74083,x74082,x74081)))+P105(f844(x74081,f844(f844(f251(x74082,x74083),x74084),x74085)))
% 202.05/201.93 [7521]~E(x75212,f844(x75214,x75215))+P105(f844(f844(f328(x75211),x75212),f844(f309(x75213,x75211,x75214),f241(f916(x75213,a904)))))
% 202.05/201.93 [7593]~P15(x75933,x75932,x75934)+P15(x75931,x75932,f844(f844(f10(x75933,f916(x75932,x75932),x75931),x75934),x75935))
% 202.05/201.93 [7594]~P13(x75943,x75942,x75944)+P13(x75941,x75942,f844(f844(f10(x75943,f916(x75942,x75942),x75941),x75944),x75945))
% 202.05/201.93 [7730]~P24(x77301,x77302,x77303,x77304)+P24(x77301,x77302,x77303,f844(f844(f3(f916(x77301,a904)),x77304),x77305))
% 202.05/201.93 [7883]~P105(f844(f844(x78833,x78834),x78835))+P105(f844(f844(f256(x78831,x78832,a904),x78833),f844(f844(f251(x78831,x78832),x78834),x78835)))
% 202.05/201.93 [7993]~P105(f844(x79932,x79934))+~E(f844(f844(f138(x79931),f844(f189(f909(x79931)),f177(x79931,x79932,x79933))),x79933),f844(f844(f151(x79931),x79934),x79935))
% 202.05/201.93 [8013]P24(x80131,x80132,x80133,x80134)+~P24(x80131,x80132,x80133,f844(f844(f110(f916(x80131,a904)),x80135),x80134))
% 202.05/201.93 [8014]P24(x80141,x80142,x80143,x80144)+~P24(x80141,x80142,x80143,f844(f844(f110(f916(x80141,a904)),x80144),x80145))
% 202.05/201.93 [8060]~P108(x80602)+E(f844(f844(f148(x80601,x80602,x80603),x80604),f150(x80601,x80602,x80603,x80605)),f150(x80601,x80602,x80603,f844(f844(f151(x80601),x80604),x80605)))
% 202.05/201.93 [8372]~P13(x83722,x83721,x83723)+E(f844(f142(x83721,x83722,f844(f9(x83722,x83721,x83721),x83723),x83724),x83725),f844(f844(f63(x83722,x83721,x83723),x83724),f844(f172(x83722),x83725)))
% 202.05/201.93 [8400]~E(f844(f844(f138(x84001),f844(f189(f909(x84001)),f177(x84001,x84002,x84003))),x84003),f844(f844(f151(x84001),x84004),x84005))+E(f844(f844(f134(x84001),f177(x84001,x84002,x84003)),f844(f844(f151(x84001),x84004),x84005)),x84003)
% 202.05/201.93 [8427]P105(f844(f844(x84271,x84272),x84273))+~P105(f844(f844(f256(x84274,x84275,a904),x84271),f844(f844(f251(x84274,x84275),x84272),x84273)))
% 202.05/201.93 [8901]P105(f844(f844(f234(f916(x89011,a904)),f844(f309(x89012,x89011,x89013),x89014)),f844(f309(x89012,x89011,x89013),x89015)))+~P105(f844(f844(f234(f916(x89012,a904)),x89014),x89015))
% 202.05/201.93 [8902]P105(f844(f844(f234(f916(x89021,a904)),f844(f310(x89021,x89022,x89023),x89024)),f844(f310(x89021,x89022,x89023),x89025)))+~P105(f844(f844(f234(f916(x89022,a904)),x89024),x89025))
% 202.05/201.93 [8981]E(x89811,f2(a99))+E(f844(f844(f258(x89812,x89813,x89812,f915(x89813,x89812)),f844(x89814,x89815)),f272(x89813,x89812,f844(f844(f3(a99),x89811),f77(a99)),x89814)),f844(f272(x89813,x89812,x89811,x89814),x89815))
% 202.05/201.93 [9088]P105(f844(f844(f254(x90881,x90882,a904,x90883),x90884),x90885))+~P105(f844(x90883,f844(f844(f251(x90881,x90882),x90884),x90885)))
% 202.05/201.93 [9359]~P105(f844(f844(f254(x93592,x93593,a904,x93591),x93594),x93595))+P105(f844(x93591,f844(f844(f251(x93592,x93593),x93594),x93595)))
% 202.05/201.93 [9541]~P105(f844(f844(f328(x95412),x95415),f844(f309(x95411,x95412,x95414),x95413)))+P105(f844(f844(f328(x95411),f844(f90(x95411,x95412,x95413,x95414),x95415)),x95413))
% 202.05/201.93 [9631]~P105(f844(f60(x96313),f844(f309(x96312,x96313,x96315),f241(f916(x96312,a904)))))+P105(f844(f60(x96311),f844(f309(x96312,x96311,f844(f844(f10(x96313,x96311,x96312),x96314),x96315)),f241(f916(x96312,a904)))))
% 202.05/201.93 [9656]P105(f844(f844(f234(f916(f916(x96561,a904),a904)),f844(f309(f916(x96562,a904),f916(x96561,a904),f309(x96562,x96561,x96563)),f844(f307(x96562),x96564))),f844(f307(x96561),x96565)))+~P105(f844(f844(f234(f916(x96561,a904)),f844(f309(x96562,x96561,x96563),x96564)),x96565))
% 202.05/201.93 [9728]E(x97281,x97282)+~P105(f844(f65(x97283,x97284,x97285,x97281,f188(f916(x97283,a904))),x97282))
% 202.05/201.93 [9744]E(f844(f844(f251(x97441,x97442),f534(x97443,x97444,x97445,x97442,x97441)),f535(x97443,x97444,x97445,x97442,x97441)),x97445)+~P105(f844(f844(f328(f915(x97441,x97442)),x97445),f844(f844(f253(x97441,x97442),x97444),x97443)))
% 202.05/201.93 [9837]P105(f844(f844(f328(x98371),f534(x98372,x98373,x98374,x98375,x98371)),x98373))+~P105(f844(f844(f328(f915(x98371,x98375)),x98374),f844(f844(f253(x98371,x98375),x98373),x98372)))
% 202.05/201.93 [9992]P105(f844(f844(f328(x99921),f535(x99922,x99923,x99924,x99921,x99925)),f844(x99922,f534(x99922,x99923,x99924,x99921,x99925))))+~P105(f844(f844(f328(f915(x99925,x99921)),x99924),f844(f844(f253(x99925,x99921),x99923),x99922)))
% 202.05/201.93 [10012]P105(f844(f844(f328(f915(x100121,x100121)),f844(f844(f251(x100121,x100121),x100122),f627(x100123,x100124,x100125,x100122,x100121))),x100123))+~P105(f844(f844(f328(f915(x100121,x100121)),f844(f844(f251(x100121,x100121),x100122),x100125)),f844(f844(f183(f915(x100121,x100121),a904),f844(a112,x100124)),x100123)))
% 202.05/201.93 [10013]P105(f844(f844(f328(f915(x100131,x100131)),f844(f844(f251(x100131,x100131),x100132),f629(x100133,x100134,x100135,x100132,x100131))),x100133))+~P105(f844(f844(f328(f915(x100131,x100131)),f844(f844(f251(x100131,x100131),x100132),x100135)),f844(f844(f183(f915(x100131,x100131),a904),f844(a112,x100134)),x100133)))
% 202.05/201.93 [10019]~P23(x100191,x100192,f844(f844(f308(f907(x100191)),f91(x100191,f92(x100191,x100193,x100194),x100195,x100193)),f188(f916(f907(x100191),a904))))+P23(x100191,x100192,f844(f844(f308(f907(x100191)),f91(x100191,x100193,f29(x100194,x100195),f92(x100191,x100193,f844(f72(a904,a904,a906,a321),x100194)))),f188(f916(f907(x100191),a904))))
% 202.05/201.93 [10031]~P105(f844(f844(f328(f915(f909(x100311),f909(x100311))),f844(f844(f251(f909(x100311),f909(x100311)),f844(f844(f151(x100311),x100312),x100315)),x100314)),f158(x100311,x100313)))+P105(f844(f844(f328(f915(x100311,x100311)),f844(f844(f251(x100311,x100311),x100312),f642(x100313,x100314,x100315,x100312,x100311))),x100313))
% 202.05/201.93 [6487]P105(f844(x64872,x64874))+E(f177(x64871,x64872,f844(f844(f134(x64871),x64873),f844(f844(f151(x64871),x64874),x64875))),f177(x64871,x64872,x64873))
% 202.05/201.93 [6536]~P77(x65362)+E(f844(f844(f844(f110(f916(x65361,x65362)),x65363),x65364),x65365),f844(f844(f110(x65362),f844(x65363,x65365)),f844(x65364,x65365)))
% 202.05/201.93 [6538]~P2(x65382)+E(f844(f844(f844(f3(f916(x65381,x65382)),x65383),x65384),x65385),f844(f844(f3(x65382),f844(x65383,x65385)),f844(x65384,x65385)))
% 202.05/201.93 [6540]~P77(x65402)+E(f844(f844(f844(f101(f916(x65401,x65402)),x65403),x65404),x65405),f844(f844(f101(x65402),f844(x65403,x65405)),f844(x65404,x65405)))
% 202.05/201.93 [6558]E(x65581,x65582)+E(f844(f844(f164(x65583),f844(f844(f159(x65583,x65584),x65581),x65585)),x65582),f844(f844(f164(x65583),x65584),x65582))
% 202.05/201.93 [6830]~E(x68304,f188(f916(x68303,a904)))+E(f844(f844(f110(f916(x68301,a904)),x68302),f844(f844(f39(x68303,f916(x68301,a904)),x68304),x68305)),x68302)
% 202.05/201.93 [6831]~E(x68314,f188(f916(x68313,a904)))+E(f844(f844(f3(f916(x68311,a904)),x68312),f844(f844(f39(x68313,f916(x68311,a904)),x68314),x68315)),x68312)
% 202.05/201.93 [6832]~E(x68324,f188(f916(x68323,a904)))+E(f844(f844(f101(f916(x68321,a904)),x68322),f844(f844(f38(x68323,f916(x68321,a904)),x68324),x68325)),x68322)
% 202.05/201.93 [6848]~E(x68484,f188(f916(x68483,a904)))+E(f844(f844(f308(x68481),x68482),f844(f844(f39(x68483,f916(x68481,a904)),x68484),x68485)),f844(f844(f308(x68481),x68482),f188(f916(x68481,a904))))
% 202.05/201.93 [7639]E(f844(f844(f164(x76391),f844(f844(f154(x76392,x76391),x76393),x76394)),x76395),f844(x76393,f844(f844(f164(x76392),x76394),x76395)))+~P105(f844(f844(f235(a908),x76395),f844(f189(f909(x76392)),x76394)))
% 202.05/201.93 [7701]E(f844(f844(f110(f916(x77011,a904)),f844(x77012,x77013)),f844(f844(f39(x77014,f916(x77011,a904)),x77015),x77012)),f844(f844(f39(x77014,f916(x77011,a904)),x77015),x77012))+~P105(f844(f844(f328(x77014),x77013),x77015))
% 202.05/201.93 [7702]E(f844(f844(f101(f916(x77021,a904)),f844(x77022,x77023)),f844(f844(f38(x77024,f916(x77021,a904)),x77025),x77022)),f844(f844(f38(x77024,f916(x77021,a904)),x77025),x77022))+~P105(f844(f844(f328(x77024),x77023),x77025))
% 202.05/201.93 [8295]~E(x82953,f188(f916(x82951,a904)))+E(f844(f844(f39(x82951,f916(x82952,a904)),x82953),f844(f844(f10(f916(x82952,a904),f916(x82952,a904),x82951),f844(f308(x82952),x82954)),x82955)),f188(f916(x82952,a904)))
% 202.05/201.93 [8300]~P105(f844(f844(f328(x83004),x83003),x83005))+P105(f844(f844(f234(f916(x83001,a904)),f844(x83002,x83003)),f844(f844(f39(x83004,f916(x83001,a904)),x83005),x83002)))
% 202.05/201.93 [8426]~E(f844(x84264,x84262),x84265)+P105(f844(f844(f328(x84261),x84262),f844(f310(x84261,x84263,x84264),f844(f844(f308(x84263),x84265),f188(f916(x84263,a904))))))
% 202.05/201.93 [8473]~P53(x84731,x84732,f844(f285(x84732,x84731),x84733))+E(f844(f844(f101(f916(x84731,a904)),f844(f284(x84732,x84731,x84733),x84734)),f844(f284(x84732,x84731,x84733),x84735)),f844(f284(x84732,x84731,x84733),f844(f844(f101(f916(x84732,a904)),x84734),x84735)))
% 202.05/201.93 [8547]E(x85471,f2(a99))+E(f844(f118(x85472,x85473,f844(x85474,f844(f844(f3(a99),x85471),f77(a99)))),f844(f844(f9(x85472,a99,f910(x85473)),x85475),x85471)),f844(f198(x85472,x85473,x85474,x85475),x85471))
% 202.05/201.93 [8585]E(x85851,f188(f916(x85852,a904)))+E(f844(f844(f39(x85852,f916(x85853,a904)),x85851),f844(f844(f10(f916(x85853,a904),f916(x85853,a904),x85852),f844(f308(x85853),x85854)),x85855)),f844(f844(f308(x85853),x85854),f844(f844(f39(x85852,f916(x85853,a904)),x85851),x85855)))
% 202.05/201.93 [8635]~P24(x86352,x86351,x86353,f241(f916(x86352,a904)))+E(f844(f844(f3(f916(x86351,a904)),f844(f309(x86352,x86351,x86353),x86354)),f844(f309(x86352,x86351,x86353),x86355)),f844(f309(x86352,x86351,x86353),f844(f844(f3(f916(x86352,a904)),x86354),x86355)))
% 202.05/201.93 [8636]~P24(x86362,x86361,x86363,f241(f916(x86362,a904)))+E(f844(f844(f101(f916(x86361,a904)),f844(f309(x86362,x86361,x86363),x86364)),f844(f309(x86362,x86361,x86363),x86365)),f844(f309(x86362,x86361,x86363),f844(f844(f101(f916(x86362,a904)),x86364),x86365)))
% 202.05/201.93 [8704]~P105(f844(f844(f66(x87041,x87042,x87045),x87043),x87044))+P105(f844(f844(f328(f915(x87041,x87042)),f844(f844(f251(x87041,x87042),x87043),x87044)),x87045))
% 202.05/201.93 [8736]P105(f844(f844(f328(x87361),x87362),f844(f283(x87363,x87361),x87364)))+~P105(f844(f844(f328(f915(x87363,x87361)),f844(f844(f251(x87363,x87361),x87365),x87362)),x87364))
% 202.05/201.93 [8738]P105(f844(f844(f328(x87381),x87382),f844(f263(x87381,x87383),x87384)))+~P105(f844(f844(f328(f915(x87381,x87383)),f844(f844(f251(x87381,x87383),x87382),x87385)),x87384))
% 202.05/201.93 [8885]P105(f844(f844(f66(x88851,x88852,x88853),x88854),x88855))+~P105(f844(f844(f328(f915(x88851,x88852)),f844(f844(f251(x88851,x88852),x88854),x88855)),x88853))
% 202.05/201.93 [8924]E(f844(x89241,x89242),x89243)+~P105(f844(f844(f328(x89244),x89242),f844(f310(x89244,x89245,x89241),f844(f844(f308(x89245),x89243),f188(f916(x89245,a904))))))
% 202.05/201.93 [9152]P105(f844(f844(f328(f915(x91521,x91522)),f844(f844(f251(x91521,x91522),x91523),x91524)),f844(f285(x91522,x91521),x91525)))+~P105(f844(f844(f328(f915(x91522,x91521)),f844(f844(f251(x91522,x91521),x91524),x91523)),x91525))
% 202.05/201.93 [9170]~P105(f844(f844(x91701,x91705),x91704))+P105(f844(f844(x91701,f844(f255(x91702,x91703),f844(f844(f251(x91702,x91703),x91704),x91705))),f844(f250(x91702,x91703),f844(f844(f251(x91702,x91703),x91704),x91705))))
% 202.05/201.93 [9200]~P105(f844(f844(f328(f915(x92002,x92001)),f844(f844(f251(x92002,x92001),x92004),x92003)),f844(f285(x92001,x92002),x92005)))+P105(f844(f844(f328(f915(x92001,x92002)),f844(f844(f251(x92001,x92002),x92003),x92004)),x92005))
% 202.05/201.93 [9232]~P105(f844(f844(f328(f915(x92323,x92321)),f844(f844(f251(x92323,x92321),x92325),x92322)),x92324))+P105(f844(f844(f328(x92321),x92322),f844(f284(x92323,x92321,x92324),f844(f844(f308(x92323),x92325),f188(f916(x92323,a904))))))
% 202.05/201.93 [9279]P105(f844(f844(f328(f915(x92791,x92792)),f844(f844(f251(x92791,x92792),x92793),x92794)),x92795))+~P105(f844(f844(f328(x92792),x92794),f844(f284(x92791,x92792,x92795),f844(f844(f308(x92791),x92793),f188(f916(x92791,a904))))))
% 202.05/201.93 [9367]~P69(x93671)+E(f844(f844(f8(a908,x93671),x93672),f302(a908,f844(f844(f79(a908),x93673),x93674),f844(f844(f79(a908),x93675),x93674))),f844(f844(f8(a908,x93671),f844(f844(f10(a908,x93671,a908),x93672),f844(f844(f9(a908,a908,a908),f79(a908)),x93674))),f302(a908,x93673,x93675)))
% 202.05/201.93 [9386]~P69(x93861)+E(f844(f844(f8(a908,x93861),x93862),f844(f301(a908,f844(f844(f79(a908),x93863),x93864)),f844(f844(f79(a908),x93865),x93864))),f844(f844(f8(a908,x93861),f844(f844(f10(a908,x93861,a908),x93862),f844(f844(f9(a908,a908,a908),f79(a908)),x93864))),f844(f301(a908,x93863),x93865)))
% 202.05/201.93 [9443]~P24(x94431,x94432,x94433,f241(f916(x94431,a904)))+E(f844(f844(f154(x94431,x94432),x94433),f844(f136(x94431,f844(f844(f10(a904,a904,x94431),a321),f844(a324,x94434))),x94435)),f844(f136(x94432,f844(f844(f10(a904,a904,x94432),a321),f844(a324,f844(x94433,x94434)))),f844(f844(f154(x94431,x94432),x94433),x94435)))
% 202.05/201.93 [9461]~P24(x94611,x94612,x94613,f844(f844(f308(x94611),x94614),f844(f172(x94611),x94615)))+E(f844(f844(f154(x94611,x94612),x94613),f844(f136(x94611,f844(f844(f10(a904,a904,x94611),a321),f844(a324,x94614))),x94615)),f844(f136(x94612,f844(f844(f10(a904,a904,x94612),a321),f844(a324,f844(x94613,x94614)))),f844(f844(f154(x94611,x94612),x94613),x94615)))
% 202.05/201.93 [9619]P105(f844(f844(f328(f915(f909(x96191),f909(x96191))),f844(f844(f251(f909(x96191),f909(x96191)),f844(f844(f151(x96191),x96192),x96193)),f844(f844(f151(x96191),x96194),x96193))),f157(x96191,x96195)))+~P105(f844(f844(f328(f915(x96191,x96191)),f844(f844(f251(x96191,x96191),x96192),x96194)),x96195))
% 202.05/201.93 [9739]E(f844(f844(f308(x97391),f488(x97392,x97393,x97394,x97395,x97391)),f497(x97392,x97393,x97394,x97395,x97391)),f844(f844(f308(x97391),x97394),x97393))+~P105(f844(f61(x97391,x97395,f844(f844(f308(x97391),x97394),x97393)),x97392))
% 202.05/201.93 [9740]E(f844(f844(f308(x97401),f509(x97402,x97403,x97404,x97405,x97401)),f520(x97402,x97403,x97404,x97405,x97401)),f844(f844(f308(x97401),x97404),x97403))+~P105(f844(f61(x97401,x97405,f844(f844(f308(x97401),x97404),x97403)),x97402))
% 202.05/201.93 [9822]P105(f844(f844(f328(x98221),f421(x98222,x98223,x98224,x98225,x98221)),x98224))+P105(f844(f844(f844(f38(x98221,f916(x98225,a904)),x98224),x98223),x98222))
% 202.05/201.93 [9827]P105(f844(f844(f328(x98271),f411(x98272,x98273,x98271,x98274,x98275)),x98273))+P105(f844(f844(f328(x98275),x98274),f844(f844(f38(x98271,f916(x98275,a904)),x98273),x98272)))
% 202.05/201.93 [9835]P105(f844(f844(f328(x98351),f412(x98352,x98353,x98351,x98354,x98355)),x98353))+P105(f844(f844(f234(f916(x98355,a904)),x98354),f844(f844(f38(x98351,f916(x98355,a904)),x98353),x98352)))
% 202.05/201.93 [9836]P105(f844(f844(f328(x98361),f820(x98362,x98363,x98364,x98365,x98361)),x98365))+P105(f844(f844(f234(f916(x98364,a904)),x98363),f844(f844(f38(x98361,f916(x98364,a904)),x98365),x98362)))
% 202.05/201.93 [9838]P105(f844(f844(x98381,f463(x98382,x98381,x98383,x98384,x98385)),x98382))+~P105(f844(f844(f844(f39(x98385,f916(x98384,a904)),x98383),x98381),x98382))
% 202.05/201.93 [9842]P105(f844(f844(f328(x98421),f463(x98422,x98423,x98424,x98425,x98421)),x98424))+~P105(f844(f844(f844(f39(x98421,f916(x98425,a904)),x98424),x98423),x98422))
% 202.05/201.93 [9843]P51(x98434,f844(f844(f38(x98431,f916(x98434,a904)),x98435),x98433),f844(f844(f38(x98431,f916(f915(x98434,x98434),a904)),x98435),x98432))+P105(f844(f844(f328(x98431),f762(x98432,x98433,x98434,x98435,x98431)),x98435))
% 202.05/201.93 [9844]P51(x98444,f844(f844(f39(x98441,f916(x98444,a904)),x98445),x98443),f844(f844(f39(x98441,f916(f915(x98444,x98444),a904)),x98445),x98442))+P105(f844(f844(f328(x98441),f814(x98442,x98443,x98444,x98445,x98441)),x98445))
% 202.05/201.93 [9854]P105(f844(f844(f328(x98541),f459(x98542,x98543,x98541,x98544,x98545)),x98543))+~P105(f844(f844(f328(x98545),x98544),f844(f844(f39(x98541,f916(x98545,a904)),x98543),x98542)))
% 202.05/201.93 [9860]P105(f844(f844(f328(x98601),x98602),f844(x98603,f459(x98603,x98604,x98605,x98602,x98601))))+~P105(f844(f844(f328(x98601),x98602),f844(f844(f39(x98605,f916(x98601,a904)),x98604),x98603)))
% 202.05/201.93 [9941]~P105(f844(f844(x99414,f421(x99415,x99414,x99413,x99412,x99411)),x99415))+P105(f844(f844(f844(f38(x99411,f916(x99412,a904)),x99413),x99414),x99415))
% 202.05/201.93 [9944]~P105(f844(f844(f328(x99441),x99442),f844(x99445,f411(x99445,x99444,x99443,x99442,x99441))))+P105(f844(f844(f328(x99441),x99442),f844(f844(f38(x99443,f916(x99441,a904)),x99444),x99445)))
% 202.05/201.93 [9948]~P51(x99481,f844(x99484,f762(x99485,x99484,x99481,x99483,x99482)),f844(x99485,f762(x99485,x99484,x99481,x99483,x99482)))+P51(x99481,f844(f844(f38(x99482,f916(x99481,a904)),x99483),x99484),f844(f844(f38(x99482,f916(f915(x99481,x99481),a904)),x99483),x99485))
% 202.05/201.93 [9949]~P51(x99491,f844(x99494,f814(x99495,x99494,x99491,x99493,x99492)),f844(x99495,f814(x99495,x99494,x99491,x99493,x99492)))+P51(x99491,f844(f844(f39(x99492,f916(x99491,a904)),x99493),x99494),f844(f844(f39(x99492,f916(f915(x99491,x99491),a904)),x99493),x99495))
% 202.05/201.93 [9950]~P105(f844(f844(f234(f916(x99501,a904)),x99502),f844(x99505,f412(x99505,x99504,x99503,x99502,x99501))))+P105(f844(f844(f234(f916(x99501,a904)),x99502),f844(f844(f38(x99503,f916(x99501,a904)),x99504),x99505)))
% 202.05/201.93 [9951]~P105(f844(f844(f234(f916(x99511,a904)),x99512),f844(x99515,f820(x99515,x99512,x99511,x99514,x99513))))+P105(f844(f844(f234(f916(x99511,a904)),x99512),f844(f844(f38(x99513,f916(x99511,a904)),x99514),x99515)))
% 202.05/201.93 [10016]~P105(f844(f844(f328(x100161),f488(x100165,x100164,x100163,x100162,x100161)),f497(x100165,x100164,x100163,x100162,x100161)))+~P105(f844(f61(x100161,x100162,f844(f844(f308(x100161),x100163),x100164)),x100165))
% 202.05/201.93 [10017]~P105(f844(f844(f328(x100171),f509(x100175,x100174,x100173,x100172,x100171)),f520(x100175,x100174,x100173,x100172,x100171)))+~P105(f844(f61(x100171,x100172,f844(f844(f308(x100171),x100173),x100174)),x100175))
% 202.05/201.93 [10018]~P105(f844(f844(f328(f915(x100181,x100181)),f844(f844(f251(x100181,x100181),x100182),x100185)),f844(f844(f183(f915(x100181,x100181),a904),f844(a112,x100184)),x100183)))+P105(f844(f844(f328(f915(x100181,x100181)),f844(f844(f251(x100181,x100181),x100182),f628(x100183,x100184,x100185,x100182,x100181))),f844(f844(f183(f915(x100181,x100181),a904),x100184),x100183)))
% 202.05/201.93 [10025]P105(f844(f65(x100251,x100251,x100252,f488(x100253,x100254,x100255,x100252,x100251),f497(x100253,x100254,x100255,x100252,x100251)),x100253))+~P105(f844(f61(x100251,x100252,f844(f844(f308(x100251),x100255),x100254)),x100253))
% 202.05/201.93 [10026]P105(f844(f65(x100261,x100261,x100262,f509(x100263,x100264,x100265,x100262,x100261),f520(x100263,x100264,x100265,x100262,x100261)),x100263))+~P105(f844(f61(x100261,x100262,f844(f844(f308(x100261),x100265),x100264)),x100263))
% 202.05/201.93 [10036]~P108(x100361)+P12(x100361,f844(f844(f154(x100362,x100361),x100363),f844(f136(x100362,f844(f844(f9(x100362,x100361,a904),f844(f844(f10(x100361,f916(x100361,a904),x100362),a324),x100363)),f844(x100364,x100365))),x100365)))
% 202.05/201.93 [10087]~P105(f844(f844(f328(x100872),x100875),f844(f284(x100871,x100872,x100874),x100873)))+P105(f844(f844(f328(f915(x100871,x100872)),f844(f844(f251(x100871,x100872),f493(x100873,x100874,x100871,x100875,x100872)),x100875)),x100874))
% 202.05/201.93 [10088]~P105(f844(f844(f328(x100882),x100885),f844(f284(x100881,x100882,x100884),x100883)))+P105(f844(f844(f328(f915(x100881,x100882)),f844(f844(f251(x100881,x100882),f498(x100883,x100884,x100881,x100885,x100882)),x100885)),x100884))
% 202.05/201.93 [10108]~P105(f844(f844(f328(f915(x101081,x101081)),f844(f844(f251(x101081,x101081),x101085),x101084)),f844(f844(f183(f915(x101081,x101081),a904),f844(a112,x101083)),x101082)))+P105(f844(f844(f328(f915(x101081,x101081)),f844(f844(f251(x101081,x101081),f628(x101082,x101083,x101084,x101085,x101081)),x101084)),x101082))
% 202.05/201.93 [10111]~P105(f844(f844(f328(f915(x101111,x101111)),f844(f844(f251(x101111,x101111),x101115),x101114)),f844(f844(f183(f915(x101111,x101111),a904),f844(a112,x101113)),x101112)))+P105(f844(f844(f328(f915(x101111,x101111)),f844(f844(f251(x101111,x101111),f627(x101112,x101113,x101114,x101115,x101111)),x101114)),f844(f844(f183(f915(x101111,x101111),a904),x101113),x101112)))
% 202.05/201.93 [10112]~P105(f844(f844(f328(f915(x101121,x101121)),f844(f844(f251(x101121,x101121),x101125),x101124)),f844(f844(f183(f915(x101121,x101121),a904),f844(a112,x101123)),x101122)))+P105(f844(f844(f328(f915(x101121,x101121)),f844(f844(f251(x101121,x101121),f629(x101122,x101123,x101124,x101125,x101121)),x101124)),f844(f844(f183(f915(x101121,x101121),a904),x101123),x101122)))
% 202.05/201.93 [10113]~P105(f844(f844(f328(f915(f909(x101131),f909(x101131))),f844(f844(f251(f909(x101131),f909(x101131)),x101135),f844(f844(f151(x101131),x101134),x101133))),f158(x101131,x101132)))+P105(f844(f844(f328(f915(x101131,x101131)),f844(f844(f251(x101131,x101131),f644(x101132,x101133,x101134,x101135,x101131)),x101134)),x101132))
% 202.05/201.93 [7722]~E(x77223,f188(f916(x77222,a904)))+E(f844(f844(f110(f916(x77221,a904)),f844(f844(f39(x77222,f916(x77221,a904)),x77223),x77224)),x77225),x77225)
% 202.05/201.93 [7723]~E(x77233,f188(f916(x77232,a904)))+E(f844(f844(f101(f916(x77231,a904)),f844(f844(f38(x77232,f916(x77231,a904)),x77233),x77234)),x77235),x77235)
% 202.05/201.93 [8141]~E(x81413,f188(f916(x81412,a904)))+E(f844(f844(f3(f916(x81411,a904)),f844(f844(f38(x81412,f916(x81411,a904)),x81413),x81414)),x81415),f844(f844(f3(f916(x81411,a904)),f241(f916(x81411,a904))),x81415))
% 202.05/201.93 [8269]E(f844(f844(f159(x82691,f844(f844(f134(x82691),x82692),x82693)),x82694),x82695),f844(f844(f134(x82691),f844(f844(f159(x82691,x82692),x82694),x82695)),x82693))+~P105(f844(f844(f235(a908),x82694),f844(f189(f909(x82691)),x82692)))
% 202.05/201.93 [8537]E(f844(f844(f164(x85371),f844(f844(f154(a908,x85371),x85372),f139(a908,f844(f301(a908,x85373),x85374)))),x85375),f844(x85372,f844(f844(f79(a908),x85373),x85375)))+~P105(f844(f844(f235(a908),x85375),f844(f844(f3(a908),x85374),x85373)))
% 202.05/201.93 [8551]E(x85511,f2(a99))+E(f122(x85512,x85513,f844(x85514,f844(f844(f3(a99),x85511),f77(a99))),f844(f844(f9(x85512,a99,f910(f912(x85513))),x85515),x85511)),f844(f196(x85512,x85513,x85514,x85515),x85511))
% 202.05/201.93 [8575]~E(x85753,f188(f916(x85751,a904)))+E(f844(f844(f38(x85751,f916(x85752,a904)),x85753),f844(f844(f10(f916(x85752,a904),f916(x85752,a904),x85751),f844(f3(f916(x85752,a904)),x85754)),x85755)),f241(f916(x85752,a904)))
% 202.05/201.93 [8576]~E(x85763,f188(f916(x85761,a904)))+E(f844(f844(f38(x85761,f916(x85762,a904)),x85763),f844(f844(f10(f916(x85762,a904),f916(x85762,a904),x85761),f844(f101(f916(x85762,a904)),x85764)),x85765)),f241(f916(x85762,a904)))
% 202.05/201.93 [8577]~E(x85773,f188(f916(x85771,a904)))+E(f844(f844(f39(x85771,f916(x85772,a904)),x85773),f844(f844(f10(f916(x85772,a904),f916(x85772,a904),x85771),f844(f110(f916(x85772,a904)),x85774)),x85775)),f188(f916(x85772,a904)))
% 202.05/201.93 [8579]~P144(x85792)+E(f844(f844(f8(x85791,x85792),f844(f844(f10(x85792,x85792,x85791),f844(f80(x85792),x85793)),x85794)),x85795),f844(f844(f80(x85792),x85793),f844(f844(f8(x85791,x85792),x85794),x85795)))
% 202.05/201.93 [8869]E(x88691,f188(f916(x88692,a904)))+E(f844(f844(f38(x88692,f916(x88693,a904)),x88691),f844(f844(f10(f916(x88693,a904),f916(x88693,a904),x88692),f844(f3(f916(x88693,a904)),x88694)),x88695)),f844(f844(f3(f916(x88693,a904)),x88694),f844(f844(f39(x88692,f916(x88693,a904)),x88691),x88695)))
% 202.05/201.93 [8870]E(x88701,f188(f916(x88702,a904)))+E(f844(f844(f38(x88702,f916(x88703,a904)),x88701),f844(f844(f10(f916(x88703,a904),f916(x88703,a904),x88702),f844(f101(f916(x88703,a904)),x88704)),x88705)),f844(f844(f101(f916(x88703,a904)),x88704),f844(f844(f38(x88702,f916(x88703,a904)),x88701),x88705)))
% 202.05/201.93 [8871]E(x88711,f188(f916(x88712,a904)))+E(f844(f844(f39(x88712,f916(x88713,a904)),x88711),f844(f844(f10(f916(x88713,a904),f916(x88713,a904),x88712),f844(f110(f916(x88713,a904)),x88714)),x88715)),f844(f844(f110(f916(x88713,a904)),x88714),f844(f844(f39(x88712,f916(x88713,a904)),x88711),x88715)))
% 202.05/201.93 [9070]~P105(f844(f844(f235(a908),f844(x90704,x90702)),f844(x90704,x90703)))+P105(f844(f844(f328(f915(x90701,x90701)),f844(f844(f251(x90701,x90701),x90702),x90703)),f153(x90701,f844(f844(f151(f916(x90701,a908)),x90704),x90705))))
% 202.05/201.93 [9332]~P24(x93322,x93321,x93323,f844(f844(f110(f916(x93322,a904)),x93324),x93325))+E(f844(f844(f101(f916(x93321,a904)),f844(f309(x93322,x93321,x93323),f844(f844(f3(f916(x93322,a904)),x93324),x93325))),f844(f309(x93322,x93321,x93323),f844(f844(f3(f916(x93322,a904)),x93325),x93324))),f188(f916(x93321,a904)))
% 202.05/201.93 [9585]~P24(x95853,x95851,x95855,f241(f916(x95853,a904)))+E(f844(f72(x95851,x95852,x95853,f844(f72(x95853,x95852,x95851,x95854),f90(x95853,x95851,f241(f916(x95853,a904)),x95855))),x95855),x95854)
% 202.05/201.93 [9615]~P105(f844(f844(f234(f916(x96153,a904)),f844(f284(x96151,x96153,x96154),x96152)),x96155))+P105(f844(f844(f234(f916(x96151,a904)),x96152),f844(f78(f916(x96151,a904)),f844(f284(x96153,x96151,f844(f285(x96151,x96153),x96154)),f844(f78(f916(x96153,a904)),x96155)))))
% 202.05/201.93 [9640]~P24(x96401,x96402,x96403,f844(f844(f308(x96401),x96404),x96405))+~P105(f844(f844(f328(x96402),f844(x96403,x96404)),f844(f309(x96401,x96402,x96403),f844(f844(f3(f916(x96401,a904)),x96405),f844(f844(f308(x96401),x96404),f188(f916(x96401,a904)))))))
% 202.05/201.93 [9693]P105(f844(f844(f234(f916(x96931,a904)),f844(f284(x96932,x96931,x96933),x96934)),x96935))+~P105(f844(f844(f234(f916(x96932,a904)),x96934),f844(f78(f916(x96932,a904)),f844(f284(x96931,x96932,f844(f285(x96932,x96931),x96933)),f844(f78(f916(x96931,a904)),x96935)))))
% 202.05/201.93 [9766]~P86(x97661)+P105(f844(f844(f234(x97661),f844(f75(x97661),f844(f844(f3(x97661),f844(f844(f79(x97661),x97662),x97663)),f844(f844(f79(x97661),x97664),x97665)))),f844(f844(f79(x97661),f844(f75(x97661),f844(f844(f3(x97661),x97662),x97664))),f844(f75(x97661),f844(f844(f3(x97661),x97663),x97665)))))
% 202.05/201.93 [9875]P105(f844(f844(f328(x98751),f460(x98752,x98753,x98754,x98751,x98755)),x98754))+P105(f844(f844(f234(f916(x98755,a904)),f844(f844(f39(x98751,f916(x98755,a904)),x98754),x98753)),x98752))
% 202.05/201.93 [10054]~P105(f844(f844(f234(f916(x100541,a904)),f844(x100544,f460(x100545,x100544,x100543,x100542,x100541))),x100545))+P105(f844(f844(f234(f916(x100541,a904)),f844(f844(f39(x100542,f916(x100541,a904)),x100543),x100544)),x100545))
% 202.05/201.93 [8683]E(f844(f844(f134(x86831),x86832),f844(f844(f159(x86831,x86833),f844(f844(f3(a908),x86834),f844(f189(f909(x86831)),x86832))),x86835)),f844(f844(f159(x86831,f844(f844(f134(x86831),x86832),x86833)),x86834),x86835))+P105(f844(f844(f235(a908),x86834),f844(f189(f909(x86831)),x86832)))
% 202.05/201.93 [8711]~P138(x87111)+E(f844(f844(f79(x87111),f844(f844(f80(x87111),x87112),x87113)),f844(f844(f79(x87111),f844(f844(f80(x87111),x87114),x87113)),x87115)),f844(f844(f79(x87111),f844(f844(f80(x87111),f844(f844(f79(x87111),x87112),x87114)),x87113)),x87115))
% 202.05/201.93 [9288]~P144(x92881)+E(f844(f165(x92881),f844(f844(f154(x92882,x92881),f844(f844(f10(x92881,x92881,x92882),f844(f80(x92881),x92883)),x92884)),x92885)),f844(f844(f80(x92881),x92883),f844(f165(x92881),f844(f844(f154(x92882,x92881),x92884),x92885))))
% 202.05/201.93 [9460]E(f844(f189(f909(x94601)),f844(f844(f175(x94601),f844(f844(f232(a908),f844(f189(f909(x94601)),x94602)),f844(f189(f909(x94603)),x94604))),x94602)),f844(f189(f909(x94603)),f844(f844(f175(x94603),f844(f844(f232(a908),f844(f189(f909(x94601)),x94602)),f844(f189(f909(x94603)),x94604))),x94604)))+P105(f844(x94605,f844(f844(f181(x94601,x94603),x94602),x94604)))
% 202.05/201.93 [9703]~P144(x97032)+E(f844(f844(f8(x97031,x97032),f844(f844(f9(x97031,x97032,x97032),f844(f844(f10(x97032,f916(x97032,x97032),x97031),f80(x97032)),x97033)),x97034)),x97035),f844(f844(f80(x97032),f844(f844(f8(x97031,x97032),x97033),x97035)),x97034))
% 202.05/201.93 [9704]~P63(x97042)+E(f844(f844(f8(x97041,x97042),f844(f844(f9(x97041,x97042,x97042),f844(f844(f10(x97042,f916(x97042,x97042),x97041),f290(x97042)),x97043)),x97044)),x97045),f844(f844(f290(x97042),f844(f844(f8(x97041,x97042),x97043),x97045)),x97044))
% 202.05/201.93 [9711]~P66(x97112)+E(f844(f844(f8(x97111,x97112),f844(f844(f20(x97111,x97112,x97112),f844(f844(f10(x97112,f916(x97112,x97112),x97111),f3(x97112)),x97113)),x97114)),x97115),f844(f844(f3(x97112),f844(f844(f8(x97111,x97112),x97113),x97115)),f844(f844(f8(x97111,x97112),x97114),x97115)))
% 202.05/201.93 [9712]~P69(x97122)+E(f844(f844(f8(x97121,x97122),f844(f844(f20(x97121,x97122,x97122),f844(f844(f10(x97122,f916(x97122,x97122),x97121),f79(x97122)),x97123)),x97124)),x97125),f844(f844(f79(x97122),f844(f844(f8(x97121,x97122),x97123),x97125)),f844(f844(f8(x97121,x97122),x97124),x97125)))
% 202.05/201.93 [9713]~P74(x97132)+E(f844(f844(f11(x97131,x97132),f844(f844(f20(x97131,x97132,x97132),f844(f844(f10(x97132,f916(x97132,x97132),x97131),f80(x97132)),x97133)),x97134)),x97135),f844(f844(f80(x97132),f844(f844(f11(x97131,x97132),x97133),x97135)),f844(f844(f11(x97131,x97132),x97134),x97135)))
% 202.05/201.93 [9751]~E(x97513,f188(f916(x97511,a904)))+E(f844(f844(f38(x97511,f916(x97512,a904)),x97513),f844(f844(f9(x97511,f916(x97512,a904),f916(x97512,a904)),f844(f844(f10(f916(x97512,a904),f916(f916(x97512,a904),f916(x97512,a904)),x97511),f3(f916(x97512,a904))),x97514)),x97515)),f241(f916(x97512,a904)))
% 202.05/201.93 [9752]~E(x97523,f188(f916(x97521,a904)))+E(f844(f844(f38(x97521,f916(x97522,a904)),x97523),f844(f844(f9(x97521,f916(x97522,a904),f916(x97522,a904)),f844(f844(f10(f916(x97522,a904),f916(f916(x97522,a904),f916(x97522,a904)),x97521),f101(f916(x97522,a904))),x97524)),x97525)),f241(f916(x97522,a904)))
% 202.05/201.93 [9753]~E(x97533,f188(f916(x97531,a904)))+E(f844(f844(f39(x97531,f916(x97532,a904)),x97533),f844(f844(f9(x97531,f916(x97532,a904),f916(x97532,a904)),f844(f844(f10(f916(x97532,a904),f916(f916(x97532,a904),f916(x97532,a904)),x97531),f110(f916(x97532,a904))),x97534)),x97535)),f188(f916(x97532,a904)))
% 202.05/201.93 [9774]E(x97741,f188(f916(x97742,a904)))+E(f844(f844(f38(x97742,f916(x97743,a904)),x97741),f844(f844(f9(x97742,f916(x97743,a904),f916(x97743,a904)),f844(f844(f10(f916(x97743,a904),f916(f916(x97743,a904),f916(x97743,a904)),x97742),f3(f916(x97743,a904))),x97744)),x97745)),f844(f844(f3(f916(x97743,a904)),f844(f844(f38(x97742,f916(x97743,a904)),x97741),x97744)),x97745))
% 202.05/201.93 [9775]E(x97751,f188(f916(x97752,a904)))+E(f844(f844(f38(x97752,f916(x97753,a904)),x97751),f844(f844(f9(x97752,f916(x97753,a904),f916(x97753,a904)),f844(f844(f10(f916(x97753,a904),f916(f916(x97753,a904),f916(x97753,a904)),x97752),f101(f916(x97753,a904))),x97754)),x97755)),f844(f844(f101(f916(x97753,a904)),f844(f844(f38(x97752,f916(x97753,a904)),x97751),x97754)),x97755))
% 202.05/201.93 [9776]E(x97761,f188(f916(x97762,a904)))+E(f844(f844(f39(x97762,f916(x97763,a904)),x97761),f844(f844(f9(x97762,f916(x97763,a904),f916(x97763,a904)),f844(f844(f10(f916(x97763,a904),f916(f916(x97763,a904),f916(x97763,a904)),x97762),f110(f916(x97763,a904))),x97764)),x97765)),f844(f844(f110(f916(x97763,a904)),f844(f844(f39(x97762,f916(x97763,a904)),x97761),x97764)),x97765))
% 202.05/201.93 [9337]~P105(f844(f844(f234(a908),x93371),x93374))+E(f844(f844(f3(a908),f844(f844(f79(a908),f844(f844(f80(a908),x93371),x93372)),x93373)),f844(f844(f79(a908),f844(f844(f80(a908),x93374),x93372)),x93375)),f844(f844(f3(a908),x93373),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x93374),x93371)),x93372)),x93375)))
% 202.05/201.93 [9924]~P144(x99241)+E(f844(f165(x99241),f844(f844(f154(x99242,x99241),f844(f844(f9(x99242,x99241,x99241),f844(f844(f10(x99241,f916(x99241,x99241),x99242),f80(x99241)),x99243)),x99244)),x99245)),f844(f844(f80(x99241),f844(f165(x99241),f844(f844(f154(x99242,x99241),x99243),x99245))),x99244))
% 202.05/201.93 [9930]~P66(x99301)+E(f844(f165(x99301),f844(f844(f154(x99302,x99301),f844(f844(f20(x99302,x99301,x99301),f844(f844(f10(x99301,f916(x99301,x99301),x99302),f3(x99301)),x99303)),x99304)),x99305)),f844(f844(f3(x99301),f844(f165(x99301),f844(f844(f154(x99302,x99301),x99303),x99305))),f844(f165(x99301),f844(f844(f154(x99302,x99301),x99304),x99305))))
% 202.05/201.93 [9931]~P69(x99311)+E(f844(f165(x99311),f844(f844(f154(x99312,x99311),f844(f844(f20(x99312,x99311,x99311),f844(f844(f10(x99311,f916(x99311,x99311),x99312),f79(x99311)),x99313)),x99314)),x99315)),f844(f844(f79(x99311),f844(f165(x99311),f844(f844(f154(x99312,x99311),x99313),x99315))),f844(f165(x99311),f844(f844(f154(x99312,x99311),x99314),x99315))))
% 202.05/201.93 [10079]P105(f844(x100791,f844(f844(f181(x100792,x100793),x100794),x100795)))+~P105(f844(x100791,f844(f844(f181(x100792,x100793),f844(f844(f175(x100792),f844(f844(f232(a908),f844(f189(f909(x100792)),x100794)),f844(f189(f909(x100793)),x100795))),x100794)),f844(f844(f175(x100793),f844(f844(f232(a908),f844(f189(f909(x100792)),x100794)),f844(f189(f909(x100793)),x100795))),x100795))))
% 202.05/201.93 [10334]~P105(f844(f844(f328(f915(x103342,x103341)),f844(f844(f251(x103342,x103341),x103344),x103345)),f844(f285(x103341,x103342),x103343)))+P105(f844(f844(f242(x103341,x103342,f844(f844(f9(x103341,f916(f915(x103341,x103342),a904),f916(x103342,a904)),f844(f844(f10(f916(x103342,f916(f916(f915(x103341,x103342),a904),a904)),f916(f916(f915(x103341,x103342),a904),f916(x103342,a904)),x103341),f9(x103342,f916(f915(x103341,x103342),a904),a904)),f844(f844(f10(f916(x103342,f915(x103341,x103342)),f916(x103342,f916(f916(f915(x103341,x103342),a904),a904)),x103341),f844(f10(f915(x103341,x103342),f916(f916(f915(x103341,x103342),a904),a904),x103342),f328(f915(x103341,x103342)))),f251(x103341,x103342)))),x103343)),x103344),x103345))
% 202.05/201.93 [10344]P105(f844(f844(f328(f915(x103441,x103442)),f844(f844(f251(x103441,x103442),x103443),x103444)),f844(f285(x103442,x103441),x103445)))+~P105(f844(f844(f242(x103442,x103441,f844(f844(f9(x103442,f916(f915(x103442,x103441),a904),f916(x103441,a904)),f844(f844(f10(f916(x103441,f916(f916(f915(x103442,x103441),a904),a904)),f916(f916(f915(x103442,x103441),a904),f916(x103441,a904)),x103442),f9(x103441,f916(f915(x103442,x103441),a904),a904)),f844(f844(f10(f916(x103441,f915(x103442,x103441)),f916(x103441,f916(f916(f915(x103442,x103441),a904),a904)),x103442),f844(f10(f915(x103442,x103441),f916(f916(f915(x103442,x103441),a904),a904),x103441),f328(f915(x103442,x103441)))),f251(x103442,x103441)))),x103445)),x103443),x103444))
% 202.05/201.93 [9584]~P105(f844(f844(f234(a908),x95844),x95841))+E(f844(f844(f3(a908),f844(f844(f79(a908),f844(f844(f80(a908),x95841),x95842)),x95843)),f844(f844(f79(a908),f844(f844(f80(a908),x95844),x95842)),x95845)),f844(f844(f3(a908),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x95841),x95844)),x95842)),x95843)),x95845))
% 202.05/201.93 [5385]E(x53851,x53852)+~E(f27(x53853,x53854,x53851),f27(x53855,x53856,x53852))
% 202.05/201.93 [5386]E(x53861,x53862)+~E(f27(x53863,x53861,x53864),f27(x53865,x53862,x53866))
% 202.05/201.93 [5387]E(x53871,x53872)+~E(f27(x53871,x53873,x53874),f27(x53872,x53875,x53876))
% 202.05/201.93 [5388]E(x53881,x53882)+~E(f26(x53883,x53884,x53881),f26(x53885,x53886,x53882))
% 202.05/201.93 [5389]E(x53891,x53892)+~E(f26(x53893,x53891,x53894),f26(x53895,x53892,x53896))
% 202.05/201.93 [5390]E(x53901,x53902)+~E(f26(x53901,x53903,x53904),f26(x53902,x53905,x53906))
% 202.05/201.93 [7419]E(x74191,x74192)+~E(f220(x74193,x74194,x74195,x74191),f220(x74193,x74194,x74196,x74192))
% 202.05/201.93 [7420]E(x74201,x74202)+~E(f220(x74203,x74204,x74201,x74205),f220(x74203,x74204,x74202,x74206))
% 202.05/201.93 [8522]~P18(x85225,x85221,x85222,x85226)+E(f844(f72(x85221,x85221,x85221,f844(x85222,x85223)),f844(x85222,x85224)),f844(f72(x85221,x85221,x85221,f844(x85222,x85224)),f844(x85222,x85223)))
% 202.05/201.93 [8755]~P55(x87554,x87555,x87552,x87551,x87556)+E(f844(x87551,f844(x87552,x87553)),x87553)
% 202.05/201.93 [8922]P24(x89221,x89222,x89223,x89224)+~P24(x89221,x89225,f844(f72(x89222,x89225,x89221,x89226),x89223),x89224)
% 202.05/201.93 [8995]~E(x89956,x89954)+E(f844(f74(x89951,x89952,x89953,x89954,x89955),x89956),x89955)
% 202.05/201.93 [9001]E(x90011,x90012)+E(f844(f74(x90013,x90014,x90015,x90012,x90016),x90011),f844(x90015,x90011))
% 202.05/201.93 [9013]~P24(x90134,x90132,f844(f72(x90131,x90132,x90134,x90133),x90135),x90136)+P24(x90131,x90132,x90133,f844(f309(x90134,x90131,x90135),x90136))
% 202.05/201.93 [9714]P105(f844(f60(x97141),x97142))+~P105(f844(f65(x97141,x97143,x97144,x97145,x97142),x97146))
% 202.05/201.93 [9723]~P105(f844(f844(f328(x97234),x97233),f299(x97234,x97235,x97231,x97232,x97236)))+P105(f844(f844(x97231,x97232),x97233))
% 202.05/201.93 [9724]~P105(f844(f844(f328(x97244),x97243),f296(x97244,x97241,x97245,x97242,x97246)))+P105(f844(f844(x97241,x97242),x97243))
% 202.05/201.93 [9725]~P105(f844(f844(f328(x97254),x97252),f299(x97254,x97251,x97255,x97256,x97253)))+P105(f844(f844(x97251,x97252),x97253))
% 202.05/201.93 [9726]~P105(f844(f844(f328(x97264),x97262),f296(x97264,x97265,x97261,x97266,x97263)))+P105(f844(f844(x97261,x97262),x97263))
% 202.05/201.93 [10227]P11(x102271,x102272,x102273,x102274,x102275,x102276)+~E(f844(f844(x102276,f837(x102273,x102276,x102275,x102272,x102274,x102271)),f840(x102273,x102276,x102275,x102272,x102274,x102271)),f844(f844(x102276,f838(x102273,x102276,x102275,x102272,x102274,x102271)),f839(x102273,x102276,x102275,x102272,x102274,x102271)))
% 202.05/201.93 [5898]E(x58981,x58982)+~E(f844(f844(f251(x58983,x58984),x58985),x58981),f844(f844(f251(x58983,x58984),x58986),x58982))
% 202.05/201.93 [5900]E(x59001,x59002)+~E(f844(f844(f251(x59003,x59004),x59001),x59005),f844(f844(f251(x59003,x59004),x59002),x59006))
% 202.05/201.93 [6041]~P15(x60415,x60416,x60411)+E(f844(f844(x60411,x60412),f844(f844(x60411,x60413),x60414)),f844(f844(x60411,x60413),f844(f844(x60411,x60412),x60414)))
% 202.05/201.93 [7484]~P31(x74844,x74841,f844(f844(f151(x74844),x74842),x74845),f844(f844(f151(x74844),x74843),x74846))+P105(f844(f844(x74841,x74842),x74843))
% 202.05/201.93 [7836]P31(x78361,x78362,x78363,x78364)+~P31(x78361,x78362,f844(f844(f151(x78361),x78365),x78363),f844(f844(f151(x78361),x78366),x78364))
% 202.05/201.93 [8859]~P55(x88595,x88591,x88592,x88596,x88594)+P105(f844(f844(f328(x88591),f844(x88592,x88593)),x88594))
% 202.05/201.93 [9061]~E(x90613,f844(f844(f151(x90611),x90615),x90616))+P105(f844(f844(f328(f915(f909(x90611),f909(x90611))),f844(f844(f251(f909(x90611),f909(x90611)),x90612),f844(f844(f134(x90611),x90612),x90613))),f147(x90611,x90614)))
% 202.05/201.93 [9294]~P33(x92941,x92942,x92943,x92945,x92946)+P33(x92941,x92942,x92943,f844(f844(f175(x92941),x92944),x92945),f844(f844(f175(x92942),x92944),x92946))
% 202.05/201.93 [9295]~P33(x92951,x92952,x92953,x92955,x92956)+P33(x92951,x92952,x92953,f844(f844(f138(x92951),x92954),x92955),f844(f844(f138(x92952),x92954),x92956))
% 202.05/201.93 [9551]E(f844(f309(x95511,x95512,f74(x95511,x95512,x95513,x95514,x95515)),x95516),f844(f309(x95511,x95512,x95513),x95516))+P105(f844(f844(f328(x95511),x95514),x95516))
% 202.05/201.93 [9554]E(f844(f844(f154(x95541,x95542),f74(x95541,x95542,x95543,x95544,x95545)),x95546),f844(f844(f154(x95541,x95542),x95543),x95546))+P105(f844(f844(f328(x95541),x95544),f844(f172(x95541),x95546)))
% 202.05/201.93 [9786]~P22(x97864,x97862,x97865,x97863,x97866,x97861)+E(f844(x97861,f188(f916(x97862,a904))),x97863)
% 202.05/201.93 [10020]~E(f844(x100204,f844(f250(x100201,x100203),x100205)),f844(x100206,f844(f250(x100201,x100203),x100205)))+E(f844(f257(x100201,x100202,x100203,x100203,x100204,f31(x100203)),x100205),f844(f257(x100201,x100202,x100203,x100203,x100206,f31(x100203)),x100205))
% 202.05/201.93 [10021]~E(f844(x100214,f844(f255(x100211,x100212),x100215)),f844(x100216,f844(f255(x100211,x100212),x100215)))+E(f844(f257(x100211,x100211,x100212,x100213,f31(x100211),x100214),x100215),f844(f257(x100211,x100211,x100212,x100213,f31(x100211),x100216),x100215))
% 202.05/201.93 [10074]~E(f844(f257(x100742,x100746,x100743,x100743,x100741,f31(x100743)),x100744),f844(f257(x100742,x100746,x100743,x100743,x100745,f31(x100743)),x100744))+E(f844(x100741,f844(f250(x100742,x100743),x100744)),f844(x100745,f844(f250(x100742,x100743),x100744)))
% 202.05/201.93 [10075]~E(f844(f257(x100752,x100752,x100753,x100756,f31(x100752),x100751),x100754),f844(f257(x100752,x100752,x100753,x100756,f31(x100752),x100755),x100754))+E(f844(x100751,f844(f255(x100752,x100753),x100754)),f844(x100755,f844(f255(x100752,x100753),x100754)))
% 202.05/201.93 [8962]P105(f844(f844(f328(x89621),x89622),x89623))+~P105(f844(f844(f328(f915(x89621,x89624)),f844(f844(f251(x89621,x89624),x89622),x89625)),f844(f844(f253(x89621,x89624),x89623),x89626)))
% 202.05/201.93 [8978]P105(f844(f844(f328(x89781),x89782),f844(x89783,x89784)))+~P105(f844(f844(f328(f915(x89785,x89781)),f844(f844(f251(x89785,x89781),x89784),x89782)),f844(f844(f253(x89785,x89781),x89786),x89783)))
% 202.05/201.93 [9410]P105(f844(f844(f328(f915(x94101,x94101)),f844(f844(f251(x94101,x94101),f844(x94102,x94103)),f844(x94102,x94104))),x94105))+~P105(f844(f844(f328(f915(x94106,x94106)),f844(f844(f251(x94106,x94106),x94103),x94104)),f844(f844(f287(x94101,x94106),x94105),x94102)))
% 202.05/201.93 [9430]~P105(f844(f844(f328(f915(x94304,x94304)),f844(f844(f251(x94304,x94304),f844(x94306,x94302)),f844(x94306,x94303))),x94305))+P105(f844(f844(f328(f915(x94301,x94301)),f844(f844(f251(x94301,x94301),x94302),x94303)),f844(f844(f287(x94304,x94301),x94305),x94306)))
% 202.05/201.93 [10077]E(f844(f844(f251(x100771,x100772),f637(x100773,x100774,x100775,x100776,x100772,x100771)),f638(x100773,x100774,x100775,x100776,x100772,x100771)),x100776)+~P105(f844(f844(f328(f915(x100771,x100772)),x100776),f844(f844(f288(x100771,x100775,x100772),x100774),x100773)))
% 202.05/201.93 [10292]~P105(f844(f844(f328(f915(x102921,x102926)),x102925),f844(f844(f288(x102921,x102922,x102926),x102924),x102923)))+P105(f844(f844(f328(f915(x102921,x102922)),f844(f844(f251(x102921,x102922),f637(x102923,x102924,x102922,x102925,x102926,x102921)),f639(x102923,x102924,x102922,x102925,x102926,x102921))),x102924))
% 202.05/201.93 [10293]~P105(f844(f844(f328(f915(x102936,x102932)),x102935),f844(f844(f288(x102936,x102931,x102932),x102934),x102933)))+P105(f844(f844(f328(f915(x102931,x102932)),f844(f844(f251(x102931,x102932),f639(x102933,x102934,x102931,x102935,x102932,x102936)),f638(x102933,x102934,x102931,x102935,x102932,x102936))),x102933))
% 202.05/201.93 [10294]P11(x102941,x102942,x102943,x102944,x102945,x102946)+P105(f844(f844(f328(f915(x102942,x102942)),f844(f844(f251(x102942,x102942),f839(x102943,x102946,x102945,x102942,x102944,x102941)),f840(x102943,x102946,x102945,x102942,x102944,x102941))),x102945))
% 202.05/201.93 [10295]P11(x102951,x102952,x102953,x102954,x102955,x102956)+P105(f844(f844(f328(f915(x102951,x102951)),f844(f844(f251(x102951,x102951),f838(x102953,x102956,x102955,x102952,x102954,x102951)),f837(x102953,x102956,x102955,x102952,x102954,x102951))),x102954))
% 202.05/201.93 [7906]~P4(x79062)+E(f844(f844(f38(x79061,x79062),x79063),f844(f844(f9(x79061,x79064,x79062),x79065),x79066)),f844(f844(f844(f38(x79061,f916(x79064,x79062)),x79063),x79065),x79066))
% 202.05/201.93 [7907]~P4(x79072)+E(f844(f844(f39(x79071,x79072),x79073),f844(f844(f9(x79071,x79074,x79072),x79075),x79076)),f844(f844(f844(f39(x79071,f916(x79074,x79072)),x79073),x79075),x79076))
% 202.05/201.93 [8666]E(f844(f844(f39(x86661,f916(x86662,a904)),x86663),f844(f844(f10(f916(x86662,a904),f916(x86662,a904),x86661),f844(f308(x86662),x86664)),x86665)),f844(f844(f308(x86662),x86664),f844(f844(f39(x86661,f916(x86662,a904)),x86663),x86665)))+~P105(f844(f844(f328(x86661),x86666),x86663))
% 202.05/201.93 [9114]~P4(x91142)+E(f844(f844(f38(x91141,x91142),x91143),f844(f844(f10(f916(x91144,x91142),x91142,x91141),f844(f38(x91144,x91142),x91145)),f844(f9(x91144,x91141,x91142),x91146))),f844(f844(f38(x91144,x91142),x91145),f844(f844(f10(f916(x91141,x91142),x91142,x91144),f844(f38(x91141,x91142),x91143)),x91146)))
% 202.05/201.93 [9115]~P4(x91152)+E(f844(f844(f39(x91151,x91152),x91153),f844(f844(f10(f916(x91154,x91152),x91152,x91151),f844(f39(x91154,x91152),x91155)),f844(f9(x91154,x91151,x91152),x91156))),f844(f844(f39(x91154,x91152),x91155),f844(f844(f10(f916(x91151,x91152),x91152,x91154),f844(f39(x91151,x91152),x91153)),x91156)))
% 202.05/201.93 [9319]P105(f844(f844(f328(x93191),x93192),f844(f172(x93191),x93193)))+~P105(f844(f844(f328(f915(x93194,x93191)),f844(f844(f251(x93194,x93191),x93195),x93192)),f844(f172(f915(x93194,x93191)),f844(f844(f181(x93194,x93191),x93196),x93193))))
% 202.05/201.93 [9320]P105(f844(f844(f328(x93201),x93202),f844(f172(x93201),x93203)))+~P105(f844(f844(f328(f915(x93201,x93204)),f844(f844(f251(x93201,x93204),x93202),x93205)),f844(f172(f915(x93201,x93204)),f844(f844(f181(x93201,x93204),x93203),x93206))))
% 202.05/201.93 [9426]P105(f844(f844(f234(f916(x94261,a904)),f844(f284(x94262,x94261,x94263),x94264)),x94265))+~P105(f844(f844(f234(f916(f915(x94262,x94261),a904)),x94263),f844(f844(f253(x94262,x94261),x94266),f844(f18(f916(x94261,a904),x94262),x94265))))
% 202.05/201.93 [9431]~P25(x94314,x94312,x94315,f241(f916(x94314,a904)),f241(f916(x94312,a904)))+E(f844(f844(f38(x94311,f916(x94312,a904)),x94313),f844(f844(f10(f916(x94314,a904),f916(x94312,a904),x94311),f309(x94314,x94312,x94315)),x94316)),f844(f309(x94314,x94312,x94315),f844(f844(f38(x94311,f916(x94314,a904)),x94313),x94316)))
% 202.05/201.93 [9618]P105(f844(f844(f328(f915(f909(x96181),f909(x96181))),f844(f844(f251(f909(x96181),f909(x96181)),f844(f844(f151(x96181),x96182),x96183)),f844(f844(f151(x96181),x96184),x96185))),f147(x96181,x96186)))+~P105(f844(f844(f328(f915(x96181,x96181)),f844(f844(f251(x96181,x96181),x96182),x96184)),x96186))
% 202.05/201.93 [10073]E(f844(f844(f251(x100731,x100732),f579(x100733,x100734,x100735,x100732,x100731,x100736)),f580(x100733,x100734,x100735,x100732,x100731,x100736)),x100736)+P105(f844(f844(f328(x100735),x100734),f844(f844(f256(x100731,x100732,f916(x100735,a904)),x100733),x100736)))
% 202.05/201.93 [10080]E(f844(f844(f251(x100801,x100802),f581(x100803,x100804,x100802,x100801,x100805,x100806)),f582(x100803,x100804,x100802,x100801,x100805,x100806)),x100803)+~P105(f844(f844(f328(x100806),x100805),f844(f844(f256(x100801,x100802,f916(x100806,a904)),x100804),x100803)))
% 202.05/201.93 [10240]P105(f844(f844(f328(x102401),x102402),f844(f844(x102403,f581(x102404,x102403,x102405,x102406,x102402,x102401)),f582(x102404,x102403,x102405,x102406,x102402,x102401))))+~P105(f844(f844(f328(x102401),x102402),f844(f844(f256(x102406,x102405,f916(x102401,a904)),x102403),x102404)))
% 202.05/201.93 [10265]~P105(f844(f844(f328(x102651),x102652),f844(f844(x102655,f579(x102655,x102652,x102651,x102654,x102653,x102656)),f580(x102655,x102652,x102651,x102654,x102653,x102656))))+P105(f844(f844(f328(x102651),x102652),f844(f844(f256(x102653,x102654,f916(x102651,a904)),x102655),x102656)))
% 202.05/201.93 [8567]E(x85671,x85672)+E(f844(f844(f159(x85673,f844(f844(f159(x85673,x85674),x85671),x85675)),x85672),x85676),f844(f844(f159(x85673,f844(f844(f159(x85673,x85674),x85672),x85676)),x85671),x85675))
% 202.05/201.93 [9678]~P105(f844(f844(f328(x96783),x96786),x96785))+E(f844(f844(f308(x96781),x96782),f844(f309(x96783,x96781,x96784),f844(f844(f3(f916(x96783,a904)),x96785),f844(f844(f308(x96783),x96786),f188(f916(x96783,a904)))))),f844(f309(x96783,x96781,f74(x96783,x96781,x96784,x96786,x96782)),x96785))
% 202.05/201.93 [9193]~P105(f844(f844(x91934,x91935),x91936))+P105(f844(f844(f844(f844(f110(f916(x91931,f916(x91932,a904))),x91933),x91934),x91935),x91936))
% 202.05/201.93 [9195]~P105(f844(f844(x91953,x91955),x91956))+P105(f844(f844(f844(f844(f110(f916(x91951,f916(x91952,a904))),x91953),x91954),x91955),x91956))
% 202.05/201.93 [9481]P105(f844(f844(x94811,x94812),x94813))+~P105(f844(f844(f844(f844(f101(f916(x94814,f916(x94815,a904))),x94816),x94811),x94812),x94813))
% 202.05/201.93 [9482]P105(f844(f844(x94821,x94822),x94823))+~P105(f844(f844(f844(f844(f101(f916(x94824,f916(x94825,a904))),x94821),x94826),x94822),x94823))
% 202.05/201.93 [9912]~P69(x99122)+E(f844(f844(f8(x99121,x99122),f844(f844(f9(x99121,f916(x99123,a904),x99122),f844(f844(f10(f916(x99123,x99122),f916(f916(x99123,a904),x99122),x99121),f8(x99123,x99122)),x99124)),x99125)),x99126),f844(f844(f8(f915(x99121,x99123),x99122),f844(f256(x99121,x99123,x99122),x99124)),f844(f844(f253(x99121,x99123),x99126),f844(f18(f916(x99123,a904),x99121),x99125))))
% 202.05/201.93 [9913]~P74(x99132)+E(f844(f844(f11(x99131,x99132),f844(f844(f9(x99131,f916(x99133,a904),x99132),f844(f844(f10(f916(x99133,x99132),f916(f916(x99133,a904),x99132),x99131),f11(x99133,x99132)),x99134)),x99135)),x99136),f844(f844(f11(f915(x99131,x99133),x99132),f844(f256(x99131,x99133,x99132),x99134)),f844(f844(f253(x99131,x99133),x99136),f844(f18(f916(x99133,a904),x99131),x99135))))
% 202.05/201.93 [10045]~P69(x100452)+E(f844(f844(f8(x100451,x100452),f844(f844(f9(x100451,f916(x100453,a904),x100452),f844(f844(f10(f916(x100453,x100452),f916(f916(x100453,a904),x100452),x100451),f8(x100453,x100452)),f844(f9(x100453,x100451,x100452),x100454))),x100455)),x100456),f844(f844(f8(x100453,x100452),f844(f844(f9(x100453,f916(x100451,a904),x100452),f844(f844(f10(f916(x100451,x100452),f916(f916(x100451,a904),x100452),x100453),f8(x100451,x100452)),x100454)),x100456)),x100455))
% 202.05/201.93 [10356]~P105(f844(f844(f328(f915(x103561,x103562)),f844(f844(f251(x103561,x103562),x103565),x103566)),f844(f844(f110(f916(f915(x103561,x103562),a904)),x103563),x103564)))+P105(f844(f844(f844(f844(f110(f916(x103561,f916(x103562,a904))),f844(f844(f9(x103561,f916(f915(x103561,x103562),a904),f916(x103562,a904)),f844(f844(f10(f916(x103562,f916(f916(f915(x103561,x103562),a904),a904)),f916(f916(f915(x103561,x103562),a904),f916(x103562,a904)),x103561),f9(x103562,f916(f915(x103561,x103562),a904),a904)),f844(f844(f10(f916(x103562,f915(x103561,x103562)),f916(x103562,f916(f916(f915(x103561,x103562),a904),a904)),x103561),f844(f10(f915(x103561,x103562),f916(f916(f915(x103561,x103562),a904),a904),x103562),f328(f915(x103561,x103562)))),f251(x103561,x103562)))),x103563)),f844(f844(f9(x103561,f916(f915(x103561,x103562),a904),f916(x103562,a904)),f844(f844(f10(f916(x103562,f916(f916(f915(x103561,x103562),a904),a904)),f916(f916(f915(x103561,x103562),a904),f916(x103562,a904)),x103561),f9(x103562,f916(f915(x103561,x103562),a904),a904)),f844(f844(f10(f916(x103562,f915(x103561,x103562)),f916(x103562,f916(f916(f915(x103561,x103562),a904),a904)),x103561),f844(f10(f915(x103561,x103562),f916(f916(f915(x103561,x103562),a904),a904),x103562),f328(f915(x103561,x103562)))),f251(x103561,x103562)))),x103564)),x103565),x103566))
% 202.05/201.93 [10357]~P105(f844(f844(f328(f915(x103571,x103572)),f844(f844(f251(x103571,x103572),x103575),x103576)),f844(f844(f101(f916(f915(x103571,x103572),a904)),x103573),x103574)))+P105(f844(f844(f844(f844(f101(f916(x103571,f916(x103572,a904))),f844(f844(f9(x103571,f916(f915(x103571,x103572),a904),f916(x103572,a904)),f844(f844(f10(f916(x103572,f916(f916(f915(x103571,x103572),a904),a904)),f916(f916(f915(x103571,x103572),a904),f916(x103572,a904)),x103571),f9(x103572,f916(f915(x103571,x103572),a904),a904)),f844(f844(f10(f916(x103572,f915(x103571,x103572)),f916(x103572,f916(f916(f915(x103571,x103572),a904),a904)),x103571),f844(f10(f915(x103571,x103572),f916(f916(f915(x103571,x103572),a904),a904),x103572),f328(f915(x103571,x103572)))),f251(x103571,x103572)))),x103573)),f844(f844(f9(x103571,f916(f915(x103571,x103572),a904),f916(x103572,a904)),f844(f844(f10(f916(x103572,f916(f916(f915(x103571,x103572),a904),a904)),f916(f916(f915(x103571,x103572),a904),f916(x103572,a904)),x103571),f9(x103572,f916(f915(x103571,x103572),a904),a904)),f844(f844(f10(f916(x103572,f915(x103571,x103572)),f916(x103572,f916(f916(f915(x103571,x103572),a904),a904)),x103571),f844(f10(f915(x103571,x103572),f916(f916(f915(x103571,x103572),a904),a904),x103572),f328(f915(x103571,x103572)))),f251(x103571,x103572)))),x103574)),x103575),x103576))
% 202.05/201.93 [10366]P105(f844(f844(f328(f915(x103661,x103662)),f844(f844(f251(x103661,x103662),x103663),x103664)),f844(f844(f110(f916(f915(x103661,x103662),a904)),x103665),x103666)))+~P105(f844(f844(f844(f844(f110(f916(x103661,f916(x103662,a904))),f844(f844(f9(x103661,f916(f915(x103661,x103662),a904),f916(x103662,a904)),f844(f844(f10(f916(x103662,f916(f916(f915(x103661,x103662),a904),a904)),f916(f916(f915(x103661,x103662),a904),f916(x103662,a904)),x103661),f9(x103662,f916(f915(x103661,x103662),a904),a904)),f844(f844(f10(f916(x103662,f915(x103661,x103662)),f916(x103662,f916(f916(f915(x103661,x103662),a904),a904)),x103661),f844(f10(f915(x103661,x103662),f916(f916(f915(x103661,x103662),a904),a904),x103662),f328(f915(x103661,x103662)))),f251(x103661,x103662)))),x103665)),f844(f844(f9(x103661,f916(f915(x103661,x103662),a904),f916(x103662,a904)),f844(f844(f10(f916(x103662,f916(f916(f915(x103661,x103662),a904),a904)),f916(f916(f915(x103661,x103662),a904),f916(x103662,a904)),x103661),f9(x103662,f916(f915(x103661,x103662),a904),a904)),f844(f844(f10(f916(x103662,f915(x103661,x103662)),f916(x103662,f916(f916(f915(x103661,x103662),a904),a904)),x103661),f844(f10(f915(x103661,x103662),f916(f916(f915(x103661,x103662),a904),a904),x103662),f328(f915(x103661,x103662)))),f251(x103661,x103662)))),x103666)),x103663),x103664))
% 202.05/201.93 [10367]P105(f844(f844(f328(f915(x103671,x103672)),f844(f844(f251(x103671,x103672),x103673),x103674)),f844(f844(f101(f916(f915(x103671,x103672),a904)),x103675),x103676)))+~P105(f844(f844(f844(f844(f101(f916(x103671,f916(x103672,a904))),f844(f844(f9(x103671,f916(f915(x103671,x103672),a904),f916(x103672,a904)),f844(f844(f10(f916(x103672,f916(f916(f915(x103671,x103672),a904),a904)),f916(f916(f915(x103671,x103672),a904),f916(x103672,a904)),x103671),f9(x103672,f916(f915(x103671,x103672),a904),a904)),f844(f844(f10(f916(x103672,f915(x103671,x103672)),f916(x103672,f916(f916(f915(x103671,x103672),a904),a904)),x103671),f844(f10(f915(x103671,x103672),f916(f916(f915(x103671,x103672),a904),a904),x103672),f328(f915(x103671,x103672)))),f251(x103671,x103672)))),x103675)),f844(f844(f9(x103671,f916(f915(x103671,x103672),a904),f916(x103672,a904)),f844(f844(f10(f916(x103672,f916(f916(f915(x103671,x103672),a904),a904)),f916(f916(f915(x103671,x103672),a904),f916(x103672,a904)),x103671),f9(x103672,f916(f915(x103671,x103672),a904),a904)),f844(f844(f10(f916(x103672,f915(x103671,x103672)),f916(x103672,f916(f916(f915(x103671,x103672),a904),a904)),x103671),f844(f10(f915(x103671,x103672),f916(f916(f915(x103671,x103672),a904),a904),x103672),f328(f915(x103671,x103672)))),f251(x103671,x103672)))),x103676)),x103673),x103674))
% 202.05/201.93 [10350]~P105(f844(f844(f328(f915(x103502,x103503)),f844(f844(f251(x103502,x103503),x103505),x103506)),f844(f844(f38(x103501,f916(f915(x103502,x103503),a904)),f241(f916(x103501,a904))),x103504)))+P105(f844(f844(f844(f844(f38(x103501,f916(x103502,f916(x103503,a904))),f241(f916(x103501,a904))),f844(f844(f10(f916(f915(x103502,x103503),a904),f916(x103502,f916(x103503,a904)),x103501),f844(f9(x103502,f916(f915(x103502,x103503),a904),f916(x103503,a904)),f844(f844(f10(f916(x103503,f916(f916(f915(x103502,x103503),a904),a904)),f916(f916(f915(x103502,x103503),a904),f916(x103503,a904)),x103502),f9(x103503,f916(f915(x103502,x103503),a904),a904)),f844(f844(f10(f916(x103503,f915(x103502,x103503)),f916(x103503,f916(f916(f915(x103502,x103503),a904),a904)),x103502),f844(f10(f915(x103502,x103503),f916(f916(f915(x103502,x103503),a904),a904),x103503),f328(f915(x103502,x103503)))),f251(x103502,x103503))))),x103504)),x103505),x103506))
% 202.05/201.93 [10351]~P105(f844(f844(f328(f915(x103512,x103513)),f844(f844(f251(x103512,x103513),x103515),x103516)),f844(f844(f39(x103511,f916(f915(x103512,x103513),a904)),f241(f916(x103511,a904))),x103514)))+P105(f844(f844(f844(f844(f39(x103511,f916(x103512,f916(x103513,a904))),f241(f916(x103511,a904))),f844(f844(f10(f916(f915(x103512,x103513),a904),f916(x103512,f916(x103513,a904)),x103511),f844(f9(x103512,f916(f915(x103512,x103513),a904),f916(x103513,a904)),f844(f844(f10(f916(x103513,f916(f916(f915(x103512,x103513),a904),a904)),f916(f916(f915(x103512,x103513),a904),f916(x103513,a904)),x103512),f9(x103513,f916(f915(x103512,x103513),a904),a904)),f844(f844(f10(f916(x103513,f915(x103512,x103513)),f916(x103513,f916(f916(f915(x103512,x103513),a904),a904)),x103512),f844(f10(f915(x103512,x103513),f916(f916(f915(x103512,x103513),a904),a904),x103513),f328(f915(x103512,x103513)))),f251(x103512,x103513))))),x103514)),x103515),x103516))
% 202.05/201.93 [10360]P105(f844(f844(f328(f915(x103601,x103602)),f844(f844(f251(x103601,x103602),x103603),x103604)),f844(f844(f38(x103605,f916(f915(x103601,x103602),a904)),f241(f916(x103605,a904))),x103606)))+~P105(f844(f844(f844(f844(f38(x103605,f916(x103601,f916(x103602,a904))),f241(f916(x103605,a904))),f844(f844(f10(f916(f915(x103601,x103602),a904),f916(x103601,f916(x103602,a904)),x103605),f844(f9(x103601,f916(f915(x103601,x103602),a904),f916(x103602,a904)),f844(f844(f10(f916(x103602,f916(f916(f915(x103601,x103602),a904),a904)),f916(f916(f915(x103601,x103602),a904),f916(x103602,a904)),x103601),f9(x103602,f916(f915(x103601,x103602),a904),a904)),f844(f844(f10(f916(x103602,f915(x103601,x103602)),f916(x103602,f916(f916(f915(x103601,x103602),a904),a904)),x103601),f844(f10(f915(x103601,x103602),f916(f916(f915(x103601,x103602),a904),a904),x103602),f328(f915(x103601,x103602)))),f251(x103601,x103602))))),x103606)),x103603),x103604))
% 202.05/201.93 [10361]P105(f844(f844(f328(f915(x103611,x103612)),f844(f844(f251(x103611,x103612),x103613),x103614)),f844(f844(f39(x103615,f916(f915(x103611,x103612),a904)),f241(f916(x103615,a904))),x103616)))+~P105(f844(f844(f844(f844(f39(x103615,f916(x103611,f916(x103612,a904))),f241(f916(x103615,a904))),f844(f844(f10(f916(f915(x103611,x103612),a904),f916(x103611,f916(x103612,a904)),x103615),f844(f9(x103611,f916(f915(x103611,x103612),a904),f916(x103612,a904)),f844(f844(f10(f916(x103612,f916(f916(f915(x103611,x103612),a904),a904)),f916(f916(f915(x103611,x103612),a904),f916(x103612,a904)),x103611),f9(x103612,f916(f915(x103611,x103612),a904),a904)),f844(f844(f10(f916(x103612,f915(x103611,x103612)),f916(x103612,f916(f916(f915(x103611,x103612),a904),a904)),x103611),f844(f10(f915(x103611,x103612),f916(f916(f915(x103611,x103612),a904),a904),x103612),f328(f915(x103611,x103612)))),f251(x103611,x103612))))),x103616)),x103613),x103614))
% 202.05/201.93 [7416]E(x74161,x74162)+~E(f91(x74163,x74164,x74165,x74161),f91(x74163,x74166,x74167,x74162))
% 202.05/201.93 [7417]E(x74171,x74172)+~E(f91(x74173,x74174,x74171,x74175),f91(x74173,x74176,x74172,x74177))
% 202.05/201.93 [7418]E(x74181,x74182)+~E(f91(x74183,x74181,x74184,x74185),f91(x74183,x74182,x74186,x74187))
% 202.05/201.93 [7589]E(f844(x75891,f844(x75892,x75893)),f844(x75894,x75893))+~E(f844(f72(x75895,x75896,x75897,x75891),x75892),x75894)
% 202.05/201.93 [9694]E(x96941,x96942)+E(f74(x96943,x96944,f74(x96943,x96944,x96945,x96941,x96946),x96942,x96947),f74(x96943,x96944,f74(x96943,x96944,x96945,x96942,x96947),x96941,x96946))
% 202.05/201.93 [9785]~P21(x97853,x97854,x97851,x97855,x97856,x97857)+E(f844(f844(x97851,x97852),x97852),x97852)
% 202.05/201.93 [6142]~E(f844(f844(f154(x61421,x61425),x61426),x61422),f844(f844(f154(x61423,x61425),x61427),x61424))+E(f844(f189(f909(x61421)),x61422),f844(f189(f909(x61423)),x61424))
% 202.05/201.93 [8598]E(f844(x85981,f844(x85982,x85983)),f844(x85984,x85983))+~E(f844(f72(x85985,x85986,x85987,x85981),x85982),f844(f72(x85986,x85986,x85987,f31(x85986)),x85984))
% 202.05/201.93 [8951]~P33(x89514,x89515,x89511,f844(f844(f151(x89514),x89512),x89516),f844(f844(f151(x89515),x89513),x89517))+P105(f844(f844(x89511,x89512),x89513))
% 202.05/201.93 [9326]P33(x93261,x93262,x93263,x93264,x93265)+~P33(x93261,x93262,x93263,f844(f844(f151(x93261),x93266),x93264),f844(f844(f151(x93262),x93267),x93265))
% 202.05/201.93 [9945]P105(f844(f844(x99451,x99452),f553(x99453,x99452,x99454,x99451)))+~P105(f844(f844(f252(x99455,x99456,x99457,x99451,x99454),x99452),x99453))
% 202.05/201.93 [9969]P105(f844(f844(x99691,f553(x99692,x99693,x99691,x99694)),x99692))+~P105(f844(f844(f252(x99695,x99696,x99697,x99694,x99691),x99693),x99692))
% 202.05/201.93 [9068]~P19(x90686,x90681,x90683,x90687)+E(f844(f72(x90681,x90681,x90682,f844(x90683,x90684)),f844(f72(x90681,x90681,x90682,f844(x90683,x90684)),x90685)),f844(f72(x90681,x90681,x90682,f844(x90683,x90684)),x90685))
% 202.05/201.93 [9434]~P33(x94343,x94342,x94344,f844(f844(f154(x94341,x94343),x94345),x94346),x94347)+P33(x94341,x94342,f844(f844(f10(x94343,f916(x94342,a904),x94341),x94344),x94345),x94346,x94347)
% 202.05/201.93 [9457]P33(x94571,x94572,x94573,f844(f844(f154(x94574,x94571),x94575),x94576),x94577)+~P33(x94574,x94572,f844(f844(f10(x94571,f916(x94572,a904),x94574),x94573),x94575),x94576,x94577)
% 202.05/201.93 [9067]~P105(f844(f844(f328(x90671),x90672),f844(f844(x90675,x90676),x90677)))+P105(f844(f844(f328(x90671),x90672),f844(f844(f256(x90673,x90674,f916(x90671,a904)),x90675),f844(f844(f251(x90673,x90674),x90676),x90677))))
% 202.05/201.93 [9349]P105(f844(f844(f844(x93491,x93492),x93493),x93494))+~P105(f844(f844(f844(f256(x93495,x93496,f916(x93497,a904)),x93491),f844(f844(f251(x93495,x93496),x93492),x93493)),x93494))
% 202.05/201.93 [9496]P105(f844(f844(f328(x94961),f844(f844(x94962,x94963),x94964)),f844(f309(f915(x94965,x94966),x94961,f844(f256(x94965,x94966,x94961),x94962)),x94967)))+~P105(f844(f844(f328(f915(x94965,x94966)),f844(f844(f251(x94965,x94966),x94963),x94964)),x94967))
% 202.05/201.93 [9833]P105(f844(f844(f328(f915(f909(x98331),f909(x98331))),f844(f844(f251(f909(x98331),f909(x98331)),f844(f844(f134(x98331),x98332),f844(f844(f151(x98331),x98333),x98334))),f844(f844(f134(x98331),x98332),f844(f844(f151(x98331),x98335),x98336)))),f147(x98331,x98337)))+~P105(f844(f844(f328(f915(x98331,x98331)),f844(f844(f251(x98331,x98331),x98333),x98335)),x98337))
% 202.05/201.93 [9897]~P33(x98971,x98973,x98974,x98976,f844(f844(f154(x98972,x98973),x98975),x98977))+P33(x98971,x98972,f844(f844(f9(x98971,f916(x98972,x98973),f916(x98972,a904)),f844(f844(f10(f916(x98973,a904),f916(f916(x98972,x98973),f916(x98972,a904)),x98971),f10(x98973,a904,x98972)),x98974)),x98975),x98976,x98977)
% 202.05/201.93 [9973]P33(x99731,x99732,x99733,x99734,f844(f844(f154(x99735,x99732),x99736),x99737))+~P33(x99731,x99735,f844(f844(f9(x99731,f916(x99735,x99732),f916(x99735,a904)),f844(f844(f10(f916(x99732,a904),f916(f916(x99735,x99732),f916(x99735,a904)),x99731),f10(x99732,a904,x99735)),x99733)),x99736),x99734,x99737)
% 202.05/201.93 [10279]P105(f844(f844(f328(x102791),f422(x102792,x102793,x102794,x102795,x102796,x102797,x102791)),x102795))+P105(f844(f844(f844(f844(f38(x102791,f916(x102797,f916(x102796,a904))),x102795),x102794),x102793),x102792))
% 202.05/201.93 [10280]P105(f844(f844(f328(x102801),f773(x102802,x102803,x102804,x102805,x102806,x102807,x102801)),x102807))+P105(f844(f844(f844(f844(f38(x102801,f916(x102803,f916(x102802,a904))),x102807),x102806),x102805),x102804))
% 202.05/201.93 [10281]P105(f844(f844(f328(x102811),f464(x102812,x102813,x102814,x102815,x102816,x102817,x102811)),x102815))+~P105(f844(f844(f844(f844(f39(x102811,f916(x102817,f916(x102816,a904))),x102815),x102814),x102813),x102812))
% 202.05/201.93 [10282]P105(f844(f844(f328(x102821),f774(x102822,x102823,x102824,x102825,x102826,x102827,x102821)),x102825))+~P105(f844(f844(f844(f844(f39(x102821,f916(x102827,f916(x102826,a904))),x102825),x102824),x102823),x102822))
% 202.05/201.93 [10315]P105(f844(f844(f844(x103151,f464(x103152,x103153,x103151,x103154,x103155,x103156,x103157)),x103153),x103152))+~P105(f844(f844(f844(f844(f39(x103157,f916(x103156,f916(x103155,a904))),x103154),x103151),x103153),x103152))
% 202.05/201.93 [10316]P105(f844(f844(f844(x103161,f774(x103162,x103163,x103161,x103164,x103165,x103166,x103167)),x103163),x103162))+~P105(f844(f844(f844(f844(f39(x103167,f916(x103166,f916(x103165,a904))),x103164),x103161),x103163),x103162))
% 202.05/201.93 [10331]~P105(f844(f844(f844(x103315,f422(x103317,x103316,x103315,x103314,x103313,x103312,x103311)),x103316),x103317))+P105(f844(f844(f844(f844(f38(x103311,f916(x103312,f916(x103313,a904))),x103314),x103315),x103316),x103317))
% 202.05/201.93 [10332]~P105(f844(f844(f844(x103325,f773(x103323,x103322,x103327,x103326,x103325,x103324,x103321)),x103326),x103327))+P105(f844(f844(f844(f844(f38(x103321,f916(x103322,f916(x103323,a904))),x103324),x103325),x103326),x103327))
% 202.05/201.93 [10349]~P105(f844(f844(f328(f915(x103491,x103493)),f844(f844(f251(x103491,x103493),x103496),x103497)),f844(f844(f288(x103491,x103492,x103493),x103494),x103495)))+P105(f844(f844(f252(x103491,x103492,x103493,f844(f844(f9(x103491,f916(f915(x103491,x103492),a904),f916(x103492,a904)),f844(f844(f10(f916(x103492,f916(f916(f915(x103491,x103492),a904),a904)),f916(f916(f915(x103491,x103492),a904),f916(x103492,a904)),x103491),f9(x103492,f916(f915(x103491,x103492),a904),a904)),f844(f844(f10(f916(x103492,f915(x103491,x103492)),f916(x103492,f916(f916(f915(x103491,x103492),a904),a904)),x103491),f844(f10(f915(x103491,x103492),f916(f916(f915(x103491,x103492),a904),a904),x103492),f328(f915(x103491,x103492)))),f251(x103491,x103492)))),x103494),f844(f844(f9(x103492,f916(f915(x103492,x103493),a904),f916(x103493,a904)),f844(f844(f10(f916(x103493,f916(f916(f915(x103492,x103493),a904),a904)),f916(f916(f915(x103492,x103493),a904),f916(x103493,a904)),x103492),f9(x103493,f916(f915(x103492,x103493),a904),a904)),f844(f844(f10(f916(x103493,f915(x103492,x103493)),f916(x103493,f916(f916(f915(x103492,x103493),a904),a904)),x103492),f844(f10(f915(x103492,x103493),f916(f916(f915(x103492,x103493),a904),a904),x103493),f328(f915(x103492,x103493)))),f251(x103492,x103493)))),x103495)),x103496),x103497))
% 202.05/201.93 [10359]P105(f844(f844(f328(f915(x103591,x103592)),f844(f844(f251(x103591,x103592),x103593),x103594)),f844(f844(f288(x103591,x103595,x103592),x103596),x103597)))+~P105(f844(f844(f252(x103591,x103595,x103592,f844(f844(f9(x103591,f916(f915(x103591,x103595),a904),f916(x103595,a904)),f844(f844(f10(f916(x103595,f916(f916(f915(x103591,x103595),a904),a904)),f916(f916(f915(x103591,x103595),a904),f916(x103595,a904)),x103591),f9(x103595,f916(f915(x103591,x103595),a904),a904)),f844(f844(f10(f916(x103595,f915(x103591,x103595)),f916(x103595,f916(f916(f915(x103591,x103595),a904),a904)),x103591),f844(f10(f915(x103591,x103595),f916(f916(f915(x103591,x103595),a904),a904),x103595),f328(f915(x103591,x103595)))),f251(x103591,x103595)))),x103596),f844(f844(f9(x103595,f916(f915(x103595,x103592),a904),f916(x103592,a904)),f844(f844(f10(f916(x103592,f916(f916(f915(x103595,x103592),a904),a904)),f916(f916(f915(x103595,x103592),a904),f916(x103592,a904)),x103595),f9(x103592,f916(f915(x103595,x103592),a904),a904)),f844(f844(f10(f916(x103592,f915(x103595,x103592)),f916(x103592,f916(f916(f915(x103595,x103592),a904),a904)),x103595),f844(f10(f915(x103595,x103592),f916(f916(f915(x103595,x103592),a904),a904),x103592),f328(f915(x103595,x103592)))),f251(x103595,x103592)))),x103597)),x103593),x103594))
% 202.05/201.93 [10291]~P144(x102912)+E(f844(f844(f8(x102911,x102912),f844(f844(f9(x102911,f916(x102913,a904),x102912),f844(f844(f10(f916(x102913,x102912),f916(f916(x102913,a904),x102912),x102911),f8(x102913,x102912)),f844(f844(f9(x102911,f916(x102913,x102912),f916(x102913,x102912)),f844(f844(f10(f916(x102912,x102912),f916(f916(x102913,x102912),f916(x102913,x102912)),x102911),f10(x102912,x102912,x102913)),f844(f844(f10(x102912,f916(x102912,x102912),x102911),f80(x102912)),x102914))),x102915))),x102916)),x102917),f844(f844(f80(x102912),f844(f844(f8(x102911,x102912),x102914),x102917)),f844(f844(f8(x102913,x102912),x102915),x102916)))
% 202.05/201.93 [9382]~P18(x93827,x93821,x93823,x93828)+E(f844(f72(x93821,x93821,x93822,f844(x93823,x93824)),f844(f72(x93821,x93821,x93822,f844(x93823,x93825)),x93826)),f844(f72(x93821,x93821,x93822,f844(x93823,x93825)),f844(f72(x93821,x93821,x93822,f844(x93823,x93824)),x93826)))
% 202.05/201.93 [10354]E(f844(f844(f251(x103541,x103542),f844(x103543,f536(x103544,x103545,x103543,x103546,x103547,x103548,x103542,x103541))),f844(x103545,f537(x103544,x103545,x103543,x103546,x103547,x103548,x103542,x103541))),x103548)+~P105(f844(f844(f328(f915(x103541,x103542)),x103548),f844(f309(f915(x103547,x103546),f915(x103541,x103542),f257(x103547,x103541,x103546,x103542,x103543,x103545)),x103544)))
% 202.05/201.93 [10372]~P105(f844(f844(f328(f915(x103728,x103727)),x103726),f844(f309(f915(x103721,x103722),f915(x103728,x103727),f257(x103721,x103728,x103722,x103727,x103725,x103724)),x103723)))+P105(f844(f844(f328(f915(x103721,x103722)),f844(f844(f251(x103721,x103722),f536(x103723,x103724,x103725,x103722,x103721,x103726,x103727,x103728)),f537(x103723,x103724,x103725,x103722,x103721,x103726,x103727,x103728))),x103723))
% 202.05/201.93 [9823]P105(f844(f844(f328(f915(f915(x98231,x98232),f915(x98231,x98232))),f844(f844(f251(f915(x98231,x98232),f915(x98231,x98232)),f844(f844(f251(x98231,x98232),x98233),x98234)),f844(f844(f251(x98231,x98232),x98235),x98236))),f318(x98231,x98232,x98237,x98238)))+~P105(f844(f844(f328(f915(x98231,x98231)),f844(f844(f251(x98231,x98231),x98233),x98235)),x98237))
% 202.05/201.93 [10343]E(f844(f142(x103431,x103432,f844(f9(x103432,x103431,x103431),x103433),f844(x103434,x103435)),x103436),f844(x103434,f844(f142(x103437,x103432,f844(f9(x103432,x103437,x103437),x103438),x103435),x103436)))+P105(f844(f844(f328(x103432),f722(x103435,x103438,x103434,x103433,x103437,x103431,x103436,x103432)),f844(f172(x103432),x103436)))
% 202.05/201.93 [10362]~E(f844(f72(x103621,x103621,x103627,f844(x103623,f722(x103625,x103628,x103624,x103623,x103627,x103621,x103626,x103622))),x103624),f844(f72(x103627,x103621,x103627,x103624),f844(x103628,f722(x103625,x103628,x103624,x103623,x103627,x103621,x103626,x103622))))+E(f844(f142(x103621,x103622,f844(f9(x103622,x103621,x103621),x103623),f844(x103624,x103625)),x103626),f844(x103624,f844(f142(x103627,x103622,f844(f9(x103622,x103627,x103627),x103628),x103625),x103626)))
% 202.05/201.93 [8603]E(f844(x86031,f844(x86032,x86033)),f844(x86034,f844(x86035,x86033)))+~E(f844(f72(x86036,x86037,x86038,x86031),x86032),f844(f72(x86039,x86037,x86038,x86034),x86035))
% 202.05/201.93 [10206]P105(f844(f844(f328(f915(x102061,x102062)),f844(f844(f251(x102061,x102062),f844(x102063,x102064)),f844(x102065,x102066))),f844(f309(f915(x102067,x102068),f915(x102061,x102062),f257(x102067,x102061,x102068,x102062,x102063,x102065)),x102069)))+~P105(f844(f844(f328(f915(x102067,x102068)),f844(f844(f251(x102067,x102068),x102064),x102066)),x102069))
% 202.05/201.93 [8897]~E(f844(x88974,f844(x88975,x88976)),f844(x88979,f844(x889710,x889711)))+E(f844(f844(f72(x88971,x88972,x88973,x88974),x88975),x88976),f844(f844(f72(x88977,x88972,x88978,x88979),x889710),x889711))
% 202.05/201.93 [4699]~P108(x46991)+~P101(x46991)+E(f101(x46991),f232(x46991))
% 202.05/201.93 [4700]~P108(x47001)+~P100(x47001)+E(f110(x47001),f233(x47001))
% 202.05/201.93 [4949]~P118(x49491)+~P94(x49491)+E(f844(f75(x49491),f844(f103(x49491),a97)),f77(x49491))
% 202.05/201.93 [5242]E(x52421,f2(a1))+E(f81(a1,x52421),f844(f78(a1),f77(a1)))+P105(f844(f844(f235(a1),f2(a1)),x52421))
% 202.05/201.93 [5453]E(x54531,f2(a1))+E(f81(a1,x54531),f77(a1))+~P105(f844(f844(f235(a1),f2(a1)),x54531))
% 202.05/201.93 [7488]~P39(x74881)+P105(f844(f60(a1),x74881))+~P105(f844(f60(a908),f844(f309(a1,a908,a104),x74881)))
% 202.05/201.93 [9784]E(x97841,f188(f916(f915(a908,a908),a904)))+~P105(f844(f60(f915(a908,a908)),x97841))+P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),f188(f916(f915(a908,a908),a904))),x97841)),a33))
% 202.05/201.93 [9946]E(x99461,f2(a908))+E(x99461,f844(a112,f2(a908)))+~P105(f844(f844(f235(a908),x99461),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 202.05/201.93 [10235]E(x102351,f2(a99))+E(f844(f844(f79(a1),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(a24,f844(f844(f35(a99),x102351),f844(f103(a99),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))),f77(a1)),f844(a24,x102351))+E(f44(a99,x102351,f844(f103(a99),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f2(a99))
% 202.05/201.93 [10084]E(x100841,f2(a99))+~E(f44(a99,x100841,f844(f103(a99),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f2(a99))+E(f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(a24,f844(f844(f35(a99),x100841),f844(f103(a99),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))),f844(a24,x100841))
% 202.05/201.93 [4780]~P56(x47801,x47802)+P43(x47801,x47802)+~P44(a904)
% 202.05/201.93 [4709]~P143(x47091)+P27(x47091,x47092)+~E(x47092,f2(x47091))
% 202.05/201.93 [4710]~P108(x47101)+P12(x47101,x47102)+~E(x47102,f113(x47101))
% 202.05/201.93 [4719]~P118(x47191)+~E(x47192,f2(x47191))+E(f81(x47191,x47192),f2(x47191))
% 202.05/201.93 [4720]~P90(x47201)+~E(x47202,f2(x47201))+E(f81(x47201,x47202),f2(x47201))
% 202.05/201.93 [4728]~P143(x47282)+~P27(x47282,x47281)+E(x47281,f2(x47282))
% 202.05/201.93 [4773]~P118(x47732)+~E(f81(x47732,x47731),f2(x47732))+E(x47731,f2(x47732))
% 202.05/201.93 [4787]~P3(x47872)+~P3(x47871)+P3(f916(x47871,x47872))
% 202.05/201.93 [4788]~P3(x47882)+~P3(x47881)+P3(f914(x47881,x47882))
% 202.05/201.93 [4789]~P3(x47892)+~P3(x47891)+P3(f915(x47891,x47892))
% 202.05/201.93 [4790]~P5(x47902)+~P5(x47901)+P5(f194(x47901,x47902))
% 202.05/201.93 [4791]~P61(x47912)+~P61(x47911)+P61(f916(x47911,x47912))
% 202.05/201.93 [4792]~P61(x47922)+~P61(x47921)+P61(f914(x47921,x47922))
% 202.05/201.93 [4793]~P61(x47932)+~P61(x47931)+P61(f915(x47931,x47932))
% 202.05/201.93 [4794]~P103(x47942)+~P103(x47941)+P103(f915(x47941,x47942))
% 202.05/201.93 [4921]~P108(x49211)+~P12(x49211,x49212)+P12(x49211,f152(x49211,x49212))
% 202.05/201.93 [5169]~P5(x51692)+~P5(x51691)+P5(f44(a1,x51691,x51692))
% 202.05/201.93 [4730]~P75(x47301)+~E(x47302,f2(x47301))+E(f844(f78(x47301),x47302),x47302)
% 202.05/201.93 [4745]~P140(x47451)+~E(x47452,f2(a1))+E(f844(f102(x47451),x47452),f2(x47451))
% 202.05/201.93 [4746]~P92(x47461)+~E(x47462,f2(a1))+E(f844(f102(x47461),x47462),f2(x47461))
% 202.05/201.93 [4770]~P73(x47701)+~E(f2(x47701),x47702)+E(f844(f78(x47701),x47702),f2(x47701))
% 202.05/201.93 [4771]~P86(x47711)+~E(x47712,f2(x47711))+E(f844(f75(x47711),x47712),f2(x47711))
% 202.05/201.93 [4772]~P73(x47721)+~E(x47722,f2(x47721))+E(f844(f78(x47721),x47722),f2(x47721))
% 202.05/201.93 [4796]~P75(x47962)+E(x47961,f2(x47962))+~E(f844(f78(x47962),x47961),x47961)
% 202.05/201.93 [4802]E(x48021,f844(a104,x48022))+~E(x48021,f2(a908))+~E(x48022,f844(f100(a1),x48021))
% 202.05/201.93 [4803]E(f844(a104,x48031),x48032)+~E(x48032,f2(a908))+~E(x48031,f844(f100(a1),x48032))
% 202.05/201.93 [4807]~P92(x48072)+E(x48071,f2(a1))+~E(f844(f102(x48072),x48071),f2(x48072))
% 202.05/201.93 [4811]~P86(x48112)+E(x48111,f2(x48112))+~E(f844(f75(x48112),x48111),f2(x48112))
% 202.05/201.93 [4812]~P73(x48122)+E(x48121,f2(x48122))+~E(f844(f78(x48122),x48121),f2(x48122))
% 202.05/201.93 [4813]~P73(x48131)+E(f2(x48131),x48132)+~E(f844(f78(x48131),x48132),f2(x48131))
% 202.05/201.93 [4996]~P108(x49961)+~P12(x49961,x49962)+P12(x49961,f844(f171(x49961),x49962))
% 202.05/201.93 [5023]~P105(x50232)+~P105(x50231)+P105(f844(f844(a325,x50231),x50232))
% 202.05/201.93 [5061]~E(f77(a908),f2(a908))+E(f844(f34(x50611),x50612),f2(a908))+~P105(f844(f60(x50611),x50612))
% 202.05/201.93 [5097]~P115(x50971)+~P144(x50971)+E(f844(f844(f243(x50971),f2(x50971)),f844(a112,x50972)),f2(x50971))
% 202.05/201.93 [5137]~P108(x51371)+P12(x51371,f139(x51371,x51372))+~P105(f844(f60(x51371),x51372))
% 202.05/201.93 [5138]~P108(x51381)+P12(x51381,f714(x51382,x51381))+~P105(f844(f60(x51381),x51382))
% 202.05/201.93 [5161]~P108(x51611)+E(f844(f172(x51611),f139(x51611,x51612)),x51612)+~P105(f844(f60(x51611),x51612))
% 202.05/201.93 [5162]~P108(x51621)+E(f844(f172(x51621),f714(x51622,x51621)),x51622)+~P105(f844(f60(x51621),x51622))
% 202.05/201.93 [5191]P105(x51911)+P105(x51912)+~P105(f844(f844(a326,x51912),x51911))
% 202.05/201.93 [5204]E(x52041,f188(f916(x52042,a904)))+~E(f844(f34(x52042),x52041),f2(a908))+~P105(f844(f60(x52042),x52041))
% 202.05/201.93 [5209]P105(x52091)+~P105(x52092)+~P105(f844(f844(a329,x52092),x52091))
% 202.05/201.93 [5260]~P72(x52601)+E(f844(f75(x52601),x52602),x52602)+P105(f844(f844(f235(x52601),x52602),f2(x52601)))
% 202.05/201.93 [5320]~P61(x53202)+~P105(f844(f55(x53202),x53201))+P105(f844(x53201,f715(x53201,x53202)))
% 202.05/201.93 [5321]~P61(x53212)+~P105(f844(f55(x53212),x53211))+P105(f844(x53211,f723(x53211,x53212)))
% 202.05/201.93 [5363]E(x53631,f113(x53632))+P105(f844(f137(x53632),f114(x53632,x53631)))+~P105(f844(f137(x53632),x53631))
% 202.05/201.93 [5368]~P108(x53681)+~P105(f844(f60(x53681),x53682))+P105(f844(f137(x53681),f139(x53681,x53682)))
% 202.05/201.93 [5369]~P108(x53691)+~P105(f844(f60(x53691),x53692))+P105(f844(f137(x53691),f714(x53692,x53691)))
% 202.05/201.93 [5374]~P140(x53741)+E(f844(f100(x53741),f844(a104,x53742)),f844(f102(x53741),x53742))+P105(f844(f844(f235(a1),x53742),f2(a1)))
% 202.05/201.93 [5401]P6(x54012,x54011)+E(f844(x54011,f495(x54011)),f844(x54011,f499(x54011)))+P105(f844(f844(x54011,f495(x54011)),f499(x54011)))
% 202.05/201.93 [5414]E(f844(f100(a1),f361(x54141,x54142)),x54141)+P105(f844(x54142,f844(a104,x54141)))+~P105(f844(x54142,f2(a908)))
% 202.05/201.93 [5427]~P61(x54271)+~P105(f844(x54272,f728(x54272,x54271)))+P105(f844(f56(x54271),x54272))
% 202.05/201.93 [5428]~P61(x54281)+~P105(f844(x54282,f738(x54282,x54281)))+P105(f844(f56(x54281),x54282))
% 202.05/201.93 [5463]~P118(x54631)+~E(f81(x54631,x54632),f844(f78(x54631),f77(x54631)))+P105(f844(f844(f235(x54631),x54632),f2(x54631)))
% 202.05/201.93 [5536]~E(x55362,f2(a1))+E(f215(x55361,x55362),f844(f844(f251(a1,a1),f2(a1)),f77(a1)))+P105(f844(f844(f235(a1),x55362),f2(a1)))
% 202.05/201.93 [5537]~E(x55371,f2(a1))+E(f215(x55371,x55372),f844(f844(f251(a1,a1),f2(a1)),f77(a1)))+P105(f844(f844(f235(a1),x55372),f2(a1)))
% 202.05/201.93 [5590]E(f844(f100(a1),f361(x55901,x55902)),x55901)+P105(f844(x55902,f844(a104,x55901)))+P105(f844(f844(f235(a1),x55901),f2(a1)))
% 202.05/201.93 [5657]~P118(x56571)+E(f81(x56571,x56572),f844(f78(x56571),f77(x56571)))+~P105(f844(f844(f235(x56571),x56572),f2(x56571)))
% 202.05/201.93 [5658]~P86(x56581)+E(f844(f75(x56581),x56582),f844(f78(x56581),x56582))+~P105(f844(f844(f234(x56581),x56582),f2(x56581)))
% 202.05/201.93 [5659]~P86(x56591)+E(f844(f75(x56591),x56592),f844(f78(x56591),x56592))+~P105(f844(f844(f235(x56591),x56592),f2(x56591)))
% 202.05/201.93 [5660]~P72(x56601)+E(f844(f75(x56601),x56602),f844(f78(x56601),x56602))+~P105(f844(f844(f235(x56601),x56602),f2(x56601)))
% 202.05/201.93 [5761]~P105(f844(x57611,f361(x57612,x57611)))+P105(f844(x57611,f844(a104,x57612)))+~P105(f844(x57611,f2(a908)))
% 202.05/201.93 [5768]E(x57681,f2(a908))+E(f844(a112,f847(x57682,x57681)),x57681)+~P105(f844(f844(f235(a908),x57681),f844(a112,x57682)))
% 202.05/201.93 [5772]P6(x57721,x57722)+~E(f844(x57722,f495(x57722)),f844(x57722,f499(x57722)))+~P105(f844(f844(x57722,f495(x57722)),f499(x57722)))
% 202.05/201.93 [5790]~P108(x57901)+P12(x57901,x57902)+P105(f844(f844(f234(a908),f697(x57902,x57901)),f698(x57902,x57901)))
% 202.05/201.93 [5791]~P108(x57911)+P12(x57911,x57912)+P105(f844(f844(f234(a908),f705(x57912,x57911)),f709(x57912,x57911)))
% 202.05/201.93 [5877]~P86(x58771)+~E(x58772,f2(x58771))+P105(f844(f844(f234(x58771),f844(f75(x58771),x58772)),f2(x58771)))
% 202.05/201.93 [5974]~P105(f844(x59741,f361(x59742,x59741)))+P105(f844(x59741,f844(a104,x59742)))+P105(f844(f844(f235(a1),x59742),f2(a1)))
% 202.05/201.93 [5999]~P105(f844(x59991,f844(a104,x59992)))+P105(f844(x59991,f2(a908)))+~P105(f844(f844(f235(a1),x59992),f2(a1)))
% 202.05/201.93 [6343]~P118(x63431)+~P105(f844(f844(f235(x63431),x63432),f2(x63431)))+P105(f844(f844(f235(x63431),f81(x63431,x63432)),f2(x63431)))
% 202.05/201.93 [6460]~P118(x64601)+P105(f844(f844(f234(x64601),f844(f102(x64601),x64602)),f2(x64601)))+~P105(f844(f844(f234(a1),x64602),f2(a1)))
% 202.05/201.93 [6461]~P118(x64611)+P105(f844(f844(f235(x64611),f844(f102(x64611),x64612)),f2(x64611)))+~P105(f844(f844(f235(a1),x64612),f2(a1)))
% 202.05/201.93 [6470]~P86(x64702)+E(x64701,f2(x64702))+~P105(f844(f844(f234(x64702),f844(f75(x64702),x64701)),f2(x64702)))
% 202.05/201.93 [6547]~P140(x65471)+~P105(f844(f844(f328(x65471),x65472),f109(x65471)))+P105(f844(f844(f328(x65471),f844(f78(x65471),x65472)),f109(x65471)))
% 202.05/201.93 [6579]~P118(x65791)+~P105(f844(f844(f235(x65791),f81(x65791,x65792)),f2(x65791)))+P105(f844(f844(f235(x65791),x65792),f2(x65791)))
% 202.05/201.93 [6754]~P118(x67542)+~P105(f844(f844(f234(x67542),f844(f102(x67542),x67541)),f2(x67542)))+P105(f844(f844(f234(a1),x67541),f2(a1)))
% 202.05/201.93 [6755]~P118(x67552)+~P105(f844(f844(f235(x67552),f844(f102(x67552),x67551)),f2(x67552)))+P105(f844(f844(f235(a1),x67551),f2(a1)))
% 202.05/201.93 [7262]~P75(x72621)+~P105(f844(f844(f234(x72621),x72622),f2(x72621)))+P105(f844(f844(f234(x72621),f844(f844(f79(x72621),x72622),x72622)),f2(x72621)))
% 202.05/201.93 [7264]~P118(x72641)+~P105(f844(f844(f235(x72641),x72642),f2(x72641)))+P105(f844(f844(f235(x72641),f844(f844(f79(x72641),x72642),x72642)),f2(x72641)))
% 202.05/201.93 [7265]~P75(x72651)+~P105(f844(f844(f235(x72651),x72652),f2(x72651)))+P105(f844(f844(f235(x72651),f844(f844(f79(x72651),x72652),x72652)),f2(x72651)))
% 202.05/201.93 [7830]~P75(x78301)+~P105(f844(f844(f234(x78301),f844(f844(f79(x78301),x78302),x78302)),f2(x78301)))+P105(f844(f844(f234(x78301),x78302),f2(x78301)))
% 202.05/201.93 [7831]~P118(x78311)+~P105(f844(f844(f235(x78311),f844(f844(f79(x78311),x78312),x78312)),f2(x78311)))+P105(f844(f844(f235(x78311),x78312),f2(x78311)))
% 202.05/201.93 [7832]~P75(x78321)+~P105(f844(f844(f235(x78321),f844(f844(f79(x78321),x78322),x78322)),f2(x78321)))+P105(f844(f844(f235(x78321),x78322),f2(x78321)))
% 202.05/201.93 [4848]~E(x48482,f77(a908))+~E(x48481,f77(a908))+E(f844(f844(f80(a908),x48481),x48482),f77(a908))
% 202.05/201.93 [4849]~E(x48492,f77(a1))+~E(x48491,f77(a1))+E(f844(f844(f80(a1),x48491),x48492),f77(a1))
% 202.05/201.93 [4850]~E(x48502,f2(a908))+~E(x48501,f2(a908))+E(f844(f844(f79(a908),x48501),x48502),f2(a908))
% 202.05/201.93 [4905]~P121(x49052)+E(x49051,f2(x49052))+E(f844(f844(f290(x49052),x49051),x49051),f77(x49052))
% 202.05/201.93 [4906]~P59(x49062)+E(x49061,f2(x49062))+E(f844(f844(f35(x49062),x49061),x49061),f77(x49062))
% 202.05/201.93 [4907]~P122(x49072)+E(x49071,f2(x49072))+E(f844(f844(f290(x49072),x49071),x49071),f77(x49072))
% 202.05/201.93 [4927]~P141(x49271)+~E(x49272,f77(x49271))+E(f844(f844(f80(x49271),x49272),x49272),f77(x49271))
% 202.05/201.93 [4928]~P75(x49281)+~E(x49282,f2(x49281))+E(f844(f844(f79(x49281),x49282),x49282),f2(x49281))
% 202.05/201.93 [4929]~P122(x49291)+~E(x49292,f2(x49291))+E(f844(f844(f290(x49291),x49292),x49292),f2(x49291))
% 202.05/201.93 [4974]~E(x49742,f2(a908))+~E(x49741,f2(a908))+E(f844(f78(a1),f844(f100(a1),x49741)),f844(f100(a1),x49742))
% 202.05/201.93 [4993]E(x49931,f77(a908))+E(x49932,f2(a908))+~E(f844(f844(f80(a908),x49932),x49931),x49932)
% 202.05/201.93 [5005]E(x50051,f2(a908))+E(x50052,f2(a908))+~E(f844(f844(f80(a908),x50052),x50051),f2(a908))
% 202.05/201.93 [5032]~E(x50322,f2(a908))+~E(x50321,f844(a112,f2(a908)))+E(f844(f844(f79(a908),x50321),x50322),f844(a112,f2(a908)))
% 202.05/201.93 [5033]~E(x50331,f2(a908))+~E(x50332,f844(a112,f2(a908)))+E(f844(f844(f79(a908),x50331),x50332),f844(a112,f2(a908)))
% 202.05/201.93 [5040]E(x50401,f77(a1))+E(x50402,f844(f103(a1),a97))+~E(f844(f844(f80(a1),x50401),x50402),f77(a1))
% 202.05/201.93 [5041]E(x50411,f77(a1))+E(x50412,f844(f103(a1),a97))+~E(f844(f844(f80(a1),x50412),x50411),f77(a1))
% 202.05/201.93 [5042]E(x50421,f77(a1))+E(x50421,f844(f103(a1),a97))+~E(f844(f844(f80(a1),x50422),x50421),f77(a1))
% 202.05/201.93 [5044]E(x50441,f77(a1))+E(x50441,f844(f103(a1),a97))+~E(f844(f844(f80(a1),x50441),x50442),f77(a1))
% 202.05/201.93 [5069]~P75(x50692)+E(x50691,f2(x50692))+~E(f844(f844(f79(x50692),x50691),x50691),f2(x50692))
% 202.05/201.93 [5075]~E(x50751,f844(f103(a1),a97))+~E(x50752,f844(f103(a1),a97))+E(f844(f844(f80(a1),x50751),x50752),f77(a1))
% 202.05/201.93 [5086]E(x50861,f2(a908))+E(x50862,f2(a908))+~E(f844(f844(f79(a908),x50862),x50861),f844(a112,f2(a908)))
% 202.05/201.93 [5096]~P62(x50961)+~P94(x50961)+E(f844(f844(f290(x50961),x50962),f844(f103(x50961),a82)),f2(x50961))
% 202.05/201.93 [5103]~P141(x51031)+~E(x51032,f844(f78(x51031),f77(x51031)))+E(f844(f844(f80(x51031),x51032),x51032),f77(x51031))
% 202.05/201.93 [5108]~P5(x51082)+~P5(x51081)+P5(f844(f844(f80(a1),x51081),x51082))
% 202.05/201.93 [5109]~P5(x51092)+~P5(x51091)+P5(f844(f844(f79(a1),x51091),x51092))
% 202.05/201.93 [5110]~P5(x51102)+~P5(x51101)+P5(f844(f844(f35(a1),x51101),x51102))
% 202.05/201.93 [5112]~E(x51122,f2(a1))+E(x51121,f2(a1))+E(f45(x51121,x51122),f844(f844(f251(a1,a1),f2(a1)),x51121))
% 202.05/201.93 [5135]~E(x51352,f844(a112,f2(a908)))+~E(x51351,f844(a112,f2(a908)))+E(f844(f844(f80(a908),x51351),x51352),f844(a112,f2(a908)))
% 202.05/201.93 [5152]E(x51521,f2(a908))+E(x51522,f844(a112,f2(a908)))+~E(f844(f844(f243(a908),x51522),x51521),f844(a112,f2(a908)))
% 202.05/201.93 [5153]E(x51531,f2(a908))+E(x51531,f844(a112,f2(a908)))+~E(f844(f844(f79(a908),x51532),x51531),f844(a112,f2(a908)))
% 202.05/201.93 [5154]E(x51541,f2(a908))+E(x51541,f844(a112,f2(a908)))+~E(f844(f844(f79(a908),x51541),x51542),f844(a112,f2(a908)))
% 202.05/201.93 [5163]~P62(x51631)+~P94(x51631)+E(f844(f844(f290(x51631),x51632),f844(f103(x51631),a97)),f844(f78(x51631),x51632))
% 202.05/201.93 [5183]E(x51831,f844(a104,x51832))+~E(x51831,f2(a908))+P105(f844(f844(f234(a1),f2(a1)),x51832))
% 202.05/201.93 [5184]E(f844(a104,x51841),x51842)+~E(x51842,f2(a908))+P105(f844(f844(f234(a1),f2(a1)),x51841))
% 202.05/201.93 [5200]E(x52001,f844(a112,f2(a908)))+E(x52002,f844(a112,f2(a908)))+~E(f844(f844(f79(a908),x52001),x52002),f844(a112,f2(a908)))
% 202.05/201.93 [5211]~E(x52111,f844(a104,x52112))+E(x52111,f2(a908))+P105(f844(f844(f234(a1),f2(a1)),x52112))
% 202.05/201.93 [5212]~E(f844(a104,x52122),x52121)+E(x52121,f2(a908))+P105(f844(f844(f234(a1),f2(a1)),x52122))
% 202.05/201.93 [5235]~P77(x52351)+E(f844(f62(x52351,f110(x52351)),x52352),f12(x52351,x52352))+~P105(f844(f60(x52351),x52352))
% 202.05/201.93 [5236]~P77(x52361)+E(f844(f62(x52361,f101(x52361)),x52362),f13(x52361,x52362))+~P105(f844(f60(x52361),x52362))
% 202.05/201.93 [5237]~P108(x52371)+E(f844(f62(x52371,f232(x52371)),x52372),f16(x52371,x52372))+~P105(f844(f60(x52371),x52372))
% 202.05/201.93 [5238]~P108(x52381)+E(f844(f62(x52381,f233(x52381)),x52382),f17(x52381,x52382))+~P105(f844(f60(x52381),x52382))
% 202.05/201.93 [5315]E(x53151,x53152)+~E(f844(f844(f3(a908),x53152),x53151),f2(a908))+~E(f844(f844(f3(a908),x53151),x53152),f2(a908))
% 202.05/201.93 [5333]P5(x53331)+~P39(x53332)+~P105(f844(f844(f328(a1),x53331),x53332))
% 202.05/201.93 [5364]~P118(x53641)+~E(f81(x53641,x53642),f77(x53641))+P105(f844(f844(f235(x53641),f2(x53641)),x53642))
% 202.05/201.93 [5375]~P94(x53751)+E(f844(f100(x53751),f844(f103(a908),x53752)),f844(f103(x53751),x53752))+P105(f844(a193,f844(f103(a1),x53752)))
% 202.05/201.93 [5380]~P43(x53801,x53802)+P44(a904)+P105(f844(f60(f915(x53801,x53801)),x53802))
% 202.05/201.93 [5455]~P108(x54551)+E(f844(f62(x54551,f232(x54551)),x54552),f14(x54551,f232(x54551),x54552))+~P105(f844(f60(x54551),x54552))
% 202.05/201.93 [5456]~P108(x54561)+E(f844(f62(x54561,f233(x54561)),x54562),f15(x54561,f233(x54561),x54562))+~P105(f844(f60(x54561),x54562))
% 202.05/201.93 [5470]E(x54701,x54702)+P105(f844(f844(f235(a908),x54702),x54701))+P105(f844(f844(f235(a908),x54701),x54702))
% 202.05/201.93 [5471]E(x54711,x54712)+P105(f844(f844(f235(a1),x54712),x54711))+P105(f844(f844(f235(a1),x54711),x54712))
% 202.05/201.93 [5523]~P94(x55231)+E(f844(f100(x55231),f844(f103(a908),x55232)),f2(x55231))+~P105(f844(a193,f844(f103(a1),x55232)))
% 202.05/201.93 [5526]~E(x55262,f844(a104,x55261))+E(x55261,f844(f100(a1),x55262))+~P105(f844(f844(f234(a1),f2(a1)),x55261))
% 202.05/201.93 [5527]~E(f844(a104,x55271),x55272)+E(x55271,f844(f100(a1),x55272))+~P105(f844(f844(f234(a1),f2(a1)),x55271))
% 202.05/201.93 [5528]~E(x55281,f844(a104,x55282))+E(f844(f100(a1),x55281),x55282)+~P105(f844(f844(f234(a1),f2(a1)),x55282))
% 202.05/201.93 [5538]E(x55381,f844(a104,x55382))+~E(x55382,f844(f100(a1),x55381))+~P105(f844(f844(f234(a1),f2(a1)),x55382))
% 202.05/201.93 [5539]E(f844(a104,x55391),x55392)+~E(x55391,f844(f100(a1),x55392))+~P105(f844(f844(f234(a1),f2(a1)),x55391))
% 202.05/201.93 [5570]~P112(x55702)+E(x55701,f2(x55702))+~P105(f844(f844(f286(x55702),f2(x55702)),x55701))
% 202.05/201.93 [5581]~P86(x55812)+E(x55811,f2(x55812))+P105(f844(f844(f235(x55812),f2(x55812)),f844(f75(x55812),x55811)))
% 202.05/201.93 [5646]~P118(x56461)+E(f81(x56461,x56462),f77(x56461))+~P105(f844(f844(f235(x56461),f2(x56461)),x56462))
% 202.05/201.93 [5650]~P94(x56501)+E(f844(f100(x56501),f844(f103(a908),x56502)),f2(x56501))+P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x56502)))
% 202.05/201.93 [5661]~P86(x56611)+E(f844(f75(x56611),x56612),x56612)+~P105(f844(f844(f234(x56611),f2(x56611)),x56612))
% 202.05/201.93 [5662]~P86(x56621)+E(f844(f75(x56621),x56622),x56622)+~P105(f844(f844(f235(x56621),f2(x56621)),x56622))
% 202.05/201.93 [5671]E(x56711,f2(a908))+~E(f139(a908,f844(f301(a908,x56712),x56711)),f113(a908))+P105(f844(f844(f234(a908),x56711),x56712))
% 202.05/201.93 [5682]~P69(x56821)+E(f844(f844(f8(x56821,x56821),f7(x56821)),f844(f172(x56821),x56822)),f844(f165(x56821),x56822))+~P105(f844(f137(x56821),x56822))
% 202.05/201.93 [5685]~P140(x56851)+E(f844(f100(x56851),f844(a104,x56852)),f844(f102(x56851),x56852))+~P105(f844(f844(f234(a1),f2(a1)),x56852))
% 202.05/201.93 [5712]E(x57121,x57122)+P105(f844(f844(f235(a908),x57121),x57122))+~P105(f844(f844(f234(a908),x57121),x57122))
% 202.05/201.93 [5713]E(x57131,x57132)+P105(f844(f844(f235(a1),x57131),x57132))+~P105(f844(f844(f234(a1),x57131),x57132))
% 202.05/201.93 [5716]E(x57161,f77(a1))+~E(f844(f844(f80(a1),x57162),x57161),f77(a1))+~P105(f844(f844(f235(a1),f2(a1)),x57162))
% 202.05/201.93 [5717]E(x57171,f77(a1))+~E(f844(f844(f80(a1),x57171),x57172),f77(a1))+~P105(f844(f844(f235(a1),f2(a1)),x57171))
% 202.05/201.93 [5758]~P39(x57582)+P105(f844(f844(f234(a1),f2(a1)),x57581))+~P105(f844(f844(f328(a1),x57581),x57582))
% 202.05/201.93 [5777]~P56(x57771,x57772)+P36(x57771,x57772)+~P105(f844(f60(f915(x57771,x57771)),x57772))
% 202.05/201.93 [5779]~P56(x57791,x57792)+P43(x57791,x57792)+~P105(f844(f60(f915(x57791,x57791)),x57792))
% 202.05/201.93 [5821]E(x58211,f188(f916(x58212,a904)))+~P105(f844(f60(x58212),x58211))+P105(f844(f844(f235(a908),f2(a908)),f844(f34(x58212),x58211)))
% 202.05/201.93 [5848]~P105(f844(x58481,x58482))+P105(f844(x58481,f2(a908)))+P105(f844(f844(f235(a908),f878(x58482,x58481)),x58482))
% 202.05/201.93 [5871]E(x58711,f2(a908))+~E(f844(f165(a908),x58712),f2(a908))+~P105(f844(f844(f328(a908),x58711),f844(f172(a908),x58712)))
% 202.05/201.93 [5939]E(x59391,x59392)+~P105(f844(f844(f234(a908),x59392),x59391))+~P105(f844(f844(f234(a908),x59391),x59392))
% 202.05/201.93 [5940]E(x59401,x59402)+~P105(f844(f844(f234(a1),x59402),x59401))+~P105(f844(f844(f234(a1),x59401),x59402))
% 202.05/201.93 [5949]E(x59491,x59492)+~P105(f844(f844(f286(a908),x59492),x59491))+~P105(f844(f844(f286(a908),x59491),x59492))
% 202.05/201.93 [5951]E(f844(f34(x59511),x59512),f2(a908))+~P105(f844(f60(x59511),x59512))+P105(f844(f844(f328(x59511),f879(x59512,x59511)),x59512))
% 202.05/201.93 [5960]E(f49(x59601,x59602),f45(x59601,x59602))+P105(f844(f844(f234(a1),f2(a1)),x59601))+~P105(f844(f844(f235(a1),f2(a1)),x59602))
% 202.05/201.93 [5986]~P105(f844(x59861,f358(x59861)))+P105(f844(x59861,f844(a104,x59862)))+~P105(f844(f844(f234(a1),f2(a1)),x59862))
% 202.05/201.93 [5989]P105(f844(f844(f234(a908),x59891),f398(x59892)))+~P105(f844(f60(a908),x59892))+~P105(f844(f844(f328(a908),x59891),x59892))
% 202.05/201.93 [5990]P105(f844(f844(f235(a908),x59901),f372(x59902)))+~P105(f844(f60(a908),x59902))+~P105(f844(f844(f328(a908),x59901),x59902))
% 202.05/201.93 [6021]E(x60211,x60212)+~P105(f844(f844(f235(a908),x60211),f844(a112,x60212)))+P105(f844(f844(f235(a908),x60211),x60212))
% 202.05/201.93 [6053]E(x60531,f844(a112,x60532))+~P105(f844(f844(f234(a908),x60531),f844(a112,x60532)))+P105(f844(f844(f234(a908),x60531),x60532))
% 202.05/201.93 [6069]P105(f844(x60691,f362(x60691)))+~P105(f844(x60691,f844(a104,x60692)))+~P105(f844(f844(f234(a1),f2(a1)),x60692))
% 202.05/201.93 [6084]~P105(f844(x60841,x60842))+~P105(f844(f844(f234(a1),f2(a1)),x60842))+P105(f844(x60841,f844(f100(a1),f887(x60841))))
% 202.05/201.93 [6095]~P86(x60952)+~E(x60951,f2(x60952))+~P105(f844(f844(f235(x60952),f2(x60952)),f844(f75(x60952),x60951)))
% 202.05/201.93 [6120]~P56(x61201,x61202)+P36(x61201,f844(f285(x61201,x61201),x61202))+~P105(f844(f60(f915(x61201,x61201)),x61202))
% 202.05/201.93 [6129]~P94(x61291)+E(f844(f100(x61291),f844(f103(a908),x61292)),f844(f103(x61291),x61292))+~P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x61292)))
% 202.05/201.93 [6132]E(f844(a112,x61321),x61322)+~P105(f844(f844(f235(a908),x61321),x61322))+P105(f844(f844(f235(a908),f844(a112,x61321)),x61322))
% 202.05/201.93 [6148]E(f844(f844(f35(a1),x61481),x61482),f2(a1))+~P105(f844(f844(f234(a1),x61481),f2(a1)))+~P105(f844(f844(f235(a1),x61482),x61481))
% 202.05/201.93 [6159]E(f44(a1,x61591,x61592),x61591)+~P105(f844(f844(f234(a1),x61591),f2(a1)))+~P105(f844(f844(f235(a1),x61592),x61591))
% 202.05/201.93 [6173]E(f46(x61731,x61732),f45(x61731,x61732))+~P105(f844(f844(f234(a1),f2(a1)),x61731))+~P105(f844(f844(f234(a1),f2(a1)),x61732))
% 202.05/201.93 [6183]E(f844(f844(f35(a1),x61831),x61832),f2(a1))+~P105(f844(f844(f234(a1),f2(a1)),x61831))+~P105(f844(f844(f235(a1),x61831),x61832))
% 202.05/201.93 [6194]E(f44(a908,f844(f103(a908),x61941),f844(f103(a908),x61942)),f844(f103(a908),x61941))+P105(f844(a193,f844(f103(a1),x61941)))+~P105(f844(a193,f844(f103(a1),x61942)))
% 202.05/201.93 [6196]E(f44(a1,x61961,x61962),x61961)+~P105(f844(f844(f234(a1),f2(a1)),x61961))+~P105(f844(f844(f235(a1),x61961),x61962))
% 202.05/201.93 [6197]E(x61971,x61972)+~P105(f844(f844(f235(a908),x61971),f844(a112,x61972)))+~P105(f844(f844(f234(a908),x61972),x61971))
% 202.05/201.93 [6211]~P75(x62111)+~P105(f844(f844(f234(x62111),x62112),f2(x62111)))+P105(f844(f844(f234(x62111),x62112),f844(f78(x62111),x62112)))
% 202.05/201.93 [6212]~P118(x62121)+~P105(f844(f844(f235(x62121),x62122),f2(x62121)))+P105(f844(f844(f235(x62121),x62122),f844(f78(x62121),x62122)))
% 202.05/201.93 [6221]~P4(x62211)+E(f844(f844(f63(x62211,x62211,f110(x62211)),f188(x62211)),x62212),f36(x62211,x62212))+~P105(f844(f60(x62211),x62212))
% 202.05/201.93 [6222]~P4(x62221)+E(f844(f844(f63(x62221,x62221,f101(x62221)),f241(x62221)),x62222),f37(x62221,x62222))+~P105(f844(f60(x62221),x62222))
% 202.05/201.93 [6239]~P118(x62391)+~P105(f844(f844(f234(a1),f2(a1)),x62392))+P105(f844(f844(f234(x62391),f2(x62391)),f844(f102(x62391),x62392)))
% 202.05/201.93 [6240]~P124(x62401)+~P105(f844(f844(f235(a908),f2(a908)),x62402))+P105(f844(f844(f235(x62401),f2(x62401)),f844(f100(x62401),x62402)))
% 202.05/201.93 [6241]~P118(x62411)+~P105(f844(f844(f235(a1),f2(a1)),x62412))+P105(f844(f844(f235(x62411),f2(x62411)),f844(f102(x62411),x62412)))
% 202.05/201.93 [6244]~P5(x62442)+~P5(x62441)+E(f844(f309(a908,a1,f100(a1)),f302(a908,f844(a104,x62441),f844(a104,x62442))),f302(a1,x62441,x62442))
% 202.05/201.93 [6250]P105(f844(x62501,x62502))+~P105(f844(f844(f234(a1),f2(a1)),x62502))+~P105(f844(x62501,f844(f100(a1),f902(x62501))))
% 202.05/201.93 [6282]E(f844(f844(f79(a908),f844(f103(a908),x62821)),f844(f103(a908),x62822)),f844(f103(a908),x62821))+P105(f844(f844(f235(a1),x62821),a82))+~P105(f844(f844(f235(a1),x62822),a82))
% 202.05/201.93 [6286]~P118(x62861)+P105(f844(f844(f235(x62861),f2(x62861)),f81(x62861,x62862)))+~P105(f844(f844(f235(x62861),f2(x62861)),x62862))
% 202.05/201.93 [6299]~P79(x62991)+~P105(f844(f844(f234(x62991),x62992),f2(x62991)))+P105(f844(f844(f234(x62991),f2(x62991)),f844(f78(x62991),x62992)))
% 202.05/201.93 [6300]~P79(x63001)+~P105(f844(f844(f235(x63001),x63002),f2(x63001)))+P105(f844(f844(f235(x63001),f2(x63001)),f844(f78(x63001),x63002)))
% 202.05/201.93 [6303]E(x63031,f241(f916(x63032,a904)))+~E(f844(f34(x63032),x63031),f844(f34(x63032),f241(f916(x63032,a904))))+~P105(f844(f60(x63032),f241(f916(x63032,a904))))
% 202.05/201.93 [6335]~P75(x63351)+P105(f844(f844(f234(x63351),x63352),f2(x63351)))+~P105(f844(f844(f234(x63351),x63352),f844(f78(x63351),x63352)))
% 202.05/201.93 [6336]~P118(x63361)+P105(f844(f844(f235(x63361),x63362),f2(x63361)))+~P105(f844(f844(f235(x63361),x63362),f844(f78(x63361),x63362)))
% 202.05/201.93 [6345]~P94(x63451)+P105(f844(f844(f328(x63451),f844(f103(x63451),x63452)),f186(x63451)))+~P105(f844(f844(f234(a1),a82),x63452))
% 202.05/201.93 [6374]E(x63741,f2(a908))+~P105(f844(f844(f235(a908),x63741),f844(a112,x63742)))+P105(f844(f844(f235(a908),f847(x63742,x63741)),x63742))
% 202.05/201.93 [6398]~P118(x63981)+~P105(f844(f844(f235(x63981),f2(x63981)),f81(x63981,x63982)))+P105(f844(f844(f235(x63981),f2(x63981)),x63982))
% 202.05/201.93 [6400]~E(f844(f103(a908),x64002),f844(f103(a908),x64001))+P105(f844(f844(f234(a1),f844(f103(a1),x64001)),f2(a1)))+~P105(f844(a193,f844(f103(a1),x64002)))
% 202.05/201.93 [6429]E(f844(f250(a1,a1),f49(x64291,x64292)),f844(f844(f35(a1),x64291),x64292))+~P105(f844(f844(f235(a1),x64291),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x64292))
% 202.05/201.93 [6468]E(f844(f255(a1,a1),f49(x64681,x64682)),f44(a1,x64681,x64682))+~P105(f844(f844(f235(a1),x64681),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x64682))
% 202.05/201.93 [6471]~P118(x64712)+~P105(f844(f844(f234(x64712),f2(x64712)),f844(f102(x64712),x64711)))+P105(f844(f844(f234(a1),f2(a1)),x64711))
% 202.05/201.93 [6472]~P124(x64722)+~P105(f844(f844(f235(x64722),f2(x64722)),f844(f100(x64722),x64721)))+P105(f844(f844(f235(a908),f2(a908)),x64721))
% 202.05/201.93 [6473]~P118(x64732)+~P105(f844(f844(f235(x64732),f2(x64732)),f844(f102(x64732),x64731)))+P105(f844(f844(f235(a1),f2(a1)),x64731))
% 202.05/201.93 [6477]E(f844(f250(a1,a1),f46(x64771,x64772)),f844(f844(f35(a1),x64771),x64772))+~P105(f844(f844(f234(a1),f2(a1)),x64772))+~P105(f844(f844(f235(a1),f2(a1)),x64771))
% 202.05/201.93 [6491]E(f844(f255(a1,a1),f46(x64911,x64912)),f44(a1,x64911,x64912))+~P105(f844(f844(f234(a1),f2(a1)),x64912))+~P105(f844(f844(f235(a1),f2(a1)),x64911))
% 202.05/201.93 [6507]~P79(x65071)+P105(f844(f844(f234(x65071),x65072),f2(x65071)))+~P105(f844(f844(f234(x65071),f2(x65071)),f844(f78(x65071),x65072)))
% 202.05/201.93 [6508]~P79(x65081)+P105(f844(f844(f235(x65081),x65082),f2(x65081)))+~P105(f844(f844(f235(x65081),f2(x65081)),f844(f78(x65081),x65082)))
% 202.05/201.93 [6534]P105(f844(f48(x65341,x65342),f49(x65341,x65342)))+~P105(f844(f844(f235(a1),x65341),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x65342))
% 202.05/201.93 [6546]~P105(f844(f844(f235(a908),f2(a908)),x65461))+~P105(f844(f844(f286(a908),x65462),x65461))+~P105(f844(f844(f235(a908),x65461),x65462))
% 202.05/201.93 [6559]P105(f844(f48(x65591,x65592),f46(x65591,x65592)))+~P105(f844(f844(f234(a1),f2(a1)),x65591))+~P105(f844(f844(f235(a1),f2(a1)),x65592))
% 202.05/201.93 [6602]~P79(x66021)+P105(f844(f844(f234(x66021),f844(f78(x66021),x66022)),f2(x66021)))+~P105(f844(f844(f234(x66021),f2(x66021)),x66022))
% 202.05/201.93 [6603]~P79(x66031)+P105(f844(f844(f235(x66031),f844(f78(x66031),x66032)),f2(x66031)))+~P105(f844(f844(f235(x66031),f2(x66031)),x66032))
% 202.05/201.93 [6621]E(f844(f844(f3(a908),f844(a104,x66211)),f844(a104,x66212)),f844(a104,f194(x66211,x66212)))+~P105(f844(f844(f234(a1),f2(a1)),x66212))+~P105(f844(f844(f234(a1),f2(a1)),x66211))
% 202.05/201.93 [6639]P105(f844(f844(f234(a1),f2(a1)),f194(x66391,x66392)))+~P105(f844(f844(f234(a1),f2(a1)),x66392))+~P105(f844(f844(f234(a1),f2(a1)),x66391))
% 202.05/201.93 [6676]~P105(f844(x66761,x66762))+P105(f844(x66761,f2(a908)))+P105(f844(x66761,f844(f844(f79(a908),f878(x66762,x66761)),f77(a908))))
% 202.05/201.93 [6761]E(f844(f103(a908),x67611),f844(f103(a908),x67612))+~P105(f844(f844(f234(a1),f844(f103(a1),x67612)),f2(a1)))+~P105(f844(a193,f844(f103(a1),x67611)))
% 202.05/201.93 [6776]~E(x67761,f2(a908))+~E(f663(x67762,x67761),f2(a908))+E(f844(f142(a908,a908,f79(a908),x67761),x67762),f2(a908))
% 202.05/201.93 [6800]~P105(f844(f60(x68001),f699(x68002,x68001)))+~P105(f844(f60(f916(x68001,a904)),x68002))+P105(f844(f60(x68001),f36(f916(x68001,a904),x68002)))
% 202.05/201.93 [6806]E(x68061,x68062)+P105(f844(f844(f235(a1),x68061),x68062))+~P105(f844(f844(f235(a1),x68061),f844(f844(f79(a1),x68062),f77(a1))))
% 202.05/201.93 [6807]P105(f844(f844(f234(a908),f844(a104,x68071)),f844(a104,x68072)))+~P105(f844(f844(f234(a1),f2(a1)),x68072))+~P105(f844(f844(f234(a1),x68071),x68072))
% 202.05/201.93 [6808]P105(f844(f844(f234(a908),f844(a104,x68081)),f844(a104,x68082)))+~P105(f844(f844(f235(a1),f2(a1)),x68081))+~P105(f844(f844(f234(a1),x68081),x68082))
% 202.05/201.93 [6810]P105(f844(f844(f235(a908),f844(a104,x68101)),f844(a104,x68102)))+~P105(f844(f844(f234(a1),f2(a1)),x68101))+~P105(f844(f844(f235(a1),x68101),x68102))
% 202.05/201.93 [6811]P105(f844(f844(f235(a908),f844(a104,x68111)),f844(a104,x68112)))+~P105(f844(f844(f235(a1),f2(a1)),x68112))+~P105(f844(f844(f235(a1),x68111),x68112))
% 202.05/201.93 [6822]E(f44(a908,f844(a104,x68221),f844(a104,x68222)),f844(a104,f44(a1,x68221,x68222)))+~P105(f844(f844(f234(a1),f2(a1)),x68222))+~P105(f844(f844(f234(a1),f2(a1)),x68221))
% 202.05/201.93 [6846]~P79(x68461)+~P105(f844(f844(f234(x68461),f844(f78(x68461),x68462)),f2(x68461)))+P105(f844(f844(f234(x68461),f2(x68461)),x68462))
% 202.05/201.93 [6847]~P79(x68471)+~P105(f844(f844(f235(x68471),f844(f78(x68471),x68472)),f2(x68471)))+P105(f844(f844(f235(x68471),f2(x68471)),x68472))
% 202.05/201.93 [6862]~P105(f844(f844(f235(a1),a82),x68622))+~P105(f844(f844(f235(a1),x68621),x68622))+P105(f844(f844(f235(a908),f844(f103(a908),x68621)),f844(f103(a908),x68622)))
% 202.05/201.93 [6953]~P105(f844(f844(f234(a1),f2(a1)),x69531))+P105(f844(f844(f235(a908),f844(a104,x69531)),x69532))+~P105(f844(f844(f235(a1),x69531),f844(f100(a1),x69532)))
% 202.05/201.93 [6958]P105(f844(x69581,x69582))+~P105(f844(x69581,f844(a22,f798(x69581,x69582))))+~P105(f844(f844(f328(a908),x69582),f241(f916(a908,a904))))
% 202.05/201.93 [6969]E(x69691,f2(a1))+E(f44(a1,x69692,x69691),f2(a1))+E(f844(f844(f3(a1),f844(f78(a1),f844(f844(f35(a1),x69692),x69691))),f77(a1)),f844(f844(f35(a1),x69692),f844(f78(a1),x69691)))
% 202.05/201.93 [6983]~P105(f844(f844(f234(a1),f2(a1)),x69831))+~P105(f844(f844(f235(a908),f844(a104,x69831)),x69832))+P105(f844(f844(f235(a1),x69831),f844(f100(a1),x69832)))
% 202.05/201.93 [7017]~P105(f844(f844(f234(a908),f844(a104,x70171)),f844(a104,x70172)))+~P105(f844(f844(f234(a1),f2(a1)),x70172))+P105(f844(f844(f234(a1),x70171),x70172))
% 202.05/201.93 [7018]~P105(f844(f844(f234(a908),f844(a104,x70181)),f844(a104,x70182)))+~P105(f844(f844(f235(a1),f2(a1)),x70181))+P105(f844(f844(f234(a1),x70181),x70182))
% 202.05/201.93 [7047]P105(f844(f844(f234(a1),x70471),x70472))+~P105(f844(f844(f234(a908),f844(f103(a908),x70471)),f844(f103(a908),x70472)))+P105(f844(f844(f234(a1),x70471),a82))
% 202.05/201.93 [7072]P105(f844(f844(f234(a1),f2(a1)),f44(a1,x70721,x70722)))+~P105(f844(f844(f234(a1),f2(a1)),x70722))+~P105(f844(f844(f234(a1),f2(a1)),x70721))
% 202.05/201.93 [7172]P105(f844(f844(f235(a1),a82),x71721))+~P105(f844(f844(f235(a1),x71722),x71721))+~P105(f844(f844(f235(a908),f844(f103(a908),x71722)),f844(f103(a908),x71721)))
% 202.05/201.93 [7225]E(f844(f844(f251(a1,a1),f844(f844(f35(a1),x72251),x72252)),f44(a1,x72251,x72252)),f49(x72251,x72252))+~P105(f844(f844(f235(a1),x72251),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x72252))
% 202.05/201.93 [7245]E(f844(f844(f251(a1,a1),f844(f844(f35(a1),x72451),x72452)),f44(a1,x72451,x72452)),f46(x72451,x72452))+~P105(f844(f844(f234(a1),f2(a1)),x72452))+~P105(f844(f844(f234(a1),f2(a1)),x72451))
% 202.05/201.93 [7297]~P96(x72972)+E(x72971,f113(x72972))+E(f844(f142(x72972,x72972,f80(x72972),f844(f141(x72972),x72971)),f844(f171(x72972),x72971)),f844(f62(x72972,f80(x72972)),f844(f172(x72972),x72971)))
% 202.05/201.93 [7413]~E(x74131,f2(a908))+E(f844(f142(a908,a908,f79(a908),x74131),x74132),f2(a908))+P105(f844(f844(f328(a908),f663(x74132,x74131)),f844(f172(a908),x74132)))
% 202.05/201.93 [7468]~P105(f844(f844(f234(a1),x74681),f2(a1)))+P105(f844(f844(f234(a1),f844(f844(f35(a1),x74681),x74682)),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x74682))
% 202.05/201.93 [7469]~P105(f844(f844(f235(a1),x74692),f2(a1)))+P105(f844(f844(f234(a1),f844(f844(f35(a1),x74691),x74692)),f2(a1)))+~P105(f844(f844(f234(a1),f2(a1)),x74691))
% 202.05/201.93 [7470]~P105(f844(f844(f235(a1),x74702),f2(a1)))+P105(f844(f844(f235(a1),f844(f844(f35(a1),x74701),x74702)),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x74701))
% 202.05/201.93 [7472]~P105(f844(f844(f235(a1),x74721),f2(a1)))+P105(f844(f844(f235(a1),f844(f844(f35(a1),x74721),x74722)),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x74722))
% 202.05/201.93 [7478]P105(f844(f844(f328(f916(x74781,a904)),f699(x74782,x74781)),x74782))+~P105(f844(f60(f916(x74781,a904)),x74782))+P105(f844(f60(x74781),f36(f916(x74781,a904),x74782)))
% 202.05/201.93 [7568]P24(x75681,x75681,x75682,f241(f916(x75681,a904)))+~E(f844(f309(x75681,x75681,x75682),f241(f916(x75681,a904))),f241(f916(x75681,a904)))+~P105(f844(f60(x75681),f241(f916(x75681,a904))))
% 202.05/201.93 [7687]~P24(x76871,x76871,x76872,f241(f916(x76871,a904)))+E(f844(f309(x76871,x76871,x76872),f241(f916(x76871,a904))),f241(f916(x76871,a904)))+~P105(f844(f60(x76871),f241(f916(x76871,a904))))
% 202.05/201.93 [7824]E(f844(f844(f35(a1),x78241),x78242),f844(f103(a1),a97))+~P105(f844(f844(f234(a1),f844(f844(f79(a1),x78241),x78242)),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x78241))
% 202.05/201.93 [7880]~P105(f844(f844(f235(a1),x78802),f2(a1)))+~P105(f844(f844(f235(a1),f844(f844(f35(a1),x78801),x78802)),f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x78801))
% 202.05/201.93 [7885]E(f844(f844(f79(a1),x78851),x78852),f44(a1,x78851,x78852))+~P105(f844(f844(f234(a1),f844(f844(f79(a1),x78851),x78852)),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x78851))
% 202.05/201.93 [7888]P105(f844(f844(f235(a1),x78881),f2(a1)))+~P105(f844(f844(f235(a1),f844(f844(f35(a1),x78881),x78882)),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x78882))
% 202.05/201.93 [8572]~P108(x85721)+P12(x85721,x85722)+~P105(f844(f844(f234(x85721),f844(f844(f164(x85721),x85722),f697(x85722,x85721))),f844(f844(f164(x85721),x85722),f698(x85722,x85721))))
% 202.05/201.93 [8573]~P108(x85731)+P12(x85731,x85732)+~P105(f844(f844(f234(x85731),f844(f844(f164(x85731),x85732),f705(x85732,x85731))),f844(f844(f164(x85731),x85732),f709(x85732,x85731))))
% 202.05/201.93 [5814]E(x58141,f2(a1))+~E(f44(a1,x58142,x58141),f2(a1))+E(f844(f844(f35(a1),x58142),f844(f78(a1),x58141)),f844(f78(a1),f844(f844(f35(a1),x58142),x58141)))
% 202.05/201.93 [5832]~P39(x58322)+~P39(x58321)+P39(f844(f844(f110(f916(a1,a904)),x58321),x58322))
% 202.05/201.93 [5833]~P39(x58332)+~P39(x58331)+P39(f844(f844(f101(f916(a1,a904)),x58331),x58332))
% 202.05/201.93 [5851]~P62(x58511)+~P94(x58511)+E(f844(f78(x58511),f844(f844(f290(x58511),f77(x58511)),x58512)),f844(f844(f290(x58511),f844(f103(x58511),a97)),x58512))
% 202.05/201.93 [5978]E(x59781,f2(a1))+~E(f44(a1,x59782,x59781),f2(a1))+E(f844(f844(f35(a1),f844(f78(a1),x59782)),x59781),f844(f78(a1),f844(f844(f35(a1),x59782),x59781)))
% 202.05/201.93 [6114]~P108(x61141)+P12(x61141,x61142)+P105(f844(f844(f235(a908),f698(x61142,x61141)),f844(f189(f909(x61141)),x61142)))
% 202.05/201.93 [6115]~P108(x61151)+P12(x61151,x61152)+P105(f844(f844(f235(a908),f709(x61152,x61151)),f844(f189(f909(x61151)),x61152)))
% 202.05/201.93 [6276]~P94(x62761)+~E(f844(f103(x62761),x62762),f2(x62761))+P27(x62761,f844(f103(x62761),f844(f844(f79(a1),x62762),f844(f78(a1),a82))))
% 202.05/201.93 [6277]~P94(x62771)+~E(f844(f103(x62771),x62772),f2(x62771))+P27(x62771,f844(f103(x62771),f844(f844(f79(a1),a82),f844(f78(a1),x62772))))
% 202.05/201.93 [6279]E(f844(a50,f46(f844(f78(a1),x62791),f844(f78(a1),x62792))),f45(x62791,x62792))+P105(f844(f844(f234(a1),f2(a1)),x62791))+P105(f844(f844(f235(a1),f2(a1)),x62792))
% 202.05/201.93 [6406]~E(x64062,f2(a908))+~E(x64061,f2(a908))+P105(f844(f844(f234(a1),f844(f100(a1),x64061)),f844(f78(a1),f844(f100(a1),x64062))))
% 202.05/201.93 [6435]E(f844(f844(f79(a908),f844(f103(a908),x64351)),f844(f103(a908),x64352)),f844(f103(a908),f844(f844(f79(a1),x64351),x64352)))+P105(f844(f844(f235(a1),x64351),a82))+P105(f844(f844(f235(a1),x64352),a82))
% 202.05/201.93 [6568]~P75(x65681)+~P105(f844(f844(f234(x65681),f2(x65681)),x65682))+P105(f844(f844(f234(x65681),f844(f78(x65681),x65682)),x65682))
% 202.05/201.93 [6569]~P75(x65691)+~P105(f844(f844(f235(x65691),f2(x65691)),x65692))+P105(f844(f844(f235(x65691),f844(f78(x65691),x65692)),x65692))
% 202.05/201.93 [6747]E(f844(f844(f3(a908),f844(a104,x67471)),f844(a104,x67472)),f844(a104,f844(f844(f3(a1),x67471),x67472)))+~P105(f844(f844(f234(a1),f2(a1)),x67472))+~P105(f844(f844(f234(a1),x67472),x67471))
% 202.05/201.93 [6784]E(f844(a104,f44(a1,f844(f103(a1),x67841),f844(f103(a1),x67842))),f44(a908,f844(f103(a908),x67841),f844(f103(a908),x67842)))+P105(f844(a193,f844(f103(a1),x67841)))+P105(f844(a193,f844(f103(a1),x67842)))
% 202.05/201.93 [6801]~P75(x68011)+P105(f844(f844(f234(x68011),f2(x68011)),x68012))+~P105(f844(f844(f234(x68011),f844(f78(x68011),x68012)),x68012))
% 202.05/201.93 [6802]~P75(x68021)+P105(f844(f844(f235(x68021),f2(x68021)),x68022))+~P105(f844(f844(f235(x68021),f844(f78(x68021),x68022)),x68022))
% 202.05/201.93 [6814]~P75(x68141)+~P105(f844(f844(f234(x68141),f2(x68141)),x68142))+P105(f844(f844(f234(x68141),f2(x68141)),f844(f844(f79(x68141),x68142),x68142)))
% 202.05/201.93 [6816]~P75(x68161)+~P105(f844(f844(f235(x68161),f2(x68161)),x68162))+P105(f844(f844(f235(x68161),f2(x68161)),f844(f844(f79(x68161),x68162),x68162)))
% 202.05/201.93 [6828]E(f844(f844(f79(a908),f844(a104,x68281)),f844(a104,x68282)),f844(a104,f844(f844(f79(a1),x68281),x68282)))+~P105(f844(f844(f234(a1),f2(a1)),x68282))+~P105(f844(f844(f234(a1),f2(a1)),x68281))
% 202.05/201.93 [6839]E(x68391,f2(a908))+P105(f844(f844(f235(a908),f2(a908)),x68392))+~P105(f844(f844(f235(a908),f2(a908)),f844(f844(f243(a908),x68392),x68391)))
% 202.05/201.93 [6874]~P94(x68741)+E(f844(f103(x68741),x68742),f2(x68741))+~P27(x68741,f844(f103(x68741),f844(f844(f79(a1),a82),f844(f78(a1),x68742))))
% 202.05/201.93 [6875]~P94(x68751)+E(f844(f103(x68751),x68752),f2(x68751))+~P27(x68751,f844(f103(x68751),f844(f844(f79(a1),x68752),f844(f78(a1),a82))))
% 202.05/201.93 [6931]~P105(f844(f60(x69311),x69312))+~P105(f844(f60(x69311),f241(f916(x69311,a904))))+P105(f844(f60(x69311),f844(f78(f916(x69311,a904)),x69312)))
% 202.05/201.93 [6954]~P105(f844(f844(f235(a1),f2(a1)),x69542))+~P105(f844(f844(f234(a1),x69542),x69541))+P105(f844(f844(f235(a1),f2(a1)),f844(f844(f35(a1),x69541),x69542)))
% 202.05/201.93 [6955]~P105(f844(f844(f234(a1),x69551),f2(a1)))+~P105(f844(f844(f235(a1),x69552),f2(a1)))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f35(a1),x69551),x69552)))
% 202.05/201.93 [6991]~P105(f844(f844(f234(a1),f2(a1)),x69912))+~P105(f844(f844(f234(a1),f2(a1)),x69911))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f80(a1),x69911),x69912)))
% 202.05/201.93 [6992]~P105(f844(f844(f234(a1),f2(a1)),x69922))+~P105(f844(f844(f234(a1),f2(a1)),x69921))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f79(a1),x69921),x69922)))
% 202.05/201.93 [6993]~P105(f844(f844(f234(a1),f2(a1)),x69932))+~P105(f844(f844(f234(a1),f2(a1)),x69931))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f35(a1),x69931),x69932)))
% 202.05/201.93 [6994]~P105(f844(f844(f234(a1),f2(a1)),x69941))+~P105(f844(f844(f235(a1),f2(a1)),x69942))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f35(a1),x69941),x69942)))
% 202.05/201.93 [6995]~P105(f844(f844(f235(a908),f2(a908)),x69952))+~P105(f844(f844(f235(a908),f2(a908)),x69951))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f80(a908),x69951),x69952)))
% 202.05/201.93 [7059]E(x70591,f2(a1))+E(f44(a1,x70592,x70591),f2(a1))+E(f844(f844(f3(a1),f844(f78(a1),f844(f844(f35(a1),x70592),x70591))),f77(a1)),f844(f844(f35(a1),f844(f78(a1),x70592)),x70591))
% 202.05/201.93 [7117]P105(f844(f844(f235(a908),f2(a908)),x71171))+P105(f844(f844(f235(a908),f2(a908)),x71172))+~P105(f844(f844(f235(a908),f2(a908)),f844(f844(f79(a908),x71172),x71171)))
% 202.05/201.93 [7121]~P75(x71211)+P105(f844(f844(f234(x71211),f2(x71211)),x71212))+~P105(f844(f844(f234(x71211),f2(x71211)),f844(f844(f79(x71211),x71212),x71212)))
% 202.05/201.93 [7122]~P75(x71221)+P105(f844(f844(f235(x71221),f2(x71221)),x71222))+~P105(f844(f844(f235(x71221),f2(x71221)),f844(f844(f79(x71221),x71222),x71222)))
% 202.05/201.93 [7173]~P105(f844(f60(x71731),x71732))+P105(f844(f60(x71731),f241(f916(x71731,a904))))+~P105(f844(f60(x71731),f844(f78(f916(x71731,a904)),x71732)))
% 202.05/201.93 [7237]P105(f844(f844(f234(a1),x72371),f2(a1)))+~P105(f844(f844(f235(a1),x72372),f2(a1)))+~P105(f844(f844(f234(a1),f2(a1)),f844(f844(f35(a1),x72371),x72372)))
% 202.05/201.93 [7243]~P105(f844(f844(f235(a1),f2(a1)),x72431))+P105(f844(f844(f234(a1),x72431),x72432))+~P105(f844(f844(f235(a1),f2(a1)),f844(f844(f35(a1),x72432),x72431)))
% 202.05/201.93 [7244]~P105(f844(f844(f234(a1),f2(a1)),x72442))+P105(f844(f844(f234(a1),x72441),x72442))+~P105(f844(f844(f235(a1),f2(a1)),f844(f844(f35(a1),x72442),x72441)))
% 202.05/201.93 [7274]P105(f844(f844(f234(a1),f2(a1)),x72741))+~P105(f844(f844(f235(a1),f2(a1)),x72742))+~P105(f844(f844(f234(a1),f2(a1)),f844(f844(f35(a1),x72741),x72742)))
% 202.05/201.93 [7275]P105(f844(f844(f235(a1),f2(a1)),x72751))+~P105(f844(f844(f234(a1),f2(a1)),x72752))+~P105(f844(f844(f235(a1),f2(a1)),f844(f844(f35(a1),x72752),x72751)))
% 202.05/201.93 [7718]~P105(f844(f60(x77182),f241(f916(x77182,a904))))+~P105(f844(f60(x77181),f241(f916(x77181,a904))))+P105(f844(f60(f914(x77181,x77182)),f241(f916(f914(x77181,x77182),a904))))
% 202.05/201.93 [7719]~P105(f844(f60(x77192),f241(f916(x77192,a904))))+~P105(f844(f60(x77191),f241(f916(x77191,a904))))+P105(f844(f60(f915(x77191,x77192)),f241(f916(f915(x77191,x77192),a904))))
% 202.05/201.93 [7789]~P105(f844(f844(f235(a908),f844(a112,f2(a908))),x77891))+~P105(f844(f844(f235(a908),f844(a112,f2(a908))),x77892))+P105(f844(f844(f235(a908),x77891),f844(f844(f80(a908),x77892),x77891)))
% 202.05/201.93 [7790]~P105(f844(f844(f235(a908),f844(a112,f2(a908))),x77901))+~P105(f844(f844(f235(a908),f844(a112,f2(a908))),x77902))+P105(f844(f844(f235(a908),x77901),f844(f844(f80(a908),x77901),x77902)))
% 202.05/201.93 [7823]E(f844(f34(x78231),f241(f916(x78231,a904))),f844(a112,f2(a908)))+P105(f844(f60(x78232),f241(f916(x78232,a904))))+~P105(f844(f60(f916(x78232,x78231)),f241(f916(f916(x78232,x78231),a904))))
% 202.05/201.93 [7948]~P105(f844(f844(f234(a908),f844(a112,f2(a908))),x79481))+~P105(f844(f844(f234(a908),f844(a112,f2(a908))),x79482))+P105(f844(f844(f234(a908),f844(a112,f2(a908))),f844(f844(f80(a908),x79481),x79482)))
% 202.05/201.93 [7949]~P105(f844(f844(f235(a908),f844(a112,f2(a908))),x79492))+~P105(f844(f844(f235(a908),f844(a112,f2(a908))),x79491))+P105(f844(f844(f235(a908),f844(a112,f2(a908))),f844(f844(f80(a908),x79491),x79492)))
% 202.05/201.93 [8619]E(x86191,f113(x86192))+~P105(f844(f137(x86192),x86191))+E(f177(x86192,f844(f844(f10(a904,a904,x86192),a321),f844(f844(f9(x86192,x86192,a904),a324),f144(x86192,x86191))),x86191),f114(x86192,x86191))
% 202.05/201.93 [8713]~P39(x87132)+~P39(x87131)+E(f844(f309(a908,a1,f100(a1)),f844(f844(f110(f916(a908,a904)),f844(f309(a1,a908,a104),x87131)),f844(f309(a1,a908,a104),x87132))),f844(f844(f110(f916(a1,a904)),x87131),x87132))
% 202.05/201.93 [8714]~P39(x87142)+~P39(x87141)+E(f844(f309(a908,a1,f100(a1)),f844(f844(f101(f916(a908,a904)),f844(f309(a1,a908,a104),x87141)),f844(f309(a1,a908,a104),x87142))),f844(f844(f101(f916(a1,a904)),x87141),x87142))
% 202.05/201.93 [9376]~P94(x93761)+~E(f844(f103(x93761),x93762),f77(x93761))+P27(x93761,f844(f103(x93761),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f78(a1),x93762))))
% 202.05/201.93 [9616]~P94(x96161)+E(f844(f103(x96161),x96162),f77(x96161))+~P27(x96161,f844(f103(x96161),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f78(a1),x96162))))
% 202.05/201.93 [10369]E(x103691,f2(a1))+E(x103692,f2(a1))+E(f844(f257(a1,a1,a1,a1,f31(a1),f844(f80(a1),f81(a1,x103692))),f844(f844(f844(f96(f915(a1,a1)),f844(f844(a324,f81(a1,x103691)),f81(a1,x103692))),f52(x103691,x103692)),f844(f844(f256(a1,a1,f915(a1,a1)),f844(f844(f20(a1,f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),f844(f844(f10(f916(a1,f916(f915(a1,a1),f915(a1,a1))),f916(f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),a1),f20(a1,f915(a1,a1),f915(a1,a1))),f844(f844(f10(f915(a1,a1),f916(a1,f916(f915(a1,a1),f915(a1,a1))),a1),f844(f9(a1,f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),f844(f844(f10(a904,f916(f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),a1),f96(f915(a1,a1))),f844(f844(f9(a1,a1,a904),a324),f2(a1))))),f844(f844(f9(a1,a1,f915(a1,a1)),f844(f844(f10(a1,f916(a1,f915(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f844(f844(f9(a1,f916(a1,a1),f916(a1,f915(a1,a1))),f844(f844(f10(f916(a1,f915(a1,a1)),f916(f916(a1,a1),f916(a1,f915(a1,a1))),a1),f10(a1,f915(a1,a1),a1)),f844(f844(f10(a1,f916(a1,f915(a1,a1)),a1),f251(a1,a1)),f844(f844(f9(a1,a1,a1),f844(f844(f10(a1,f916(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f844(f3(a1),f844(f75(a1),x103692))))),f52(x103691,x103692)))),f45(x103691,x103692))
% 202.05/201.93 [10370]E(x103701,f2(a1))+E(x103702,f2(a1))+E(f844(f257(a1,a1,a1,a1,f31(a1),f844(f80(a1),f81(a1,x103702))),f844(f844(f844(f96(f915(a1,a1)),f844(f844(a326,f844(f844(a325,f844(f844(f235(a1),f2(a1)),x103702)),f844(f844(f234(a1),f2(a1)),x103701))),f844(f844(a325,f844(f844(f235(a1),x103702),f2(a1))),f844(f844(f235(a1),x103701),f2(a1))))),f52(x103701,x103702)),f844(f844(f256(a1,a1,f915(a1,a1)),f844(f844(f20(a1,f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),f844(f844(f10(f916(a1,f916(f915(a1,a1),f915(a1,a1))),f916(f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),a1),f20(a1,f915(a1,a1),f915(a1,a1))),f844(f844(f10(f915(a1,a1),f916(a1,f916(f915(a1,a1),f915(a1,a1))),a1),f844(f9(a1,f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),f844(f844(f10(a904,f916(f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),a1),f96(f915(a1,a1))),f844(f844(f9(a1,a1,a904),a324),f2(a1))))),f844(f844(f9(a1,a1,f915(a1,a1)),f844(f844(f10(a1,f916(a1,f915(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f844(f844(f9(a1,f916(a1,a1),f916(a1,f915(a1,a1))),f844(f844(f10(f916(a1,f915(a1,a1)),f916(f916(a1,a1),f916(a1,f915(a1,a1))),a1),f10(a1,f915(a1,a1),a1)),f844(f844(f10(a1,f916(a1,f915(a1,a1)),a1),f251(a1,a1)),f844(f844(f9(a1,a1,a1),f844(f844(f10(a1,f916(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f844(f3(a1),f844(f75(a1),x103702))))),f52(x103701,x103702)))),f45(x103701,x103702))
% 202.05/201.93 [5840]~P118(x58401)+~P94(x58401)+E(f844(f75(x58401),f844(f844(f243(x58401),f844(f103(x58401),a97)),x58402)),f77(x58401))
% 202.05/201.93 [6346]~P140(x63461)+~P105(f844(f844(f235(a1),x63462),f2(a1)))+E(f844(f78(x63461),f844(f100(x63461),f844(a104,f844(f78(a1),x63462)))),f844(f102(x63461),x63462))
% 202.05/201.93 [6552]P105(f844(f844(f234(a99),x65521),f77(a99)))+E(f844(f844(f79(a99),f77(a99)),f271(x65521,f844(f844(f35(a99),x65522),x65521))),f271(x65521,x65522))+P105(f844(f844(f235(a99),x65522),x65521))
% 202.05/201.93 [7162]~P92(x71621)+~P105(f844(f844(f328(x71621),x71622),f109(x71621)))+~E(f844(f844(f79(x71621),f844(f844(f79(x71621),f77(x71621)),x71622)),x71622),f2(x71621))
% 202.05/201.93 [7276]~P105(f844(f844(f234(a1),x72762),f2(a1)))+~P105(f844(f844(f235(a1),x72761),f2(a1)))+E(f844(f250(a1,a1),f844(a50,f46(f844(f78(a1),x72761),f844(f78(a1),x72762)))),f844(f844(f35(a1),x72761),x72762))
% 202.05/201.93 [7293]~P105(f844(f844(f234(a1),x72932),f2(a1)))+~P105(f844(f844(f235(a1),x72931),f2(a1)))+E(f844(f255(a1,a1),f844(a50,f46(f844(f78(a1),x72931),f844(f78(a1),x72932)))),f44(a1,x72931,x72932))
% 202.05/201.93 [7299]~P105(f844(f844(f235(a1),x72992),f2(a1)))+E(f844(f250(a1,a1),f844(a50,f49(f844(f78(a1),x72991),f844(f78(a1),x72992)))),f844(f844(f35(a1),x72991),x72992))+~P105(f844(f844(f235(a1),f2(a1)),x72991))
% 202.05/201.93 [7317]~P105(f844(f844(f235(a1),x73172),f2(a1)))+E(f844(f255(a1,a1),f844(a50,f49(f844(f78(a1),x73171),f844(f78(a1),x73172)))),f44(a1,x73171,x73172))+~P105(f844(f844(f235(a1),f2(a1)),x73171))
% 202.05/201.93 [7369]E(f844(f844(f35(a1),f844(f844(f243(a1),x73691),x73692)),x73691),f844(f844(f243(a1),x73691),f844(f844(f3(a908),x73692),f844(a112,f2(a908)))))+~P105(f844(f844(f235(a908),f2(a908)),x73692))+~P105(f844(f844(f235(a1),f2(a1)),x73691))
% 202.05/201.93 [7475]~P105(f844(f844(f235(a908),f2(a908)),x74751))+~P105(f844(f844(f235(a908),f2(a908)),x74752))+P105(f844(f844(f235(a908),f844(f844(f3(a908),x74751),x74752)),x74751))
% 202.05/201.93 [7476]~P105(f844(f844(f235(a908),f2(a908)),x74761))+~P105(f844(f844(f235(a908),f77(a908)),x74762))+P105(f844(f844(f235(a908),f844(f844(f35(a908),x74761),x74762)),x74761))
% 202.05/201.93 [7477]~P105(f844(f844(f235(a1),f2(a1)),x74771))+~P105(f844(f844(f235(a1),f77(a1)),x74772))+P105(f844(f844(f235(a1),f844(f844(f35(a1),x74771),x74772)),x74771))
% 202.05/201.93 [7614]E(x76141,f2(a908))+~E(x76142,f2(a1))+~P105(f844(f844(f235(a1),f2(a1)),f844(f844(f243(a1),f844(f75(a1),x76142)),x76141)))
% 202.05/201.93 [8025]~E(x80252,f113(f909(x80251)))+E(f844(f189(f909(f909(x80251))),f179(x80251,x80252)),f2(a908))+~P12(a908,f844(f168(a908),f844(f844(f154(f909(x80251),a908),f189(f909(x80251))),x80252)))
% 202.05/201.93 [8272]P105(f844(x82721,x82722))+~P105(f844(x82721,f844(a106,f521(x82721,x82722))))+~P105(f844(f844(f328(f916(f915(a908,a908),a904)),x82722),a98))
% 202.05/201.93 [8288]E(x82881,f113(f909(x82882)))+E(f844(f189(f909(x82882)),f844(f844(f164(f909(x82882)),x82881),f2(a908))),f844(f189(f909(f909(x82882))),f179(x82882,x82881)))+~P12(a908,f844(f168(a908),f844(f844(f154(f909(x82882),a908),f189(f909(x82882))),x82881)))
% 202.05/201.93 [8428]~P37(x84281,x84282)+~P38(x84281,x84282)+P37(x84281,f844(f844(f3(f916(f915(x84281,x84281),a904)),x84282),f306(x84281,f188(f916(f915(x84281,x84281),a904)))))
% 202.05/201.93 [8998]~P105(f844(f60(x89981),f844(f261(x89981),x89982)))+~P105(f844(f60(x89981),f241(f916(x89981,a904))))+P105(f844(f60(x89981),f844(f261(x89981),f844(f844(f10(a904,a904,x89981),a321),x89982))))
% 202.05/201.93 [9062]E(f844(f844(f251(a908,a908),f844(a112,f844(f844(f35(a908),f844(f844(f3(a908),x90621),x90622)),x90622))),f44(a908,f844(f844(f3(a908),x90621),x90622),x90622)),f84(f915(a908,a908),f47(x90621,x90622)))+~P105(f844(f844(f235(a908),f2(a908)),x90622))+~P105(f844(f844(f234(a908),x90622),x90621))
% 202.05/201.93 [9341]~P105(f844(f60(x93411),f844(f261(x93411),x93412)))+P105(f844(f60(x93411),f241(f916(x93411,a904))))+~P105(f844(f60(x93411),f844(f261(x93411),f844(f844(f10(a904,a904,x93411),a321),x93412))))
% 202.05/201.93 [10056]P26(x100561,x100562)+~P36(x100561,f844(f250(f916(f915(x100561,x100561),a904),f916(f915(x100561,x100561),a904)),x100562))+~P105(f844(f844(f234(f916(f915(x100561,x100561),a904)),f844(f844(f288(x100561,x100561,x100561),f844(f250(f916(f915(x100561,x100561),a904),f916(f915(x100561,x100561),a904)),x100562)),f844(f255(f916(f915(x100561,x100561),a904),f916(f915(x100561,x100561),a904)),x100562))),f844(f250(f916(f915(x100561,x100561),a904),f916(f915(x100561,x100561),a904)),x100562)))
% 202.05/201.93 [10153]~E(f299(a908,f286(a908),f844(f844(f20(a908,f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),a908),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),a908),f844(f10(a904,f916(a904,a904),a908),a325)),f286(a908)))),f844(f844(f10(f916(a908,a904),f916(a908,a904),a908),f844(f10(a904,a904,a908),a321)),f844(f9(a908,a908,a904),f286(a908)))),x101532,x101531),f188(f916(a908,a904)))+~P105(f844(f844(f286(a908),x101532),x101531))+P105(f844(f844(f286(a908),x101531),x101532))
% 202.05/201.93 [10154]~E(f296(a908,f286(a908),f844(f844(f20(a908,f916(a908,a904),f916(a908,a904)),f844(f844(f10(f916(a908,f916(a904,a904)),f916(f916(a908,a904),f916(a908,a904)),a908),f20(a908,a904,a904)),f844(f844(f10(f916(a908,a904),f916(a908,f916(a904,a904)),a908),f844(f10(a904,f916(a904,a904),a908),a325)),f286(a908)))),f844(f844(f10(f916(a908,a904),f916(a908,a904),a908),f844(f10(a904,a904,a908),a321)),f844(f9(a908,a908,a904),f286(a908)))),x101542,x101541),f188(f916(a908,a904)))+~P105(f844(f844(f286(a908),x101542),x101541))+P105(f844(f844(f286(a908),x101541),x101542))
% 202.05/201.93 [7399]~P105(f844(f844(f235(a908),f2(a908)),x73992))+P105(f844(f844(f235(a908),x73991),x73992))+E(f844(a112,f844(f844(f35(a908),f844(f844(f3(a908),x73991),x73992)),x73992)),f844(f844(f35(a908),x73991),x73992))
% 202.05/201.93 [7539]~P105(f844(f844(f235(a908),f2(a908)),x75392))+~P105(f844(f844(f234(a908),x75392),x75391))+E(f844(a112,f844(f844(f35(a908),f844(f844(f3(a908),x75391),x75392)),x75392)),f844(f844(f35(a908),x75391),x75392))
% 202.05/201.93 [8491]~P94(x84911)+~P92(x84911)+~P27(x84911,f844(f103(x84911),f844(f844(f3(a1),f844(f844(f79(a1),x84912),x84912)),a97)))
% 202.05/201.93 [9251]E(x92511,f2(a908))+E(f844(f844(f256(a908,a908,f915(a908,a908)),f844(f844(f10(a908,f916(a908,f915(a908,a908)),a908),f251(a908,a908)),a112)),f84(f915(a908,a908),f47(f844(f844(f3(a908),x92512),x92511),x92511))),f84(f915(a908,a908),f47(x92512,x92511)))+P105(f844(f844(f235(a908),x92512),x92511))
% 202.05/201.93 [9429]~P37(x94291,x94292)+~P50(x94291,x94292)+P105(f844(f844(f234(f916(f915(x94291,x94291),a904)),f844(f844(f288(x94291,x94291,x94291),f844(f285(x94291,x94291),x94292)),x94292)),x94292))
% 202.05/201.93 [9680]P105(f844(x96802,f630(x96802,x96801)))+P105(f844(x96801,f630(x96802,x96801)))+E(f844(f261(a1),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),x96801)),f844(f261(a1),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),x96802)))
% 202.05/201.93 [9684]~P105(f844(x96842,f630(x96842,x96841)))+~P105(f844(x96841,f630(x96842,x96841)))+E(f844(f261(a1),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),x96841)),f844(f261(a1),f844(f844(f20(a1,a904,a904),f844(f844(f10(a904,f916(a904,a904),a1),a325),f844(f234(a1),f2(a1)))),x96842)))
% 202.05/201.93 [7747]~P63(x77471)+~P94(x77471)+E(f844(f844(f290(x77471),x77472),f844(f103(x77471),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))),x77472)
% 202.05/201.93 [9375]~P94(x93751)+~E(f844(f103(x93751),x93752),f77(x93751))+P27(x93751,f844(f103(x93751),f844(f844(f79(a1),x93752),f844(f78(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 202.05/201.93 [9558]~P141(x95581)+~E(x95582,f77(x95581))+E(f844(f844(f243(x95581),x95582),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f77(x95581))
% 202.05/201.93 [9559]~P141(x95591)+~E(x95592,f2(x95591))+E(f844(f844(f243(x95591),x95592),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f2(x95591))
% 202.05/201.93 [9574]~P141(x95741)+~E(x95742,f844(f78(x95741),f77(x95741)))+E(f844(f844(f243(x95741),x95742),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f77(x95741))
% 202.05/201.93 [9617]~P94(x96171)+E(f844(f103(x96171),x96172),f77(x96171))+~P27(x96171,f844(f103(x96171),f844(f844(f79(a1),x96172),f844(f78(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 202.05/201.93 [9999]~P118(x99992)+E(x99991,f2(x99992))+P105(f844(f844(f235(x99992),f2(x99992)),f844(f844(f243(x99992),x99991),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 202.05/201.93 [10055]~P118(x100552)+~E(x100551,f2(x100552))+~P105(f844(f844(f235(x100552),f2(x100552)),f844(f844(f243(x100552),x100551),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 202.05/201.93 [10092]P105(f844(f844(f234(a1),x100921),f2(a1)))+P105(f844(f844(f235(a1),x100922),x100921))+E(f844(f42(x100921),f46(x100922,f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100921))),f46(x100922,x100921))
% 202.05/201.93 [10093]~P105(f844(f844(f235(a1),f2(a1)),x100931))+P105(f844(f844(f235(a1),x100932),x100931))+E(f844(f42(x100931),f46(x100932,f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100931))),f46(x100932,x100931))
% 202.05/201.93 [10094]P105(f844(f844(f234(a1),x100941),f2(a1)))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f79(a1),x100942),x100941)))+E(f844(f42(x100941),f49(x100942,f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100941))),f49(x100942,x100941))
% 202.05/201.93 [10095]~P105(f844(f844(f235(a1),f2(a1)),x100951))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f79(a1),x100952),x100951)))+E(f844(f42(x100951),f49(x100952,f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100951))),f49(x100952,x100951))
% 202.05/201.93 [10096]~P143(x100961)+~P105(f844(f844(f234(a1),f2(a1)),x100962))+E(f844(f100(x100961),f844(a104,f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x100962))),f844(f844(f79(x100961),f844(f100(x100961),f844(a104,x100962))),f844(f100(x100961),f844(a104,x100962))))
% 202.05/201.93 [5170]~P145(x51701,x51703,x51702)+~E(x51703,f2(a1))+P105(f844(x51701,x51702))
% 202.05/201.93 [5294]~P108(x52941)+~P12(x52941,x52943)+P12(x52941,f170(x52941,x52942,x52943))
% 202.05/201.93 [5295]~P108(x52951)+~P12(x52951,x52953)+P12(x52951,f177(x52951,x52952,x52953))
% 202.05/201.93 [4858]~P73(x48582)+~E(x48583,f844(f78(x48582),x48581))+E(x48581,f844(f78(x48582),x48583))
% 202.05/201.93 [4860]~P73(x48601)+~E(f844(f78(x48601),x48603),x48602)+E(f844(f78(x48601),x48602),x48603)
% 202.05/201.93 [4939]~P102(x49393)+E(x49391,x49392)+~E(f844(f100(x49393),x49391),f844(f100(x49393),x49392))
% 202.05/201.93 [4940]~P73(x49403)+E(x49401,x49402)+~E(f844(f78(x49403),x49401),f844(f78(x49403),x49402))
% 202.05/201.93 [4941]~P95(x49413)+E(x49411,x49412)+~E(f844(f78(x49413),x49411),f844(f78(x49413),x49412))
% 202.05/201.93 [4942]~P92(x49423)+E(x49421,x49422)+~E(f844(f102(x49423),x49421),f844(f102(x49423),x49422))
% 202.05/201.93 [4943]~P108(x49433)+E(x49431,x49432)+~E(f844(f281(x49433),x49431),f844(f281(x49433),x49432))
% 202.05/201.93 [4944]~P108(x49443)+E(x49441,x49442)+~E(f844(f300(x49443),x49441),f844(f300(x49443),x49442))
% 202.05/201.93 [4945]~P108(x49453)+E(x49451,x49452)+~E(f844(f303(x49453),x49451),f844(f303(x49453),x49452))
% 202.05/201.93 [4946]~P108(x49463)+E(x49461,x49462)+~E(f844(f282(x49463),x49461),f844(f282(x49463),x49462))
% 202.05/201.93 [5048]~P61(x50481)+~P105(f844(x50482,x50483))+P105(f844(f55(x50481),x50482))
% 202.05/201.93 [5088]~P61(x50883)+P105(f844(x50881,x50882))+~P105(f844(f56(x50883),x50881))
% 202.05/201.93 [5190]~P146(x51901,x51902,x51903)+~E(x51902,f2(a1))+P105(f844(x51901,f2(a1)))
% 202.05/201.93 [5230]~E(x52301,f2(a908))+E(f845(x52301,x52302,x52303),f188(f916(x52303,a904)))+~E(f844(f34(x52303),x52302),f844(a112,x52301))
% 202.05/201.93 [5379]~E(x53792,f2(a908))+E(f844(f250(a908,a908),x53791),f2(a908))+~P105(f844(f47(x53793,x53792),x53791))
% 202.05/201.93 [5424]P105(f844(x54241,x54242))+~E(x54243,f844(f100(a1),x54242))+~P105(f844(x54241,f844(a104,x54243)))
% 202.05/201.93 [5904]~E(x59043,f2(a908))+~P105(f844(x59041,x59042))+P105(f844(x59041,f44(a908,x59042,x59043)))
% 202.05/201.93 [6143]~P103(x61432)+~P103(x61431)+E(f131(x61431,x61432,f132(x61431,x61433),f132(x61432,x61433)),f132(f915(x61431,x61432),x61433))
% 202.05/201.93 [6328]~E(x63283,f2(a908))+P105(f844(x63281,x63282))+~P105(f844(x63281,f44(a908,x63282,x63283)))
% 202.05/201.93 [7016]E(x70161,f2(a908))+~P105(f844(x70162,f359(x70161,x70163,x70162)))+P105(f844(x70162,f44(a908,x70163,x70161)))
% 202.05/201.93 [7127]~P4(x71271)+~P105(f844(f844(f234(x71271),x71272),f376(x71273,x71272,x71271)))+P105(f844(f844(f234(x71271),x71272),f37(x71271,x71273)))
% 202.05/201.93 [7129]~P105(f844(x71291,x71292))+~P105(f844(x71291,f359(x71293,x71292,x71291)))+P105(f844(x71291,f44(a908,x71292,x71293)))
% 202.05/201.93 [7231]E(x72311,f113(x72312))+E(f844(f844(f151(x72312),f679(x72313,x72311,x72312)),f682(x72313,x72311,x72312)),x72311)+~P105(f844(f844(f328(f909(x72312)),x72311),f161(x72312,x72313)))
% 202.05/201.93 [7263]~P140(x72631)+~P105(f844(f844(f328(x72631),x72632),f109(x72631)))+P105(f844(f844(f328(x72631),f844(f844(f243(x72631),x72632),x72633)),f109(x72631)))
% 202.05/201.93 [7586]P36(x75861,x75862)+~P105(f844(f844(f328(x75861),x75863),f600(x75862,x75861)))+P105(f844(f844(f328(x75861),f602(x75862,x75861,x75863)),f600(x75862,x75861)))
% 202.05/201.93 [7850]E(x78501,f113(x78502))+~P105(f844(f844(f328(f909(x78502)),x78501),f161(x78502,x78503)))+P105(f844(f844(f328(f909(x78502)),f682(x78503,x78501,x78502)),f161(x78502,x78503)))
% 202.05/201.93 [7902]E(x79021,f2(a908))+E(f844(f844(f79(a908),f844(f844(f80(a908),x79021),f357(x79021,x79022,x79023))),f359(x79021,x79022,x79023)),x79022)+P105(f844(x79023,f44(a908,x79022,x79021)))
% 202.05/201.93 [7943]~P105(f844(x79433,x79432))+E(f844(f844(f79(a908),f844(f844(f80(a908),x79431),f357(x79431,x79432,x79433))),f359(x79431,x79432,x79433)),x79432)+P105(f844(x79433,f44(a908,x79432,x79431)))
% 202.05/201.93 [8080]P105(f844(f844(f235(a1),x80801),f363(x80802,x80803,x80801)))+P105(f844(f844(x80803,f844(f844(f35(a1),x80802),x80801)),f44(a1,x80802,x80801)))+~P105(f844(f844(f235(a1),x80801),f2(a1)))
% 202.05/201.93 [8343]P105(f844(f844(x83432,f844(f844(f35(a1),x83431),x83433)),f44(a1,x83431,x83433)))+~P105(f844(f844(f235(a1),x83433),f2(a1)))+P105(f844(f844(f234(a1),f363(x83431,x83432,x83433)),f2(a1)))
% 202.05/201.93 [8525]E(f844(f844(f79(a1),f844(f844(f80(a1),x85251),f364(x85252,x85253,x85251))),f363(x85252,x85253,x85251)),x85252)+P105(f844(f844(x85253,f844(f844(f35(a1),x85252),x85251)),f44(a1,x85252,x85251)))+~P105(f844(f844(f235(a1),x85251),f2(a1)))
% 202.05/201.93 [8761]~P105(f844(f844(x87611,f364(x87612,x87611,x87613)),f363(x87612,x87611,x87613)))+P105(f844(f844(x87611,f844(f844(f35(a1),x87612),x87613)),f44(a1,x87612,x87613)))+~P105(f844(f844(f235(a1),x87613),f2(a1)))
% 202.05/201.93 [9011]~P108(x90111)+~P12(x90111,x90113)+P12(x90111,f149(x90111,x90111,f7(x90111),x90112,x90113))
% 202.05/201.93 [9506]~P125(x95062)+E(x95061,f2(x95062))+~P105(f844(f844(f234(x95062),f844(f844(f79(x95062),f844(f844(f80(x95062),x95063),x95063)),f844(f844(f80(x95062),x95061),x95061))),f2(x95062)))
% 202.05/201.93 [9507]~P125(x95072)+E(x95071,f2(x95072))+~P105(f844(f844(f234(x95072),f844(f844(f79(x95072),f844(f844(f80(x95072),x95071),x95071)),f844(f844(f80(x95072),x95073),x95073))),f2(x95072)))
% 202.05/201.93 [10304]~P118(x103041)+~P105(f844(f844(f235(x103041),x103042),f2(x103041)))+P105(f844(f844(f235(x103041),f844(f844(f243(x103041),x103042),f844(a112,f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x103043)))),f2(x103041)))
% 202.05/201.93 [10313]~P118(x103132)+E(x103131,f2(x103132))+~P105(f844(f844(f234(x103132),f844(f844(f79(x103132),f844(f844(f243(x103132),x103133),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x103132),x103131),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))),f2(x103132)))
% 202.05/201.93 [10314]~P118(x103142)+E(x103141,f2(x103142))+~P105(f844(f844(f234(x103142),f844(f844(f79(x103142),f844(f844(f243(x103142),x103141),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x103142),x103143),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))),f2(x103142)))
% 202.05/201.93 [4894]~E(x48942,x48943)+~P66(x48941)+E(f844(f844(f3(x48941),x48942),x48943),f2(x48941))
% 202.05/201.93 [4895]~E(x48952,x48953)+~P73(x48951)+E(f844(f844(f3(x48951),x48952),x48953),f2(x48951))
% 202.05/201.93 [4908]~P137(x49081)+~E(x49083,f2(x49081))+E(f844(f844(f79(x49081),x49082),x49083),x49082)
% 202.05/201.93 [4925]~P139(x49251)+~E(x49253,f2(x49251))+E(f844(f844(f80(x49251),x49252),x49253),f2(x49251))
% 202.05/201.93 [4926]~P139(x49261)+~E(x49262,f2(x49261))+E(f844(f844(f80(x49261),x49262),x49263),f2(x49261))
% 202.05/201.93 [4948]~E(x49483,f113(x49481))+~E(x49482,f113(x49481))+E(f844(f844(f134(x49481),x49482),x49483),f113(x49481))
% 202.05/201.93 [5038]~P137(x50382)+E(x50381,f2(x50382))+~E(f844(f844(f79(x50382),x50383),x50381),x50383)
% 202.05/201.93 [5039]~P73(x50391)+~E(x50392,f844(f78(x50391),x50393))+E(f844(f844(f79(x50391),x50392),x50393),f2(x50391))
% 202.05/201.93 [5046]E(x50461,f113(x50462))+E(x50463,f2(a908))+~E(f844(f844(f175(x50462),x50463),x50461),f113(x50462))
% 202.05/201.93 [5056]~P66(x50563)+E(x50561,x50562)+~E(f844(f844(f3(x50563),x50561),x50562),f2(x50563))
% 202.05/201.93 [5057]~P73(x50573)+E(x50571,x50572)+~E(f844(f844(f3(x50573),x50571),x50572),f2(x50573))
% 202.05/201.93 [5070]~P141(x50702)+E(x50701,f2(x50702))+~E(f844(f844(f243(x50702),x50701),x50703),f2(x50702))
% 202.05/201.93 [5071]~P78(x50712)+E(x50711,f188(x50712))+~E(f844(f844(f110(x50712),x50713),x50711),f188(x50712))
% 202.05/201.93 [5072]~P78(x50722)+E(x50721,f188(x50722))+~E(f844(f844(f110(x50722),x50721),x50723),f188(x50722))
% 202.05/201.93 [5073]~P99(x50732)+E(x50731,f241(x50732))+~E(f844(f844(f101(x50732),x50733),x50731),f241(x50732))
% 202.05/201.93 [5074]~P99(x50742)+E(x50741,f241(x50742))+~E(f844(f844(f101(x50742),x50741),x50743),f241(x50742))
% 202.05/201.93 [5144]~P73(x51442)+E(x51441,f844(f78(x51442),x51443))+~E(f844(f844(f79(x51442),x51441),x51443),f2(x51442))
% 202.05/201.93 [5145]~P73(x51451)+E(f844(f78(x51451),x51452),x51453)+~E(f844(f844(f79(x51451),x51452),x51453),f2(x51451))
% 202.05/201.93 [5147]~E(x51472,x51473)+~P106(x51471)+P105(f844(f844(f234(x51471),x51472),x51473))
% 202.05/201.93 [5149]~E(x51492,x51493)+~P109(x51491)+P105(f844(f844(f234(x51491),x51492),x51493))
% 202.05/201.93 [5247]~P120(x52471)+~E(x52472,f844(f78(x52471),x52473))+E(f844(f844(f80(x52471),x52472),x52472),f844(f844(f80(x52471),x52473),x52473))
% 202.05/201.93 [5255]~P108(x52551)+~P12(x52551,x52553)+P12(x52551,f844(f844(f175(x52551),x52552),x52553))
% 202.05/201.93 [5256]~P108(x52561)+~P12(x52561,x52563)+P12(x52561,f844(f844(f138(x52561),x52562),x52563))
% 202.05/201.93 [5292]E(x52921,x52922)+E(x52923,f2(a908))+~E(f844(f844(f80(a908),x52923),x52921),f844(f844(f80(a908),x52923),x52922))
% 202.05/201.93 [5293]E(x52931,x52932)+E(x52933,f2(a908))+~E(f844(f844(f80(a908),x52931),x52933),f844(f844(f80(a908),x52932),x52933))
% 202.05/201.93 [5372]~E(x53722,x53723)+~P109(x53721)+E(f302(x53721,x53722,x53723),f844(f844(f308(x53721),x53722),f188(f916(x53721,a904))))
% 202.05/201.93 [5413]~P118(x54131)+~E(f844(f75(x54131),x54132),f844(f75(x54131),x54133))+P105(f844(f844(f286(x54131),x54132),x54133))
% 202.05/201.93 [5421]~E(x54211,x54212)+~P108(x54213)+~P105(f844(f844(f235(x54213),x54211),x54212))
% 202.05/201.93 [5422]~E(x54221,x54222)+~P109(x54223)+~P105(f844(f844(f235(x54223),x54221),x54222))
% 202.05/201.93 [5435]~P109(x54351)+E(f844(f301(x54351,x54352),x54353),f188(f916(x54351,a904)))+P105(f844(f844(f235(x54351),x54352),x54353))
% 202.05/201.93 [5483]~P109(x54831)+E(f302(x54831,x54832,x54833),f188(f916(x54831,a904)))+P105(f844(f844(f234(x54831),x54832),x54833))
% 202.05/201.93 [5484]~P109(x54841)+E(f304(x54841,x54842,x54843),f188(f916(x54841,a904)))+P105(f844(f844(f235(x54841),x54842),x54843))
% 202.05/201.93 [5485]~P109(x54851)+E(f188(f916(x54851,a904)),f302(x54851,x54852,x54853))+P105(f844(f844(f234(x54851),x54852),x54853))
% 202.05/201.93 [5486]~P109(x54861)+E(f188(f916(x54861,a904)),f304(x54861,x54862,x54863))+P105(f844(f844(f235(x54861),x54862),x54863))
% 202.05/201.93 [5493]~P100(x54931)+~E(f844(f844(f110(x54931),x54932),x54933),x54933)+P105(f844(f844(f234(x54931),x54932),x54933))
% 202.05/201.93 [5494]~P101(x54941)+~E(f844(f844(f101(x54941),x54942),x54943),x54942)+P105(f844(f844(f234(x54941),x54942),x54943))
% 202.05/201.93 [5495]~P108(x54951)+~E(f844(f844(f232(x54951),x54952),x54953),x54952)+P105(f844(f844(f234(x54951),x54952),x54953))
% 202.05/201.93 [5496]~P108(x54961)+~E(f844(f844(f233(x54961),x54962),x54963),x54963)+P105(f844(f844(f234(x54961),x54962),x54963))
% 202.05/201.93 [5515]~P108(x55151)+P12(x55151,x55152)+~P12(x55151,f844(f844(f151(x55151),x55153),x55152))
% 202.05/201.93 [5516]~P108(x55161)+P12(x55161,x55162)+~P12(x55161,f844(f844(f134(x55161),x55163),x55162))
% 202.05/201.93 [5517]~P108(x55171)+P12(x55171,x55172)+~P12(x55171,f844(f844(f134(x55171),x55172),x55173))
% 202.05/201.93 [5583]~P108(x55831)+P105(f844(f844(f234(x55831),x55833),x55832))+P105(f844(f844(f234(x55831),x55832),x55833))
% 202.05/201.93 [5588]~P108(x55881)+P105(f844(f844(f235(x55881),x55883),x55882))+P105(f844(f844(f234(x55881),x55882),x55883))
% 202.05/201.93 [5626]~P100(x56261)+E(f844(f844(f110(x56261),x56262),x56263),x56262)+~P105(f844(f844(f234(x56261),x56263),x56262))
% 202.05/201.93 [5628]~P100(x56281)+E(f844(f844(f110(x56281),x56282),x56283),x56283)+~P105(f844(f844(f234(x56281),x56282),x56283))
% 202.05/201.93 [5629]~P101(x56291)+E(f844(f844(f101(x56291),x56292),x56293),x56293)+~P105(f844(f844(f234(x56291),x56293),x56292))
% 202.05/201.93 [5631]~P101(x56311)+E(f844(f844(f101(x56311),x56312),x56313),x56312)+~P105(f844(f844(f234(x56311),x56312),x56313))
% 202.05/201.93 [5632]~P108(x56321)+E(f844(f844(f232(x56321),x56322),x56323),x56323)+~P105(f844(f844(f234(x56321),x56323),x56322))
% 202.05/201.93 [5634]~P108(x56341)+E(f844(f844(f232(x56341),x56342),x56343),x56342)+~P105(f844(f844(f234(x56341),x56342),x56343))
% 202.05/201.93 [5635]~P108(x56351)+E(f844(f844(f233(x56351),x56352),x56353),x56352)+~P105(f844(f844(f234(x56351),x56353),x56352))
% 202.05/201.93 [5637]~P108(x56371)+E(f844(f844(f233(x56371),x56372),x56373),x56373)+~P105(f844(f844(f234(x56371),x56372),x56373))
% 202.05/201.93 [5644]~P121(x56442)+E(x56441,f2(x56442))+E(f844(f844(f290(x56442),f844(f78(x56442),x56443)),f844(f78(x56442),x56441)),f844(f844(f290(x56442),x56443),x56441))
% 202.05/201.93 [5696]~P109(x56961)+E(f844(f301(x56961,x56962),x56963),f188(f916(x56961,a904)))+~P105(f844(f844(f234(x56961),x56963),x56962))
% 202.05/201.93 [5729]~P109(x57291)+E(f302(x57291,x57292,x57293),f188(f916(x57291,a904)))+~P105(f844(f844(f235(x57291),x57293),x57292))
% 202.05/201.93 [5730]~P109(x57301)+E(f305(x57301,x57302,x57303),f188(f916(x57301,a904)))+~P105(f844(f844(f234(x57301),x57303),x57302))
% 202.05/201.93 [5731]~P109(x57311)+E(f304(x57311,x57312,x57313),f188(f916(x57311,a904)))+~P105(f844(f844(f234(x57311),x57313),x57312))
% 202.05/201.93 [5783]~E(f844(f844(f3(a908),x57831),x57833),x57832)+E(x57831,f844(f844(f79(a908),x57832),x57833))+~P105(f844(f844(f234(a908),x57833),x57831))
% 202.05/201.93 [5784]~E(x57841,f844(f844(f79(a908),x57843),x57842))+E(f844(f844(f3(a908),x57841),x57842),x57843)+~P105(f844(f844(f234(a908),x57842),x57841))
% 202.05/201.93 [5829]~P105(f844(x58291,x58293))+P105(f844(x58291,f399(x58291,x58292)))+~P105(f844(f844(f234(a908),x58293),x58292))
% 202.05/201.93 [5830]~P105(f844(x58301,x58303))+P105(f844(x58301,f444(x58301,x58302)))+~P105(f844(f844(f235(a908),x58303),x58302))
% 202.05/201.93 [5838]~P109(x58381)+~E(f844(f301(x58381,x58382),x58383),f188(f916(x58381,a904)))+~P105(f844(f844(f235(x58381),x58382),x58383))
% 202.05/201.93 [5843]~P106(x58431)+~P105(f844(f844(f235(x58431),x58432),x58433))+P105(f844(f844(f234(x58431),x58432),x58433))
% 202.05/201.93 [5845]~P109(x58451)+~P105(f844(f844(f235(x58451),x58452),x58453))+P105(f844(f844(f234(x58451),x58452),x58453))
% 202.05/201.93 [5963]~P109(x59631)+~E(f302(x59631,x59632,x59633),f188(f916(x59631,a904)))+~P105(f844(f844(f234(x59631),x59632),x59633))
% 202.05/201.93 [5964]~P109(x59641)+~E(f304(x59641,x59642,x59643),f188(f916(x59641,a904)))+~P105(f844(f844(f235(x59641),x59642),x59643))
% 202.05/201.93 [5965]~P109(x59651)+~E(f188(f916(x59651,a904)),f302(x59651,x59652,x59653))+~P105(f844(f844(f234(x59651),x59652),x59653))
% 202.05/201.93 [5966]~P109(x59661)+~E(f188(f916(x59661,a904)),f304(x59661,x59662,x59663))+~P105(f844(f844(f235(x59661),x59662),x59663))
% 202.05/201.93 [5976]P105(f844(x59761,x59762))+~P105(f844(x59761,f415(x59761,x59763)))+~P105(f844(f844(f234(a908),x59762),x59763))
% 202.05/201.93 [5977]P105(f844(x59771,x59772))+~P105(f844(x59771,f465(x59771,x59773)))+~P105(f844(f844(f235(a908),x59772),x59773))
% 202.05/201.93 [5985]~E(x59851,f844(a112,x59853))+P105(f844(f844(f235(a908),x59851),f844(a112,x59852)))+~P105(f844(f844(f235(a908),x59853),x59852))
% 202.05/201.93 [6004]E(x60041,x60042)+~E(f844(f844(f80(a908),x60043),x60041),f844(f844(f80(a908),x60043),x60042))+~P105(f844(f844(f235(a908),f2(a908)),x60043))
% 202.05/201.93 [6060]E(f844(x60601,f861(x60601,x60602,x60603)),f77(a908))+~E(f844(f844(f8(x60603,a908),x60601),x60602),f77(a908))+~P105(f844(f60(x60603),x60602))
% 202.05/201.93 [6076]~P4(x60761)+P105(f844(f844(f234(x60761),x60762),f36(x60761,x60763)))+~P105(f844(f844(f328(x60761),x60762),x60763))
% 202.05/201.93 [6099]~P106(x60991)+~P105(f844(f844(f235(x60991),x60993),x60992))+~P105(f844(f844(f234(x60991),x60992),x60993))
% 202.05/201.93 [6103]~P106(x61031)+~P105(f844(f844(f235(x61031),x61033),x61032))+~P105(f844(f844(f235(x61031),x61032),x61033))
% 202.05/201.93 [6106]~P108(x61061)+~P105(f844(f844(f235(x61061),x61063),x61062))+~P105(f844(f844(f234(x61061),x61062),x61063))
% 202.05/201.93 [6107]~P108(x61071)+~P105(f844(f844(f235(x61071),x61073),x61072))+~P105(f844(f844(f235(x61071),x61072),x61073))
% 202.05/201.93 [6108]~P109(x61081)+~P105(f844(f844(f235(x61081),x61083),x61082))+~P105(f844(f844(f235(x61081),x61082),x61083))
% 202.05/201.93 [6128]~E(x61282,x61283)+~E(x61281,x61282)+E(f289(a908,f286(a908),x61281,x61282),f844(f844(f308(a908),x61283),f188(f916(a908,a904))))
% 202.05/201.93 [6135]~E(f844(x61352,f862(x61352,x61353,x61351)),f2(a908))+E(f844(f844(f8(x61351,a908),x61352),x61353),f2(a908))+~P105(f844(f60(x61351),x61353))
% 202.05/201.93 [6136]~E(f844(x61362,f729(x61362,x61363,x61361)),f77(a908))+E(f844(f844(f11(x61361,a908),x61362),x61363),f77(a908))+~P105(f844(f60(x61361),x61363))
% 202.05/201.93 [6152]~P107(x61521)+~P105(f844(f844(f235(x61521),x61523),x61522))+P105(f844(f844(f328(x61521),x61522),f844(f303(x61521),x61523)))
% 202.05/201.93 [6153]~P107(x61531)+~P105(f844(f844(f234(x61531),x61533),x61532))+P105(f844(f844(f328(x61531),x61532),f844(f282(x61531),x61533)))
% 202.05/201.93 [6154]~P107(x61541)+~P105(f844(f844(f235(x61541),x61542),x61543))+P105(f844(f844(f328(x61541),x61542),f844(f281(x61541),x61543)))
% 202.05/201.93 [6155]~P107(x61551)+~P105(f844(f844(f234(x61551),x61552),x61553))+P105(f844(f844(f328(x61551),x61552),f844(f300(x61551),x61553)))
% 202.05/201.93 [6156]~P114(x61561)+~P105(f844(f844(f286(x61561),x61562),x61563))+P105(f844(f844(f286(x61561),x61562),f844(f78(x61561),x61563)))
% 202.05/201.93 [6168]E(f844(x61681,f863(x61681,x61682,x61683)),f844(a112,f2(a908)))+~E(f844(f844(f8(x61683,a908),x61681),x61682),f844(a112,f2(a908)))+~P105(f844(f60(x61683),x61682))
% 202.05/201.93 [6251]~P4(x62511)+~P105(f844(f844(f328(x62511),x62513),x62512))+P105(f844(f844(f234(x62511),f37(x62511,x62512)),x62513))
% 202.05/201.93 [6272]~P105(f844(f844(f234(a908),x62721),x62723))+P105(f844(f844(f234(a908),x62721),x62722))+~P105(f844(f844(f234(a908),x62723),x62722))
% 202.05/201.93 [6273]~P105(f844(f844(f234(a1),x62731),x62733))+P105(f844(f844(f234(a1),x62731),x62732))+~P105(f844(f844(f234(a1),x62733),x62732))
% 202.05/201.93 [6274]~P105(f844(f844(f286(a908),x62741),x62743))+P105(f844(f844(f286(a908),x62741),x62742))+~P105(f844(f844(f286(a908),x62743),x62742))
% 202.05/201.93 [6294]~P107(x62941)+~P105(f844(f844(f328(x62941),x62943),f844(f282(x62941),x62942)))+P105(f844(f844(f234(x62941),x62942),x62943))
% 202.05/201.93 [6295]~P107(x62951)+~P105(f844(f844(f328(x62951),x62952),f844(f300(x62951),x62953)))+P105(f844(f844(f234(x62951),x62952),x62953))
% 202.05/201.93 [6296]~P107(x62961)+~P105(f844(f844(f328(x62961),x62963),f844(f303(x62961),x62962)))+P105(f844(f844(f235(x62961),x62962),x62963))
% 202.05/201.93 [6297]~P107(x62971)+~P105(f844(f844(f328(x62971),x62972),f844(f281(x62971),x62973)))+P105(f844(f844(f235(x62971),x62972),x62973))
% 202.05/201.93 [6298]~P114(x62981)+~P105(f844(f844(f286(x62981),x62982),f844(f78(x62981),x62983)))+P105(f844(f844(f286(x62981),x62982),x62983))
% 202.05/201.93 [6371]~P105(f844(x63711,x63712))+P105(f844(x63711,f780(x63711)))+~P105(f844(f844(f328(x63713),x63712),f241(f916(x63713,a904))))
% 202.05/201.93 [6517]~P64(x65171)+P105(f844(f844(f235(x65171),f2(x65171)),f880(x65173,x65172,x65171)))+P105(f844(f844(f234(x65171),x65172),x65173))
% 202.05/201.93 [6518]~P65(x65181)+P105(f844(f844(f235(x65181),f2(x65181)),f888(x65183,x65182,x65181)))+P105(f844(f844(f234(x65181),x65182),x65183))
% 202.05/201.93 [6585]~P79(x65851)+~P105(f844(f844(f234(x65851),x65853),f844(f78(x65851),x65852)))+P105(f844(f844(f234(x65851),x65852),f844(f78(x65851),x65853)))
% 202.05/201.93 [6587]~P79(x65871)+~P105(f844(f844(f235(x65871),x65873),f844(f78(x65871),x65872)))+P105(f844(f844(f235(x65871),x65872),f844(f78(x65871),x65873)))
% 202.05/201.93 [6599]~P105(f844(f844(f235(a908),x65991),x65993))+~P105(f844(f844(f235(a908),x65993),x65992))+P105(f844(f844(f235(a908),f844(a112,x65991)),x65992))
% 202.05/201.93 [6627]~P124(x66271)+P105(f844(f844(f234(x66271),f844(f100(x66271),x66272)),f844(f100(x66271),x66273)))+~P105(f844(f844(f234(a908),x66272),x66273))
% 202.05/201.93 [6628]~P118(x66281)+P105(f844(f844(f234(x66281),f844(f102(x66281),x66282)),f844(f102(x66281),x66283)))+~P105(f844(f844(f234(a1),x66282),x66283))
% 202.05/201.93 [6630]~P118(x66301)+P105(f844(f844(f235(x66301),f844(f102(x66301),x66302)),f844(f102(x66301),x66303)))+~P105(f844(f844(f235(a1),x66302),x66303))
% 202.05/201.93 [6631]~P124(x66311)+P105(f844(f844(f235(x66311),f844(f100(x66311),x66312)),f844(f100(x66311),x66313)))+~P105(f844(f844(f235(a908),x66312),x66313))
% 202.05/201.93 [6637]~P108(x66371)+E(f844(f844(f110(f916(x66371,a904)),f844(f281(x66371),x66372)),f844(f301(x66371,x66372),x66373)),f844(f281(x66371),x66373))+~P105(f844(f844(f234(x66371),x66372),x66373))
% 202.05/201.93 [6667]~P79(x66671)+~P105(f844(f844(f234(x66671),x66673),x66672))+P105(f844(f844(f234(x66671),f844(f78(x66671),x66672)),f844(f78(x66671),x66673)))
% 202.05/201.93 [6669]~P95(x66691)+~P105(f844(f844(f234(x66691),x66693),x66692))+P105(f844(f844(f234(x66691),f844(f78(x66691),x66692)),f844(f78(x66691),x66693)))
% 202.05/201.93 [6670]~P79(x66701)+~P105(f844(f844(f235(x66701),x66703),x66702))+P105(f844(f844(f235(x66701),f844(f78(x66701),x66702)),f844(f78(x66701),x66703)))
% 202.05/201.93 [6706]~P108(x67061)+E(f844(f844(f110(f916(x67061,a904)),f844(f281(x67061),x67062)),f302(x67061,x67062,x67063)),f844(f300(x67061),x67063))+~P105(f844(f844(f234(x67061),x67062),x67063))
% 202.05/201.93 [6707]~P108(x67071)+E(f844(f844(f110(f916(x67071,a904)),f844(f300(x67071),x67072)),f305(x67071,x67072,x67073)),f844(f281(x67071),x67073))+~P105(f844(f844(f235(x67071),x67072),x67073))
% 202.05/201.93 [6708]~P108(x67081)+E(f844(f844(f110(f916(x67081,a904)),f844(f300(x67081),x67082)),f304(x67081,x67082,x67083)),f844(f300(x67081),x67083))+~P105(f844(f844(f234(x67081),x67082),x67083))
% 202.05/201.93 [6742]~P108(x67421)+E(f844(f844(f110(f916(x67421,a904)),f844(f301(x67421,x67422),x67423)),f844(f282(x67421),x67423)),f844(f282(x67421),x67422))+~P105(f844(f844(f234(x67421),x67422),x67423))
% 202.05/201.93 [6773]~P147(x67731,x67733)+P148(x67731,x67732)+P105(f844(f844(a918,f841(x67731,x67733,x67732)),x67733))
% 202.05/201.93 [6901]~P108(x69011)+E(f844(f844(f110(f916(x69011,a904)),f302(x69011,x69012,x69013)),f844(f303(x69011),x69013)),f844(f282(x69011),x69012))+~P105(f844(f844(f234(x69011),x69012),x69013))
% 202.05/201.93 [6902]~P108(x69021)+E(f844(f844(f110(f916(x69021,a904)),f305(x69021,x69022,x69023)),f844(f282(x69021),x69023)),f844(f303(x69021),x69022))+~P105(f844(f844(f235(x69021),x69022),x69023))
% 202.05/201.93 [6903]~P108(x69031)+E(f844(f844(f110(f916(x69031,a904)),f304(x69031,x69032,x69033)),f844(f303(x69031),x69033)),f844(f303(x69031),x69032))+~P105(f844(f844(f234(x69031),x69032),x69033))
% 202.05/201.93 [6922]P105(f844(x69221,x69222))+~P105(f844(f844(f234(a908),x69222),x69223))+P105(f844(f844(f328(a908),f415(x69221,x69223)),f302(a908,f2(a908),x69223)))
% 202.05/201.93 [6956]E(x69561,x69562)+~E(f844(f844(f164(x69563),x69561),f610(x69563,x69562,x69561)),f844(f844(f164(x69563),x69562),f610(x69563,x69562,x69561)))+~E(f844(f189(f909(x69563)),x69561),f844(f189(f909(x69563)),x69562))
% 202.05/201.93 [6961]~E(x69613,f844(f844(f35(a908),x69611),x69612))+~P105(f844(f844(f235(a908),f2(a908)),x69612))+P105(f844(f844(f235(a908),x69611),f844(f844(f80(a908),x69612),f844(a112,x69613))))
% 202.05/201.93 [6977]~P105(f844(x69771,x69773))+~P105(f844(f844(f234(a908),x69773),x69772))+P105(f844(f844(f328(a908),f399(x69771,x69772)),f302(a908,f2(a908),x69772)))
% 202.05/201.93 [7014]~P105(f844(x70141,x70143))+P105(f844(x70141,f416(x70141,x70142)))+~P105(f844(f844(f328(a908),x70143),f302(a908,f2(a908),x70142)))
% 202.05/201.93 [7032]~P124(x70323)+~P105(f844(f844(f234(x70323),f844(f100(x70323),x70321)),f844(f100(x70323),x70322)))+P105(f844(f844(f234(a908),x70321),x70322))
% 202.05/201.93 [7033]~P118(x70333)+~P105(f844(f844(f234(x70333),f844(f102(x70333),x70331)),f844(f102(x70333),x70332)))+P105(f844(f844(f234(a1),x70331),x70332))
% 202.05/201.93 [7035]~P124(x70353)+~P105(f844(f844(f235(x70353),f844(f100(x70353),x70351)),f844(f100(x70353),x70352)))+P105(f844(f844(f235(a908),x70351),x70352))
% 202.05/201.93 [7036]~P118(x70363)+~P105(f844(f844(f235(x70363),f844(f102(x70363),x70361)),f844(f102(x70363),x70362)))+P105(f844(f844(f235(a1),x70361),x70362))
% 202.05/201.93 [7053]~P124(x70531)+~P105(f844(f844(f235(x70531),f77(x70531)),x70532))+P105(f844(f844(f235(x70531),f77(x70531)),f844(f844(f243(x70531),x70532),f844(a112,x70533))))
% 202.05/201.93 [7055]~P79(x70551)+~P105(f844(f844(f234(x70551),f844(f78(x70551),x70553)),f844(f78(x70551),x70552)))+P105(f844(f844(f234(x70551),x70552),x70553))
% 202.05/201.93 [7056]~P95(x70561)+~P105(f844(f844(f234(x70561),f844(f78(x70561),x70563)),f844(f78(x70561),x70562)))+P105(f844(f844(f234(x70561),x70562),x70563))
% 202.05/201.93 [7057]~P79(x70571)+~P105(f844(f844(f235(x70571),f844(f78(x70571),x70573)),f844(f78(x70571),x70572)))+P105(f844(f844(f235(x70571),x70572),x70573))
% 202.05/201.93 [7081]P105(f844(x70811,x70812))+~P105(f844(x70811,f417(x70811,x70813)))+~P105(f844(f844(f328(a908),x70812),f302(a908,f2(a908),x70813)))
% 202.05/201.93 [7103]~P64(x71031)+P105(f844(f844(f235(x71031),f880(x71033,x71032,x71031)),f77(x71031)))+P105(f844(f844(f234(x71031),x71032),x71033))
% 202.05/201.93 [7124]~E(f44(a908,x71243,x71242),f44(a908,x71241,x71242))+E(f844(f844(f79(a908),x71241),f844(f844(f80(a908),x71242),f374(x71241,x71242,x71243))),x71243)+~P105(f844(f844(f234(a908),x71241),x71243))
% 202.05/201.93 [7179]E(f844(f844(f8(x71791,a908),x71792),x71793),f2(a908))+~P105(f844(f60(x71791),x71793))+P105(f844(f844(f328(x71791),f862(x71792,x71793,x71791)),x71793))
% 202.05/201.93 [7180]E(f844(f844(f11(x71801,a908),x71802),x71803),f77(a908))+~P105(f844(f60(x71801),x71803))+P105(f844(f844(f328(x71801),f729(x71802,x71803,x71801)),x71803))
% 202.05/201.93 [7202]~P108(x72021)+~P105(f844(f844(f234(x72021),x72022),x72023))+P105(f844(f844(f234(f916(x72021,a904)),f844(f281(x72021),x72022)),f844(f281(x72021),x72023)))
% 202.05/201.93 [7203]~P109(x72031)+~P105(f844(f844(f234(x72031),x72032),x72033))+P105(f844(f844(f234(f916(x72031,a904)),f844(f300(x72031),x72032)),f844(f300(x72031),x72033)))
% 202.05/201.93 [7204]~P108(x72041)+~P105(f844(f844(f234(x72041),x72043),x72042))+P105(f844(f844(f234(f916(x72041,a904)),f844(f303(x72041),x72042)),f844(f303(x72041),x72043)))
% 202.05/201.93 [7205]~P109(x72051)+~P105(f844(f844(f234(x72051),x72053),x72052))+P105(f844(f844(f234(f916(x72051,a904)),f844(f282(x72051),x72052)),f844(f282(x72051),x72053)))
% 202.05/201.93 [7206]~P108(x72061)+~P105(f844(f844(f235(x72061),x72062),x72063))+P105(f844(f844(f235(f916(x72061,a904)),f844(f281(x72061),x72062)),f844(f281(x72061),x72063)))
% 202.05/201.93 [7217]~P4(x72171)+P105(f844(f844(f234(x72171),x72172),f37(x72171,x72173)))+P105(f844(f844(f328(x72171),f376(x72173,x72172,x72171)),x72173))
% 202.05/201.93 [7223]~P79(x72231)+P105(f844(f844(f234(x72231),f844(f844(f3(x72231),x72232),x72233)),f2(x72231)))+~P105(f844(f844(f234(x72231),x72232),x72233))
% 202.05/201.93 [7224]~P79(x72241)+P105(f844(f844(f235(x72241),f844(f844(f3(x72241),x72242),x72243)),f2(x72241)))+~P105(f844(f844(f235(x72241),x72242),x72243))
% 202.05/201.93 [7266]P105(f844(x72661,x72662))+P105(f844(f844(f234(a908),f417(x72661,x72663)),x72663))+~P105(f844(f844(f328(a908),x72662),f302(a908,f2(a908),x72663)))
% 202.05/201.93 [7306]~E(f844(f844(f8(x73061,a908),x73062),x73063),f77(a908))+~P105(f844(f60(x73061),x73063))+P105(f844(f844(f328(x73061),f861(x73062,x73063,x73061)),x73063))
% 202.05/201.93 [7307]~P105(f844(x73071,x73073))+P105(f844(f844(f234(a908),f416(x73071,x73072)),x73072))+~P105(f844(f844(f328(a908),x73073),f302(a908,f2(a908),x73072)))
% 202.05/201.93 [7346]~P4(x73461)+P105(f844(f844(f328(x73461),f664(x73463,x73462,x73461)),x73462))+P105(f844(f844(f234(x73461),f36(x73461,x73462)),x73463))
% 202.05/201.93 [7380]~E(f844(f844(f8(x73801,a908),x73802),x73803),f844(a112,f2(a908)))+~P105(f844(f60(x73801),x73803))+P105(f844(f844(f328(x73801),f863(x73802,x73803,x73801)),x73803))
% 202.05/201.93 [7391]E(x73911,f2(a908))+P105(f844(x73912,f44(a908,x73913,x73911)))+P105(f844(f844(f235(a908),f359(x73911,x73913,x73912)),x73911))
% 202.05/201.93 [7504]~P105(f844(x75041,x75042))+P105(f844(x75041,f44(a908,x75042,x75043)))+P105(f844(f844(f235(a908),f359(x75043,x75042,x75041)),x75043))
% 202.05/201.93 [7546]P148(x75461,x75462)+~P147(x75461,x75463)+~P105(f844(f844(a920,f841(x75461,x75463,x75462)),x75462))
% 202.05/201.93 [7618]E(x76181,f113(x76182))+~P105(f844(f844(f328(f909(x76182)),x76181),f161(x76182,x76183)))+P105(f844(f844(f328(x76182),f679(x76183,x76181,x76182)),x76183))
% 202.05/201.93 [7640]~P108(x76401)+E(f844(f844(f110(f916(x76401,a904)),f844(f844(f308(x76401),x76402),f188(f916(x76401,a904)))),f305(x76401,x76402,x76403)),f844(f301(x76401,x76402),x76403))+~P105(f844(f844(f235(x76401),x76402),x76403))
% 202.05/201.93 [7662]~P108(x76621)+E(f844(f844(f110(f916(x76621,a904)),f844(f844(f308(x76621),x76622),f188(f916(x76621,a904)))),f304(x76621,x76622,x76623)),f302(x76621,x76622,x76623))+~P105(f844(f844(f234(x76621),x76622),x76623))
% 202.05/201.93 [7769]~P108(x77691)+P105(f844(f844(f234(x77691),x77692),x77693))+~P105(f844(f844(f234(f916(x77691,a904)),f844(f303(x77691),x77693)),f844(f303(x77691),x77692)))
% 202.05/201.93 [7770]~P109(x77701)+P105(f844(f844(f234(x77701),x77702),x77703))+~P105(f844(f844(f234(f916(x77701,a904)),f844(f282(x77701),x77703)),f844(f282(x77701),x77702)))
% 202.05/201.93 [7771]~P108(x77711)+P105(f844(f844(f234(x77711),x77712),x77713))+~P105(f844(f844(f234(f916(x77711,a904)),f844(f281(x77711),x77712)),f844(f281(x77711),x77713)))
% 202.05/201.93 [7772]~P109(x77721)+P105(f844(f844(f234(x77721),x77722),x77723))+~P105(f844(f844(f234(f916(x77721,a904)),f844(f300(x77721),x77722)),f844(f300(x77721),x77723)))
% 202.05/201.93 [7773]~P108(x77731)+P105(f844(f844(f235(x77731),x77732),x77733))+~P105(f844(f844(f235(f916(x77731,a904)),f844(f281(x77731),x77732)),f844(f281(x77731),x77733)))
% 202.05/201.93 [7796]~P79(x77961)+~P105(f844(f844(f234(x77961),f844(f844(f3(x77961),x77962),x77963)),f2(x77961)))+P105(f844(f844(f234(x77961),x77962),x77963))
% 202.05/201.93 [7797]~P79(x77971)+~P105(f844(f844(f235(x77971),f844(f844(f3(x77971),x77972),x77973)),f2(x77971)))+P105(f844(f844(f235(x77971),x77972),x77973))
% 202.05/201.93 [7950]E(x79501,f2(a908))+~E(f844(f142(a908,a908,f79(a908),x79502),x79503),f2(a908))+~P105(f844(f844(f328(a908),x79501),f844(f172(a908),x79503)))
% 202.05/201.93 [7954]~P4(x79541)+~P105(f844(f844(f234(x79541),f664(x79543,x79542,x79541)),x79543))+P105(f844(f844(f234(x79541),f36(x79541,x79542)),x79543))
% 202.05/201.93 [8105]P105(f844(f844(f234(a1),f2(a1)),f365(x81051,x81052,x81053)))+P105(f844(f844(x81052,f844(f844(f35(a1),x81051),x81053)),f44(a1,x81051,x81053)))+~P105(f844(f844(f235(a1),f2(a1)),x81053))
% 202.05/201.93 [8193]E(x81931,x81932)+~E(f844(f189(f909(x81933)),x81931),f844(f189(f909(x81933)),x81932))+~P105(f844(f844(f256(x81933,x81933,a904),a324),f651(x81933,x81931,x81932)))
% 202.05/201.93 [8261]~P36(x82612,x82613)+E(x82611,f188(f916(x82612,a904)))+~P105(f844(f844(f234(f916(x82612,a904)),x82611),f844(f284(x82612,x82612,x82613),x82611)))
% 202.05/201.93 [8290]~P65(x82901)+~P105(f844(f844(f234(x82901),x82902),f844(f844(f79(x82901),x82903),f888(x82903,x82902,x82901))))+P105(f844(f844(f234(x82901),x82902),x82903))
% 202.05/201.93 [8325]P51(x83251,x83252,x83253)+P105(f844(f844(f328(x83251),f562(x83253,x83252,x83251)),x83252))+P105(f844(f844(f328(f915(x83251,x83251)),f563(x83253,x83252,x83251)),x83253))
% 202.05/201.93 [8346]P105(f844(f844(x83462,f844(f844(f35(a1),x83461),x83463)),f44(a1,x83461,x83463)))+~P105(f844(f844(f235(a1),f2(a1)),x83463))+P105(f844(f844(f235(a1),f365(x83461,x83462,x83463)),x83463))
% 202.05/201.93 [8370]E(f844(f309(a908,a908,f844(f844(f9(a908,a908,a908),f3(a908)),x83701)),f844(f301(a908,x83702),x83703)),f188(f916(a908,a904)))+P105(f844(f844(f235(a908),x83701),x83703))+P105(f844(f844(f235(a908),x83702),x83703))
% 202.05/201.93 [8480]E(f844(f309(a908,a908,f844(f844(f9(a908,a908,a908),f3(a908)),x84801)),f844(f301(a908,x84802),x84803)),f844(f844(f308(a908),f2(a908)),f188(f916(a908,a904))))+P105(f844(f844(f235(a908),x84801),x84803))+~P105(f844(f844(f235(a908),x84802),x84803))
% 202.05/201.93 [8494]~P108(x84941)+E(f149(x84941,x84941,f7(x84941),x84942,x84943),x84943)+~P105(f844(f844(f328(x84941),x84942),f844(f172(x84941),x84943)))
% 202.05/201.93 [8507]P24(x85071,x85071,x85072,x85073)+~P105(f844(f60(x85071),x85073))+~P105(f844(f844(f234(f916(x85071,a904)),x85073),f844(f309(x85071,x85071,x85072),x85073)))
% 202.05/201.93 [8532]E(f844(f844(f79(a1),f844(f844(f80(a1),x85321),f366(x85322,x85323,x85321))),f365(x85322,x85323,x85321)),x85322)+P105(f844(f844(x85323,f844(f844(f35(a1),x85322),x85321)),f44(a1,x85322,x85321)))+~P105(f844(f844(f235(a1),f2(a1)),x85321))
% 202.05/201.93 [8768]~P105(f844(f844(x87681,f366(x87682,x87681,x87683)),f365(x87682,x87681,x87683)))+P105(f844(f844(x87681,f844(f844(f35(a1),x87682),x87683)),f44(a1,x87682,x87683)))+~P105(f844(f844(f235(a1),f2(a1)),x87683))
% 202.05/201.93 [9648]~P105(f844(f60(x96481),x96482))+~P105(f844(f844(f328(x96481),x96483),x96482))+P105(f844(f844(f235(a908),f844(f34(x96481),f844(f844(f3(f916(x96481,a904)),x96482),f844(f844(f308(x96481),x96483),f188(f916(x96481,a904)))))),f844(f34(x96481),x96482)))
% 202.05/201.93 [10248]P51(x102481,x102482,x102483)+~P105(f844(f844(f256(x102481,x102481,a904),f844(f844(f9(x102481,f916(x102481,a904),f916(x102481,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x102481,a904),f916(x102481,a904)),x102481),f10(a904,a904,x102481)),f844(f844(f10(a904,f916(a904,a904),x102481),a325),f844(f844(f9(x102481,f916(x102481,a904),a904),f328(x102481)),x102482)))),f844(f844(f9(x102481,f916(x102481,a904),a904),f328(x102481)),x102482))),f563(x102483,x102482,x102481)))+P105(f844(f844(f328(x102481),f562(x102483,x102482,x102481)),x102482))
% 202.05/201.93 [5605]~P121(x56052)+E(x56051,f2(x56052))+E(f844(f844(f290(x56052),x56053),f844(f78(x56052),x56051)),f844(f78(x56052),f844(f844(f290(x56052),x56053),x56051)))
% 202.05/201.93 [5745]~E(x57453,f188(f916(x57451,a904)))+~E(x57452,f188(f916(x57451,a904)))+E(f844(f844(f110(f916(x57451,a904)),x57452),x57453),f188(f916(x57451,a904)))
% 202.05/201.93 [5803]~E(x58033,f2(a908))+~P105(f844(x58031,f2(a908)))+P105(f844(x58031,f844(f844(f35(a908),x58032),x58033)))
% 202.05/201.93 [5955]~P65(x59552)+E(x59551,f2(x59552))+E(f844(f844(f290(x59552),f844(f75(x59552),x59553)),f844(f75(x59552),x59551)),f844(f75(x59552),f844(f844(f290(x59552),x59553),x59551)))
% 202.05/201.93 [6124]~P105(f844(f60(x61241),x61243))+E(f844(f34(x61241),f844(f844(f308(x61241),x61242),x61243)),f844(a112,f844(f34(x61241),x61243)))+P105(f844(f844(f328(x61241),x61242),x61243))
% 202.05/201.93 [6200]~E(x62002,f2(a908))+P105(f844(x62001,f2(a908)))+~P105(f844(x62001,f844(f844(f35(a908),x62003),x62002)))
% 202.05/201.93 [6217]~P105(f844(f60(x62171),x62173))+E(f844(f34(x62171),f844(f844(f308(x62171),x62172),x62173)),f844(f34(x62171),x62173))+~P105(f844(f844(f328(x62171),x62172),x62173))
% 202.05/201.93 [6253]~P105(f844(f60(x62531),x62533))+E(f844(f34(x62531),f844(f844(f308(x62531),x62532),x62533)),f844(f844(f79(a908),f77(a908)),f844(f34(x62531),x62533)))+P105(f844(f844(f328(x62531),x62532),x62533))
% 202.05/201.93 [6260]~P60(x62601)+E(f844(f844(f35(x62601),x62602),f844(f78(x62601),x62603)),f844(f78(x62601),f844(f844(f35(x62601),x62602),x62603)))+~P105(f844(f844(f286(x62601),x62603),x62602))
% 202.05/201.93 [6372]E(f844(f844(f79(a908),x63721),f864(x63721,x63722,x63723)),x63722)+~P105(f844(x63723,f2(a908)))+P105(f844(x63723,f844(f844(f3(a908),x63722),x63721)))
% 202.05/201.93 [6373]E(f844(f844(f79(a908),x63731),f865(x63731,x63732,x63733)),x63732)+~P105(f844(x63733,f2(a908)))+P105(f844(x63733,f844(f844(f3(a908),x63732),x63731)))
% 202.05/201.93 [6397]~P60(x63971)+E(f844(f844(f35(x63971),f844(f78(x63971),x63972)),x63973),f844(f78(x63971),f844(f844(f35(x63971),x63972),x63973)))+~P105(f844(f844(f286(x63971),x63973),x63972))
% 202.05/201.93 [6421]~P4(x64211)+~P105(f844(f60(x64211),x64213))+E(f844(f844(f63(x64211,x64211,f110(x64211)),x64212),x64213),f844(f844(f110(x64211),x64212),f36(x64211,x64213)))
% 202.05/201.93 [6422]~P4(x64221)+~P105(f844(f60(x64221),x64223))+E(f844(f844(f63(x64221,x64221,f101(x64221)),x64222),x64223),f844(f844(f101(x64221),x64222),f37(x64221,x64223)))
% 202.05/201.93 [6428]~P94(x64281)+~E(f844(f103(x64281),x64282),f844(f103(x64281),x64283))+P27(x64281,f844(f103(x64281),f844(f844(f79(a1),x64282),f844(f78(a1),x64283))))
% 202.05/201.93 [6437]~P140(x64371)+E(f844(f844(f3(x64371),f844(f100(x64371),x64372)),f844(f100(x64371),x64373)),f844(f100(x64371),f844(f844(f3(a908),x64372),x64373)))+~P105(f844(f844(f234(a908),x64373),x64372))
% 202.05/201.93 [6443]~P118(x64431)+~P105(f844(f844(f286(x64431),x64432),x64433))+P105(f844(f844(f286(x64431),f844(f75(x64431),x64432)),x64433))
% 202.05/201.93 [6444]~P114(x64441)+~P105(f844(f844(f286(x64441),x64442),x64443))+P105(f844(f844(f286(x64441),f844(f78(x64441),x64442)),x64443))
% 202.05/201.93 [6528]E(f844(f844(f79(a908),x65281),f864(x65281,x65282,x65283)),x65282)+P105(f844(f844(f235(a908),x65282),x65281))+P105(f844(x65283,f844(f844(f3(a908),x65282),x65281)))
% 202.05/201.93 [6529]E(f844(f844(f79(a908),x65291),f865(x65291,x65292,x65293)),x65292)+P105(f844(f844(f235(a908),x65292),x65291))+P105(f844(x65293,f844(f844(f3(a908),x65292),x65291)))
% 202.05/201.93 [6543]~P118(x65431)+E(f844(f844(f80(x65431),f844(f75(x65431),x65432)),x65433),f844(f75(x65431),f844(f844(f80(x65431),x65432),x65433)))+~P105(f844(f844(f234(x65431),f2(x65431)),x65433))
% 202.05/201.93 [6544]~P64(x65441)+E(f844(f844(f290(x65441),f844(f75(x65441),x65442)),x65443),f844(f75(x65441),f844(f844(f290(x65441),x65442),x65443)))+~P105(f844(f844(f235(x65441),f2(x65441)),x65443))
% 202.05/201.93 [6553]~P77(x65531)+~P105(f844(f60(x65531),x65533))+E(f844(f844(f63(x65531,x65531,f110(x65531)),x65532),x65533),f12(x65531,f844(f844(f308(x65531),x65532),x65533)))
% 202.05/201.93 [6554]~P77(x65541)+~P105(f844(f60(x65541),x65543))+E(f844(f844(f63(x65541,x65541,f101(x65541)),x65542),x65543),f13(x65541,f844(f844(f308(x65541),x65542),x65543)))
% 202.05/201.93 [6555]~P108(x65551)+~P105(f844(f60(x65551),x65553))+E(f844(f844(f63(x65551,x65551,f232(x65551)),x65552),x65553),f16(x65551,f844(f844(f308(x65551),x65552),x65553)))
% 202.05/201.93 [6556]~P108(x65561)+~P105(f844(f60(x65561),x65563))+E(f844(f844(f63(x65561,x65561,f233(x65561)),x65562),x65563),f17(x65561,f844(f844(f308(x65561),x65562),x65563)))
% 202.05/201.93 [6601]E(x66011,f113(x66012))+~E(f179(x66012,x66013),f113(f909(x66012)))+~P105(f844(f844(f328(f909(x66012)),x66011),f844(f172(f909(x66012)),x66013)))
% 202.05/201.93 [6645]~P105(f844(f137(x66451),x66453))+P105(f844(f844(f328(x66451),x66452),f844(f172(x66451),x66453)))+P105(f844(f137(x66451),f844(f844(f151(x66451),x66452),x66453)))
% 202.05/201.93 [6656]~P96(x66561)+~P105(f844(f60(x66561),x66563))+E(f844(f62(x66561,f80(x66561)),f844(f844(f308(x66561),x66562),x66563)),f844(f844(f63(x66561,x66561,f80(x66561)),x66562),x66563))
% 202.05/201.93 [6678]~P108(x66781)+~P105(f844(f60(x66781),x66783))+E(f14(x66781,f232(x66781),f844(f844(f308(x66781),x66782),x66783)),f844(f844(f63(x66781,x66781,f232(x66781)),x66782),x66783))
% 202.05/201.93 [6679]~P108(x66791)+~P105(f844(f60(x66791),x66793))+E(f15(x66791,f233(x66791),f844(f844(f308(x66791),x66792),x66793)),f844(f844(f63(x66791,x66791,f233(x66791)),x66792),x66793))
% 202.05/201.93 [6681]P105(f844(x66811,f2(a908)))+~P105(f844(f844(f235(a908),x66812),x66813))+~P105(f844(x66811,f844(f844(f3(a908),x66812),x66813)))
% 202.05/201.93 [6702]~P86(x67021)+P105(f844(f844(f234(x67021),x67022),x67023))+~P105(f844(f844(f234(x67021),f844(f75(x67021),x67022)),x67023))
% 202.05/201.93 [6703]~P118(x67031)+P105(f844(f844(f235(x67031),x67032),x67033))+~P105(f844(f844(f235(x67031),f844(f75(x67031),x67032)),x67033))
% 202.05/201.93 [6704]~P118(x67041)+P105(f844(f844(f286(x67041),x67042),x67043))+~P105(f844(f844(f286(x67041),f844(f75(x67041),x67042)),x67043))
% 202.05/201.93 [6705]~P114(x67051)+P105(f844(f844(f286(x67051),x67052),x67053))+~P105(f844(f844(f286(x67051),f844(f78(x67051),x67052)),x67053))
% 202.05/201.93 [6722]E(x67221,f113(x67222))+E(f844(f141(x67222),f844(f844(f138(x67222),x67223),x67221)),f844(f844(f164(x67222),x67221),x67223))+~P105(f844(f844(f235(a908),x67223),f844(f189(f909(x67222)),x67221)))
% 202.05/201.93 [6778]~P105(f844(x67781,x67783))+P105(f844(x67781,f466(x67781,x67782)))+~P105(f844(f844(f328(a908),x67783),f844(f301(a908,f2(a908)),x67782)))
% 202.05/201.93 [6798]P105(f844(x67981,x67982))+~P105(f844(f844(f235(a908),x67982),x67983))+P105(f844(f844(f328(a908),f465(x67981,x67983)),f844(f301(a908,f2(a908)),x67983)))
% 202.05/201.93 [6813]~P124(x68131)+~P105(f844(f844(f234(x68131),f77(x68131)),x68132))+P105(f844(f844(f234(x68131),f77(x68131)),f844(f844(f243(x68131),x68132),x68133)))
% 202.05/201.93 [6815]~P124(x68151)+~P105(f844(f844(f234(x68151),f2(x68151)),x68152))+P105(f844(f844(f234(x68151),f2(x68151)),f844(f844(f243(x68151),x68152),x68153)))
% 202.05/201.93 [6817]~P124(x68171)+~P105(f844(f844(f235(x68171),f2(x68171)),x68172))+P105(f844(f844(f235(x68171),f2(x68171)),f844(f844(f243(x68171),x68172),x68173)))
% 202.05/201.93 [6842]~P105(f844(x68421,x68423))+~P105(f844(f844(f235(a908),x68423),x68422))+P105(f844(f844(f328(a908),f444(x68421,x68422)),f844(f301(a908,f2(a908)),x68422)))
% 202.05/201.93 [6850]P105(f844(f60(x68501),x68502))+~P105(f844(f60(x68501),x68503))+~P105(f844(f844(f234(f916(x68501,a904)),x68502),x68503))
% 202.05/201.93 [6857]~P105(f844(f844(f286(a908),x68571),x68572))+~P105(f844(f844(f286(a908),x68571),x68573))+P105(f844(f844(f286(a908),x68571),f844(f844(f3(a908),x68572),x68573)))
% 202.05/201.93 [6858]P105(f844(x68581,x68582))+~P105(f844(x68581,f468(x68581,x68583)))+~P105(f844(f844(f328(a908),x68582),f844(f301(a908,f2(a908)),x68583)))
% 202.05/201.93 [6871]E(x68711,f2(a908))+P105(f844(x68712,f369(x68711,x68713,x68712)))+~P105(f844(x68712,f844(f844(f35(a908),x68713),x68711)))
% 202.05/201.93 [6879]~P125(x68792)+E(x68791,f2(x68792))+~E(f844(f844(f79(x68792),f844(f844(f80(x68792),x68793),x68793)),f844(f844(f80(x68792),x68791),x68791)),f2(x68792))
% 202.05/201.93 [6880]~P125(x68802)+E(x68801,f2(x68802))+~E(f844(f844(f79(x68802),f844(f844(f80(x68802),x68801),x68801)),f844(f844(f80(x68802),x68803),x68803)),f2(x68802))
% 202.05/201.93 [6923]E(x69231,f2(a908))+~P105(f844(x69232,f370(x69231,x69233,x69232)))+P105(f844(x69232,f844(f844(f35(a908),x69233),x69231)))
% 202.05/201.93 [6928]~P108(x69281)+~P12(x69281,x69283)+P12(x69281,f844(f844(f148(x69281,x69281,f7(x69281)),x69282),x69283))
% 202.05/201.93 [6970]P105(f844(x69701,f369(x69702,x69703,x69701)))+P105(f844(x69701,f2(a908)))+~P105(f844(x69701,f844(f844(f35(a908),x69703),x69702)))
% 202.05/201.93 [6976]~P94(x69761)+E(f844(f103(x69761),x69762),f844(f103(x69761),x69763))+~P27(x69761,f844(f103(x69761),f844(f844(f79(a1),x69762),f844(f78(a1),x69763))))
% 202.05/201.93 [7039]E(x70391,f2(a1))+E(x70392,f2(a1))+~P105(f844(f48(x70392,x70392),f844(f844(f251(a1,a1),x70393),x70391)))
% 202.05/201.93 [7040]E(x70401,f77(a1))+E(x70402,f2(a1))+~P105(f844(f48(x70402,x70402),f844(f844(f251(a1,a1),x70401),x70403)))
% 202.05/201.93 [7054]P105(f844(x70541,x70542))+P105(f844(f844(f235(a908),f468(x70541,x70543)),x70543))+~P105(f844(f844(f328(a908),x70542),f844(f301(a908,f2(a908)),x70543)))
% 202.05/201.93 [7077]~P105(f844(x70771,f864(x70773,x70772,x70771)))+~P105(f844(x70771,f2(a908)))+P105(f844(x70771,f844(f844(f3(a908),x70772),x70773)))
% 202.05/201.93 [7078]~P105(f844(x70781,f865(x70783,x70782,x70781)))+~P105(f844(x70781,f2(a908)))+P105(f844(x70781,f844(f844(f3(a908),x70782),x70783)))
% 202.05/201.93 [7079]~P105(f844(x70791,f370(x70793,x70792,x70791)))+~P105(f844(x70791,f2(a908)))+P105(f844(x70791,f844(f844(f35(a908),x70792),x70793)))
% 202.05/201.93 [7099]~P105(f844(x70991,x70993))+P105(f844(f844(f235(a908),f466(x70991,x70992)),x70992))+~P105(f844(f844(f328(a908),x70993),f844(f301(a908,f2(a908)),x70992)))
% 202.05/201.93 [7100]E(f844(f844(f3(a908),f844(f844(f3(a908),x71001),x71002)),f844(f844(f3(a908),x71003),x71002)),f844(f844(f3(a908),x71001),x71003))+~P105(f844(f844(f234(a908),x71002),x71001))+~P105(f844(f844(f234(a908),x71002),x71003))
% 202.05/201.93 [7137]~P79(x71371)+~P105(f844(f844(f234(x71371),f844(f78(x71371),x71373)),x71372))+P105(f844(f844(f234(x71371),f844(f78(x71371),x71372)),x71373))
% 202.05/201.93 [7139]~P86(x71391)+~P105(f844(f844(f234(x71391),f844(f75(x71391),x71392)),x71393))+P105(f844(f844(f234(x71391),f844(f78(x71391),x71392)),x71393))
% 202.05/201.93 [7141]~P79(x71411)+~P105(f844(f844(f235(x71411),f844(f78(x71411),x71413)),x71412))+P105(f844(f844(f235(x71411),f844(f78(x71411),x71412)),x71413))
% 202.05/201.93 [7142]~P118(x71421)+~P105(f844(f844(f235(x71421),f844(f75(x71421),x71422)),x71423))+P105(f844(f844(f235(x71421),f844(f78(x71421),x71422)),x71423))
% 202.05/201.93 [7174]~P105(f844(x71743,f864(x71742,x71741,x71743)))+P105(f844(f844(f235(a908),x71741),x71742))+P105(f844(x71743,f844(f844(f3(a908),x71741),x71742)))
% 202.05/201.93 [7175]~P105(f844(x71753,f865(x71752,x71751,x71753)))+P105(f844(f844(f235(a908),x71751),x71752))+P105(f844(x71753,f844(f844(f3(a908),x71751),x71752)))
% 202.05/201.93 [7227]~E(f717(x72273,x72272,x72271),f710(x72273,x72272,x72271))+E(f844(f844(f101(f916(x72271,a904)),x72272),f36(f916(x72271,a904),x72273)),f188(f916(x72271,a904)))+P105(f844(f844(f328(f916(x72271,a904)),x72272),x72273))
% 202.05/201.93 [7235]~P105(f844(f60(x72351),x72353))+P105(f844(f60(x72351),f37(f916(x72351,a904),x72352)))+~P105(f844(f844(f328(f916(x72351,a904)),x72353),x72352))
% 202.05/201.93 [7295]~P108(x72951)+E(f844(f844(f110(f916(x72951,a904)),f844(f301(x72951,x72952),x72953)),f844(f844(f308(x72951),x72953),f188(f916(x72951,a904)))),f302(x72951,x72952,x72953))+~P105(f844(f844(f234(x72951),x72952),x72953))
% 202.05/201.93 [7296]E(x72961,f2(a908))+P105(f844(f844(f235(a908),f371(x72961,x72963,x72962)),x72961))+P105(f844(x72962,f844(f844(f35(a908),x72963),x72961)))
% 202.05/201.93 [7325]P105(f844(f844(f235(a908),f844(f189(f909(x73251)),x73252)),f772(x73253,x73251)))+~P105(f844(f60(f909(x73251)),x73253))+~P105(f844(f844(f328(f909(x73251)),x73252),x73253))
% 202.05/201.93 [7331]E(x73311,x73312)+~P105(f844(f844(f234(f916(x73313,a904)),x73311),x73312))+P105(f844(f844(f235(f916(x73313,a904)),x73311),x73312))
% 202.05/201.93 [7343]E(x73431,x73432)+~E(f844(f189(f909(x73433)),x73431),f844(f189(f909(x73433)),x73432))+P105(f844(f844(f235(a908),f610(x73433,x73431,x73432)),f844(f189(f909(x73433)),x73432)))
% 202.05/201.93 [7392]P7(x73921,x73922,x73923)+~E(f844(f263(x73921,x73921),x73923),x73922)+~E(f844(f844(f288(x73921,x73921,x73921),f844(f285(x73921,x73921),x73923)),x73923),x73923)
% 202.05/201.93 [7474]~P105(f844(x74741,f2(a908)))+P105(f844(f844(f235(a908),f371(x74743,x74742,x74741)),x74743))+P105(f844(x74741,f844(f844(f35(a908),x74742),x74743)))
% 202.05/201.93 [7483]~P108(x74831)+E(f844(f844(f110(f916(x74831,a904)),f305(x74831,x74832,x74833)),f844(f844(f308(x74831),x74833),f188(f916(x74831,a904)))),f304(x74831,x74832,x74833))+~P105(f844(f844(f235(x74831),x74832),x74833))
% 202.05/201.93 [7575]~P105(f844(f60(x75751),x75753))+P105(f844(f844(f234(a908),f844(f34(x75751),x75752)),f844(f34(x75751),x75753)))+~P105(f844(f844(f234(f916(x75751,a904)),x75752),x75753))
% 202.05/201.93 [7576]~P105(f844(f60(x75761),x75763))+P105(f844(f844(f235(a908),f844(f34(x75761),x75762)),f844(f34(x75761),x75763)))+~P105(f844(f844(f235(f916(x75761,a904)),x75762),x75763))
% 202.05/201.93 [7706]E(x77061,x77062)+~P105(f844(f844(f234(f916(x77063,a904)),x77062),x77061))+~P105(f844(f844(f234(f916(x77063,a904)),x77061),x77062))
% 202.05/201.93 [7709]~P108(x77091)+P12(x77091,x77092)+~P12(x77091,f844(f844(f148(x77091,x77091,f7(x77091)),x77093),x77092))
% 202.05/201.93 [7778]~P105(f844(f844(f235(a908),x77783),x77782))+~P105(f844(f844(f235(a908),x77783),x77781))+P105(f844(f844(f235(a908),f844(f844(f3(a908),x77781),x77782)),f844(f844(f3(a908),x77781),x77783)))
% 202.05/201.93 [7779]~P105(f844(f844(f234(a908),x77792),x77791))+~P105(f844(f844(f235(a908),x77791),x77793))+P105(f844(f844(f235(a908),f844(f844(f3(a908),x77791),x77792)),f844(f844(f3(a908),x77793),x77792)))
% 202.05/201.93 [7794]~P105(f844(f844(f235(a1),x77942),f2(a1)))+~P105(f844(f844(f234(a1),x77943),x77941))+P105(f844(f844(f234(a1),f844(f844(f35(a1),x77941),x77942)),f844(f844(f35(a1),x77943),x77942)))
% 202.05/201.93 [7811]~P105(f844(f844(f235(a908),f2(a908)),x78113))+~P105(f844(f844(f234(a908),x78113),x78112))+P105(f844(f844(f234(a908),f844(f844(f35(a908),x78111),x78112)),f844(f844(f35(a908),x78111),x78113)))
% 202.05/201.93 [7812]~P105(f844(f844(f235(a1),f2(a1)),x78122))+~P105(f844(f844(f234(a1),x78121),x78123))+P105(f844(f844(f234(a1),f844(f844(f35(a1),x78121),x78122)),f844(f844(f35(a1),x78123),x78122)))
% 202.05/201.93 [7816]~P105(f844(f844(f235(a908),f2(a908)),x78162))+~P105(f844(f844(f235(a908),x78161),x78163))+P105(f844(f844(f235(a908),f844(f844(f80(a908),x78161),x78162)),f844(f844(f80(a908),x78163),x78162)))
% 202.05/201.93 [7817]~P105(f844(f844(f235(a908),f2(a908)),x78171))+~P105(f844(f844(f235(a908),x78172),x78173))+P105(f844(f844(f235(a908),f844(f844(f80(a908),x78171),x78172)),f844(f844(f80(a908),x78171),x78173)))
% 202.05/201.93 [7818]~P105(f844(f844(f235(a1),f2(a1)),x78181))+~P105(f844(f844(f235(a1),x78182),x78183))+P105(f844(f844(f235(a1),f844(f844(f80(a1),x78181),x78182)),f844(f844(f80(a1),x78181),x78183)))
% 202.05/201.93 [7865]E(x78651,f2(a908))+E(f844(f844(f79(a908),f844(f844(f80(a908),x78651),f370(x78651,x78652,x78653))),f371(x78651,x78652,x78653)),x78652)+P105(f844(x78653,f844(f844(f35(a908),x78652),x78651)))
% 202.05/201.93 [7924]E(f844(f844(f79(a908),f844(f844(f80(a908),x79241),f370(x79241,x79242,x79243))),f371(x79241,x79242,x79243)),x79242)+~P105(f844(x79243,f2(a908)))+P105(f844(x79243,f844(f844(f35(a908),x79242),x79241)))
% 202.05/201.93 [7941]~P105(f844(f60(x79411),x79413))+P105(f844(f844(f328(x79411),f869(x79412,x79413,x79411)),x79413))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f11(x79411,a908),x79412),x79413)))
% 202.05/201.93 [7942]~P105(f844(f60(x79421),x79423))+P105(f844(f844(f328(x79421),f885(x79422,x79423,x79421)),x79423))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f11(x79421,a908),x79422),x79423)))
% 202.05/201.93 [8229]E(x82291,f188(f916(x82292,a904)))+E(x82291,f844(f844(f308(x82292),x82293),f188(f916(x82292,a904))))+~P105(f844(f844(f234(f916(x82292,a904)),x82291),f844(f844(f308(x82292),x82293),f188(f916(x82292,a904)))))
% 202.05/201.93 [8262]~P105(f844(f844(f235(a908),f77(a908)),x82623))+P105(f844(f844(f234(a908),x82621),x82622))+~P105(f844(f844(f286(a908),f844(f844(f243(a908),x82623),x82621)),f844(f844(f243(a908),x82623),x82622)))
% 202.05/201.93 [8264]~P105(f844(f844(f235(a908),f2(a908)),x82643))+P105(f844(f844(f234(a908),x82641),x82642))+~P105(f844(f844(f234(a908),f844(f844(f80(a908),x82643),x82641)),f844(f844(f80(a908),x82643),x82642)))
% 202.05/201.93 [8265]~P105(f844(f844(f235(a908),f2(a908)),x82653))+P105(f844(f844(f234(a908),x82651),x82652))+~P105(f844(f844(f234(a908),f844(f844(f80(a908),x82651),x82653)),f844(f844(f80(a908),x82652),x82653)))
% 202.05/201.93 [8267]~P105(f844(f844(f235(a908),f2(a908)),x82673))+P105(f844(f844(f235(a908),x82671),x82672))+~P105(f844(f844(f235(a908),f844(f844(f243(a908),x82673),x82671)),f844(f844(f243(a908),x82673),x82672)))
% 202.05/201.93 [8306]~E(f844(f844(f101(f916(x83061,a904)),f710(x83063,x83062,x83061)),f717(x83063,x83062,x83061)),f188(f916(x83061,a904)))+E(f844(f844(f101(f916(x83061,a904)),x83062),f36(f916(x83061,a904),x83063)),f188(f916(x83061,a904)))+P105(f844(f844(f328(f916(x83061,a904)),x83062),x83063))
% 202.05/201.93 [8320]E(x83201,f113(x83202))+~E(f844(f142(f909(x83202),f909(x83202),f134(x83202),f113(x83202)),x83203),f113(x83202))+~P105(f844(f844(f328(f909(x83202)),x83201),f844(f172(f909(x83202)),x83203)))
% 202.05/201.93 [8375]E(x83751,f188(f916(f916(x83752,a904),a904)))+P105(f844(f844(f328(f916(x83752,a904)),f379(x83753,x83751,x83752)),x83751))+P105(f844(f844(f234(f916(x83752,a904)),f37(f916(x83752,a904),x83751)),x83753))
% 202.05/201.93 [8381]~P69(x83811)+~P74(x83811)+E(f844(f844(f8(a1,x83811),f844(f844(f10(a908,x83811,a1),x83812),a104)),f844(f309(a908,a1,f100(a1)),x83813)),f844(f844(f8(a908,x83811),x83812),x83813))
% 202.05/201.93 [8382]~P69(x83821)+~P74(x83821)+E(f844(f844(f11(a1,x83821),f844(f844(f10(a908,x83821,a1),x83822),a104)),f844(f309(a908,a1,f100(a1)),x83823)),f844(f844(f11(a908,x83821),x83822),x83823))
% 202.05/201.93 [8424]~P105(f844(f60(x84241),x84243))+~P105(f844(f844(f235(a908),f2(a908)),f844(x84242,f869(x84242,x84243,x84241))))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f11(x84241,a908),x84242),x84243)))
% 202.05/201.93 [8425]~P105(f844(f60(x84251),x84253))+~P105(f844(f844(f235(a908),f2(a908)),f844(x84252,f885(x84252,x84253,x84251))))+P105(f844(f844(f235(a908),f2(a908)),f844(f844(f11(x84251,a908),x84252),x84253)))
% 202.05/201.93 [8461]~P63(x84612)+E(x84611,f77(x84612))+E(f844(f844(f290(x84612),f844(f844(f3(x84612),f844(f844(f243(x84612),x84611),x84613)),f77(x84612))),f844(f844(f3(x84612),x84611),f77(x84612))),f844(f844(f8(a908,x84612),f844(f243(x84612),x84611)),f844(f301(a908,f2(a908)),x84613)))
% 202.05/201.93 [8518]E(x85181,f2(a908))+~P105(f844(x85183,f844(f844(f35(a908),x85182),x85181)))+P105(f844(f844(f235(a908),x85182),f844(f844(f80(a908),x85181),f844(a112,f369(x85181,x85182,x85183)))))
% 202.05/201.93 [8536]P105(f844(x85361,f2(a908)))+~P105(f844(x85361,f844(f844(f35(a908),x85362),x85363)))+P105(f844(f844(f235(a908),x85362),f844(f844(f80(a908),x85363),f844(a112,f369(x85363,x85362,x85361)))))
% 202.05/201.93 [8574]E(x85741,f2(a908))+~P105(f844(x85743,f844(f844(f35(a908),x85742),x85741)))+P105(f844(f844(f234(a908),f844(f844(f80(a908),x85741),f369(x85741,x85742,x85743))),x85742))
% 202.05/201.93 [8605]P105(f844(x86051,f2(a908)))+~P105(f844(x86051,f844(f844(f35(a908),x86053),x86052)))+P105(f844(f844(f234(a908),f844(f844(f80(a908),x86052),f369(x86052,x86053,x86051))),x86053))
% 202.05/201.93 [8613]~P108(x86131)+E(f844(f844(f148(x86131,x86131,f7(x86131)),x86132),x86133),f149(x86131,x86131,f7(x86131),x86132,x86133))+P105(f844(f844(f328(x86131),x86132),f844(f172(x86131),x86133)))
% 202.05/201.93 [8647]~E(f844(x86473,f573(x86472,x86473,x86471)),f844(x86473,f575(x86472,x86473,x86471)))+~P58(x86471,f844(x86473,f574(x86472,x86473,x86471)))+P58(x86471,f844(f844(f39(x86472,f916(x86471,f916(x86471,a904))),f241(f916(x86472,a904))),x86473))
% 202.05/201.93 [8656]E(x86561,f188(f916(f916(x86562,a904),a904)))+~P105(f844(f844(f234(f916(x86562,a904)),f379(x86563,x86561,x86562)),x86563))+P105(f844(f844(f234(f916(x86562,a904)),f37(f916(x86562,a904),x86561)),x86563))
% 202.05/201.93 [8716]~P65(x87161)+~P105(f844(f844(f235(x87161),x87162),x87163))+P105(f844(f844(f235(x87161),x87162),f844(f844(f290(x87161),f844(f844(f79(x87161),x87162),x87163)),f844(f844(f79(x87161),f77(x87161)),f77(x87161)))))
% 202.05/201.93 [8774]~P105(f844(f844(x87741,f384(x87741,x87743,x87742)),f387(x87741,x87743,x87742)))+P105(f844(f844(x87741,x87742),x87743))+~P105(f844(f314(f915(a1,a1),a51),f844(f844(f251(a1,a1),x87742),x87743)))
% 202.05/201.93 [8775]~P105(f844(f844(x87751,f388(x87751,x87753,x87752)),f389(x87751,x87753,x87752)))+P105(f844(f844(x87751,x87752),x87753))+~P105(f844(f314(f915(a1,a1),a57),f844(f844(f251(a1,a1),x87752),x87753)))
% 202.05/201.93 [8776]~P105(f844(f844(x87761,f390(x87761,x87763,x87762)),f394(x87761,x87763,x87762)))+P105(f844(f844(x87761,x87762),x87763))+~P105(f844(f314(f915(a1,a1),a221),f844(f844(f251(a1,a1),x87762),x87763)))
% 202.05/201.93 [8777]~P105(f844(f844(x87771,f395(x87771,x87773,x87772)),f396(x87771,x87773,x87772)))+P105(f844(f844(x87771,x87772),x87773))+~P105(f844(f314(f915(a908,a908),a219),f844(f844(f251(a908,a908),x87772),x87773)))
% 202.05/201.93 [8778]~P105(f844(f844(x87781,f666(x87781,x87783,x87782)),f668(x87781,x87783,x87782)))+P105(f844(f844(x87781,x87782),x87783))+~P105(f844(f314(f915(a1,a1),a182),f844(f844(f251(a1,a1),x87782),x87783)))
% 202.05/201.93 [8779]~P105(f844(f844(x87791,f760(x87791,x87793,x87792)),f761(x87791,x87793,x87792)))+P105(f844(f844(x87791,x87792),x87793))+~P105(f844(f314(f915(a1,a1),a133),f844(f844(f251(a1,a1),x87792),x87793)))
% 202.05/201.93 [9052]P105(f844(f844(x90521,x90522),x90523))+P105(f844(f314(f915(a908,a908),a219),f844(f844(f251(a908,a908),f395(x90521,x90523,x90522)),f396(x90521,x90523,x90522))))+~P105(f844(f314(f915(a908,a908),a219),f844(f844(f251(a908,a908),x90522),x90523)))
% 202.05/201.93 [9053]P105(f844(f844(x90531,x90532),x90533))+P105(f844(f314(f915(a1,a1),a51),f844(f844(f251(a1,a1),f384(x90531,x90533,x90532)),f387(x90531,x90533,x90532))))+~P105(f844(f314(f915(a1,a1),a51),f844(f844(f251(a1,a1),x90532),x90533)))
% 202.05/201.93 [9054]P105(f844(f844(x90541,x90542),x90543))+P105(f844(f314(f915(a1,a1),a57),f844(f844(f251(a1,a1),f388(x90541,x90543,x90542)),f389(x90541,x90543,x90542))))+~P105(f844(f314(f915(a1,a1),a57),f844(f844(f251(a1,a1),x90542),x90543)))
% 202.05/201.93 [9055]P105(f844(f844(x90551,x90552),x90553))+P105(f844(f314(f915(a1,a1),a221),f844(f844(f251(a1,a1),f390(x90551,x90553,x90552)),f394(x90551,x90553,x90552))))+~P105(f844(f314(f915(a1,a1),a221),f844(f844(f251(a1,a1),x90552),x90553)))
% 202.05/201.93 [9056]P105(f844(f844(x90561,x90562),x90563))+P105(f844(f314(f915(a1,a1),a182),f844(f844(f251(a1,a1),f666(x90561,x90563,x90562)),f668(x90561,x90563,x90562))))+~P105(f844(f314(f915(a1,a1),a182),f844(f844(f251(a1,a1),x90562),x90563)))
% 202.05/201.93 [9057]P105(f844(f844(x90571,x90572),x90573))+P105(f844(f314(f915(a1,a1),a133),f844(f844(f251(a1,a1),f760(x90571,x90573,x90572)),f761(x90571,x90573,x90572))))+~P105(f844(f314(f915(a1,a1),a133),f844(f844(f251(a1,a1),x90572),x90573)))
% 202.05/201.93 [9388]~P105(f844(f60(x93881),x93883))+P105(f844(f844(f328(f915(f916(x93881,a904),f916(x93881,a904))),f844(f844(f251(f916(x93881,a904),f916(x93881,a904)),x93882),x93883)),f313(x93881)))+~P105(f844(f844(f235(f916(x93881,a904)),x93882),x93883))
% 202.05/201.93 [9397]P105(f844(f844(x93971,x93972),f851(x93973,x93971)))+~P23(a903,a917,f844(f844(f308(f907(a903)),f91(a903,x93973,a919,x93971)),f188(f916(f907(a903),a904))))+~P105(f844(f844(x93973,x93972),a843))
% 202.05/201.93 [9462]~P58(x94621,f844(x94623,f574(x94622,x94623,x94621)))+P58(x94621,f844(f844(f39(x94622,f916(x94621,f916(x94621,a904))),f241(f916(x94622,a904))),x94623))+~E(f844(f844(f101(f916(x94621,a904)),f248(x94621,x94621,f844(x94623,f573(x94622,x94623,x94621)))),f249(x94621,x94621,f844(x94623,f575(x94622,x94623,x94621)))),f188(f916(x94621,a904)))
% 202.05/201.93 [9661]P51(x96611,x96612,x96613)+P105(f844(f844(f328(f915(x96611,x96611)),f563(x96613,x96612,x96611)),x96613))+~P105(f844(f844(f328(f915(x96611,x96611)),f844(f844(f251(x96611,x96611),f562(x96613,x96612,x96611)),f562(x96613,x96612,x96611))),x96613))
% 202.05/201.93 [10251]P51(x102511,x102512,x102513)+~P105(f844(f844(f256(x102511,x102511,a904),f844(f844(f9(x102511,f916(x102511,a904),f916(x102511,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x102511,a904),f916(x102511,a904)),x102511),f10(a904,a904,x102511)),f844(f844(f10(a904,f916(a904,a904),x102511),a325),f844(f844(f9(x102511,f916(x102511,a904),a904),f328(x102511)),x102512)))),f844(f844(f9(x102511,f916(x102511,a904),a904),f328(x102511)),x102512))),f563(x102513,x102512,x102511)))+~P105(f844(f844(f328(f915(x102511,x102511)),f844(f844(f251(x102511,x102511),f562(x102513,x102512,x102511)),f562(x102513,x102512,x102511))),x102513))
% 202.05/201.93 [5785]~P59(x57852)+E(x57851,f2(x57852))+E(f844(f844(f35(x57852),f844(f844(f80(x57852),x57853),x57851)),x57851),x57853)
% 202.05/201.93 [5786]~P59(x57862)+E(x57861,f2(x57862))+E(f844(f844(f35(x57862),f844(f844(f80(x57862),x57861),x57863)),x57861),x57863)
% 202.05/201.93 [6600]~P69(x66001)+~E(f844(x66002,f2(a908)),f2(x66001))+E(f844(f844(f8(a908,x66001),x66002),f844(f301(a908,f844(a112,f2(a908))),x66003)),f844(f844(f8(a908,x66001),x66002),f844(f301(a908,f2(a908)),x66003)))
% 202.05/201.93 [6735]~P59(x67352)+E(x67351,f2(x67352))+E(f844(f844(f35(x67352),f844(f844(f79(x67352),x67353),x67351)),x67351),f844(f844(f79(x67352),f844(f844(f35(x67352),x67353),x67351)),f77(x67352)))
% 202.05/201.93 [6736]~P59(x67362)+E(x67361,f2(x67362))+E(f844(f844(f35(x67362),f844(f844(f79(x67362),x67361),x67363)),x67361),f844(f844(f79(x67362),f844(f844(f35(x67362),x67363),x67361)),f77(x67362)))
% 202.05/201.93 [6959]~P105(f844(x69593,f2(a1)))+P105(f844(f844(f234(a908),x69591),x69592))+P105(f844(x69593,f844(f100(a1),f844(f844(f3(a908),x69592),x69591))))
% 202.05/201.93 [7060]P105(f844(f844(f235(a908),x70602),x70601))+P105(f844(f844(f234(a908),x70601),x70602))+P105(f844(x70603,f844(f100(a1),f844(f844(f3(a908),x70602),x70601))))
% 202.05/201.93 [7135]E(f844(f844(f79(a908),f844(f103(a908),x71351)),f844(f844(f79(a908),f844(f103(a908),x71352)),x71353)),f844(f844(f79(a908),f844(f103(a908),x71351)),x71353))+P105(f844(a193,f844(f103(a1),x71351)))+~P105(f844(a193,f844(f103(a1),x71352)))
% 202.05/201.93 [7214]~E(x72142,f844(f844(f35(a908),x72143),x72141))+~P105(f844(f844(f235(a908),f2(a908)),x72141))+P105(f844(f844(f234(a908),f844(f844(f80(a908),x72141),x72142)),x72143))
% 202.05/201.93 [7328]~P105(f844(f60(x73281),x73283))+~P105(f844(f60(x73281),x73282))+P105(f844(f60(x73281),f844(f844(f110(f916(x73281,a904)),x73282),x73283)))
% 202.05/201.93 [7377]~P37(x73771,x73773)+~P37(x73771,x73772)+P37(x73771,f844(f844(f101(f916(f915(x73771,x73771),a904)),x73772),x73773))
% 202.05/201.93 [7378]~P50(x73781,x73783)+~P50(x73781,x73782)+P50(x73781,f844(f844(f110(f916(f915(x73781,x73781),a904)),x73782),x73783))
% 202.05/201.93 [7379]~P50(x73791,x73793)+~P50(x73791,x73792)+P50(x73791,f844(f844(f101(f916(f915(x73791,x73791),a904)),x73792),x73793))
% 202.05/201.93 [7624]~P108(x76241)+~P105(f844(f60(x76241),x76242))+E(f139(x76241,f844(f844(f3(f916(x76241,a904)),x76242),f844(f844(f308(x76241),x76243),f188(f916(x76241,a904))))),f170(x76241,x76243,f139(x76241,x76242)))
% 202.05/201.93 [7685]P105(f844(x76851,f2(a1)))+~P105(f844(f844(f235(a908),x76852),x76853))+~P105(f844(x76851,f844(f100(a1),f844(f844(f3(a908),x76852),x76853))))
% 202.05/201.93 [7703]~P105(f844(f60(x77031),x77032))+E(f844(f34(x77031),f844(f844(f3(f916(x77031,a904)),x77032),f844(f844(f308(x77031),x77033),f188(f916(x77031,a904))))),f844(f34(x77031),x77032))+P105(f844(f844(f328(x77031),x77033),x77032))
% 202.05/201.93 [7833]~P124(x78331)+~P105(f844(f844(f235(x78331),f77(x78331)),x78332))+P105(f844(f844(f235(x78331),f77(x78331)),f844(f844(f80(x78331),x78332),f844(f844(f243(x78331),x78332),x78333))))
% 202.05/201.93 [7875]~P105(f844(f60(x78751),x78753))+E(f844(f844(f3(a908),f844(f34(x78751),x78752)),f844(f34(x78751),x78753)),f844(f34(x78751),f844(f844(f3(f916(x78751,a904)),x78752),x78753)))+~P105(f844(f844(f234(f916(x78751,a904)),x78753),x78752))
% 202.05/201.93 [7932]~P105(f844(f844(f234(a908),x79322),x79323))+~P105(f844(f844(f234(a908),x79321),f844(f844(f3(a908),x79323),x79322)))+P105(f844(f844(f234(a908),f844(f844(f79(a908),x79321),x79322)),x79323))
% 202.05/201.93 [7983]P105(f844(f60(x79831),x79832))+~P105(f844(f60(x79831),x79833))+~P105(f844(f60(x79831),f844(f844(f3(f916(x79831,a904)),x79832),x79833)))
% 202.05/201.93 [7989]~P105(f844(f60(x79891),x79892))+E(f844(f34(x79891),f844(f844(f3(f916(x79891,a904)),x79892),f844(f844(f308(x79891),x79893),f188(f916(x79891,a904))))),f844(f844(f3(a908),f844(f34(x79891),x79892)),f77(a908)))+~P105(f844(f844(f328(x79891),x79893),x79892))
% 202.05/201.93 [8064]P58(x80641,x80642)+~P58(x80641,x80643)+~P105(f844(f844(f234(f916(x80641,f916(x80641,a904))),x80642),x80643))
% 202.05/201.93 [8104]~P105(f844(f844(f234(a908),x81043),x81042))+P105(f844(f844(f234(a908),x81041),f844(f844(f3(a908),x81042),x81043)))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),x81041),x81043)),x81042))
% 202.05/201.93 [8122]P36(x81221,x81222)+~P36(x81221,x81223)+~P105(f844(f844(f234(f916(f915(x81221,x81221),a904)),x81222),x81223))
% 202.05/201.93 [8123]P56(x81231,x81232)+~P56(x81231,x81233)+~P105(f844(f844(f234(f916(f915(x81231,x81231),a904)),x81232),x81233))
% 202.05/201.93 [8124]P38(x81241,x81242)+~P38(x81241,x81243)+~P105(f844(f844(f234(f916(f915(x81241,x81241),a904)),x81242),x81243))
% 202.05/201.93 [8353]~P124(x83531)+~P105(f844(f844(f235(x83531),f77(x83531)),x83532))+P105(f844(f844(f235(x83531),f844(f844(f243(x83531),x83532),x83533)),f844(f844(f80(x83531),x83532),f844(f844(f243(x83531),x83532),x83533))))
% 202.05/201.93 [8443]~P105(f844(x84431,f2(a1)))+~P105(f844(x84431,f844(f844(f3(a1),f844(f100(a1),x84432)),f844(f100(a1),x84433))))+P105(f844(x84431,f844(f100(a1),f844(f844(f3(a908),x84432),x84433))))
% 202.05/201.93 [8458]~P105(f844(f844(f234(a908),x84583),x84582))+P105(f844(x84581,f844(f844(f3(a1),f844(f100(a1),x84582)),f844(f100(a1),x84583))))+~P105(f844(x84581,f844(f100(a1),f844(f844(f3(a908),x84582),x84583))))
% 202.05/201.93 [8477]P105(f844(f844(f235(a908),x84771),x84772))+~P105(f844(x84773,f844(f844(f3(a1),f844(f100(a1),x84771)),f844(f100(a1),x84772))))+P105(f844(x84773,f844(f100(a1),f844(f844(f3(a908),x84771),x84772))))
% 202.05/201.93 [8529]~P125(x85292)+E(x85291,f2(x85292))+P105(f844(f844(f235(x85292),f2(x85292)),f844(f844(f79(x85292),f844(f844(f80(x85292),x85293),x85293)),f844(f844(f80(x85292),x85291),x85291))))
% 202.05/201.93 [8530]~P125(x85302)+E(x85301,f2(x85302))+P105(f844(f844(f235(x85302),f2(x85302)),f844(f844(f79(x85302),f844(f844(f80(x85302),x85301),x85301)),f844(f844(f80(x85302),x85303),x85303))))
% 202.05/201.93 [8630]~P105(f844(f844(f235(a908),f2(a908)),x86301))+~P105(f844(f844(f235(a1),x86302),x86303))+P105(f844(f844(f235(a1),f844(f844(f80(a1),f844(f100(a1),x86301)),x86302)),f844(f844(f80(a1),f844(f100(a1),x86301)),x86303)))
% 202.05/201.93 [8685]E(f844(f844(f101(f916(x86851,a904)),x86852),f36(f916(x86851,a904),x86853)),f188(f916(x86851,a904)))+P105(f844(f844(f328(f916(x86851,a904)),x86852),x86853))+P105(f844(f844(f328(f916(x86851,a904)),f710(x86853,x86852,x86851)),f844(f844(f308(f916(x86851,a904)),x86852),x86853)))
% 202.05/201.93 [8686]E(f844(f844(f101(f916(x86861,a904)),x86862),f36(f916(x86861,a904),x86863)),f188(f916(x86861,a904)))+P105(f844(f844(f328(f916(x86861,a904)),x86862),x86863))+P105(f844(f844(f328(f916(x86861,a904)),f717(x86863,x86862,x86861)),f844(f844(f308(f916(x86861,a904)),x86862),x86863)))
% 202.05/201.93 [8715]E(x87151,x87152)+~E(f844(f189(f909(x87153)),x87151),f844(f189(f909(x87153)),x87152))+P105(f844(f844(f328(f915(x87153,x87153)),f651(x87153,x87151,x87152)),f844(f172(f915(x87153,x87153)),f844(f844(f181(x87153,x87153),x87152),x87151))))
% 202.05/201.93 [8965]E(f306(x89651,x89652),f306(x89651,x89653))+~P105(f844(f844(f234(f916(f915(x89651,x89651),a904)),x89653),f306(x89651,x89652)))+~P105(f844(f844(f234(f916(f915(x89651,x89651),a904)),x89652),x89653))
% 202.05/201.93 [9032]~P51(x90321,f241(f916(x90321,a904)),x90323)+P105(f844(f844(f234(f916(f915(f909(x90321),f909(x90321)),a904)),f157(x90321,x90322)),f158(x90321,x90323)))+~P105(f844(f844(f234(f916(f915(x90321,x90321),a904)),x90322),x90323))
% 202.05/201.93 [9227]P36(x92271,x92272)+~P105(f844(f844(f328(x92271),x92273),f600(x92272,x92271)))+P105(f844(f844(f328(f915(x92271,x92271)),f844(f844(f251(x92271,x92271),f602(x92272,x92271,x92273)),x92273)),x92272))
% 202.05/201.93 [9262]~P105(f844(f60(x92621),x92622))+P105(f844(f60(f916(x92621,a904)),f844(f844(f59(x92621),x92622),x92623)))+~P105(f844(f844(f234(f916(f915(x92621,x92621),a904)),x92623),f844(f844(f253(x92621,x92621),x92622),f844(f18(f916(x92621,a904),x92621),x92622))))
% 202.05/201.93 [9298]P51(x92981,x92982,x92983)+P105(f844(f844(f328(x92981),f531(x92983,x92982,x92981)),x92982))+~P105(f844(f844(f234(f916(f915(x92981,x92981),a904)),x92983),f844(f844(f253(x92981,x92981),x92982),f844(f18(f916(x92981,a904),x92981),x92982))))
% 202.05/201.93 [9299]P51(x92991,x92992,x92993)+P105(f844(f844(f328(x92991),f538(x92992,x92993,x92991)),x92992))+~P105(f844(f844(f234(f916(f915(x92991,x92991),a904)),x92993),f844(f844(f253(x92991,x92991),x92992),f844(f18(f916(x92991,a904),x92991),x92992))))
% 202.05/201.93 [9331]~P65(x93311)+~P105(f844(f844(f235(x93311),x93312),x93313))+P105(f844(f844(f235(x93311),f844(f844(f290(x93311),f844(f844(f79(x93311),x93312),x93313)),f844(f844(f79(x93311),f77(x93311)),f77(x93311)))),x93313))
% 202.05/201.93 [9361]~P64(x93611)+P105(f844(f844(f234(x93611),x93612),x93613))+~P105(f844(f844(f234(x93611),f844(f844(f80(x93611),f880(x93613,x93612,x93611)),x93612)),x93613))
% 202.05/201.93 [9497]E(f844(f189(f909(f909(x94971))),f844(f136(f909(x94971),f844(f844(f10(a908,a904,f909(x94971)),f844(f235(a908),x94972)),f189(f909(x94971)))),f179(x94971,x94973))),f844(f189(f909(x94971)),f844(f844(f164(f909(x94971)),x94973),x94972)))+~P12(a908,f844(f168(a908),f844(f844(f154(f909(x94971),a908),f189(f909(x94971))),x94973)))+~P105(f844(f844(f235(a908),x94972),f844(f189(f909(f909(x94971))),x94973)))
% 202.05/201.93 [9609]~P36(x96091,x96092)+P26(x96091,f844(f844(f251(f916(f915(x96091,x96091),a904),f916(f915(x96091,x96091),a904)),x96092),x96093))+~P105(f844(f844(f234(f916(f915(x96091,x96091),a904)),f844(f844(f288(x96091,x96091,x96091),x96092),x96093)),x96092))
% 202.05/201.93 [9614]E(f844(f844(f154(f909(x96141),x96141),f844(f844(f9(f909(x96141),a908,x96141),f164(x96141)),x96142)),f844(f136(f909(x96141),f844(f844(f10(a908,a904,f909(x96141)),f844(f235(a908),x96142)),f189(f909(x96141)))),f179(x96141,x96143))),f844(f844(f164(f909(x96141)),x96143),x96142))+~P12(a908,f844(f168(a908),f844(f844(f154(f909(x96141),a908),f189(f909(x96141))),x96143)))+~P105(f844(f844(f235(a908),x96142),f844(f189(f909(f909(x96141))),x96143)))
% 202.05/201.93 [9749]P51(x97491,x97492,x97493)+~P105(f844(f844(f328(f915(x97491,x97491)),f844(f844(f251(x97491,x97491),f531(x97493,x97492,x97491)),f531(x97493,x97492,x97491))),x97493))+~P105(f844(f844(f234(f916(f915(x97491,x97491),a904)),x97493),f844(f844(f253(x97491,x97491),x97492),f844(f18(f916(x97491,a904),x97491),x97492))))
% 202.05/201.93 [9750]P51(x97501,x97502,x97503)+~P105(f844(f844(f328(f915(x97501,x97501)),f844(f844(f251(x97501,x97501),f538(x97502,x97503,x97501)),f538(x97502,x97503,x97501))),x97503))+~P105(f844(f844(f234(f916(f915(x97501,x97501),a904)),x97503),f844(f844(f253(x97501,x97501),x97502),f844(f18(f916(x97501,a904),x97501),x97502))))
% 202.05/201.93 [9919]~P140(x99191)+~P123(x99191)+E(f844(f844(f290(x99191),f844(f102(x99191),f844(f844(f72(f915(a1,a1),a1,x99192,f250(a1,a1)),f212(x99192)),x99193))),f844(f102(x99191),f844(f844(f72(f915(a1,a1),a1,x99192,f255(a1,a1)),f212(x99192)),x99193))),f222(x99192,x99191,x99193))
% 202.05/201.93 [10124]~E(x101243,f2(a908))+~E(f844(f189(f909(x101241)),f844(f844(f164(f909(x101241)),x101242),f700(x101243,x101241,x101242))),x101243)+E(f844(f844(f154(a908,f909(x101241)),f844(f844(f9(a908,f909(a908),f909(x101241)),f844(f844(f10(f916(a908,x101241),f916(f909(a908),f909(x101241)),a908),f154(a908,x101241)),f844(f9(a908,a908,x101241),f844(f844(f10(f909(x101241),f916(a908,x101241),a908),f164(x101241)),f844(f164(f909(x101241)),x101242))))),f139(a908,f844(f301(a908,f2(a908)),f844(f189(f909(f909(x101241))),x101242))))),f139(a908,f844(f301(a908,f2(a908)),x101243))),f179(x101241,x101242))
% 202.05/201.93 [10125]E(x101251,f113(f909(x101252)))+~E(f844(f189(f909(x101252)),f844(f844(f164(f909(x101252)),x101251),f700(x101253,x101252,x101251))),x101253)+E(f844(f844(f154(a908,f909(x101252)),f844(f844(f9(a908,f909(a908),f909(x101252)),f844(f844(f10(f916(a908,x101252),f916(f909(a908),f909(x101252)),a908),f154(a908,x101252)),f844(f9(a908,a908,x101252),f844(f844(f10(f909(x101252),f916(a908,x101252),a908),f164(x101252)),f844(f164(f909(x101252)),x101251))))),f139(a908,f844(f301(a908,f2(a908)),f844(f189(f909(f909(x101252))),x101251))))),f139(a908,f844(f301(a908,f2(a908)),x101253))),f179(x101252,x101251))
% 202.05/201.93 [10126]~E(x101263,f2(a908))+E(f844(f844(f154(a908,f909(x101261)),f844(f844(f9(a908,f909(a908),f909(x101261)),f844(f844(f10(f916(a908,x101261),f916(f909(a908),f909(x101261)),a908),f154(a908,x101261)),f844(f9(a908,a908,x101261),f844(f844(f10(f909(x101261),f916(a908,x101261),a908),f164(x101261)),f844(f164(f909(x101261)),x101262))))),f139(a908,f844(f301(a908,f2(a908)),f844(f189(f909(f909(x101261))),x101262))))),f139(a908,f844(f301(a908,f2(a908)),x101263))),f179(x101261,x101262))+P105(f844(f844(f235(a908),f700(x101263,x101261,x101262)),f844(f189(f909(f909(x101261))),x101262)))
% 202.05/201.93 [10127]E(x101271,f113(f909(x101272)))+E(f844(f844(f154(a908,f909(x101272)),f844(f844(f9(a908,f909(a908),f909(x101272)),f844(f844(f10(f916(a908,x101272),f916(f909(a908),f909(x101272)),a908),f154(a908,x101272)),f844(f9(a908,a908,x101272),f844(f844(f10(f909(x101272),f916(a908,x101272),a908),f164(x101272)),f844(f164(f909(x101272)),x101271))))),f139(a908,f844(f301(a908,f2(a908)),f844(f189(f909(f909(x101272))),x101271))))),f139(a908,f844(f301(a908,f2(a908)),x101273))),f179(x101272,x101271))+P105(f844(f844(f235(a908),f700(x101273,x101272,x101271)),f844(f189(f909(f909(x101272))),x101271)))
% 202.05/201.93 [7872]E(f844(f844(f79(a908),f844(f103(a908),x78721)),f844(f844(f79(a908),f844(f103(a908),x78722)),x78723)),f844(f844(f79(a908),f844(f103(a908),f844(f844(f79(a1),x78721),x78722))),x78723))+P105(f844(a193,f844(f103(a1),x78721)))+P105(f844(a193,f844(f103(a1),x78722)))
% 202.05/201.93 [8622]~P105(f844(f60(x86221),x86222))+~P105(f844(f844(f328(x86221),x86223),x86222))+E(f844(a112,f844(f34(x86221),f844(f844(f3(f916(x86221,a904)),x86222),f844(f844(f308(x86221),x86223),f188(f916(x86221,a904)))))),f844(f34(x86221),x86222))
% 202.05/201.93 [8637]~P105(f844(f60(x86371),x86372))+~P105(f844(f844(f328(x86371),x86373),x86372))+E(f844(f844(f79(a908),f77(a908)),f844(f34(x86371),f844(f844(f3(f916(x86371,a904)),x86372),f844(f844(f308(x86371),x86373),f188(f916(x86371,a904)))))),f844(f34(x86371),x86372))
% 202.05/201.93 [8724]~P108(x87241)+~P105(f844(f60(x87241),x87243))+E(f844(f844(f148(x87241,x87241,f7(x87241)),x87242),f139(x87241,f844(f844(f3(f916(x87241,a904)),x87243),f844(f844(f308(x87241),x87242),f188(f916(x87241,a904)))))),f139(x87241,f844(f844(f308(x87241),x87242),x87243)))
% 202.05/201.93 [8890]~P105(f844(f60(x88901),x88903))+~P105(f844(f60(x88901),x88902))+E(f844(f844(f79(a908),f844(f34(x88901),f844(f844(f110(f916(x88901,a904)),x88902),x88903))),f844(f34(x88901),f844(f844(f101(f916(x88901,a904)),x88902),x88903))),f844(f844(f79(a908),f844(f34(x88901),x88902)),f844(f34(x88901),x88903)))
% 202.05/201.93 [10072]~P24(x100721,f916(f916(x100721,a904),a904),f844(f844(f9(x100721,f916(f915(x100721,x100721),a904),f916(f916(x100721,a904),a904)),f844(f844(f10(f916(x100721,a904),f916(f916(f915(x100721,x100721),a904),f916(f916(x100721,a904),a904)),x100721),f59(x100721)),f844(f844(f9(x100721,f916(x100721,a904),f916(x100721,a904)),f308(x100721)),f188(f916(x100721,a904))))),x100723),x100722)+~P105(f844(f60(x100721),x100722))+E(f844(f34(f916(x100721,a904)),f844(f844(f59(x100721),x100722),x100723)),f844(f34(x100721),x100722))
% 202.05/201.93 [8136]~P94(x81361)+P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x81363)))+E(f844(f844(f243(x81361),x81362),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),x81363),x81363)),a97))),f77(x81361))
% 202.05/201.93 [9594]~P94(x95941)+~P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),x95943)))+E(f844(f844(f243(x95941),x95942),f844(f103(a908),f844(f844(f3(a1),f844(f844(f79(a1),x95943),x95943)),a97))),f844(f844(f85(x95941,x95941),f844(f844(f243(x95941),x95942),f844(f103(a908),x95943))),f844(f844(f20(x95941,x95941,x95941),f844(f844(f10(x95941,f916(x95941,x95941),x95941),f80(x95941)),f844(f80(x95941),x95942))),f7(x95941))))
% 202.05/201.93 [9981]~P105(f844(f137(x99811),x99813))+~P105(f844(f844(f328(x99811),x99812),f844(f172(x99811),x99813)))+E(f844(f844(f138(x99811),f844(f189(f909(x99811)),f177(x99811,f844(f844(f10(a904,a904,x99811),a321),f844(f844(f9(x99811,x99811,a904),a324),x99812)),f844(f168(x99811),x99813)))),f844(f168(x99811),x99813)),f844(f844(f151(x99811),x99812),f844(f168(x99811),f177(x99811,f844(f844(f10(a904,a904,x99811),a321),f844(f844(f9(x99811,x99811,a904),a324),x99812)),x99813))))
% 202.05/201.93 [10042]P105(f844(f844(f234(f916(f915(x100421,x100421),a904)),f306(x100421,x100422)),x100423))+~P105(f844(f844(f234(f916(f915(x100421,x100421),a904)),f306(x100421,f188(f916(f915(x100421,x100421),a904)))),x100423))+~P105(f844(f844(f234(f916(f915(x100421,x100421),a904)),f844(f844(f288(x100421,x100421,x100421),f844(f844(f101(f916(f915(x100421,x100421),a904)),f306(x100421,x100422)),x100423)),x100422)),x100423))
% 202.05/201.93 [9899]~P105(f844(f60(x98991),f844(f261(x98991),x98993)))+~P105(f844(f60(x98991),f844(f261(x98991),x98992)))+P105(f844(f60(x98991),f844(f261(x98991),f844(f844(f20(x98991,a904,a904),f844(f844(f10(a904,f916(a904,a904),x98991),a326),x98992)),x98993))))
% 202.05/201.93 [10188]P105(f844(f844(f234(f916(f915(x101881,x101881),a904)),f844(f844(f288(x101881,x101881,x101881),x101882),f306(x101881,x101882))),x101883))+~P105(f844(f844(f234(f916(f915(x101881,x101881),a904)),x101882),x101883))+~P105(f844(f844(f234(f916(f915(x101881,x101881),a904)),f844(f844(f288(x101881,x101881,x101881),f844(f844(f101(f916(f915(x101881,x101881),a904)),f844(f844(f288(x101881,x101881,x101881),x101882),f306(x101881,x101882))),x101883)),x101882)),x101883))
% 202.05/201.93 [10140]~P118(x101402)+E(x101401,f2(x101402))+~E(f844(f844(f79(x101402),f844(f844(f243(x101402),x101403),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x101402),x101401),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f2(x101402))
% 202.05/201.93 [10141]~P118(x101412)+E(x101411,f2(x101412))+~E(f844(f844(f79(x101412),f844(f844(f243(x101412),x101411),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x101412),x101413),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f2(x101412))
% 202.05/201.93 [10146]~P105(f844(f137(x101461),x101463))+~P105(f844(f844(f328(x101461),x101462),f844(f172(x101461),x101463)))+E(f844(f168(x101461),f844(f171(x101461),f844(f844(f138(x101461),f844(f189(f909(x101461)),f177(x101461,f844(f844(f10(a904,a904,x101461),a321),f844(f844(f9(x101461,x101461,a904),a324),x101462)),x101463))),x101463))),f177(x101461,f844(f844(f10(a904,a904,x101461),a321),f844(f844(f9(x101461,x101461,a904),a324),x101462)),f844(f168(x101461),x101463)))
% 202.05/201.93 [10233]~P118(x102332)+E(x102331,f2(x102332))+P105(f844(f844(f235(x102332),f2(x102332)),f844(f844(f79(x102332),f844(f844(f243(x102332),x102333),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x102332),x102331),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))))
% 202.05/201.93 [10234]~P118(x102342)+E(x102341,f2(x102342))+P105(f844(f844(f235(x102342),f2(x102342)),f844(f844(f79(x102342),f844(f844(f243(x102342),x102341),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x102342),x102343),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))))
% 202.05/201.93 [10289]~P118(x102891)+P105(f844(f844(f234(x102891),f2(x102891)),x102892))+~P105(f844(f844(f234(x102891),f2(x102891)),f844(f844(f243(x102891),x102892),f844(a112,f844(f844(f80(a908),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),x102893)))))
% 202.05/201.93 [5618]~P23(x56181,x56184,x56183)+P23(x56181,x56182,x56183)+~P23(x56181,x56182,x56184)
% 202.05/201.93 [5080]~E(x50802,f89(x50803,x50801))+P105(f844(x50801,x50802))+~P105(f844(x50801,x50804))
% 202.05/201.93 [5326]E(f67(x53263,x53262,x53264),x53262)+E(x53261,f727(x53262,x53263,x53264))+~P105(f844(x53264,x53261))
% 202.05/201.93 [6657]E(f67(x66571,x66572,x66573),f84(x66571,x66573))+~E(f763(x66572,x66571,x66573,x66574),x66574)+~P105(f844(x66573,x66574))
% 202.05/201.93 [6872]~P36(x68722,x68724)+~P36(x68721,x68723)+P36(f915(x68721,x68722),f318(x68721,x68722,x68723,x68724))
% 202.05/201.93 [6873]~P37(x68732,x68734)+~P37(x68731,x68733)+P37(f915(x68731,x68732),f318(x68731,x68732,x68733,x68734))
% 202.05/201.93 [5266]~P6(x52664,x52661)+~E(f844(x52661,x52662),f844(x52661,x52663))+P105(f844(f844(x52661,x52662),x52663))
% 202.05/201.93 [5432]~P6(x54324,x54321)+E(f844(x54321,x54322),f844(x54321,x54323))+~P105(f844(f844(x54321,x54322),x54323))
% 202.05/201.93 [5433]~P14(x54334,x54331)+E(f844(x54331,x54332),f844(x54331,x54333))+~P105(f844(f844(x54331,x54332),x54333))
% 202.05/201.93 [5524]~P17(x55243,x55244,x55241)+E(f844(x55241,x55242),f844(f62(x55243,x55244),x55242))+~P105(f844(f60(x55243),x55242))
% 202.05/201.93 [5525]~P8(x55253,x55254,x55251)+E(f844(x55251,x55252),f844(f62(x55253,x55254),x55252))+~P105(f844(f60(x55253),x55252))
% 202.05/201.93 [5651]~P6(x56514,x56511)+~P105(f844(f844(x56511,x56513),x56512))+P105(f844(f844(x56511,x56512),x56513))
% 202.05/201.93 [5652]~P49(x56524,x56521)+~P105(f844(f844(x56521,x56523),x56522))+P105(f844(f844(x56521,x56522),x56523))
% 202.05/201.93 [5653]~P14(x56534,x56531)+~P105(f844(f844(x56531,x56533),x56532))+P105(f844(f844(x56531,x56532),x56533))
% 202.05/201.93 [5654]~P14(x56543,x56541)+P105(f844(f844(x56541,x56542),x56542))+~P105(f844(f844(x56541,x56544),x56542))
% 202.05/201.93 [5655]~P14(x56553,x56551)+P105(f844(f844(x56551,x56552),x56552))+~P105(f844(f844(x56551,x56552),x56554))
% 202.05/201.93 [5726]E(x57261,x57262)+~E(f844(f250(x57263,x57264),x57261),f844(f250(x57263,x57264),x57262))+~E(f844(f255(x57263,x57264),x57261),f844(f255(x57263,x57264),x57262))
% 202.05/201.93 [5754]E(x57541,x57542)+~P105(f844(f47(x57543,x57544),x57542))+~P105(f844(f47(x57543,x57544),x57541))
% 202.05/201.93 [5954]~P69(x59542)+E(f231(x59541,x59542,x59543,x59544),f2(x59542))+P105(f844(f60(x59541),x59544))
% 202.05/201.93 [6002]~P6(x60023,x60022)+~P105(f844(x60021,x60024))+P105(f844(x60021,f807(x60021,x60022,x60023)))
% 202.05/201.93 [6094]~P105(f844(f314(x60941,x60942),x60944))+P105(f844(f314(x60941,x60942),x60943))+~P105(f844(f844(x60942,x60943),x60944))
% 202.05/201.93 [6906]~P28(x69061,x69063,x69064)+P105(f844(x69061,x69062))+~P105(f844(f844(f328(a1),x69062),f302(a1,x69063,x69064)))
% 202.05/201.93 [7096]~P6(x70961,x70963)+~P105(f844(x70962,x70964))+P105(f844(f844(f328(x70961),f807(x70962,x70963,x70961)),f269(x70961,x70963)))
% 202.05/201.93 [7978]E(x79781,f2(a908))+~P105(f844(x79782,x79783))+P105(f844(x79782,f758(x79782,x79783,x79781,x79784)))
% 202.05/201.93 [8059]~P108(x80592)+~P105(f844(f137(x80591),x80594))+P105(f844(f137(x80591),f150(x80591,x80592,x80593,x80594)))
% 202.05/201.93 [8103]E(f67(x81031,x81032,x81033),f84(x81031,x81033))+~P105(f844(x81033,x81034))+P105(f844(x81033,f763(x81032,x81031,x81033,x81034)))
% 202.05/201.93 [8280]~P105(f844(f60(x82802),x82804))+~P105(f844(f60(x82801),x82803))+P105(f844(f60(f914(x82801,x82802)),f312(x82801,x82802,x82803,x82804)))
% 202.05/201.93 [8281]~P105(f844(f137(x82812),x82814))+~P105(f844(f137(x82811),x82813))+P105(f844(f137(f915(x82811,x82812)),f58(x82811,x82812,x82813,x82814)))
% 202.05/201.93 [8284]P105(f844(f844(f328(f909(x82841)),f844(f844(f134(x82841),x82842),x82843)),f161(x82841,x82844)))+~P105(f844(f844(f328(f909(x82841)),x82843),f161(x82841,x82844)))+~P105(f844(f844(f328(f909(x82841)),x82842),f161(x82841,x82844)))
% 202.05/201.93 [8560]E(x85601,f2(a908))+P105(f844(x85602,x85603))+~P105(f844(x85602,f759(x85602,x85603,x85601,x85604)))
% 202.05/201.93 [8597]~P108(x85973)+~P105(f844(f137(x85971),f150(x85971,x85973,x85974,x85972)))+P105(f844(f137(x85971),x85972))
% 202.05/201.93 [8879]~P105(f844(f844(f328(f915(x88791,x88791)),f844(f844(f251(x88791,x88791),x88792),x88794)),f306(x88791,x88793)))+P105(f844(f844(f328(x88791),x88792),f315(x88791,x88793)))+~P105(f844(f844(f328(x88791),x88794),f315(x88791,x88793)))
% 202.05/201.93 [5250]~P69(x52502)+E(f844(f844(f8(x52501,x52502),x52503),x52504),f2(x52502))+P105(f844(f60(x52501),x52504))
% 202.05/201.93 [5253]~P74(x52532)+E(f844(f844(f11(x52531,x52532),x52533),x52534),f77(x52532))+P105(f844(f60(x52531),x52534))
% 202.05/201.93 [5395]~P70(x53953)+E(x53951,x53952)+~E(f844(f844(f79(x53953),x53954),x53951),f844(f844(f79(x53953),x53954),x53952))
% 202.05/201.93 [5396]~P71(x53963)+E(x53961,x53962)+~E(f844(f844(f79(x53963),x53964),x53961),f844(f844(f79(x53963),x53964),x53962))
% 202.05/201.93 [5398]~P70(x53983)+E(x53981,x53982)+~E(f844(f844(f79(x53983),x53981),x53984),f844(f844(f79(x53983),x53982),x53984))
% 202.05/201.93 [5520]~P4(x55203)+E(x55201,f188(f916(x55202,a904)))+E(f844(f844(f38(x55202,x55203),x55201),f844(f18(x55203,x55202),x55204)),x55204)
% 202.05/201.93 [5521]~P4(x55213)+E(x55211,f188(f916(x55212,a904)))+E(f844(f844(f39(x55212,x55213),x55211),f844(f18(x55213,x55212),x55214)),x55214)
% 202.05/201.93 [5672]~E(x56724,f188(f916(x56721,a904)))+~E(x56724,f844(f844(f308(x56721),x56722),x56723))+P105(f844(f844(f328(x56721),x56722),x56723))
% 202.05/201.93 [5740]~P109(x57403)+E(x57401,x57402)+~E(f302(x57403,x57404,x57401),f844(f844(f308(x57403),x57402),f188(f916(x57403,a904))))
% 202.05/201.93 [5741]~P109(x57413)+E(x57411,x57412)+~E(f302(x57413,x57411,x57412),f844(f844(f308(x57413),x57414),f188(f916(x57413,a904))))
% 202.05/201.93 [5801]~P34(x58013,x58011,x58014)+P34(x58013,x58011,f844(f844(f151(x58013),x58012),x58014))+P105(f844(x58011,x58012))
% 202.05/201.93 [5903]~P30(x59031,x59032,x59034)+~P105(f844(x59032,x59033))+P30(x59031,x59032,f844(f844(f151(x59031),x59033),x59034))
% 202.05/201.93 [6050]P105(f844(x60501,x60502))+~P105(f844(f247(x60503,x60501),x60504))+~P105(f844(f844(f328(x60503),x60502),x60504))
% 202.05/201.93 [6059]~P30(x60591,x60592,x60594)+~P30(x60591,x60592,x60593)+P30(x60591,x60592,f844(f844(f134(x60591),x60593),x60594))
% 202.05/201.93 [6073]P32(x60731,x60732,x60733)+~P32(x60731,x60732,f844(f844(f151(x60731),x60734),x60733))+P105(f844(x60732,x60734))
% 202.05/201.93 [6074]P34(x60741,x60742,x60743)+~P34(x60741,x60742,f844(f844(f151(x60741),x60744),x60743))+P105(f844(x60742,x60744))
% 202.05/201.93 [6149]P32(x61491,x61492,x61493)+P32(x61491,x61492,x61494)+~P32(x61491,x61492,f844(f844(f134(x61491),x61494),x61493))
% 202.05/201.93 [6169]~P69(x61691)+E(f844(f844(f8(a908,x61691),x61692),f844(f301(a908,x61693),f844(a112,x61694))),f2(x61691))+~P105(f844(f844(f235(a908),x61694),x61693))
% 202.05/201.93 [6174]~P60(x61741)+~E(f44(x61741,x61742,x61743),f44(x61741,x61744,x61743))+E(f44(x61741,f844(f78(x61741),x61742),x61743),f44(x61741,f844(f78(x61741),x61744),x61743))
% 202.05/201.93 [6242]P105(f844(x62421,x62422))+~E(f844(f136(x62423,x62421),x62424),x62424)+~P105(f844(f844(f328(x62423),x62422),f844(f172(x62423),x62424)))
% 202.05/201.93 [6262]~E(f844(f844(f79(a908),x62623),x62622),f844(f844(f79(a908),x62621),x62624))+~P105(f844(f844(f235(a908),x62623),x62624))+P105(f844(f844(f235(a908),x62621),x62622))
% 202.05/201.93 [6268]P32(x62681,x62682,x62683)+~P105(f844(x62682,x62684))+~P105(f844(f844(f328(x62681),x62684),f844(f172(x62681),x62683)))
% 202.05/201.93 [6271]~P59(x62711)+E(f44(x62711,f44(x62711,x62712,x62713),x62714),f44(x62711,x62712,x62714))+~P105(f844(f844(f286(x62711),x62714),x62713))
% 202.05/201.93 [6310]~P30(x63103,x63101,x63104)+P105(f844(x63101,x63102))+~P105(f844(f844(f328(x63103),x63102),f844(f172(x63103),x63104)))
% 202.05/201.93 [6312]~E(f844(f136(x63121,x63122),x63123),f113(x63121))+~P105(f844(x63122,x63124))+~P105(f844(f844(f328(x63121),x63124),f844(f172(x63121),x63123)))
% 202.05/201.93 [6313]~E(f177(x63133,x63131,x63134),x63134)+P105(f844(x63131,x63132))+~P105(f844(f844(f328(x63133),x63132),f844(f172(x63133),x63134)))
% 202.05/201.93 [6339]~E(x63394,f188(f916(x63392,a904)))+~E(x63393,f188(f916(x63391,a904)))+E(f312(x63391,x63392,x63393,x63394),f188(f916(f914(x63391,x63392),a904)))
% 202.05/201.93 [6489]P105(f844(x64891,x64892))+~P105(f844(f160(x64893,x64891),x64894))+~P105(f844(f844(f328(x64893),x64892),f844(f172(x64893),x64894)))
% 202.05/201.93 [6626]~P29(x66261,x66263,x66264)+P105(f844(x66261,x66262))+~P105(f844(f844(f328(a908),x66262),f844(f301(a908,x66263),x66264)))
% 202.05/201.93 [6765]~P69(x67651)+E(f844(f844(f8(a908,x67651),x67652),f302(a908,x67653,f844(a112,x67654))),f2(x67651))+~P105(f844(f844(f235(a908),f844(a112,x67654)),x67653))
% 202.05/201.93 [6909]~P108(x69091)+E(f844(f844(f3(f916(x69091,a904)),f844(f301(x69091,x69092),x69093)),f844(f301(x69091,x69092),x69094)),f844(f301(x69091,x69094),x69093))+~P105(f844(f844(f234(x69091),x69092),x69094))
% 202.05/201.93 [6980]~E(x69803,x69804)+E(x69801,f2(a908))+P105(f844(f844(f328(x69802),x69803),f844(f172(x69802),f169(x69802,x69801,x69804))))
% 202.05/201.93 [7260]~P105(f844(f844(f328(f909(x72601)),x72604),f161(x72601,x72603)))+P105(f844(f844(f328(x72601),x72602),x72603))+~P105(f844(f844(f328(x72601),x72602),f844(f172(x72601),x72604)))
% 202.05/201.93 [7267]~P36(x72671,x72672)+P105(f844(f844(f328(x72671),f601(x72672,x72671,x72673)),x72673))+~P105(f844(f844(f328(x72671),x72674),x72673))
% 202.05/201.93 [7322]~P69(x73221)+E(f844(f844(f844(f64(x73221,x73222,f79(x73221)),x73223),f2(x73221)),x73224),f844(f844(f8(x73222,x73221),x73223),x73224))+~P105(f844(f60(x73222),x73224))
% 202.05/201.93 [7324]~P74(x73241)+E(f844(f844(f844(f64(x73241,x73242,f80(x73241)),x73243),f77(x73241)),x73244),f844(f844(f11(x73242,x73241),x73243),x73244))+~P105(f844(f60(x73242),x73244))
% 202.05/201.93 [7352]P24(x73521,x73522,x73523,x73524)+~E(f844(f34(x73522),f844(f309(x73521,x73522,x73523),x73524)),f844(f34(x73521),x73524))+~P105(f844(f60(x73521),x73524))
% 202.05/201.93 [7545]~P69(x75451)+E(f844(f844(f79(x75451),f844(x75452,x75453)),f844(f844(f8(a908,x75451),x75452),f304(a908,x75453,x75454))),f844(f844(f8(a908,x75451),x75452),f302(a908,x75453,x75454)))+~P105(f844(f844(f234(a908),x75453),x75454))
% 202.05/201.93 [7556]~P69(x75561)+~P24(x75562,x75561,x75563,x75564)+E(f844(f844(f8(x75561,x75561),f31(x75561)),f844(f309(x75562,x75561,x75563),x75564)),f844(f844(f8(x75562,x75561),x75563),x75564))
% 202.05/201.93 [7557]~P74(x75571)+~P24(x75572,x75571,x75573,x75574)+E(f844(f844(f11(x75571,x75571),f31(x75571)),f844(f309(x75572,x75571,x75573),x75574)),f844(f844(f11(x75572,x75571),x75573),x75574))
% 202.05/201.93 [7606]E(f844(f34(f914(x76061,x76062)),f312(x76061,x76062,x76063,x76064)),f844(f844(f79(a908),f844(f34(x76061),x76063)),f844(f34(x76062),x76064)))+~P105(f844(f60(x76062),x76064))+~P105(f844(f60(x76061),x76063))
% 202.05/201.93 [7686]E(x76861,x76862)+P105(f844(f844(f328(x76863),x76861),f844(f172(x76863),f170(x76863,x76862,x76864))))+~P105(f844(f844(f328(x76863),x76861),f844(f172(x76863),x76864)))
% 202.05/201.93 [7911]~P69(x79111)+E(f844(f844(f79(x79111),f844(f844(f8(a908,x79111),x79112),f844(f301(a908,x79113),x79114))),f844(x79112,x79114)),f844(f844(f8(a908,x79111),x79112),f844(f301(a908,x79113),f844(a112,x79114))))+P105(f844(f844(f235(a908),x79114),x79113))
% 202.05/201.93 [7960]~P24(x79601,x79602,x79603,f241(f916(x79601,a904)))+~P105(f844(f60(x79602),x79604))+P105(f844(f60(x79601),f844(f310(x79601,x79602,x79603),x79604)))
% 202.05/201.93 [8074]P105(f844(f844(f328(f909(x80741)),f844(f844(f151(x80741),x80742),x80743)),f161(x80741,x80744)))+~P105(f844(f844(f328(f909(x80741)),x80743),f161(x80741,x80744)))+~P105(f844(f844(f328(x80741),x80742),x80744))
% 202.05/201.93 [8160]~E(f844(f309(x81603,x81601,x81604),f241(f916(x81603,a904))),f241(f916(x81601,a904)))+P105(f844(f60(x81601),x81602))+~P105(f844(f60(x81603),f844(f310(x81603,x81601,x81604),x81602)))
% 202.05/201.93 [8252]~P24(x82521,x82523,x82524,x82522)+P105(f844(f60(x82521),x82522))+~P105(f844(f60(x82523),f844(f309(x82521,x82523,x82524),x82522)))
% 202.05/201.93 [8274]~E(x82742,x82743)+P105(f844(f844(f328(f915(x82741,x82741)),f844(f844(f251(x82741,x82741),x82742),x82743)),f262(x82741,x82744)))+~P105(f844(f844(f328(x82741),x82742),x82744))
% 202.05/201.93 [8307]~P69(x83071)+E(f844(f844(f79(x83071),f844(f844(f8(a908,x83071),x83072),f302(a908,x83073,x83074))),f844(x83072,f844(a112,x83074))),f844(f844(f8(a908,x83071),x83072),f302(a908,x83073,f844(a112,x83074))))+P105(f844(f844(f235(a908),f844(a112,x83074)),x83073))
% 202.05/201.93 [8367]P105(f844(x83671,x83672))+~P105(f844(x83671,f844(f844(f164(x83673),x83674),f650(x83671,x83674,x83673))))+~P105(f844(f844(f328(x83673),x83672),f844(f172(x83673),x83674)))
% 202.05/201.93 [8506]~P105(f844(f844(f328(x85061),x85062),f315(x85061,x85064)))+P105(f844(f844(f328(f909(x85061)),f844(f844(f151(x85061),x85062),x85063)),f315(f909(x85061),f157(x85061,x85064))))+~P105(f844(f844(f328(f909(x85061)),x85063),f315(f909(x85061),f157(x85061,x85064))))
% 202.05/201.93 [8521]~P24(x85212,x85213,x85214,f522(x85214,x85213,x85212,x85211))+P24(x85212,x85213,x85214,f37(f916(x85212,a904),x85211))+E(x85211,f188(f916(f916(x85212,a904),a904)))
% 202.05/201.93 [8788]E(x87881,x87882)+~P105(f844(f844(f328(f915(x87883,x87883)),f844(f844(f251(x87883,x87883),x87881),x87882)),f306(x87883,x87884)))+P105(f844(f844(f328(x87883),x87881),f844(f263(x87883,x87883),x87884)))
% 202.05/201.93 [9066]E(x90661,f2(a908))+P105(f844(x90662,x90663))+P105(f844(f844(f328(x90664),f759(x90662,x90663,x90661,x90664)),f844(f172(x90664),f169(x90664,x90661,x90663))))
% 202.05/201.93 [9078]E(x90781,f2(a908))+~P105(f844(x90783,x90784))+P105(f844(f844(f328(x90782),f758(x90783,x90784,x90781,x90782)),f844(f172(x90782),f169(x90782,x90781,x90784))))
% 202.05/201.93 [9080]~P25(x90801,x90802,x90803,f241(f916(x90801,a904)),f241(f916(x90802,a904)))+~P105(f844(f60(x90802),x90804))+P105(f844(f60(x90801),f844(f310(x90801,x90802,x90803),x90804)))
% 202.05/201.93 [9083]P24(x90832,x90833,x90834,f37(f916(x90832,a904),x90831))+E(x90831,f188(f916(f916(x90832,a904),a904)))+P105(f844(f844(f328(f916(x90832,a904)),f522(x90834,x90833,x90832,x90831)),x90831))
% 202.05/201.93 [9198]~P25(x91983,x91981,x91984,f241(f916(x91983,a904)),f241(f916(x91981,a904)))+P105(f844(f60(x91981),x91982))+~P105(f844(f60(x91983),f844(f310(x91983,x91981,x91984),x91982)))
% 202.05/201.93 [9215]P105(f844(f60(x92151),x92152))+~P105(f844(f60(x92154),f844(f309(x92151,x92154,x92153),x92152)))+P105(f844(f844(f328(x92151),f564(x92153,x92154,x92152,x92151)),x92152))
% 202.05/201.93 [9309]~P4(x93092)+E(f844(f844(f63(x93091,x93092,f844(f844(f10(x93092,f916(x93092,x93092),x93091),f101(x93092)),x93093)),f241(x93092)),x93094),f844(f844(f38(x93091,x93092),x93094),x93093))+~P105(f844(f60(x93091),x93094))
% 202.05/201.93 [9310]~P4(x93102)+E(f844(f844(f63(x93101,x93102,f844(f844(f10(x93102,f916(x93102,x93102),x93101),f110(x93102)),x93103)),f188(x93102)),x93104),f844(f844(f39(x93101,x93102),x93104),x93103))+~P105(f844(f60(x93101),x93104))
% 202.05/201.93 [9391]P105(f844(x93911,x93912))+~P105(f844(x93911,f844(f844(f164(x93913),x93914),f690(x93912,x93911,x93914,x93913))))+~P105(f844(f844(f328(x93913),x93912),f844(f172(x93913),x93914)))
% 202.05/201.93 [9413]E(x94131,x94132)+~P105(f844(f844(f328(f915(x94133,x94133)),f844(f844(f251(x94133,x94133),x94131),x94132)),f306(x94133,x94134)))+P105(f844(f844(f328(f915(x94133,x94133)),f844(f844(f251(x94133,x94133),x94131),x94132)),f844(f844(f288(x94133,x94133,x94133),x94134),f306(x94133,x94134))))
% 202.05/201.93 [9463]~E(f844(f189(f909(x94631)),x94632),f844(f189(f909(x94631)),x94633))+~P105(f844(f844(f328(f915(f909(x94631),f909(x94631))),f844(f844(f251(f909(x94631),f909(x94631)),x94632),x94633)),f147(x94631,x94634)))+P105(f844(f844(f328(f915(f909(x94631),f909(x94631))),f844(f844(f251(f909(x94631),f909(x94631)),x94632),x94633)),f145(x94631,x94634)))
% 202.05/201.93 [9697]P30(x96971,f844(f844(f20(x96971,a904,a904),f844(f844(f10(a904,f916(a904,a904),x96971),a326),f844(f844(f10(a904,a904,x96971),a321),x96972))),f844(a324,x96973)),x96974)+~P105(f844(x96972,x96973))+~P34(x96971,x96972,f844(f844(f151(x96971),x96973),x96974))
% 202.05/201.93 [9863]~P30(x98631,f844(f844(f20(x98631,a904,a904),f844(f844(f10(a904,f916(a904,a904),x98631),a326),f844(f844(f10(a904,a904,x98631),a321),x98632))),f844(a324,x98633)),x98634)+~P105(f844(x98632,x98633))+P34(x98631,x98632,f844(f844(f151(x98631),x98633),x98634))
% 202.05/201.93 [9867]~P34(x98671,x98672,x98674)+~P30(x98671,f844(f844(f20(x98671,a904,a904),f844(f844(f10(a904,f916(a904,a904),x98671),a326),f844(f844(f10(a904,a904,x98671),a321),x98672))),f844(a324,x98673)),x98674)+P34(x98671,x98672,f844(f844(f151(x98671),x98673),x98674))
% 202.05/201.93 [9900]~P66(x99001)+E(f844(f844(f8(a908,x99001),f844(f844(f20(a908,x99001,x99001),f844(f844(f10(x99001,f916(x99001,x99001),a908),f3(x99001)),x99002)),f844(f844(f10(a908,x99001,a908),x99002),f844(f844(f9(a908,a908,a908),f79(a908)),f77(a908))))),f302(a908,x99003,x99004)),f2(x99001))+P105(f844(f844(f234(a908),x99003),x99004))
% 202.05/201.93 [10139]~P36(x101392,x101394)+~P24(x101392,x101391,x101393,f241(f916(x101392,a904)))+P36(x101391,f844(f309(f915(x101392,x101392),f915(x101391,x101391),f257(x101392,x101391,x101392,x101391,x101393,x101393)),x101394))
% 202.05/201.93 [10324]~E(f844(f189(f909(x103241)),x103243),f844(f189(f909(x103241)),x103242))+P105(f844(f844(f328(f915(f909(x103241),f909(x103241))),f844(f844(f251(f909(x103241),f909(x103241)),x103242),x103243)),f158(x103241,x103244)))+~P105(f844(f844(f256(x103241,x103241,a904),f844(f844(f9(x103241,f916(f915(x103241,x103241),a904),f916(x103241,a904)),f844(f844(f10(f916(x103241,f916(f916(f915(x103241,x103241),a904),a904)),f916(f916(f915(x103241,x103241),a904),f916(x103241,a904)),x103241),f9(x103241,f916(f915(x103241,x103241),a904),a904)),f844(f844(f10(f916(x103241,f915(x103241,x103241)),f916(x103241,f916(f916(f915(x103241,x103241),a904),a904)),x103241),f844(f10(f915(x103241,x103241),f916(f916(f915(x103241,x103241),a904),a904),x103241),f328(f915(x103241,x103241)))),f251(x103241,x103241)))),x103244)),f653(x103244,x103243,x103242,x103241)))
% 202.05/201.93 [6223]~P59(x62231)+~E(x62232,f2(x62231))+E(f844(f844(f35(x62231),f844(f844(f80(x62231),x62232),x62233)),f844(f844(f80(x62231),x62232),x62234)),f2(x62231))
% 202.05/201.93 [6265]E(x62651,f113(x62652))+E(x62653,f844(f844(f3(a908),f844(f189(f909(x62652)),x62651)),f77(a908)))+E(f144(x62652,f844(f844(f159(x62652,x62651),x62653),x62654)),f144(x62652,x62651))
% 202.05/201.93 [6301]E(x63011,x63012)+P105(f844(x63013,x63012))+~P105(f844(f844(f844(f308(x63014),x63011),x63013),x63012))
% 202.05/201.93 [6317]~P69(x63171)+~P105(f844(f137(x63172),x63174))+E(f844(f165(x63171),f844(f844(f154(x63172,x63171),x63173),x63174)),f844(f844(f8(x63172,x63171),x63173),f844(f172(x63172),x63174)))
% 202.05/201.93 [6332]~P74(x63322)+~P105(f844(f60(x63321),x63324))+E(f844(f844(f11(x63321,x63322),f844(f18(x63322,x63321),x63323)),x63324),f844(f844(f243(x63322),x63323),f844(f34(x63321),x63324)))
% 202.05/201.93 [6386]~P62(x63862)+E(x63861,f2(x63862))+E(f844(f844(f290(x63862),f844(f844(f80(x63862),x63863),x63861)),f844(f844(f80(x63862),x63864),x63861)),f844(f844(f290(x63862),x63863),x63864))
% 202.05/201.93 [6387]~P62(x63872)+E(x63871,f2(x63872))+E(f844(f844(f290(x63872),f844(f844(f80(x63872),x63871),x63873)),f844(f844(f80(x63872),x63871),x63874)),f844(f844(f290(x63872),x63873),x63874))
% 202.05/201.93 [6388]~P59(x63882)+E(x63881,f2(x63882))+E(f844(f844(f35(x63882),f844(f844(f80(x63882),x63883),x63881)),f844(f844(f80(x63882),x63884),x63881)),f844(f844(f35(x63882),x63883),x63884))
% 202.05/201.93 [6390]~P59(x63902)+E(x63901,f2(x63902))+E(f844(f844(f35(x63902),f844(f844(f80(x63902),x63901),x63903)),f844(f844(f80(x63902),x63901),x63904)),f844(f844(f35(x63902),x63903),x63904))
% 202.05/201.93 [6457]P105(f844(x64571,x64572))+~E(x64573,f844(f844(f79(a908),x64574),x64572))+~P105(f844(x64571,f844(f844(f3(a908),x64573),x64574)))
% 202.05/201.93 [6542]~P105(f844(x65422,x65423))+~P105(f844(f160(x65421,x65422),x65424))+P105(f844(f160(x65421,x65422),f844(f844(f151(x65421),x65423),x65424)))
% 202.05/201.93 [6583]E(x65831,f113(x65832))+~E(x65833,f844(f844(f3(a908),f844(f189(f909(x65832)),x65831)),f77(a908)))+E(f144(x65832,f844(f844(f159(x65832,x65831),x65833),x65834)),x65834)
% 202.05/201.93 [6606]~P100(x66061)+~P105(f844(f844(f234(x66061),x66062),x66064))+P105(f844(f844(f234(x66061),x66062),f844(f844(f110(x66061),x66063),x66064)))
% 202.05/201.93 [6607]~P100(x66071)+~P105(f844(f844(f234(x66071),x66072),x66073))+P105(f844(f844(f234(x66071),x66072),f844(f844(f110(x66071),x66073),x66074)))
% 202.05/201.93 [6609]~P108(x66091)+~P105(f844(f844(f234(x66091),x66092),x66094))+P105(f844(f844(f234(x66091),x66092),f844(f844(f233(x66091),x66093),x66094)))
% 202.05/201.93 [6611]~P108(x66111)+~P105(f844(f844(f234(x66111),x66112),x66113))+P105(f844(f844(f234(x66111),x66112),f844(f844(f233(x66111),x66113),x66114)))
% 202.05/201.93 [6612]~P100(x66121)+~P105(f844(f844(f235(x66121),x66122),x66124))+P105(f844(f844(f235(x66121),x66122),f844(f844(f110(x66121),x66123),x66124)))
% 202.05/201.93 [6613]~P100(x66131)+~P105(f844(f844(f235(x66131),x66132),x66133))+P105(f844(f844(f235(x66131),x66132),f844(f844(f110(x66131),x66133),x66134)))
% 202.05/201.93 [6615]~P108(x66151)+~P105(f844(f844(f235(x66151),x66152),x66154))+P105(f844(f844(f235(x66151),x66152),f844(f844(f233(x66151),x66153),x66154)))
% 202.05/201.93 [6617]~P108(x66171)+~P105(f844(f844(f235(x66171),x66172),x66173))+P105(f844(f844(f235(x66171),x66172),f844(f844(f233(x66171),x66173),x66174)))
% 202.05/201.93 [6709]~E(f844(f844(f164(x67091),x67092),x67093),x67094)+E(f844(f844(f159(x67091,x67092),x67093),x67094),x67092)+~P105(f844(f844(f235(a908),x67093),f844(f189(f909(x67091)),x67092)))
% 202.05/201.93 [6749]P105(f844(x67491,x67492))+~P105(f844(x67493,x67492))+~P105(f844(f844(f234(f916(x67494,a904)),x67493),x67491))
% 202.05/201.93 [6785]~E(f844(f844(f159(x67851,x67852),x67853),x67854),x67852)+E(f844(f844(f164(x67851),x67852),x67853),x67854)+~P105(f844(f844(f235(a908),x67853),f844(f189(f909(x67851)),x67852)))
% 202.05/201.93 [6799]~P105(f844(f160(x67991,x67992),x67994))+~P105(f844(f160(x67991,x67992),x67993))+P105(f844(f160(x67991,x67992),f844(f844(f134(x67991),x67993),x67994)))
% 202.05/201.93 [6905]E(x69051,f188(f916(x69052,a904)))+E(x69053,f188(f916(x69054,a904)))+~E(f844(f844(f253(x69054,x69052),x69053),f844(f18(f916(x69052,a904),x69054),x69051)),f188(f916(f915(x69054,x69052),a904)))
% 202.05/201.93 [6925]E(x69251,x69252)+P105(f844(f844(f328(x69253),x69251),x69254))+~P105(f844(f844(f328(x69253),x69251),f844(f844(f308(x69253),x69252),x69254)))
% 202.05/201.93 [6942]~P108(x69421)+P105(f844(f844(f234(x69421),x69422),x69423))+~P105(f844(f844(f234(x69421),x69422),f844(f844(f232(x69421),x69424),x69423)))
% 202.05/201.93 [6944]~P108(x69441)+P105(f844(f844(f234(x69441),x69442),x69443))+~P105(f844(f844(f234(x69441),x69442),f844(f844(f232(x69441),x69443),x69444)))
% 202.05/201.93 [6946]~P101(x69461)+P105(f844(f844(f234(x69461),x69462),x69463))+~P105(f844(f844(f234(x69461),x69462),f844(f844(f101(x69461),x69464),x69463)))
% 202.05/201.93 [6948]~P101(x69481)+P105(f844(f844(f234(x69481),x69482),x69483))+~P105(f844(f844(f234(x69481),x69482),f844(f844(f101(x69481),x69483),x69484)))
% 202.05/201.93 [6949]~P108(x69491)+P105(f844(f844(f235(x69491),x69492),x69493))+~P105(f844(f844(f235(x69491),x69492),f844(f844(f232(x69491),x69494),x69493)))
% 202.05/201.93 [6950]~P108(x69501)+P105(f844(f844(f235(x69501),x69502),x69503))+~P105(f844(f844(f235(x69501),x69502),f844(f844(f232(x69501),x69503),x69504)))
% 202.05/201.93 [6971]~E(f844(f844(f164(x69711),x69713),x69714),x69712)+P105(f844(f844(f328(x69711),x69712),f844(f172(x69711),x69713)))+~P105(f844(f844(f235(a908),x69714),f844(f189(f909(x69711)),x69713)))
% 202.05/201.93 [6981]~P108(x69811)+~P12(x69811,f844(f844(f151(x69811),x69812),f844(f844(f151(x69811),x69813),x69814)))+P105(f844(f844(f234(x69811),x69812),x69813))
% 202.05/201.93 [7125]~P30(x71252,x71251,x71253)+P105(f844(x71251,f844(f844(f164(x71252),x71253),x71254)))+~P105(f844(f844(f235(a908),x71254),f844(f189(f909(x71252)),x71253)))
% 202.05/201.93 [7143]E(x71431,f2(a1))+E(f844(f844(f35(a1),x71432),x71431),x71433)+~P105(f844(f48(x71432,x71431),f844(f844(f251(a1,a1),x71433),x71434)))
% 202.05/201.93 [7165]E(f44(a1,x71652,x71651),x71653)+E(x71651,f2(a1))+~P105(f844(f48(x71652,x71651),f844(f844(f251(a1,a1),x71654),x71653)))
% 202.05/201.93 [7284]P105(f844(f844(f328(x72841),x72842),x72843))+~P105(f844(f844(f328(x72841),x72842),x72844))+~P105(f844(f844(f235(f916(x72841,a904)),x72844),x72843))
% 202.05/201.93 [7285]P105(f844(f844(f328(x72851),x72852),x72853))+~P105(f844(f844(f328(x72851),x72852),x72854))+~P105(f844(f844(f234(f916(x72851,a904)),x72854),x72853))
% 202.05/201.93 [7396]P32(x73961,x73962,x73963)+~P105(f844(x73962,f844(f844(f164(x73961),x73963),x73964)))+~P105(f844(f844(f235(a908),x73964),f844(f189(f909(x73961)),x73963)))
% 202.05/201.93 [7512]~P107(x75122)+~P105(f844(f844(f235(f916(x75121,x75122)),x75123),x75124))+P105(f844(f844(f234(f916(x75121,x75122)),x75123),x75124))
% 202.05/201.93 [7595]~P23(x75951,x75952,x75954)+P23(x75951,x75952,f844(f844(f308(f907(x75951)),x75953),x75954))+~P23(x75951,x75952,f844(f844(f308(f907(x75951)),x75953),f188(f916(f907(x75951),a904))))
% 202.05/201.93 [7637]~P105(f844(f844(f328(x76371),x76372),x76374))+P105(f844(f844(f328(x76371),x76372),f36(f916(x76371,a904),x76373)))+~P105(f844(f844(f328(f916(x76371,a904)),x76374),x76373))
% 202.05/201.93 [7665]~P84(x76651)+~P105(f844(f844(f234(x76651),x76653),x76654))+P105(f844(f844(f234(x76651),f844(f844(f79(x76651),x76652),x76653)),f844(f844(f79(x76651),x76652),x76654)))
% 202.05/201.93 [7666]~P85(x76661)+~P105(f844(f844(f234(x76661),x76663),x76664))+P105(f844(f844(f234(x76661),f844(f844(f79(x76661),x76662),x76663)),f844(f844(f79(x76661),x76662),x76664)))
% 202.05/201.93 [7667]~P84(x76671)+~P105(f844(f844(f234(x76671),x76672),x76674))+P105(f844(f844(f234(x76671),f844(f844(f79(x76671),x76672),x76673)),f844(f844(f79(x76671),x76674),x76673)))
% 202.05/201.93 [7668]~P85(x76681)+~P105(f844(f844(f234(x76681),x76682),x76684))+P105(f844(f844(f234(x76681),f844(f844(f79(x76681),x76682),x76683)),f844(f844(f79(x76681),x76684),x76683)))
% 202.05/201.93 [7669]~P83(x76691)+~P105(f844(f844(f235(x76691),x76693),x76694))+P105(f844(f844(f235(x76691),f844(f844(f79(x76691),x76692),x76693)),f844(f844(f79(x76691),x76692),x76694)))
% 202.05/201.93 [7670]~P84(x76701)+~P105(f844(f844(f235(x76701),x76703),x76704))+P105(f844(f844(f235(x76701),f844(f844(f79(x76701),x76702),x76703)),f844(f844(f79(x76701),x76702),x76704)))
% 202.05/201.93 [7671]~P83(x76711)+~P105(f844(f844(f235(x76711),x76712),x76714))+P105(f844(f844(f235(x76711),f844(f844(f79(x76711),x76712),x76713)),f844(f844(f79(x76711),x76714),x76713)))
% 202.05/201.93 [7672]~P84(x76721)+~P105(f844(f844(f235(x76721),x76722),x76724))+P105(f844(f844(f235(x76721),f844(f844(f79(x76721),x76722),x76723)),f844(f844(f79(x76721),x76724),x76723)))
% 202.05/201.93 [7673]~P112(x76731)+~P105(f844(f844(f286(x76731),x76732),x76734))+P105(f844(f844(f286(x76731),f844(f844(f243(x76731),x76732),x76733)),f844(f844(f243(x76731),x76734),x76733)))
% 202.05/201.93 [7680]~P110(x76801)+~P93(x76801)+E(f844(f844(f3(x76801),f844(f844(f80(x76801),x76802),f844(f103(x76801),x76803))),f844(f844(f80(x76801),x76804),f844(f103(x76801),x76803))),f844(f844(f80(x76801),f844(f844(f3(x76801),x76802),x76804)),f844(f103(x76801),x76803)))
% 202.05/201.93 [7681]~P138(x76811)+~P93(x76811)+E(f844(f844(f79(x76811),f844(f844(f80(x76811),x76812),f844(f103(x76811),x76813))),f844(f844(f80(x76811),x76814),f844(f103(x76811),x76813))),f844(f844(f80(x76811),f844(f844(f79(x76811),x76812),x76814)),f844(f103(x76811),x76813)))
% 202.05/201.93 [7717]~P69(x77171)+E(f844(f844(f79(x77171),f844(x77172,x77173)),f844(f844(f8(a908,x77171),x77172),f302(a908,f844(a112,x77173),x77174))),f844(f844(f8(a908,x77171),x77172),f302(a908,x77173,x77174)))+~P105(f844(f844(f234(a908),x77173),x77174))
% 202.05/201.93 [7729]~P24(x77292,x77291,x77293,f844(f172(x77292),x77294))+~P105(f844(f137(x77292),x77294))+P105(f844(f137(x77291),f844(f844(f154(x77292,x77291),x77293),x77294)))
% 202.05/201.93 [7776]~P105(f844(f844(f234(a908),x77762),x77764))+~P105(f844(f844(f234(a908),x77761),x77763))+P105(f844(f844(f234(a908),f844(f844(f80(a908),x77761),x77762)),f844(f844(f80(a908),x77763),x77764)))
% 202.05/201.93 [7777]~P105(f844(f844(f234(a908),x77772),x77774))+~P105(f844(f844(f234(a908),x77771),x77773))+P105(f844(f844(f234(a908),f844(f844(f79(a908),x77771),x77772)),f844(f844(f79(a908),x77773),x77774)))
% 202.05/201.93 [7780]~P105(f844(f844(f235(a908),x77802),x77804))+~P105(f844(f844(f235(a908),x77801),x77803))+P105(f844(f844(f235(a908),f844(f844(f79(a908),x77801),x77802)),f844(f844(f79(a908),x77803),x77804)))
% 202.05/201.93 [7781]~P105(f844(f844(f234(a1),x77812),x77814))+~P105(f844(f844(f235(a1),x77811),x77813))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x77811),x77812)),f844(f844(f79(a1),x77813),x77814)))
% 202.05/201.93 [7828]P105(f844(f844(f328(x78281),x78282),x78283))+~P105(f844(f844(f328(x78281),x78282),f37(f916(x78281,a904),x78284)))+~P105(f844(f844(f328(f916(x78281,a904)),x78283),x78284))
% 202.05/201.93 [7844]~P105(f844(x78441,f648(x78441,x78443,x78442)))+P105(f844(x78441,f844(f844(f164(x78442),x78443),x78444)))+~P105(f844(f844(f235(a908),x78444),f844(f189(f909(x78442)),x78443)))
% 202.05/201.93 [7849]P105(f844(x78491,x78492))+~P105(f844(f844(f328(x78494),x78492),f844(f172(x78494),x78493)))+P105(f844(f844(f235(a908),f650(x78491,x78493,x78494)),f844(f189(f909(x78494)),x78493)))
% 202.05/201.93 [7896]~P107(x78961)+~P105(f844(f844(f235(f916(x78962,x78961)),x78964),x78963))+~P105(f844(f844(f234(f916(x78962,x78961)),x78963),x78964))
% 202.05/201.93 [7939]~P105(f844(x79394,x79392))+~P105(f844(f844(f328(x79391),x79392),x79393))+P105(f844(f844(f328(x79391),x79392),f844(f844(f101(f916(x79391,a904)),x79393),f844(f261(x79391),x79394))))
% 202.05/201.93 [8081]~P105(f844(f844(f328(x80811),x80813),x80814))+~P105(f844(f844(f235(f916(x80811,a904)),x80812),x80814))+P105(f844(f844(f235(f916(x80811,a904)),x80812),f844(f844(f308(x80811),x80813),x80814)))
% 202.05/201.93 [8083]E(f844(f844(f101(f916(x80831,a904)),x80832),x80833),f188(f916(x80831,a904)))+~E(f844(f844(f101(f916(x80831,a904)),f36(f916(x80831,a904),x80834)),x80833),f188(f916(x80831,a904)))+~P105(f844(f844(f328(f916(x80831,a904)),x80832),x80834))
% 202.05/201.93 [8156]P105(f844(f844(f328(x81561),x81562),x81563))+~P105(f844(f844(f234(f916(x81561,a904)),x81563),f844(f844(f308(x81561),x81562),x81564)))+P105(f844(f844(f234(f916(x81561,a904)),x81563),x81564))
% 202.05/201.93 [8173]P105(f844(f844(f328(x81732),f648(x81731,x81733,x81732)),f844(f172(x81732),x81733)))+P105(f844(x81731,f844(f844(f164(x81732),x81733),x81734)))+~P105(f844(f844(f235(a908),x81734),f844(f189(f909(x81732)),x81733)))
% 202.05/201.93 [8181]~P105(f844(f844(f234(f916(x81811,a904)),x81812),x81814))+P105(f844(f844(f234(f916(x81811,a904)),x81812),x81813))+~P105(f844(f844(f234(f916(x81811,a904)),x81814),x81813))
% 202.05/201.93 [8182]~P105(f844(f844(f235(f916(x81821,a904)),x81822),x81824))+~P105(f844(f844(f234(f916(x81821,a904)),x81824),x81823))+P105(f844(f844(f235(f916(x81821,a904)),x81822),x81823))
% 202.05/201.93 [8183]~P105(f844(f844(f234(f916(x81831,a904)),x81832),x81834))+~P105(f844(f844(f235(f916(x81831,a904)),x81834),x81833))+P105(f844(f844(f235(f916(x81831,a904)),x81832),x81833))
% 202.05/201.93 [8184]~P105(f844(f844(f235(f916(x81841,a904)),x81842),x81844))+P105(f844(f844(f235(f916(x81841,a904)),x81842),x81843))+~P105(f844(f844(f235(f916(x81841,a904)),x81844),x81843))
% 202.05/201.93 [8228]~P105(f844(f844(f328(x82281),x82284),x82283))+~P105(f844(f844(f235(f916(x82281,a904)),x82282),f844(f844(f308(x82281),x82284),x82283)))+P105(f844(f844(f235(f916(x82281,a904)),x82282),x82283))
% 202.05/201.93 [8239]~P84(x82391)+P105(f844(f844(f234(x82391),x82392),x82393))+~P105(f844(f844(f234(x82391),f844(f844(f79(x82391),x82394),x82392)),f844(f844(f79(x82391),x82394),x82393)))
% 202.05/201.93 [8241]~P84(x82411)+P105(f844(f844(f234(x82411),x82412),x82413))+~P105(f844(f844(f234(x82411),f844(f844(f79(x82411),x82412),x82414)),f844(f844(f79(x82411),x82413),x82414)))
% 202.05/201.93 [8243]~P84(x82431)+P105(f844(f844(f235(x82431),x82432),x82433))+~P105(f844(f844(f235(x82431),f844(f844(f79(x82431),x82434),x82432)),f844(f844(f79(x82431),x82434),x82433)))
% 202.05/201.93 [8245]~P84(x82451)+P105(f844(f844(f235(x82451),x82452),x82453))+~P105(f844(f844(f235(x82451),f844(f844(f79(x82451),x82452),x82454)),f844(f844(f79(x82451),x82453),x82454)))
% 202.05/201.93 [8291]P105(f844(x82911,x82912))+~E(f844(f844(f138(x82913),f844(f189(f909(x82913)),f177(x82913,x82911,x82914))),x82914),f113(x82913))+~P105(f844(f844(f328(x82913),x82912),f844(f172(x82913),x82914)))
% 202.05/201.93 [8409]P105(f844(x84091,x84092))+~P105(f844(f844(f328(x84093),x84092),f844(f172(x84093),x84094)))+P105(f844(f844(f235(a908),f844(f189(f909(x84093)),f844(f136(x84093,x84091),x84094))),f844(f189(f909(x84093)),x84094)))
% 202.05/201.93 [8895]~P105(f844(x88951,f741(x88951,x88953,x88952,x88954)))+P105(f844(x88951,f844(f844(f164(x88952),x88953),x88954)))+~P105(f844(f844(f235(a908),x88954),f844(f189(f909(x88952)),x88953)))
% 202.05/201.93 [8919]~P24(x89194,x89193,x89191,f241(f916(x89194,a904)))+E(f844(x89191,f510(x89192,x89191,x89193,x89194)),x89192)+~P105(f844(f844(f328(x89193),x89192),f844(f309(x89194,x89193,x89191),f241(f916(x89194,a904)))))
% 202.05/201.93 [8987]E(f177(x89871,x89872,x89873),f844(f844(f175(x89871),x89874),x89873))+P105(f844(f844(f235(a908),f712(x89872,x89873,x89871,x89874)),x89874))+P105(f844(f844(f235(a908),x89874),f844(f189(f909(x89871)),x89873)))
% 202.05/201.93 [8990]E(f177(x89901,x89902,x89903),f844(f844(f175(x89901),x89904),x89903))+P105(f844(f844(f235(a908),f712(x89902,x89903,x89901,x89904)),x89904))+P105(f844(x89902,f844(f844(f164(x89901),x89903),x89904)))
% 202.05/201.93 [9025]P105(f844(x90251,x90252))+~P105(f844(f844(f328(x90254),x90252),f844(f172(x90254),x90253)))+P105(f844(f844(f235(a908),f690(x90252,x90251,x90253,x90254)),f844(f189(f909(x90254)),x90253)))
% 202.05/201.93 [9027]E(f177(x90271,x90272,x90273),f844(f844(f175(x90271),x90274),x90273))+P105(f844(f844(f235(a908),x90274),f844(f189(f909(x90271)),x90273)))+P105(f844(f844(f235(a908),f712(x90272,x90273,x90271,x90274)),f844(f189(f909(x90271)),x90273)))
% 202.05/201.93 [9034]E(f177(x90341,x90342,x90343),f844(f844(f175(x90341),x90344),x90343))+P105(f844(x90342,f844(f844(f164(x90341),x90343),x90344)))+P105(f844(f844(f235(a908),f712(x90342,x90343,x90341,x90344)),f844(f189(f909(x90341)),x90343)))
% 202.05/201.93 [9059]~P124(x90594)+P105(f844(f844(f328(x90591),f893(x90592,x90593,x90591,x90594)),x90593))+P105(f844(f844(f235(x90594),f2(x90594)),f844(f844(f11(x90591,x90594),x90592),x90593)))
% 202.05/201.93 [9060]~P124(x90604)+P105(f844(f844(f328(x90601),f894(x90602,x90603,x90601,x90604)),x90603))+P105(f844(f844(f234(x90604),f2(x90604)),f844(f844(f11(x90601,x90604),x90602),x90603)))
% 202.05/201.93 [9085]~P105(f844(f60(x90851),x90854))+P105(f844(f844(f328(x90851),f528(x90852,x90853,x90854,x90851)),x90854))+P105(f844(f60(f915(x90851,x90853)),f844(f844(f253(x90851,x90853),x90854),x90852)))
% 202.05/201.93 [9117]P105(f844(f844(f328(x91172),f741(x91171,x91173,x91172,x91174)),f844(f172(x91172),x91173)))+P105(f844(x91171,f844(f844(f164(x91172),x91173),x91174)))+~P105(f844(f844(f235(a908),x91174),f844(f189(f909(x91172)),x91173)))
% 202.05/201.93 [9246]P105(f844(f844(f234(a908),x92464),f844(f189(f909(x92462)),f177(x92462,x92463,x92461))))+P105(f844(f844(f235(a908),f713(x92461,x92462,x92463,x92464)),x92464))+~P105(f844(f844(f234(a908),x92464),f844(f189(f909(x92462)),x92461)))
% 202.05/201.93 [9395]E(f177(x93951,x93952,x93953),f844(f844(f175(x93951),x93954),x93953))+~P105(f844(x93952,f844(f844(f164(x93951),x93953),f712(x93952,x93953,x93951,x93954))))+P105(f844(f844(f235(a908),x93954),f844(f189(f909(x93951)),x93953)))
% 202.05/201.93 [9403]E(f177(x94031,x94032,x94033),f844(f844(f175(x94031),x94034),x94033))+~P105(f844(x94032,f844(f844(f164(x94031),x94033),f712(x94032,x94033,x94031,x94034))))+P105(f844(x94032,f844(f844(f164(x94031),x94033),x94034)))
% 202.05/201.93 [9407]~P105(f844(f60(x94071),x94073))+~P105(f844(f60(x94072),f844(x94074,f528(x94074,x94072,x94073,x94071))))+P105(f844(f60(f915(x94071,x94072)),f844(f844(f253(x94071,x94072),x94073),x94074)))
% 202.05/201.93 [9415]~P124(x94151)+~P105(f844(f844(f234(x94151),f2(x94151)),f844(x94153,f894(x94153,x94154,x94152,x94151))))+P105(f844(f844(f234(x94151),f2(x94151)),f844(f844(f11(x94152,x94151),x94153),x94154)))
% 202.05/201.93 [9416]~P124(x94161)+~P105(f844(f844(f235(x94161),f2(x94161)),f844(x94163,f893(x94163,x94164,x94162,x94161))))+P105(f844(f844(f235(x94161),f2(x94161)),f844(f844(f11(x94162,x94161),x94163),x94164)))
% 202.05/201.93 [9424]~E(f844(f189(f909(x94244)),x94242),f844(f189(f909(x94244)),x94243))+P105(f844(f844(f328(f915(f909(x94244),f909(x94244))),f844(f844(f251(f909(x94244),f909(x94244)),x94243),x94242)),f158(x94244,x94241)))+P105(f844(f844(f235(a908),f634(x94241,x94242,x94243,x94244)),f844(f189(f909(x94244)),x94243)))
% 202.05/201.93 [9476]~P105(f844(x94763,f844(f844(f164(x94762),x94764),f713(x94764,x94762,x94763,x94761))))+P105(f844(f844(f234(a908),x94761),f844(f189(f909(x94762)),f177(x94762,x94763,x94764))))+~P105(f844(f844(f234(a908),x94761),f844(f189(f909(x94762)),x94764)))
% 202.05/201.93 [9555]E(f844(f844(f175(x95551),f649(x95552,x95553,x95554,x95551)),x95553),f844(f844(f175(x95551),f649(x95552,x95553,x95554,x95551)),x95554))+~P105(f844(f844(f328(f915(f909(x95551),f909(x95551))),f844(f844(f251(f909(x95551),f909(x95551)),x95554),x95553)),f147(x95551,x95552)))+P105(f844(f844(f235(a908),f844(f189(f909(x95551)),x95554)),f844(f189(f909(x95551)),x95553)))
% 202.05/201.93 [9611]~P105(f844(f844(f235(a908),f2(a908)),x96113))+~P105(f844(f844(f235(a908),x96114),x96111))+P105(f844(f844(f235(a908),f844(f844(f79(a908),f844(f844(f80(a908),x96111),f44(a908,x96112,x96113))),x96114)),f844(f844(f80(a908),x96111),x96113)))
% 202.05/201.93 [9803]~P107(x98032)+~P105(f844(f844(f234(x98032),f844(x98033,f551(x98034,x98033,x98031,x98032))),f844(x98034,f551(x98034,x98033,x98031,x98032))))+P105(f844(f844(f234(f916(x98031,x98032)),x98033),x98034))
% 202.05/201.93 [9905]~P66(x99051)+E(f844(f844(f8(a908,x99051),f844(f844(f20(a908,x99051,x99051),f844(f844(f10(x99051,f916(x99051,x99051),a908),f3(x99051)),x99052)),f844(f844(f10(a908,x99051,a908),x99052),f844(f844(f9(a908,a908,a908),f79(a908)),f77(a908))))),f302(a908,x99053,x99054)),f844(f844(f3(x99051),f844(x99052,x99053)),f844(x99052,f844(f844(f79(a908),x99054),f77(a908)))))+~P105(f844(f844(f234(a908),x99053),x99054))
% 202.05/201.93 [9980]~P36(x99803,f844(f844(f288(x99803,x99803,x99803),x99802),f306(x99803,x99802)))+~P105(f844(f844(f328(f915(x99803,x99803)),f844(f844(f251(x99803,x99803),f844(x99801,f844(a112,f822(x99802,x99801,x99803)))),f844(x99801,f822(x99802,x99801,x99803)))),f306(x99803,x99802)))+E(f844(x99801,f844(f844(f79(a908),f821(x99802,x99801,x99803)),x99804)),f844(x99801,f821(x99802,x99801,x99803)))
% 202.05/201.93 [6975]E(f844(f844(f134(x69751),x69752),x69753),x69754)+~E(x69753,f844(f844(f138(x69751),f844(f189(f909(x69751)),x69752)),x69754))+~E(f844(f844(f175(x69751),f844(f189(f909(x69751)),x69752)),x69754),x69752)
% 202.05/201.93 [7028]~P63(x70282)+E(x70281,f2(x70282))+E(f844(f844(f290(x70282),f844(f844(f243(x70282),x70283),x70284)),f844(f844(f243(x70282),x70281),x70284)),f844(f844(f243(x70282),f844(f844(f290(x70282),x70283),x70281)),x70284))
% 202.05/201.93 [7181]~P101(x71811)+~P105(f844(f844(f234(x71811),x71813),x71814))+P105(f844(f844(f234(x71811),f844(f844(f101(x71811),x71812),x71813)),x71814))
% 202.05/201.93 [7182]~P101(x71821)+~P105(f844(f844(f234(x71821),x71822),x71824))+P105(f844(f844(f234(x71821),f844(f844(f101(x71821),x71822),x71823)),x71824))
% 202.05/201.93 [7184]~P108(x71841)+~P105(f844(f844(f234(x71841),x71843),x71844))+P105(f844(f844(f234(x71841),f844(f844(f232(x71841),x71842),x71843)),x71844))
% 202.05/201.93 [7186]~P108(x71861)+~P105(f844(f844(f234(x71861),x71862),x71864))+P105(f844(f844(f234(x71861),f844(f844(f232(x71861),x71862),x71863)),x71864))
% 202.05/201.93 [7187]~P101(x71871)+~P105(f844(f844(f235(x71871),x71873),x71874))+P105(f844(f844(f235(x71871),f844(f844(f101(x71871),x71872),x71873)),x71874))
% 202.05/201.93 [7188]~P101(x71881)+~P105(f844(f844(f235(x71881),x71882),x71884))+P105(f844(f844(f235(x71881),f844(f844(f101(x71881),x71882),x71883)),x71884))
% 202.05/201.93 [7190]~P108(x71901)+~P105(f844(f844(f235(x71901),x71903),x71904))+P105(f844(f844(f235(x71901),f844(f844(f232(x71901),x71902),x71903)),x71904))
% 202.05/201.93 [7192]~P108(x71921)+~P105(f844(f844(f235(x71921),x71922),x71924))+P105(f844(f844(f235(x71921),f844(f844(f232(x71921),x71922),x71923)),x71924))
% 202.05/201.93 [7215]~P105(f844(x72153,x72154))+~P105(f844(x72152,x72154))+P105(f844(f844(f844(f101(f916(x72151,a904)),x72152),x72153),x72154))
% 202.05/201.93 [7339]P23(x73391,x73392,x73393)+~P23(x73391,x73392,x73394)+~P105(f844(f844(f234(f916(f907(x73391),a904)),x73393),x73394))
% 202.05/201.93 [7707]~P69(x77071)+E(f844(f844(f79(x77071),f844(x77072,x77073)),f844(f844(f8(a908,x77071),x77072),f844(f301(a908,f844(a112,x77073)),x77074))),f844(f844(f8(a908,x77071),x77072),f844(f301(a908,x77073),x77074)))+~P105(f844(f844(f235(a908),x77073),x77074))
% 202.05/201.93 [7725]E(x77251,x77252)+P105(f844(f844(f172(x77253),x77254),x77252))+~P105(f844(f844(f172(x77253),f844(f844(f151(x77253),x77251),x77254)),x77252))
% 202.05/201.93 [7737]~P108(x77371)+P105(f844(f844(f234(x77371),x77372),x77373))+~P105(f844(f844(f234(x77371),f844(f844(f233(x77371),x77374),x77372)),x77373))
% 202.05/201.93 [7739]~P108(x77391)+P105(f844(f844(f234(x77391),x77392),x77393))+~P105(f844(f844(f234(x77391),f844(f844(f233(x77391),x77392),x77394)),x77393))
% 202.05/201.93 [7741]~P100(x77411)+P105(f844(f844(f234(x77411),x77412),x77413))+~P105(f844(f844(f234(x77411),f844(f844(f110(x77411),x77414),x77412)),x77413))
% 202.05/201.93 [7743]~P100(x77431)+P105(f844(f844(f234(x77431),x77432),x77433))+~P105(f844(f844(f234(x77431),f844(f844(f110(x77431),x77432),x77434)),x77433))
% 202.05/201.93 [7744]~P108(x77441)+P105(f844(f844(f235(x77441),x77442),x77443))+~P105(f844(f844(f235(x77441),f844(f844(f233(x77441),x77444),x77442)),x77443))
% 202.05/201.93 [7745]~P108(x77451)+P105(f844(f844(f235(x77451),x77452),x77453))+~P105(f844(f844(f235(x77451),f844(f844(f233(x77451),x77452),x77454)),x77453))
% 202.05/201.93 [7820]~P105(f844(f844(f328(x78201),x78202),x78204))+P105(f844(f844(f328(x78201),x78202),x78203))+P105(f844(f844(f328(x78201),x78202),f844(f844(f3(f916(x78201,a904)),x78204),x78203)))
% 202.05/201.93 [7903]P105(f844(x79031,x79032))+P105(f844(x79033,x79032))+~P105(f844(f844(f844(f110(f916(x79034,a904)),x79033),x79031),x79032))
% 202.05/201.93 [7914]~P105(f844(f844(f328(x79141),x79142),x79144))+~P105(f844(f844(f328(x79141),x79142),x79143))+P105(f844(f844(f328(x79141),x79142),f844(f844(f101(f916(x79141,a904)),x79143),x79144)))
% 202.05/201.93 [7961]~P100(x79611)+~P105(f844(f60(x79611),x79614))+E(f844(f844(f63(x79611,x79611,f110(x79611)),x79612),f844(f844(f308(x79611),x79613),x79614)),f844(f844(f110(x79611),x79613),f844(f844(f63(x79611,x79611,f110(x79611)),x79612),x79614)))
% 202.05/201.93 [7962]~P101(x79621)+~P105(f844(f60(x79621),x79624))+E(f844(f844(f63(x79621,x79621,f101(x79621)),x79622),f844(f844(f308(x79621),x79623),x79624)),f844(f844(f101(x79621),x79623),f844(f844(f63(x79621,x79621,f101(x79621)),x79622),x79624)))
% 202.05/201.93 [7963]~P108(x79631)+~P105(f844(f60(x79631),x79634))+E(f844(f844(f63(x79631,x79631,f232(x79631)),x79632),f844(f844(f308(x79631),x79633),x79634)),f844(f844(f232(x79631),x79633),f844(f844(f63(x79631,x79631,f232(x79631)),x79632),x79634)))
% 202.05/201.93 [7964]~P108(x79641)+~P105(f844(f60(x79641),x79644))+E(f844(f844(f63(x79641,x79641,f233(x79641)),x79642),f844(f844(f308(x79641),x79643),x79644)),f844(f844(f233(x79641),x79643),f844(f844(f63(x79641,x79641,f233(x79641)),x79642),x79644)))
% 202.05/201.93 [7965]~P110(x79651)+~P93(x79651)+E(f844(f844(f3(x79651),f844(f844(f80(x79651),f844(f103(x79651),x79652)),x79653)),f844(f844(f80(x79651),f844(f103(x79651),x79652)),x79654)),f844(f844(f80(x79651),f844(f103(x79651),x79652)),f844(f844(f3(x79651),x79653),x79654)))
% 202.05/201.93 [7966]~P138(x79661)+~P93(x79661)+E(f844(f844(f79(x79661),f844(f844(f80(x79661),f844(f103(x79661),x79662)),x79663)),f844(f844(f80(x79661),f844(f103(x79661),x79662)),x79664)),f844(f844(f80(x79661),f844(f103(x79661),x79662)),f844(f844(f79(x79661),x79663),x79664)))
% 202.05/201.93 [8079]E(x80791,x80792)+P105(f844(f844(f328(x80793),x80791),f844(f172(x80793),x80794)))+~P105(f844(f844(f328(x80793),x80791),f844(f172(x80793),f844(f844(f151(x80793),x80792),x80794))))
% 202.05/201.93 [8250]P53(x82501,x82502,x82503)+~P53(x82501,x82502,x82504)+~P105(f844(f844(f234(f916(f915(x82501,x82502),a904)),x82503),x82504))
% 202.05/201.93 [8293]P105(f844(f844(f328(x82931),x82932),x82933))+P105(f844(f844(f328(x82931),x82932),x82934))+~P105(f844(f844(f328(x82931),x82932),f844(f844(f110(f916(x82931,a904)),x82934),x82933)))
% 202.05/201.93 [8303]~P51(x83031,x83034,x83033)+~P105(f844(f844(f328(x83031),x83032),x83034))+P105(f844(f844(f328(f915(x83031,x83031)),f844(f844(f251(x83031,x83031),x83032),x83032)),x83033))
% 202.05/201.93 [8315]~P105(f844(f60(x83152),x83154))+~P105(f844(f60(x83151),x83153))+P105(f844(f60(f915(x83151,x83152)),f844(f844(f253(x83151,x83152),x83153),f844(f18(f916(x83152,a904),x83151),x83154))))
% 202.05/201.93 [8316]~P105(f844(f844(f328(x83161),x83162),x83164))+~P105(f844(f844(f234(f916(x83161,a904)),x83163),x83164))+P105(f844(f844(f234(f916(x83161,a904)),f844(f844(f308(x83161),x83162),x83163)),x83164))
% 202.05/201.93 [8323]~P74(x83232)+~P143(x83232)+E(f844(f844(f11(x83231,x83232),f844(f844(f10(a908,x83232,x83231),f100(x83232)),x83233)),x83234),f844(f100(x83232),f844(f844(f11(x83231,a908),x83233),x83234)))
% 202.05/201.93 [8324]~P74(x83242)+~P140(x83242)+E(f844(f844(f11(x83241,x83242),f844(f844(f10(a1,x83242,x83241),f102(x83242)),x83243)),x83244),f844(f102(x83242),f844(f844(f11(x83241,a1),x83243),x83244)))
% 202.05/201.93 [8348]E(f844(f844(f3(f916(x83481,a904)),x83482),f844(f844(f3(f916(x83481,a904)),x83483),x83484)),x83484)+~P105(f844(f844(f234(f916(x83481,a904)),x83482),x83483))+~P105(f844(f844(f234(f916(x83481,a904)),x83484),x83482))
% 202.05/201.93 [8444]~P105(f844(f60(x84441),x84444))+E(f844(f844(f3(a908),f844(f844(f8(x84441,a908),x84442),x84443)),f844(f844(f8(x84441,a908),x84442),x84444)),f844(f844(f8(x84441,a908),x84442),f844(f844(f3(f916(x84441,a904)),x84443),x84444)))+~P105(f844(f844(f234(f916(x84441,a904)),x84444),x84443))
% 202.05/201.93 [8594]~P7(x85941,x85944,x85943)+~P105(f844(f844(f328(x85941),x85942),x85944))+P105(f844(f844(f328(x85941),x85942),f844(f284(x85941,x85941,x85943),f844(f844(f308(x85941),x85942),f188(f916(x85941,a904))))))
% 202.05/201.93 [8654]~P105(f844(f844(f234(f916(x86541,a904)),x86542),x86543))+~P105(f844(f844(f234(f916(x86541,a904)),x86542),x86544))+P105(f844(f844(f234(f916(x86541,a904)),x86542),f844(f844(f101(f916(x86541,a904)),x86543),x86544)))
% 202.05/201.93 [8756]E(x87561,f188(f916(x87562,a904)))+P105(f844(f60(x87563),x87564))+~P105(f844(f60(f915(x87563,x87562)),f844(f844(f253(x87563,x87562),x87564),f844(f18(f916(x87562,a904),x87563),x87561))))
% 202.05/201.93 [8757]E(x87571,f188(f916(x87572,a904)))+P105(f844(f60(x87573),x87574))+~P105(f844(f60(f915(x87572,x87573)),f844(f844(f253(x87572,x87573),x87571),f844(f18(f916(x87573,a904),x87572),x87574))))
% 202.05/201.93 [8830]P105(f844(f844(f328(x88301),x88302),f315(x88301,x88303)))+~P105(f844(f844(f328(x88301),x88304),f315(x88301,x88303)))+~P105(f844(f844(f328(f915(x88301,x88301)),f844(f844(f251(x88301,x88301),x88302),x88304)),x88303))
% 202.05/201.93 [8887]~P36(x88871,x88874)+P105(f844(f844(f328(f915(x88871,x88871)),f844(f844(f251(x88871,x88871),x88873),x88872)),f306(x88871,x88874)))+P36(x88871,f844(f844(f308(f915(x88871,x88871)),f844(f844(f251(x88871,x88871),x88872),x88873)),x88874))
% 202.05/201.93 [8888]~P56(x88881,x88884)+P105(f844(f844(f328(f915(x88881,x88881)),f844(f844(f251(x88881,x88881),x88883),x88882)),f306(x88881,x88884)))+P56(x88881,f844(f844(f308(f915(x88881,x88881)),f844(f844(f251(x88881,x88881),x88882),x88883)),x88884))
% 202.05/201.93 [8970]~E(x89702,x89703)+~P105(f844(f844(f328(x89701),x89702),f844(f172(x89701),x89704)))+P105(f844(f844(f328(f915(x89701,x89701)),f844(f844(f251(x89701,x89701),x89702),x89703)),f844(f172(f915(x89701,x89701)),f844(f844(f181(x89701,x89701),x89704),x89704))))
% 202.05/201.93 [9058]~E(x90583,x90584)+P105(f844(f844(f256(x90581,x90581,a904),a324),x90582))+~P105(f844(f844(f328(f915(x90581,x90581)),x90582),f844(f172(f915(x90581,x90581)),f844(f844(f181(x90581,x90581),x90583),x90584))))
% 202.05/201.93 [9102]P105(f844(f844(f328(f915(f909(x91021),f909(x91021))),f844(f844(f251(f909(x91021),f909(x91021)),x91022),x91023)),f147(x91021,x91024)))+~E(f844(f844(f175(x91021),f844(f189(f909(x91021)),x91022)),x91023),x91022)+~P105(f844(f844(f235(a908),f844(f189(f909(x91021)),x91022)),f844(f189(f909(x91021)),x91023)))
% 202.05/201.93 [9105]~P50(x91051,x91054)+~P105(f844(f844(f328(f915(x91051,x91051)),f844(f844(f251(x91051,x91051),x91053),x91052)),x91054))+P105(f844(f844(f328(f915(x91051,x91051)),f844(f844(f251(x91051,x91051),x91052),x91053)),x91054))
% 202.05/201.93 [9196]~P105(f844(f60(x91961),x91964))+P105(f844(f844(f328(x91961),f455(x91962,x91963,x91964,x91961)),x91964))+P105(f844(f60(x91963),f844(f844(f39(x91961,f916(x91963,a904)),x91964),x91962)))
% 202.05/201.93 [9197]~P105(f844(f60(x91971),x91974))+P105(f844(f844(f328(x91971),f572(x91972,x91973,x91974,x91971)),x91974))+P105(f844(f60(x91973),f844(f844(f39(x91971,f916(x91973,a904)),x91974),x91972)))
% 202.05/201.93 [9282]P105(f844(f844(f328(f915(x92821,x92821)),x92822),f844(f844(f288(x92821,x92821,x92821),x92823),f306(x92821,x92823))))+~P105(f844(f844(f235(a908),f2(a908)),x92824))+~P105(f844(f844(f328(f915(x92821,x92821)),x92822),f844(f844(f183(f915(x92821,x92821),a904),x92824),x92823)))
% 202.05/201.93 [9290]~P36(x92901,x92902)+~P105(f844(f844(f328(f915(x92901,x92901)),f844(f844(f251(x92901,x92901),x92904),x92903)),x92902))+~P105(f844(f844(f328(f915(x92901,x92901)),f844(f844(f251(x92901,x92901),x92903),x92904)),x92902))
% 202.05/201.93 [9414]~P105(f844(f60(x94141),x94144))+E(f844(f844(f8(x94141,a908),f844(f844(f10(f916(x94142,a904),a908,x94141),f34(x94142)),x94143)),x94144),f844(f34(f915(x94141,x94142)),f844(f844(f253(x94141,x94142),x94144),x94143)))+P105(f844(f844(f328(x94141),f532(x94143,x94142,x94144,x94141)),x94144))
% 202.05/201.93 [9418]~P105(f844(f137(x94181),x94182))+P105(f844(f137(x94181),f844(f844(f159(x94181,x94182),x94183),x94184)))+P105(f844(f844(f328(x94181),x94184),f844(f844(f3(f916(x94181,a904)),f844(f172(x94181),x94182)),f844(f844(f308(x94181),f844(f844(f164(x94181),x94182),x94183)),f188(f916(x94181,a904))))))
% 202.05/201.93 [9435]~P105(f844(f60(x94352),x94353))+~P105(f844(f60(x94351),f844(x94354,f455(x94354,x94351,x94353,x94352))))+P105(f844(f60(x94351),f844(f844(f39(x94352,f916(x94351,a904)),x94353),x94354)))
% 202.05/201.93 [9436]~P105(f844(f60(x94362),x94363))+~P105(f844(f60(x94361),f844(x94364,f572(x94364,x94361,x94363,x94362))))+P105(f844(f60(x94361),f844(f844(f39(x94362,f916(x94361,a904)),x94363),x94364)))
% 202.05/201.93 [9514]~P105(f844(f844(f328(f915(x95141,x95141)),x95142),f844(f844(f288(x95141,x95141,x95141),x95144),f306(x95141,x95144))))+P105(f844(f844(f328(f915(x95141,x95141)),x95142),f844(f844(f288(x95141,x95141,x95141),x95143),f306(x95141,x95143))))+~P105(f844(f844(f234(f916(f915(x95141,x95141),a904)),x95144),x95143))
% 202.05/201.93 [9522]E(f844(f844(f175(x95221),f649(x95224,x95223,x95222,x95221)),x95223),f844(f844(f175(x95221),f649(x95224,x95223,x95222,x95221)),x95222))+~P105(f844(f844(f328(f915(f909(x95221),f909(x95221))),f844(f844(f251(f909(x95221),f909(x95221)),x95222),x95223)),f147(x95221,x95224)))+E(f844(f844(f175(x95221),f844(f189(f909(x95221)),x95222)),x95223),x95222)
% 202.05/201.93 [9538]~P105(f844(f60(x95381),x95384))+E(f844(f844(f8(x95381,a908),f844(f844(f10(f916(x95382,a904),a908,x95381),f34(x95382)),x95383)),x95384),f844(f34(f915(x95381,x95382)),f844(f844(f253(x95381,x95382),x95384),x95383)))+~P105(f844(f60(x95382),f844(x95383,f532(x95383,x95382,x95384,x95381))))
% 202.05/201.93 [9542]~E(f844(f189(f909(x95421)),x95423),f844(f189(f909(x95421)),x95422))+P105(f844(f844(f328(f915(f909(x95421),f909(x95421))),f844(f844(f251(f909(x95421),f909(x95421)),x95422),x95423)),f158(x95421,x95424)))+P105(f844(f844(f328(f915(x95421,x95421)),f653(x95424,x95423,x95422,x95421)),f844(f172(f915(x95421,x95421)),f844(f844(f181(x95421,x95421),x95422),x95423))))
% 202.05/201.93 [9622]~P105(f844(f844(f328(f915(f909(x96221),f909(x96221))),f844(f844(f251(f909(x96221),f909(x96221)),x96222),x96223)),f147(x96221,x96224)))+E(f844(f844(f175(x96221),f844(f189(f909(x96221)),x96222)),x96223),x96222)+P105(f844(f844(f235(a908),f649(x96224,x96223,x96222,x96221)),f844(f844(f232(a908),f844(f189(f909(x96221)),x96222)),f844(f189(f909(x96221)),x96223))))
% 202.05/201.93 [9646]~P105(f844(f844(f328(f915(f909(x96461),f909(x96461))),f844(f844(f251(f909(x96461),f909(x96461)),x96462),x96463)),f147(x96461,x96464)))+P105(f844(f844(f235(a908),f844(f189(f909(x96461)),x96462)),f844(f189(f909(x96461)),x96463)))+P105(f844(f844(f235(a908),f649(x96464,x96463,x96462,x96461)),f844(f844(f232(a908),f844(f189(f909(x96461)),x96462)),f844(f189(f909(x96461)),x96463))))
% 202.05/201.93 [10048]~P105(f844(f844(f328(f915(f909(x100481),f909(x100481))),f844(f844(f251(f909(x100481),f909(x100481)),x100482),x100483)),f147(x100481,x100484)))+E(f844(f844(f175(x100481),f844(f189(f909(x100481)),x100482)),x100483),x100482)+P105(f844(f844(f328(f915(x100481,x100481)),f844(f844(f251(x100481,x100481),f844(f844(f164(x100481),x100482),f649(x100484,x100483,x100482,x100481))),f844(f844(f164(x100481),x100483),f649(x100484,x100483,x100482,x100481)))),x100484))
% 202.05/201.93 [10049]~P105(f844(f844(f328(f915(f909(x100491),f909(x100491))),f844(f844(f251(f909(x100491),f909(x100491)),x100492),x100493)),f147(x100491,x100494)))+P105(f844(f844(f235(a908),f844(f189(f909(x100491)),x100492)),f844(f189(f909(x100491)),x100493)))+P105(f844(f844(f328(f915(x100491,x100491)),f844(f844(f251(x100491,x100491),f844(f844(f164(x100491),x100492),f649(x100494,x100493,x100492,x100491))),f844(f844(f164(x100491),x100493),f649(x100494,x100493,x100492,x100491)))),x100494))
% 202.05/201.93 [10117]~E(f844(f189(f909(x101171)),x101172),f844(f189(f909(x101171)),x101173))+P105(f844(f844(f328(f915(f909(x101171),f909(x101171))),f844(f844(f251(f909(x101171),f909(x101171)),x101172),x101173)),f158(x101171,x101174)))+~P105(f844(f844(f328(f915(x101171,x101171)),f844(f844(f251(x101171,x101171),f844(f844(f164(x101171),x101172),f634(x101174,x101173,x101172,x101171))),f844(f844(f164(x101171),x101173),f634(x101174,x101173,x101172,x101171)))),x101174))
% 202.05/201.93 [10262]~P69(x102621)+~P105(f844(f60(x102622),x102624))+E(f844(f165(x102621),f844(f844(f154(x102622,x102621),x102623),f89(f909(x102622),f844(f844(f20(f909(x102622),a904,a904),f844(f844(f10(a904,f916(a904,a904),f909(x102622)),a325),f844(f844(f9(f909(x102622),f916(x102622,a904),a904),f844(f844(f10(f916(x102622,a904),f916(f916(x102622,a904),a904),f909(x102622)),a324),f172(x102622))),x102624))),f137(x102622))))),f231(x102622,x102621,x102623,x102624))
% 202.05/201.93 [7558]~P62(x75582)+E(x75581,f2(x75582))+E(f844(f844(f290(x75582),f844(f844(f79(x75582),x75583),f844(f844(f80(x75582),x75584),x75581))),x75581),f844(f844(f79(x75582),x75584),f844(f844(f290(x75582),x75583),x75581)))
% 202.05/201.93 [7559]~P59(x75592)+E(x75591,f2(x75592))+E(f844(f844(f35(x75592),f844(f844(f79(x75592),x75593),f844(f844(f80(x75592),x75594),x75591))),x75591),f844(f844(f79(x75592),x75594),f844(f844(f35(x75592),x75593),x75591)))
% 202.05/201.93 [7560]~P59(x75602)+E(x75601,f2(x75602))+E(f844(f844(f35(x75602),f844(f844(f79(x75602),x75603),f844(f844(f80(x75602),x75601),x75604))),x75601),f844(f844(f79(x75602),x75604),f844(f844(f35(x75602),x75603),x75601)))
% 202.05/201.93 [7784]~P63(x77842)+E(x77841,f2(x77842))+E(f844(f844(f290(x77842),f844(f844(f3(x77842),x77843),f844(f844(f80(x77842),x77841),x77844))),x77841),f844(f844(f3(x77842),f844(f844(f290(x77842),x77843),x77841)),x77844))
% 202.05/201.93 [7785]~P62(x77852)+E(x77851,f2(x77852))+E(f844(f844(f290(x77852),f844(f844(f79(x77852),x77853),f844(f844(f80(x77852),x77854),x77851))),x77851),f844(f844(f79(x77852),f844(f844(f290(x77852),x77853),x77851)),x77854))
% 202.05/201.93 [7786]~P63(x77862)+E(x77861,f2(x77862))+E(f844(f844(f290(x77862),f844(f844(f79(x77862),x77863),f844(f844(f80(x77862),x77861),x77864))),x77861),f844(f844(f79(x77862),f844(f844(f290(x77862),x77863),x77861)),x77864))
% 202.05/201.93 [8475]~P105(f844(f160(x84751,x84753),x84754))+~P105(f844(f160(x84751,x84752),x84754))+P105(f844(f160(x84751,f844(f844(f101(f916(x84751,a904)),x84752),x84753)),x84754))
% 202.05/201.93 [8845]~E(f844(f844(f288(x88451,x88451,x88451),x88452),x88454),f188(f916(f915(x88451,x88451),a904)))+~E(f844(f844(f288(x88451,x88451,x88451),x88452),x88453),f188(f916(f915(x88451,x88451),a904)))+E(f844(f844(f288(x88451,x88451,x88451),x88452),f844(f844(f110(f916(f915(x88451,x88451),a904)),x88453),x88454)),f188(f916(f915(x88451,x88451),a904)))
% 202.05/201.93 [8971]~P105(f844(f844(f234(f916(x89711,a904)),x89713),x89714))+~P105(f844(f844(f234(f916(x89711,a904)),x89712),x89714))+P105(f844(f844(f234(f916(x89711,a904)),f844(f844(f110(f916(x89711,a904)),x89712),x89713)),x89714))
% 202.05/201.93 [9342]~P105(f844(f60(x93421),x93424))+~P105(f844(f60(x93421),x93423))+E(f844(f844(f3(a908),f844(f844(f79(a908),f844(f844(f8(x93421,a908),x93422),x93423)),f844(f844(f8(x93421,a908),x93422),x93424))),f844(f844(f8(x93421,a908),x93422),f844(f844(f101(f916(x93421,a904)),x93423),x93424))),f844(f844(f8(x93421,a908),x93422),f844(f844(f110(f916(x93421,a904)),x93423),x93424)))
% 202.05/201.93 [9432]~P105(f844(f844(f328(x94321),x94323),x94322))+~P105(f844(f844(f234(f916(x94321,a904)),x94322),f844(f844(f308(x94321),x94323),x94324)))+P105(f844(f844(f234(f916(x94321,a904)),f844(f844(f3(f916(x94321,a904)),x94322),f844(f844(f308(x94321),x94323),f188(f916(x94321,a904))))),x94324))
% 202.05/201.93 [9598]~P105(f844(f844(f328(x95981),x95983),x95982))+P105(f844(f844(f234(f916(x95981,a904)),x95982),f844(f844(f308(x95981),x95983),x95984)))+~P105(f844(f844(f234(f916(x95981,a904)),f844(f844(f3(f916(x95981,a904)),x95982),f844(f844(f308(x95981),x95983),f188(f916(x95981,a904))))),x95984))
% 202.05/201.93 [9686]~P105(f844(f844(f234(a908),x96861),x96863))+~P105(f844(f844(f235(a908),x96862),x96864))+P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),f844(f844(f251(a908,a908),x96861),x96862)),f844(f844(f251(a908,a908),x96863),x96864))),a32))
% 202.05/201.93 [9687]~P105(f844(f844(f234(a908),x96872),x96874))+~P105(f844(f844(f234(a908),x96871),x96873))+P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),f844(f844(f251(a908,a908),x96871),x96872)),f844(f844(f251(a908,a908),x96873),x96874))),a70))
% 202.05/201.93 [9978]~P105(f844(f844(f328(f909(x99781)),x99784),f161(x99781,x99783)))+~P105(f844(f844(f328(f909(x99781)),x99784),f161(x99781,x99782)))+P105(f844(f160(x99781,f844(f844(f101(f916(x99781,a904)),f844(f844(f9(x99781,f916(x99781,a904),a904),f328(x99781)),x99782)),f844(f844(f9(x99781,f916(x99781,a904),a904),f328(x99781)),x99783))),x99784))
% 202.05/201.93 [10083]~P24(x100831,f916(f916(x100831,a904),a904),f844(f844(f9(x100831,f916(f915(x100831,x100831),a904),f916(f916(x100831,a904),a904)),f844(f844(f10(f916(x100831,a904),f916(f916(f915(x100831,x100831),a904),f916(f916(x100831,a904),a904)),x100831),f59(x100831)),f844(f844(f9(x100831,f916(x100831,a904),f916(x100831,a904)),f308(x100831)),f188(f916(x100831,a904))))),x100833),x100832)+~P105(f844(f844(f328(x100831),x100834),x100832))+E(f844(f844(f3(f916(f916(x100831,a904),a904)),f844(f844(f59(x100831),x100832),x100833)),f844(f844(f59(x100831),f844(f844(f308(x100831),x100834),f188(f916(x100831,a904)))),x100833)),f844(f844(f59(x100831),f844(f844(f3(f916(x100831,a904)),x100832),f844(f844(f308(x100831),x100834),f188(f916(x100831,a904))))),x100833))
% 202.05/201.93 [10218]~P51(x102181,x102182,x102184)+~P105(f844(f844(f328(f915(x102181,x102181)),x102183),x102184))+P105(f844(f844(f256(x102181,x102181,a904),f844(f844(f9(x102181,f916(x102181,a904),f916(x102181,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x102181,a904),f916(x102181,a904)),x102181),f10(a904,a904,x102181)),f844(f844(f10(a904,f916(a904,a904),x102181),a325),f844(f844(f9(x102181,f916(x102181,a904),a904),f328(x102181)),x102182)))),f844(f844(f9(x102181,f916(x102181,a904),a904),f328(x102181)),x102182))),x102183))
% 202.05/201.93 [10230]P105(f844(f60(x102301),x102302))+~P105(f844(f60(x102303),f844(f309(x102301,x102303,x102304),x102302)))+~P105(f844(f60(x102301),f844(f261(x102301),f844(f844(f20(x102301,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102301),a325),f844(f844(f9(x102301,f916(x102301,a904),a904),f328(x102301)),x102302))),f844(f844(f9(x102301,x102303,a904),f844(f844(f10(x102303,f916(x102303,a904),x102301),a324),x102304)),f844(x102304,f564(x102304,x102303,x102302,x102301)))))))
% 202.05/201.93 [8234]~P63(x82342)+E(x82341,f2(x82342))+E(f844(f844(f290(x82342),f844(f844(f3(x82342),f844(f844(f80(x82342),x82341),x82343)),x82344)),x82341),f844(f844(f3(x82342),x82343),f844(f844(f290(x82342),x82344),x82341)))
% 202.05/201.93 [8235]~P63(x82352)+E(x82351,f2(x82352))+E(f844(f844(f290(x82352),f844(f844(f79(x82352),f844(f844(f80(x82352),x82351),x82353)),x82354)),x82351),f844(f844(f79(x82352),x82353),f844(f844(f290(x82352),x82354),x82351)))
% 202.05/201.93 [9131]~E(f844(f844(f288(x91311,x91311,x91311),x91313),x91314),f188(f916(f915(x91311,x91311),a904)))+~E(f844(f844(f288(x91311,x91311,x91311),x91312),x91314),f188(f916(f915(x91311,x91311),a904)))+E(f844(f844(f288(x91311,x91311,x91311),f844(f844(f110(f916(f915(x91311,x91311),a904)),x91312),x91313)),x91314),f188(f916(f915(x91311,x91311),a904)))
% 202.05/201.93 [9895]~P105(f844(f160(x98951,x98953),x98954))+~P105(f844(f160(x98951,x98952),x98954))+P105(f844(f160(x98951,f844(f844(f20(x98951,a904,a904),f844(f844(f10(a904,f916(a904,a904),x98951),a325),x98952)),x98953)),x98954))
% 202.05/201.93 [10156]P105(f844(x101561,f546(x101562,x101563,x101561,x101564)))+~P105(f844(f60(x101564),f844(f261(x101564),x101561)))+P105(f844(f60(x101563),f844(f261(x101563),f844(f844(f10(f916(x101564,a904),a904,x101563),f86(x101564)),f844(f844(f10(f916(x101564,a904),f916(x101564,a904),x101563),f844(f20(x101564,a904,a904),f844(f844(f10(a904,f916(a904,a904),x101564),a325),x101561))),x101562)))))
% 202.05/201.93 [10174]~P105(f844(f60(x101742),f844(f261(x101742),x101743)))+~P105(f844(f60(x101741),f844(f261(x101741),f844(f844(f9(x101741,x101742,a904),x101744),f546(x101744,x101741,x101743,x101742)))))+P105(f844(f60(x101741),f844(f261(x101741),f844(f844(f10(f916(x101742,a904),a904,x101741),f86(x101742)),f844(f844(f10(f916(x101742,a904),f916(x101742,a904),x101741),f844(f20(x101742,a904,a904),f844(f844(f10(a904,f916(a904,a904),x101742),a325),x101743))),x101744)))))
% 202.05/201.93 [10241]~P105(f844(f60(x102411),x102414))+P105(f844(f844(f328(x102411),f781(x102412,x102413,x102414,x102411)),x102414))+P105(f844(f60(x102413),f844(f261(x102413),f844(f844(f10(f916(x102411,a904),a904,x102413),f86(x102411)),f844(f844(f10(f916(x102411,a904),f916(x102411,a904),x102413),f844(f20(x102411,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102411),a325),f844(f844(f9(x102411,f916(x102411,a904),a904),f328(x102411)),x102414)))),x102412)))))
% 202.05/201.93 [10247]~P105(f844(f60(x102472),x102473))+~P105(f844(f60(x102471),f844(f261(x102471),f844(f844(f9(x102471,x102472,a904),x102474),f781(x102474,x102471,x102473,x102472)))))+P105(f844(f60(x102471),f844(f261(x102471),f844(f844(f10(f916(x102472,a904),a904,x102471),f86(x102472)),f844(f844(f10(f916(x102472,a904),f916(x102472,a904),x102471),f844(f20(x102472,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102472),a325),f844(f844(f9(x102472,f916(x102472,a904),a904),f328(x102472)),x102473)))),x102474)))))
% 202.05/201.93 [5158]~E(x51582,x51584)+E(f169(x51581,x51582,x51583),f169(x51581,x51584,x51585))+~E(x51582,f2(a908))
% 202.05/201.93 [5412]E(x54121,x54122)+~E(f169(x54124,x54123,x54121),f169(x54124,x54125,x54122))+E(x54123,f2(a908))
% 202.05/201.93 [6687]E(x66871,x66872)+~E(f844(x66873,x66871),f844(x66873,x66872))+~P24(x66874,x66875,x66873,f241(f916(x66874,a904)))
% 202.05/201.93 [7590]E(x75901,x75902)+~P24(x75903,x75904,x75905,f241(f916(x75903,a904)))+~E(f844(f309(x75903,x75904,x75905),x75901),f844(f309(x75903,x75904,x75905),x75902))
% 202.05/201.93 [7837]P24(x78372,x78373,f500(x78374,x78373,x78372,x78371),x78371)+~E(f844(f309(x78373,x78372,x78375),x78374),x78371)+E(x78371,f188(f916(x78372,a904)))
% 202.05/201.93 [8359]~P105(f844(f844(x83593,x83592),x83595))+~P105(f844(f844(x83593,x83594),x83592))+P105(f844(f844(f328(x83591),x83592),f298(x83591,x83593,x83594,x83595)))
% 202.05/201.93 [8360]~P105(f844(f844(x83603,x83602),x83605))+~P105(f844(f844(x83603,x83604),x83602))+P105(f844(f844(f328(x83601),x83602),f289(x83601,x83603,x83604,x83605)))
% 202.05/201.93 [8662]~P24(x86621,x86622,x86623,x86624)+P25(x86621,x86622,x86623,x86624,x86625)+~E(f844(f309(x86621,x86622,x86623),x86624),x86625)
% 202.05/201.93 [8795]~P25(x87951,x87953,x87954,x87952,x87955)+~P105(f844(f60(x87953),x87955))+P105(f844(f60(x87951),x87952))
% 202.05/201.93 [8796]~P25(x87963,x87961,x87964,x87965,x87962)+~P105(f844(f60(x87963),x87965))+P105(f844(f60(x87961),x87962))
% 202.05/201.93 [8928]~P24(x89281,x89283,x89285,f241(f916(x89281,a904)))+~P24(x89283,x89282,x89284,f241(f916(x89283,a904)))+P24(x89281,x89282,f844(f72(x89283,x89282,x89281,x89284),x89285),f241(f916(x89281,a904)))
% 202.05/201.93 [9491]P105(f844(f844(f328(f915(x94911,x94911)),f844(f844(f251(x94911,x94911),x94912),x94913)),f306(x94911,x94914)))+~P105(f844(f844(f328(f915(x94911,x94911)),f844(f844(f251(x94911,x94911),x94912),x94915)),f306(x94911,x94914)))+~P105(f844(f844(f328(f915(x94911,x94911)),f844(f844(f251(x94911,x94911),x94915),x94913)),f306(x94911,x94914)))
% 202.05/201.93 [9529]~P108(x95292)+~P105(f844(f137(x95291),x95295))+P105(f844(f137(x95291),f149(x95291,x95292,x95293,x95294,x95295)))
% 202.05/201.93 [5488]~E(x54882,f113(x54881))+E(f844(f844(f134(x54881),x54882),x54883),f844(f844(f151(x54881),x54884),x54885))+~E(x54883,f844(f844(f151(x54881),x54884),x54885))
% 202.05/201.93 [5489]~E(x54892,f113(x54891))+E(f844(f844(f134(x54891),x54892),x54893),f844(f844(f151(x54891),x54894),x54895))+~E(f844(f844(f151(x54891),x54894),x54895),x54893)
% 202.05/201.93 [6643]~E(f844(f189(f909(x66431)),x66435),f844(f189(f909(x66432)),x66434))+E(f844(f844(f154(f915(x66431,x66432),x66432),f255(x66431,x66432)),x66433),x66434)+~E(f844(f844(f181(x66431,x66432),x66435),x66434),x66433)
% 202.05/201.93 [6644]~E(f844(f189(f909(x66441)),x66444),f844(f189(f909(x66442)),x66445))+E(f844(f844(f154(f915(x66441,x66442),x66441),f250(x66441,x66442)),x66443),x66444)+~E(f844(f844(f181(x66441,x66442),x66444),x66445),x66443)
% 202.05/201.93 [7126]~P108(x71261)+~P12(x71261,f844(f844(f154(x71262,x71261),x71263),x71265))+P12(x71261,f844(f844(f154(x71262,x71261),x71263),f844(f136(x71262,x71264),x71265)))
% 202.05/201.93 [7169]~P105(f844(x71693,x71695))+~P105(f844(f844(x71692,x71694),x71695))+P105(f844(f844(f92(x71691,x71692,x71693),x71694),x71695))
% 202.05/201.93 [7268]~P108(x72681)+P12(x72681,f844(f844(f154(x72682,x72681),x72683),f170(x72682,x72684,x72685)))+~P12(x72681,f844(f844(f154(x72682,x72681),x72683),x72685))
% 202.05/201.93 [7291]~P53(x72913,x72912,x72915)+~P53(x72911,x72913,x72914)+P53(x72911,x72912,f844(f844(f288(x72911,x72913,x72912),x72914),x72915))
% 202.05/201.93 [7385]E(x73851,x73852)+~P24(x73853,x73854,x73855,f241(f916(x73853,a904)))+~E(f844(f844(f154(x73853,x73854),x73855),x73851),f844(f844(f154(x73853,x73854),x73855),x73852))
% 202.05/201.93 [7543]~P105(f844(f844(f234(a908),x75431),f844(x75433,x75435)))+P105(f844(f844(f234(a908),x75431),f155(x75432,x75433,x75434)))+~P105(f844(f844(f328(x75432),x75435),f844(f172(x75432),x75434)))
% 202.05/201.93 [7544]~P105(f844(f844(f235(a908),x75441),f844(x75443,x75445)))+P105(f844(f844(f235(a908),x75441),f155(x75442,x75443,x75444)))+~P105(f844(f844(f328(x75442),x75445),f844(f172(x75442),x75444)))
% 202.05/201.93 [7933]P105(f844(x79331,x79332))+~P105(f844(x79331,x79333))+~P105(f844(f844(f328(x79334),x79332),f844(f172(x79334),f169(x79334,x79335,x79333))))
% 202.05/201.93 [7934]P105(f844(x79341,x79342))+~P105(f844(x79341,x79343))+~P105(f844(f844(f328(x79344),x79343),f844(f172(x79344),f169(x79344,x79345,x79342))))
% 202.05/201.93 [7938]~P109(x79381)+P105(f844(f844(f234(f916(x79381,a904)),f302(x79381,x79382,x79383)),f302(x79381,x79384,x79385)))+P105(f844(f844(f234(x79381),x79382),x79383))
% 202.05/201.93 [7959]~P4(x79591)+P105(f844(f844(f234(x79591),f844(f844(f38(x79592,x79591),x79593),x79594)),f844(x79594,x79595)))+~P105(f844(f844(f328(x79592),x79595),x79593))
% 202.05/201.93 [8026]~P24(x80261,x80262,x80264,x80263)+E(f844(f76(x80261,x80262,x80263,x80264),f844(x80264,x80265)),x80265)+~P105(f844(f844(f328(x80261),x80265),x80263))
% 202.05/201.93 [8027]~P24(x80271,x80272,x80274,x80273)+E(f844(f90(x80271,x80272,x80273,x80274),f844(x80274,x80275)),x80275)+~P105(f844(f844(f328(x80271),x80275),x80273))
% 202.05/201.93 [8223]~P105(f844(x82231,x82235))+P105(f844(x82231,f860(x82231,x82232,x82233,x82234)))+~P105(f844(f844(f328(x82234),x82235),x82233))
% 202.05/201.93 [8224]~P105(f844(x82241,x82245))+P105(f844(x82241,f860(x82241,x82242,x82243,x82244)))+~P105(f844(f844(f328(x82244),x82245),x82242))
% 202.05/201.93 [8313]P105(f844(f60(x83131),x83132))+~P105(f844(f60(x83133),x83134))+~P105(f844(f844(f234(f916(x83131,a904)),x83132),f844(f309(x83133,x83131,x83135),x83134)))
% 202.05/201.93 [8479]E(x84791,x84792)+~P24(x84793,x84794,x84795,f844(f844(f110(f916(x84793,a904)),f844(f172(x84793),x84791)),f844(f172(x84793),x84792)))+~E(f844(f844(f154(x84793,x84794),x84795),x84791),f844(f844(f154(x84793,x84794),x84795),x84792))
% 202.05/201.93 [8531]~P109(x85311)+~P105(f844(f844(f235(f916(x85311,a904)),f302(x85311,x85314,x85315)),f302(x85311,x85312,x85313)))+P105(f844(f844(f234(x85311),x85312),x85313))
% 202.05/201.93 [8593]~P24(x85931,x85934,x85935,f241(f916(x85931,a904)))+~P105(f844(f844(f328(x85934),f844(x85935,x85932)),f844(f309(x85931,x85934,x85935),x85933)))+P105(f844(f844(f328(x85931),x85932),x85933))
% 202.05/201.93 [8668]P105(f844(x86681,x86682))+~P105(f844(x86681,f871(x86681,x86683,x86684,x86685)))+~P105(f844(f844(f328(x86685),x86682),x86684))
% 202.05/201.93 [8669]P105(f844(x86691,x86692))+~P105(f844(x86691,f871(x86691,x86693,x86694,x86695)))+~P105(f844(f844(f328(x86695),x86692),x86693))
% 202.05/201.93 [8968]~P24(x89682,x89683,x89681,x89684)+E(f844(x89681,f844(f76(x89682,x89683,x89684,x89681),x89685)),x89685)+~P105(f844(f844(f328(x89683),x89685),f844(f309(x89682,x89683,x89681),x89684)))
% 202.05/201.93 [9071]E(x90711,f113(x90712))+E(f844(f844(f151(x90712),x90713),f670(x90714,x90713,x90715,x90711,x90712)),x90711)+~E(f844(f844(f134(x90712),x90711),x90715),f844(f844(f151(x90712),x90713),x90714))
% 202.05/201.93 [9072]E(x90721,f113(x90722))+E(f844(f844(f151(x90722),x90723),f671(x90724,x90721,x90725,x90723,x90722)),x90721)+~E(f844(f844(f134(x90722),x90721),x90724),f844(f844(f151(x90722),x90723),x90725))
% 202.05/201.93 [9090]E(f844(f844(f151(x90902),x90903),f670(x90904,x90903,x90901,x90905,x90902)),x90905)+~E(f844(f844(f134(x90902),x90905),x90901),f844(f844(f151(x90902),x90903),x90904))+E(x90901,f844(f844(f151(x90902),x90903),x90904))
% 202.05/201.93 [9091]E(f844(f844(f151(x90911),x90912),f671(x90914,x90915,x90913,x90912,x90911)),x90915)+~E(f844(f844(f134(x90911),x90915),x90914),f844(f844(f151(x90911),x90912),x90913))+E(f844(f844(f151(x90911),x90912),x90913),x90914)
% 202.05/201.93 [9167]~E(f844(f309(x91673,x91672,x91674),f241(f916(x91673,a904))),f241(f916(x91672,a904)))+~E(f844(f309(x91671,x91673,x91675),f241(f916(x91671,a904))),f241(f916(x91673,a904)))+E(f844(f309(x91671,x91672,f844(f72(x91673,x91672,x91671,x91674),x91675)),f241(f916(x91671,a904))),f241(f916(x91672,a904)))
% 202.05/201.93 [9535]E(x95351,f113(x95352))+~E(f844(f844(f134(x95352),x95351),x95353),f844(f844(f151(x95352),x95355),x95354))+E(f844(f844(f134(x95352),f671(x95353,x95351,x95354,x95355,x95352)),x95353),x95354)
% 202.05/201.93 [9536]E(x95361,f113(x95362))+~E(f844(f844(f134(x95362),x95361),x95365),f844(f844(f151(x95362),x95364),x95363))+E(f844(f844(f134(x95362),f670(x95363,x95364,x95365,x95361,x95362)),x95365),x95363)
% 202.05/201.93 [9543]E(f844(f844(f134(x95432),f670(x95434,x95433,x95431,x95435,x95432)),x95431),x95434)+~E(f844(f844(f134(x95432),x95435),x95431),f844(f844(f151(x95432),x95433),x95434))+E(x95431,f844(f844(f151(x95432),x95433),x95434))
% 202.05/201.93 [9544]~E(f844(f844(f134(x95441),x95445),x95444),f844(f844(f151(x95441),x95442),x95443))+E(f844(f844(f134(x95441),f671(x95444,x95445,x95443,x95442,x95441)),x95444),x95443)+E(f844(f844(f151(x95441),x95442),x95443),x95444)
% 202.05/201.93 [9545]E(f844(f844(f134(x95451),x95455),f673(x95453,x95452,x95454,x95455,x95451)),x95452)+E(f844(f844(f134(x95451),x95452),f672(x95453,x95452,x95454,x95455,x95451)),x95455)+~E(f844(f844(f134(x95451),x95455),x95454),f844(f844(f134(x95451),x95452),x95453))
% 202.05/201.93 [9581]~P108(x95811)+P12(x95811,f844(f844(f154(x95812,x95811),x95813),f149(x95812,x95811,x95813,x95814,x95815)))+~P12(x95811,f844(f844(f154(x95812,x95811),x95813),x95815))
% 202.05/201.93 [9595]~P57(x95955,x95951,x95954,x95953)+P105(f844(f844(x95951,x95952),f517(x95953,x95954,x95951,x95955,x95952)))+~P105(f844(f844(f328(x95955),x95952),x95954))
% 202.05/201.93 [9596]~P57(x95965,x95961,x95964,x95963)+P105(f844(f844(x95961,x95962),f785(x95963,x95964,x95961,x95965,x95962)))+~P105(f844(f844(f328(x95965),x95962),x95964))
% 202.05/201.93 [9698]~P105(f844(f844(f328(f915(x96981,x96981)),f844(f844(f251(x96981,x96981),x96985),x96983)),f306(x96981,x96984)))+P105(f844(f844(f328(f915(x96981,x96981)),f844(f844(f251(x96981,x96981),x96982),x96983)),f844(f844(f288(x96981,x96981,x96981),x96984),f306(x96981,x96984))))+~P105(f844(f844(f328(f915(x96981,x96981)),f844(f844(f251(x96981,x96981),x96982),x96985)),f844(f844(f288(x96981,x96981,x96981),x96984),f306(x96981,x96984))))
% 202.05/201.93 [9699]~P105(f844(f844(f328(f915(x96991,x96991)),f844(f844(f251(x96991,x96991),x96992),x96995)),f306(x96991,x96994)))+P105(f844(f844(f328(f915(x96991,x96991)),f844(f844(f251(x96991,x96991),x96992),x96993)),f844(f844(f288(x96991,x96991,x96991),x96994),f306(x96991,x96994))))+~P105(f844(f844(f328(f915(x96991,x96991)),f844(f844(f251(x96991,x96991),x96995),x96993)),f844(f844(f288(x96991,x96991,x96991),x96994),f306(x96991,x96994))))
% 202.05/201.93 [9701]P105(f844(f844(f328(f915(f909(x97011),f909(x97011))),f844(f844(f251(f909(x97011),f909(x97011)),x97012),x97013)),f158(x97011,f306(x97011,x97014))))+~P105(f844(f844(f328(f915(f909(x97011),f909(x97011))),f844(f844(f251(f909(x97011),f909(x97011)),x97012),x97015)),f158(x97011,f306(x97011,x97014))))+~P105(f844(f844(f328(f915(f909(x97011),f909(x97011))),f844(f844(f251(f909(x97011),f909(x97011)),x97015),x97013)),f158(x97011,f306(x97011,x97014))))
% 202.05/201.93 [9705]E(f844(f844(f134(x97051),x97052),f672(x97053,x97052,x97054,x97055,x97051)),x97055)+E(f844(f844(f134(x97051),f673(x97053,x97052,x97054,x97055,x97051)),x97053),x97054)+~E(f844(f844(f134(x97051),x97052),x97053),f844(f844(f134(x97051),x97055),x97054))
% 202.05/201.93 [9706]E(f844(f844(f134(x97061),x97062),f673(x97063,x97064,x97065,x97062,x97061)),x97064)+E(f844(f844(f134(x97061),f672(x97063,x97064,x97065,x97062,x97061)),x97065),x97063)+~E(f844(f844(f134(x97061),x97062),x97065),f844(f844(f134(x97061),x97064),x97063))
% 202.05/201.93 [9760]P105(f844(f844(f328(f915(x97601,x97601)),f844(f844(f251(x97601,x97601),x97602),x97603)),f844(f844(f288(x97601,x97601,x97601),x97604),f306(x97601,x97604))))+~P105(f844(f844(f328(f915(x97601,x97601)),f844(f844(f251(x97601,x97601),x97602),x97605)),f844(f844(f288(x97601,x97601,x97601),x97604),f306(x97601,x97604))))+~P105(f844(f844(f328(f915(x97601,x97601)),f844(f844(f251(x97601,x97601),x97605),x97603)),f844(f844(f288(x97601,x97601,x97601),x97604),f306(x97601,x97604))))
% 202.05/201.93 [9787]P33(x97871,x97872,x97873,x97874,x97875)+~E(f844(f189(f909(x97871)),x97874),f844(f189(f909(x97872)),x97875))+~P105(f844(f844(f256(x97871,x97872,a904),x97873),f686(x97875,x97874,x97873,x97872,x97871)))
% 202.05/201.93 [9788]P33(x97881,x97882,x97883,x97884,x97885)+~E(f844(f189(f909(x97881)),x97884),f844(f189(f909(x97882)),x97885))+~P105(f844(f844(f256(x97881,x97882,a904),x97883),f691(x97883,x97885,x97884,x97882,x97881)))
% 202.05/201.93 [9794]E(f844(f844(f134(x97941),f672(x97942,x97943,x97944,x97945,x97941)),x97944),x97942)+~E(f844(f844(f134(x97941),x97943),x97942),f844(f844(f134(x97941),x97945),x97944))+E(f844(f844(f134(x97941),f673(x97942,x97943,x97944,x97945,x97941)),x97942),x97944)
% 202.05/201.93 [9809]~P108(x98092)+E(f844(f844(f148(x98091,x98092,x98093),x98094),x98095),f844(f844(f151(x98091),x98094),x98095))+P105(f844(f844(f328(x98091),f733(x98094,x98093,x98095,x98091,x98092)),f844(f172(x98091),x98095)))
% 202.05/201.93 [9813]~P57(x98131,x98134,x98133,x98132)+~P105(f844(f844(f328(x98131),x98135),x98133))+P105(f844(f844(f328(x98131),f517(x98132,x98133,x98134,x98131,x98135)),x98132))
% 202.05/201.93 [9814]~P57(x98141,x98144,x98143,x98142)+~P105(f844(f844(f328(x98141),x98145),x98143))+P105(f844(f844(f328(x98141),f785(x98142,x98143,x98144,x98141,x98145)),x98142))
% 202.05/201.93 [9928]~P105(f844(f844(f328(f915(f916(x99281,a904),f916(x99281,a904))),f844(f844(f251(f916(x99281,a904),f916(x99281,a904)),x99284),x99283)),f317(x99281,x99282)))+~P105(f844(f844(f328(x99281),x99285),x99284))+P105(f844(f844(f328(x99281),f593(x99282,x99283,x99284,x99281,x99285)),x99283))
% 202.05/201.93 [9938]~P108(x99382)+E(f844(f844(f148(x99381,x99382,x99383),x99384),x99385),f844(f844(f151(x99381),x99384),x99385))+~P105(f844(f844(f234(x99382),f844(x99383,x99384)),f844(x99383,f733(x99384,x99383,x99385,x99381,x99382))))
% 202.05/201.93 [9987]~P24(x99873,x99874,x99875,f241(f916(x99873,a904)))+P105(f844(x99871,x99872))+~P105(f844(x99871,f844(f90(x99873,x99874,f241(f916(x99873,a904)),x99875),f801(x99872,x99871,x99875,x99874,x99873))))
% 202.05/201.93 [10134]P33(x101341,x101342,x101343,x101344,x101345)+~E(f844(f189(f909(x101341)),x101344),f844(f189(f909(x101342)),x101345))+~P105(f844(f844(x101343,f844(f844(f164(x101341),x101344),f687(x101345,x101344,x101343,x101342,x101341))),f844(f844(f164(x101342),x101345),f687(x101345,x101344,x101343,x101342,x101341))))
% 202.05/201.93 [10135]P33(x101351,x101352,x101353,x101354,x101355)+~E(f844(f189(f909(x101351)),x101354),f844(f189(f909(x101352)),x101355))+~P105(f844(f844(x101353,f844(f844(f164(x101351),x101354),f725(x101353,x101355,x101352,x101354,x101351))),f844(f844(f164(x101352),x101355),f725(x101353,x101355,x101352,x101354,x101351))))
% 202.05/201.93 [6718]~P16(x67182,x67185,x67181)+~P105(f844(f60(x67182),x67184))+E(f844(x67181,f844(f844(f308(x67182),x67183),x67184)),f844(f844(f63(x67182,x67182,x67185),x67183),x67184))
% 202.05/201.93 [6719]~E(x67193,x67194)+~E(x67192,x67195)+E(f844(f844(f308(x67191),x67192),f844(f844(f308(x67191),x67193),f188(f916(x67191,a904)))),f844(f844(f308(x67191),x67194),f844(f844(f308(x67191),x67195),f188(f916(x67191,a904)))))
% 202.05/201.93 [6730]P105(f844(x67302,x67305))+E(f177(x67301,x67302,f844(f844(f134(x67301),x67303),x67304)),f177(x67301,x67302,x67303))+~P105(f844(f844(f328(x67301),x67305),f844(f172(x67301),x67303)))
% 202.05/201.93 [6768]E(f844(x67681,x67682),f188(f916(x67683,a904)))+~E(f844(f844(f39(x67684,f916(x67683,a904)),x67685),x67681),f188(f916(x67683,a904)))+~P105(f844(f844(f328(x67684),x67682),x67685))
% 202.05/201.93 [6769]E(f844(x67691,x67692),f241(f916(x67693,a904)))+~E(f844(f844(f38(x67694,f916(x67693,a904)),x67695),x67691),f241(f916(x67693,a904)))+~P105(f844(f844(f328(x67694),x67692),x67695))
% 202.05/201.93 [7278]~E(x72782,x72784)+~P137(x72781)+E(f844(f844(f79(x72781),f844(f844(f80(x72781),x72782),x72783)),f844(f844(f80(x72781),x72784),x72785)),f844(f844(f79(x72781),f844(f844(f80(x72781),x72782),x72785)),f844(f844(f80(x72781),x72784),x72783)))
% 202.05/201.93 [7338]~P4(x73381)+~P105(f844(f844(f328(x73384),x73383),x73385))+P105(f844(f844(f234(x73381),f844(x73382,x73383)),f844(f844(f39(x73384,x73381),x73385),x73382)))
% 202.05/201.93 [7390]~P107(x73901)+P105(f844(f844(f234(x73901),f844(x73902,x73903)),f844(x73904,x73903)))+~P105(f844(f844(f234(f916(x73905,x73901)),x73902),x73904))
% 202.05/201.93 [7514]E(x75141,x75142)+E(x75143,x75141)+~E(f844(f844(f308(x75144),x75141),f844(f844(f308(x75144),x75145),f188(f916(x75144,a904)))),f844(f844(f308(x75144),x75142),f844(f844(f308(x75144),x75143),f188(f916(x75144,a904)))))
% 202.05/201.93 [7515]E(x75151,x75152)+E(x75153,x75151)+~E(f844(f844(f308(x75154),x75153),f844(f844(f308(x75154),x75152),f188(f916(x75154,a904)))),f844(f844(f308(x75154),x75155),f844(f844(f308(x75154),x75151),f188(f916(x75154,a904)))))
% 202.05/201.93 [7516]E(x75161,x75162)+E(x75161,x75163)+~E(f844(f844(f308(x75164),x75163),f844(f844(f308(x75164),x75162),f188(f916(x75164,a904)))),f844(f844(f308(x75164),x75165),f844(f844(f308(x75164),x75161),f188(f916(x75164,a904)))))
% 202.05/201.93 [7517]E(x75171,x75172)+E(x75171,x75173)+~E(f844(f844(f308(x75174),x75171),f844(f844(f308(x75174),x75175),f188(f916(x75174,a904)))),f844(f844(f308(x75174),x75172),f844(f844(f308(x75174),x75173),f188(f916(x75174,a904)))))
% 202.05/201.93 [8036]P24(x80361,x80362,x80363,x80364)+~P24(x80361,x80362,x80363,x80365)+~P105(f844(f844(f234(f916(x80361,a904)),x80364),x80365))
% 202.05/201.93 [8065]~E(f844(x80653,x80655),x80654)+~P24(x80651,x80652,x80653,f241(f916(x80651,a904)))+E(f844(f90(x80651,x80652,f241(f916(x80651,a904)),x80653),x80654),x80655)
% 202.05/201.93 [8211]E(x82111,x82112)+~E(f844(f309(x82113,x82114,x82115),x82111),f844(f309(x82113,x82114,x82115),x82112))+~P24(x82113,x82114,x82115,f844(f844(f110(f916(x82113,a904)),x82111),x82112))
% 202.05/201.93 [8283]P105(f844(x82832,x82834))+E(f844(f844(f138(x82831),f844(f189(f909(x82831)),f177(x82831,x82832,x82833))),x82833),f844(f844(f151(x82831),x82834),x82835))+~E(f844(f844(f134(x82831),f177(x82831,x82832,x82833)),f844(f844(f151(x82831),x82834),x82835)),x82833)
% 202.05/201.93 [8311]~P24(x83111,x83112,x83113,x83115)+~P24(x83111,x83112,x83113,x83114)+P24(x83111,x83112,x83113,f844(f844(f101(f916(x83111,a904)),x83114),x83115))
% 202.05/201.93 [8418]~P69(x84181)+E(f844(f844(f79(x84181),f844(x84182,x84183)),f844(f165(x84181),f844(f844(f154(x84184,x84181),x84182),f170(x84184,x84183,x84185)))),f844(f165(x84181),f844(f844(f154(x84184,x84181),x84182),x84185)))+~P105(f844(f844(f328(x84184),x84183),f844(f172(x84184),x84185)))
% 202.05/201.93 [8505]~P108(x85051)+~P12(x85051,f844(f844(f154(x85052,x85051),x85053),x85055))+P12(x85051,f844(f844(f154(x85052,x85051),x85053),f844(f844(f148(x85052,x85051,x85053),x85054),x85055)))
% 202.05/201.93 [8589]~P4(x85891)+P105(f844(f844(f234(x85891),f844(f844(f38(x85892,x85891),x85893),x85894)),f844(f844(f38(x85892,x85891),x85895),x85894)))+~P105(f844(f844(f234(f916(x85892,a904)),x85895),x85893))
% 202.05/201.93 [8590]~P4(x85901)+P105(f844(f844(f234(x85901),f844(f844(f39(x85902,x85901),x85903),x85904)),f844(f844(f39(x85902,x85901),x85905),x85904)))+~P105(f844(f844(f234(f916(x85902,a904)),x85903),x85905))
% 202.05/201.93 [8623]~P108(x86233)+P105(f844(f137(x86231),x86232))+~P105(f844(f137(x86231),f844(f844(f148(x86231,x86233,x86234),x86235),x86232)))
% 202.05/201.93 [8767]~P108(x87671)+~P105(f844(f844(f328(x87672),x87673),f844(f172(x87672),x87674)))+~P105(f844(f137(x87672),f844(f844(f148(x87672,x87671,x87675),x87673),x87674)))
% 202.05/201.93 [8857]~P108(x88571)+P12(x88571,f844(f844(f154(x88572,x88571),x88573),x88574))+~P12(x88571,f844(f844(f154(x88572,x88571),x88573),f844(f844(f148(x88572,x88571,x88573),x88575),x88574)))
% 202.05/201.93 [8903]~P24(x89032,x89031,x89034,x89033)+E(f844(f309(x89031,x89032,f90(x89032,x89031,x89033,x89034)),f844(f309(x89032,x89031,x89034),x89035)),x89035)+~P105(f844(f844(f234(f916(x89032,a904)),x89035),x89033))
% 202.05/201.93 [8956]~P108(x89562)+E(f844(f844(f148(x89561,x89562,x89563),x89564),x89565),f149(x89561,x89562,x89563,x89564,x89565))+P105(f844(f844(f328(x89562),f844(x89563,x89564)),f844(f309(x89561,x89562,x89563),f844(f172(x89561),x89565))))
% 202.05/201.93 [9037]~P108(x90372)+E(f149(x90371,x90372,x90373,x90374,x90375),x90375)+~P105(f844(f844(f328(x90372),f844(x90373,x90374)),f844(f309(x90371,x90372,x90373),f844(f172(x90371),x90375))))
% 202.05/201.93 [9051]~P24(x90512,x90511,x90513,x90515)+P105(f844(f844(f235(f916(x90511,a904)),f844(f309(x90512,x90511,x90513),x90514)),f844(f309(x90512,x90511,x90513),x90515)))+~P105(f844(f844(f235(f916(x90512,a904)),x90514),x90515))
% 202.05/201.93 [9208]~P24(x92081,x92082,x92083,f241(f916(x92081,a904)))+~P105(f844(f844(f234(f916(x92082,a904)),x92084),f844(f309(x92081,x92082,x92083),x92085)))+P105(f844(f844(f234(f916(x92081,a904)),f844(f310(x92081,x92082,x92083),x92084)),x92085))
% 202.05/201.93 [9231]~E(f844(f309(x92313,x92311,x92314),f241(f916(x92313,a904))),f241(f916(x92311,a904)))+P105(f844(f844(f234(f916(x92311,a904)),x92312),f844(f309(x92313,x92311,x92314),x92315)))+~P105(f844(f844(f234(f916(x92313,a904)),f844(f310(x92313,x92311,x92314),x92312)),x92315))
% 202.05/201.93 [9335]~P24(x93351,x93354,x93355,f241(f916(x93351,a904)))+~P105(f844(f844(f234(f916(x93354,a904)),f844(f309(x93351,x93354,x93355),x93352)),f844(f309(x93351,x93354,x93355),x93353)))+P105(f844(f844(f234(f916(x93351,a904)),x93352),x93353))
% 202.05/201.93 [9459]~P82(x94591)+~E(f844(x94593,f708(x94593,x94594,x94595,x94592,x94591)),f2(x94591))+E(f844(f165(x94591),f844(f844(f154(x94592,x94591),x94593),f844(f136(x94592,x94594),x94595))),f844(f165(x94591),f844(f844(f154(x94592,x94591),x94593),x94595)))
% 202.05/201.93 [9486]~P25(x94861,x94862,x94863,f241(f916(x94861,a904)),f241(f916(x94862,a904)))+~P105(f844(f844(f234(f916(x94862,a904)),x94864),f844(f309(x94861,x94862,x94863),x94865)))+P105(f844(f844(f234(f916(x94861,a904)),f844(f310(x94861,x94862,x94863),x94864)),x94865))
% 202.05/201.93 [9515]~P25(x95153,x95151,x95154,f241(f916(x95153,a904)),f241(f916(x95151,a904)))+P105(f844(f844(f234(f916(x95151,a904)),x95152),f844(f309(x95153,x95151,x95154),x95155)))+~P105(f844(f844(f234(f916(x95153,a904)),f844(f310(x95153,x95151,x95154),x95152)),x95155))
% 202.05/201.93 [9639]~P15(x96391,x96392,x96393)+~P105(f844(f60(x96391),x96395))+P105(f844(f65(x96391,x96392,x96393,x96394,x96395),f844(f844(f63(x96391,x96392,x96393),x96394),x96395)))
% 202.05/201.93 [9718]~P25(x97182,x97181,x97184,f241(f916(x97182,a904)),f241(f916(x97181,a904)))+~P25(x97181,x97183,x97185,f241(f916(x97181,a904)),f241(f916(x97183,a904)))+E(f844(f72(x97181,x97182,x97183,f90(x97182,x97181,f241(f916(x97182,a904)),x97184)),f90(x97181,x97183,f241(f916(x97181,a904)),x97185)),f90(x97182,x97183,f241(f916(x97182,a904)),f844(f72(x97181,x97183,x97182,x97185),x97184)))
% 202.05/201.93 [9719]P105(f844(x97191,f631(x97192,x97191,x97193,x97194,x97195)))+~P105(f844(f844(f234(f916(x97195,a904)),x97194),x97193))+P105(f844(f844(f234(f916(x97195,a904)),f844(f844(f101(f916(x97195,a904)),x97194),f844(f261(x97195),x97191))),f844(f844(f101(f916(x97195,a904)),x97193),f844(f261(x97195),x97192))))
% 202.05/201.93 [9733]~P82(x97331)+~P105(f844(x97334,f708(x97333,x97334,x97335,x97332,x97331)))+E(f844(f165(x97331),f844(f844(f154(x97332,x97331),x97333),f844(f136(x97332,x97334),x97335))),f844(f165(x97331),f844(f844(f154(x97332,x97331),x97333),x97335)))
% 202.05/201.93 [9811]~P4(x98115)+P105(f844(f844(f328(x98111),f410(x98112,x98113,x98111,x98114,x98115)),x98113))+P105(f844(f844(f234(x98115),x98114),f844(f844(f38(x98111,x98115),x98113),x98112)))
% 202.05/201.93 [9815]~P82(x98151)+E(f844(f165(x98151),f844(f844(f154(x98152,x98151),x98153),f844(f136(x98152,x98154),x98155))),f844(f165(x98151),f844(f844(f154(x98152,x98151),x98153),x98155)))+P105(f844(f844(f328(x98152),f708(x98153,x98154,x98155,x98152,x98151)),f844(f172(x98152),x98155)))
% 202.05/201.93 [9825]~P105(f844(x98255,f631(x98255,x98253,x98254,x98252,x98251)))+~P105(f844(f844(f234(f916(x98251,a904)),x98252),x98254))+P105(f844(f844(f234(f916(x98251,a904)),f844(f844(f101(f916(x98251,a904)),x98252),f844(f261(x98251),x98253))),f844(f844(f101(f916(x98251,a904)),x98254),f844(f261(x98251),x98255))))
% 202.05/201.93 [9841]~P24(x98415,x98413,x98414,f241(f916(x98415,a904)))+P105(f844(x98411,x98412))+P105(f844(f844(f328(x98413),f801(x98412,x98411,x98414,x98413,x98415)),f844(f309(x98415,x98413,x98414),f241(f916(x98415,a904)))))
% 202.05/201.93 [9864]P33(x98641,x98642,x98643,x98644,x98645)+~E(f844(f189(f909(x98642)),x98645),f844(f189(f909(x98641)),x98644))+P105(f844(f844(f235(a908),f687(x98645,x98644,x98643,x98642,x98641)),f844(f189(f909(x98641)),x98644)))
% 202.05/201.93 [9865]P33(x98651,x98652,x98653,x98654,x98655)+~E(f844(f189(f909(x98652)),x98655),f844(f189(f909(x98651)),x98654))+P105(f844(f844(f235(a908),f725(x98653,x98655,x98652,x98654,x98651)),f844(f189(f909(x98651)),x98654)))
% 202.05/201.93 [9896]P105(f844(f844(f328(x98961),f631(x98962,x98963,x98964,x98965,x98961)),x98965))+~P105(f844(f844(f234(f916(x98961,a904)),x98965),x98964))+P105(f844(f844(f234(f916(x98961,a904)),f844(f844(f101(f916(x98961,a904)),x98965),f844(f261(x98961),x98963))),f844(f844(f101(f916(x98961,a904)),x98964),f844(f261(x98961),x98962))))
% 202.05/201.93 [9939]~P4(x99391)+~P105(f844(f844(f234(x99391),x99392),f844(x99395,f410(x99395,x99394,x99393,x99392,x99391))))+P105(f844(f844(f234(x99391),x99392),f844(f844(f38(x99393,x99391),x99394),x99395)))
% 202.05/201.93 [9976]~P74(x99761)+~P105(f844(f60(x99762),x99765))+E(f844(f844(f844(f64(x99761,x99762,f80(x99761)),f844(f844(f20(x99762,x99761,x99761),f844(f844(f10(x99761,f916(x99761,x99761),x99762),f80(x99761)),x99763)),x99764)),f77(x99761)),x99765),f844(f844(f80(x99761),f844(f844(f844(f64(x99761,x99762,f80(x99761)),x99763),f77(x99761)),x99765)),f844(f844(f844(f64(x99761,x99762,f80(x99761)),x99764),f77(x99761)),x99765)))
% 202.05/201.93 [10032]~P105(f844(f844(f328(f915(f916(x100321,a904),f916(x100321,a904))),f844(f844(f251(f916(x100321,a904),f916(x100321,a904)),x100325),x100324)),f317(x100321,x100323)))+~P105(f844(f844(f328(x100321),x100322),x100325))+P105(f844(f844(f328(f915(x100321,x100321)),f844(f844(f251(x100321,x100321),x100322),f593(x100323,x100324,x100325,x100321,x100322))),x100323))
% 202.05/201.93 [10171]~P105(f844(f844(f328(f915(f909(x101711),f909(x101711))),f844(f844(f251(f909(x101711),f909(x101711)),f844(f844(f134(x101711),x101715),x101712)),f844(f844(f134(x101711),x101715),x101713))),f147(x101711,x101714)))+P105(f844(f844(f328(f915(f909(x101711),f909(x101711))),f844(f844(f251(f909(x101711),f909(x101711)),x101712),x101713)),f147(x101711,x101714)))+P105(f844(f844(f328(f915(x101711,x101711)),f844(f844(f251(x101711,x101711),f678(x101714,x101713,x101712,x101715,x101711)),f678(x101714,x101713,x101712,x101715,x101711))),x101714))
% 202.05/201.93 [7393]~E(x73933,x73935)+E(f844(f844(f164(x73931),f844(f844(f159(x73931,x73932),x73933),x73934)),x73935),x73934)+~P105(f844(f844(f235(a908),x73933),f844(f189(f909(x73931)),x73932)))
% 202.05/201.93 [7510]~E(f844(f844(f134(x75101),x75102),x75104),f844(f844(f134(x75101),x75103),x75105))+E(f844(f844(f175(x75101),f844(f189(f909(x75101)),x75102)),x75103),x75102)+P105(f844(f844(f234(a908),f844(f189(f909(x75101)),x75103)),f844(f189(f909(x75101)),x75102)))
% 202.05/201.93 [7997]~E(f844(f844(f134(x79971),x79972),x79974),f844(f844(f134(x79971),x79973),x79975))+E(f844(f844(f175(x79971),f844(f189(f909(x79971)),x79972)),x79973),x79972)+~P105(f844(f844(f234(a908),f844(f189(f909(x79971)),x79972)),f844(f189(f909(x79971)),x79973)))
% 202.05/201.93 [8021]~P105(f844(f60(x80211),f844(x80214,x80215)))+~P105(f844(f844(f328(x80212),x80215),x80213))+P105(f844(f60(x80211),f844(f844(f38(x80212,f916(x80211,a904)),x80213),x80214)))
% 202.05/201.93 [8195]~P51(x81951,x81953,x81955)+~P51(x81951,x81952,x81954)+P51(x81951,f844(f844(f110(f916(x81951,a904)),x81952),x81953),f844(f844(f110(f916(f915(x81951,x81951),a904)),x81954),x81955))
% 202.05/201.93 [8196]~P51(x81961,x81963,x81965)+~P51(x81961,x81962,x81964)+P51(x81961,f844(f844(f101(f916(x81961,a904)),x81962),x81963),f844(f844(f101(f916(f915(x81961,x81961),a904)),x81964),x81965))
% 202.05/201.93 [8544]E(f844(f844(f251(x85441,x85442),f844(f844(f164(x85441),x85443),x85444)),f844(f844(f164(x85442),x85445),x85444)),f844(f844(f164(f915(x85441,x85442)),f844(f844(f181(x85441,x85442),x85443),x85445)),x85444))+~P105(f844(f844(f235(a908),x85444),f844(f189(f909(x85441)),x85443)))+~P105(f844(f844(f235(a908),x85444),f844(f189(f909(x85442)),x85445)))
% 202.05/201.93 [8696]~P51(x86961,x86963,x86964)+P105(f844(f844(f328(x86961),x86962),x86963))+~P105(f844(f844(f328(f915(x86961,x86961)),f844(f844(f251(x86961,x86961),x86965),x86962)),x86964))
% 202.05/201.93 [8697]~P51(x86971,x86973,x86974)+P105(f844(f844(f328(x86971),x86972),x86973))+~P105(f844(f844(f328(f915(x86971,x86971)),f844(f844(f251(x86971,x86971),x86972),x86975)),x86974))
% 202.05/201.93 [8698]~P7(x86981,x86983,x86984)+P105(f844(f844(f328(x86981),x86982),x86983))+~P105(f844(f844(f328(f915(x86981,x86981)),f844(f844(f251(x86981,x86981),x86985),x86982)),x86984))
% 202.05/201.93 [8699]~P7(x86991,x86993,x86994)+P105(f844(f844(f328(x86991),x86992),x86993))+~P105(f844(f844(f328(f915(x86991,x86991)),f844(f844(f251(x86991,x86991),x86992),x86995)),x86994))
% 202.05/201.93 [8980]~P7(x89801,x89805,x89802)+E(f844(f284(x89801,x89801,x89802),f844(f844(f308(x89801),x89803),f188(f916(x89801,a904)))),f844(f284(x89801,x89801,x89802),f844(f844(f308(x89801),x89804),f188(f916(x89801,a904)))))+~P105(f844(f844(f328(f915(x89801,x89801)),f844(f844(f251(x89801,x89801),x89803),x89804)),x89802))
% 202.05/201.93 [9164]P105(f844(x91641,x91642))+~P105(f844(f844(f328(x91643),x91642),x91645))+P105(f844(f844(f328(x91643),f871(x91641,x91644,x91645,x91643)),f844(f844(f110(f916(x91643,a904)),x91645),x91644)))
% 202.05/201.93 [9165]P105(f844(x91651,x91652))+~P105(f844(f844(f328(x91653),x91652),x91654))+P105(f844(f844(f328(x91653),f871(x91651,x91654,x91655,x91653)),f844(f844(f110(f916(x91653,a904)),x91655),x91654)))
% 202.05/201.93 [9173]~P105(f844(x91732,x91735))+~P105(f844(f844(f328(x91731),x91735),x91734))+P105(f844(f844(f328(x91731),f860(x91732,x91733,x91734,x91731)),f844(f844(f110(f916(x91731,a904)),x91734),x91733)))
% 202.05/201.93 [9174]~P105(f844(x91742,x91745))+~P105(f844(f844(f328(x91741),x91745),x91743))+P105(f844(f844(f328(x91741),f860(x91742,x91743,x91744,x91741)),f844(f844(f110(f916(x91741,a904)),x91744),x91743)))
% 202.05/201.93 [9189]~P105(f844(f844(f234(f916(x91891,a904)),x91893),x91895))+~P105(f844(f844(f234(f916(x91891,a904)),x91892),x91894))+P105(f844(f844(f234(f916(x91891,a904)),f844(f844(f110(f916(x91891,a904)),x91892),x91893)),f844(f844(f110(f916(x91891,a904)),x91894),x91895)))
% 202.05/201.93 [9190]~P105(f844(f844(f234(f916(x91901,a904)),x91905),x91903))+~P105(f844(f844(f234(f916(x91901,a904)),x91902),x91904))+P105(f844(f844(f234(f916(x91901,a904)),f844(f844(f3(f916(x91901,a904)),x91902),x91903)),f844(f844(f3(f916(x91901,a904)),x91904),x91905)))
% 202.05/201.93 [9191]~P105(f844(f844(f234(f916(x91911,a904)),x91913),x91915))+~P105(f844(f844(f234(f916(x91911,a904)),x91912),x91914))+P105(f844(f844(f234(f916(x91911,a904)),f844(f844(f101(f916(x91911,a904)),x91912),x91913)),f844(f844(f101(f916(x91911,a904)),x91914),x91915)))
% 202.05/201.93 [9285]P105(f844(f844(f328(f915(x92851,x92851)),f844(f844(f251(x92851,x92851),x92852),x92853)),f320(x92851,x92854,x92855)))+~P105(f844(f844(f234(a908),f844(x92854,x92852)),f844(x92854,x92853)))+~P105(f844(f844(f328(f915(x92851,x92851)),f844(f844(f251(x92851,x92851),x92852),x92853)),x92855))
% 202.05/201.93 [9469]P105(f844(f844(f328(f915(x94691,x94691)),f844(f844(f251(x94691,x94691),x94692),x94693)),f306(x94691,x94694)))+~P105(f844(f844(f328(f915(x94691,x94691)),f844(f844(f251(x94691,x94691),x94692),x94695)),f306(x94691,x94694)))+~P105(f844(f844(f328(f915(x94691,x94691)),f844(f844(f251(x94691,x94691),x94695),x94693)),x94694))
% 202.05/201.93 [9470]P105(f844(f844(f328(f915(x94701,x94701)),f844(f844(f251(x94701,x94701),x94702),x94703)),f306(x94701,x94704)))+~P105(f844(f844(f328(f915(x94701,x94701)),f844(f844(f251(x94701,x94701),x94705),x94703)),f306(x94701,x94704)))+~P105(f844(f844(f328(f915(x94701,x94701)),f844(f844(f251(x94701,x94701),x94702),x94705)),x94704))
% 202.05/201.93 [9568]E(x95681,x95682)+E(f844(a112,f616(x95683,x95684,x95681,x95682,x95685)),x95684)+~P105(f844(f844(f328(f915(x95685,x95685)),f844(f844(f251(x95685,x95685),x95682),x95681)),f844(f844(f183(f915(x95685,x95685),a904),x95684),x95683)))
% 202.05/201.93 [9569]E(x95691,x95692)+E(f844(a112,f618(x95693,x95694,x95691,x95692,x95695)),x95694)+~P105(f844(f844(f328(f915(x95695,x95695)),f844(f844(f251(x95695,x95695),x95692),x95691)),f844(f844(f183(f915(x95695,x95695),a904),x95694),x95693)))
% 202.05/201.93 [9570]E(x95701,f2(a908))+E(f844(a112,f616(x95702,x95701,x95703,x95704,x95705)),x95701)+~P105(f844(f844(f328(f915(x95705,x95705)),f844(f844(f251(x95705,x95705),x95704),x95703)),f844(f844(f183(f915(x95705,x95705),a904),x95701),x95702)))
% 202.05/201.93 [9571]E(x95711,f2(a908))+E(f844(a112,f618(x95712,x95711,x95713,x95714,x95715)),x95711)+~P105(f844(f844(f328(f915(x95715,x95715)),f844(f844(f251(x95715,x95715),x95714),x95713)),f844(f844(f183(f915(x95715,x95715),a904),x95711),x95712)))
% 202.05/201.93 [9592]P105(f844(f844(f328(f915(x95921,x95921)),f844(f844(f251(x95921,x95921),x95922),x95923)),f844(f844(f288(x95921,x95921,x95921),x95924),f306(x95921,x95924))))+~P105(f844(f844(f328(f915(x95921,x95921)),f844(f844(f251(x95921,x95921),x95922),x95925)),x95924))+~P105(f844(f844(f328(f915(x95921,x95921)),f844(f844(f251(x95921,x95921),x95925),x95923)),x95924))
% 202.05/201.93 [9599]~P105(f844(f844(f328(f915(x95991,x95991)),f844(f844(f251(x95991,x95991),x95992),x95995)),f306(x95991,x95994)))+P105(f844(f844(f328(f915(x95991,x95991)),f844(f844(f251(x95991,x95991),x95992),x95993)),f844(f844(f288(x95991,x95991,x95991),x95994),f306(x95991,x95994))))+~P105(f844(f844(f328(f915(x95991,x95991)),f844(f844(f251(x95991,x95991),x95995),x95993)),x95994))
% 202.05/201.93 [9633]~P7(x96331,x96335,x96332)+~P105(f844(f844(f328(f915(x96331,x96331)),f844(f844(f251(x96331,x96331),x96333),x96334)),x96332))+P105(f844(f844(f234(f916(x96331,a904)),f844(f284(x96331,x96331,x96332),f844(f844(f308(x96331),x96333),f188(f916(x96331,a904))))),f844(f284(x96331,x96331,x96332),f844(f844(f308(x96331),x96334),f188(f916(x96331,a904))))))
% 202.05/201.93 [9691]P105(f844(f844(f328(f915(x96911,x96911)),f844(f844(f251(x96911,x96911),x96912),x96913)),f844(f844(f288(x96911,x96911,x96911),x96914),f306(x96911,x96914))))+~P105(f844(f844(f328(f915(x96911,x96911)),f844(f844(f251(x96911,x96911),x96912),x96915)),f844(f844(f288(x96911,x96911,x96911),x96914),f306(x96911,x96914))))+~P105(f844(f844(f328(f915(x96911,x96911)),f844(f844(f251(x96911,x96911),x96915),x96913)),x96914))
% 202.05/201.93 [9692]P105(f844(f844(f328(f915(x96921,x96921)),f844(f844(f251(x96921,x96921),x96922),x96923)),f844(f844(f288(x96921,x96921,x96921),x96924),f306(x96921,x96924))))+~P105(f844(f844(f328(f915(x96921,x96921)),f844(f844(f251(x96921,x96921),x96925),x96923)),f844(f844(f288(x96921,x96921,x96921),x96924),f306(x96921,x96924))))+~P105(f844(f844(f328(f915(x96921,x96921)),f844(f844(f251(x96921,x96921),x96922),x96925)),x96924))
% 202.05/201.93 [9742]~P105(f844(f65(x97421,x97421,x97424,x97422,x97423),x97425))+P105(f844(f844(f328(x97421),x97422),x97423))+P105(f844(f61(x97421,x97424,f844(f844(f308(x97421),x97422),x97423)),x97425))
% 202.05/201.93 [9780]~E(f844(f309(x97803,x97802,x97805),x97804),x97801)+E(x97801,f188(f916(x97802,a904)))+P105(f844(f844(f234(f916(x97803,a904)),f844(f309(x97802,x97803,f500(x97804,x97803,x97802,x97801)),x97801)),x97804))
% 202.05/201.93 [9828]~P4(x98285)+P105(f844(f844(f328(x98281),f458(x98282,x98283,x98284,x98281,x98285)),x98284))+P105(f844(f844(f234(x98285),f844(f844(f39(x98281,x98285),x98284),x98283)),x98282))
% 202.05/201.93 [9883]P33(x98831,x98832,x98833,x98834,x98835)+~E(f844(f189(f909(x98831)),x98834),f844(f189(f909(x98832)),x98835))+P105(f844(f844(f328(f915(x98831,x98832)),f686(x98835,x98834,x98833,x98832,x98831)),f844(f172(f915(x98831,x98832)),f844(f844(f181(x98831,x98832),x98834),x98835))))
% 202.05/201.93 [9884]P33(x98841,x98842,x98843,x98844,x98845)+~E(f844(f189(f909(x98841)),x98844),f844(f189(f909(x98842)),x98845))+P105(f844(f844(f328(f915(x98841,x98842)),f691(x98843,x98845,x98844,x98842,x98841)),f844(f172(f915(x98841,x98842)),f844(f844(f181(x98841,x98842),x98844),x98845))))
% 202.05/201.93 [10010]E(x100101,x100102)+P105(f844(f844(f328(f915(x100103,x100103)),f844(f844(f251(x100103,x100103),x100101),f619(x100104,x100105,x100102,x100101,x100103))),x100104))+~P105(f844(f844(f328(f915(x100103,x100103)),f844(f844(f251(x100103,x100103),x100101),x100102)),f844(f844(f183(f915(x100103,x100103),a904),x100105),x100104)))
% 202.05/201.93 [10011]E(x100111,f2(a908))+P105(f844(f844(f328(f915(x100112,x100112)),f844(f844(f251(x100112,x100112),x100113),f619(x100114,x100111,x100115,x100113,x100112))),x100114))+~P105(f844(f844(f328(f915(x100112,x100112)),f844(f844(f251(x100112,x100112),x100113),x100115)),f844(f844(f183(f915(x100112,x100112),a904),x100111),x100114)))
% 202.05/201.93 [10051]~P4(x100511)+~P105(f844(f844(f234(x100511),f844(x100514,f458(x100515,x100514,x100513,x100512,x100511))),x100515))+P105(f844(f844(f234(x100511),f844(f844(f39(x100512,x100511),x100513),x100514)),x100515))
% 202.05/201.93 [10104]E(x101041,x101042)+P105(f844(f844(f328(f915(x101043,x101043)),f844(f844(f251(x101043,x101043),f617(x101044,x101045,x101041,x101042,x101043)),x101041)),x101044))+~P105(f844(f844(f328(f915(x101043,x101043)),f844(f844(f251(x101043,x101043),x101042),x101041)),f844(f844(f183(f915(x101043,x101043),a904),x101045),x101044)))
% 202.05/201.93 [10105]E(x101051,f2(a908))+P105(f844(f844(f328(f915(x101052,x101052)),f844(f844(f251(x101052,x101052),f617(x101053,x101051,x101054,x101055,x101052)),x101054)),x101053))+~P105(f844(f844(f328(f915(x101052,x101052)),f844(f844(f251(x101052,x101052),x101055),x101054)),f844(f844(f183(f915(x101052,x101052),a904),x101051),x101053)))
% 202.05/201.93 [10109]E(x101091,x101092)+P105(f844(f844(f328(f915(x101093,x101093)),f844(f844(f251(x101093,x101093),x101091),f617(x101094,x101095,x101092,x101091,x101093))),f844(f844(f183(f915(x101093,x101093),a904),f616(x101094,x101095,x101092,x101091,x101093)),x101094)))+~P105(f844(f844(f328(f915(x101093,x101093)),f844(f844(f251(x101093,x101093),x101091),x101092)),f844(f844(f183(f915(x101093,x101093),a904),x101095),x101094)))
% 202.05/201.93 [10110]E(x101101,f2(a908))+P105(f844(f844(f328(f915(x101102,x101102)),f844(f844(f251(x101102,x101102),x101103),f617(x101104,x101101,x101105,x101103,x101102))),f844(f844(f183(f915(x101102,x101102),a904),f616(x101104,x101101,x101105,x101103,x101102)),x101104)))+~P105(f844(f844(f328(f915(x101102,x101102)),f844(f844(f251(x101102,x101102),x101103),x101105)),f844(f844(f183(f915(x101102,x101102),a904),x101101),x101104)))
% 202.05/201.93 [10162]E(x101621,x101622)+P105(f844(f844(f328(f915(x101623,x101623)),f844(f844(f251(x101623,x101623),f619(x101624,x101625,x101621,x101622,x101623)),x101621)),f844(f844(f183(f915(x101623,x101623),a904),f618(x101624,x101625,x101621,x101622,x101623)),x101624)))+~P105(f844(f844(f328(f915(x101623,x101623)),f844(f844(f251(x101623,x101623),x101622),x101621)),f844(f844(f183(f915(x101623,x101623),a904),x101625),x101624)))
% 202.05/201.93 [10163]E(x101631,f2(a908))+P105(f844(f844(f328(f915(x101632,x101632)),f844(f844(f251(x101632,x101632),f619(x101633,x101631,x101634,x101635,x101632)),x101634)),f844(f844(f183(f915(x101632,x101632),a904),f618(x101633,x101631,x101634,x101635,x101632)),x101633)))+~P105(f844(f844(f328(f915(x101632,x101632)),f844(f844(f251(x101632,x101632),x101635),x101634)),f844(f844(f183(f915(x101632,x101632),a904),x101631),x101633)))
% 202.05/201.93 [10196]~P69(x101962)+~P105(f844(f60(x101961),x101965))+E(f844(f844(f8(x101961,x101962),f844(f844(f9(x101961,x101962,x101962),f844(f844(f20(x101961,x101962,f916(x101962,x101962)),f844(f844(f10(a904,f916(x101962,f916(x101962,x101962)),x101961),f96(x101962)),f844(f844(f9(x101961,f916(x101961,a904),a904),f328(x101961)),x101963))),x101964)),f2(x101962))),x101965),f844(f844(f8(x101961,x101962),x101964),f844(f844(f101(f916(x101961,a904)),x101965),x101963)))
% 202.05/201.93 [8764]~P69(x87641)+~P105(f844(f60(x87644),x87645))+E(f844(f844(f79(x87641),f844(x87642,x87643)),f844(f844(f8(x87644,x87641),x87642),f844(f844(f3(f916(x87644,a904)),x87645),f844(f844(f308(x87644),x87643),f188(f916(x87644,a904)))))),f844(f844(f8(x87644,x87641),x87642),f844(f844(f308(x87644),x87643),x87645)))
% 202.05/201.93 [8765]~P74(x87651)+~P105(f844(f60(x87654),x87655))+E(f844(f844(f80(x87651),f844(x87652,x87653)),f844(f844(f11(x87654,x87651),x87652),f844(f844(f3(f916(x87654,a904)),x87655),f844(f844(f308(x87654),x87653),f188(f916(x87654,a904)))))),f844(f844(f11(x87654,x87651),x87652),f844(f844(f308(x87654),x87653),x87655)))
% 202.05/201.93 [9097]~P108(x90972)+~P12(x90972,f844(f168(x90972),f844(f844(f154(x90971,x90972),x90974),x90975)))+E(f844(f136(x90971,f844(f844(f10(x90972,a904,x90971),f844(f235(x90972),x90973)),x90974)),x90975),f177(x90971,f844(f844(f10(x90972,a904,x90971),f844(f235(x90972),x90973)),x90974),x90975))
% 202.05/201.93 [9121]~P69(x91211)+E(f844(f844(f79(x91211),f844(f844(f8(a908,x91211),x91212),f302(a908,x91213,x91214))),f844(f844(f8(a908,x91211),x91212),f302(a908,f844(f844(f79(a908),x91214),f77(a908)),f844(f844(f79(a908),x91214),x91215)))),f844(f844(f8(a908,x91211),x91212),f302(a908,x91213,f844(f844(f79(a908),x91214),x91215))))+~P105(f844(f844(f234(a908),x91213),f844(f844(f79(a908),x91214),f77(a908))))
% 202.05/201.93 [9122]~P105(f844(f844(f328(x91221),x91224),x91225))+~P105(f844(f844(f234(f916(x91221,a904)),f844(f172(x91221),x91222)),x91225))+P105(f844(f844(f234(f916(x91221,a904)),f844(f172(x91221),f844(f844(f159(x91221,x91222),x91223),x91224))),x91225))
% 202.05/201.93 [9343]~P4(x93432)+~P105(f844(f60(x93431),x93435))+E(f844(f844(f63(x93431,x93432,f844(f844(f10(x93432,f916(x93432,x93432),x93431),f110(x93432)),x93433)),x93434),x93435),f844(f844(f110(x93432),x93434),f844(f844(f39(x93431,x93432),x93435),x93433)))
% 202.05/201.93 [9344]~P4(x93442)+~P105(f844(f60(x93441),x93445))+E(f844(f844(f63(x93441,x93442,f844(f844(f10(x93442,f916(x93442,x93442),x93441),f101(x93442)),x93443)),x93444),x93445),f844(f844(f101(x93442),x93444),f844(f844(f38(x93441,x93442),x93445),x93443)))
% 202.05/201.93 [9393]E(f844(x93931,x93932),f844(x93931,x93933))+P105(f844(f844(f235(a908),f844(x93931,x93932)),f844(x93931,x93933)))+~P105(f844(f844(f328(f915(x93934,x93934)),f844(f844(f251(x93934,x93934),x93932),x93933)),f153(x93934,f844(f844(f151(f916(x93934,a908)),x93931),x93935))))
% 202.05/201.93 [9427]~E(f844(x94274,x94272),f844(x94274,x94273))+~P105(f844(f844(f328(f915(x94271,x94271)),f844(f844(f251(x94271,x94271),x94272),x94273)),f153(x94271,x94275)))+P105(f844(f844(f328(f915(x94271,x94271)),f844(f844(f251(x94271,x94271),x94272),x94273)),f153(x94271,f844(f844(f151(f916(x94271,a908)),x94274),x94275))))
% 202.05/201.93 [9447]~P24(x94471,x94472,x94473,x94475)+P24(x94471,x94472,x94473,f844(f844(f308(x94471),x94474),x94475))+P105(f844(f844(f328(x94472),f844(x94473,x94474)),f844(f309(x94471,x94472,x94473),f844(f844(f3(f916(x94471,a904)),x94475),f844(f844(f308(x94471),x94474),f188(f916(x94471,a904)))))))
% 202.05/201.93 [9450]P105(f844(x94502,x94505))+~P105(f844(f844(f328(x94501),x94505),f844(f172(x94501),x94503)))+E(f844(f844(f138(x94501),f844(f189(f909(x94501)),f177(x94501,x94502,f844(f844(f134(x94501),x94503),x94504)))),f844(f844(f134(x94501),x94503),x94504)),f844(f844(f134(x94501),f844(f844(f138(x94501),f844(f189(f909(x94501)),f177(x94501,x94502,x94503))),x94503)),x94504))
% 202.05/201.93 [9455]~P105(f844(f844(f328(f915(x94551,x94551)),f844(f844(f251(x94551,x94551),x94552),x94553)),f153(x94551,x94555)))+~P105(f844(f844(f234(a908),f844(x94554,x94552)),f844(x94554,x94553)))+P105(f844(f844(f328(f915(x94551,x94551)),f844(f844(f251(x94551,x94551),x94552),x94553)),f153(x94551,f844(f844(f151(f916(x94551,a908)),x94554),x94555))))
% 202.05/201.93 [9520]P105(f844(f844(f328(f915(x95204,x95204)),f844(f844(f251(x95204,x95204),x95202),x95203)),f153(x95204,x95205)))+P105(f844(f844(f235(a908),f844(x95201,x95202)),f844(x95201,x95203)))+~P105(f844(f844(f328(f915(x95204,x95204)),f844(f844(f251(x95204,x95204),x95202),x95203)),f153(x95204,f844(f844(f151(f916(x95204,a908)),x95201),x95205))))
% 202.05/201.93 [9663]~P105(f844(f844(f328(f915(f909(x96631),f909(x96631))),f844(f844(f251(f909(x96631),f909(x96631)),x96632),x96634)),f158(x96631,x96635)))+~P105(f844(f844(f235(a908),x96633),f844(f189(f909(x96631)),x96632)))+P105(f844(f844(f328(f915(x96631,x96631)),f844(f844(f251(x96631,x96631),f844(f844(f164(x96631),x96632),x96633)),f844(f844(f164(x96631),x96634),x96633))),x96635))
% 202.05/201.93 [9906]E(x99061,f2(a1))+~P105(f844(f48(x99063,x99061),f844(f844(f251(a1,a1),x99064),x99065)))+P105(f844(f48(f844(f844(f80(a1),x99062),x99063),x99061),f844(f844(f251(a1,a1),f844(f844(f79(a1),f844(f844(f80(a1),x99062),x99064)),f844(f844(f35(a1),f844(f844(f80(a1),x99062),x99065)),x99061))),f44(a1,f844(f844(f80(a1),x99062),x99065),x99061))))
% 202.05/201.93 [9907]~P105(f844(f844(f235(a908),f2(a908)),x99073))+~P105(f844(f47(x99072,x99073),f844(f844(f251(a908,a908),x99074),x99075)))+P105(f844(f47(f844(f844(f80(a908),x99071),x99072),x99073),f844(f844(f251(a908,a908),f844(f844(f79(a908),f844(f844(f80(a908),x99071),x99074)),f844(f844(f35(a908),f844(f844(f80(a908),x99071),x99075)),x99073))),f44(a908,f844(f844(f80(a908),x99071),x99075),x99073))))
% 202.05/201.93 [10219]~P69(x102192)+~P105(f844(f60(x102191),x102194))+E(f844(f844(f8(x102191,x102192),x102193),f844(f261(x102191),f844(f844(f20(x102191,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102191),a325),f844(f844(f9(x102191,f916(x102191,a904),a904),f328(x102191)),x102194))),f844(f844(f9(x102191,f916(x102191,a904),a904),f328(x102191)),x102195)))),f844(f844(f8(x102191,x102192),f844(f844(f9(x102191,x102192,x102192),f844(f844(f20(x102191,x102192,f916(x102192,x102192)),f844(f844(f10(a904,f916(x102192,f916(x102192,x102192)),x102191),f96(x102192)),f844(f844(f9(x102191,f916(x102191,a904),a904),f328(x102191)),x102195))),x102193)),f2(x102192))),x102194))
% 202.05/201.93 [8397]~E(f844(f844(f134(x83971),x83972),x83975),f844(f844(f134(x83971),x83973),x83974))+E(f844(f844(f134(x83971),f844(f844(f138(x83971),f844(f189(f909(x83971)),x83972)),x83973)),x83974),x83975)+P105(f844(f844(f234(a908),f844(f189(f909(x83971)),x83973)),f844(f189(f909(x83971)),x83972)))
% 202.05/201.93 [8592]~E(f844(f844(f134(x85922),x85923),x85921),f844(f844(f134(x85922),x85924),x85925))+E(x85921,f844(f844(f134(x85922),f844(f844(f138(x85922),f844(f189(f909(x85922)),x85923)),x85924)),x85925))+~P105(f844(f844(f234(a908),f844(f189(f909(x85922)),x85923)),f844(f189(f909(x85922)),x85924)))
% 202.05/201.93 [8679]~E(f844(f844(f79(a908),f844(f844(f80(a908),x86793),x86794)),x86791),f844(f844(f79(a908),f844(f844(f80(a908),x86792),x86794)),x86795))+~P105(f844(f844(f234(a908),x86793),x86792))+E(x86791,f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x86792),x86793)),x86794)),x86795))
% 202.05/201.93 [8680]~E(f844(f844(f79(a908),f844(f844(f80(a908),x86801),x86803)),x86804),f844(f844(f79(a908),f844(f844(f80(a908),x86802),x86803)),x86805))+~P105(f844(f844(f234(a908),x86802),x86801))+E(f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x86801),x86802)),x86803)),x86804),x86805)
% 202.05/201.93 [8848]E(f844(f844(f79(a908),f844(f844(f80(a908),x88481),x88482)),x88483),f844(f844(f79(a908),f844(f844(f80(a908),x88484),x88482)),x88485))+~P105(f844(f844(f234(a908),x88484),x88481))+~E(x88485,f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x88481),x88484)),x88482)),x88483))
% 202.05/201.93 [8849]E(f844(f844(f79(a908),f844(f844(f80(a908),x88491),x88492)),x88493),f844(f844(f79(a908),f844(f844(f80(a908),x88494),x88492)),x88495))+~P105(f844(f844(f234(a908),x88494),x88491))+~E(f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x88491),x88494)),x88492)),x88493),x88495)
% 202.05/201.93 [9717]~P62(x97172)+~P105(f844(f60(x97171),x97175))+E(f844(f844(f11(x97171,x97172),f844(f844(f20(x97171,x97172,x97172),f844(f844(f10(x97172,f916(x97172,x97172),x97171),f290(x97172)),x97173)),x97174)),x97175),f844(f844(f290(x97172),f844(f844(f11(x97171,x97172),x97173),x97175)),f844(f844(f11(x97171,x97172),x97174),x97175)))
% 202.05/201.93 [9847]~E(f622(x98475,x98474,x98473,x98472,x98471),f623(x98475,x98474,x98473,x98472,x98471))+P105(f844(f844(f328(f915(x98471,x98471)),f844(f844(f251(x98471,x98471),x98472),x98473)),f306(x98471,x98474)))+~P105(f844(f844(f328(f915(x98471,x98471)),f844(f844(f251(x98471,x98471),x98472),x98473)),f306(x98471,f844(f844(f110(f916(f915(x98471,x98471),a904)),x98474),x98475))))
% 202.05/201.93 [9848]~E(f624(x98485,x98484,x98483,x98482,x98481),f625(x98485,x98484,x98483,x98482,x98481))+P105(f844(f844(f328(f915(x98481,x98481)),f844(f844(f251(x98481,x98481),x98482),x98483)),f306(x98481,x98484)))+~P105(f844(f844(f328(f915(x98481,x98481)),f844(f844(f251(x98481,x98481),x98482),x98483)),f306(x98481,f844(f844(f110(f916(f915(x98481,x98481),a904)),x98484),x98485))))
% 202.05/201.93 [10041]P105(f844(f844(f328(f915(x100411,x100411)),f844(f844(f251(x100411,x100411),x100412),f625(x100415,x100414,x100413,x100412,x100411))),f306(x100411,x100414)))+P105(f844(f844(f328(f915(x100411,x100411)),f844(f844(f251(x100411,x100411),x100412),x100413)),f306(x100411,x100414)))+~P105(f844(f844(f328(f915(x100411,x100411)),f844(f844(f251(x100411,x100411),x100412),x100413)),f306(x100411,f844(f844(f110(f916(f915(x100411,x100411),a904)),x100414),x100415))))
% 202.05/201.93 [10131]P105(f844(f844(f328(f915(x101311,x101311)),f844(f844(f251(x101311,x101311),f623(x101315,x101314,x101313,x101312,x101311)),x101313)),f306(x101311,x101314)))+P105(f844(f844(f328(f915(x101311,x101311)),f844(f844(f251(x101311,x101311),x101312),x101313)),f306(x101311,x101314)))+~P105(f844(f844(f328(f915(x101311,x101311)),f844(f844(f251(x101311,x101311),x101312),x101313)),f306(x101311,f844(f844(f110(f916(f915(x101311,x101311),a904)),x101314),x101315))))
% 202.05/201.93 [10169]P105(f844(f844(f328(f915(x101691,x101691)),f844(f844(f251(x101691,x101691),x101692),x101693)),f306(x101691,x101694)))+P105(f844(f844(f328(f915(x101691,x101691)),f844(f844(f251(x101691,x101691),f622(x101695,x101694,x101693,x101692,x101691)),f623(x101695,x101694,x101693,x101692,x101691))),x101695))+~P105(f844(f844(f328(f915(x101691,x101691)),f844(f844(f251(x101691,x101691),x101692),x101693)),f306(x101691,f844(f844(f110(f916(f915(x101691,x101691),a904)),x101694),x101695))))
% 202.05/201.93 [10170]P105(f844(f844(f328(f915(x101701,x101701)),f844(f844(f251(x101701,x101701),x101702),x101703)),f306(x101701,x101704)))+P105(f844(f844(f328(f915(x101701,x101701)),f844(f844(f251(x101701,x101701),f625(x101705,x101704,x101703,x101702,x101701)),f624(x101705,x101704,x101703,x101702,x101701))),x101705))+~P105(f844(f844(f328(f915(x101701,x101701)),f844(f844(f251(x101701,x101701),x101702),x101703)),f306(x101701,f844(f844(f110(f916(f915(x101701,x101701),a904)),x101704),x101705))))
% 202.05/201.93 [10311]~P105(f844(f844(f328(f915(f909(x103111),f909(x103111))),f844(f844(f251(f909(x103111),f909(x103111)),x103114),x103115)),f158(x103111,x103112)))+~P105(f844(f844(f328(f915(x103111,x103111)),x103113),f844(f172(f915(x103111,x103111)),f844(f844(f181(x103111,x103111),x103114),x103115))))+P105(f844(f844(f256(x103111,x103111,a904),f844(f844(f9(x103111,f916(f915(x103111,x103111),a904),f916(x103111,a904)),f844(f844(f10(f916(x103111,f916(f916(f915(x103111,x103111),a904),a904)),f916(f916(f915(x103111,x103111),a904),f916(x103111,a904)),x103111),f9(x103111,f916(f915(x103111,x103111),a904),a904)),f844(f844(f10(f916(x103111,f915(x103111,x103111)),f916(x103111,f916(f916(f915(x103111,x103111),a904),a904)),x103111),f844(f10(f915(x103111,x103111),f916(f916(f915(x103111,x103111),a904),a904),x103111),f328(f915(x103111,x103111)))),f251(x103111,x103111)))),x103112)),x103113))
% 202.05/201.93 [9746]~P105(f844(f844(f234(a908),x97463),x97462))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),f844(f844(f80(a908),x97463),x97464)),x97461)),f844(f844(f79(a908),f844(f844(f80(a908),x97462),x97464)),x97465)))+P105(f844(f844(f234(a908),x97461),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x97462),x97463)),x97464)),x97465)))
% 202.05/201.93 [9747]~P105(f844(f844(f234(a908),x97473),x97472))+~P105(f844(f844(f235(a908),f844(f844(f79(a908),f844(f844(f80(a908),x97473),x97474)),x97471)),f844(f844(f79(a908),f844(f844(f80(a908),x97472),x97474)),x97475)))+P105(f844(f844(f235(a908),x97471),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x97472),x97473)),x97474)),x97475)))
% 202.05/201.93 [9764]~P105(f844(f844(f234(a908),x97641),x97644))+P105(f844(f844(f234(a908),f844(f844(f79(a908),f844(f844(f80(a908),x97641),x97642)),x97643)),f844(f844(f79(a908),f844(f844(f80(a908),x97644),x97642)),x97645)))+~P105(f844(f844(f234(a908),x97643),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x97644),x97641)),x97642)),x97645)))
% 202.05/201.93 [9765]~P105(f844(f844(f234(a908),x97651),x97654))+P105(f844(f844(f235(a908),f844(f844(f79(a908),f844(f844(f80(a908),x97651),x97652)),x97653)),f844(f844(f79(a908),f844(f844(f80(a908),x97654),x97652)),x97655)))+~P105(f844(f844(f235(a908),x97653),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x97654),x97651)),x97652)),x97655)))
% 202.05/201.93 [9881]~P105(f844(f844(f234(a908),x98812),x98811))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),f844(f844(f80(a908),x98811),x98813)),x98814)),f844(f844(f79(a908),f844(f844(f80(a908),x98812),x98813)),x98815)))+P105(f844(f844(f234(a908),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x98811),x98812)),x98813)),x98814)),x98815))
% 202.05/201.93 [9882]~P105(f844(f844(f234(a908),x98822),x98821))+~P105(f844(f844(f235(a908),f844(f844(f79(a908),f844(f844(f80(a908),x98821),x98823)),x98824)),f844(f844(f79(a908),f844(f844(f80(a908),x98822),x98823)),x98825)))+P105(f844(f844(f235(a908),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x98821),x98822)),x98823)),x98824)),x98825))
% 202.05/201.93 [9925]~P105(f844(f844(f234(a908),x99254),x99251))+P105(f844(f844(f234(a908),f844(f844(f79(a908),f844(f844(f80(a908),x99251),x99252)),x99253)),f844(f844(f79(a908),f844(f844(f80(a908),x99254),x99252)),x99255)))+~P105(f844(f844(f234(a908),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x99251),x99254)),x99252)),x99253)),x99255))
% 202.05/201.93 [9926]~P105(f844(f844(f234(a908),x99264),x99261))+P105(f844(f844(f235(a908),f844(f844(f79(a908),f844(f844(f80(a908),x99261),x99262)),x99263)),f844(f844(f79(a908),f844(f844(f80(a908),x99264),x99262)),x99265)))+~P105(f844(f844(f235(a908),f844(f844(f79(a908),f844(f844(f80(a908),f844(f844(f3(a908),x99261),x99264)),x99262)),x99263)),x99265))
% 202.05/201.93 [10157]~P10(x101571,x101572,x101575,x101573)+~P105(f844(f844(f328(f915(x101571,x101571)),x101574),x101575))+P105(f844(f844(f256(x101571,x101571,a904),f844(f844(f9(x101571,f916(x101571,x101572),f916(x101571,a904)),f844(f844(f10(f916(x101572,a904),f916(f916(x101571,x101572),f916(x101571,a904)),x101571),f10(x101572,a904,x101571)),f844(f844(f10(x101572,f916(x101572,a904),x101571),a324),x101573))),x101573)),x101574))
% 202.05/201.93 [8556]~P18(x85566,x85561,x85562,x85564)+E(f844(f72(x85561,x85561,x85561,f844(x85562,x85563)),f844(x85564,x85565)),f844(f72(x85561,x85561,x85561,f844(x85564,x85565)),f844(x85562,x85563)))+~P105(f844(f60(x85566),x85565))
% 202.05/201.93 [8992]~P24(x89921,x89923,x89925,x89926)+~P24(x89923,x89922,x89924,f844(f309(x89921,x89923,x89925),x89926))+P24(x89921,x89922,f844(f72(x89923,x89922,x89921,x89924),x89925),x89926)
% 202.05/201.93 [9552]~P105(f844(f844(x95523,x95522),x95526))+~P105(f844(f844(x95524,x95525),x95522))+P105(f844(f844(f328(x95521),x95522),f299(x95521,x95523,x95524,x95525,x95526)))
% 202.05/201.93 [9553]~P105(f844(f844(x95534,x95532),x95536))+~P105(f844(f844(x95533,x95535),x95532))+P105(f844(f844(f328(x95531),x95532),f296(x95531,x95533,x95534,x95535,x95536)))
% 202.05/201.93 [9664]E(x96641,x96642)+E(x96643,x96644)+~P105(f844(f844(f328(f915(f909(x96645),f909(x96645))),f844(f844(f251(f909(x96645),f909(x96645)),f844(f844(f151(x96645),x96643),x96641)),f844(f844(f151(x96645),x96644),x96642))),f157(x96645,x96646)))
% 202.05/201.93 [9673]~E(x96732,x96734)+P105(f844(f844(f328(f915(f909(x96731),f909(x96731))),f844(f844(f251(f909(x96731),f909(x96731)),f844(f844(f151(x96731),x96732),x96733)),f844(f844(f151(x96731),x96734),x96735))),f145(x96731,x96736)))+~P105(f844(f844(f328(f915(f909(x96731),f909(x96731))),f844(f844(f251(f909(x96731),f909(x96731)),x96733),x96735)),f145(x96731,x96736)))
% 202.05/201.93 [9674]~E(x96742,x96744)+P105(f844(f844(f328(f915(f909(x96741),f909(x96741))),f844(f844(f251(f909(x96741),f909(x96741)),f844(f844(f151(x96741),x96742),x96743)),f844(f844(f151(x96741),x96744),x96745))),f147(x96741,x96746)))+~P105(f844(f844(f328(f915(f909(x96741),f909(x96741))),f844(f844(f251(f909(x96741),f909(x96741)),x96743),x96745)),f147(x96741,x96746)))
% 202.05/201.93 [9675]~E(x96752,x96754)+P105(f844(f844(f328(f915(f909(x96751),f909(x96751))),f844(f844(f251(f909(x96751),f909(x96751)),f844(f844(f151(x96751),x96752),x96753)),f844(f844(f151(x96751),x96754),x96755))),f157(x96751,x96756)))+~P105(f844(f844(f328(f915(f909(x96751),f909(x96751))),f844(f844(f251(f909(x96751),f909(x96751)),x96753),x96755)),f157(x96751,x96756)))
% 202.05/201.93 [9676]~E(x96762,x96764)+P105(f844(f844(f328(f915(f909(x96761),f909(x96761))),f844(f844(f251(f909(x96761),f909(x96761)),f844(f844(f134(x96761),x96762),x96763)),f844(f844(f134(x96761),x96764),x96765))),f157(x96761,x96766)))+~P105(f844(f844(f328(f915(f909(x96761),f909(x96761))),f844(f844(f251(f909(x96761),f909(x96761)),x96763),x96765)),f157(x96761,x96766)))
% 202.05/201.93 [9677]~E(x96773,x96775)+P105(f844(f844(f328(f915(f909(x96771),f909(x96771))),f844(f844(f251(f909(x96771),f909(x96771)),f844(f844(f134(x96771),x96772),x96773)),f844(f844(f134(x96771),x96774),x96775))),f157(x96771,x96776)))+~P105(f844(f844(f328(f915(f909(x96771),f909(x96771))),f844(f844(f251(f909(x96771),f909(x96771)),x96772),x96774)),f157(x96771,x96776)))
% 202.05/201.93 [9734]E(x97341,x97342)+P105(f844(f844(f328(f915(f909(x97343),f909(x97343))),f844(f844(f251(f909(x97343),f909(x97343)),x97341),x97342)),f157(x97343,x97344)))+~P105(f844(f844(f328(f915(f909(x97343),f909(x97343))),f844(f844(f251(f909(x97343),f909(x97343)),f844(f844(f151(x97343),x97345),x97341)),f844(f844(f151(x97343),x97346),x97342))),f157(x97343,x97344)))
% 202.05/201.93 [9885]~E(x98853,x98855)+P105(f844(f844(f328(f915(f909(x98851),f909(x98851))),f844(f844(f251(f909(x98851),f909(x98851)),f844(f844(f134(x98851),x98852),f844(f844(f151(x98851),x98853),f113(x98851)))),f844(f844(f134(x98851),x98854),f844(f844(f151(x98851),x98855),f113(x98851))))),f157(x98851,x98856)))+~P105(f844(f844(f328(f915(f909(x98851),f909(x98851))),f844(f844(f251(f909(x98851),f909(x98851)),x98852),x98854)),f157(x98851,x98856)))
% 202.05/201.93 [9929]E(x99291,x99292)+E(x99293,x99294)+~P105(f844(f844(f328(f915(f909(x99295),f909(x99295))),f844(f844(f251(f909(x99295),f909(x99295)),f844(f844(f134(x99295),x99293),f844(f844(f151(x99295),x99291),f113(x99295)))),f844(f844(f134(x99295),x99294),f844(f844(f151(x99295),x99292),f113(x99295))))),f157(x99295,x99296)))
% 202.05/201.93 [9955]E(x99551,x99552)+~P105(f844(f844(f328(f915(f909(x99553),f909(x99553))),f844(f844(f251(f909(x99553),f909(x99553)),f844(f844(f134(x99553),x99551),f844(f844(f151(x99553),x99555),f113(x99553)))),f844(f844(f134(x99553),x99552),f844(f844(f151(x99553),x99556),f113(x99553))))),f157(x99553,x99554)))+P105(f844(f844(f328(f915(f909(x99553),f909(x99553))),f844(f844(f251(f909(x99553),f909(x99553)),x99551),x99552)),f157(x99553,x99554)))
% 202.05/201.93 [9993]~P105(f844(f844(f328(f915(f916(x99931,a904),f916(x99931,a904))),f844(f844(f251(f916(x99931,a904),f916(x99931,a904)),x99932),x99934)),f317(x99931,x99936)))+~P105(f844(f844(f328(f915(f916(x99931,a904),f916(x99931,a904))),f844(f844(f251(f916(x99931,a904),f916(x99931,a904)),x99933),x99935)),f317(x99931,x99936)))+P105(f844(f844(f328(f915(f916(x99931,a904),f916(x99931,a904))),f844(f844(f251(f916(x99931,a904),f916(x99931,a904)),f844(f844(f110(f916(x99931,a904)),x99932),x99933)),f844(f844(f110(f916(x99931,a904)),x99934),x99935))),f317(x99931,x99936)))
% 202.05/201.93 [5793]~E(f844(f844(f134(x57931),x57936),x57933),x57935)+E(f844(f844(f134(x57931),x57932),x57933),f844(f844(f151(x57931),x57934),x57935))+~E(x57932,f844(f844(f151(x57931),x57934),x57936))
% 202.05/201.93 [5794]~E(f844(f844(f134(x57941),x57946),x57943),x57945)+E(f844(f844(f134(x57941),x57942),x57943),f844(f844(f134(x57941),x57944),x57945))+~E(x57942,f844(f844(f134(x57941),x57944),x57946))
% 202.05/201.93 [5796]E(f844(f844(f134(x57961),x57962),x57963),f844(f844(f151(x57961),x57964),x57965))+~E(f844(f844(f151(x57961),x57964),x57966),x57962)+~E(x57965,f844(f844(f134(x57961),x57966),x57963))
% 202.05/201.93 [5798]~E(f844(f844(f134(x57981),x57982),x57986),x57984)+E(f844(f844(f134(x57981),x57982),x57983),f844(f844(f134(x57981),x57984),x57985))+~E(x57983,f844(f844(f134(x57981),x57986),x57985))
% 202.05/201.93 [6957]E(f844(x69571,x69572),f844(x69573,x69572))+~E(f844(f844(f154(x69574,x69575),x69571),x69576),f844(f844(f154(x69574,x69575),x69573),x69576))+~P105(f844(f844(f328(x69574),x69572),f844(f172(x69574),x69576)))
% 202.05/201.93 [7340]~P18(x73404,x73405,x73406,x73401)+E(f844(f844(x73401,x73402),x73403),f844(f844(f63(x73404,x73405,x73406),x73403),x73402))+~P105(f844(f60(x73404),x73402))
% 202.05/201.93 [7411]~E(x74112,f844(x74114,x74116))+~P105(f844(f844(f328(x74113),x74116),x74115))+P105(f844(f844(f328(x74111),x74112),f844(f309(x74113,x74111,x74114),x74115)))
% 202.05/201.93 [7412]~E(f844(x74124,x74122),x74126)+~P105(f844(f844(f328(x74123),x74126),x74125))+P105(f844(f844(f328(x74121),x74122),f844(f310(x74121,x74123,x74124),x74125)))
% 202.05/201.93 [7858]~P31(x78581,x78582,x78584,x78586)+P31(x78581,x78582,f844(f844(f151(x78581),x78583),x78584),f844(f844(f151(x78581),x78585),x78586))+~P105(f844(f844(x78582,x78583),x78585))
% 202.05/201.93 [8858]~P55(x88584,x88585,x88581,x88582,x88586)+E(f844(x88581,f844(x88582,x88583)),x88583)+~P105(f844(f844(f328(x88585),x88583),x88586))
% 202.05/201.93 [9352]~P25(x93522,x93521,x93525,x93524,x93523)+E(f844(f90(x93521,x93522,x93523,f90(x93522,x93521,x93524,x93525)),x93526),f844(x93525,x93526))+~P105(f844(f844(f328(x93522),x93526),x93524))
% 202.05/201.93 [9364]~P24(x93641,x93642,x93643,x93646)+P24(x93641,x93642,f74(x93641,x93642,x93643,x93644,x93645),x93646)+P105(f844(f844(f328(x93642),x93645),f844(f309(x93641,x93642,x93643),x93646)))
% 202.05/201.93 [9666]E(x96661,x96662)+E(f844(f189(f909(x96663)),x96664),f844(f189(f909(x96663)),x96665))+~P105(f844(f844(f328(f915(f909(x96663),f909(x96663))),f844(f844(f251(f909(x96663),f909(x96663)),f844(f844(f151(x96663),x96661),x96664)),f844(f844(f151(x96663),x96662),x96665))),f145(x96663,x96666)))
% 202.05/201.93 [9729]~P15(x97291,x97292,x97293)+E(f844(f844(f63(x97291,x97292,x97293),x97294),x97295),x97296)+~P105(f844(f65(x97291,x97292,x97293,x97294,x97295),x97296))
% 202.05/201.93 [9737]E(f844(f189(f909(x97371)),x97372),f844(f189(f909(x97371)),x97373))+P105(f844(f844(f328(f915(f909(x97371),f909(x97371))),f844(f844(f251(f909(x97371),f909(x97371)),x97372),x97373)),f145(x97371,x97374)))+~P105(f844(f844(f328(f915(f909(x97371),f909(x97371))),f844(f844(f251(f909(x97371),f909(x97371)),f844(f844(f151(x97371),x97375),x97372)),f844(f844(f151(x97371),x97376),x97373))),f145(x97371,x97374)))
% 202.05/201.93 [9758]~P105(f844(f844(f328(f915(x97581,x97581)),f844(f844(f251(x97581,x97581),x97582),x97584)),f306(x97581,x97586)))+P105(f844(f844(f328(f915(f909(x97581),f909(x97581))),f844(f844(f251(f909(x97581),f909(x97581)),f844(f844(f151(x97581),x97582),x97583)),f844(f844(f151(x97581),x97584),x97585))),f306(f909(x97581),f157(x97581,x97586))))+~P105(f844(f844(f328(f915(f909(x97581),f909(x97581))),f844(f844(f251(f909(x97581),f909(x97581)),x97583),x97585)),f306(f909(x97581),f157(x97581,x97586))))
% 202.05/201.93 [9935]~P105(f844(x99352,x99356))+~E(f844(f136(x99351,x99352),x99353),f844(f844(f151(x99351),x99354),x99355))+~P105(f844(f844(f328(x99351),x99356),f844(f172(x99351),f735(x99355,x99354,x99353,x99352,x99351))))
% 202.05/201.93 [9936]~P105(f844(x99364,x99366))+~E(f844(f844(f151(x99361),x99362),x99363),f844(f136(x99361,x99364),x99365))+~P105(f844(f844(f328(x99361),x99366),f844(f172(x99361),f732(x99365,x99364,x99363,x99362,x99361))))
% 202.05/201.93 [10252]~P69(x102522)+E(f844(f844(f8(x102521,x102522),f844(f844(f10(f916(x102523,a904),x102522,x102521),f844(f8(x102523,x102522),x102524)),f844(f844(f10(f916(x102523,a904),f916(x102523,a904),x102521),f261(x102523)),f844(f844(f10(f916(x102523,a904),f916(x102523,a904),x102521),f844(f20(x102523,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102523),a325),f844(f844(f9(x102523,f916(x102523,a904),a904),f328(x102523)),x102525)))),f844(f9(x102523,x102521,a904),f844(f844(f10(x102521,f916(x102521,a904),x102523),a324),x102526)))))),f844(f309(x102523,x102521,x102526),x102525)),f844(f844(f8(x102523,x102522),x102524),x102525))+~P105(f844(f60(x102523),x102525))
% 202.05/201.93 [7013]~P108(x70133)+P105(f844(x70132,x70135))+E(f844(f136(x70131,x70132),f844(f844(f148(x70131,x70133,x70134),x70135),x70136)),f844(f136(x70131,x70132),x70136))
% 202.05/201.93 [7015]P105(f844(x70151,x70152))+~E(f166(x70153,x70151,x70154),f844(f844(f251(f909(x70153),f909(x70153)),x70155),x70156))+~P105(f844(f844(f328(x70153),x70152),f844(f172(x70153),x70155)))
% 202.05/201.93 [7058]~P105(f844(x70582,x70586))+~E(f166(x70581,x70582,x70583),f844(f844(f251(f909(x70581),f909(x70581)),x70584),x70585))+~P105(f844(f844(f328(x70581),x70586),f844(f172(x70581),x70585)))
% 202.05/201.93 [7724]~P13(x77241,x77242,x77243)+~P105(f844(f60(x77241),x77246))+E(f844(f844(f63(x77241,x77242,x77243),x77244),f844(f844(f308(x77241),x77245),x77246)),f844(f844(f63(x77241,x77242,x77243),f844(f844(x77243,x77245),x77244)),x77246))
% 202.05/201.93 [7775]~P108(x77752)+~P105(f844(f844(f234(x77752),f844(x77753,x77754)),f844(x77753,x77755)))+E(f844(f844(f148(x77751,x77752,x77753),x77754),f844(f844(f151(x77751),x77755),x77756)),f844(f844(f151(x77751),x77754),f844(f844(f151(x77751),x77755),x77756)))
% 202.05/201.93 [7886]E(x78861,x78862)+~E(f844(f844(f253(x78863,x78864),x78861),f844(f18(f916(x78864,a904),x78863),x78865)),f844(f844(f253(x78863,x78864),x78862),f844(f18(f916(x78864,a904),x78863),x78865)))+~P105(f844(f844(f328(x78864),x78866),x78865))
% 202.05/201.93 [7951]~P13(x79511,x79512,x79513)+~P105(f844(f60(x79511),x79516))+E(f844(f844(f63(x79511,x79512,x79513),x79514),f844(f844(f308(x79511),x79515),x79516)),f844(f844(x79513,x79515),f844(f844(f63(x79511,x79512,x79513),x79514),x79516)))
% 202.05/201.93 [8066]~P15(x80661,x80662,x80663)+~P105(f844(f60(x80661),x80666))+E(f844(f844(f63(x80661,x80662,x80663),f844(f844(x80663,x80664),x80665)),x80666),f844(f844(x80663,x80664),f844(f844(f63(x80661,x80662,x80663),x80665),x80666)))
% 202.05/201.93 [8134]~P19(x81342,x81345,x81346,x81341)+~P105(f844(f60(x81342),x81344))+E(f844(x81341,f844(f844(f308(x81342),x81343),x81344)),f844(f72(x81345,x81345,x81345,f844(x81341,x81344)),f844(x81346,x81343)))
% 202.05/201.93 [8166]~P108(x81662)+P105(f844(f844(f234(x81662),f844(x81663,x81664)),f844(x81663,x81665)))+E(f844(f844(f148(x81661,x81662,x81663),x81664),f844(f844(f151(x81661),x81665),x81666)),f844(f844(f151(x81661),x81665),f844(f844(f148(x81661,x81662,x81663),x81664),x81666)))
% 202.05/201.93 [8304]~E(f844(f189(f909(x83041)),x83045),f844(f189(f909(x83042)),x83046))+~E(f844(f189(f909(x83041)),x83043),f844(f189(f909(x83042)),x83044))+E(f844(f844(f134(f915(x83041,x83042)),f844(f844(f181(x83041,x83042),x83043),x83044)),f844(f844(f181(x83041,x83042),x83045),x83046)),f844(f844(f181(x83041,x83042),f844(f844(f134(x83041),x83043),x83045)),f844(f844(f134(x83042),x83044),x83046)))
% 202.05/201.93 [8415]~E(x84152,f844(f309(x84153,x84151,x84154),x84156))+P105(f844(f844(f234(f916(x84151,a904)),x84152),f844(f309(x84153,x84151,x84154),x84155)))+~P105(f844(f844(f234(f916(x84153,a904)),x84156),x84155))
% 202.05/201.93 [8516]~P108(x85165)+E(f844(x85161,x85162),f844(x85161,x85163))+E(f844(f844(f148(x85164,x85165,x85161),x85162),f844(f844(f148(x85164,x85165,x85161),x85163),x85166)),f844(f844(f148(x85164,x85165,x85161),x85163),f844(f844(f148(x85164,x85165,x85161),x85162),x85166)))
% 202.05/201.93 [8688]~P105(f844(f844(f328(x86882),x86884),f844(x86886,x86883)))+~P105(f844(f844(f328(x86881),x86883),x86885))+P105(f844(f844(f328(f915(x86881,x86882)),f844(f844(f251(x86881,x86882),x86883),x86884)),f844(f844(f253(x86881,x86882),x86885),x86886)))
% 202.05/201.93 [9162]~P69(x91622)+~P24(x91624,x91621,x91625,x91626)+E(f844(f844(f8(x91621,x91622),x91623),f844(f309(x91624,x91621,x91625),x91626)),f844(f844(f8(x91624,x91622),f844(f72(x91621,x91622,x91624,x91623),x91625)),x91626))
% 202.05/201.93 [9163]~P74(x91632)+~P24(x91634,x91631,x91635,x91636)+E(f844(f844(f11(x91631,x91632),x91633),f844(f309(x91634,x91631,x91635),x91636)),f844(f844(f11(x91634,x91632),f844(f72(x91631,x91632,x91634,x91633),x91635)),x91636))
% 202.05/201.93 [9210]~P33(x92102,x92105,x92101,x92103,x92106)+P105(f844(f844(x92101,f844(f844(f164(x92102),x92103),x92104)),f844(f844(f164(x92105),x92106),x92104)))+~P105(f844(f844(f235(a908),x92104),f844(f189(f909(x92105)),x92106)))
% 202.05/201.93 [9211]~P33(x92112,x92115,x92111,x92113,x92116)+P105(f844(f844(x92111,f844(f844(f164(x92112),x92113),x92114)),f844(f844(f164(x92115),x92116),x92114)))+~P105(f844(f844(f235(a908),x92114),f844(f189(f909(x92112)),x92113)))
% 202.05/201.93 [9222]~E(f844(f309(x92221,x92222,x92223),x92224),x92226)+E(f844(f309(x92221,x92222,x92223),f844(f309(x92222,x92221,f90(x92221,x92222,x92224,x92223)),x92225)),x92225)+~P105(f844(f844(f234(f916(x92222,a904)),x92225),x92226))
% 202.05/201.93 [9422]~P18(x94223,x94221,x94226,x94222)+~P105(f844(f60(x94223),x94224))+E(f844(f72(x94221,x94221,x94221,f844(x94222,f844(f844(f3(f916(x94223,a904)),x94224),f844(f844(f308(x94223),x94225),f188(f916(x94223,a904)))))),f844(x94226,x94225)),f844(x94222,f844(f844(f308(x94223),x94225),x94224)))
% 202.05/201.93 [10023]~E(f844(f309(x100232,x100234,x100236),f241(f916(x100232,a904))),f241(f916(x100234,a904)))+~E(f844(f309(x100231,x100233,x100235),f241(f916(x100231,a904))),f241(f916(x100233,a904)))+E(f844(f309(f915(x100231,x100232),f915(x100233,x100234),f257(x100231,x100233,x100232,x100234,x100235,x100236)),f241(f916(f915(x100231,x100232),a904))),f241(f916(f915(x100233,x100234),a904)))
% 202.05/201.93 [10081]~P24(x100813,x100814,x100815,f844(x100816,f539(x100816,x100815,x100814,x100813,x100812,x100811)))+P24(x100813,x100814,x100815,f844(f844(f38(x100812,f916(x100813,a904)),x100811),x100816))+E(x100811,f188(f916(x100812,a904)))
% 202.05/201.93 [10138]P24(x101386,x101385,x101384,f844(f844(f38(x101382,f916(x101386,a904)),x101381),x101383))+E(x101381,f188(f916(x101382,a904)))+P105(f844(f844(f328(x101382),f539(x101383,x101384,x101385,x101386,x101382,x101381)),x101381))
% 202.05/201.93 [10143]P105(f844(f844(f328(x101431),f589(x101432,x101433,x101434,x101435,x101436,x101431)),x101436))+P105(f844(f844(f234(f916(f915(x101431,x101434),a904)),f844(f844(f253(x101431,x101434),x101436),x101433)),f844(f844(f253(x101431,x101434),x101435),x101432)))+~P105(f844(f844(f234(f916(x101431,a904)),x101436),x101435))
% 202.05/201.93 [10266]~P105(f844(f844(f234(f916(x102662,a904)),f844(x102664,f589(x102666,x102664,x102662,x102665,x102663,x102661))),f844(x102666,f589(x102666,x102664,x102662,x102665,x102663,x102661))))+~P105(f844(f844(f234(f916(x102661,a904)),x102663),x102665))+P105(f844(f844(f234(f916(f915(x102661,x102662),a904)),f844(f844(f253(x102661,x102662),x102663),x102664)),f844(f844(f253(x102661,x102662),x102665),x102666)))
% 202.05/201.93 [7908]~P105(f844(x79081,x79085))+~P105(f844(x79086,x79084))+P105(f844(x79081,f844(f255(x79082,x79083),f844(f844(f251(x79082,x79083),x79084),x79085))))
% 202.05/201.93 [7909]~P105(f844(x79091,x79094))+~P105(f844(x79096,x79095))+P105(f844(x79091,f844(f250(x79092,x79093),f844(f844(f251(x79092,x79093),x79094),x79095))))
% 202.05/201.93 [7956]~P105(f844(f844(x79564,x79566),x79565))+~P105(f844(f844(f328(x79561),x79566),x79563))+P105(f844(f844(f844(f39(x79561,f916(x79562,a904)),x79563),x79564),x79565))
% 202.05/201.93 [8256]~P105(f844(f844(f328(x82561),x82562),f844(x82565,x82566)))+~P105(f844(f844(f328(x82563),x82566),x82564))+P105(f844(f844(f328(x82561),x82562),f844(f844(f39(x82563,f916(x82561,a904)),x82564),x82565)))
% 202.05/201.93 [8298]P105(f844(f844(x82981,x82982),x82983))+~P105(f844(f844(x82984,x82982),x82983))+~P105(f844(f844(f234(f916(x82985,f916(x82986,a904))),x82984),x82981))
% 202.05/201.93 [8438]P105(f844(f844(x84381,x84382),x84383))+~P105(f844(f844(f328(x84384),x84382),x84385))+~P105(f844(f844(f844(f38(x84384,f916(x84386,a904)),x84385),x84381),x84383))
% 202.05/201.93 [8571]P105(f844(f844(f328(x85711),x85712),f844(x85713,x85714)))+~P105(f844(f844(f328(x85715),x85714),x85716))+~P105(f844(f844(f328(x85711),x85712),f844(f844(f38(x85715,f916(x85711,a904)),x85716),x85713)))
% 202.05/201.93 [8837]~P10(x88374,x88375,x88376,x88371)+E(f844(x88371,x88372),f844(x88371,x88373))+~P105(f844(f844(f328(f915(x88374,x88374)),f844(f844(f251(x88374,x88374),x88372),x88373)),x88376))
% 202.05/201.93 [8872]P105(f844(f844(f234(f916(x88721,a904)),x88722),f844(x88723,x88724)))+~P105(f844(f844(f328(x88725),x88724),x88726))+~P105(f844(f844(f234(f916(x88721,a904)),x88722),f844(f844(f38(x88725,f916(x88721,a904)),x88726),x88723)))
% 202.05/201.93 [8905]~P53(x89053,x89054,f844(f285(x89054,x89053),x89055))+E(x89051,f188(f916(x89052,a904)))+E(f844(f844(f38(x89052,f916(x89053,a904)),x89051),f844(f844(f10(f916(x89054,a904),f916(x89053,a904),x89052),f284(x89054,x89053,x89055)),x89056)),f844(f284(x89054,x89053,x89055),f844(f844(f38(x89052,f916(x89054,a904)),x89051),x89056)))
% 202.05/201.93 [8983]P105(f844(f844(f328(x89831),x89832),f844(f284(x89833,x89831,x89834),x89835)))+~P105(f844(f844(f328(x89833),x89836),x89835))+~P105(f844(f844(f328(f915(x89833,x89831)),f844(f844(f251(x89833,x89831),x89836),x89832)),x89834))
% 202.05/201.93 [9287]P105(f844(f844(f234(f916(x92871,a904)),f844(f284(x92872,x92871,x92873),x92874)),f844(f284(x92872,x92871,x92875),x92876)))+~P105(f844(f844(f234(f916(x92872,a904)),x92874),x92876))+~P105(f844(f844(f234(f916(f915(x92872,x92871),a904)),x92873),x92875))
% 202.05/201.93 [9471]~P105(f844(f844(f328(x94712),x94716),x94714))+~P105(f844(f844(f234(f916(x94711,a904)),x94713),x94715))+P105(f844(f844(f234(f916(f915(x94711,x94712),a904)),f844(f844(f253(x94711,x94712),x94713),f844(f18(f916(x94712,a904),x94711),x94714))),f844(f844(f253(x94711,x94712),x94715),f844(f18(f916(x94712,a904),x94711),x94714))))
% 202.05/201.93 [9483]~P33(x94831,x94832,x94833,x94835,x94836)+P105(f844(f844(f256(x94831,x94832,a904),x94833),x94834))+~P105(f844(f844(f328(f915(x94831,x94832)),x94834),f844(f172(f915(x94831,x94832)),f844(f844(f181(x94831,x94832),x94835),x94836))))
% 202.05/201.93 [9620]~E(x96203,x96205)+P105(f844(f844(f328(f915(f909(x96201),f909(x96201))),f844(f844(f251(f909(x96201),f909(x96201)),f844(f844(f151(x96201),x96202),x96203)),f844(f844(f151(x96201),x96204),x96205))),f157(x96201,x96206)))+~P105(f844(f844(f328(f915(x96201,x96201)),f844(f844(f251(x96201,x96201),x96202),x96204)),x96206))
% 202.05/201.93 [9626]~E(f844(f189(f909(x96261)),x96263),f844(f189(f909(x96261)),x96265))+P105(f844(f844(f328(f915(f909(x96261),f909(x96261))),f844(f844(f251(f909(x96261),f909(x96261)),f844(f844(f151(x96261),x96262),x96263)),f844(f844(f151(x96261),x96264),x96265))),f145(x96261,x96266)))+~P105(f844(f844(f328(f915(x96261,x96261)),f844(f844(f251(x96261,x96261),x96262),x96264)),x96266))
% 202.05/201.93 [9658]P105(f844(f844(f328(f915(x96581,x96581)),f844(f844(f251(x96581,x96581),x96582),x96583)),f844(f844(f183(f915(x96581,x96581),a904),f844(a112,x96584)),x96585)))+~P105(f844(f844(f328(f915(x96581,x96581)),f844(f844(f251(x96581,x96581),x96586),x96583)),x96585))+~P105(f844(f844(f328(f915(x96581,x96581)),f844(f844(f251(x96581,x96581),x96582),x96586)),f844(f844(f183(f915(x96581,x96581),a904),x96584),x96585)))
% 202.05/201.93 [9659]P105(f844(f844(f328(f915(x96591,x96591)),f844(f844(f251(x96591,x96591),x96592),x96593)),f844(f844(f183(f915(x96591,x96591),a904),f844(a112,x96594)),x96595)))+~P105(f844(f844(f328(f915(x96591,x96591)),f844(f844(f251(x96591,x96591),x96592),x96596)),x96595))+~P105(f844(f844(f328(f915(x96591,x96591)),f844(f844(f251(x96591,x96591),x96596),x96593)),f844(f844(f183(f915(x96591,x96591),a904),x96594),x96595)))
% 202.05/201.93 [9662]~P105(f844(f844(f328(x96624),x96625),x96626))+P105(f844(f844(f234(f916(x96621,a904)),x96622),x96623))+~P105(f844(f844(f234(f916(f915(x96621,x96624),a904)),f844(f844(f253(x96621,x96624),x96622),f844(f18(f916(x96624,a904),x96621),x96626))),f844(f844(f253(x96621,x96624),x96623),f844(f18(f916(x96624,a904),x96621),x96626))))
% 202.05/201.93 [9707]E(x97071,x97072)+~P105(f844(f844(f328(f915(f909(x97073),f909(x97073))),f844(f844(f251(f909(x97073),f909(x97073)),f844(f844(f151(x97073),x97071),x97075)),f844(f844(f151(x97073),x97072),x97076))),f145(x97073,x97074)))+P105(f844(f844(f328(f915(x97073,x97073)),f844(f844(f251(x97073,x97073),x97071),x97072)),x97074))
% 202.05/201.93 [9708]E(x97081,x97082)+~P105(f844(f844(f328(f915(f909(x97083),f909(x97083))),f844(f844(f251(f909(x97083),f909(x97083)),f844(f844(f151(x97083),x97081),x97085)),f844(f844(f151(x97083),x97082),x97086))),f147(x97083,x97084)))+P105(f844(f844(f328(f915(x97083,x97083)),f844(f844(f251(x97083,x97083),x97081),x97082)),x97084))
% 202.05/201.93 [9709]E(x97091,x97092)+~P105(f844(f844(f328(f915(f909(x97093),f909(x97093))),f844(f844(f251(f909(x97093),f909(x97093)),f844(f844(f151(x97093),x97091),x97095)),f844(f844(f151(x97093),x97092),x97096))),f157(x97093,x97094)))+P105(f844(f844(f328(f915(x97093,x97093)),f844(f844(f251(x97093,x97093),x97091),x97092)),x97094))
% 202.05/201.93 [9745]P105(f844(f844(f328(f915(f909(x97451),f909(x97451))),f844(f844(f251(f909(x97451),f909(x97451)),f844(f844(f151(x97451),x97452),x97453)),f844(f844(f151(x97451),x97454),x97455))),f158(x97451,x97456)))+~P105(f844(f844(f328(f915(f909(x97451),f909(x97451))),f844(f844(f251(f909(x97451),f909(x97451)),x97453),x97455)),f158(x97451,x97456)))+~P105(f844(f844(f328(f915(x97451,x97451)),f844(f844(f251(x97451,x97451),x97452),x97454)),x97456))
% 202.05/201.93 [9762]P105(f844(x97621,x97622))+~P105(f844(x97621,f461(x97621,x97623,x97624,x97625,x97626)))+~P105(f844(f844(f328(x97626),x97622),f844(f844(f39(x97625,f916(x97626,a904)),x97624),x97623)))
% 202.05/201.93 [9767]~P105(f844(f844(f328(f915(f909(x97671),f909(x97671))),f844(f844(f251(f909(x97671),f909(x97671)),f844(f844(f151(x97671),x97672),x97675)),f844(f844(f151(x97671),x97673),x97676))),f145(x97671,x97674)))+P105(f844(f844(f328(f915(f909(x97671),f909(x97671))),f844(f844(f251(f909(x97671),f909(x97671)),x97675),x97676)),f145(x97671,x97674)))+P105(f844(f844(f328(f915(x97671,x97671)),f844(f844(f251(x97671,x97671),x97672),x97673)),x97674))
% 202.05/201.93 [9768]~P105(f844(f844(f328(f915(f909(x97681),f909(x97681))),f844(f844(f251(f909(x97681),f909(x97681)),f844(f844(f151(x97681),x97682),x97685)),f844(f844(f151(x97681),x97683),x97686))),f147(x97681,x97684)))+P105(f844(f844(f328(f915(f909(x97681),f909(x97681))),f844(f844(f251(f909(x97681),f909(x97681)),x97685),x97686)),f147(x97681,x97684)))+P105(f844(f844(f328(f915(x97681,x97681)),f844(f844(f251(x97681,x97681),x97682),x97683)),x97684))
% 202.05/201.93 [9769]~P105(f844(f844(f328(f915(f909(x97691),f909(x97691))),f844(f844(f251(f909(x97691),f909(x97691)),f844(f844(f151(x97691),x97692),x97695)),f844(f844(f151(x97691),x97693),x97696))),f157(x97691,x97694)))+P105(f844(f844(f328(f915(f909(x97691),f909(x97691))),f844(f844(f251(f909(x97691),f909(x97691)),x97695),x97696)),f157(x97691,x97694)))+P105(f844(f844(f328(f915(x97691,x97691)),f844(f844(f251(x97691,x97691),x97692),x97693)),x97694))
% 202.05/201.93 [9858]P105(f844(x98581,x98582))+P105(f844(f844(f328(x98583),f462(x98581,x98584,x98585,x98583,x98586)),x98585))+~P105(f844(f844(f328(x98586),x98582),f844(f844(f39(x98583,f916(x98586,a904)),x98585),x98584)))
% 202.05/201.93 [9869]~E(x98692,x98694)+P105(f844(f844(f328(f915(f909(x98691),f909(x98691))),f844(f844(f251(f909(x98691),f909(x98691)),f844(f844(f134(x98691),x98692),f844(f844(f151(x98691),x98693),f113(x98691)))),f844(f844(f134(x98691),x98694),f844(f844(f151(x98691),x98695),f113(x98691))))),f157(x98691,x98696)))+~P105(f844(f844(f328(f915(x98691,x98691)),f844(f844(f251(x98691,x98691),x98693),x98695)),x98696))
% 202.05/201.93 [9943]E(x99431,x99432)+~P105(f844(f844(f328(f915(f909(x99433),f909(x99433))),f844(f844(f251(f909(x99433),f909(x99433)),f844(f844(f134(x99433),x99435),f844(f844(f151(x99433),x99431),f113(x99433)))),f844(f844(f134(x99433),x99436),f844(f844(f151(x99433),x99432),f113(x99433))))),f157(x99433,x99434)))+P105(f844(f844(f328(f915(x99433,x99433)),f844(f844(f251(x99433,x99433),x99431),x99432)),x99434))
% 202.05/201.93 [9974]~P105(f844(f844(f328(f915(f909(x99741),f909(x99741))),f844(f844(f251(f909(x99741),f909(x99741)),f844(f844(f134(x99741),x99745),f844(f844(f151(x99741),x99742),f113(x99741)))),f844(f844(f134(x99741),x99746),f844(f844(f151(x99741),x99743),f113(x99741))))),f157(x99741,x99744)))+P105(f844(f844(f328(f915(f909(x99741),f909(x99741))),f844(f844(f251(f909(x99741),f909(x99741)),x99745),x99746)),f157(x99741,x99744)))+P105(f844(f844(f328(f915(x99741,x99741)),f844(f844(f251(x99741,x99741),x99742),x99743)),x99744))
% 202.05/201.93 [9994]P105(f844(x99941,x99942))+P105(f844(f844(f328(x99943),f461(x99941,x99944,x99945,x99946,x99943)),f844(x99944,f462(x99941,x99944,x99945,x99946,x99943))))+~P105(f844(f844(f328(x99943),x99942),f844(f844(f39(x99946,f916(x99943,a904)),x99945),x99944)))
% 202.05/201.93 [10147]P105(f844(f844(f328(x101471),f823(x101472,x101473,x101474,x101475,x101476,x101471)),x101475))+~P105(f844(f844(f234(f916(x101471,a904)),x101476),x101475))+P105(f844(f844(f234(f916(x101474,a904)),f844(f844(f38(x101471,f916(x101474,a904)),x101475),x101473)),f844(f844(f38(x101471,f916(x101474,a904)),x101475),x101472)))
% 202.05/201.93 [10267]~P105(f844(f844(f234(f916(x102671,a904)),f844(x102674,f823(x102675,x102674,x102671,x102673,x102676,x102672))),f844(x102675,f823(x102675,x102674,x102671,x102673,x102676,x102672))))+~P105(f844(f844(f234(f916(x102672,a904)),x102676),x102673))+P105(f844(f844(f234(f916(x102671,a904)),f844(f844(f38(x102672,f916(x102671,a904)),x102673),x102674)),f844(f844(f38(x102672,f916(x102671,a904)),x102673),x102675)))
% 202.05/201.93 [9003]~P15(x90033,x90034,x90031)+~P105(f844(f60(x90033),x90036))+E(f844(f844(x90031,x90032),f844(f844(f63(x90033,x90034,x90031),x90035),f844(f844(f3(f916(x90033,a904)),x90036),f844(f844(f308(x90033),x90032),f188(f916(x90033,a904)))))),f844(f844(f63(x90033,x90034,x90031),x90035),f844(f844(f308(x90033),x90032),x90036)))
% 202.05/201.93 [9296]~P105(f844(f844(f328(x92965),x92963),x92966))+P105(f844(f844(f234(f916(x92961,a904)),f844(x92962,x92963)),x92964))+~P105(f844(f844(f234(f916(x92961,a904)),f844(f844(f39(x92965,f916(x92961,a904)),x92966),x92962)),x92964))
% 202.05/201.93 [9918]~P7(x99181,x99185,x99184)+P105(f844(f844(f328(f915(x99181,x99181)),f844(f844(f251(x99181,x99181),x99182),x99183)),x99184))+~P105(f844(f844(f328(x99181),x99186),f844(f844(f101(f916(x99181,a904)),f844(f284(x99181,x99181,x99184),f844(f844(f308(x99181),x99182),f188(f916(x99181,a904))))),f844(f284(x99181,x99181,x99184),f844(f844(f308(x99181),x99183),f188(f916(x99181,a904)))))))
% 202.05/201.93 [8725]~P110(x87252)+~E(f844(f844(f79(x87252),f844(f844(f80(x87252),x87254),x87255)),x87251),f844(f844(f79(x87252),f844(f844(f80(x87252),x87253),x87255)),x87256))+E(x87251,f844(f844(f79(x87252),f844(f844(f80(x87252),f844(f844(f3(x87252),x87253),x87254)),x87255)),x87256))
% 202.05/201.93 [8726]~P110(x87261)+~E(f844(f844(f79(x87261),f844(f844(f80(x87261),x87262),x87264)),x87265),f844(f844(f79(x87261),f844(f844(f80(x87261),x87263),x87264)),x87266))+E(f844(f844(f79(x87261),f844(f844(f80(x87261),f844(f844(f3(x87261),x87262),x87263)),x87264)),x87265),x87266)
% 202.05/201.93 [8908]~P110(x89081)+E(f844(f844(f79(x89081),f844(f844(f80(x89081),x89082),x89083)),x89084),f844(f844(f79(x89081),f844(f844(f80(x89081),x89085),x89083)),x89086))+~E(x89086,f844(f844(f79(x89081),f844(f844(f80(x89081),f844(f844(f3(x89081),x89082),x89085)),x89083)),x89084))
% 202.05/201.93 [8909]~P110(x89091)+E(f844(f844(f79(x89091),f844(f844(f80(x89091),x89092),x89093)),x89094),f844(f844(f79(x89091),f844(f844(f80(x89091),x89095),x89093)),x89096))+~E(f844(f844(f79(x89091),f844(f844(f80(x89091),f844(f844(f3(x89091),x89092),x89095)),x89093)),x89094),x89096)
% 202.05/201.93 [9233]~P105(f844(f844(x92334,x92335),x92336))+~P105(f844(f844(x92333,x92335),x92336))+P105(f844(f844(f844(f844(f101(f916(x92331,f916(x92332,a904))),x92333),x92334),x92335),x92336))
% 202.05/201.93 [9492]P105(f844(f844(x94921,x94922),x94923))+P105(f844(f844(x94924,x94922),x94923))+~P105(f844(f844(f844(f844(f110(f916(x94925,f916(x94926,a904))),x94924),x94921),x94922),x94923))
% 202.05/201.93 [9782]~P111(x97821)+~P105(f844(f844(f234(x97821),f844(f844(f79(x97821),f844(f844(f80(x97821),x97824),x97825)),x97822)),f844(f844(f79(x97821),f844(f844(f80(x97821),x97823),x97825)),x97826)))+P105(f844(f844(f234(x97821),x97822),f844(f844(f79(x97821),f844(f844(f80(x97821),f844(f844(f3(x97821),x97823),x97824)),x97825)),x97826)))
% 202.05/201.93 [9783]~P111(x97831)+~P105(f844(f844(f235(x97831),f844(f844(f79(x97831),f844(f844(f80(x97831),x97834),x97835)),x97832)),f844(f844(f79(x97831),f844(f844(f80(x97831),x97833),x97835)),x97836)))+P105(f844(f844(f235(x97831),x97832),f844(f844(f79(x97831),f844(f844(f80(x97831),f844(f844(f3(x97831),x97833),x97834)),x97835)),x97836)))
% 202.05/201.93 [9807]~P111(x98071)+P105(f844(f844(f234(x98071),f844(f844(f79(x98071),f844(f844(f80(x98071),x98072),x98073)),x98074)),f844(f844(f79(x98071),f844(f844(f80(x98071),x98075),x98073)),x98076)))+~P105(f844(f844(f234(x98071),x98074),f844(f844(f79(x98071),f844(f844(f80(x98071),f844(f844(f3(x98071),x98075),x98072)),x98073)),x98076)))
% 202.05/201.93 [9808]~P111(x98081)+P105(f844(f844(f235(x98081),f844(f844(f79(x98081),f844(f844(f80(x98081),x98082),x98083)),x98084)),f844(f844(f79(x98081),f844(f844(f80(x98081),x98085),x98083)),x98086)))+~P105(f844(f844(f235(x98081),x98084),f844(f844(f79(x98081),f844(f844(f80(x98081),f844(f844(f3(x98081),x98085),x98082)),x98083)),x98086)))
% 202.05/201.93 [9910]~P111(x99101)+~P105(f844(f844(f234(x99101),f844(f844(f79(x99101),f844(f844(f80(x99101),x99102),x99104)),x99105)),f844(f844(f79(x99101),f844(f844(f80(x99101),x99103),x99104)),x99106)))+P105(f844(f844(f234(x99101),f844(f844(f79(x99101),f844(f844(f80(x99101),f844(f844(f3(x99101),x99102),x99103)),x99104)),x99105)),x99106))
% 202.05/201.93 [9911]~P111(x99111)+~P105(f844(f844(f235(x99111),f844(f844(f79(x99111),f844(f844(f80(x99111),x99112),x99114)),x99115)),f844(f844(f79(x99111),f844(f844(f80(x99111),x99113),x99114)),x99116)))+P105(f844(f844(f235(x99111),f844(f844(f79(x99111),f844(f844(f80(x99111),f844(f844(f3(x99111),x99112),x99113)),x99114)),x99115)),x99116))
% 202.05/201.93 [9957]~P111(x99571)+P105(f844(f844(f234(x99571),f844(f844(f79(x99571),f844(f844(f80(x99571),x99572),x99573)),x99574)),f844(f844(f79(x99571),f844(f844(f80(x99571),x99575),x99573)),x99576)))+~P105(f844(f844(f234(x99571),f844(f844(f79(x99571),f844(f844(f80(x99571),f844(f844(f3(x99571),x99572),x99575)),x99573)),x99574)),x99576))
% 202.05/201.93 [9958]~P111(x99581)+P105(f844(f844(f235(x99581),f844(f844(f79(x99581),f844(f844(f80(x99581),x99582),x99583)),x99584)),f844(f844(f79(x99581),f844(f844(f80(x99581),x99585),x99583)),x99586)))+~P105(f844(f844(f235(x99581),f844(f844(f79(x99581),f844(f844(f80(x99581),f844(f844(f3(x99581),x99582),x99585)),x99583)),x99584)),x99586))
% 202.05/201.93 [10132]~P69(x101322)+~P105(f844(f60(x101321),x101326))+E(f844(f844(f8(x101321,x101322),f844(f844(f20(x101321,x101322,x101322),f844(f844(f20(x101321,x101322,f916(x101322,x101322)),f844(f844(f10(a904,f916(x101322,f916(x101322,x101322)),x101321),f96(x101322)),x101323)),x101324)),x101325)),x101326),f844(f844(f79(x101322),f844(f844(f8(x101321,x101322),x101324),f844(f844(f101(f916(x101321,a904)),x101326),f844(f261(x101321),x101323)))),f844(f844(f8(x101321,x101322),x101325),f844(f844(f101(f916(x101321,a904)),x101326),f844(f78(f916(x101321,a904)),f844(f261(x101321),x101323))))))
% 202.05/201.93 [10192]P105(f844(f844(f328(x101922),x101924),x101926))+P105(f844(f844(f328(x101922),x101925),x101926))+E(f844(f310(x101921,x101922,f844(f844(f9(x101921,x101922,x101922),f844(f844(f9(x101921,x101922,f916(x101922,x101922)),f844(f844(f10(a904,f916(x101922,f916(x101922,x101922)),x101921),f96(x101922)),f844(f844(f9(x101921,f916(x101921,a904),a904),f328(x101921)),x101923))),x101924)),x101925)),x101926),f188(f916(x101921,a904)))
% 202.05/201.93 [10193]P105(f844(f844(f328(x101932),x101935),x101936))+~P105(f844(f844(f328(x101932),x101934),x101936))+E(f844(f310(x101931,x101932,f844(f844(f9(x101931,x101932,x101932),f844(f844(f9(x101931,x101932,f916(x101932,x101932)),f844(f844(f10(a904,f916(x101932,f916(x101932,x101932)),x101931),f96(x101932)),f844(f844(f9(x101931,f916(x101931,a904),a904),f328(x101931)),x101933))),x101934)),x101935)),x101936),x101933)
% 202.05/201.93 [10194]P105(f844(f844(f328(x101942),x101944),x101946))+~P105(f844(f844(f328(x101942),x101945),x101946))+E(f844(f310(x101941,x101942,f844(f844(f9(x101941,x101942,x101942),f844(f844(f9(x101941,x101942,f916(x101942,x101942)),f844(f844(f10(a904,f916(x101942,f916(x101942,x101942)),x101941),f96(x101942)),f844(f844(f9(x101941,f916(x101941,a904),a904),f328(x101941)),x101943))),x101944)),x101945)),x101946),f844(f78(f916(x101941,a904)),x101943))
% 202.05/201.93 [10195]~P105(f844(f844(f328(x101952),x101954),x101956))+~P105(f844(f844(f328(x101952),x101955),x101956))+E(f844(f310(x101951,x101952,f844(f844(f9(x101951,x101952,x101952),f844(f844(f9(x101951,x101952,f916(x101952,x101952)),f844(f844(f10(a904,f916(x101952,f916(x101952,x101952)),x101951),f96(x101952)),f844(f844(f9(x101951,f916(x101951,a904),a904),f328(x101951)),x101953))),x101954)),x101955)),x101956),f241(f916(x101951,a904)))
% 202.05/201.93 [8758]E(x87581,x87582)+~P55(x87584,x87585,x87583,x87586,x87587)+~E(f844(x87583,x87581),f844(x87583,x87582))
% 202.05/201.93 [8787]~P9(x87876,x87875,x87877,x87874,x87871)+E(f844(f844(x87871,x87872),x87873),x87874)+P105(f844(f60(x87875),x87873))
% 202.05/201.93 [9649]P41(x96491,x96492,x96493,x96494,x96495,f844(f844(x96493,x96496),x96497))+~E(f844(f844(x96493,x96496),x96497),x96494)+~E(x96495,f188(f916(x96491,a904)))
% 202.05/201.93 [9829]~P105(f844(x98296,x98293))+~P105(f844(f844(f328(f915(x98292,x98292)),f844(f844(f251(x98292,x98292),x98294),x98295)),f844(x98297,x98293)))+P105(f844(f844(f328(f915(f915(x98291,x98292),f915(x98291,x98292))),f844(f844(f251(f915(x98291,x98292),f915(x98291,x98292)),f844(f844(f251(x98291,x98292),x98293),x98294)),f844(f844(f251(x98291,x98292),x98293),x98295))),f279(x98291,x98292,x98296,x98297)))
% 202.05/201.93 [10255]~P41(x102552,x102557,x102553,x102556,x102551,f844(f844(x102553,x102555),x102554))+E(f844(f844(x102553,f381(x102554,x102555,x102551,x102556,x102553,x102557,x102552)),f393(x102554,x102555,x102551,x102556,x102553,x102557,x102552)),f844(f844(x102553,x102555),x102554))+E(x102551,f188(f916(x102552,a904)))
% 202.05/201.93 [10256]~P41(x102567,x102566,x102561,x102564,x102565,f844(f844(x102561,x102562),x102563))+E(f844(f844(x102561,f381(x102563,x102562,x102565,x102564,x102561,x102566,x102567)),f393(x102563,x102562,x102565,x102564,x102561,x102566,x102567)),f844(f844(x102561,x102562),x102563))+E(f844(f844(x102561,x102562),x102563),x102564)
% 202.05/201.93 [9329]~P33(x93291,x93292,x93293,x93295,x93297)+P33(x93291,x93292,x93293,f844(f844(f151(x93291),x93294),x93295),f844(f844(f151(x93292),x93296),x93297))+~P105(f844(f844(x93293,x93294),x93296))
% 202.05/201.93 [9345]P33(x93451,x93452,x93453,x93454,x93455)+~P33(x93451,x93452,x93453,f844(f844(f134(x93451),x93456),x93454),f844(f844(f134(x93452),x93457),x93455))+~E(f844(f189(f909(x93451)),x93456),f844(f189(f909(x93452)),x93457))
% 202.05/201.93 [9346]P33(x93461,x93462,x93463,x93464,x93465)+~P33(x93461,x93462,x93463,f844(f844(f134(x93461),x93464),x93466),f844(f844(f134(x93462),x93465),x93467))+~E(f844(f189(f909(x93461)),x93464),f844(f189(f909(x93462)),x93465))
% 202.05/201.93 [9556]~P33(x95561,x95562,x95563,x95565,x95567)+~P33(x95561,x95562,x95563,x95564,x95566)+P33(x95561,x95562,x95563,f844(f844(f134(x95561),x95564),x95565),f844(f844(f134(x95562),x95566),x95567))
% 202.05/201.93 [9903]~P105(f844(f65(x99031,x99034,x99035,x99036,x99033),x99037))+P105(f844(f65(x99031,x99034,x99035,x99036,f844(f844(f308(x99031),x99032),x99033)),f844(f844(x99035,x99032),x99037)))+P105(f844(f844(f328(x99031),x99032),x99033))
% 202.05/201.93 [10283]~P41(x102832,x102837,x102836,x102835,x102831,f844(f844(x102836,x102834),x102833))+E(x102831,f188(f916(x102832,a904)))+P105(f844(f844(f328(x102832),f381(x102833,x102834,x102831,x102835,x102836,x102837,x102832)),x102831))
% 202.05/201.93 [10284]~P41(x102845,x102847,x102841,x102844,x102846,f844(f844(x102841,x102842),x102843))+E(f844(f844(x102841,x102842),x102843),x102844)+P105(f844(f844(f328(x102845),f381(x102843,x102842,x102846,x102844,x102841,x102847,x102845)),x102846))
% 202.05/201.93 [10371]E(f844(f844(f251(x103711,x103712),x103713),x103714),f844(f844(f251(x103711,x103712),x103715),x103716))+P105(f844(f844(f328(f915(f915(x103711,x103712),f915(x103711,x103712))),f844(f844(f251(f915(x103711,x103712),f915(x103711,x103712)),f844(f844(f251(x103711,x103712),f828(x103717,x103714,x103713,x103716,x103715,x103712,x103711)),f834(x103717,x103714,x103713,x103716,x103715,x103712,x103711))),f844(f844(f251(x103711,x103712),x103713),x103714))),f306(f915(x103711,x103712),x103717)))+~P105(f844(f844(f328(f915(f915(x103711,x103712),f915(x103711,x103712))),f844(f844(f251(f915(x103711,x103712),f915(x103711,x103712)),f844(f844(f251(x103711,x103712),x103715),x103716)),f844(f844(f251(x103711,x103712),x103713),x103714))),f306(f915(x103711,x103712),x103717)))
% 202.05/201.93 [9028]~P20(x90284,x90285,x90286,x90287,x90281)+~P105(f844(f60(x90285),x90283))+E(f844(f844(x90281,x90282),x90283),f844(f844(f844(f64(x90284,x90285,x90286),x90282),x90287),x90283))
% 202.05/201.93 [9029]~P9(x90294,x90295,x90296,x90297,x90291)+~P105(f844(f60(x90295),x90293))+E(f844(f844(x90291,x90292),x90293),f844(f844(f844(f64(x90294,x90295,x90296),x90292),x90297),x90293))
% 202.05/201.93 [9793]~P23(x97931,x97932,f844(f844(f308(f907(x97931)),f91(x97931,x97933,x97934,x97937)),f188(f916(f907(x97931),a904))))+P23(x97931,x97932,f844(f844(f308(f907(x97931)),f91(x97931,x97933,f30(x97934,x97935),x97936)),f188(f916(f907(x97931),a904))))+~P23(x97931,x97932,f844(f844(f308(f907(x97931)),f91(x97931,x97937,x97935,x97936)),f188(f916(f907(x97931),a904))))
% 202.05/201.93 [9802]~P22(x98023,x98024,x98025,x98027,x98026,x98021)+~P105(f844(f60(x98024),x98022))+E(f844(x98021,x98022),f844(f844(f844(f64(x98023,x98024,x98025),x98026),x98027),x98022))
% 202.05/201.93 [9952]P41(x99521,x99522,x99523,x99524,x99525,f844(f844(x99523,x99526),x99527))+~P41(x99521,x99522,x99523,x99524,f844(f844(f3(f916(x99521,a904)),x99525),f844(f844(f308(x99521),x99526),f188(f916(x99521,a904)))),x99527)+~P105(f844(f844(f328(x99521),x99526),x99525))
% 202.05/201.93 [10078]~P23(x100781,x100782,f844(f844(f308(f907(x100781)),f91(x100781,f92(x100781,x100783,x100784),x100785,x100787)),f188(f916(f907(x100781),a904))))+P23(x100781,x100782,f844(f844(f308(f907(x100781)),f91(x100781,x100783,f27(x100784,x100785,x100786),x100787)),f188(f916(f907(x100781),a904))))+~P23(x100781,x100782,f844(f844(f308(f907(x100781)),f91(x100781,f92(x100781,x100783,f844(f72(a904,a904,a906,a321),x100784)),x100786,x100787)),f188(f916(f907(x100781),a904))))
% 202.05/201.93 [10307]P105(f844(f844(x103077,f778(x103074,x103075,x103071,x103076,x103073,x103072,x103077)),f777(x103074,x103075,x103071,x103076,x103073,x103072,x103077)))+~P105(f844(f844(x103077,f844(f255(x103072,x103073),x103076)),f844(f250(x103072,x103073),x103076)))+P105(f844(x103071,f844(f844(f256(x103072,x103073,x103074),x103075),x103076)))
% 202.05/201.93 [10317]~P41(x103172,x103173,x103174,x103175,x103171,f844(f844(x103174,x103177),x103176))+P41(x103172,x103173,x103174,x103175,f844(f844(f3(f916(x103172,a904)),x103171),f844(f844(f308(x103172),f381(x103176,x103177,x103171,x103175,x103174,x103173,x103172)),f188(f916(x103172,a904)))),f393(x103176,x103177,x103171,x103175,x103174,x103173,x103172))+E(x103171,f188(f916(x103172,a904)))
% 202.05/201.93 [10318]~P41(x103185,x103186,x103181,x103184,x103187,f844(f844(x103181,x103182),x103183))+P41(x103185,x103186,x103181,x103184,f844(f844(f3(f916(x103185,a904)),x103187),f844(f844(f308(x103185),f381(x103183,x103182,x103187,x103184,x103181,x103186,x103185)),f188(f916(x103185,a904)))),f393(x103183,x103182,x103187,x103184,x103181,x103186,x103185))+E(f844(f844(x103181,x103182),x103183),x103184)
% 202.05/201.93 [10338]~P105(f844(x103381,f844(f844(x103385,f777(x103384,x103385,x103381,x103386,x103383,x103382,x103387)),f778(x103384,x103385,x103381,x103386,x103383,x103382,x103387))))+~P105(f844(f844(x103387,f844(f255(x103382,x103383),x103386)),f844(f250(x103382,x103383),x103386)))+P105(f844(x103381,f844(f844(f256(x103382,x103383,x103384),x103385),x103386)))
% 202.05/201.93 [9634]P105(f844(f844(f234(f916(f915(x96341,x96342),a904)),f844(f844(f288(x96341,x96343,x96342),x96344),x96345)),f844(f844(f288(x96341,x96343,x96342),x96346),x96347)))+~P105(f844(f844(f234(f916(f915(x96343,x96342),a904)),x96345),x96347))+~P105(f844(f844(f234(f916(f915(x96341,x96343),a904)),x96344),x96346))
% 202.05/201.93 [10365]E(f844(f844(f251(x103651,x103652),x103653),x103654),f844(f844(f251(x103651,x103652),x103655),x103656))+~P105(f844(f844(f328(f915(f915(x103651,x103652),f915(x103651,x103652))),f844(f844(f251(f915(x103651,x103652),f915(x103651,x103652)),f844(f844(f251(x103651,x103652),x103653),x103654)),f844(f844(f251(x103651,x103652),x103655),x103656))),f306(f915(x103651,x103652),x103657)))+P105(f844(f844(f328(f915(f915(x103651,x103652),f915(x103651,x103652))),f844(f844(f251(f915(x103651,x103652),f915(x103651,x103652)),f844(f844(f251(x103651,x103652),x103653),x103654)),f844(f844(f251(x103651,x103652),f828(x103657,x103656,x103655,x103654,x103653,x103652,x103651)),f834(x103657,x103656,x103655,x103654,x103653,x103652,x103651)))),x103657))
% 202.05/201.93 [9963]~P105(f844(f844(f328(x99631),x99636),x99635))+P105(f844(f65(x99631,x99632,x99633,x99634,x99635),f844(f844(x99633,x99636),x99637)))+~P105(f844(f65(x99631,x99632,x99633,x99634,f844(f844(f3(f916(x99631,a904)),x99635),f844(f844(f308(x99631),x99636),f188(f916(x99631,a904))))),x99637))
% 202.05/201.93 [10378]~P144(x103781)+~P24(f915(x103782,x103783),x103781,f844(f256(x103782,x103783,x103781),f844(f844(f9(x103782,f916(x103783,x103781),f916(x103783,x103781)),f844(f844(f10(f916(x103781,x103781),f916(f916(x103783,x103781),f916(x103783,x103781)),x103782),f10(x103781,x103781,x103783)),f844(f844(f10(x103781,f916(x103781,x103781),x103782),f80(x103781)),x103784))),x103785)),f844(f844(f253(x103782,x103783),x103786),f844(f18(f916(x103783,a904),x103782),x103787)))+E(f844(f844(f8(x103781,x103781),f31(x103781)),f844(f261(x103781),f844(f844(f10(f916(x103782,a904),a904,x103781),f86(x103782)),f844(f844(f10(f916(x103782,f916(x103783,a904)),f916(x103782,a904),x103781),f844(f10(f916(x103783,a904),a904,x103782),f86(x103783))),f844(f844(f9(x103781,f916(x103782,f916(x103783,a904)),f916(x103782,f916(x103783,a904))),f844(f844(f10(f916(x103782,f916(f916(x103783,a904),f916(x103783,a904))),f916(f916(x103782,f916(x103783,a904)),f916(x103782,f916(x103783,a904))),x103781),f20(x103782,f916(x103783,a904),f916(x103783,a904))),f844(f844(f10(f916(x103782,f916(x103783,f916(a904,a904))),f916(x103782,f916(f916(x103783,a904),f916(x103783,a904))),x103781),f844(f10(f916(x103783,f916(a904,a904)),f916(f916(x103783,a904),f916(x103783,a904)),x103782),f20(x103783,a904,a904))),f844(f844(f10(f916(x103782,f916(x103783,a904)),f916(x103782,f916(x103783,f916(a904,a904))),x103781),f844(f10(f916(x103783,a904),f916(x103783,f916(a904,a904)),x103782),f844(f10(a904,f916(a904,a904),x103783),a325))),f844(f844(f9(x103781,f916(x103782,f916(x103783,x103781)),f916(x103782,f916(x103783,a904))),f844(f844(f10(f916(f916(x103783,x103781),f916(x103783,a904)),f916(f916(x103782,f916(x103783,x103781)),f916(x103782,f916(x103783,a904))),x103781),f10(f916(x103783,x103781),f916(x103783,a904),x103782)),f844(f844(f10(f916(x103781,a904),f916(f916(x103783,x103781),f916(x103783,a904)),x103781),f10(x103781,a904,x103783)),a324))),f844(f844(f9(x103782,f916(x103783,x103781),f916(x103783,x103781)),f844(f844(f10(f916(x103781,x103781),f916(f916(x103783,x103781),f916(x103783,x103781)),x103782),f10(x103781,x103781,x103783)),f844(f844(f10(x103781,f916(x103781,x103781),x103782),f80(x103781)),x103784))),x103785)))))),f844(f844(f9(x103782,f916(x103783,a904),f916(x103783,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x103783,a904),f916(x103783,a904)),x103782),f10(a904,a904,x103783)),f844(f844(f10(a904,f916(a904,a904),x103782),a325),f844(f844(f9(x103782,f916(x103782,a904),a904),f328(x103782)),x103786)))),f844(f844(f9(x103783,f916(x103783,a904),a904),f328(x103783)),x103787))))))),f844(f844(f80(x103781),f844(f844(f8(x103782,x103781),x103784),x103786)),f844(f844(f8(x103783,x103781),x103785),x103787)))
% 202.05/201.93 [9638]~P25(x96381,x96383,x96385,x96386,x96388)+~P25(x96383,x96382,x96384,x96388,x96387)+P25(x96381,x96382,f844(f72(x96383,x96382,x96381,x96384),x96385),x96386,x96387)
% 202.05/201.93 [9667]P25(x96671,x96672,x96673,x96674,x96675)+~P25(x96676,x96671,x96677,x96678,x96674)+~P25(x96676,x96672,f844(f72(x96671,x96672,x96676,x96673),x96677),x96678,x96675)
% 202.05/201.93 [9800]~P105(f844(f844(x98004,x98006),x98008))+~P105(f844(f844(x98005,x98008),x98007))+P105(f844(f844(f252(x98001,x98002,x98003,x98004,x98005),x98006),x98007))
% 202.05/201.93 [9399]~P18(x93998,x93991,x93993,x93995)+~P105(f844(f60(x93998),x93996))+E(f844(f72(x93991,x93991,x93992,f844(x93993,x93994)),f844(f72(x93991,x93991,x93992,f844(x93995,x93996)),x93997)),f844(f72(x93991,x93991,x93992,f844(x93995,x93996)),f844(f72(x93991,x93991,x93992,f844(x93993,x93994)),x93997)))
% 202.05/201.93 [9789]~P21(x97897,x97892,x97895,x97898,x97896,x97891)+~P105(f844(f60(x97892),x97894))+E(f844(x97891,f844(f844(f308(x97892),x97893),x97894)),f844(f844(x97895,f844(x97896,x97893)),f844(x97891,x97894)))
% 202.05/201.93 [9908]~P24(x99082,x99084,x99086,x99088)+~P24(x99081,x99083,x99085,x99087)+P24(f915(x99081,x99082),f915(x99083,x99084),f257(x99081,x99083,x99082,x99084,x99085,x99086),f844(f844(f253(x99081,x99082),x99087),f844(f18(f916(x99082,a904),x99081),x99088)))
% 202.05/201.93 [9582]P105(f844(f844(f328(f915(x95821,x95822)),f844(f844(f251(x95821,x95822),x95823),x95824)),f844(f844(f288(x95821,x95825,x95822),x95826),x95827)))+~P105(f844(f844(f328(f915(x95821,x95825)),f844(f844(f251(x95821,x95825),x95823),x95828)),x95826))+~P105(f844(f844(f328(f915(x95825,x95822)),f844(f844(f251(x95825,x95822),x95828),x95824)),x95827))
% 202.05/201.93 [9770]~P105(f844(f844(f234(f916(f915(x97703,x97702),a904)),x97705),f844(f844(f253(x97703,x97702),x97708),f844(f18(f916(x97702,a904),x97703),x97707))))+~P105(f844(f844(f234(f916(f915(x97701,x97703),a904)),x97704),f844(f844(f253(x97701,x97703),x97706),f844(f18(f916(x97703,a904),x97701),x97708))))+P105(f844(f844(f234(f916(f915(x97701,x97702),a904)),f844(f844(f288(x97701,x97703,x97702),x97704),x97705)),f844(f844(f253(x97701,x97702),x97706),f844(f18(f916(x97702,a904),x97701),x97707))))
% 202.05/201.93 [9824]~E(x98243,x98245)+P105(f844(f844(f328(f915(f915(x98241,x98242),f915(x98241,x98242))),f844(f844(f251(f915(x98241,x98242),f915(x98241,x98242)),f844(f844(f251(x98241,x98242),x98243),x98244)),f844(f844(f251(x98241,x98242),x98245),x98246))),f318(x98241,x98242,x98247,x98248)))+~P105(f844(f844(f328(f915(x98242,x98242)),f844(f844(f251(x98242,x98242),x98244),x98246)),x98248))
% 202.05/201.93 [9927]E(x99271,x99272)+~P105(f844(f844(f328(f915(f915(x99273,x99275),f915(x99273,x99275))),f844(f844(f251(f915(x99273,x99275),f915(x99273,x99275)),f844(f844(f251(x99273,x99275),x99271),x99276)),f844(f844(f251(x99273,x99275),x99272),x99277))),f318(x99273,x99275,x99274,x99278)))+P105(f844(f844(f328(f915(x99273,x99273)),f844(f844(f251(x99273,x99273),x99271),x99272)),x99274))
% 202.05/201.93 [9942]~P105(f844(f844(f328(f915(f915(x99421,x99425),f915(x99421,x99425))),f844(f844(f251(f915(x99421,x99425),f915(x99421,x99425)),f844(f844(f251(x99421,x99425),x99422),x99426)),f844(f844(f251(x99421,x99425),x99423),x99427))),f318(x99421,x99425,x99424,x99428)))+P105(f844(f844(f328(f915(x99421,x99421)),f844(f844(f251(x99421,x99421),x99422),x99423)),x99424))+P105(f844(f844(f328(f915(x99425,x99425)),f844(f844(f251(x99425,x99425),x99426),x99427)),x99428))
% 202.05/201.93 [9859]~P22(x98597,x98595,x98591,x98598,x98592,x98594)+~P105(f844(f60(x98595),x98596))+E(f844(f844(x98591,f844(x98592,x98593)),f844(x98594,f844(f844(f3(f916(x98595,a904)),x98596),f844(f844(f308(x98595),x98593),f188(f916(x98595,a904)))))),f844(x98594,f844(f844(f308(x98595),x98593),x98596)))
% 202.05/201.93 [9351]~P105(f844(f844(f844(x93515,x93518),x93516),x93517))+~P105(f844(f844(f328(x93511),x93518),x93514))+P105(f844(f844(f844(f844(f39(x93511,f916(x93512,f916(x93513,a904))),x93514),x93515),x93516),x93517))
% 202.05/201.93 [9567]P105(f844(f844(f844(x95671,x95672),x95673),x95674))+~P105(f844(f844(f328(x95675),x95672),x95676))+~P105(f844(f844(f844(f844(f38(x95675,f916(x95677,f916(x95678,a904))),x95676),x95671),x95673),x95674))
% 202.05/201.93 [9763]~P20(x97633,x97632,x97634,x97638,x97631)+~P105(f844(f60(x97632),x97637))+E(f844(f844(x97631,f844(f844(f20(x97632,x97633,x97633),f844(f844(f10(x97633,f916(x97633,x97633),x97632),x97634),x97635)),x97636)),x97637),f844(f844(x97634,f844(f844(x97631,x97635),x97637)),f844(f844(x97631,x97636),x97637)))
% 202.05/201.93 [10029]~E(f844(f309(x100292,x100294,x100296),x100298),x1002910)+~E(f844(f309(x100291,x100293,x100295),x100297),x100299)+E(f844(f309(f915(x100291,x100292),f915(x100293,x100294),f257(x100291,x100293,x100292,x100294,x100295,x100296)),f844(f844(f253(x100291,x100292),x100297),f844(f18(f916(x100292,a904),x100291),x100298))),f844(f844(f253(x100293,x100294),x100299),f844(f18(f916(x100294,a904),x100293),x1002910)))
% 202.05/201.93 [4998]~P42(x49981,x49982)+~P48(x49981,x49982)+~P49(x49981,x49982)+P6(x49981,x49982)
% 202.05/201.93 [4954]~P108(x49542)+~P12(x49542,x49541)+P12(x49542,f114(x49542,x49541))+E(x49541,f113(x49542))
% 202.05/201.93 [4955]~P108(x49552)+~P12(x49552,x49551)+P12(x49552,f696(x49551,x49552))+E(x49551,f113(x49552))
% 202.05/201.93 [5202]~P4(x52022)+E(f12(x52022,x52021),f36(x52022,x52021))+E(x52021,f188(f916(x52022,a904)))+~P105(f844(f60(x52022),x52021))
% 202.05/201.93 [5203]~P4(x52032)+E(f13(x52032,x52031),f37(x52032,x52031))+E(x52031,f188(f916(x52032,a904)))+~P105(f844(f60(x52032),x52031))
% 202.05/201.93 [5361]~P108(x53612)+~P12(x53612,x53611)+E(x53611,f113(x53612))+E(f844(f844(f151(x53612),f716(x53611,x53612)),f696(x53611,x53612)),x53611)
% 202.05/201.93 [6180]~P77(x61802)+E(x61801,f188(f916(x61802,a904)))+P105(f844(f844(f234(x61802),f13(x61802,x61801)),f12(x61802,x61801)))+~P105(f844(f60(x61802),x61801))
% 202.05/201.93 [6191]~P39(x61912)+~P39(x61911)+E(x61911,x61912)+~E(f844(f309(a1,a908,a104),x61911),f844(f309(a1,a908,a104),x61912))
% 202.05/201.93 [9212]~P118(x92121)+~P105(f844(f844(f328(x92121),x92122),f109(x92121)))+P105(f844(f844(f235(x92121),f844(f844(f79(x92121),f844(f844(f79(x92121),f77(x92121)),x92122)),x92122)),f2(x92121)))+~P105(f844(f844(f235(x92121),x92122),f2(x92121)))
% 202.05/201.93 [9452]~P118(x94521)+~P105(f844(f844(f328(x94521),x94522),f109(x94521)))+~P105(f844(f844(f235(x94521),f844(f844(f79(x94521),f844(f844(f79(x94521),f77(x94521)),x94522)),x94522)),f2(x94521)))+P105(f844(f844(f235(x94521),x94522),f2(x94521)))
% 202.05/201.93 [5013]~P115(x50132)+~P144(x50132)+E(x50131,f2(a908))+E(f844(f844(f243(x50132),f2(x50132)),x50131),f2(x50132))
% 202.05/201.93 [5016]~P115(x50161)+~P144(x50161)+~E(x50162,f2(a908))+E(f844(f844(f243(x50161),f2(x50161)),x50162),f77(x50161))
% 202.05/201.93 [5188]~P141(x51882)+E(x51881,f77(x51882))+E(x51881,f844(f78(x51882),f77(x51882)))+~E(f844(f844(f80(x51882),x51881),x51881),f77(x51882))
% 202.05/201.93 [5443]~P90(x54432)+E(x54431,f2(x54432))+E(f81(x54432,x54431),f844(f78(x54432),f77(x54432)))+P105(f844(f844(f235(x54432),f2(x54432)),x54431))
% 202.05/201.93 [5683]~P90(x56832)+E(f81(x56832,x56831),f77(x56832))+E(x56831,f2(x56832))+~P105(f844(f844(f235(x56832),f2(x56832)),x56831))
% 202.05/201.93 [5692]E(x56921,x56922)+~E(f844(f103(a908),x56921),f844(f103(a908),x56922))+P105(f844(a193,f844(f103(a1),x56922)))+P105(f844(a193,f844(f103(a1),x56921)))
% 202.05/201.93 [5743]~P92(x57431)+~E(x57432,f2(x57431))+E(f844(f844(f79(x57431),x57432),x57432),f2(x57431))+~P105(f844(f844(f328(x57431),x57432),f109(x57431)))
% 202.05/201.93 [5782]E(x57821,f2(a1))+~E(f844(f844(f35(a1),x57822),x57821),f2(a1))+P105(f844(f844(f235(a1),x57821),x57822))+P105(f844(f844(f235(a1),x57822),x57821))
% 202.05/201.93 [5812]E(x58121,f2(a1))+~E(f844(f844(f35(a1),x58122),x58121),f2(a1))+P105(f844(f844(f234(a1),x58122),f2(a1)))+P105(f844(f844(f235(a1),x58122),x58121))
% 202.05/201.93 [5846]E(x58461,f2(a1))+~E(f844(f844(f35(a1),x58462),x58461),f2(a1))+P105(f844(f844(f234(a1),f2(a1)),x58462))+P105(f844(f844(f235(a1),x58461),x58462))
% 202.05/201.93 [5881]~P92(x58812)+E(x58811,f2(x58812))+~E(f844(f844(f79(x58812),x58811),x58811),f2(x58812))+~P105(f844(f844(f328(x58812),x58811),f109(x58812)))
% 202.05/201.93 [5952]E(f844(f103(a908),x59521),f844(f103(a908),x59522))+~E(f844(f103(a1),x59522),f2(a1))+P105(f844(a193,f844(f103(a1),x59522)))+~P105(f844(a193,f844(f103(a1),x59521)))
% 202.05/201.93 [5981]~E(f844(f103(a908),x59812),f844(f103(a908),x59811))+E(f844(f103(a1),x59811),f2(a1))+P105(f844(a193,f844(f103(a1),x59811)))+~P105(f844(a193,f844(f103(a1),x59812)))
% 202.05/201.93 [5991]~P108(x59912)+E(x59911,f188(f916(x59912,a904)))+~P105(f844(f60(x59912),x59911))+P105(f844(f844(f328(x59912),f16(x59912,x59911)),x59911))
% 202.05/201.93 [5992]~P108(x59922)+E(x59921,f188(f916(x59922,a904)))+~P105(f844(f60(x59922),x59921))+P105(f844(f844(f328(x59922),f17(x59922,x59921)),x59921))
% 202.05/201.93 [6157]~P118(x61571)+~P94(x61571)+P105(f844(f844(f234(x61571),f2(x61571)),f844(f103(x61571),x61572)))+~P105(f844(f844(f234(a1),a82),x61572))
% 202.05/201.93 [6158]~P118(x61581)+~P94(x61581)+P105(f844(f844(f235(x61581),f2(x61581)),f844(f103(x61581),x61582)))+~P105(f844(f844(f235(a1),a82),x61582))
% 202.05/201.93 [6179]~P118(x61791)+~P94(x61791)+E(f844(f75(x61791),f844(f103(x61791),x61792)),f844(f103(x61791),x61792))+P105(f844(f844(f235(x61791),f844(f103(x61791),x61792)),f2(x61791)))
% 202.05/201.93 [6215]E(x62151,x62152)+~E(f844(a104,x62151),f844(a104,x62152))+~P105(f844(f844(f234(a1),f2(a1)),x62152))+~P105(f844(f844(f234(a1),f2(a1)),x62151))
% 202.05/201.93 [6413]~P94(x64132)+~P118(x64132)+~P105(f844(f844(f234(x64132),f2(x64132)),f844(f103(x64132),x64131)))+P105(f844(f844(f234(a1),a82),x64131))
% 202.05/201.93 [6414]~P94(x64142)+~P118(x64142)+~P105(f844(f844(f235(x64142),f2(x64142)),f844(f103(x64142),x64141)))+P105(f844(f844(f235(a1),a82),x64141))
% 202.05/201.93 [6419]~P118(x64191)+~P94(x64191)+P105(f844(f844(f234(x64191),f844(f103(x64191),x64192)),f2(x64191)))+~P105(f844(f844(f234(a1),x64192),a82))
% 202.05/201.93 [6420]~P118(x64201)+~P94(x64201)+P105(f844(f844(f235(x64201),f844(f103(x64201),x64202)),f2(x64201)))+~P105(f844(f844(f235(a1),x64202),a82))
% 202.05/201.93 [6740]~P94(x67402)+~P118(x67402)+~P105(f844(f844(f234(x67402),f844(f103(x67402),x67401)),f2(x67402)))+P105(f844(f844(f234(a1),x67401),a82))
% 202.05/201.93 [6741]~P94(x67412)+~P118(x67412)+~P105(f844(f844(f235(x67412),f844(f103(x67412),x67411)),f2(x67412)))+P105(f844(f844(f235(a1),x67411),a82))
% 202.05/201.93 [6835]~P118(x68351)+~P94(x68351)+E(f844(f75(x68351),f844(f103(x68351),x68352)),f844(f78(x68351),f844(f103(x68351),x68352)))+~P105(f844(f844(f235(x68351),f844(f103(x68351),x68352)),f2(x68351)))
% 202.05/201.93 [6854]E(f844(f103(a908),x68541),f844(f103(a908),x68542))+~E(f844(f103(a1),x68542),f2(a1))+~P105(f844(f844(f234(a1),f844(f103(a1),x68541)),f2(a1)))+~P105(f844(a193,f844(f103(a1),x68541)))
% 202.05/201.93 [7731]~P108(x77312)+E(x77311,f188(f916(x77312,a904)))+~P105(f844(f60(x77312),x77311))+P105(f844(f844(f234(x77312),f14(x77312,f232(x77312),x77311)),f15(x77312,f233(x77312),x77311)))
% 202.05/201.93 [8042]~P5(x80421)+~P39(x80422)+P105(f844(f844(f328(a1),x80421),x80422))+~P105(f844(f844(f328(a908),f844(a104,x80421)),f844(f309(a1,a908,a104),x80422)))
% 202.05/201.93 [5987]~P140(x59872)+E(x59871,f2(a1))+E(f844(f78(x59872),f844(f102(x59872),f844(f78(a1),x59871))),f844(f102(x59872),x59871))+~P105(f844(f844(f235(a1),x59871),f2(a1)))
% 202.05/201.93 [6061]~P92(x60611)+~P94(x60611)+~P27(x60611,f844(f103(x60611),x60612))+P27(x60611,f844(f103(x60611),f844(f844(f79(a1),x60612),x60612)))
% 202.05/201.93 [6402]~P75(x64022)+E(x64021,f188(f916(x64022,a904)))+E(f17(x64022,f844(f309(x64022,x64022,f78(x64022)),x64021)),f844(f78(x64022),f16(x64022,x64021)))+~P105(f844(f60(x64022),x64021))
% 202.05/201.93 [6403]~P75(x64032)+E(x64031,f188(f916(x64032,a904)))+E(f16(x64032,f844(f309(x64032,x64032,f78(x64032)),x64031)),f844(f78(x64032),f17(x64032,x64031)))+~P105(f844(f60(x64032),x64031))
% 202.05/201.93 [6436]~P92(x64361)+~P94(x64361)+P27(x64361,f844(f103(x64361),x64362))+~P27(x64361,f844(f103(x64361),f844(f844(f79(a1),x64362),x64362)))
% 202.05/201.93 [6530]E(x65301,f2(a1))+E(f844(a50,f49(f844(f78(a1),x65301),f844(f78(a1),x65302))),f45(x65301,x65302))+P105(f844(f844(f234(a1),f2(a1)),x65302))+~P105(f844(f844(f234(a1),f2(a1)),x65301))
% 202.05/201.93 [8815]~P39(x88152)+~P39(x88151)+P105(f844(f844(f235(f916(a908,a904)),f844(f309(a1,a908,a104),x88151)),f844(f309(a1,a908,a104),x88152)))+~P105(f844(f844(f235(f916(a1,a904)),x88151),x88152))
% 202.05/201.93 [9046]~E(f719(x90462,x90461),f720(x90462,x90461))+~P105(f844(f137(x90461),f721(x90462,x90461)))+~P105(f844(f137(f909(x90461)),x90462))+P105(f844(f137(x90461),f844(f142(f909(x90461),f909(x90461),f134(x90461),f113(x90461)),x90462)))
% 202.05/201.93 [9132]~P39(x91322)+~P39(x91321)+~P105(f844(f844(f234(f916(a908,a904)),f844(f309(a1,a908,a104),x91321)),f844(f309(a1,a908,a104),x91322)))+P105(f844(f844(f234(f916(a1,a904)),x91321),x91322))
% 202.05/201.93 [9133]~P39(x91332)+~P39(x91331)+~P105(f844(f844(f235(f916(a908,a904)),f844(f309(a1,a908,a104),x91331)),f844(f309(a1,a908,a104),x91332)))+P105(f844(f844(f235(f916(a1,a904)),x91331),x91332))
% 202.05/201.93 [9139]~E(f719(x91392,x91391),f720(x91392,x91391))+~P105(f844(f137(f909(x91391)),x91392))+P105(f844(f137(x91391),f844(f142(f909(x91391),f909(x91391),f134(x91391),f113(x91391)),x91392)))+P105(f844(f844(f328(f909(x91391)),f721(x91392,x91391)),f844(f172(f909(x91391)),x91392)))
% 202.05/201.93 [9180]~P105(f844(f137(x91801),f721(x91802,x91801)))+~P105(f844(f137(f909(x91801)),x91802))+P105(f844(f137(x91801),f844(f142(f909(x91801),f909(x91801),f134(x91801),f113(x91801)),x91802)))+P105(f844(f844(f328(f909(x91801)),f720(x91802,x91801)),f844(f172(f909(x91801)),x91802)))
% 202.05/201.93 [9181]~P105(f844(f137(x91811),f721(x91812,x91811)))+~P105(f844(f137(f909(x91811)),x91812))+P105(f844(f137(x91811),f844(f142(f909(x91811),f909(x91811),f134(x91811),f113(x91811)),x91812)))+P105(f844(f844(f328(f909(x91811)),f719(x91812,x91811)),f844(f172(f909(x91811)),x91812)))
% 202.05/201.93 [9258]~P105(f844(f137(f909(x92581)),x92582))+P105(f844(f137(x92581),f844(f142(f909(x92581),f909(x92581),f134(x92581),f113(x92581)),x92582)))+P105(f844(f844(f328(f909(x92581)),f720(x92582,x92581)),f844(f172(f909(x92581)),x92582)))+P105(f844(f844(f328(f909(x92581)),f721(x92582,x92581)),f844(f172(f909(x92581)),x92582)))
% 202.05/201.93 [9259]~P105(f844(f137(f909(x92591)),x92592))+P105(f844(f137(x92591),f844(f142(f909(x92591),f909(x92591),f134(x92591),f113(x92591)),x92592)))+P105(f844(f844(f328(f909(x92591)),f719(x92592,x92591)),f844(f172(f909(x92591)),x92592)))+P105(f844(f844(f328(f909(x92591)),f721(x92592,x92591)),f844(f172(f909(x92591)),x92592)))
% 202.05/201.93 [9273]~E(f844(f844(f101(f916(x92731,a904)),f844(f172(x92731),f720(x92732,x92731))),f844(f172(x92731),f719(x92732,x92731))),f188(f916(x92731,a904)))+~P105(f844(f137(x92731),f721(x92732,x92731)))+~P105(f844(f137(f909(x92731)),x92732))+P105(f844(f137(x92731),f844(f142(f909(x92731),f909(x92731),f134(x92731),f113(x92731)),x92732)))
% 202.05/201.93 [9333]~E(f844(f844(f101(f916(x93331,a904)),f844(f172(x93331),f720(x93332,x93331))),f844(f172(x93331),f719(x93332,x93331))),f188(f916(x93331,a904)))+~P105(f844(f137(f909(x93331)),x93332))+P105(f844(f137(x93331),f844(f142(f909(x93331),f909(x93331),f134(x93331),f113(x93331)),x93332)))+P105(f844(f844(f328(f909(x93331)),f721(x93332,x93331)),f844(f172(f909(x93331)),x93332)))
% 202.05/201.93 [9607]E(x96071,f2(a1))+E(x96072,f2(a1))+E(f844(f844(f85(a1,f915(a1,a1)),f844(f844(a217,x96072),x96071)),f844(f844(f20(a1,a1,f915(a1,a1)),f844(f844(f10(a1,f916(a1,f915(a1,a1)),a1),f251(a1,a1)),f844(f35(a1),x96072))),f844(f35(a1),x96071))),f215(x96072,x96071))+P105(f844(f844(f235(a1),x96071),f2(a1)))
% 202.05/201.93 [8363]~P94(x83632)+~P118(x83632)+~P105(f844(f844(f234(x83632),f844(f103(x83632),x83631)),f77(x83632)))+P105(f844(f844(f234(a1),x83631),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))
% 202.05/201.93 [8364]~P94(x83642)+~P118(x83642)+~P105(f844(f844(f235(x83642),f844(f103(x83642),x83641)),f77(x83642)))+P105(f844(f844(f235(a1),x83641),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))
% 202.05/201.93 [8632]~P118(x86321)+~P94(x86321)+P105(f844(f844(f234(x86321),f844(f103(x86321),x86322)),f77(x86321)))+~P105(f844(f844(f234(a1),x86322),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))
% 202.05/201.93 [8633]~P118(x86331)+~P94(x86331)+P105(f844(f844(f235(x86331),f844(f103(x86331),x86332)),f77(x86331)))+~P105(f844(f844(f235(a1),x86332),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))
% 202.05/201.93 [8843]~P94(x88432)+~P118(x88432)+~P105(f844(f844(f234(x88432),f77(x88432)),f844(f103(x88432),x88431)))+P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),x88431))
% 202.05/201.93 [8844]~P94(x88442)+~P118(x88442)+~P105(f844(f844(f235(x88442),f77(x88442)),f844(f103(x88442),x88441)))+P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),x88441))
% 202.05/201.93 [9218]~P118(x92181)+~P94(x92181)+P105(f844(f844(f234(x92181),f77(x92181)),f844(f103(x92181),x92182)))+~P105(f844(f844(f234(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),x92182))
% 202.05/201.93 [9219]~P118(x92191)+~P94(x92191)+P105(f844(f844(f235(x92191),f77(x92191)),f844(f103(x92191),x92192)))+~P105(f844(f844(f235(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),x92192))
% 202.05/201.93 [9736]~P141(x97362)+E(x97361,f77(x97362))+E(x97361,f844(f78(x97362),f77(x97362)))+~E(f844(f844(f243(x97362),x97361),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f77(x97362))
% 202.05/201.93 [10004]~P64(x100041)+~P94(x100041)+~P105(f844(f844(f235(x100041),f2(x100041)),x100042))+P105(f844(f844(f235(x100041),f2(x100041)),f844(f844(f290(x100041),x100042),f844(f103(x100041),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 202.05/201.93 [10057]~P64(x100571)+~P94(x100571)+P105(f844(f844(f235(x100571),f2(x100571)),x100572))+~P105(f844(f844(f235(x100571),f2(x100571)),f844(f844(f290(x100571),x100572),f844(f103(x100571),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 202.05/201.93 [10345]~P140(x103452)+E(x103451,f2(a1))+P105(f844(f844(f235(a1),x103451),f2(a1)))+E(f844(f844(f256(a1,a1,x103452),f844(f844(f9(a1,f916(a1,f916(x103452,x103452)),f916(a1,x103452)),f844(f844(f10(f916(f916(x103452,x103452),x103452),f916(f916(a1,f916(x103452,x103452)),f916(a1,x103452)),a1),f10(f916(x103452,x103452),x103452,a1)),f844(f844(f10(x103452,f916(f916(x103452,x103452),x103452),a1),f85(x103452,x103452)),f102(x103452)))),f844(f844(f9(a1,f916(x103452,x103452),f916(x103452,x103452)),f844(f844(f10(f916(x103452,f916(x103452,x103452)),f916(f916(x103452,x103452),f916(x103452,x103452)),a1),f20(x103452,x103452,x103452)),f844(f844(f9(a1,f916(x103452,x103452),f916(x103452,f916(x103452,x103452))),f844(f844(f10(f916(x103452,f916(x103452,x103452)),f916(f916(x103452,x103452),f916(x103452,f916(x103452,x103452))),a1),f10(x103452,f916(x103452,x103452),x103452)),f844(f844(f10(a904,f916(x103452,f916(x103452,x103452)),a1),f96(x103452)),f844(f844(f9(a1,a1,a904),a324),f2(a1))))),f844(f844(f20(x103452,x103452,x103452),f79(x103452)),f7(x103452))))),f844(f844(f9(x103452,x103452,x103452),f844(f844(f10(x103452,f916(x103452,x103452),x103452),f79(x103452)),f844(f844(f20(x103452,x103452,x103452),f79(x103452)),f7(x103452)))),f77(x103452))))),f45(x103451,f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f102(x103452),x103451))
% 202.05/201.93 [5452]~P37(x54521,x54523)+~P50(x54521,x54523)+~P51(x54521,x54522,x54523)+P7(x54521,x54522,x54523)
% 202.05/201.93 [4982]~P92(x49823)+~P94(x49823)+E(x49821,x49822)+~E(f844(f103(x49823),x49821),f844(f103(x49823),x49822))
% 202.05/201.93 [5462]~P48(x54621,x54622)+~P49(x54621,x54622)+P14(x54621,x54622)+~P105(f844(f844(x54622,x54623),x54623))
% 202.05/201.93 [5967]P14(x59672,x59671)+E(f844(x59671,f794(x59671)),f844(x59671,f795(x59671)))+P105(f844(f844(x59671,f794(x59671)),f795(x59671)))+~P105(f844(f844(x59671,x59673),x59673))
% 202.05/201.93 [6167]~P105(f844(x61671,x61672))+~P105(f844(x61671,x61673))+~P105(f844(f844(f234(a908),x61673),f878(x61672,x61671)))+P105(f844(x61671,f2(a908)))
% 202.05/201.93 [6234]P14(x62341,x62342)+P105(f844(f844(x62342,f794(x62342)),f794(x62342)))+P105(f844(f844(x62342,f794(x62342)),f795(x62342)))+~P105(f844(f844(x62342,x62343),x62343))
% 202.05/201.93 [6235]P14(x62351,x62352)+P105(f844(f844(x62352,f794(x62352)),f795(x62352)))+P105(f844(f844(x62352,f795(x62352)),f795(x62352)))+~P105(f844(f844(x62352,x62353),x62353))
% 202.05/201.93 [6593]P145(x65932,x65931,x65933)+E(x65931,f2(a1))+P105(f844(f844(f234(a1),f2(a1)),f849(x65933,x65931,x65932)))+P105(f844(f844(f235(a1),x65931),f2(a1)))
% 202.05/201.93 [6594]P146(x65942,x65941,x65943)+E(x65941,f2(a1))+P105(f844(f844(f234(a1),f2(a1)),f855(x65943,x65941,x65942)))+P105(f844(f844(f235(a1),x65941),f2(a1)))
% 202.05/201.93 [6720]P145(x67201,x67202,x67203)+~P105(f844(x67201,x67203))+P105(f844(f844(f234(a1),f2(a1)),f849(x67203,x67202,x67201)))+P105(f844(f844(f235(a1),x67202),f2(a1)))
% 202.05/201.93 [6746]P146(x67461,x67462,x67463)+P105(f844(f844(f234(a1),f2(a1)),f855(x67463,x67462,x67461)))+~P105(f844(x67461,f2(a1)))+P105(f844(f844(f235(a1),x67462),f2(a1)))
% 202.05/201.93 [6779]P145(x67792,x67791,x67793)+E(x67791,f2(a1))+~P105(f844(x67792,f849(x67793,x67791,x67792)))+P105(f844(f844(f235(a1),x67791),f2(a1)))
% 202.05/201.93 [6780]P146(x67802,x67801,x67803)+E(x67801,f2(a1))+~P105(f844(x67802,f856(x67803,x67801,x67802)))+P105(f844(f844(f235(a1),x67801),f2(a1)))
% 202.05/201.93 [6882]~P108(x68821)+~P4(x68821)+~P105(f844(f844(f235(x68821),x68822),f36(x68821,x68823)))+P105(f844(f844(f235(x68821),x68822),f685(x68823,x68822,x68821)))
% 202.05/201.93 [6891]P145(x68911,x68912,x68913)+~P105(f844(x68911,x68913))+~P105(f844(x68911,f849(x68913,x68912,x68911)))+P105(f844(f844(f235(a1),x68912),f2(a1)))
% 202.05/201.93 [6921]P146(x69211,x69212,x69213)+~P105(f844(x69211,f856(x69213,x69212,x69211)))+~P105(f844(x69211,f2(a1)))+P105(f844(f844(f235(a1),x69212),f2(a1)))
% 202.05/201.93 [7170]P145(x71702,x71701,x71703)+E(x71701,f2(a1))+P105(f844(f844(f234(a1),f2(a1)),f849(x71703,x71701,x71702)))+P105(f844(f844(f235(a1),x71701),f848(x71703,x71701,x71702)))
% 202.05/201.93 [7171]P146(x71712,x71711,x71713)+E(x71711,f2(a1))+P105(f844(f844(f234(a1),f2(a1)),f855(x71713,x71711,x71712)))+P105(f844(f844(f235(a1),x71711),f854(x71713,x71711,x71712)))
% 202.05/201.93 [7290]P145(x72901,x72902,x72903)+~P105(f844(x72901,x72903))+P105(f844(f844(f234(a1),f2(a1)),f849(x72903,x72902,x72901)))+P105(f844(f844(f235(a1),x72902),f848(x72903,x72902,x72901)))
% 202.05/201.93 [7309]P146(x73091,x73092,x73093)+P105(f844(f844(f234(a1),f2(a1)),f855(x73093,x73092,x73091)))+P105(f844(f844(f235(a1),x73092),f854(x73093,x73092,x73091)))+~P105(f844(x73091,f2(a1)))
% 202.05/201.93 [7341]P145(x73412,x73411,x73413)+E(x73411,f2(a1))+~P105(f844(x73412,f849(x73413,x73411,x73412)))+P105(f844(f844(f235(a1),x73411),f848(x73413,x73411,x73412)))
% 202.05/201.93 [7342]P146(x73422,x73421,x73423)+E(x73421,f2(a1))+~P105(f844(x73422,f856(x73423,x73421,x73422)))+P105(f844(f844(f235(a1),x73421),f854(x73423,x73421,x73422)))
% 202.05/201.93 [7386]P145(x73862,x73861,x73863)+E(x73861,f2(a1))+P105(f844(f844(f234(a1),f2(a1)),f849(x73863,x73861,x73862)))+~P105(f844(x73862,f848(x73863,x73861,x73862)))
% 202.05/201.93 [7387]P146(x73872,x73871,x73873)+E(x73871,f2(a1))+P105(f844(f844(f234(a1),f2(a1)),f855(x73873,x73871,x73872)))+~P105(f844(x73872,f857(x73873,x73871,x73872)))
% 202.05/201.93 [7485]P145(x74851,x74852,x74853)+~P105(f844(x74851,x74853))+~P105(f844(x74851,f849(x74853,x74852,x74851)))+P105(f844(f844(f235(a1),x74852),f848(x74853,x74852,x74851)))
% 202.05/201.93 [7500]P146(x75001,x75002,x75003)+~P105(f844(x75001,f856(x75003,x75002,x75001)))+P105(f844(f844(f235(a1),x75002),f854(x75003,x75002,x75001)))+~P105(f844(x75001,f2(a1)))
% 202.05/201.93 [7503]P145(x75031,x75032,x75033)+~P105(f844(x75031,x75033))+P105(f844(f844(f234(a1),f2(a1)),f849(x75033,x75032,x75031)))+~P105(f844(x75031,f848(x75033,x75032,x75031)))
% 202.05/201.93 [7520]P146(x75201,x75202,x75203)+P105(f844(f844(f234(a1),f2(a1)),f855(x75203,x75202,x75201)))+~P105(f844(x75201,f857(x75203,x75202,x75201)))+~P105(f844(x75201,f2(a1)))
% 202.05/201.93 [7541]P145(x75412,x75411,x75413)+E(x75411,f2(a1))+~P105(f844(x75412,f849(x75413,x75411,x75412)))+~P105(f844(x75412,f848(x75413,x75411,x75412)))
% 202.05/201.93 [7542]P146(x75422,x75421,x75423)+E(x75421,f2(a1))+~P105(f844(x75422,f856(x75423,x75421,x75422)))+~P105(f844(x75422,f857(x75423,x75421,x75422)))
% 202.05/201.93 [7629]P145(x76291,x76292,x76293)+~P105(f844(x76291,x76293))+~P105(f844(x76291,f849(x76293,x76292,x76291)))+~P105(f844(x76291,f848(x76293,x76292,x76291)))
% 202.05/201.93 [7646]P146(x76461,x76462,x76463)+~P105(f844(x76461,f856(x76463,x76462,x76461)))+~P105(f844(x76461,f857(x76463,x76462,x76461)))+~P105(f844(x76461,f2(a1)))
% 202.05/201.93 [7690]P145(x76902,x76901,x76903)+E(x76901,f2(a1))+P105(f844(f844(f234(a1),f2(a1)),f849(x76903,x76901,x76902)))+P105(f844(f844(f234(a1),f848(x76903,x76901,x76902)),f2(a1)))
% 202.05/201.93 [7691]P146(x76912,x76911,x76913)+E(x76911,f2(a1))+P105(f844(f844(f234(a1),f2(a1)),f855(x76913,x76911,x76912)))+P105(f844(f844(f234(a1),f854(x76913,x76911,x76912)),f2(a1)))
% 202.05/201.93 [7692]~P88(x76921)+~P105(f844(f844(f234(x76921),x76923),f2(x76921)))+~P105(f844(f844(f234(x76921),x76922),f2(x76921)))+P105(f844(f844(f234(x76921),f844(f844(f79(x76921),x76922),x76923)),f2(x76921)))
% 202.05/201.93 [7693]~P140(x76931)+~P105(f844(f844(f328(x76931),x76933),f109(x76931)))+~P105(f844(f844(f328(x76931),x76932),f109(x76931)))+P105(f844(f844(f328(x76931),f844(f844(f3(x76931),x76932),x76933)),f109(x76931)))
% 202.05/201.93 [7694]~P140(x76941)+~P105(f844(f844(f328(x76941),x76943),f109(x76941)))+~P105(f844(f844(f328(x76941),x76942),f109(x76941)))+P105(f844(f844(f328(x76941),f844(f844(f80(x76941),x76942),x76943)),f109(x76941)))
% 202.05/201.93 [7695]~P143(x76951)+~P105(f844(f844(f328(x76951),x76953),f186(x76951)))+~P105(f844(f844(f328(x76951),x76952),f186(x76951)))+P105(f844(f844(f328(x76951),f844(f844(f80(x76951),x76952),x76953)),f186(x76951)))
% 202.05/201.93 [7696]~P140(x76961)+~P105(f844(f844(f328(x76961),x76963),f109(x76961)))+~P105(f844(f844(f328(x76961),x76962),f109(x76961)))+P105(f844(f844(f328(x76961),f844(f844(f79(x76961),x76962),x76963)),f109(x76961)))
% 202.05/201.93 [7697]~P143(x76971)+~P105(f844(f844(f328(x76971),x76973),f186(x76971)))+~P105(f844(f844(f328(x76971),x76972),f186(x76971)))+P105(f844(f844(f328(x76971),f844(f844(f79(x76971),x76972),x76973)),f186(x76971)))
% 202.05/201.93 [7698]~P88(x76981)+~P105(f844(f844(f234(x76981),x76983),f2(x76981)))+~P105(f844(f844(f235(x76981),x76982),f2(x76981)))+P105(f844(f844(f235(x76981),f844(f844(f79(x76981),x76982),x76983)),f2(x76981)))
% 202.05/201.93 [7699]~P88(x76991)+~P105(f844(f844(f234(x76991),x76992),f2(x76991)))+~P105(f844(f844(f235(x76991),x76993),f2(x76991)))+P105(f844(f844(f235(x76991),f844(f844(f79(x76991),x76992),x76993)),f2(x76991)))
% 202.05/201.93 [7700]~P88(x77001)+~P105(f844(f844(f235(x77001),x77003),f2(x77001)))+~P105(f844(f844(f235(x77001),x77002),f2(x77001)))+P105(f844(f844(f235(x77001),f844(f844(f79(x77001),x77002),x77003)),f2(x77001)))
% 202.05/201.93 [7727]P145(x77273,x77271,x77272)+E(x77271,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x77271),f850(x77272,x77271,x77273))),f849(x77272,x77271,x77273)),x77272)+P105(f844(f844(f235(a1),x77271),f2(a1)))
% 202.05/201.93 [7728]P146(x77283,x77281,x77282)+E(x77281,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x77281),f856(x77282,x77281,x77283))),f855(x77282,x77281,x77283)),x77282)+P105(f844(f844(f235(a1),x77281),f2(a1)))
% 202.05/201.93 [7809]P145(x78091,x78092,x78093)+~P105(f844(x78091,x78093))+P105(f844(f844(f234(a1),f2(a1)),f849(x78093,x78092,x78091)))+P105(f844(f844(f234(a1),f848(x78093,x78092,x78091)),f2(a1)))
% 202.05/201.93 [7838]P146(x78381,x78382,x78383)+P105(f844(f844(f234(a1),f2(a1)),f855(x78383,x78382,x78381)))+~P105(f844(x78381,f2(a1)))+P105(f844(f844(f234(a1),f854(x78383,x78382,x78381)),f2(a1)))
% 202.05/201.93 [7847]P145(x78473,x78471,x78472)+~P105(f844(x78473,x78472))+E(f844(f844(f79(a1),f844(f844(f80(a1),x78471),f850(x78472,x78471,x78473))),f849(x78472,x78471,x78473)),x78472)+P105(f844(f844(f235(a1),x78471),f2(a1)))
% 202.05/201.93 [7853]P145(x78532,x78531,x78533)+E(x78531,f2(a1))+~P105(f844(x78532,f849(x78533,x78531,x78532)))+P105(f844(f844(f234(a1),f848(x78533,x78531,x78532)),f2(a1)))
% 202.05/201.93 [7854]P146(x78542,x78541,x78543)+E(x78541,f2(a1))+~P105(f844(x78542,f856(x78543,x78541,x78542)))+P105(f844(f844(f234(a1),f854(x78543,x78541,x78542)),f2(a1)))
% 202.05/201.93 [7859]P146(x78593,x78591,x78592)+E(f844(f844(f79(a1),f844(f844(f80(a1),x78591),f856(x78592,x78591,x78593))),f855(x78592,x78591,x78593)),x78592)+~P105(f844(x78593,f2(a1)))+P105(f844(f844(f235(a1),x78591),f2(a1)))
% 202.05/201.93 [7915]P145(x79151,x79152,x79153)+~P105(f844(x79151,x79153))+~P105(f844(x79151,f849(x79153,x79152,x79151)))+P105(f844(f844(f234(a1),f848(x79153,x79152,x79151)),f2(a1)))
% 202.05/201.93 [7919]P146(x79191,x79192,x79193)+~P105(f844(x79191,f856(x79193,x79192,x79191)))+~P105(f844(x79191,f2(a1)))+P105(f844(f844(f234(a1),f854(x79193,x79192,x79191)),f2(a1)))
% 202.05/201.93 [7984]~P125(x79841)+~P105(f844(f844(f234(x79841),f844(f844(f80(x79841),x79843),x79842)),f2(x79841)))+P105(f844(f844(f234(x79841),x79842),f2(x79841)))+P105(f844(f844(f234(x79841),x79843),f2(x79841)))
% 202.05/201.93 [7985]~P64(x79851)+~P105(f844(f844(f234(x79851),f844(f844(f290(x79851),x79853),x79852)),f2(x79851)))+P105(f844(f844(f234(x79851),x79852),f2(x79851)))+P105(f844(f844(f234(x79851),x79853),f2(x79851)))
% 202.05/201.93 [7986]~P64(x79861)+~P105(f844(f844(f235(x79861),f844(f844(f290(x79861),x79863),x79862)),f2(x79861)))+P105(f844(f844(f235(x79861),x79862),f2(x79861)))+P105(f844(f844(f235(x79861),x79863),f2(x79861)))
% 202.05/201.93 [8098]P145(x80983,x80981,x80982)+E(x80981,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x80981),f850(x80982,x80981,x80983))),f849(x80982,x80981,x80983)),x80982)+P105(f844(f844(f235(a1),x80981),f848(x80982,x80981,x80983)))
% 202.05/201.93 [8099]P146(x80993,x80991,x80992)+E(x80991,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x80991),f856(x80992,x80991,x80993))),f855(x80992,x80991,x80993)),x80992)+P105(f844(f844(f235(a1),x80991),f854(x80992,x80991,x80993)))
% 202.05/201.93 [8111]P145(x81113,x81111,x81112)+E(x81111,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x81111),f852(x81112,x81111,x81113))),f848(x81112,x81111,x81113)),x81112)+P105(f844(f844(f234(a1),f2(a1)),f849(x81112,x81111,x81113)))
% 202.05/201.93 [8112]P146(x81123,x81121,x81122)+E(x81121,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x81121),f857(x81122,x81121,x81123))),f854(x81122,x81121,x81123)),x81122)+P105(f844(f844(f234(a1),f2(a1)),f855(x81122,x81121,x81123)))
% 202.05/201.93 [8154]P145(x81543,x81541,x81542)+~P105(f844(x81543,x81542))+E(f844(f844(f79(a1),f844(f844(f80(a1),x81541),f850(x81542,x81541,x81543))),f849(x81542,x81541,x81543)),x81542)+P105(f844(f844(f235(a1),x81541),f848(x81542,x81541,x81543)))
% 202.05/201.93 [8163]P146(x81633,x81631,x81632)+E(f844(f844(f79(a1),f844(f844(f80(a1),x81631),f856(x81632,x81631,x81633))),f855(x81632,x81631,x81633)),x81632)+P105(f844(f844(f235(a1),x81631),f854(x81632,x81631,x81633)))+~P105(f844(x81633,f2(a1)))
% 202.05/201.93 [8169]P145(x81693,x81691,x81692)+~P105(f844(x81693,x81692))+E(f844(f844(f79(a1),f844(f844(f80(a1),x81691),f852(x81692,x81691,x81693))),f848(x81692,x81691,x81693)),x81692)+P105(f844(f844(f234(a1),f2(a1)),f849(x81692,x81691,x81693)))
% 202.05/201.93 [8175]P146(x81753,x81751,x81752)+E(f844(f844(f79(a1),f844(f844(f80(a1),x81751),f857(x81752,x81751,x81753))),f854(x81752,x81751,x81753)),x81752)+P105(f844(f844(f234(a1),f2(a1)),f855(x81752,x81751,x81753)))+~P105(f844(x81753,f2(a1)))
% 202.05/201.93 [8186]P145(x81863,x81861,x81862)+E(x81861,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x81861),f850(x81862,x81861,x81863))),f849(x81862,x81861,x81863)),x81862)+~P105(f844(x81863,f848(x81862,x81861,x81863)))
% 202.05/201.93 [8187]P146(x81873,x81871,x81872)+E(x81871,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x81871),f856(x81872,x81871,x81873))),f855(x81872,x81871,x81873)),x81872)+~P105(f844(x81873,f857(x81872,x81871,x81873)))
% 202.05/201.93 [8188]P145(x81883,x81881,x81882)+E(x81881,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x81881),f852(x81882,x81881,x81883))),f848(x81882,x81881,x81883)),x81882)+~P105(f844(x81883,f849(x81882,x81881,x81883)))
% 202.05/201.93 [8189]P146(x81893,x81891,x81892)+E(x81891,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x81891),f857(x81892,x81891,x81893))),f854(x81892,x81891,x81893)),x81892)+~P105(f844(x81893,f856(x81892,x81891,x81893)))
% 202.05/201.93 [8248]P145(x82483,x82481,x82482)+~P105(f844(x82483,x82482))+E(f844(f844(f79(a1),f844(f844(f80(a1),x82481),f850(x82482,x82481,x82483))),f849(x82482,x82481,x82483)),x82482)+~P105(f844(x82483,f848(x82482,x82481,x82483)))
% 202.05/201.93 [8249]P145(x82493,x82491,x82492)+~P105(f844(x82493,x82492))+E(f844(f844(f79(a1),f844(f844(f80(a1),x82491),f852(x82492,x82491,x82493))),f848(x82492,x82491,x82493)),x82492)+~P105(f844(x82493,f849(x82492,x82491,x82493)))
% 202.05/201.93 [8259]P146(x82593,x82591,x82592)+E(f844(f844(f79(a1),f844(f844(f80(a1),x82591),f856(x82592,x82591,x82593))),f855(x82592,x82591,x82593)),x82592)+~P105(f844(x82593,f857(x82592,x82591,x82593)))+~P105(f844(x82593,f2(a1)))
% 202.05/201.93 [8260]P146(x82603,x82601,x82602)+E(f844(f844(f79(a1),f844(f844(f80(a1),x82601),f857(x82602,x82601,x82603))),f854(x82602,x82601,x82603)),x82602)+~P105(f844(x82603,f856(x82602,x82601,x82603)))+~P105(f844(x82603,f2(a1)))
% 202.05/201.93 [8356]P145(x83563,x83561,x83562)+E(x83561,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x83561),f850(x83562,x83561,x83563))),f849(x83562,x83561,x83563)),x83562)+P105(f844(f844(f234(a1),f848(x83562,x83561,x83563)),f2(a1)))
% 202.05/201.93 [8357]P146(x83573,x83571,x83572)+E(x83571,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x83571),f856(x83572,x83571,x83573))),f855(x83572,x83571,x83573)),x83572)+P105(f844(f844(f234(a1),f854(x83572,x83571,x83573)),f2(a1)))
% 202.05/201.93 [8396]P145(x83963,x83961,x83962)+~P105(f844(x83963,x83962))+E(f844(f844(f79(a1),f844(f844(f80(a1),x83961),f850(x83962,x83961,x83963))),f849(x83962,x83961,x83963)),x83962)+P105(f844(f844(f234(a1),f848(x83962,x83961,x83963)),f2(a1)))
% 202.05/201.93 [8401]P146(x84013,x84011,x84012)+E(f844(f844(f79(a1),f844(f844(f80(a1),x84011),f856(x84012,x84011,x84013))),f855(x84012,x84011,x84013)),x84012)+~P105(f844(x84013,f2(a1)))+P105(f844(f844(f234(a1),f854(x84012,x84011,x84013)),f2(a1)))
% 202.05/201.93 [8534]P145(x85343,x85341,x85342)+E(x85341,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x85341),f852(x85342,x85341,x85343))),f848(x85342,x85341,x85343)),x85342)+E(f844(f844(f79(a1),f844(f844(f80(a1),x85341),f850(x85342,x85341,x85343))),f849(x85342,x85341,x85343)),x85342)
% 202.05/201.93 [8535]P146(x85353,x85351,x85352)+E(x85351,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x85351),f857(x85352,x85351,x85353))),f854(x85352,x85351,x85353)),x85352)+E(f844(f844(f79(a1),f844(f844(f80(a1),x85351),f856(x85352,x85351,x85353))),f855(x85352,x85351,x85353)),x85352)
% 202.05/201.93 [8555]P145(x85553,x85551,x85552)+~P105(f844(x85553,x85552))+E(f844(f844(f79(a1),f844(f844(f80(a1),x85551),f852(x85552,x85551,x85553))),f848(x85552,x85551,x85553)),x85552)+E(f844(f844(f79(a1),f844(f844(f80(a1),x85551),f850(x85552,x85551,x85553))),f849(x85552,x85551,x85553)),x85552)
% 202.05/201.93 [8566]P146(x85663,x85661,x85662)+E(f844(f844(f79(a1),f844(f844(f80(a1),x85661),f857(x85662,x85661,x85663))),f854(x85662,x85661,x85663)),x85662)+E(f844(f844(f79(a1),f844(f844(f80(a1),x85661),f856(x85662,x85661,x85663))),f855(x85662,x85661,x85663)),x85662)+~P105(f844(x85663,f2(a1)))
% 202.05/201.93 [9226]~P125(x92261)+~E(x92263,f2(x92261))+~E(x92262,f2(x92261))+P105(f844(f844(f234(x92261),f844(f844(f79(x92261),f844(f844(f80(x92261),x92262),x92262)),f844(f844(f80(x92261),x92263),x92263))),f2(x92261)))
% 202.05/201.93 [10286]~P118(x102861)+~E(x102863,f2(x102861))+~E(x102862,f2(x102861))+P105(f844(f844(f234(x102861),f844(f844(f79(x102861),f844(f844(f243(x102861),x102862),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x102861),x102863),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))),f2(x102861)))
% 202.05/201.93 [4930]~E(x49303,x49301)+~P121(x49302)+E(x49301,f2(x49302))+E(f844(f844(f290(x49302),x49303),x49301),f77(x49302))
% 202.05/201.93 [4983]~P78(x49831)+~E(x49833,f188(x49831))+~E(x49832,f188(x49831))+E(f844(f844(f110(x49831),x49832),x49833),f188(x49831))
% 202.05/201.93 [4984]~P99(x49841)+~E(x49843,f241(x49841))+~E(x49842,f241(x49841))+E(f844(f844(f101(x49841),x49842),x49843),f241(x49841))
% 202.05/201.93 [5081]~P121(x50813)+E(x50811,x50812)+E(x50812,f2(x50813))+~E(f844(f844(f290(x50813),x50811),x50812),f77(x50813))
% 202.05/201.93 [5098]~P139(x50982)+E(x50981,f2(x50982))+E(x50983,f2(x50982))+~E(f844(f844(f80(x50982),x50983),x50981),f2(x50982))
% 202.05/201.93 [5100]~P132(x51002)+E(x51001,f2(x51002))+E(x51003,f2(x51002))+~E(f844(f844(f80(x51002),x51003),x51001),f2(x51002))
% 202.05/201.93 [5481]~P120(x54813)+E(x54811,x54812)+E(x54811,f844(f78(x54813),x54812))+~E(f844(f844(f80(x54813),x54811),x54811),f844(f844(f80(x54813),x54812),x54812))
% 202.05/201.93 [5519]~P95(x55191)+E(f844(f78(x55191),x55192),x55193)+~E(f844(f844(f110(x55191),x55192),x55193),f241(x55191))+~E(f844(f844(f101(x55191),x55192),x55193),f188(x55191))
% 202.05/201.93 [5599]~P118(x55993)+E(x55991,x55992)+P105(f844(f844(f235(x55993),x55992),x55991))+P105(f844(f844(f235(x55993),x55991),x55992))
% 202.05/201.93 [5600]~P108(x56003)+E(x56001,x56002)+P105(f844(f844(f235(x56003),x56002),x56001))+P105(f844(f844(f235(x56003),x56001),x56002))
% 202.05/201.93 [5601]~E(x56012,x56013)+~P108(x56011)+P105(f844(f844(f235(x56011),x56012),x56013))+P105(f844(f844(f234(x56011),x56012),x56013))
% 202.05/201.93 [5862]~P109(x58623)+E(x58621,x58622)+~P105(f844(f844(f234(x58623),x58622),x58621))+P105(f844(f844(f235(x58623),x58622),x58621))
% 202.05/201.93 [5864]~P108(x58643)+E(x58641,x58642)+~P105(f844(f844(f234(x58643),x58641),x58642))+P105(f844(f844(f235(x58643),x58641),x58642))
% 202.05/201.93 [5870]~P109(x58703)+E(x58701,x58702)+~P105(f844(f844(f234(x58703),x58701),x58702))+P105(f844(f844(f235(x58703),x58701),x58702))
% 202.05/201.93 [5984]P145(x59841,x59842,x59843)+~P105(f844(x59841,x59843))+P105(f844(f844(f235(a1),x59842),f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x59842))
% 202.05/201.93 [6034]P146(x60341,x60342,x60343)+~P105(f844(x60341,f2(a1)))+P105(f844(f844(f235(a1),x60342),f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x60342))
% 202.05/201.93 [6039]~P77(x60391)+E(f844(f844(f110(x60391),x60392),f13(x60391,x60393)),x60392)+~P105(f844(f60(x60391),x60393))+~P105(f844(f844(f328(x60391),x60392),x60393))
% 202.05/201.93 [6040]~P77(x60401)+E(f844(f844(f101(x60401),x60402),f12(x60401,x60403)),x60402)+~P105(f844(f60(x60401),x60403))+~P105(f844(f844(f328(x60401),x60402),x60403))
% 202.05/201.93 [6077]~P77(x60771)+E(f844(f844(f110(x60771),x60772),f12(x60771,x60773)),f12(x60771,x60773))+~P105(f844(f60(x60771),x60773))+~P105(f844(f844(f328(x60771),x60772),x60773))
% 202.05/201.93 [6078]~P77(x60781)+E(f844(f844(f101(x60781),x60782),f13(x60781,x60783)),f13(x60781,x60783))+~P105(f844(f60(x60781),x60783))+~P105(f844(f844(f328(x60781),x60782),x60783))
% 202.05/201.93 [6079]~P108(x60791)+E(f844(f844(f232(x60791),x60792),f16(x60791,x60793)),f16(x60791,x60793))+~P105(f844(f60(x60791),x60793))+~P105(f844(f844(f328(x60791),x60792),x60793))
% 202.05/201.93 [6080]~P108(x60801)+E(f844(f844(f233(x60801),x60802),f17(x60801,x60803)),f17(x60801,x60803))+~P105(f844(f60(x60801),x60803))+~P105(f844(f844(f328(x60801),x60802),x60803))
% 202.05/201.93 [6119]E(x61191,x61192)+~P109(x61193)+~P105(f844(f844(f234(x61193),x61192),x61191))+~P105(f844(f844(f234(x61193),x61191),x61192))
% 202.05/201.93 [6263]~P106(x62631)+P105(f844(f844(f235(x62631),x62633),x62632))+~P105(f844(f844(f234(x62631),x62633),x62632))+P105(f844(f844(f234(x62631),x62632),x62633))
% 202.05/201.93 [6291]~P108(x62911)+~P105(f844(f60(x62911),x62913))+P105(f844(f844(f234(x62911),x62912),f17(x62911,x62913)))+~P105(f844(f844(f328(x62911),x62912),x62913))
% 202.05/201.93 [6337]~P108(x63371)+E(f844(f844(f232(x63371),x63372),f15(x63371,f233(x63371),x63373)),x63372)+~P105(f844(f60(x63371),x63373))+~P105(f844(f844(f328(x63371),x63372),x63373))
% 202.05/201.93 [6338]~P108(x63381)+E(f844(f844(f233(x63381),x63382),f14(x63381,f232(x63381),x63383)),x63382)+~P105(f844(f60(x63381),x63383))+~P105(f844(f844(f328(x63381),x63382),x63383))
% 202.05/201.93 [6482]E(x64821,x64822)+~E(f844(f844(f3(a908),x64821),x64823),f844(f844(f3(a908),x64822),x64823))+~P105(f844(f844(f234(a908),x64823),x64821))+~P105(f844(f844(f234(a908),x64823),x64822))
% 202.05/201.93 [6509]~P108(x65091)+~P105(f844(f60(x65091),x65092))+~P105(f844(f844(f328(x65091),x65093),x65092))+P105(f844(f844(f234(x65091),f16(x65091,x65092)),x65093))
% 202.05/201.93 [6572]P145(x65722,x65721,x65723)+E(x65721,f2(a1))+P105(f844(f844(f235(a1),x65721),f848(x65723,x65721,x65722)))+P105(f844(f844(f235(a1),f2(a1)),x65721))
% 202.05/201.93 [6573]P146(x65732,x65731,x65733)+E(x65731,f2(a1))+P105(f844(f844(f235(a1),x65731),f854(x65733,x65731,x65732)))+P105(f844(f844(f235(a1),f2(a1)),x65731))
% 202.05/201.93 [6574]~P108(x65741)+E(f844(f844(f232(x65741),x65742),f14(x65741,f232(x65741),x65743)),f14(x65741,f232(x65741),x65743))+~P105(f844(f60(x65741),x65743))+~P105(f844(f844(f328(x65741),x65742),x65743))
% 202.05/201.93 [6575]~P108(x65751)+E(f844(f844(f233(x65751),x65752),f15(x65751,f233(x65751),x65753)),f15(x65751,f233(x65751),x65753))+~P105(f844(f60(x65751),x65753))+~P105(f844(f844(f328(x65751),x65752),x65753))
% 202.05/201.93 [6580]~P105(f844(x65801,x65802))+P105(f844(x65801,f373(x65802,x65801,x65803)))+P105(f844(x65801,f2(a908)))+~P105(f844(f844(f235(a908),x65802),x65803))
% 202.05/201.93 [6638]~P105(f844(x66381,x66382))+~P105(f844(f60(x66383),x66382))+P105(f844(x66381,f418(x66381,x66382,x66383)))+P105(f844(x66381,f188(f916(x66383,a904))))
% 202.05/201.93 [6651]~P118(x66511)+~P94(x66511)+P105(f844(f844(f234(x66511),f844(f103(x66511),x66512)),f844(f103(x66511),x66513)))+~P105(f844(f844(f234(a1),x66512),x66513))
% 202.05/201.93 [6652]~P118(x66521)+~P94(x66521)+P105(f844(f844(f235(x66521),f844(f103(x66521),x66522)),f844(f103(x66521),x66523)))+~P105(f844(f844(f235(a1),x66522),x66523))
% 202.05/201.93 [6655]~P105(f844(x66551,x66553))+~P105(f844(f60(x66552),x66553))+P105(f844(f60(x66552),f418(x66551,x66553,x66552)))+P105(f844(x66551,f188(f916(x66552,a904))))
% 202.05/201.93 [6689]P145(x66891,x66892,x66893)+~P105(f844(x66891,x66893))+P105(f844(f844(f235(a1),x66892),f848(x66893,x66892,x66891)))+P105(f844(f844(f235(a1),f2(a1)),x66892))
% 202.05/201.93 [6727]P146(x67271,x67272,x67273)+P105(f844(f844(f235(a1),x67272),f854(x67273,x67272,x67271)))+~P105(f844(x67271,f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x67272))
% 202.05/201.93 [6757]~P107(x67571)+~P93(x67571)+E(f844(f844(f232(x67571),f844(f103(x67571),x67572)),f844(f103(x67571),x67573)),f844(f103(x67571),x67573))+P105(f844(f844(f234(x67571),f844(f103(x67571),x67572)),f844(f103(x67571),x67573)))
% 202.05/201.93 [6758]~P107(x67581)+~P93(x67581)+E(f844(f844(f233(x67581),f844(f103(x67581),x67582)),f844(f103(x67581),x67583)),f844(f103(x67581),x67582))+P105(f844(f844(f234(x67581),f844(f103(x67581),x67582)),f844(f103(x67581),x67583)))
% 202.05/201.93 [6819]P145(x68192,x68191,x68193)+E(x68191,f2(a1))+~P105(f844(x68192,f848(x68193,x68191,x68192)))+P105(f844(f844(f235(a1),f2(a1)),x68191))
% 202.05/201.93 [6820]P146(x68202,x68201,x68203)+E(x68201,f2(a1))+~P105(f844(x68202,f857(x68203,x68201,x68202)))+P105(f844(f844(f235(a1),f2(a1)),x68201))
% 202.05/201.93 [6824]P105(f844(x68241,x68242))+~P105(f844(f60(x68243),x68242))+P105(f844(x68241,f889(x68241,x68242,x68243)))+~P105(f844(x68241,f188(f916(x68243,a904))))
% 202.05/201.93 [6841]~P93(x68411)+~P59(x68411)+~E(f44(x68411,f844(f103(x68411),x68413),f844(f103(x68411),x68412)),f2(x68411))+P105(f844(f844(f286(x68411),f844(f103(x68411),x68412)),f844(f103(x68411),x68413)))
% 202.05/201.93 [6845]P105(f844(x68451,x68452))+P105(f844(f60(x68453),f889(x68451,x68452,x68453)))+~P105(f844(f60(x68453),x68452))+~P105(f844(x68451,f188(f916(x68453,a904))))
% 202.05/201.93 [6910]P145(x69101,x69102,x69103)+~P105(f844(x69101,x69103))+~P105(f844(x69101,f848(x69103,x69102,x69101)))+P105(f844(f844(f235(a1),f2(a1)),x69102))
% 202.05/201.93 [6940]P146(x69401,x69402,x69403)+~P105(f844(x69401,f857(x69403,x69402,x69401)))+~P105(f844(x69401,f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x69402))
% 202.05/201.93 [7045]~P94(x70453)+~P118(x70453)+~P105(f844(f844(f234(x70453),f844(f103(x70453),x70451)),f844(f103(x70453),x70452)))+P105(f844(f844(f234(a1),x70451),x70452))
% 202.05/201.93 [7046]~P94(x70463)+~P118(x70463)+~P105(f844(f844(f235(x70463),f844(f103(x70463),x70461)),f844(f103(x70463),x70462)))+P105(f844(f844(f235(a1),x70461),x70462))
% 202.05/201.93 [7073]~P108(x70731)+~P12(x70731,x70733)+P12(x70731,f844(f844(f151(x70731),x70732),x70733))+~P105(f844(f844(f234(x70731),x70732),f701(x70733,x70732,x70731)))
% 202.05/201.93 [7074]~P108(x70741)+~P12(x70741,x70743)+P12(x70741,f844(f844(f151(x70741),x70742),x70743))+~P105(f844(f844(f234(x70741),x70742),f702(x70743,x70742,x70741)))
% 202.05/201.93 [7075]~P108(x70751)+~P12(x70751,x70753)+P12(x70751,f844(f844(f151(x70751),x70752),x70753))+~P105(f844(f844(f234(x70751),x70752),f740(x70752,x70753,x70751)))
% 202.05/201.93 [7149]~P93(x71491)+~P59(x71491)+E(f44(x71491,f844(f103(x71491),x71492),f844(f103(x71491),x71493)),f2(x71491))+~P105(f844(f844(f286(x71491),f844(f103(x71491),x71493)),f844(f103(x71491),x71492)))
% 202.05/201.93 [7163]P145(x71632,x71631,x71633)+E(x71631,f2(a1))+P105(f844(f844(f235(a1),x71631),f2(a1)))+P105(f844(f844(f235(a1),f849(x71633,x71631,x71632)),x71631))
% 202.05/201.93 [7164]P146(x71642,x71641,x71643)+E(x71641,f2(a1))+P105(f844(f844(f235(a1),x71641),f2(a1)))+P105(f844(f844(f235(a1),f855(x71643,x71641,x71642)),x71641))
% 202.05/201.93 [7200]P145(x72002,x72001,x72003)+E(x72001,f2(a1))+P105(f844(f844(f234(a1),f848(x72003,x72001,x72002)),f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x72001))
% 202.05/201.93 [7201]P146(x72012,x72011,x72013)+E(x72011,f2(a1))+P105(f844(f844(f234(a1),f854(x72013,x72011,x72012)),f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x72011))
% 202.05/201.93 [7226]~P108(x72261)+~P12(x72261,x72263)+E(f844(f844(f148(x72261,x72261,f7(x72261)),x72262),f170(x72261,x72262,x72263)),x72263)+~P105(f844(f844(f328(x72261),x72262),f844(f172(x72261),x72263)))
% 202.05/201.93 [7273]P145(x72731,x72732,x72733)+~P105(f844(x72731,x72733))+P105(f844(f844(f235(a1),x72732),f2(a1)))+P105(f844(f844(f235(a1),f849(x72733,x72732,x72731)),x72732))
% 202.05/201.93 [7279]~P107(x72791)+~P93(x72791)+E(f844(f844(f232(x72791),f844(f103(x72791),x72792)),f844(f103(x72791),x72793)),f844(f103(x72791),x72792))+~P105(f844(f844(f234(x72791),f844(f103(x72791),x72792)),f844(f103(x72791),x72793)))
% 202.05/201.93 [7280]~P107(x72801)+~P93(x72801)+E(f844(f844(f233(x72801),f844(f103(x72801),x72802)),f844(f103(x72801),x72803)),f844(f103(x72801),x72803))+~P105(f844(f844(f234(x72801),f844(f103(x72801),x72802)),f844(f103(x72801),x72803)))
% 202.05/201.93 [7294]P146(x72941,x72942,x72943)+~P105(f844(x72941,f2(a1)))+P105(f844(f844(f235(a1),x72942),f2(a1)))+P105(f844(f844(f235(a1),f855(x72943,x72942,x72941)),x72942))
% 202.05/201.93 [7302]P145(x73021,x73022,x73023)+~P105(f844(x73021,x73023))+P105(f844(f844(f234(a1),f848(x73023,x73022,x73021)),f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x73022))
% 202.05/201.93 [7326]P146(x73261,x73262,x73263)+~P105(f844(x73261,f2(a1)))+P105(f844(f844(f234(a1),f854(x73263,x73262,x73261)),f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x73262))
% 202.05/201.93 [7353]~P105(f844(x73531,x73532))+P105(f844(x73531,f2(a908)))+~P105(f844(f844(f235(a908),x73532),x73533))+P105(f844(f844(f235(a908),f373(x73532,x73531,x73533)),x73533))
% 202.05/201.93 [7370]~P108(x73701)+~P12(x73701,x73703)+P12(x73701,f844(f844(f151(x73701),x73702),x73703))+P105(f844(f844(f328(x73701),f701(x73703,x73702,x73701)),f844(f172(x73701),x73703)))
% 202.05/201.93 [7371]~P108(x73711)+~P12(x73711,x73713)+P12(x73711,f844(f844(f151(x73711),x73712),x73713))+P105(f844(f844(f328(x73711),f702(x73713,x73712,x73711)),f844(f172(x73711),x73713)))
% 202.05/201.93 [7372]~P108(x73721)+~P12(x73721,x73723)+P12(x73721,f844(f844(f151(x73721),x73722),x73723))+P105(f844(f844(f328(x73721),f740(x73722,x73723,x73721)),f844(f172(x73721),x73723)))
% 202.05/201.93 [7489]~P108(x74891)+~P4(x74891)+~P105(f844(f844(f235(x74891),x74893),f36(x74891,x74892)))+P105(f844(f844(f328(x74891),f685(x74892,x74893,x74891)),x74892))
% 202.05/201.93 [7644]~P108(x76441)+~P4(x76441)+~P105(f844(f844(f235(x76441),f37(x76441,x76443)),x76442))+P105(f844(f844(f328(x76441),f378(x76442,x76443,x76441)),x76443))
% 202.05/201.93 [7645]~P108(x76451)+~P4(x76451)+~P105(f844(f844(f235(x76451),f37(x76451,x76453)),x76452))+P105(f844(f844(f235(x76451),f378(x76452,x76453,x76451)),x76452))
% 202.05/201.93 [7657]P145(x76572,x76571,x76573)+E(x76571,f2(a1))+P105(f844(f844(f235(a1),x76571),f848(x76573,x76571,x76572)))+P105(f844(f844(f235(a1),f849(x76573,x76571,x76572)),x76571))
% 202.05/201.93 [7658]P146(x76582,x76581,x76583)+E(x76581,f2(a1))+P105(f844(f844(f235(a1),x76581),f854(x76583,x76581,x76582)))+P105(f844(f844(f235(a1),f855(x76583,x76581,x76582)),x76581))
% 202.05/201.93 [7748]P145(x77483,x77481,x77482)+E(x77481,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x77481),f852(x77482,x77481,x77483))),f848(x77482,x77481,x77483)),x77482)+P105(f844(f844(f235(a1),f2(a1)),x77481))
% 202.05/201.93 [7749]P146(x77493,x77491,x77492)+E(x77491,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x77491),f857(x77492,x77491,x77493))),f854(x77492,x77491,x77493)),x77492)+P105(f844(f844(f235(a1),f2(a1)),x77491))
% 202.05/201.93 [7752]~P133(x77521)+~P105(f844(f844(f234(x77521),x77523),f2(x77521)))+P105(f844(f844(f234(x77521),f844(f844(f80(x77521),x77522),x77523)),f2(x77521)))+~P105(f844(f844(f234(x77521),f2(x77521)),x77522))
% 202.05/201.93 [7754]~P133(x77541)+~P105(f844(f844(f234(x77541),x77542),f2(x77541)))+P105(f844(f844(f234(x77541),f844(f844(f80(x77541),x77542),x77543)),f2(x77541)))+~P105(f844(f844(f234(x77541),f2(x77541)),x77543))
% 202.05/201.93 [7755]~P125(x77551)+~P105(f844(f844(f234(x77551),x77553),f2(x77551)))+P105(f844(f844(f234(x77551),f844(f844(f80(x77551),x77552),x77553)),f2(x77551)))+~P105(f844(f844(f234(x77551),f2(x77551)),x77552))
% 202.05/201.93 [7756]~P125(x77561)+~P105(f844(f844(f234(x77561),x77562),f2(x77561)))+P105(f844(f844(f234(x77561),f844(f844(f80(x77561),x77562),x77563)),f2(x77561)))+~P105(f844(f844(f234(x77561),f2(x77561)),x77563))
% 202.05/201.93 [7757]~P64(x77571)+~P105(f844(f844(f234(x77571),x77573),f2(x77571)))+P105(f844(f844(f234(x77571),f844(f844(f290(x77571),x77572),x77573)),f2(x77571)))+~P105(f844(f844(f234(x77571),f2(x77571)),x77572))
% 202.05/201.93 [7758]~P64(x77581)+~P105(f844(f844(f234(x77581),x77582),f2(x77581)))+P105(f844(f844(f234(x77581),f844(f844(f290(x77581),x77582),x77583)),f2(x77581)))+~P105(f844(f844(f234(x77581),f2(x77581)),x77583))
% 202.05/201.93 [7759]~P65(x77591)+~P105(f844(f844(f234(x77591),x77592),f2(x77591)))+P105(f844(f844(f234(x77591),f844(f844(f290(x77591),x77592),x77593)),f2(x77591)))+~P105(f844(f844(f235(x77591),f2(x77591)),x77593))
% 202.05/201.93 [7760]~P65(x77601)+~P105(f844(f844(f235(x77601),x77603),f2(x77601)))+P105(f844(f844(f234(x77601),f844(f844(f290(x77601),x77602),x77603)),f2(x77601)))+~P105(f844(f844(f234(x77601),f2(x77601)),x77602))
% 202.05/201.93 [7762]~P131(x77621)+~P105(f844(f844(f235(x77621),x77623),f2(x77621)))+P105(f844(f844(f235(x77621),f844(f844(f80(x77621),x77622),x77623)),f2(x77621)))+~P105(f844(f844(f235(x77621),f2(x77621)),x77622))
% 202.05/201.93 [7763]~P131(x77631)+~P105(f844(f844(f235(x77631),x77632),f2(x77631)))+P105(f844(f844(f235(x77631),f844(f844(f80(x77631),x77632),x77633)),f2(x77631)))+~P105(f844(f844(f235(x77631),f2(x77631)),x77633))
% 202.05/201.93 [7764]~P64(x77641)+~P105(f844(f844(f235(x77641),x77643),f2(x77641)))+P105(f844(f844(f235(x77641),f844(f844(f290(x77641),x77642),x77643)),f2(x77641)))+~P105(f844(f844(f235(x77641),f2(x77641)),x77642))
% 202.05/201.93 [7765]~P64(x77651)+~P105(f844(f844(f235(x77651),x77652),f2(x77651)))+P105(f844(f844(f235(x77651),f844(f844(f290(x77651),x77652),x77653)),f2(x77651)))+~P105(f844(f844(f235(x77651),f2(x77651)),x77653))
% 202.05/201.93 [7766]~P65(x77661)+~P105(f844(f844(f235(x77661),x77663),f2(x77661)))+P105(f844(f844(f235(x77661),f844(f844(f290(x77661),x77662),x77663)),f2(x77661)))+~P105(f844(f844(f235(x77661),f2(x77661)),x77662))
% 202.05/201.93 [7767]~P65(x77671)+~P105(f844(f844(f235(x77671),x77672),f2(x77671)))+P105(f844(f844(f235(x77671),f844(f844(f290(x77671),x77672),x77673)),f2(x77671)))+~P105(f844(f844(f235(x77671),f2(x77671)),x77673))
% 202.05/201.93 [7782]P145(x77821,x77822,x77823)+~P105(f844(x77821,x77823))+P105(f844(f844(f235(a1),x77822),f848(x77823,x77822,x77821)))+P105(f844(f844(f235(a1),f849(x77823,x77822,x77821)),x77822))
% 202.05/201.93 [7795]P146(x77951,x77952,x77953)+P105(f844(f844(f235(a1),x77952),f854(x77953,x77952,x77951)))+~P105(f844(x77951,f2(a1)))+P105(f844(f844(f235(a1),f855(x77953,x77952,x77951)),x77952))
% 202.05/201.93 [7845]P145(x78452,x78451,x78453)+E(x78451,f2(a1))+~P105(f844(x78452,f848(x78453,x78451,x78452)))+P105(f844(f844(f235(a1),f849(x78453,x78451,x78452)),x78451))
% 202.05/201.93 [7846]P146(x78462,x78461,x78463)+E(x78461,f2(a1))+~P105(f844(x78462,f857(x78463,x78461,x78462)))+P105(f844(f844(f235(a1),f855(x78463,x78461,x78462)),x78461))
% 202.05/201.93 [7856]P145(x78563,x78561,x78562)+~P105(f844(x78563,x78562))+E(f844(f844(f79(a1),f844(f844(f80(a1),x78561),f852(x78562,x78561,x78563))),f848(x78562,x78561,x78563)),x78562)+P105(f844(f844(f235(a1),f2(a1)),x78561))
% 202.05/201.93 [7871]P146(x78713,x78711,x78712)+E(f844(f844(f79(a1),f844(f844(f80(a1),x78711),f857(x78712,x78711,x78713))),f854(x78712,x78711,x78713)),x78712)+~P105(f844(x78713,f2(a1)))+P105(f844(f844(f235(a1),f2(a1)),x78711))
% 202.05/201.93 [7899]~P105(f844(x78991,x78993))+~P105(f844(f60(x78992),x78993))+P105(f844(f844(f328(x78992),f419(x78991,x78993,x78992)),f418(x78991,x78993,x78992)))+P105(f844(x78991,f188(f916(x78992,a904))))
% 202.05/201.93 [7910]P145(x79101,x79102,x79103)+~P105(f844(x79101,x79103))+~P105(f844(x79101,f848(x79103,x79102,x79101)))+P105(f844(f844(f235(a1),f849(x79103,x79102,x79101)),x79102))
% 202.05/201.93 [7916]P146(x79161,x79162,x79163)+~P105(f844(x79161,f857(x79163,x79162,x79161)))+~P105(f844(x79161,f2(a1)))+P105(f844(f844(f235(a1),f855(x79163,x79162,x79161)),x79162))
% 202.05/201.93 [8015]~P125(x80151)+~P105(f844(f844(f234(x80151),f844(f844(f80(x80151),x80153),x80152)),f2(x80151)))+P105(f844(f844(f234(x80151),x80152),f2(x80151)))+P105(f844(f844(f234(x80151),f2(x80151)),x80152))
% 202.05/201.93 [8016]~P125(x80161)+~P105(f844(f844(f234(x80161),f844(f844(f80(x80161),x80162),x80163)),f2(x80161)))+P105(f844(f844(f234(x80161),x80162),f2(x80161)))+P105(f844(f844(f234(x80161),f2(x80161)),x80162))
% 202.05/201.93 [8017]~P64(x80171)+~P105(f844(f844(f234(x80171),f844(f844(f290(x80171),x80173),x80172)),f2(x80171)))+P105(f844(f844(f234(x80171),x80172),f2(x80171)))+P105(f844(f844(f234(x80171),f2(x80171)),x80172))
% 202.05/201.93 [8018]~P64(x80181)+~P105(f844(f844(f234(x80181),f844(f844(f290(x80181),x80182),x80183)),f2(x80181)))+P105(f844(f844(f234(x80181),x80182),f2(x80181)))+P105(f844(f844(f234(x80181),f2(x80181)),x80182))
% 202.05/201.93 [8019]~P64(x80191)+~P105(f844(f844(f235(x80191),f844(f844(f290(x80191),x80193),x80192)),f2(x80191)))+P105(f844(f844(f235(x80191),x80192),f2(x80191)))+P105(f844(f844(f235(x80191),f2(x80191)),x80192))
% 202.05/201.93 [8020]~P64(x80201)+~P105(f844(f844(f235(x80201),f844(f844(f290(x80201),x80202),x80203)),f2(x80201)))+P105(f844(f844(f235(x80201),x80202),f2(x80201)))+P105(f844(f844(f235(x80201),f2(x80201)),x80202))
% 202.05/201.93 [8043]~P125(x80431)+~P105(f844(f844(f234(x80431),f844(f844(f80(x80431),x80432),x80433)),f2(x80431)))+P105(f844(f844(f234(x80431),f2(x80431)),x80432))+P105(f844(f844(f234(x80431),f2(x80431)),x80433))
% 202.05/201.93 [8044]~P64(x80441)+~P105(f844(f844(f234(x80441),f844(f844(f290(x80441),x80442),x80443)),f2(x80441)))+P105(f844(f844(f234(x80441),f2(x80441)),x80442))+P105(f844(f844(f234(x80441),f2(x80441)),x80443))
% 202.05/201.93 [8045]~P64(x80451)+~P105(f844(f844(f235(x80451),f844(f844(f290(x80451),x80452),x80453)),f2(x80451)))+P105(f844(f844(f235(x80451),f2(x80451)),x80452))+P105(f844(f844(f235(x80451),f2(x80451)),x80453))
% 202.05/201.93 [8067]P145(x80672,x80671,x80673)+E(x80671,f2(a1))+P105(f844(f844(f234(a1),f848(x80673,x80671,x80672)),f2(a1)))+P105(f844(f844(f235(a1),f849(x80673,x80671,x80672)),x80671))
% 202.05/201.93 [8068]P146(x80682,x80681,x80683)+E(x80681,f2(a1))+P105(f844(f844(f234(a1),f854(x80683,x80681,x80682)),f2(a1)))+P105(f844(f844(f235(a1),f855(x80683,x80681,x80682)),x80681))
% 202.05/201.93 [8075]~P124(x80751)+~P105(f844(f844(f235(x80751),x80752),f77(x80751)))+P105(f844(f844(f235(x80751),f844(f844(f243(x80751),x80752),f844(a112,x80753))),f77(x80751)))+~P105(f844(f844(f235(x80751),f2(x80751)),x80752))
% 202.05/201.93 [8128]~P108(x81281)+~E(x81283,f113(x81281))+~P12(x81281,f844(f168(x81281),x81283))+E(f844(f142(x81281,x81281,f844(f9(x81281,x81281,x81281),f233(x81281)),x81282),f844(f168(x81281),x81283)),x81282)
% 202.05/201.93 [8131]P145(x81311,x81312,x81313)+~P105(f844(x81311,x81313))+P105(f844(f844(f234(a1),f848(x81313,x81312,x81311)),f2(a1)))+P105(f844(f844(f235(a1),f849(x81313,x81312,x81311)),x81312))
% 202.05/201.93 [8138]P146(x81381,x81382,x81383)+~P105(f844(x81381,f2(a1)))+P105(f844(f844(f234(a1),f854(x81383,x81382,x81381)),f2(a1)))+P105(f844(f844(f235(a1),f855(x81383,x81382,x81381)),x81382))
% 202.05/201.93 [8351]P145(x83513,x83511,x83512)+E(x83511,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x83511),f852(x83512,x83511,x83513))),f848(x83512,x83511,x83513)),x83512)+P105(f844(f844(f235(a1),f849(x83512,x83511,x83513)),x83511))
% 202.05/201.93 [8352]P146(x83523,x83521,x83522)+E(x83521,f2(a1))+E(f844(f844(f79(a1),f844(f844(f80(a1),x83521),f857(x83522,x83521,x83523))),f854(x83522,x83521,x83523)),x83522)+P105(f844(f844(f235(a1),f855(x83522,x83521,x83523)),x83521))
% 202.05/201.93 [8387]P145(x83873,x83871,x83872)+~P105(f844(x83873,x83872))+E(f844(f844(f79(a1),f844(f844(f80(a1),x83871),f852(x83872,x83871,x83873))),f848(x83872,x83871,x83873)),x83872)+P105(f844(f844(f235(a1),f849(x83872,x83871,x83873)),x83871))
% 202.05/201.93 [8388]~P69(x83881)+~P74(x83881)+~P39(x83883)+E(f844(f844(f8(a908,x83881),f844(f844(f10(a1,x83881,a908),x83882),f100(a1))),f844(f309(a1,a908,a104),x83883)),f844(f844(f8(a1,x83881),x83882),x83883))
% 202.05/201.93 [8389]~P69(x83891)+~P74(x83891)+~P39(x83893)+E(f844(f844(f11(a908,x83891),f844(f844(f10(a1,x83891,a908),x83892),f100(a1))),f844(f309(a1,a908,a104),x83893)),f844(f844(f11(a1,x83891),x83892),x83893))
% 202.05/201.93 [8398]P146(x83983,x83981,x83982)+E(f844(f844(f79(a1),f844(f844(f80(a1),x83981),f857(x83982,x83981,x83983))),f854(x83982,x83981,x83983)),x83982)+~P105(f844(x83983,f2(a1)))+P105(f844(f844(f235(a1),f855(x83982,x83981,x83983)),x83981))
% 202.05/201.93 [8420]~E(x84202,f2(a908))+~E(f844(f250(a908,a908),x84203),f2(a908))+~E(x84201,f844(f844(f79(a908),f844(f844(f80(a908),f844(f250(a908,a908),x84203)),x84202)),f844(f255(a908,a908),x84203)))+P105(f844(f47(x84201,x84202),x84203))
% 202.05/201.93 [8476]P105(f844(x84761,x84762))+~P105(f844(f844(f328(x84763),f892(x84761,x84762,x84763)),f889(x84761,x84762,x84763)))+~P105(f844(f60(x84763),x84762))+~P105(f844(x84761,f188(f916(x84763,a904))))
% 202.05/201.93 [9098]P105(f844(x90981,x90982))+~P105(f844(f60(x90983),x90982))+~P105(f844(x90981,f844(f844(f308(x90983),f892(x90981,x90982,x90983)),f889(x90981,x90982,x90983))))+~P105(f844(x90981,f188(f916(x90983,a904))))
% 202.05/201.93 [9328]P105(f844(f844(f234(a1),x93281),f2(a1)))+~P105(f844(f844(f235(a1),f844(f844(f79(a1),f844(f844(f80(a1),x93283),x93281)),x93282)),f2(a1)))+~P105(f844(f844(f234(a1),f2(a1)),x93282))+~P105(f844(f844(f235(a1),f2(a1)),x93283))
% 202.05/201.93 [5932]~P77(x59322)+E(x59321,f188(f916(x59322,a904)))+~P105(f844(f60(x59322),x59321))+E(f12(x59322,f844(f844(f308(x59322),x59323),x59321)),f844(f844(f110(x59322),x59323),f12(x59322,x59321)))
% 202.05/201.93 [5933]~P77(x59332)+E(x59331,f188(f916(x59332,a904)))+~P105(f844(f60(x59332),x59331))+E(f13(x59332,f844(f844(f308(x59332),x59333),x59331)),f844(f844(f101(x59332),x59333),f13(x59332,x59331)))
% 202.05/201.93 [5934]~P108(x59342)+E(x59341,f188(f916(x59342,a904)))+~P105(f844(f60(x59342),x59341))+E(f16(x59342,f844(f844(f308(x59342),x59343),x59341)),f844(f844(f232(x59342),x59343),f16(x59342,x59341)))
% 202.05/201.93 [5935]~P108(x59352)+E(x59351,f188(f916(x59352,a904)))+~P105(f844(f60(x59352),x59351))+E(f17(x59352,f844(f844(f308(x59352),x59353),x59351)),f844(f844(f233(x59352),x59353),f17(x59352,x59351)))
% 202.05/201.93 [6259]~P125(x62591)+~E(x62593,f2(x62591))+~E(x62592,f2(x62591))+E(f844(f844(f79(x62591),f844(f844(f80(x62591),x62592),x62592)),f844(f844(f80(x62591),x62593),x62593)),f2(x62591))
% 202.05/201.93 [6330]~P96(x63302)+E(x63301,f188(f916(x63302,a904)))+~P105(f844(f60(x63302),x63301))+E(f844(f62(x63302,f80(x63302)),f844(f844(f308(x63302),x63303),x63301)),f844(f844(f80(x63302),x63303),f844(f62(x63302,f80(x63302)),x63301)))
% 202.05/201.93 [6458]~P108(x64582)+E(x64581,f188(f916(x64582,a904)))+~P105(f844(f60(x64582),x64581))+E(f14(x64582,f232(x64582),f844(f844(f308(x64582),x64583),x64581)),f844(f844(f232(x64582),x64583),f14(x64582,f232(x64582),x64581)))
% 202.05/201.93 [6459]~P108(x64592)+E(x64591,f188(f916(x64592,a904)))+~P105(f844(f60(x64592),x64591))+E(f15(x64592,f233(x64592),f844(f844(f308(x64592),x64593),x64591)),f844(f844(f233(x64592),x64593),f15(x64592,f233(x64592),x64591)))
% 202.05/201.93 [6974]~P67(x69741)+~P105(f844(f60(x69741),x69743))+E(f844(f62(x69741,f80(x69741)),f844(f844(f308(x69741),x69742),x69743)),f844(f844(f63(x69741,x69741,f80(x69741)),x69742),x69743))+P105(f844(f844(f328(x69741),x69742),x69743))
% 202.05/201.93 [7052]~E(f844(f844(f79(a1),x70522),f844(f844(f80(a1),x70523),x70521)),x70523)+~P105(f844(f844(f235(a1),f2(a1)),x70523))+P105(f844(f844(f234(a1),f77(a1)),x70521))+~P105(f844(f844(f235(a1),x70522),x70523))
% 202.05/201.93 [7080]~E(f844(f844(f79(a1),x70802),f844(f844(f80(a1),x70803),x70801)),x70803)+P105(f844(f844(f234(a1),x70801),f77(a1)))+~P105(f844(f844(f234(a1),f2(a1)),x70802))+~P105(f844(f844(f235(a1),f2(a1)),x70803))
% 202.05/201.93 [7098]E(x70981,f2(a908))+~P105(f844(f47(x70983,x70981),x70982))+~P105(f844(f844(f235(a908),f2(a908)),x70981))+P105(f844(f844(f235(a908),f844(f255(a908,a908),x70982)),x70981))
% 202.05/201.93 [7130]~P136(x71301)+~P105(f844(f844(f234(x71301),x71302),f2(x71301)))+~P105(f844(f844(f234(x71301),x71303),f2(x71301)))+E(f844(f844(f80(x71301),f844(f75(x71301),x71302)),f844(f75(x71301),x71303)),f844(f75(x71301),f844(f844(f80(x71301),x71302),x71303)))
% 202.05/201.93 [7177]~P136(x71771)+~P105(f844(f844(f234(x71771),x71772),f2(x71771)))+E(f844(f844(f80(x71771),f844(f75(x71771),x71772)),f844(f75(x71771),x71773)),f844(f75(x71771),f844(f844(f80(x71771),x71772),x71773)))+~P105(f844(f844(f234(x71771),f2(x71771)),x71773))
% 202.05/201.93 [7178]~P136(x71781)+~P105(f844(f844(f234(x71781),x71783),f2(x71781)))+E(f844(f844(f80(x71781),f844(f75(x71781),x71782)),f844(f75(x71781),x71783)),f844(f75(x71781),f844(f844(f80(x71781),x71782),x71783)))+~P105(f844(f844(f234(x71781),f2(x71781)),x71782))
% 202.05/201.93 [7234]~P136(x72341)+E(f844(f844(f80(x72341),f844(f75(x72341),x72342)),f844(f75(x72341),x72343)),f844(f75(x72341),f844(f844(f80(x72341),x72342),x72343)))+~P105(f844(f844(f234(x72341),f2(x72341)),x72342))+~P105(f844(f844(f234(x72341),f2(x72341)),x72343))
% 202.05/201.93 [7251]~P111(x72511)+~P105(f844(f844(f234(x72511),x72513),f2(x72511)))+~P105(f844(f844(f234(x72511),x72512),f2(x72511)))+P105(f844(f844(f234(x72511),f2(x72511)),f844(f844(f80(x72511),x72512),x72513)))
% 202.05/201.93 [7252]~P125(x72521)+~P105(f844(f844(f234(x72521),x72523),f2(x72521)))+~P105(f844(f844(f234(x72521),x72522),f2(x72521)))+P105(f844(f844(f234(x72521),f2(x72521)),f844(f844(f80(x72521),x72522),x72523)))
% 202.05/201.93 [7253]~P64(x72531)+~P105(f844(f844(f234(x72531),x72533),f2(x72531)))+~P105(f844(f844(f234(x72531),x72532),f2(x72531)))+P105(f844(f844(f234(x72531),f2(x72531)),f844(f844(f290(x72531),x72532),x72533)))
% 202.05/201.93 [7254]~P65(x72541)+~P105(f844(f844(f235(x72541),x72543),f2(x72541)))+~P105(f844(f844(f234(x72541),x72542),f2(x72541)))+P105(f844(f844(f234(x72541),f2(x72541)),f844(f844(f290(x72541),x72542),x72543)))
% 202.05/201.93 [7255]~P125(x72551)+~P105(f844(f844(f235(x72551),x72553),f2(x72551)))+~P105(f844(f844(f235(x72551),x72552),f2(x72551)))+P105(f844(f844(f235(x72551),f2(x72551)),f844(f844(f80(x72551),x72552),x72553)))
% 202.05/201.93 [7256]~P64(x72561)+~P105(f844(f844(f235(x72561),x72563),f2(x72561)))+~P105(f844(f844(f235(x72561),x72562),f2(x72561)))+P105(f844(f844(f235(x72561),f2(x72561)),f844(f844(f290(x72561),x72562),x72563)))
% 202.05/201.93 [7257]~P65(x72571)+~P105(f844(f844(f235(x72571),x72573),f2(x72571)))+~P105(f844(f844(f235(x72571),x72572),f2(x72571)))+P105(f844(f844(f235(x72571),f2(x72571)),f844(f844(f290(x72571),x72572),x72573)))
% 202.05/201.93 [7258]~P124(x72581)+~P105(f844(f844(f235(a908),f2(a908)),x72583))+~P105(f844(f844(f235(x72581),f77(x72581)),x72582))+P105(f844(f844(f235(x72581),f77(x72581)),f844(f844(f243(x72581),x72582),x72583)))
% 202.05/201.93 [7354]~P111(x73541)+~P105(f844(f844(f234(x73541),f2(x73541)),x73543))+~P105(f844(f844(f234(x73541),f2(x73541)),x73542))+P105(f844(f844(f234(x73541),f2(x73541)),f844(f844(f80(x73541),x73542),x73543)))
% 202.05/201.93 [7355]~P133(x73551)+~P105(f844(f844(f234(x73551),f2(x73551)),x73553))+~P105(f844(f844(f234(x73551),f2(x73551)),x73552))+P105(f844(f844(f234(x73551),f2(x73551)),f844(f844(f80(x73551),x73552),x73553)))
% 202.05/201.93 [7356]~P125(x73561)+~P105(f844(f844(f234(x73561),f2(x73561)),x73563))+~P105(f844(f844(f234(x73561),f2(x73561)),x73562))+P105(f844(f844(f234(x73561),f2(x73561)),f844(f844(f80(x73561),x73562),x73563)))
% 202.05/201.93 [7358]~P64(x73581)+~P105(f844(f844(f234(x73581),f2(x73581)),x73583))+~P105(f844(f844(f234(x73581),f2(x73581)),x73582))+P105(f844(f844(f234(x73581),f2(x73581)),f844(f844(f290(x73581),x73582),x73583)))
% 202.05/201.93 [7359]~P65(x73591)+~P105(f844(f844(f235(x73591),f2(x73591)),x73593))+~P105(f844(f844(f234(x73591),f2(x73591)),x73592))+P105(f844(f844(f234(x73591),f2(x73591)),f844(f844(f290(x73591),x73592),x73593)))
% 202.05/201.93 [7360]~P124(x73601)+~P105(f844(f844(f235(x73601),f77(x73601)),x73603))+~P105(f844(f844(f235(x73601),f77(x73601)),x73602))+P105(f844(f844(f235(x73601),f77(x73601)),f844(f844(f80(x73601),x73602),x73603)))
% 202.05/201.93 [7361]~P131(x73611)+~P105(f844(f844(f235(x73611),f2(x73611)),x73613))+~P105(f844(f844(f235(x73611),f2(x73611)),x73612))+P105(f844(f844(f235(x73611),f2(x73611)),f844(f844(f80(x73611),x73612),x73613)))
% 202.05/201.93 [7364]~P88(x73641)+~P105(f844(f844(f235(x73641),f2(x73641)),x73643))+~P105(f844(f844(f235(x73641),f2(x73641)),x73642))+P105(f844(f844(f235(x73641),f2(x73641)),f844(f844(f79(x73641),x73642),x73643)))
% 202.05/201.93 [7365]~P64(x73651)+~P105(f844(f844(f235(x73651),f2(x73651)),x73653))+~P105(f844(f844(f235(x73651),f2(x73651)),x73652))+P105(f844(f844(f235(x73651),f2(x73651)),f844(f844(f290(x73651),x73652),x73653)))
% 202.05/201.93 [7366]~P65(x73661)+~P105(f844(f844(f235(x73661),f2(x73661)),x73663))+~P105(f844(f844(f235(x73661),f2(x73661)),x73662))+P105(f844(f844(f235(x73661),f2(x73661)),f844(f844(f290(x73661),x73662),x73663)))
% 202.05/201.93 [7447]~P77(x74471)+~P105(f844(f60(x74471),x74473))+E(f12(x74471,f844(f844(f308(x74471),x74472),x74473)),x74472)+~E(f844(f844(f3(f916(x74471,a904)),x74473),f844(f844(f308(x74471),x74472),f188(f916(x74471,a904)))),f188(f916(x74471,a904)))
% 202.05/201.93 [7448]~P77(x74481)+~P105(f844(f60(x74481),x74483))+E(f13(x74481,f844(f844(f308(x74481),x74482),x74483)),x74482)+~E(f844(f844(f3(f916(x74481,a904)),x74483),f844(f844(f308(x74481),x74482),f188(f916(x74481,a904)))),f188(f916(x74481,a904)))
% 202.05/201.93 [7449]~P108(x74491)+~P105(f844(f60(x74491),x74493))+E(f16(x74491,f844(f844(f308(x74491),x74492),x74493)),x74492)+~E(f844(f844(f3(f916(x74491,a904)),x74493),f844(f844(f308(x74491),x74492),f188(f916(x74491,a904)))),f188(f916(x74491,a904)))
% 202.05/201.93 [7450]~P108(x74501)+~P105(f844(f60(x74501),x74503))+E(f17(x74501,f844(f844(f308(x74501),x74502),x74503)),x74502)+~E(f844(f844(f3(f916(x74501,a904)),x74503),f844(f844(f308(x74501),x74502),f188(f916(x74501,a904)))),f188(f916(x74501,a904)))
% 202.05/201.93 [7452]~P125(x74521)+P105(f844(f844(f234(x74521),x74522),f2(x74521)))+P105(f844(f844(f234(x74521),f2(x74521)),x74523))+~P105(f844(f844(f234(x74521),f2(x74521)),f844(f844(f80(x74521),x74523),x74522)))
% 202.05/201.93 [7453]~P125(x74531)+P105(f844(f844(f234(x74531),x74532),f2(x74531)))+P105(f844(f844(f234(x74531),f2(x74531)),x74533))+~P105(f844(f844(f234(x74531),f2(x74531)),f844(f844(f80(x74531),x74532),x74533)))
% 202.05/201.93 [7454]~P64(x74541)+P105(f844(f844(f234(x74541),x74542),f2(x74541)))+P105(f844(f844(f234(x74541),f2(x74541)),x74543))+~P105(f844(f844(f234(x74541),f2(x74541)),f844(f844(f290(x74541),x74543),x74542)))
% 202.05/201.93 [7455]~P64(x74551)+P105(f844(f844(f234(x74551),x74552),f2(x74551)))+P105(f844(f844(f234(x74551),f2(x74551)),x74553))+~P105(f844(f844(f234(x74551),f2(x74551)),f844(f844(f290(x74551),x74552),x74553)))
% 202.05/201.93 [7456]~P125(x74561)+P105(f844(f844(f234(x74561),x74562),f2(x74561)))+P105(f844(f844(f234(x74561),f2(x74561)),x74562))+~P105(f844(f844(f234(x74561),f2(x74561)),f844(f844(f80(x74561),x74563),x74562)))
% 202.05/201.93 [7457]~P125(x74571)+P105(f844(f844(f234(x74571),x74572),f2(x74571)))+P105(f844(f844(f234(x74571),f2(x74571)),x74572))+~P105(f844(f844(f234(x74571),f2(x74571)),f844(f844(f80(x74571),x74572),x74573)))
% 202.05/201.93 [7458]~P64(x74581)+P105(f844(f844(f234(x74581),x74582),f2(x74581)))+P105(f844(f844(f234(x74581),f2(x74581)),x74582))+~P105(f844(f844(f234(x74581),f2(x74581)),f844(f844(f290(x74581),x74583),x74582)))
% 202.05/201.93 [7459]~P64(x74591)+P105(f844(f844(f234(x74591),x74592),f2(x74591)))+P105(f844(f844(f234(x74591),f2(x74591)),x74592))+~P105(f844(f844(f234(x74591),f2(x74591)),f844(f844(f290(x74591),x74592),x74593)))
% 202.05/201.93 [7460]~P64(x74601)+P105(f844(f844(f235(x74601),x74602),f2(x74601)))+P105(f844(f844(f235(x74601),f2(x74601)),x74603))+~P105(f844(f844(f235(x74601),f2(x74601)),f844(f844(f290(x74601),x74603),x74602)))
% 202.05/201.93 [7461]~P64(x74611)+P105(f844(f844(f235(x74611),x74612),f2(x74611)))+P105(f844(f844(f235(x74611),f2(x74611)),x74613))+~P105(f844(f844(f235(x74611),f2(x74611)),f844(f844(f290(x74611),x74612),x74613)))
% 202.05/201.93 [7462]~P64(x74621)+P105(f844(f844(f235(x74621),x74622),f2(x74621)))+P105(f844(f844(f235(x74621),f2(x74621)),x74622))+~P105(f844(f844(f235(x74621),f2(x74621)),f844(f844(f290(x74621),x74623),x74622)))
% 202.05/201.93 [7463]~P64(x74631)+P105(f844(f844(f235(x74631),x74632),f2(x74631)))+P105(f844(f844(f235(x74631),f2(x74631)),x74632))+~P105(f844(f844(f235(x74631),f2(x74631)),f844(f844(f290(x74631),x74632),x74633)))
% 202.05/201.93 [7550]~E(f844(f844(f101(f916(x75501,a904)),f844(f172(x75501),x75502)),f844(f172(x75501),x75503)),f188(f916(x75501,a904)))+~P105(f844(f137(x75501),x75503))+~P105(f844(f137(x75501),x75502))+P105(f844(f137(x75501),f844(f844(f134(x75501),x75502),x75503)))
% 202.05/201.93 [7551]~P108(x75511)+~P105(f844(f60(x75511),x75513))+E(f14(x75511,f232(x75511),f844(f844(f308(x75511),x75512),x75513)),x75512)+~E(f844(f844(f3(f916(x75511,a904)),x75513),f844(f844(f308(x75511),x75512),f188(f916(x75511,a904)))),f188(f916(x75511,a904)))
% 202.05/201.93 [7552]~P108(x75521)+~P105(f844(f60(x75521),x75523))+E(f15(x75521,f233(x75521),f844(f844(f308(x75521),x75522),x75523)),x75522)+~E(f844(f844(f3(f916(x75521,a904)),x75523),f844(f844(f308(x75521),x75522),f188(f916(x75521,a904)))),f188(f916(x75521,a904)))
% 202.05/201.93 [7566]~P86(x75661)+~P105(f844(f844(f234(x75661),x75662),x75663))+~P105(f844(f844(f234(x75661),f844(f78(x75661),x75662)),x75663))+P105(f844(f844(f234(x75661),f844(f75(x75661),x75662)),x75663))
% 202.05/201.93 [7567]~P118(x75671)+~P105(f844(f844(f235(x75671),x75672),x75673))+~P105(f844(f844(f235(x75671),f844(f78(x75671),x75672)),x75673))+P105(f844(f844(f235(x75671),f844(f75(x75671),x75672)),x75673))
% 202.05/201.93 [7634]~P131(x76341)+P105(f844(f844(f235(x76341),f2(x76341)),x76342))+~P105(f844(f844(f235(x76341),f2(x76341)),x76343))+~P105(f844(f844(f235(x76341),f2(x76341)),f844(f844(f80(x76341),x76343),x76342)))
% 202.05/201.93 [7635]~P131(x76351)+P105(f844(f844(f235(x76351),f2(x76351)),x76352))+~P105(f844(f844(f235(x76351),f2(x76351)),x76353))+~P105(f844(f844(f235(x76351),f2(x76351)),f844(f844(f80(x76351),x76352),x76353)))
% 202.05/201.93 [7930]E(x79301,x79302)+~P105(f844(f60(x79303),x79301))+~P105(f844(f844(f234(a908),f844(f34(x79303),x79301)),f844(f34(x79303),x79302)))+~P105(f844(f844(f234(f916(x79303,a904)),x79302),x79301))
% 202.05/201.93 [8072]~P105(f844(f844(f235(a1),x80721),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x80722))+~P105(f844(f844(f234(a1),x80722),x80723))+P105(f844(f844(f234(a1),f844(f844(f35(a1),x80721),x80722)),f844(f844(f35(a1),x80721),x80723)))
% 202.05/201.93 [8082]~P105(f844(f844(f234(a1),f2(a1)),x80821))+~P105(f844(f844(f235(a1),f2(a1)),x80823))+~P105(f844(f844(f234(a1),x80823),x80822))+P105(f844(f844(f234(a1),f844(f844(f35(a1),x80821),x80822)),f844(f844(f35(a1),x80821),x80823)))
% 202.05/201.93 [8216]E(f844(x82161,f351(x82162,x82161,x82163)),x82162)+~P105(f844(f844(f234(a1),x82162),f844(x82161,x82163)))+P105(f844(f844(f235(a908),f352(x82162,x82161,x82163)),x82163))+~P105(f844(f844(f234(a1),f844(x82161,f2(a908))),x82162))
% 202.05/201.93 [8217]E(f844(x82171,f353(x82172,x82171,x82173)),x82172)+~P105(f844(f844(f234(a1),x82172),f844(x82171,x82173)))+P105(f844(f844(f235(a908),f354(x82172,x82171,x82173)),x82173))+~P105(f844(f844(f234(a1),f844(x82171,f2(a908))),x82172))
% 202.05/201.93 [8314]~P105(f844(f60(x83141),x83143))+~P105(f844(f844(f235(a908),f844(f34(x83141),x83142)),f844(f34(x83141),x83143)))+~P105(f844(f844(f234(f916(x83141,a904)),x83142),x83143))+P105(f844(f844(f235(f916(x83141,a904)),x83142),x83143))
% 202.05/201.93 [8341]E(f844(f844(f79(a1),f423(x83413,x83411,x83412)),f424(x83413,x83411,x83412)),x83411)+E(f844(f844(f3(a1),x83411),x83412),x83411)+~P105(f844(f844(f235(a1),f2(a1)),x83412))+~P105(f844(f844(f328(a1),f844(f844(f3(a1),x83411),f77(a1))),x83413))
% 202.05/201.93 [8342]E(f844(f844(f3(a1),f430(x83423,x83421,x83422)),f431(x83423,x83421,x83422)),x83421)+E(f844(f844(f79(a1),x83421),x83422),x83421)+~P105(f844(f844(f235(a1),f2(a1)),x83422))+~P105(f844(f844(f328(a1),f844(f844(f79(a1),x83421),f77(a1))),x83423))
% 202.05/201.93 [8393]~P105(f844(f844(f234(a908),x83933),x83931))+P105(f844(f844(f234(a908),x83931),x83932))+~P105(f844(f844(f234(a908),x83933),x83932))+~P105(f844(f844(f234(a908),f844(f844(f3(a908),x83931),x83933)),f844(f844(f3(a908),x83932),x83933)))
% 202.05/201.93 [8394]~P105(f844(f844(f234(a908),x83943),x83941))+P105(f844(f844(f235(a908),x83941),x83942))+~P105(f844(f844(f234(a908),x83943),x83942))+~P105(f844(f844(f235(a908),f844(f844(f3(a908),x83941),x83943)),f844(f844(f3(a908),x83942),x83943)))
% 202.05/201.93 [8413]~P108(x84132)+E(x84131,f113(x84132))+~P12(x84132,f844(f168(x84132),x84131))+E(f844(f142(x84132,x84132,f844(f9(x84132,x84132,x84132),f233(x84132)),x84133),f844(f168(x84132),x84131)),f844(f844(f233(x84132),f844(f844(f164(x84132),x84131),f2(a908))),x84133))
% 202.05/201.93 [8481]E(f844(f844(f3(a1),x84811),x84812),x84811)+~P105(f844(f844(f235(a1),f2(a1)),x84812))+P105(f844(f844(f328(a1),f423(x84813,x84811,x84812)),x84813))+~P105(f844(f844(f328(a1),f844(f844(f3(a1),x84811),f77(a1))),x84813))
% 202.05/201.93 [8482]E(f844(f844(f79(a1),x84821),x84822),x84821)+~P105(f844(f844(f235(a1),f2(a1)),x84822))+P105(f844(f844(f328(a1),f430(x84823,x84821,x84822)),x84823))+~P105(f844(f844(f328(a1),f844(f844(f79(a1),x84821),f77(a1))),x84823))
% 202.05/201.93 [8553]~P105(f844(f844(f234(a1),x85531),f844(x85532,x85533)))+P105(f844(f844(f235(a908),f352(x85531,x85532,x85533)),x85533))+P105(f844(f844(f234(a908),f351(x85531,x85532,x85533)),x85533))+~P105(f844(f844(f234(a1),f844(x85532,f2(a908))),x85531))
% 202.05/201.93 [8554]~P105(f844(f844(f234(a1),x85541),f844(x85542,x85543)))+P105(f844(f844(f235(a908),f354(x85541,x85542,x85543)),x85543))+P105(f844(f844(f234(a908),f353(x85541,x85542,x85543)),x85543))+~P105(f844(f844(f234(a1),f844(x85542,f2(a908))),x85541))
% 202.05/201.93 [8626]E(f844(f844(f3(a1),x86261),x86262),x86261)+~P105(f844(f844(f235(a1),f2(a1)),x86262))+P105(f844(f844(f328(a1),f424(x86263,x86261,x86262)),f302(a1,f77(a1),x86262)))+~P105(f844(f844(f328(a1),f844(f844(f3(a1),x86261),f77(a1))),x86263))
% 202.05/201.93 [8627]E(f844(f844(f79(a1),x86271),x86272),x86271)+~P105(f844(f844(f235(a1),f2(a1)),x86272))+P105(f844(f844(f328(a1),f431(x86273,x86271,x86272)),f302(a1,f77(a1),x86272)))+~P105(f844(f844(f328(a1),f844(f844(f79(a1),x86271),f77(a1))),x86273))
% 202.05/201.93 [8759]~P124(x87591)+~P105(f844(f844(f235(x87591),x87592),f77(x87591)))+~P105(f844(f844(f235(x87591),f2(x87591)),x87592))+P105(f844(f844(f235(x87591),f844(f844(f80(x87591),x87592),f844(f844(f243(x87591),x87592),x87593))),f844(f844(f243(x87591),x87592),x87593)))
% 202.05/201.93 [8852]~P105(f844(x88521,x88522))+P105(f844(x88521,f2(a908)))+~P105(f844(f844(f235(a908),x88522),x88523))+~P105(f844(x88521,f44(a908,f844(a112,f373(x88522,x88521,x88523)),x88523)))
% 202.05/201.93 [9004]E(f396(x90041,x90042,x90043),f2(a908))+P105(f844(f844(x90041,x90043),x90042))+P105(f844(f844(x90041,f396(x90041,x90042,x90043)),f44(a908,f395(x90041,x90042,x90043),f396(x90041,x90042,x90043))))+~P105(f844(f314(f915(a908,a908),a219),f844(f844(f251(a908,a908),x90043),x90042)))
% 202.05/201.93 [9040]~P24(x90401,x90401,x90402,x90403)+E(f844(f309(x90401,x90401,x90402),x90403),x90403)+~P105(f844(f60(x90401),x90403))+~P105(f844(f844(f234(f916(x90401,a904)),f844(f309(x90401,x90401,x90402),x90403)),x90403))
% 202.05/201.93 [9255]P105(f844(f844(x92551,x92552),x92553))+P105(f844(f844(f235(a1),f760(x92551,x92553,x92552)),f761(x92551,x92553,x92552)))+P105(f844(f844(x92551,f760(x92551,x92553,x92552)),f844(f844(f79(a1),f761(x92551,x92553,x92552)),f77(a1))))+~P105(f844(f314(f915(a1,a1),a133),f844(f844(f251(a1,a1),x92552),x92553)))
% 202.05/201.93 [9272]P105(f844(f844(x92721,x92722),x92723))+~P105(f844(f844(f235(a1),f394(x92721,x92723,x92722)),f2(a1)))+P105(f844(f844(x92721,f844(f78(a1),f390(x92721,x92723,x92722))),f844(f78(a1),f394(x92721,x92723,x92722))))+~P105(f844(f314(f915(a1,a1),a221),f844(f844(f251(a1,a1),x92722),x92723)))
% 202.05/201.93 [9458]P105(f844(f844(x94581,x94582),x94583))+P105(f844(f844(x94581,f844(f844(f79(a1),f666(x94581,x94583,x94582)),f77(a1))),f668(x94581,x94583,x94582)))+~P105(f844(f844(f234(a1),f666(x94581,x94583,x94582)),f668(x94581,x94583,x94582)))+~P105(f844(f314(f915(a1,a1),a182),f844(f844(f251(a1,a1),x94582),x94583)))
% 202.05/201.93 [9890]~P61(x98902)+~P61(x98901)+~P105(f844(f55(f915(x98901,x98902)),x98903))+P105(f844(f55(x98901),f844(f844(f10(f916(x98902,a904),a904,x98901),f55(x98902)),f844(f844(f10(f916(x98902,f915(x98901,x98902)),f916(x98902,a904),x98901),f844(f10(f915(x98901,x98902),a904,x98902),x98903)),f251(x98901,x98902)))))
% 202.05/201.93 [9891]~P61(x98912)+~P61(x98911)+~P105(f844(f56(f915(x98911,x98912)),x98913))+P105(f844(f56(x98911),f844(f844(f10(f916(x98912,a904),a904,x98911),f56(x98912)),f844(f844(f10(f916(x98912,f915(x98911,x98912)),f916(x98912,a904),x98911),f844(f10(f915(x98911,x98912),a904,x98912),x98913)),f251(x98911,x98912)))))
% 202.05/201.93 [9985]~P61(x99852)+~P61(x99851)+P105(f844(f55(f915(x99851,x99852)),x99853))+~P105(f844(f55(x99851),f844(f844(f10(f916(x99852,a904),a904,x99851),f55(x99852)),f844(f844(f10(f916(x99852,f915(x99851,x99852)),f916(x99852,a904),x99851),f844(f10(f915(x99851,x99852),a904,x99852),x99853)),f251(x99851,x99852)))))
% 202.05/201.93 [9986]~P61(x99862)+~P61(x99861)+P105(f844(f56(f915(x99861,x99862)),x99863))+~P105(f844(f56(x99861),f844(f844(f10(f916(x99862,a904),a904,x99861),f56(x99862)),f844(f844(f10(f916(x99862,f915(x99861,x99862)),f916(x99862,a904),x99861),f844(f10(f915(x99861,x99862),a904,x99862),x99863)),f251(x99861,x99862)))))
% 202.05/201.93 [10160]E(f844(x101601,f351(x101602,x101601,x101603)),x101602)+~P105(f844(f844(f234(a1),x101602),f844(x101601,x101603)))+~P105(f844(f844(f234(a1),f844(f75(a1),f844(f844(f3(a1),f844(x101601,f844(f844(f79(a908),f352(x101602,x101601,x101603)),f77(a908)))),f844(x101601,f352(x101602,x101601,x101603))))),f77(a1)))+~P105(f844(f844(f234(a1),f844(x101601,f2(a908))),x101602))
% 202.05/201.93 [10161]E(f844(x101611,f353(x101612,x101611,x101613)),x101612)+~P105(f844(f844(f234(a1),x101612),f844(x101611,x101613)))+~P105(f844(f844(f234(a1),f844(f75(a1),f844(f844(f3(a1),f844(x101611,f844(f844(f79(a908),f354(x101612,x101611,x101613)),f77(a908)))),f844(x101611,f354(x101612,x101611,x101613))))),f77(a1)))+~P105(f844(f844(f234(a1),f844(x101611,f2(a908))),x101612))
% 202.05/201.93 [10164]~P105(f844(f844(f234(a1),x101641),f844(x101642,x101643)))+~P105(f844(f844(f234(a1),f844(f75(a1),f844(f844(f3(a1),f844(x101642,f844(f844(f79(a908),f352(x101641,x101642,x101643)),f77(a908)))),f844(x101642,f352(x101641,x101642,x101643))))),f77(a1)))+P105(f844(f844(f234(a908),f351(x101641,x101642,x101643)),x101643))+~P105(f844(f844(f234(a1),f844(x101642,f2(a908))),x101641))
% 202.05/201.93 [10165]~P105(f844(f844(f234(a1),x101651),f844(x101652,x101653)))+~P105(f844(f844(f234(a1),f844(f75(a1),f844(f844(f3(a1),f844(x101652,f844(f844(f79(a908),f354(x101651,x101652,x101653)),f77(a908)))),f844(x101652,f354(x101651,x101652,x101653))))),f77(a1)))+P105(f844(f844(f234(a908),f353(x101651,x101652,x101653)),x101653))+~P105(f844(f844(f234(a1),f844(x101652,f2(a908))),x101651))
% 202.05/201.93 [10222]E(x102221,x102222)+~E(f844(f142(f909(x102223),f909(x102223),f134(x102223),f113(x102223)),x102221),f844(f142(f909(x102223),f909(x102223),f134(x102223),f113(x102223)),x102222))+~E(f844(f189(f909(f909(x102223))),x102221),f844(f189(f909(f909(x102223))),x102222))+~P105(f844(f844(f256(f909(x102223),f909(x102223),a904),f844(f844(f9(f909(x102223),f916(f909(x102223),a908),f916(f909(x102223),a904)),f844(f844(f10(f916(a908,a904),f916(f916(f909(x102223),a908),f916(f909(x102223),a904)),f909(x102223)),f10(a908,a904,f909(x102223))),f844(f844(f10(a908,f916(a908,a904),f909(x102223)),a324),f189(f909(x102223))))),f189(f909(x102223)))),f692(x102222,x102221,x102223)))
% 202.05/201.93 [10223]E(x102231,x102232)+~E(f844(f142(f909(x102233),f909(x102233),f134(x102233),f113(x102233)),x102231),f844(f142(f909(x102233),f909(x102233),f134(x102233),f113(x102233)),x102232))+~E(f844(f189(f909(f909(x102233))),x102231),f844(f189(f909(f909(x102233))),x102232))+~P105(f844(f844(f256(f909(x102233),f909(x102233),a904),f844(f844(f9(f909(x102233),f916(f909(x102233),a908),f916(f909(x102233),a904)),f844(f844(f10(f916(a908,a904),f916(f916(f909(x102233),a908),f916(f909(x102233),a904)),f909(x102233)),f10(a908,a904,f909(x102233))),f844(f844(f10(a908,f916(a908,a904),f909(x102233)),a324),f189(f909(x102233))))),f189(f909(x102233)))),f693(x102231,x102232,x102233)))
% 202.05/201.93 [6962]~E(f77(a908),f2(a908))+~P105(f844(f60(x69621),x69623))+~P105(f844(f60(x69621),x69622))+E(f844(f844(f79(a908),f844(f34(x69621),x69622)),f844(f34(x69621),x69623)),f844(f34(x69621),f844(f844(f110(f916(x69621,a904)),x69622),x69623)))
% 202.05/201.93 [7373]~P101(x73731)+~P105(f844(f60(x73731),x73732))+~P105(f844(f844(f328(x73731),x73733),x73732))+P105(f844(f844(f234(x73731),f844(f62(x73731,f101(x73731)),x73732)),x73733))
% 202.05/201.93 [7374]~P108(x73741)+~P105(f844(f60(x73741),x73742))+~P105(f844(f844(f328(x73741),x73743),x73742))+P105(f844(f844(f234(x73741),f844(f62(x73741,f232(x73741)),x73742)),x73743))
% 202.05/201.93 [7628]~P105(f844(f60(x76281),x76283))+~P105(f844(f60(x76281),x76282))+~E(f844(f844(f101(f916(x76281,a904)),x76282),x76283),f188(f916(x76281,a904)))+E(f844(f844(f79(a908),f844(f34(x76281),x76282)),f844(f34(x76281),x76283)),f844(f34(x76281),f844(f844(f110(f916(x76281,a904)),x76282),x76283)))
% 202.05/201.93 [8399]~P36(x83991,x83993)+~P36(x83991,x83992)+~E(f844(f844(f101(f916(x83991,a904)),f844(f263(x83991,x83991),x83992)),f844(f283(x83991,x83991),x83993)),f188(f916(x83991,a904)))+P36(x83991,f844(f844(f110(f916(f915(x83991,x83991),a904)),x83992),x83993))
% 202.05/201.93 [8493]E(x84931,f844(f844(f35(a908),x84932),x84933))+~P105(f844(f844(f235(a908),f2(a908)),x84933))+~P105(f844(f844(f235(a908),x84932),f844(f844(f80(a908),x84933),f844(a112,x84931))))+~P105(f844(f844(f234(a908),f844(f844(f80(a908),x84933),x84931)),x84932))
% 202.05/201.93 [8624]~P105(f844(f60(x86241),x86242))+~P105(f844(f60(x86241),x86243))+E(f844(f844(f79(a908),f844(f34(x86241),x86242)),f844(f34(x86241),x86243)),f844(f34(x86241),f844(f844(f110(f916(x86241,a904)),x86242),x86243)))+P105(f844(f844(f328(x86241),f870(x86243,x86242,x86241)),f844(f844(f101(f916(x86241,a904)),x86242),x86243)))
% 202.05/201.93 [9016]~P125(x90162)+~E(x90161,f2(x90162))+~E(x90163,f2(x90162))+~P105(f844(f844(f235(x90162),f2(x90162)),f844(f844(f79(x90162),f844(f844(f80(x90162),x90163),x90163)),f844(f844(f80(x90162),x90161),x90161))))
% 202.05/201.93 [9537]~P36(x95371,x95373)+~P36(x95371,x95372)+P36(x95371,f844(f844(f110(f916(f915(x95371,x95371),a904)),x95372),x95373))+~P105(f844(f844(f234(f916(f915(x95371,x95371),a904)),f844(f844(f288(x95371,x95371,x95371),x95372),x95373)),x95372))
% 202.05/201.93 [9665]~P105(f844(x96651,x96653))+~P105(f844(f60(x96652),x96653))+P105(f844(x96651,f188(f916(x96652,a904))))+~P105(f844(x96651,f844(f844(f3(f916(x96652,a904)),f418(x96651,x96653,x96652)),f844(f844(f308(x96652),f419(x96651,x96653,x96652)),f188(f916(x96652,a904))))))
% 202.05/201.93 [8799]~P105(f844(f844(f235(a1),f2(a1)),x87993))+P105(f844(f844(f234(a1),f2(a1)),x87991))+~P105(f844(f844(f235(a1),x87992),x87993))+~P105(f844(f844(f234(a1),f2(a1)),f844(f844(f79(a1),f844(f844(f80(a1),x87993),x87991)),x87992)))
% 202.05/201.93 [8823]~P77(x88231)+~P105(f844(f60(x88231),x88232))+E(f844(f844(f3(f916(x88231,a904)),x88232),f844(f844(f308(x88231),x88233),f188(f916(x88231,a904)))),f188(f916(x88231,a904)))+E(f844(f844(f110(x88231),x88233),f12(x88231,f844(f844(f3(f916(x88231,a904)),x88232),f844(f844(f308(x88231),x88233),f188(f916(x88231,a904)))))),f12(x88231,f844(f844(f308(x88231),x88233),x88232)))
% 202.05/201.93 [8824]~P77(x88241)+~P105(f844(f60(x88241),x88242))+E(f844(f844(f3(f916(x88241,a904)),x88242),f844(f844(f308(x88241),x88243),f188(f916(x88241,a904)))),f188(f916(x88241,a904)))+E(f844(f844(f101(x88241),x88243),f13(x88241,f844(f844(f3(f916(x88241,a904)),x88242),f844(f844(f308(x88241),x88243),f188(f916(x88241,a904)))))),f13(x88241,f844(f844(f308(x88241),x88243),x88242)))
% 202.05/201.93 [8825]~P108(x88251)+~P105(f844(f60(x88251),x88252))+E(f844(f844(f3(f916(x88251,a904)),x88252),f844(f844(f308(x88251),x88253),f188(f916(x88251,a904)))),f188(f916(x88251,a904)))+E(f844(f844(f232(x88251),x88253),f16(x88251,f844(f844(f3(f916(x88251,a904)),x88252),f844(f844(f308(x88251),x88253),f188(f916(x88251,a904)))))),f16(x88251,f844(f844(f308(x88251),x88253),x88252)))
% 202.05/201.93 [8826]~P108(x88261)+~P105(f844(f60(x88261),x88262))+E(f844(f844(f3(f916(x88261,a904)),x88262),f844(f844(f308(x88261),x88263),f188(f916(x88261,a904)))),f188(f916(x88261,a904)))+E(f844(f844(f233(x88261),x88263),f17(x88261,f844(f844(f3(f916(x88261,a904)),x88262),f844(f844(f308(x88261),x88263),f188(f916(x88261,a904)))))),f17(x88261,f844(f844(f308(x88261),x88263),x88262)))
% 202.05/201.93 [8898]~P108(x88981)+~P105(f844(f60(x88981),x88982))+E(f844(f844(f3(f916(x88981,a904)),x88982),f844(f844(f308(x88981),x88983),f188(f916(x88981,a904)))),f188(f916(x88981,a904)))+E(f844(f844(f232(x88981),x88983),f14(x88981,f232(x88981),f844(f844(f3(f916(x88981,a904)),x88982),f844(f844(f308(x88981),x88983),f188(f916(x88981,a904)))))),f14(x88981,f232(x88981),f844(f844(f308(x88981),x88983),x88982)))
% 202.05/201.93 [8899]~P108(x88991)+~P105(f844(f60(x88991),x88992))+E(f844(f844(f3(f916(x88991,a904)),x88992),f844(f844(f308(x88991),x88993),f188(f916(x88991,a904)))),f188(f916(x88991,a904)))+E(f844(f844(f233(x88991),x88993),f15(x88991,f233(x88991),f844(f844(f3(f916(x88991,a904)),x88992),f844(f844(f308(x88991),x88993),f188(f916(x88991,a904)))))),f15(x88991,f233(x88991),f844(f844(f308(x88991),x88993),x88992)))
% 202.05/201.93 [9477]E(x94771,x94772)+~E(f844(f142(f909(x94773),f909(x94773),f134(x94773),f113(x94773)),x94771),f844(f142(f909(x94773),f909(x94773),f134(x94773),f113(x94773)),x94772))+~E(f844(f189(f909(f909(x94773))),x94771),f844(f189(f909(f909(x94773))),x94772))+P105(f844(f844(f328(f915(f909(x94773),f909(x94773))),f692(x94772,x94771,x94773)),f844(f172(f915(f909(x94773),f909(x94773))),f844(f844(f181(f909(x94773),f909(x94773)),x94771),x94772))))
% 202.05/201.93 [9478]E(x94781,x94782)+~E(f844(f142(f909(x94783),f909(x94783),f134(x94783),f113(x94783)),x94781),f844(f142(f909(x94783),f909(x94783),f134(x94783),f113(x94783)),x94782))+~E(f844(f189(f909(f909(x94783))),x94781),f844(f189(f909(f909(x94783))),x94782))+P105(f844(f844(f328(f915(f909(x94783),f909(x94783))),f693(x94781,x94782,x94783)),f844(f172(f915(f909(x94783),f909(x94783))),f844(f844(f181(f909(x94783),f909(x94783)),x94782),x94781))))
% 202.05/201.93 [10325]~P98(x103252)+E(x103251,f188(f916(x103252,a904)))+~P105(f844(f60(x103252),x103251))+E(f13(x103252,f844(f261(x103252),f844(f844(f10(f916(x103252,a904),a904,x103252),f86(x103252)),f844(f844(f9(x103252,f916(x103252,a904),f916(x103252,a904)),f844(f844(f10(f916(x103252,f916(a904,a904)),f916(f916(x103252,a904),f916(x103252,a904)),x103252),f20(x103252,a904,a904)),f844(f844(f10(f916(x103252,a904),f916(x103252,f916(a904,a904)),x103252),f844(f10(a904,f916(a904,a904),x103252),a325)),f844(f844(f9(x103252,f916(x103252,x103252),f916(x103252,a904)),f844(f844(f10(f916(x103252,a904),f916(f916(x103252,x103252),f916(x103252,a904)),x103252),f10(x103252,a904,x103252)),a324)),f844(f110(x103252),x103253))))),f844(f844(f9(x103252,f916(x103252,a904),a904),f328(x103252)),x103251))))),f844(f844(f110(x103252),x103253),f13(x103252,x103251)))
% 202.05/201.93 [10326]~P98(x103262)+E(x103261,f188(f916(x103262,a904)))+~P105(f844(f60(x103262),x103261))+E(f12(x103262,f844(f261(x103262),f844(f844(f10(f916(x103262,a904),a904,x103262),f86(x103262)),f844(f844(f9(x103262,f916(x103262,a904),f916(x103262,a904)),f844(f844(f10(f916(x103262,f916(a904,a904)),f916(f916(x103262,a904),f916(x103262,a904)),x103262),f20(x103262,a904,a904)),f844(f844(f10(f916(x103262,a904),f916(x103262,f916(a904,a904)),x103262),f844(f10(a904,f916(a904,a904),x103262),a325)),f844(f844(f9(x103262,f916(x103262,x103262),f916(x103262,a904)),f844(f844(f10(f916(x103262,a904),f916(f916(x103262,x103262),f916(x103262,a904)),x103262),f10(x103262,a904,x103262)),a324)),f844(f101(x103262),x103263))))),f844(f844(f9(x103262,f916(x103262,a904),a904),f328(x103262)),x103261))))),f844(f844(f101(x103262),x103263),f12(x103262,x103261)))
% 202.05/201.93 [10327]~P76(x103272)+E(x103271,f188(f916(x103272,a904)))+~P105(f844(f60(x103272),x103271))+E(f16(x103272,f844(f261(x103272),f844(f844(f10(f916(x103272,a904),a904,x103272),f86(x103272)),f844(f844(f9(x103272,f916(x103272,a904),f916(x103272,a904)),f844(f844(f10(f916(x103272,f916(a904,a904)),f916(f916(x103272,a904),f916(x103272,a904)),x103272),f20(x103272,a904,a904)),f844(f844(f10(f916(x103272,a904),f916(x103272,f916(a904,a904)),x103272),f844(f10(a904,f916(a904,a904),x103272),a325)),f844(f844(f9(x103272,f916(x103272,x103272),f916(x103272,a904)),f844(f844(f10(f916(x103272,a904),f916(f916(x103272,x103272),f916(x103272,a904)),x103272),f10(x103272,a904,x103272)),a324)),f844(f79(x103272),x103273))))),f844(f844(f9(x103272,f916(x103272,a904),a904),f328(x103272)),x103271))))),f844(f844(f79(x103272),x103273),f16(x103272,x103271)))
% 202.05/201.93 [10328]~P76(x103282)+E(x103281,f188(f916(x103282,a904)))+~P105(f844(f60(x103282),x103281))+E(f17(x103282,f844(f261(x103282),f844(f844(f10(f916(x103282,a904),a904,x103282),f86(x103282)),f844(f844(f9(x103282,f916(x103282,a904),f916(x103282,a904)),f844(f844(f10(f916(x103282,f916(a904,a904)),f916(f916(x103282,a904),f916(x103282,a904)),x103282),f20(x103282,a904,a904)),f844(f844(f10(f916(x103282,a904),f916(x103282,f916(a904,a904)),x103282),f844(f10(a904,f916(a904,a904),x103282),a325)),f844(f844(f9(x103282,f916(x103282,x103282),f916(x103282,a904)),f844(f844(f10(f916(x103282,a904),f916(f916(x103282,x103282),f916(x103282,a904)),x103282),f10(x103282,a904,x103282)),a324)),f844(f79(x103282),x103283))))),f844(f844(f9(x103282,f916(x103282,a904),a904),f328(x103282)),x103281))))),f844(f844(f79(x103282),x103283),f17(x103282,x103281)))
% 202.05/201.93 [10329]~P108(x103292)+E(x103291,f188(f916(x103292,a904)))+~P105(f844(f60(x103292),x103291))+E(f15(x103292,f233(x103292),f844(f261(x103292),f844(f844(f10(f916(x103292,a904),a904,x103292),f86(x103292)),f844(f844(f9(x103292,f916(x103292,a904),f916(x103292,a904)),f844(f844(f10(f916(x103292,f916(a904,a904)),f916(f916(x103292,a904),f916(x103292,a904)),x103292),f20(x103292,a904,a904)),f844(f844(f10(f916(x103292,a904),f916(x103292,f916(a904,a904)),x103292),f844(f10(a904,f916(a904,a904),x103292),a325)),f844(f844(f9(x103292,f916(x103292,x103292),f916(x103292,a904)),f844(f844(f10(f916(x103292,a904),f916(f916(x103292,x103292),f916(x103292,a904)),x103292),f10(x103292,a904,x103292)),a324)),f844(f232(x103292),x103293))))),f844(f844(f9(x103292,f916(x103292,a904),a904),f328(x103292)),x103291))))),f844(f844(f232(x103292),x103293),f15(x103292,f233(x103292),x103291)))
% 202.05/201.93 [10330]~P108(x103302)+E(x103301,f188(f916(x103302,a904)))+~P105(f844(f60(x103302),x103301))+E(f14(x103302,f232(x103302),f844(f261(x103302),f844(f844(f10(f916(x103302,a904),a904,x103302),f86(x103302)),f844(f844(f9(x103302,f916(x103302,a904),f916(x103302,a904)),f844(f844(f10(f916(x103302,f916(a904,a904)),f916(f916(x103302,a904),f916(x103302,a904)),x103302),f20(x103302,a904,a904)),f844(f844(f10(f916(x103302,a904),f916(x103302,f916(a904,a904)),x103302),f844(f10(a904,f916(a904,a904),x103302),a325)),f844(f844(f9(x103302,f916(x103302,x103302),f916(x103302,a904)),f844(f844(f10(f916(x103302,a904),f916(f916(x103302,x103302),f916(x103302,a904)),x103302),f10(x103302,a904,x103302)),a324)),f844(f233(x103302),x103303))))),f844(f844(f9(x103302,f916(x103302,a904),a904),f328(x103302)),x103301))))),f844(f844(f233(x103302),x103303),f14(x103302,f232(x103302),x103301)))
% 202.05/201.93 [10050]~P118(x100501)+~E(x100503,f2(x100501))+~E(x100502,f2(x100501))+E(f844(f844(f79(x100501),f844(f844(f243(x100501),x100502),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x100501),x100503),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f2(x100501))
% 202.05/201.93 [10203]~P124(x102031)+~P105(f844(f844(f234(x102031),f2(x102031)),x102033))+P105(f844(f844(f234(x102031),x102032),x102033))+~P105(f844(f844(f234(x102031),f844(f844(f243(x102031),x102032),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x102031),x102033),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))))
% 202.05/201.93 [10258]~P118(x102582)+~E(x102581,f2(x102582))+~E(x102583,f2(x102582))+~P105(f844(f844(f235(x102582),f2(x102582)),f844(f844(f79(x102582),f844(f844(f243(x102582),x102583),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97))))),f844(f844(f243(x102582),x102581),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))))
% 202.05/201.93 [6843]~P6(x68433,x68432)+~P105(f844(x68431,x68434))+~P105(f844(f844(f328(x68433),x68434),f269(x68433,x68432)))+P105(f844(x68431,f808(x68431,x68432,x68433)))
% 202.05/201.93 [8734]P25(x87341,x87342,f812(x87343,x87342,x87344,x87341),x87344,x87343)+~E(f844(f34(x87341),x87344),f844(f34(x87342),x87343))+~P105(f844(f60(x87342),x87343))+~P105(f844(f60(x87341),x87344))
% 202.05/201.93 [9440]E(x94401,x94402)+~E(f635(x94401,x94402,x94404,x94403),f640(x94401,x94402,x94404,x94403))+P105(f844(f844(f328(f915(f909(x94403),f909(x94403))),f844(f844(f251(f909(x94403),f909(x94403)),x94402),x94401)),f147(x94403,x94404)))+P105(f844(f844(f328(f915(f909(x94403),f909(x94403))),f844(f844(f251(f909(x94403),f909(x94403)),x94401),x94402)),f147(x94403,x94404)))
% 202.05/201.93 [4968]~P62(x49682)+~E(x49684,f2(x49682))+~E(x49681,f2(x49682))+E(x49681,f844(f844(f290(x49682),x49683),x49684))
% 202.05/201.93 [4969]~P62(x49691)+~E(x49693,f2(x49691))+~E(x49694,f2(x49691))+E(f844(f844(f290(x49691),x49692),x49693),x49694)
% 202.05/201.93 [5089]~P62(x50892)+E(x50891,f2(x50892))+~E(x50893,f2(x50892))+~E(x50891,f844(f844(f290(x50892),x50894),x50893))
% 202.05/201.93 [5090]~P62(x50902)+E(x50901,f2(x50902))+~E(x50903,f2(x50902))+~E(f844(f844(f290(x50902),x50904),x50903),x50901)
% 202.05/201.93 [5273]~P121(x52732)+E(x52731,f2(x52732))+~E(f844(f844(f290(x52732),x52733),x52731),x52734)+E(x52733,f844(f844(f80(x52732),x52734),x52731))
% 202.05/201.93 [5275]~P121(x52752)+E(x52751,f2(x52752))+~E(f844(f844(f80(x52752),x52753),x52751),x52754)+E(x52753,f844(f844(f290(x52752),x52754),x52751))
% 202.05/201.93 [5276]~P62(x52762)+E(x52761,f2(x52762))+~E(f844(f844(f290(x52762),x52763),x52761),x52764)+E(x52763,f844(f844(f80(x52762),x52764),x52761))
% 202.05/201.93 [5277]~P62(x52772)+E(x52771,f2(x52772))+~E(f844(f844(f80(x52772),x52773),x52771),x52774)+E(x52773,f844(f844(f290(x52772),x52774),x52771))
% 202.05/201.93 [5278]~P121(x52782)+E(x52781,f2(x52782))+~E(x52783,f844(f844(f290(x52782),x52784),x52781))+E(f844(f844(f80(x52782),x52783),x52781),x52784)
% 202.05/201.93 [5280]~P121(x52802)+E(x52801,f2(x52802))+~E(x52803,f844(f844(f80(x52802),x52804),x52801))+E(f844(f844(f290(x52802),x52803),x52801),x52804)
% 202.05/201.93 [5281]~P62(x52812)+E(x52811,f2(x52812))+~E(x52813,f844(f844(f290(x52812),x52814),x52811))+E(f844(f844(f80(x52812),x52813),x52811),x52814)
% 202.05/201.93 [5282]~P62(x52822)+E(x52821,f2(x52822))+~E(x52823,f844(f844(f80(x52822),x52824),x52821))+E(f844(f844(f290(x52822),x52823),x52821),x52824)
% 202.05/201.93 [5306]~P62(x53062)+~E(x53061,f2(x53062))+~E(f844(f844(f80(x53062),x53061),x53064),x53063)+E(x53061,f844(f844(f290(x53062),x53063),x53064))
% 202.05/201.93 [5307]~P62(x53071)+~E(x53074,f2(x53071))+~E(x53072,f844(f844(f80(x53071),x53074),x53073))+E(f844(f844(f290(x53071),x53072),x53073),x53074)
% 202.05/201.93 [5382]~E(x53823,x53824)+~E(x53822,x53823)+~P109(x53821)+E(f302(x53821,x53822,x53823),f844(f844(f308(x53821),x53824),f188(f916(x53821,a904))))
% 202.05/201.93 [5589]~E(f114(x55892,x55891),x55893)+~E(f144(x55892,x55891),x55894)+E(x55891,f113(x55892))+E(f844(f844(f134(x55892),x55893),f844(f844(f151(x55892),x55894),f113(x55892))),x55891)
% 202.05/201.93 [6225]~P124(x62253)+E(x62251,x62252)+~E(f844(f844(f243(x62253),x62254),x62251),f844(f844(f243(x62253),x62254),x62252))+~P105(f844(f844(f235(x62253),f77(x62253)),x62254))
% 202.05/201.93 [6226]E(x62261,x62262)+~E(f844(f844(f308(x62263),x62264),x62261),f844(f844(f308(x62263),x62264),x62262))+P105(f844(f844(f328(x62263),x62264),x62262))+P105(f844(f844(f328(x62263),x62264),x62261))
% 202.05/201.93 [6269]E(f844(x62691,x62692),f77(a908))+~E(f844(f844(f11(x62693,a908),x62691),x62694),f77(a908))+~P105(f844(f60(x62693),x62694))+~P105(f844(f844(f328(x62693),x62692),x62694))
% 202.05/201.93 [6270]E(f844(x62701,x62702),f2(a908))+~E(f844(f844(f8(x62703,a908),x62701),x62704),f2(a908))+~P105(f844(f60(x62703),x62704))+~P105(f844(f844(f328(x62703),x62702),x62704))
% 202.05/201.93 [6493]~P109(x64931)+~P105(f844(f844(f234(x64931),x64934),x64933))+P105(f844(f844(f234(x64931),x64932),x64933))+~P105(f844(f844(f234(x64931),x64932),x64934))
% 202.05/201.93 [6494]~P106(x64941)+~P105(f844(f844(f234(x64941),x64942),x64944))+P105(f844(f844(f234(x64941),x64942),x64943))+~P105(f844(f844(f234(x64941),x64944),x64943))
% 202.05/201.93 [6495]~P109(x64951)+~P105(f844(f844(f235(x64951),x64954),x64953))+P105(f844(f844(f235(x64951),x64952),x64953))+~P105(f844(f844(f234(x64951),x64952),x64954))
% 202.05/201.93 [6496]~P109(x64961)+~P105(f844(f844(f235(x64961),x64962),x64964))+P105(f844(f844(f235(x64961),x64962),x64963))+~P105(f844(f844(f234(x64961),x64964),x64963))
% 202.05/201.93 [6497]~P109(x64971)+~P105(f844(f844(f235(x64971),x64974),x64973))+P105(f844(f844(f235(x64971),x64972),x64973))+~P105(f844(f844(f235(x64971),x64972),x64974))
% 202.05/201.93 [6498]~P106(x64981)+~P105(f844(f844(f235(x64981),x64982),x64984))+P105(f844(f844(f235(x64981),x64982),x64983))+~P105(f844(f844(f234(x64981),x64984),x64983))
% 202.05/201.93 [6499]~P106(x64991)+~P105(f844(f844(f235(x64991),x64994),x64993))+P105(f844(f844(f235(x64991),x64992),x64993))+~P105(f844(f844(f234(x64991),x64992),x64994))
% 202.05/201.93 [6500]~P106(x65001)+~P105(f844(f844(f235(x65001),x65002),x65004))+P105(f844(f844(f235(x65001),x65002),x65003))+~P105(f844(f844(f235(x65001),x65004),x65003))
% 202.05/201.93 [6501]~P112(x65011)+~P105(f844(f844(f286(x65011),x65012),x65014))+P105(f844(f844(f286(x65011),x65012),x65013))+~P105(f844(f844(f286(x65011),x65014),x65013))
% 202.05/201.93 [6581]~P34(x65814,x65813,x65812)+E(x65811,f746(x65812,x65813,x65814))+~P105(f844(x65813,x65811))+~P105(f844(f844(f328(x65814),x65811),f844(f172(x65814),x65812)))
% 202.05/201.93 [6582]~P34(x65824,x65823,x65822)+E(x65821,f756(x65822,x65823,x65824))+~P105(f844(x65823,x65821))+~P105(f844(f844(f328(x65824),x65821),f844(f172(x65824),x65822)))
% 202.05/201.93 [6733]~P4(x67331)+~P105(f844(f844(f234(x67331),x67332),f37(x67331,x67334)))+P105(f844(f844(f234(x67331),x67332),x67333))+~P105(f844(f844(f328(x67331),x67333),x67334))
% 202.05/201.93 [6885]~P108(x68851)+~P12(x68851,f844(f844(f151(x68851),x68852),x68854))+~P105(f844(f844(f328(x68851),x68853),f844(f172(x68851),x68854)))+P105(f844(f844(f234(x68851),x68852),x68853))
% 202.05/201.93 [6972]~P4(x69721)+~P105(f844(f844(f234(x69721),f36(x69721,x69724)),x69723))+P105(f844(f844(f234(x69721),x69722),x69723))+~P105(f844(f844(f328(x69721),x69722),x69724))
% 202.05/201.93 [7112]~P59(x71121)+P105(f844(f844(f286(x71121),x71122),f44(x71121,x71123,x71124)))+~P105(f844(f844(f286(x71121),x71122),x71124))+~P105(f844(f844(f286(x71121),x71122),x71123))
% 202.05/201.93 [7376]~P108(x73761)+E(f844(f844(f110(f916(x73761,a904)),f844(f301(x73761,x73762),x73763)),f844(f301(x73761,x73763),x73764)),f844(f301(x73761,x73762),x73764))+~P105(f844(f844(f234(x73761),x73763),x73764))+~P105(f844(f844(f234(x73761),x73762),x73763))
% 202.05/201.93 [7423]P34(x74231,x74232,x74233)+~E(f757(x74233,x74232,x74231,x74234),x74234)+~P105(f844(x74232,x74234))+~P105(f844(f844(f328(x74231),x74234),f844(f172(x74231),x74233)))
% 202.05/201.93 [7424]P34(x74241,x74242,x74243)+~E(f764(x74243,x74242,x74241,x74244),x74244)+~P105(f844(x74242,x74244))+~P105(f844(f844(f328(x74241),x74244),f844(f172(x74241),x74243)))
% 202.05/201.93 [7466]~P59(x74661)+~P105(f844(f844(f286(x74661),x74662),f44(x74661,x74663,x74664)))+P105(f844(f844(f286(x74661),x74662),x74663))+~P105(f844(f844(f286(x74661),x74662),x74664))
% 202.05/201.93 [7499]~P108(x74991)+E(f844(f844(f110(f916(x74991,a904)),f844(f301(x74991,x74992),x74993)),f302(x74991,x74993,x74994)),f302(x74991,x74992,x74994))+~P105(f844(f844(f234(x74991),x74993),x74994))+~P105(f844(f844(f234(x74991),x74992),x74993))
% 202.05/201.93 [7561]~P108(x75611)+E(f844(f844(f110(f916(x75611,a904)),f305(x75611,x75612,x75613)),f844(f301(x75611,x75613),x75614)),f305(x75611,x75612,x75614))+~P105(f844(f844(f234(x75611),x75613),x75614))+~P105(f844(f844(f235(x75611),x75612),x75613))
% 202.05/201.93 [7578]~P108(x75781)+E(f844(f844(f110(f916(x75781,a904)),f302(x75781,x75782,x75783)),f305(x75781,x75783,x75784)),f844(f301(x75781,x75782),x75784))+~P105(f844(f844(f234(x75781),x75782),x75783))+~P105(f844(f844(f235(x75781),x75783),x75784))
% 202.05/201.93 [7609]~P108(x76091)+E(f844(f844(f110(f916(x76091,a904)),f302(x76091,x76092,x76093)),f304(x76091,x76093,x76094)),f302(x76091,x76092,x76094))+~P105(f844(f844(f234(x76091),x76093),x76094))+~P105(f844(f844(f234(x76091),x76092),x76093))
% 202.05/201.93 [7610]~P108(x76101)+E(f844(f844(f110(f916(x76101,a904)),f305(x76101,x76102,x76103)),f302(x76101,x76103,x76104)),f304(x76101,x76102,x76104))+~P105(f844(f844(f234(x76101),x76103),x76104))+~P105(f844(f844(f235(x76101),x76102),x76103))
% 202.05/201.93 [7611]~P108(x76111)+E(f844(f844(f110(f916(x76111,a904)),f304(x76111,x76112,x76113)),f305(x76111,x76113,x76114)),f305(x76111,x76112,x76114))+~P105(f844(f844(f234(x76111),x76112),x76113))+~P105(f844(f844(f235(x76111),x76113),x76114))
% 202.05/201.93 [7612]~P108(x76121)+E(f844(f844(f110(f916(x76121,a904)),f304(x76121,x76122,x76123)),f304(x76121,x76123,x76124)),f304(x76121,x76122,x76124))+~P105(f844(f844(f234(x76121),x76123),x76124))+~P105(f844(f844(f234(x76121),x76122),x76123))
% 202.05/201.93 [8383]P24(x83831,x83832,f515(x83833,x83832,x83834,x83831),x83834)+~P105(f844(f60(x83832),x83833))+~P105(f844(f60(x83831),x83834))+~P105(f844(f844(f234(a908),f844(f34(x83831),x83834)),f844(f34(x83832),x83833)))
% 202.05/201.93 [8404]P34(x84041,x84042,x84043)+~P105(f844(x84042,x84044))+P105(f844(x84042,f757(x84043,x84042,x84041,x84044)))+~P105(f844(f844(f328(x84041),x84044),f844(f172(x84041),x84043)))
% 202.05/201.93 [8405]P34(x84051,x84052,x84053)+~P105(f844(x84052,x84054))+P105(f844(x84052,f764(x84053,x84052,x84051,x84054)))+~P105(f844(f844(f328(x84051),x84054),f844(f172(x84051),x84053)))
% 202.05/201.93 [8459]~P74(x84591)+~E(f844(x84593,f829(x84593,x84594,x84592,x84591)),f77(x84591))+E(f844(f844(f844(f64(x84591,x84592,f80(x84591)),x84593),f77(x84591)),x84594),f77(x84591))+~P105(f844(f60(x84592),x84594))
% 202.05/201.93 [8723]~P124(x87231)+~P105(f844(f844(f234(x87231),f2(x87231)),x87233))+P105(f844(f844(f234(x87231),x87232),x87233))+~P105(f844(f844(f234(x87231),f844(f844(f243(x87231),x87232),f844(a112,x87234))),f844(f844(f243(x87231),x87233),f844(a112,x87234))))
% 202.05/201.93 [9041]P34(x90411,x90412,x90413)+~P105(f844(x90412,x90414))+~P105(f844(f844(f328(x90411),x90414),f844(f172(x90411),x90413)))+P105(f844(f844(f328(x90411),f757(x90413,x90412,x90411,x90414)),f844(f172(x90411),x90413)))
% 202.05/201.93 [9042]P34(x90421,x90422,x90423)+~P105(f844(x90422,x90424))+~P105(f844(f844(f328(x90421),x90424),f844(f172(x90421),x90423)))+P105(f844(f844(f328(x90421),f764(x90423,x90422,x90421,x90424)),f844(f172(x90421),x90423)))
% 202.05/201.93 [9118]~P74(x91181)+E(f844(f844(f844(f64(x91181,x91182,f80(x91181)),x91183),f77(x91181)),x91184),f77(x91181))+~P105(f844(f60(x91182),x91184))+P105(f844(f844(f328(x91182),f829(x91183,x91184,x91182,x91181)),x91184))
% 202.05/201.93 [9608]~P105(f844(f844(f234(a1),x96084),f2(a1)))+P105(f844(f844(f234(a1),f844(f844(f79(a1),f844(f844(f80(a1),x96081),f44(a1,x96082,x96083))),x96084)),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x96083))+~P105(f844(f844(f235(a1),x96081),x96084))
% 202.05/201.93 [10043]~P105(f844(f60(x100431),x100432))+~P105(f844(f844(f328(x100431),x100434),x100432))+~P105(f844(f844(f328(x100431),x100433),x100432))+P105(f844(f844(f235(a908),f844(f34(x100431),f844(f844(f3(f916(x100431,a904)),f844(f844(f3(f916(x100431,a904)),x100432),f844(f844(f308(x100431),x100433),f188(f916(x100431,a904))))),f844(f844(f308(x100431),x100434),f188(f916(x100431,a904)))))),f844(f34(x100431),x100432)))
% 202.05/201.93 [7084]~P101(x70841)+~P105(f844(f844(f234(x70841),x70842),x70844))+~P105(f844(f844(f234(x70841),x70842),x70843))+P105(f844(f844(f234(x70841),x70842),f844(f844(f101(x70841),x70843),x70844)))
% 202.05/201.93 [7087]~P108(x70871)+~P105(f844(f844(f234(x70871),x70872),x70874))+~P105(f844(f844(f234(x70871),x70872),x70873))+P105(f844(f844(f234(x70871),x70872),f844(f844(f232(x70871),x70873),x70874)))
% 202.05/201.93 [7088]~P108(x70881)+~P105(f844(f844(f235(x70881),x70882),x70884))+~P105(f844(f844(f235(x70881),x70882),x70883))+P105(f844(f844(f235(x70881),x70882),f844(f844(f232(x70881),x70883),x70884)))
% 202.05/201.93 [7089]~P114(x70891)+~P105(f844(f844(f286(x70891),x70892),x70894))+~P105(f844(f844(f286(x70891),x70892),x70893))+P105(f844(f844(f286(x70891),x70892),f844(f844(f3(x70891),x70893),x70894)))
% 202.05/201.93 [7090]~P112(x70901)+~P105(f844(f844(f286(x70901),x70902),x70904))+~P105(f844(f844(f286(x70901),x70902),x70903))+P105(f844(f844(f286(x70901),x70902),f844(f844(f79(x70901),x70903),x70904)))
% 202.05/201.93 [7110]~P63(x71102)+E(x71101,f2(x71102))+E(f844(f844(f290(x71102),f844(f844(f243(x71102),x71101),x71103)),f844(f844(f243(x71102),x71101),x71104)),f844(f844(f243(x71102),x71101),f844(f844(f3(a908),x71103),x71104)))+~P105(f844(f844(f234(a908),x71104),x71103))
% 202.05/201.93 [7157]~P108(x71571)+~P12(x71571,f844(f844(f151(x71571),x71573),x71574))+P12(x71571,f844(f844(f151(x71571),x71572),f844(f844(f151(x71571),x71573),x71574)))+~P105(f844(f844(f234(x71571),x71572),x71573))
% 202.05/201.93 [7193]~P88(x71931)+~P105(f844(f844(f234(x71931),f2(x71931)),x71934))+~P105(f844(f844(f234(x71931),x71932),x71933))+P105(f844(f844(f234(x71931),x71932),f844(f844(f79(x71931),x71933),x71934)))
% 202.05/201.93 [7194]~P88(x71941)+~P105(f844(f844(f234(x71941),f2(x71941)),x71943))+~P105(f844(f844(f234(x71941),x71942),x71944))+P105(f844(f844(f234(x71941),x71942),f844(f844(f79(x71941),x71943),x71944)))
% 202.05/201.93 [7195]~P124(x71951)+~P105(f844(f844(f235(x71951),f2(x71951)),x71953))+~P105(f844(f844(f235(x71951),x71952),x71954))+P105(f844(f844(f235(x71951),x71952),f844(f844(f79(x71951),x71953),x71954)))
% 202.05/201.93 [7196]~P88(x71961)+~P105(f844(f844(f234(x71961),x71962),x71964))+~P105(f844(f844(f235(x71961),f2(x71961)),x71963))+P105(f844(f844(f235(x71961),x71962),f844(f844(f79(x71961),x71963),x71964)))
% 202.05/201.93 [7197]~P88(x71971)+~P105(f844(f844(f234(x71971),f2(x71971)),x71973))+~P105(f844(f844(f235(x71971),x71972),x71974))+P105(f844(f844(f235(x71971),x71972),f844(f844(f79(x71971),x71973),x71974)))
% 202.05/201.93 [7238]~P108(x72381)+P105(f844(f844(f234(x72381),x72382),x72383))+P105(f844(f844(f234(x72381),x72382),x72384))+~P105(f844(f844(f234(x72381),x72382),f844(f844(f233(x72381),x72384),x72383)))
% 202.05/201.93 [7239]~P108(x72391)+P105(f844(f844(f235(x72391),x72392),x72393))+P105(f844(f844(f235(x72391),x72392),x72394))+~P105(f844(f844(f235(x72391),x72392),f844(f844(f233(x72391),x72394),x72393)))
% 202.05/201.93 [7533]~P109(x75332)+~P61(x75331)+~P105(f844(f844(f235(f916(x75331,x75332)),x75333),x75334))+P105(f844(f844(f234(f916(x75331,x75332)),x75333),x75334))
% 202.05/201.93 [7892]~P65(x78921)+~P105(f844(f844(f235(x78921),x78924),f2(x78921)))+~P105(f844(f844(f234(x78921),x78923),f844(f844(f290(x78921),x78922),x78924)))+P105(f844(f844(f234(x78921),x78922),f844(f844(f80(x78921),x78923),x78924)))
% 202.05/201.93 [7893]~P65(x78931)+~P105(f844(f844(f235(x78931),x78934),f2(x78931)))+~P105(f844(f844(f234(x78931),x78933),f844(f844(f80(x78931),x78932),x78934)))+P105(f844(f844(f234(x78931),x78932),f844(f844(f290(x78931),x78933),x78934)))
% 202.05/201.93 [7894]~P65(x78941)+~P105(f844(f844(f235(x78941),x78944),f2(x78941)))+~P105(f844(f844(f235(x78941),x78943),f844(f844(f290(x78941),x78942),x78944)))+P105(f844(f844(f235(x78941),x78942),f844(f844(f80(x78941),x78943),x78944)))
% 202.05/201.93 [7895]~P65(x78951)+~P105(f844(f844(f235(x78951),x78954),f2(x78951)))+~P105(f844(f844(f235(x78951),x78953),f844(f844(f80(x78951),x78952),x78954)))+P105(f844(f844(f235(x78951),x78952),f844(f844(f290(x78951),x78953),x78954)))
% 202.05/201.93 [7998]~P111(x79981)+~P105(f844(f844(f234(x79981),x79982),f2(x79981)))+~P105(f844(f844(f234(x79981),x79984),x79983))+P105(f844(f844(f234(x79981),f844(f844(f80(x79981),x79982),x79983)),f844(f844(f80(x79981),x79982),x79984)))
% 202.05/201.93 [7999]~P125(x79991)+~P105(f844(f844(f235(x79991),x79992),f2(x79991)))+~P105(f844(f844(f234(x79991),x79994),x79993))+P105(f844(f844(f234(x79991),f844(f844(f80(x79991),x79992),x79993)),f844(f844(f80(x79991),x79992),x79994)))
% 202.05/201.93 [8000]~P111(x80001)+~P105(f844(f844(f234(x80001),x80003),f2(x80001)))+~P105(f844(f844(f234(x80001),x80004),x80002))+P105(f844(f844(f234(x80001),f844(f844(f80(x80001),x80002),x80003)),f844(f844(f80(x80001),x80004),x80003)))
% 202.05/201.93 [8001]~P64(x80011)+~P105(f844(f844(f234(x80011),x80013),f2(x80011)))+~P105(f844(f844(f234(x80011),x80014),x80012))+P105(f844(f844(f234(x80011),f844(f844(f290(x80011),x80012),x80013)),f844(f844(f290(x80011),x80014),x80013)))
% 202.05/201.93 [8005]~P125(x80051)+~P105(f844(f844(f235(x80051),x80053),f2(x80051)))+~P105(f844(f844(f235(x80051),x80054),x80052))+P105(f844(f844(f235(x80051),f844(f844(f80(x80051),x80052),x80053)),f844(f844(f80(x80051),x80054),x80053)))
% 202.05/201.93 [8006]~P125(x80061)+~P105(f844(f844(f235(x80061),x80062),f2(x80061)))+~P105(f844(f844(f235(x80061),x80064),x80063))+P105(f844(f844(f235(x80061),f844(f844(f80(x80061),x80062),x80063)),f844(f844(f80(x80061),x80062),x80064)))
% 202.05/201.93 [8007]~P65(x80071)+~P105(f844(f844(f235(x80071),x80073),f2(x80071)))+~P105(f844(f844(f235(x80071),x80074),x80072))+P105(f844(f844(f235(x80071),f844(f844(f290(x80071),x80072),x80073)),f844(f844(f290(x80071),x80074),x80073)))
% 202.05/201.93 [8008]~P124(x80081)+~P105(f844(f844(f235(x80081),f77(x80081)),x80082))+~P105(f844(f844(f234(a908),x80083),x80084))+P105(f844(f844(f234(x80081),f844(f844(f243(x80081),x80082),x80083)),f844(f844(f243(x80081),x80082),x80084)))
% 202.05/201.93 [8009]~P124(x80091)+~P105(f844(f844(f234(x80091),f77(x80091)),x80092))+~P105(f844(f844(f234(a908),x80093),x80094))+P105(f844(f844(f234(x80091),f844(f844(f243(x80091),x80092),x80093)),f844(f844(f243(x80091),x80092),x80094)))
% 202.05/201.93 [8011]~P124(x80111)+~P105(f844(f844(f235(x80111),f77(x80111)),x80112))+~P105(f844(f844(f235(a908),x80113),x80114))+P105(f844(f844(f235(x80111),f844(f844(f243(x80111),x80112),x80113)),f844(f844(f243(x80111),x80112),x80114)))
% 202.05/201.93 [8038]P105(f844(f844(f235(a908),f2(a908)),f844(x80381,x80382)))+~P105(f844(f60(x80383),x80384))+~P105(f844(f844(f328(x80383),x80382),x80384))+~P105(f844(f844(f235(a908),f2(a908)),f844(f844(f11(x80383,a908),x80381),x80384)))
% 202.05/201.93 [8046]~P135(x80461)+~P105(f844(f844(f234(x80461),x80463),x80464))+~P105(f844(f844(f234(x80461),f2(x80461)),x80462))+P105(f844(f844(f234(x80461),f844(f844(f80(x80461),x80462),x80463)),f844(f844(f80(x80461),x80462),x80464)))
% 202.05/201.93 [8047]~P134(x80471)+~P105(f844(f844(f234(x80471),x80473),x80474))+~P105(f844(f844(f234(x80471),f2(x80471)),x80472))+P105(f844(f844(f234(x80471),f844(f844(f80(x80471),x80472),x80473)),f844(f844(f80(x80471),x80472),x80474)))
% 202.05/201.93 [8048]~P125(x80481)+~P105(f844(f844(f235(x80481),f2(x80481)),x80482))+~P105(f844(f844(f234(x80481),x80483),x80484))+P105(f844(f844(f234(x80481),f844(f844(f80(x80481),x80482),x80483)),f844(f844(f80(x80481),x80482),x80484)))
% 202.05/201.93 [8049]~P135(x80491)+~P105(f844(f844(f234(x80491),x80492),x80494))+~P105(f844(f844(f234(x80491),f2(x80491)),x80493))+P105(f844(f844(f234(x80491),f844(f844(f80(x80491),x80492),x80493)),f844(f844(f80(x80491),x80494),x80493)))
% 202.05/201.93 [8050]~P64(x80501)+~P105(f844(f844(f234(x80501),x80502),x80504))+~P105(f844(f844(f234(x80501),f2(x80501)),x80503))+P105(f844(f844(f234(x80501),f844(f844(f290(x80501),x80502),x80503)),f844(f844(f290(x80501),x80504),x80503)))
% 202.05/201.93 [8051]~P124(x80511)+~P105(f844(f844(f234(x80511),x80512),x80514))+~P105(f844(f844(f234(x80511),f2(x80511)),x80512))+P105(f844(f844(f234(x80511),f844(f844(f243(x80511),x80512),x80513)),f844(f844(f243(x80511),x80514),x80513)))
% 202.05/201.93 [8053]~P131(x80531)+~P105(f844(f844(f235(x80531),x80533),x80534))+~P105(f844(f844(f235(x80531),f2(x80531)),x80532))+P105(f844(f844(f235(x80531),f844(f844(f80(x80531),x80532),x80533)),f844(f844(f80(x80531),x80532),x80534)))
% 202.05/201.93 [8054]~P119(x80541)+~P105(f844(f844(f235(x80541),x80543),x80544))+~P105(f844(f844(f235(x80541),f2(x80541)),x80542))+P105(f844(f844(f235(x80541),f844(f844(f80(x80541),x80542),x80543)),f844(f844(f80(x80541),x80542),x80544)))
% 202.05/201.93 [8055]~P125(x80551)+~P105(f844(f844(f235(x80551),x80552),x80554))+~P105(f844(f844(f235(x80551),f2(x80551)),x80553))+P105(f844(f844(f235(x80551),f844(f844(f80(x80551),x80552),x80553)),f844(f844(f80(x80551),x80554),x80553)))
% 202.05/201.93 [8056]~P131(x80561)+~P105(f844(f844(f235(x80561),x80562),x80564))+~P105(f844(f844(f235(x80561),f2(x80561)),x80563))+P105(f844(f844(f235(x80561),f844(f844(f80(x80561),x80562),x80563)),f844(f844(f80(x80561),x80564),x80563)))
% 202.05/201.93 [8057]~P125(x80571)+~P105(f844(f844(f235(x80571),x80573),x80574))+~P105(f844(f844(f235(x80571),f2(x80571)),x80572))+P105(f844(f844(f235(x80571),f844(f844(f80(x80571),x80572),x80573)),f844(f844(f80(x80571),x80572),x80574)))
% 202.05/201.93 [8058]~P65(x80581)+~P105(f844(f844(f235(x80581),x80582),x80584))+~P105(f844(f844(f235(x80581),f2(x80581)),x80583))+P105(f844(f844(f235(x80581),f844(f844(f290(x80581),x80582),x80583)),f844(f844(f290(x80581),x80584),x80583)))
% 202.05/201.93 [8100]~P107(x81002)+P105(f844(f844(f235(f916(x81001,x81002)),x81004),x81003))+~P105(f844(f844(f234(f916(x81001,x81002)),x81004),x81003))+P105(f844(f844(f234(f916(x81001,x81002)),x81003),x81004))
% 202.05/201.93 [8140]P105(f844(f844(f328(x81401),x81402),x81403))+P105(f844(f844(f328(x81401),x81402),x81404))+~P105(f844(f844(f234(f916(x81401,a904)),x81404),x81403))+P105(f844(f844(f235(f916(x81401,a904)),x81404),f844(f844(f308(x81401),x81402),x81403)))
% 202.05/201.93 [8296]P105(f844(f844(f328(x82961),x82962),x82963))+P105(f844(f844(f328(x82961),x82962),x82964))+~P105(f844(f844(f235(f916(x82961,a904)),x82964),f844(f844(f308(x82961),x82962),x82963)))+P105(f844(f844(f234(f916(x82961,a904)),x82964),x82963))
% 202.05/201.93 [8361]~P125(x83611)+P105(f844(f844(f235(x83611),x83613),x83612))+P105(f844(f844(f235(x83611),x83612),x83613))+~P105(f844(f844(f235(x83611),f844(f844(f80(x83611),x83614),x83612)),f844(f844(f80(x83611),x83614),x83613)))
% 202.05/201.93 [8362]~P125(x83621)+P105(f844(f844(f235(x83621),x83623),x83622))+P105(f844(f844(f235(x83621),x83622),x83623))+~P105(f844(f844(f235(x83621),f844(f844(f80(x83621),x83622),x83624)),f844(f844(f80(x83621),x83623),x83624)))
% 202.05/201.93 [8373]~P125(x83731)+P105(f844(f844(f235(x83731),x83734),f2(x83731)))+P105(f844(f844(f235(x83731),x83732),x83733))+~P105(f844(f844(f235(x83731),f844(f844(f80(x83731),x83732),x83734)),f844(f844(f80(x83731),x83733),x83734)))
% 202.05/201.93 [8374]~P125(x83741)+P105(f844(f844(f235(x83741),x83744),f2(x83741)))+P105(f844(f844(f235(x83741),x83742),x83743))+~P105(f844(f844(f235(x83741),f844(f844(f80(x83741),x83744),x83742)),f844(f844(f80(x83741),x83744),x83743)))
% 202.05/201.93 [8377]~P125(x83771)+P105(f844(f844(f235(x83771),x83772),x83773))+P105(f844(f844(f235(x83771),f2(x83771)),x83774))+~P105(f844(f844(f235(x83771),f844(f844(f80(x83771),x83774),x83773)),f844(f844(f80(x83771),x83774),x83772)))
% 202.05/201.93 [8378]~P125(x83781)+P105(f844(f844(f235(x83781),x83782),x83783))+P105(f844(f844(f235(x83781),f2(x83781)),x83784))+~P105(f844(f844(f235(x83781),f844(f844(f80(x83781),x83783),x83784)),f844(f844(f80(x83781),x83782),x83784)))
% 202.05/201.93 [8391]~P125(x83911)+P105(f844(f844(f235(x83911),x83912),f2(x83911)))+P105(f844(f844(f235(x83911),f2(x83911)),x83912))+~P105(f844(f844(f235(x83911),f844(f844(f80(x83911),x83913),x83912)),f844(f844(f80(x83911),x83914),x83912)))
% 202.05/201.93 [8392]~P125(x83921)+P105(f844(f844(f235(x83921),x83922),f2(x83921)))+P105(f844(f844(f235(x83921),f2(x83921)),x83922))+~P105(f844(f844(f235(x83921),f844(f844(f80(x83921),x83922),x83923)),f844(f844(f80(x83921),x83922),x83924)))
% 202.05/201.93 [8421]~P125(x84211)+~P105(f844(f844(f235(x84211),x84214),f2(x84211)))+P105(f844(f844(f234(x84211),x84212),x84213))+~P105(f844(f844(f234(x84211),f844(f844(f80(x84211),x84214),x84213)),f844(f844(f80(x84211),x84214),x84212)))
% 202.05/201.93 [8422]~P125(x84221)+~P105(f844(f844(f235(x84221),x84224),f2(x84221)))+P105(f844(f844(f235(x84221),x84222),x84223))+~P105(f844(f844(f235(x84221),f844(f844(f80(x84221),x84224),x84223)),f844(f844(f80(x84221),x84224),x84222)))
% 202.05/201.93 [8433]~P124(x84333)+~P105(f844(f844(f235(x84333),f77(x84333)),x84334))+P105(f844(f844(f234(a908),x84331),x84332))+~P105(f844(f844(f234(x84333),f844(f844(f243(x84333),x84334),x84331)),f844(f844(f243(x84333),x84334),x84332)))
% 202.05/201.93 [8435]~P124(x84353)+~P105(f844(f844(f235(x84353),f77(x84353)),x84354))+P105(f844(f844(f235(a908),x84351),x84352))+~P105(f844(f844(f235(x84353),f844(f844(f243(x84353),x84354),x84351)),f844(f844(f243(x84353),x84354),x84352)))
% 202.05/201.93 [8445]~P125(x84451)+P105(f844(f844(f234(x84451),x84452),x84453))+~P105(f844(f844(f235(x84451),f2(x84451)),x84454))+~P105(f844(f844(f234(x84451),f844(f844(f80(x84451),x84454),x84452)),f844(f844(f80(x84451),x84454),x84453)))
% 202.05/201.93 [8446]~P131(x84461)+P105(f844(f844(f234(x84461),x84462),x84463))+~P105(f844(f844(f235(x84461),f2(x84461)),x84464))+~P105(f844(f844(f234(x84461),f844(f844(f80(x84461),x84464),x84462)),f844(f844(f80(x84461),x84464),x84463)))
% 202.05/201.93 [8447]~P131(x84471)+P105(f844(f844(f234(x84471),x84472),x84473))+~P105(f844(f844(f235(x84471),f2(x84471)),x84474))+~P105(f844(f844(f234(x84471),f844(f844(f80(x84471),x84472),x84474)),f844(f844(f80(x84471),x84473),x84474)))
% 202.05/201.93 [8448]~P125(x84481)+P105(f844(f844(f235(x84481),x84482),x84483))+~P105(f844(f844(f235(x84481),f2(x84481)),x84484))+~P105(f844(f844(f235(x84481),f844(f844(f80(x84481),x84484),x84482)),f844(f844(f80(x84481),x84484),x84483)))
% 202.05/201.93 [8449]~P131(x84491)+P105(f844(f844(f235(x84491),x84492),x84493))+~P105(f844(f844(f234(x84491),f2(x84491)),x84494))+~P105(f844(f844(f235(x84491),f844(f844(f80(x84491),x84494),x84492)),f844(f844(f80(x84491),x84494),x84493)))
% 202.05/201.93 [8450]~P128(x84501)+P105(f844(f844(f235(x84501),x84502),x84503))+~P105(f844(f844(f234(x84501),f2(x84501)),x84504))+~P105(f844(f844(f235(x84501),f844(f844(f80(x84501),x84504),x84502)),f844(f844(f80(x84501),x84504),x84503)))
% 202.05/201.93 [8451]~P124(x84511)+~P105(f844(f844(f234(x84511),f2(x84511)),x84513))+P105(f844(f844(f235(x84511),x84512),x84513))+~P105(f844(f844(f235(x84511),f844(f844(f243(x84511),x84512),x84514)),f844(f844(f243(x84511),x84513),x84514)))
% 202.05/201.93 [8452]~P131(x84521)+P105(f844(f844(f235(x84521),x84522),x84523))+~P105(f844(f844(f234(x84521),f2(x84521)),x84524))+~P105(f844(f844(f235(x84521),f844(f844(f80(x84521),x84522),x84524)),f844(f844(f80(x84521),x84523),x84524)))
% 202.05/201.93 [8453]~P128(x84531)+P105(f844(f844(f235(x84531),x84532),x84533))+~P105(f844(f844(f234(x84531),f2(x84531)),x84534))+~P105(f844(f844(f235(x84531),f844(f844(f80(x84531),x84532),x84534)),f844(f844(f80(x84531),x84533),x84534)))
% 202.05/201.93 [8496]P105(f844(f844(f328(x84961),x84962),x84963))+~P105(f844(f844(f234(f916(x84961,a904)),x84963),x84964))+~P105(f844(f844(f235(f916(x84961,a904)),x84963),x84964))+P105(f844(f844(f235(f916(x84961,a904)),x84963),f844(f844(f308(x84961),x84962),x84964)))
% 202.05/201.93 [8873]E(f844(f844(f3(a1),f425(x88731,x88732,x88733,x88734)),f420(x88731,x88732,x88733,x88734)),x88734)+~P105(f844(f844(f235(a1),f2(a1)),x88733))+~P105(f844(f844(f234(a1),x88731),x88734))+P105(f844(f844(f234(a1),x88731),f844(f844(f79(a1),x88734),x88733)))
% 202.05/201.93 [8874]E(f844(f844(f3(a1),f449(x88741,x88742,x88743,x88744)),f450(x88741,x88742,x88743,x88744)),x88744)+~P105(f844(f844(f235(a1),f2(a1)),x88743))+~P105(f844(f844(f235(a1),x88741),x88744))+P105(f844(f844(f235(a1),x88741),f844(f844(f79(a1),x88744),x88743)))
% 202.05/201.93 [9024]~E(f844(f844(f164(x90241),x90243),f667(x90244,x90243,x90241,x90242)),f844(f844(f164(x90241),x90244),f667(x90244,x90243,x90241,x90242)))+E(f844(f844(f175(x90241),x90242),x90243),f844(f844(f175(x90241),x90242),x90244))+~P105(f844(f844(f234(a908),x90242),f844(f189(f909(x90241)),x90243)))+~P105(f844(f844(f234(a908),x90242),f844(f189(f909(x90241)),x90244)))
% 202.05/201.93 [9086]~P105(f844(f844(f235(a1),f2(a1)),x90863))+~P105(f844(f844(f234(a1),x90861),x90864))+P105(f844(f844(f328(a1),f425(x90861,x90862,x90863,x90864)),x90862))+P105(f844(f844(f234(a1),x90861),f844(f844(f79(a1),x90864),x90863)))
% 202.05/201.93 [9087]~P105(f844(f844(f235(a1),f2(a1)),x90873))+~P105(f844(f844(f235(a1),x90871),x90874))+P105(f844(f844(f328(a1),f449(x90871,x90872,x90873,x90874)),x90872))+P105(f844(f844(f235(a1),x90871),f844(f844(f79(a1),x90874),x90873)))
% 202.05/201.93 [9127]~P101(x91271)+~P105(f844(f60(x91271),x91273))+~P105(f844(f844(f328(x91271),x91274),x91273))+P105(f844(f844(f234(x91271),f844(f844(f63(x91271,x91271,f101(x91271)),x91272),x91273)),f844(f844(f101(x91271),x91274),x91272)))
% 202.05/201.93 [9128]~P108(x91281)+~P105(f844(f60(x91281),x91283))+~P105(f844(f844(f328(x91281),x91284),x91283))+P105(f844(f844(f234(x91281),f844(f844(f63(x91281,x91281,f232(x91281)),x91282),x91283)),f844(f844(f232(x91281),x91284),x91282)))
% 202.05/201.93 [9172]E(f844(f844(f175(x91721),x91722),x91723),f844(f844(f175(x91721),x91722),x91724))+P105(f844(f844(f235(a908),f667(x91723,x91724,x91721,x91722)),x91722))+~P105(f844(f844(f234(a908),x91722),f844(f189(f909(x91721)),x91723)))+~P105(f844(f844(f234(a908),x91722),f844(f189(f909(x91721)),x91724)))
% 202.05/201.93 [9177]~P105(f844(f844(f235(a1),f2(a1)),x91773))+~P105(f844(f844(f234(a1),x91771),x91772))+P105(f844(f844(f328(a1),f420(x91771,x91774,x91773,x91772)),f302(a1,f77(a1),x91773)))+P105(f844(f844(f234(a1),x91771),f844(f844(f79(a1),x91772),x91773)))
% 202.05/201.93 [9178]~P105(f844(f844(f235(a1),f2(a1)),x91783))+~P105(f844(f844(f235(a1),x91781),x91782))+P105(f844(f844(f328(a1),f450(x91781,x91784,x91783,x91782)),f302(a1,f77(a1),x91783)))+P105(f844(f844(f235(a1),x91781),f844(f844(f79(a1),x91782),x91783)))
% 202.05/201.93 [9498]~P100(x94981)+~P105(f844(f60(x94981),x94984))+P105(f844(f844(f328(x94981),f891(x94982,x94983,x94984,x94981)),x94984))+P105(f844(f844(f234(x94981),f844(f844(f63(x94981,x94981,f110(x94981)),x94982),x94984)),f844(f844(f110(x94981),x94983),x94982)))
% 202.05/201.93 [9499]~P108(x94991)+~P105(f844(f60(x94991),x94994))+P105(f844(f844(f328(x94991),f591(x94992,x94993,x94994,x94991)),x94994))+P105(f844(f844(f234(x94991),f844(f844(f63(x94991,x94991,f233(x94991)),x94992),x94994)),f844(f844(f233(x94991),x94993),x94992)))
% 202.05/201.93 [9624]~P100(x96241)+~P105(f844(f60(x96241),x96243))+~P105(f844(f844(f234(x96241),f891(x96242,x96244,x96243,x96241)),x96244))+P105(f844(f844(f234(x96241),f844(f844(f63(x96241,x96241,f110(x96241)),x96242),x96243)),f844(f844(f110(x96241),x96244),x96242)))
% 202.05/201.93 [9625]~P108(x96251)+~P105(f844(f60(x96251),x96253))+~P105(f844(f844(f234(x96251),f591(x96252,x96254,x96253,x96251)),x96254))+P105(f844(f844(f234(x96251),f844(f844(f63(x96251,x96251,f233(x96251)),x96252),x96253)),f844(f844(f233(x96251),x96254),x96252)))
% 202.05/201.93 [9627]~P105(f844(f844(f234(a1),f2(a1)),x96274))+~P105(f844(f844(f235(a1),f2(a1)),x96273))+~P105(f844(f844(f235(a1),x96274),x96271))+P105(f844(f844(f235(a1),f844(f844(f79(a1),f844(f844(f80(a1),x96271),f44(a1,x96272,x96273))),x96274)),f844(f844(f80(a1),x96271),x96273)))
% 202.05/201.93 [10014]E(x100141,x100142)+P105(f844(f844(f328(f915(f909(x100143),f909(x100143))),f844(f844(f251(f909(x100143),f909(x100143)),x100142),x100141)),f147(x100143,x100144)))+P105(f844(f844(f328(f915(f909(x100143),f909(x100143))),f844(f844(f251(f909(x100143),f909(x100143)),x100141),x100142)),f147(x100143,x100144)))+~P105(f844(f844(f328(f915(x100143,x100143)),f844(f844(f251(x100143,x100143),f635(x100141,x100142,x100144,x100143)),f640(x100141,x100142,x100144,x100143))),x100144))
% 202.05/201.93 [10015]E(x100151,x100152)+P105(f844(f844(f328(f915(f909(x100153),f909(x100153))),f844(f844(f251(f909(x100153),f909(x100153)),x100152),x100151)),f147(x100153,x100154)))+P105(f844(f844(f328(f915(f909(x100153),f909(x100153))),f844(f844(f251(f909(x100153),f909(x100153)),x100151),x100152)),f147(x100153,x100154)))+~P105(f844(f844(f328(f915(x100153,x100153)),f844(f844(f251(x100153,x100153),f640(x100151,x100152,x100154,x100153)),f635(x100151,x100152,x100154,x100153))),x100154))
% 202.05/201.93 [7600]~P100(x76001)+~P105(f844(f844(f234(x76001),x76003),x76004))+~P105(f844(f844(f234(x76001),x76002),x76004))+P105(f844(f844(f234(x76001),f844(f844(f110(x76001),x76002),x76003)),x76004))
% 202.05/201.93 [7603]~P108(x76031)+~P105(f844(f844(f234(x76031),x76033),x76034))+~P105(f844(f844(f234(x76031),x76032),x76034))+P105(f844(f844(f234(x76031),f844(f844(f233(x76031),x76032),x76033)),x76034))
% 202.05/201.93 [7604]~P108(x76041)+~P105(f844(f844(f235(x76041),x76043),x76044))+~P105(f844(f844(f235(x76041),x76042),x76044))+P105(f844(f844(f235(x76041),f844(f844(f233(x76041),x76042),x76043)),x76044))
% 202.05/201.93 [7917]~E(x79171,x79173)+E(f139(a908,f844(f301(a908,x79171),x79172)),f844(f844(f151(a908),x79173),x79174))+~E(f139(a908,f844(f301(a908,f844(f844(f79(a908),x79171),f77(a908))),x79172)),x79174)+~P105(f844(f844(f235(a908),x79171),x79172))
% 202.05/201.93 [7925]~P108(x79251)+P105(f844(f844(f234(x79251),x79252),x79253))+P105(f844(f844(f234(x79251),x79254),x79253))+~P105(f844(f844(f234(x79251),f844(f844(f232(x79251),x79254),x79252)),x79253))
% 202.05/201.93 [7926]~P108(x79261)+P105(f844(f844(f235(x79261),x79262),x79263))+P105(f844(f844(f235(x79261),x79264),x79263))+~P105(f844(f844(f235(x79261),f844(f844(f232(x79261),x79264),x79262)),x79263))
% 202.05/201.93 [8198]~P64(x81981)+~P105(f844(f844(f235(x81981),f2(x81981)),x81983))+~P105(f844(f844(f234(x81981),x81982),f844(f844(f290(x81981),x81984),x81983)))+P105(f844(f844(f234(x81981),f844(f844(f80(x81981),x81982),x81983)),x81984))
% 202.05/201.93 [8199]~P65(x81991)+~P105(f844(f844(f235(x81991),f2(x81991)),x81993))+~P105(f844(f844(f234(x81991),x81992),f844(f844(f290(x81991),x81994),x81993)))+P105(f844(f844(f234(x81991),f844(f844(f80(x81991),x81992),x81993)),x81994))
% 202.05/201.93 [8200]~P64(x82001)+~P105(f844(f844(f235(x82001),f2(x82001)),x82003))+~P105(f844(f844(f234(x82001),x82002),f844(f844(f80(x82001),x82004),x82003)))+P105(f844(f844(f234(x82001),f844(f844(f290(x82001),x82002),x82003)),x82004))
% 202.05/201.93 [8202]~P65(x82021)+~P105(f844(f844(f235(x82021),f2(x82021)),x82023))+~P105(f844(f844(f234(x82021),x82022),f844(f844(f80(x82021),x82024),x82023)))+P105(f844(f844(f234(x82021),f844(f844(f290(x82021),x82022),x82023)),x82024))
% 202.05/201.93 [8203]~P64(x82031)+~P105(f844(f844(f235(x82031),f2(x82031)),x82033))+~P105(f844(f844(f235(x82031),x82032),f844(f844(f290(x82031),x82034),x82033)))+P105(f844(f844(f235(x82031),f844(f844(f80(x82031),x82032),x82033)),x82034))
% 202.05/201.93 [8204]~P65(x82041)+~P105(f844(f844(f235(x82041),f2(x82041)),x82043))+~P105(f844(f844(f235(x82041),x82042),f844(f844(f290(x82041),x82044),x82043)))+P105(f844(f844(f235(x82041),f844(f844(f80(x82041),x82042),x82043)),x82044))
% 202.05/201.93 [8205]~P64(x82051)+~P105(f844(f844(f235(x82051),f2(x82051)),x82053))+~P105(f844(f844(f235(x82051),x82052),f844(f844(f80(x82051),x82054),x82053)))+P105(f844(f844(f235(x82051),f844(f844(f290(x82051),x82052),x82053)),x82054))
% 202.05/201.93 [8207]~P65(x82071)+~P105(f844(f844(f235(x82071),f2(x82071)),x82073))+~P105(f844(f844(f235(x82071),x82072),f844(f844(f80(x82071),x82074),x82073)))+P105(f844(f844(f235(x82071),f844(f844(f290(x82071),x82072),x82073)),x82074))
% 202.05/201.93 [8331]~P64(x83311)+~P105(f844(f844(f235(x83311),f2(x83311)),x83314))+P105(f844(f844(f234(x83311),x83312),f844(f844(f80(x83311),x83313),x83314)))+~P105(f844(f844(f234(x83311),f844(f844(f290(x83311),x83312),x83314)),x83313))
% 202.05/201.93 [8332]~P64(x83321)+~P105(f844(f844(f235(x83321),f2(x83321)),x83324))+P105(f844(f844(f234(x83321),x83322),f844(f844(f290(x83321),x83323),x83324)))+~P105(f844(f844(f234(x83321),f844(f844(f80(x83321),x83322),x83324)),x83323))
% 202.05/201.93 [8334]~P65(x83341)+~P105(f844(f844(f235(x83341),f2(x83341)),x83344))+P105(f844(f844(f234(x83341),x83342),f844(f844(f80(x83341),x83343),x83344)))+~P105(f844(f844(f234(x83341),f844(f844(f290(x83341),x83342),x83344)),x83343))
% 202.05/201.93 [8335]~P65(x83351)+~P105(f844(f844(f235(x83351),f2(x83351)),x83354))+P105(f844(f844(f234(x83351),x83352),f844(f844(f290(x83351),x83353),x83354)))+~P105(f844(f844(f234(x83351),f844(f844(f80(x83351),x83352),x83354)),x83353))
% 202.05/201.93 [8336]~P64(x83361)+~P105(f844(f844(f235(x83361),f2(x83361)),x83364))+P105(f844(f844(f235(x83361),x83362),f844(f844(f80(x83361),x83363),x83364)))+~P105(f844(f844(f235(x83361),f844(f844(f290(x83361),x83362),x83364)),x83363))
% 202.05/201.93 [8337]~P64(x83371)+~P105(f844(f844(f235(x83371),f2(x83371)),x83374))+P105(f844(f844(f235(x83371),x83372),f844(f844(f290(x83371),x83373),x83374)))+~P105(f844(f844(f235(x83371),f844(f844(f80(x83371),x83372),x83374)),x83373))
% 202.05/201.93 [8339]~P65(x83391)+~P105(f844(f844(f235(x83391),f2(x83391)),x83394))+P105(f844(f844(f235(x83391),x83392),f844(f844(f80(x83391),x83393),x83394)))+~P105(f844(f844(f235(x83391),f844(f844(f290(x83391),x83392),x83394)),x83393))
% 202.05/201.93 [8340]~P65(x83401)+~P105(f844(f844(f235(x83401),f2(x83401)),x83404))+P105(f844(f844(f235(x83401),x83402),f844(f844(f290(x83401),x83403),x83404)))+~P105(f844(f844(f235(x83401),f844(f844(f80(x83401),x83402),x83404)),x83403))
% 202.05/201.93 [8499]~P65(x84991)+~P105(f844(f844(f235(x84991),x84993),f2(x84991)))+~P105(f844(f844(f234(x84991),f844(f844(f290(x84991),x84994),x84993)),x84992))+P105(f844(f844(f234(x84991),f844(f844(f80(x84991),x84992),x84993)),x84994))
% 202.05/201.93 [8500]~P65(x85001)+~P105(f844(f844(f235(x85001),x85003),f2(x85001)))+~P105(f844(f844(f234(x85001),f844(f844(f80(x85001),x85004),x85003)),x85002))+P105(f844(f844(f234(x85001),f844(f844(f290(x85001),x85002),x85003)),x85004))
% 202.05/201.93 [8501]~P65(x85011)+~P105(f844(f844(f235(x85011),x85013),f2(x85011)))+~P105(f844(f844(f235(x85011),f844(f844(f290(x85011),x85014),x85013)),x85012))+P105(f844(f844(f235(x85011),f844(f844(f80(x85011),x85012),x85013)),x85014))
% 202.05/201.93 [8502]~P65(x85021)+~P105(f844(f844(f235(x85021),x85023),f2(x85021)))+~P105(f844(f844(f235(x85021),f844(f844(f80(x85021),x85024),x85023)),x85022))+P105(f844(f844(f235(x85021),f844(f844(f290(x85021),x85022),x85023)),x85024))
% 202.05/201.93 [8514]~P105(f844(x85141,x85144))+~P105(f844(f844(f235(a908),x85142),f844(f844(f80(a908),x85143),f844(a112,x85144))))+P105(f844(x85141,f844(f844(f35(a908),x85142),x85143)))+~P105(f844(f844(f234(a908),f844(f844(f80(a908),x85143),x85144)),x85142))
% 202.05/201.93 [8721]~P100(x87211)+~P105(f844(f60(x87211),x87214))+~P105(f844(f844(f328(x87211),x87212),x87214))+P105(f844(f844(f234(x87211),f844(f844(f110(x87211),x87212),x87213)),f844(f844(f63(x87211,x87211,f110(x87211)),x87213),x87214)))
% 202.05/201.93 [8722]~P108(x87221)+~P105(f844(f60(x87221),x87224))+~P105(f844(f844(f328(x87221),x87222),x87224))+P105(f844(f844(f234(x87221),f844(f844(f233(x87221),x87222),x87223)),f844(f844(f63(x87221,x87221,f233(x87221)),x87223),x87224)))
% 202.05/201.93 [8875]~P105(f844(f60(x88751),x88752))+E(f844(f34(x88751),f844(f844(f3(f916(x88751,a904)),x88752),f844(f844(f308(x88751),x88753),x88754))),f844(f844(f3(a908),f844(f34(x88751),f844(f844(f3(f916(x88751,a904)),x88752),x88754))),f77(a908)))+P105(f844(f844(f328(x88751),x88753),x88754))+~P105(f844(f844(f328(x88751),x88753),x88752))
% 202.05/201.93 [8952]E(f844(f844(f79(a1),f441(x89521,x89522,x89523,x89524)),f442(x89521,x89522,x89523,x89524)),x89524)+~P105(f844(f844(f235(a1),f2(a1)),x89523))+~P105(f844(f844(f234(a1),x89524),x89521))+P105(f844(f844(f234(a1),f844(f844(f3(a1),x89524),x89523)),x89521))
% 202.05/201.93 [8953]E(f844(f844(f79(a1),f451(x89531,x89532,x89533,x89534)),f452(x89531,x89532,x89533,x89534)),x89534)+~P105(f844(f844(f235(a1),f2(a1)),x89533))+~P105(f844(f844(f235(a1),x89534),x89531))+P105(f844(f844(f235(a1),f844(f844(f3(a1),x89534),x89533)),x89531))
% 202.05/201.93 [9157]~P105(f844(f844(f235(a1),f2(a1)),x91573))+~P105(f844(f844(f234(a1),x91574),x91571))+P105(f844(f844(f328(a1),f441(x91571,x91572,x91573,x91574)),x91572))+P105(f844(f844(f234(a1),f844(f844(f3(a1),x91574),x91573)),x91571))
% 202.05/201.93 [9158]~P105(f844(f844(f235(a1),f2(a1)),x91583))+~P105(f844(f844(f235(a1),x91584),x91581))+P105(f844(f844(f328(a1),f451(x91581,x91582,x91583,x91584)),x91582))+P105(f844(f844(f235(a1),f844(f844(f3(a1),x91584),x91583)),x91581))
% 202.05/201.93 [9244]~P105(f844(f844(f235(a1),f2(a1)),x92442))+~P105(f844(f844(f234(a1),x92441),x92443))+P105(f844(f844(f328(a1),f442(x92443,x92444,x92442,x92441)),f302(a1,f77(a1),x92442)))+P105(f844(f844(f234(a1),f844(f844(f3(a1),x92441),x92442)),x92443))
% 202.05/201.93 [9245]~P105(f844(f844(f235(a1),f2(a1)),x92452))+~P105(f844(f844(f235(a1),x92451),x92453))+P105(f844(f844(f328(a1),f452(x92453,x92454,x92452,x92451)),f302(a1,f77(a1),x92452)))+P105(f844(f844(f235(a1),f844(f844(f3(a1),x92451),x92452)),x92453))
% 202.05/201.93 [9263]~P105(f844(f844(f234(a1),f2(a1)),x92634))+~P105(f844(f844(f235(a1),f2(a1)),x92633))+~P105(f844(f844(f235(a1),x92634),x92631))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f79(a1),f844(f844(f80(a1),x92631),f44(a1,x92632,x92633))),x92634)))
% 202.05/201.93 [9292]E(x92921,x92922)+~P38(x92923,x92924)+~P105(f844(f844(f328(f915(x92923,x92923)),f844(f844(f251(x92923,x92923),x92922),x92921)),x92924))+~P105(f844(f844(f328(f915(x92923,x92923)),f844(f844(f251(x92923,x92923),x92921),x92922)),x92924))
% 202.05/201.93 [9324]~P101(x93241)+~P105(f844(f60(x93241),x93244))+~P105(f844(f844(f234(x93241),x93242),f859(x93243,x93242,x93244,x93241)))+P105(f844(f844(f234(x93241),f844(f844(f101(x93241),x93242),x93243)),f844(f844(f63(x93241,x93241,f101(x93241)),x93243),x93244)))
% 202.05/201.93 [9325]~P108(x93251)+~P105(f844(f60(x93251),x93254))+~P105(f844(f844(f234(x93251),x93252),f349(x93253,x93252,x93254,x93251)))+P105(f844(f844(f234(x93251),f844(f844(f232(x93251),x93252),x93253)),f844(f844(f63(x93251,x93251,f232(x93251)),x93253),x93254)))
% 202.05/201.93 [9339]~P105(f844(f844(f234(a1),x93394),f2(a1)))+~P105(f844(f844(f235(a1),f2(a1)),x93392))+~P105(f844(f844(f235(a1),x93391),x93394))+P105(f844(f844(f235(a1),f844(f844(f80(a1),x93391),x93392)),f844(f844(f79(a1),f844(f844(f80(a1),x93391),f44(a1,x93393,x93392))),x93394)))
% 202.05/201.93 [9365]P105(f844(f60(x93651),x93652))+~P105(f844(f60(x93651),x93653))+~P105(f844(f844(f328(f916(x93651,a904)),x93652),f844(f844(f59(x93651),x93653),x93654)))+~P105(f844(f844(f234(f916(f915(x93651,x93651),a904)),x93654),f844(f844(f253(x93651,x93651),x93653),f844(f18(f916(x93651,a904),x93651),x93653))))
% 202.05/201.93 [9389]~P101(x93891)+~P105(f844(f60(x93891),x93894))+P105(f844(f844(f328(x93891),f859(x93892,x93893,x93894,x93891)),x93894))+P105(f844(f844(f234(x93891),f844(f844(f101(x93891),x93893),x93892)),f844(f844(f63(x93891,x93891,f101(x93891)),x93892),x93894)))
% 202.05/201.93 [9390]~P108(x93901)+~P105(f844(f60(x93901),x93904))+P105(f844(f844(f328(x93901),f349(x93902,x93903,x93904,x93901)),x93904))+P105(f844(f844(f234(x93901),f844(f844(f232(x93901),x93903),x93902)),f844(f844(f63(x93901,x93901,f232(x93901)),x93902),x93904)))
% 202.05/201.93 [9791]~P105(f844(f60(x97912),x97914))+~P105(f844(f60(x97911),x97913))+~P105(f844(f844(f234(a908),f844(f34(x97912),x97914)),f844(f34(x97911),x97913)))+P105(f844(f844(f234(f916(x97911,a904)),f844(f309(x97912,x97911,f515(x97913,x97911,x97914,x97912)),x97914)),x97913))
% 202.05/201.93 [9439]~P105(f844(f844(f328(x94391),x94392),x94394))+P105(f844(f844(f328(x94391),x94392),x94393))+~P105(f844(f844(f235(f916(x94391,a904)),x94394),f844(f844(f308(x94391),x94392),x94393)))+P105(f844(f844(f235(f916(x94391,a904)),f844(f844(f3(f916(x94391,a904)),x94394),f844(f844(f308(x94391),x94392),f188(f916(x94391,a904))))),x94393))
% 202.05/201.93 [9605]~P105(f844(f844(f328(x96051),x96052),x96054))+P105(f844(f844(f328(x96051),x96052),x96053))+P105(f844(f844(f235(f916(x96051,a904)),x96054),f844(f844(f308(x96051),x96052),x96053)))+~P105(f844(f844(f235(f916(x96051,a904)),f844(f844(f3(f916(x96051,a904)),x96054),f844(f844(f308(x96051),x96052),f188(f916(x96051,a904))))),x96053))
% 202.05/201.93 [9630]P105(f844(f844(f328(x96301),x96302),x96303))+~P105(f844(f844(f234(f916(x96301,a904)),x96304),x96303))+P105(f844(f844(f235(f916(x96301,a904)),x96304),f844(f844(f308(x96301),x96302),x96303)))+~P105(f844(f844(f235(f916(x96301,a904)),f844(f844(f3(f916(x96301,a904)),x96304),f844(f844(f308(x96301),x96302),f188(f916(x96301,a904))))),x96303))
% 202.05/201.93 [9635]~P105(f844(f844(f328(x96351),x96353),x96352))+~P105(f844(f844(f235(f916(x96351,a904)),x96352),x96354))+P105(f844(f844(f235(f916(x96351,a904)),x96352),f844(f844(f308(x96351),x96353),x96354)))+~P105(f844(f844(f235(f916(x96351,a904)),f844(f844(f3(f916(x96351,a904)),x96352),f844(f844(f308(x96351),x96353),f188(f916(x96351,a904))))),x96354))
% 202.05/201.93 [9651]~P105(f844(f844(f234(f916(x96511,a904)),x96512),x96514))+~P105(f844(f844(f235(f916(x96511,a904)),x96512),x96514))+P105(f844(f844(f235(f916(x96511,a904)),x96512),f844(f844(f308(x96511),x96513),x96514)))+~P105(f844(f844(f235(f916(x96511,a904)),f844(f844(f3(f916(x96511,a904)),x96512),f844(f844(f308(x96511),x96513),f188(f916(x96511,a904))))),x96514))
% 202.05/201.93 [9696]~P109(x96962)+~P61(x96961)+~P105(f844(f844(f234(f916(x96961,x96962)),x96963),x96964))+P105(f844(f56(x96961),f844(f844(f20(x96961,x96962,a904),f844(f844(f10(x96962,f916(x96962,a904),x96961),f234(x96962)),x96963)),x96964)))
% 202.05/201.93 [9840]~P109(x98402)+~P61(x98401)+P105(f844(f844(f234(f916(x98401,x98402)),x98403),x98404))+~P105(f844(f56(x98401),f844(f844(f20(x98401,x98402,a904),f844(f844(f10(x98402,f916(x98402,a904),x98401),f234(x98402)),x98403)),x98404)))
% 202.05/201.93 [10005]E(f844(f844(f164(x100051),f844(f844(f164(f909(x100051)),f179(x100051,x100052)),x100053)),x100054),f844(f844(f164(x100051),f844(f844(f164(f909(x100051)),x100052),x100054)),x100053))+~P105(f844(f844(f235(a908),x100053),f844(f189(f909(f909(x100051))),f179(x100051,x100052))))+~P12(a908,f844(f168(a908),f844(f844(f154(f909(x100051),a908),f189(f909(x100051))),x100052)))+~P105(f844(f844(f235(a908),x100054),f844(f189(f909(f909(x100051))),f844(f136(f909(x100051),f844(f844(f10(a908,a904,f909(x100051)),f844(f235(a908),x100053)),f189(f909(x100051)))),x100052))))
% 202.05/201.93 [10027]~P105(f844(f844(f328(f915(a908,a908)),x100274),x100271))+~P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),x100274),x100272)),a70))+~P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),x100271),x100273)),a71))+P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),x100271),f844(f844(f308(f915(a908,a908)),x100272),x100273))),a71))
% 202.05/201.93 [10028]~P105(f844(f844(f328(f915(a908,a908)),x100284),x100281))+~P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),x100284),x100282)),a32))+~P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),x100281),x100283)),a68))+P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),x100281),f844(f844(f308(f915(a908,a908)),x100282),x100283))),a68))
% 202.05/201.93 [9917]~P109(x99172)+~P61(x99171)+~P105(f844(f844(f235(f916(x99171,x99172)),x99173),x99174))+P105(f844(f55(x99171),f844(f844(f10(a904,a904,x99171),a321),f844(f844(f20(x99171,x99172,a904),f844(f844(f10(x99172,f916(x99172,a904),x99171),a324),x99173)),x99174))))
% 202.05/201.93 [10039]~P105(f844(f844(f328(f915(a908,a908)),x100394),x100393))+~P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),x100391),x100394)),a32))+~P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),x100392),x100393)),a33))+P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),f844(f844(f308(f915(a908,a908)),x100391),x100392)),x100393)),a33))
% 202.05/201.93 [10040]~P105(f844(f844(f328(f915(a908,a908)),x100404),x100403))+~P105(f844(f844(f328(f915(f915(a908,a908),f915(a908,a908))),f844(f844(f251(f915(a908,a908),f915(a908,a908)),x100401),x100404)),a70))+~P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),x100402),x100403)),a69))+P105(f844(f844(f328(f915(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904))),f844(f844(f251(f916(f915(a908,a908),a904),f916(f915(a908,a908),a904)),f844(f844(f308(f915(a908,a908)),x100401),x100402)),x100403)),a69))
% 202.05/201.93 [6176]~P6(x61764,x61761)+~P105(f844(f844(x61761,x61762),x61765))+P105(f844(f844(x61761,x61762),x61763))+~P105(f844(f844(x61761,x61765),x61763))
% 202.05/201.93 [6177]~P48(x61774,x61771)+~P105(f844(f844(x61771,x61772),x61775))+P105(f844(f844(x61771,x61772),x61773))+~P105(f844(f844(x61771,x61775),x61773))
% 202.05/201.93 [6178]~P14(x61784,x61781)+~P105(f844(f844(x61781,x61782),x61785))+P105(f844(f844(x61781,x61782),x61783))+~P105(f844(f844(x61781,x61785),x61783))
% 202.05/201.93 [8860]~P6(x88604,x88603)+~P105(f844(x88601,x88605))+P105(f844(x88602,f819(x88602,x88601,x88603,x88604)))+P105(f844(x88601,f818(x88602,x88601,x88603,x88604)))
% 202.05/201.93 [9094]~P6(x90944,x90943)+~P105(f844(x90942,x90945))+~P105(f844(x90941,f818(x90941,x90942,x90943,x90944)))+P105(f844(x90941,f819(x90941,x90942,x90943,x90944)))
% 202.05/201.93 [9276]~P6(x92764,x92763)+~P105(f844(x92761,x92765))+P105(f844(f844(f328(x92764),f819(x92762,x92761,x92763,x92764)),f269(x92764,x92763)))+P105(f844(x92761,f818(x92762,x92761,x92763,x92764)))
% 202.05/201.93 [9396]~P6(x93961,x93964)+~P105(f844(x93963,x93965))+~P105(f844(x93962,f818(x93962,x93963,x93964,x93961)))+P105(f844(f844(f328(x93961),f819(x93962,x93963,x93964,x93961)),f269(x93961,x93964)))
% 202.05/201.93 [9685]~P37(x96851,x96854)+P105(f844(f844(f328(f915(f909(x96851),f909(x96851))),f844(f844(f251(f909(x96851),f909(x96851)),x96852),x96853)),f147(x96851,x96854)))+~P105(f844(f844(f328(f915(f909(x96851),f909(x96851))),f844(f844(f251(f909(x96851),f909(x96851)),x96852),x96855)),f147(x96851,x96854)))+~P105(f844(f844(f328(f915(f909(x96851),f909(x96851))),f844(f844(f251(f909(x96851),f909(x96851)),x96855),x96853)),f147(x96851,x96854)))
% 202.05/201.93 [5411]~P66(x54115)+E(x54111,x54112)+~E(x54113,x54114)+~E(f844(f844(f3(x54115),x54113),x54114),f844(f844(f3(x54115),x54111),x54112))
% 202.05/201.93 [6292]~P16(x62925,x62921,x62923)+E(f844(f844(x62921,x62922),f844(x62923,x62924)),f844(x62923,x62924))+~P105(f844(f60(x62925),x62924))+~P105(f844(f844(f328(x62925),x62922),x62924))
% 202.05/201.93 [6484]~P79(x64841)+~E(f844(f844(f3(x64841),x64844),x64845),f844(f844(f3(x64841),x64842),x64843))+~P105(f844(f844(f234(x64841),x64844),x64845))+P105(f844(f844(f234(x64841),x64842),x64843))
% 202.05/201.93 [6486]~P79(x64861)+~E(f844(f844(f3(x64861),x64864),x64865),f844(f844(f3(x64861),x64862),x64863))+~P105(f844(f844(f235(x64861),x64864),x64865))+P105(f844(f844(f235(x64861),x64862),x64863))
% 202.05/201.93 [7467]~E(x74672,f844(f844(f151(x74671),x74674),x74675))+P105(f844(f844(f328(f909(x74671)),x74672),f161(x74671,x74673)))+~P105(f844(f844(f328(f909(x74671)),x74675),f161(x74671,x74673)))+~P105(f844(f844(f328(x74671),x74674),x74673))
% 202.05/201.93 [7866]~E(f844(f189(f909(x78661)),x78663),f844(f189(f909(x78662)),x78664))+~E(f844(f844(f154(f915(x78661,x78662),x78662),f255(x78661,x78662)),x78665),x78664)+~E(f844(f844(f154(f915(x78661,x78662),x78661),f250(x78661,x78662)),x78665),x78663)+E(f844(f844(f181(x78661,x78662),x78663),x78664),x78665)
% 202.05/201.93 [8194]~P109(x81941)+P105(f844(f844(f235(f916(x81941,a904)),f302(x81941,x81942,x81943)),f302(x81941,x81944,x81945)))+~P105(f844(f844(f234(x81941),x81944),x81945))+P105(f844(f844(f234(x81941),x81942),x81943))
% 202.05/201.93 [8289]~P109(x82891)+P105(f844(f844(f234(f916(x82891,a904)),f302(x82891,x82892,x82893)),f302(x82891,x82894,x82895)))+~P105(f844(f844(f234(x82891),x82893),x82895))+~P105(f844(f844(f234(x82891),x82894),x82892))
% 202.05/201.93 [8407]~P108(x84071)+P105(f844(f844(f234(x84071),x84072),x84073))+P105(f844(f844(f234(x84071),x84074),x84073))+~P105(f844(f844(f234(f916(x84071,a904)),f844(f301(x84071,x84073),x84072)),f844(f301(x84071,x84074),x84075)))
% 202.05/201.93 [8408]~P108(x84081)+P105(f844(f844(f234(x84081),x84082),x84083))+P105(f844(f844(f234(x84081),x84082),x84084))+~P105(f844(f844(f234(f916(x84081,a904)),f844(f301(x84081,x84083),x84082)),f844(f301(x84081,x84085),x84084)))
% 202.05/201.93 [8638]~P109(x86381)+~P105(f844(f844(f234(f916(x86381,a904)),f302(x86381,x86384,x86382)),f302(x86381,x86385,x86383)))+P105(f844(f844(f234(x86381),x86382),x86383))+~P105(f844(f844(f234(x86381),x86384),x86382))
% 202.05/201.93 [8639]~P109(x86391)+~P105(f844(f844(f235(f916(x86391,a904)),f302(x86391,x86394,x86392)),f302(x86391,x86395,x86393)))+P105(f844(f844(f234(x86391),x86392),x86393))+~P105(f844(f844(f234(x86391),x86394),x86392))
% 202.05/201.93 [8640]~P109(x86401)+~P105(f844(f844(f234(f916(x86401,a904)),f302(x86401,x86403,x86404)),f302(x86401,x86402,x86405)))+P105(f844(f844(f234(x86401),x86402),x86403))+~P105(f844(f844(f234(x86401),x86403),x86404))
% 202.05/201.93 [8641]~P109(x86411)+~P105(f844(f844(f235(f916(x86411,a904)),f302(x86411,x86413,x86414)),f302(x86411,x86412,x86415)))+P105(f844(f844(f234(x86411),x86412),x86413))+~P105(f844(f844(f234(x86411),x86413),x86414))
% 202.05/201.93 [6175]~P16(x61752,x61755,x61753)+E(x61751,f188(f916(x61752,a904)))+~P105(f844(f60(x61752),x61751))+E(f844(x61753,f844(f844(f308(x61752),x61754),x61751)),f844(f844(x61755,x61754),f844(x61753,x61751)))
% 202.05/201.93 [6960]~E(x69601,x69602)+~E(f844(f844(f101(f916(x69603,a904)),x69604),x69605),f188(f916(x69603,a904)))+~P105(f844(f844(f328(x69603),x69602),x69605))+~P105(f844(f844(f328(x69603),x69601),x69604))
% 202.05/201.93 [7038]~P17(x70382,x70385,x70381)+~P105(f844(f60(x70382),x70384))+E(f844(x70381,f844(f844(f308(x70382),x70383),x70384)),f844(f844(f63(x70382,x70382,x70385),x70383),x70384))+P105(f844(f844(f328(x70382),x70383),x70384))
% 202.05/201.93 [7106]~P69(x71062)+~P105(f844(f60(x71061),x71065))+E(f844(f844(f8(x71061,x71062),x71063),f844(f844(f308(x71061),x71064),x71065)),f844(f844(f79(x71062),f844(x71063,x71064)),f844(f844(f8(x71061,x71062),x71063),x71065)))+P105(f844(f844(f328(x71061),x71064),x71065))
% 202.05/201.93 [7108]~P74(x71082)+~P105(f844(f60(x71081),x71085))+E(f844(f844(f11(x71081,x71082),x71083),f844(f844(f308(x71081),x71084),x71085)),f844(f844(f80(x71082),f844(x71083,x71084)),f844(f844(f11(x71081,x71082),x71083),x71085)))+P105(f844(f844(f328(x71081),x71084),x71085))
% 202.05/201.93 [7513]~P112(x75131)+~P105(f844(f60(x75134),x75135))+~P105(f844(f844(f328(x75134),x75133),x75135))+P105(f844(f844(f286(x75131),f844(x75132,x75133)),f844(f844(f11(x75134,x75131),x75132),x75135)))
% 202.05/201.93 [7613]~P17(x76132,x76135,x76131)+~P105(f844(f60(x76132),x76134))+E(f844(x76131,f844(f844(f308(x76132),x76133),x76134)),x76133)+~E(f844(f844(f3(f916(x76132,a904)),x76134),f844(f844(f308(x76132),x76133),f188(f916(x76132,a904)))),f188(f916(x76132,a904)))
% 202.05/201.93 [7968]~P100(x79681)+~P105(f844(f844(f234(x79681),x79683),x79685))+~P105(f844(f844(f234(x79681),x79682),x79684))+P105(f844(f844(f234(x79681),f844(f844(f110(x79681),x79682),x79683)),f844(f844(f110(x79681),x79684),x79685)))
% 202.05/201.93 [7969]~P101(x79691)+~P105(f844(f844(f234(x79691),x79693),x79695))+~P105(f844(f844(f234(x79691),x79692),x79694))+P105(f844(f844(f234(x79691),f844(f844(f101(x79691),x79692),x79693)),f844(f844(f101(x79691),x79694),x79695)))
% 202.05/201.93 [7970]~P85(x79701)+~P105(f844(f844(f234(x79701),x79703),x79705))+~P105(f844(f844(f234(x79701),x79702),x79704))+P105(f844(f844(f234(x79701),f844(f844(f79(x79701),x79702),x79703)),f844(f844(f79(x79701),x79704),x79705)))
% 202.05/201.93 [7971]~P108(x79711)+~P105(f844(f844(f234(x79711),x79713),x79715))+~P105(f844(f844(f234(x79711),x79712),x79714))+P105(f844(f844(f234(x79711),f844(f844(f232(x79711),x79712),x79713)),f844(f844(f232(x79711),x79714),x79715)))
% 202.05/201.93 [7972]~P108(x79721)+~P105(f844(f844(f234(x79721),x79723),x79725))+~P105(f844(f844(f234(x79721),x79722),x79724))+P105(f844(f844(f234(x79721),f844(f844(f233(x79721),x79722),x79723)),f844(f844(f233(x79721),x79724),x79725)))
% 202.05/201.93 [7973]~P83(x79731)+~P105(f844(f844(f234(x79731),x79733),x79735))+~P105(f844(f844(f235(x79731),x79732),x79734))+P105(f844(f844(f235(x79731),f844(f844(f79(x79731),x79732),x79733)),f844(f844(f79(x79731),x79734),x79735)))
% 202.05/201.93 [7974]~P83(x79741)+~P105(f844(f844(f234(x79741),x79742),x79744))+~P105(f844(f844(f235(x79741),x79743),x79745))+P105(f844(f844(f235(x79741),f844(f844(f79(x79741),x79742),x79743)),f844(f844(f79(x79741),x79744),x79745)))
% 202.05/201.93 [7975]~P83(x79751)+~P105(f844(f844(f235(x79751),x79753),x79755))+~P105(f844(f844(f235(x79751),x79752),x79754))+P105(f844(f844(f235(x79751),f844(f844(f79(x79751),x79752),x79753)),f844(f844(f79(x79751),x79754),x79755)))
% 202.05/201.93 [8110]~P137(x81105)+E(x81101,x81102)+E(x81103,x81104)+~E(f844(f844(f79(x81105),f844(f844(f80(x81105),x81103),x81101)),f844(f844(f80(x81105),x81104),x81102)),f844(f844(f79(x81105),f844(f844(f80(x81105),x81103),x81102)),f844(f844(f80(x81105),x81104),x81101)))
% 202.05/201.93 [8309]~P108(x83094)+~P105(f844(f137(x83091),x83093))+P105(f844(f844(f328(x83091),x83092),f844(f172(x83091),x83093)))+P105(f844(f137(x83091),f844(f844(f148(x83091,x83094,x83095),x83092),x83093)))
% 202.05/201.93 [8454]~P66(x84541)+E(f844(f844(f3(x84541),f844(f844(f8(a908,x84541),x84542),f844(f301(a908,x84543),x84544))),f844(f844(f8(a908,x84541),x84542),f844(f301(a908,x84543),x84545))),f844(f844(f8(a908,x84541),x84542),f844(f301(a908,x84545),x84544)))+~P105(f844(f844(f234(a908),x84545),x84544))+~P105(f844(f844(f234(a908),x84543),x84545))
% 202.05/201.93 [8455]~P69(x84551)+E(f844(f844(f79(x84551),f844(f844(f8(a908,x84551),x84552),f844(f301(a908,x84553),x84554))),f844(f844(f8(a908,x84551),x84552),f844(f301(a908,x84554),x84555))),f844(f844(f8(a908,x84551),x84552),f844(f301(a908,x84553),x84555)))+~P105(f844(f844(f234(a908),x84554),x84555))+~P105(f844(f844(f234(a908),x84553),x84554))
% 202.05/201.93 [8781]~P63(x87812)+E(x87811,f2(x87812))+E(x87813,f2(x87812))+E(f844(f844(f290(x87812),f844(f844(f3(x87812),f844(f844(f80(x87812),x87814),x87811)),f844(f844(f80(x87812),x87815),x87813))),f844(f844(f80(x87812),x87813),x87811)),f844(f844(f3(x87812),f844(f844(f290(x87812),x87814),x87813)),f844(f844(f290(x87812),x87815),x87811)))
% 202.05/201.93 [8782]~P63(x87822)+E(x87821,f2(x87822))+E(x87823,f2(x87822))+E(f844(f844(f290(x87822),f844(f844(f79(x87822),f844(f844(f80(x87822),x87824),x87821)),f844(f844(f80(x87822),x87825),x87823))),f844(f844(f80(x87822),x87823),x87821)),f844(f844(f79(x87822),f844(f844(f290(x87822),x87824),x87823)),f844(f844(f290(x87822),x87825),x87821)))
% 202.05/201.93 [8791]~E(x87912,f844(x87913,x87911))+E(x87911,f510(x87912,x87913,x87914,x87915))+~P24(x87915,x87914,x87913,f241(f916(x87915,a904)))+~P105(f844(f844(f328(x87914),x87912),f844(f309(x87915,x87914,x87913),f241(f916(x87915,a904)))))
% 202.05/201.93 [9008]~P118(x90081)+~P105(f844(f844(f235(x90081),f844(f75(x90081),x90082)),x90084))+P105(f844(f844(f235(x90081),f844(f844(f80(x90081),f844(f75(x90081),x90082)),f844(f75(x90081),x90083))),f844(f844(f80(x90081),x90084),x90085)))+~P105(f844(f844(f235(x90081),f844(f75(x90081),x90083)),x90085))
% 202.05/201.93 [9119]~P24(x91191,x91193,x91195,x91192)+~P105(f844(f60(x91193),x91194))+P105(f844(f844(f234(a908),f844(f34(x91191),x91192)),f844(f34(x91193),x91194)))+~P105(f844(f844(f234(f916(x91193,a904)),f844(f309(x91191,x91193,x91195),x91192)),x91194))
% 202.05/201.93 [9186]~P69(x91862)+~P24(x91861,x91861,x91864,x91865)+~P105(f844(f60(x91861),x91865))+E(f844(f844(f8(x91861,x91862),f844(f72(x91861,x91862,x91861,x91863),x91864)),x91865),f844(f844(f8(x91861,x91862),x91863),f844(f309(x91861,x91861,x91864),x91865)))
% 202.05/201.93 [9187]~P74(x91872)+~P24(x91871,x91871,x91874,x91875)+~P105(f844(f60(x91871),x91875))+E(f844(f844(f11(x91871,x91872),f844(f72(x91871,x91872,x91871,x91873),x91874)),x91875),f844(f844(f11(x91871,x91872),x91873),f844(f309(x91871,x91871,x91874),x91875)))
% 202.05/201.93 [9304]~P36(x93041,x93042)+~P105(f844(f844(f328(x93041),x93043),x93044))+~P105(f844(f844(f328(x93041),x93045),x93044))+~P105(f844(f844(f328(f915(x93041,x93041)),f844(f844(f251(x93041,x93041),x93045),f601(x93042,x93041,x93044))),x93042))
% 202.05/201.93 [9338]~P24(x93382,x93383,x93385,x93381)+E(x93381,f188(f916(x93382,a904)))+E(f844(f309(x93383,x93382,f512(x93384,x93383,x93382,x93381)),x93384),x93381)+~P105(f844(f844(f234(f916(x93383,a904)),f844(f309(x93382,x93383,x93385),x93381)),x93384))
% 202.05/201.93 [9821]~P108(x98215)+~P4(x98215)+P105(f844(f844(f328(x98211),f457(x98212,x98213,x98211,x98214,x98215)),x98213))+~P105(f844(f844(f235(x98215),x98214),f844(f844(f39(x98211,x98215),x98213),x98212)))
% 202.05/201.93 [9826]~P108(x98261)+~P4(x98261)+P105(f844(f844(f235(x98261),x98262),f844(x98263,f457(x98263,x98264,x98265,x98262,x98261))))+~P105(f844(f844(f235(x98261),x98262),f844(f844(f39(x98265,x98261),x98264),x98263)))
% 202.05/201.93 [9904]~P67(x99041)+~P105(f844(f65(x99041,x99041,f80(x99041),x99042,x99043),x99045))+P105(f844(f844(f328(x99041),x99042),x99043))+P105(f844(f65(x99041,x99041,f80(x99041),x99044,f844(f844(f308(x99041),x99042),x99043)),f844(f844(f80(x99041),x99044),x99045)))
% 202.05/201.93 [10118]~P69(x101182)+~P105(f844(f60(x101181),x101185))+E(f844(f844(f8(x101181,x101182),f844(f844(f9(x101181,x101182,x101182),f844(f844(f20(x101181,x101182,f916(x101182,x101182)),f844(f844(f10(a904,f916(x101182,f916(x101182,x101182)),x101181),f96(x101182)),f844(a324,x101183))),x101184)),f2(x101182))),x101185),f2(x101182))+P105(f844(f844(f328(x101181),x101183),x101185))
% 202.05/201.93 [10119]~P74(x101192)+~P105(f844(f60(x101191),x101195))+E(f844(f844(f11(x101191,x101192),f844(f844(f9(x101191,x101192,x101192),f844(f844(f20(x101191,x101192,f916(x101192,x101192)),f844(f844(f10(a904,f916(x101192,f916(x101192,x101192)),x101191),f96(x101192)),f844(a324,x101193))),x101194)),f77(x101192))),x101195),f77(x101192))+P105(f844(f844(f328(x101191),x101193),x101195))
% 202.05/201.93 [10120]~P69(x101202)+~P105(f844(f60(x101201),x101205))+E(f844(f844(f8(x101201,x101202),f844(f844(f9(x101201,x101202,x101202),f844(f844(f20(x101201,x101202,f916(x101202,x101202)),f844(f844(f10(a904,f916(x101202,f916(x101202,x101202)),x101201),f96(x101202)),f844(a324,x101203))),x101204)),f2(x101202))),x101205),f844(x101204,x101203))+~P105(f844(f844(f328(x101201),x101203),x101205))
% 202.05/201.93 [10121]~P74(x101212)+~P105(f844(f60(x101211),x101215))+E(f844(f844(f11(x101211,x101212),f844(f844(f9(x101211,x101212,x101212),f844(f844(f20(x101211,x101212,f916(x101212,x101212)),f844(f844(f10(a904,f916(x101212,f916(x101212,x101212)),x101211),f96(x101212)),f844(a324,x101213))),x101214)),f77(x101212))),x101215),f844(x101214,x101213))+~P105(f844(f844(f328(x101211),x101213),x101215))
% 202.05/201.93 [10178]~P69(x101782)+~P105(f844(f60(x101781),x101785))+E(f844(f844(f8(x101781,x101782),f844(f844(f9(x101781,x101782,x101782),f844(f844(f20(x101781,x101782,f916(x101782,x101782)),f844(f844(f10(a904,f916(x101782,f916(x101782,x101782)),x101781),f96(x101782)),f844(f844(f9(x101781,x101781,a904),a324),x101783))),x101784)),f2(x101782))),x101785),f2(x101782))+P105(f844(f844(f328(x101781),x101783),x101785))
% 202.05/201.93 [10179]~P74(x101792)+~P105(f844(f60(x101791),x101795))+E(f844(f844(f11(x101791,x101792),f844(f844(f9(x101791,x101792,x101792),f844(f844(f20(x101791,x101792,f916(x101792,x101792)),f844(f844(f10(a904,f916(x101792,f916(x101792,x101792)),x101791),f96(x101792)),f844(f844(f9(x101791,x101791,a904),a324),x101793))),x101794)),f77(x101792))),x101795),f77(x101792))+P105(f844(f844(f328(x101791),x101793),x101795))
% 202.05/201.93 [10181]~P69(x101812)+~P105(f844(f60(x101811),x101815))+E(f844(f844(f8(x101811,x101812),f844(f844(f9(x101811,x101812,x101812),f844(f844(f20(x101811,x101812,f916(x101812,x101812)),f844(f844(f10(a904,f916(x101812,f916(x101812,x101812)),x101811),f96(x101812)),f844(f844(f9(x101811,x101811,a904),a324),x101813))),x101814)),f2(x101812))),x101815),f844(x101814,x101813))+~P105(f844(f844(f328(x101811),x101813),x101815))
% 202.05/201.93 [10182]~P74(x101822)+~P105(f844(f60(x101821),x101825))+E(f844(f844(f11(x101821,x101822),f844(f844(f9(x101821,x101822,x101822),f844(f844(f20(x101821,x101822,f916(x101822,x101822)),f844(f844(f10(a904,f916(x101822,f916(x101822,x101822)),x101821),f96(x101822)),f844(f844(f9(x101821,x101821,a904),a324),x101823))),x101824)),f77(x101822))),x101825),f844(x101824,x101823))+~P105(f844(f844(f328(x101821),x101823),x101825))
% 202.05/201.93 [7967]~P66(x79672)+~P105(f844(f60(x79671),x79674))+E(f844(f844(f8(x79671,x79672),x79673),f844(f844(f3(f916(x79671,a904)),x79674),f844(f844(f308(x79671),x79675),f188(f916(x79671,a904))))),f844(f844(f8(x79671,x79672),x79673),x79674))+P105(f844(f844(f328(x79671),x79675),x79674))
% 202.05/201.93 [8462]~P110(x84622)+~P105(f844(f60(x84621),x84624))+E(f844(f844(f8(x84621,x84622),x84623),f844(f844(f3(f916(x84621,a904)),x84624),f844(f844(f308(x84621),x84625),f188(f916(x84621,a904))))),f844(f844(f3(x84622),f844(f844(f8(x84621,x84622),x84623),x84624)),f844(x84623,x84625)))+~P105(f844(f844(f328(x84621),x84625),x84624))
% 202.05/201.93 [8463]~P66(x84632)+~P105(f844(f60(x84631),x84634))+E(f844(f844(f8(x84631,x84632),x84633),f844(f844(f3(f916(x84631,a904)),x84634),f844(f844(f308(x84631),x84635),f188(f916(x84631,a904))))),f844(f844(f3(x84632),f844(f844(f8(x84631,x84632),x84633),x84634)),f844(x84633,x84635)))+~P105(f844(f844(f328(x84631),x84635),x84634))
% 202.05/201.93 [8492]~P66(x84921)+~P105(f844(f60(x84922),x84924))+E(f844(f844(f3(x84921),f844(f844(f8(x84922,x84921),x84923),x84924)),f844(f844(f8(x84922,x84921),x84923),x84925)),f844(f844(f8(x84922,x84921),x84923),f844(f844(f3(f916(x84922,a904)),x84924),x84925)))+~P105(f844(f844(f234(f916(x84922,a904)),x84925),x84924))
% 202.05/201.93 [8511]P105(f844(f60(x85111),f844(x85112,x85113)))+~P105(f844(f60(x85114),x85115))+~P105(f844(f844(f328(x85114),x85113),x85115))+~P105(f844(f60(x85111),f844(f844(f39(x85114,f916(x85111,a904)),x85115),x85112)))
% 202.05/201.93 [8964]~P7(x89641,x89645,x89644)+~E(f844(f284(x89641,x89641,x89644),f844(f844(f308(x89641),x89642),f188(f916(x89641,a904)))),f844(f284(x89641,x89641,x89644),f844(f844(f308(x89641),x89643),f188(f916(x89641,a904)))))+~P105(f844(f844(f328(x89641),x89643),x89645))+P105(f844(f844(f328(f915(x89641,x89641)),f844(f844(f251(x89641,x89641),x89642),x89643)),x89644))
% 202.05/201.93 [9261]~P105(f844(x92611,x92615))+P105(f844(x92611,f775(x92611,x92612,x92613,x92614)))+P105(f844(x92611,f669(x92611,x92612,x92613,x92614)))+~P105(f844(f844(f328(x92614),x92615),f844(f844(f110(f916(x92614,a904)),x92613),x92612)))
% 202.05/201.93 [9444]~P105(f844(x94441,x94445))+P105(f844(x94441,f669(x94441,x94442,x94443,x94444)))+P105(f844(f844(f328(x94444),f775(x94441,x94442,x94443,x94444)),x94442))+~P105(f844(f844(f328(x94444),x94445),f844(f844(f110(f916(x94444,a904)),x94443),x94442)))
% 202.05/201.93 [9445]~P105(f844(x94451,x94455))+P105(f844(x94451,f775(x94451,x94452,x94453,x94454)))+P105(f844(f844(f328(x94454),f669(x94451,x94452,x94453,x94454)),x94453))+~P105(f844(f844(f328(x94454),x94455),f844(f844(f110(f916(x94454,a904)),x94453),x94452)))
% 202.05/201.93 [9449]P105(f844(x94491,x94492))+~P105(f844(x94491,f895(x94491,x94493,x94494,x94495)))+~P105(f844(x94491,f881(x94491,x94493,x94494,x94495)))+~P105(f844(f844(f328(x94495),x94492),f844(f844(f110(f916(x94495,a904)),x94494),x94493)))
% 202.05/201.93 [9454]~P37(x94541,x94544)+~P105(f844(f844(f328(f915(x94541,x94541)),f844(f844(f251(x94541,x94541),x94542),x94545)),x94544))+P105(f844(f844(f328(f915(x94541,x94541)),f844(f844(f251(x94541,x94541),x94542),x94543)),x94544))+~P105(f844(f844(f328(f915(x94541,x94541)),f844(f844(f251(x94541,x94541),x94545),x94543)),x94544))
% 202.05/201.93 [9493]E(x94931,x94932)+~P105(f844(f844(f328(f915(x94933,x94933)),f844(f844(f251(x94933,x94933),x94931),x94932)),f306(x94933,x94935)))+P105(f844(f844(f328(x94933),x94931),x94934))+~P105(f844(f844(f234(f916(f915(x94933,x94933),a904)),x94935),f844(f844(f253(x94933,x94933),x94934),f844(f18(f916(x94933,a904),x94933),x94934))))
% 202.05/201.93 [9511]P105(f844(x95111,x95112))+~P105(f844(x95111,f881(x95111,x95114,x95115,x95113)))+P105(f844(f844(f328(x95113),f895(x95111,x95114,x95115,x95113)),x95114))+~P105(f844(f844(f328(x95113),x95112),f844(f844(f110(f916(x95113,a904)),x95115),x95114)))
% 202.05/201.93 [9512]P105(f844(x95121,x95122))+~P105(f844(x95121,f895(x95121,x95124,x95125,x95123)))+P105(f844(f844(f328(x95123),f881(x95121,x95124,x95125,x95123)),x95125))+~P105(f844(f844(f328(x95123),x95122),f844(f844(f110(f916(x95123,a904)),x95125),x95124)))
% 202.05/201.93 [9577]P105(f844(x95771,x95772))+P105(f844(f844(f328(x95773),f895(x95771,x95774,x95775,x95773)),x95774))+P105(f844(f844(f328(x95773),f881(x95771,x95774,x95775,x95773)),x95775))+~P105(f844(f844(f328(x95773),x95772),f844(f844(f110(f916(x95773,a904)),x95775),x95774)))
% 202.05/201.93 [9579]~P105(f844(x95792,x95795))+P105(f844(f844(f328(x95791),f775(x95792,x95793,x95794,x95791)),x95793))+P105(f844(f844(f328(x95791),f669(x95792,x95793,x95794,x95791)),x95794))+~P105(f844(f844(f328(x95791),x95795),f844(f844(f110(f916(x95791,a904)),x95794),x95793)))
% 202.05/201.93 [9727]~P7(x97271,x97275,x97274)+~P105(f844(f844(f328(x97271),x97273),x97275))+P105(f844(f844(f328(f915(x97271,x97271)),f844(f844(f251(x97271,x97271),x97272),x97273)),x97274))+~P105(f844(f844(f234(f916(x97271,a904)),f844(f284(x97271,x97271,x97274),f844(f844(f308(x97271),x97273),f188(f916(x97271,a904))))),f844(f284(x97271,x97271,x97274),f844(f844(f308(x97271),x97272),f188(f916(x97271,a904))))))
% 202.05/201.93 [9855]~P108(x98555)+~P4(x98555)+P105(f844(f844(f328(x98551),f414(x98552,x98553,x98554,x98551,x98555)),x98554))+~P105(f844(f844(f235(x98555),f844(f844(f38(x98551,x98555),x98554),x98553)),x98552))
% 202.05/201.93 [9887]~P85(x98875)+~P82(x98875)+P105(f844(f844(f328(x98871),f684(x98872,x98873,x98874,x98871,x98875)),f844(f172(x98871),x98874)))+P105(f844(f844(f234(x98875),f844(f165(x98875),f844(f844(f154(x98871,x98875),x98873),x98874))),f844(f165(x98875),f844(f844(f154(x98871,x98875),x98872),x98874))))
% 202.05/201.93 [9995]~P108(x99951)+~P4(x99951)+P105(f844(f844(f235(x99951),f844(x99952,f414(x99953,x99952,x99954,x99955,x99951))),x99953))+~P105(f844(f844(f235(x99951),f844(f844(f38(x99955,x99951),x99954),x99952)),x99953))
% 202.05/201.93 [10136]~P85(x101361)+~P82(x101361)+~P105(f844(f844(f234(x101361),f844(x101363,f684(x101365,x101363,x101364,x101362,x101361))),f844(x101365,f684(x101365,x101363,x101364,x101362,x101361))))+P105(f844(f844(f234(x101361),f844(f165(x101361),f844(f844(f154(x101362,x101361),x101363),x101364))),f844(f165(x101361),f844(f844(f154(x101362,x101361),x101365),x101364))))
% 202.05/201.93 [8804]~P69(x88041)+~P105(f844(f60(x88044),x88045))+~P105(f844(f844(f328(x88044),x88043),x88045))+E(f844(f844(f79(x88041),f844(x88042,x88043)),f844(f844(f8(x88044,x88041),x88042),f844(f844(f3(f916(x88044,a904)),x88045),f844(f844(f308(x88044),x88043),f188(f916(x88044,a904)))))),f844(f844(f8(x88044,x88041),x88042),x88045))
% 202.05/201.93 [8805]~P74(x88051)+~P105(f844(f60(x88054),x88055))+~P105(f844(f844(f328(x88054),x88053),x88055))+E(f844(f844(f80(x88051),f844(x88052,x88053)),f844(f844(f11(x88054,x88051),x88052),f844(f844(f3(f916(x88054,a904)),x88055),f844(f844(f308(x88054),x88053),f188(f916(x88054,a904)))))),f844(f844(f11(x88054,x88051),x88052),x88055))
% 202.05/201.93 [8865]~P17(x88651,x88654,x88655)+~P105(f844(f60(x88651),x88652))+E(f844(f844(f3(f916(x88651,a904)),x88652),f844(f844(f308(x88651),x88653),f188(f916(x88651,a904)))),f188(f916(x88651,a904)))+E(f844(f844(x88654,x88653),f844(x88655,f844(f844(f3(f916(x88651,a904)),x88652),f844(f844(f308(x88651),x88653),f188(f916(x88651,a904)))))),f844(x88655,f844(f844(f308(x88651),x88653),x88652)))
% 202.05/201.93 [9240]~P74(x92401)+~P105(f844(f60(x92402),x92405))+~P105(f844(f60(x92402),x92404))+E(f844(f844(f80(x92401),f844(f844(f11(x92402,x92401),x92403),f844(f844(f110(f916(x92402,a904)),x92404),x92405))),f844(f844(f11(x92402,x92401),x92403),f844(f844(f101(f916(x92402,a904)),x92404),x92405))),f844(f844(f80(x92401),f844(f844(f11(x92402,x92401),x92403),x92404)),f844(f844(f11(x92402,x92401),x92403),x92405)))
% 202.05/201.93 [9241]~P69(x92411)+~P105(f844(f60(x92412),x92415))+~P105(f844(f60(x92412),x92414))+E(f844(f844(f79(x92411),f844(f844(f8(x92412,x92411),x92413),f844(f844(f110(f916(x92412,a904)),x92414),x92415))),f844(f844(f8(x92412,x92411),x92413),f844(f844(f101(f916(x92412,a904)),x92414),x92415))),f844(f844(f79(x92411),f844(f844(f8(x92412,x92411),x92413),x92414)),f844(f844(f8(x92412,x92411),x92413),x92415)))
% 202.05/201.93 [9378]~P66(x93781)+~P105(f844(f60(x93782),x93785))+~P105(f844(f60(x93782),x93784))+E(f844(f844(f3(x93781),f844(f844(f79(x93781),f844(f844(f8(x93782,x93781),x93783),x93784)),f844(f844(f8(x93782,x93781),x93783),x93785))),f844(f844(f8(x93782,x93781),x93783),f844(f844(f101(f916(x93782,a904)),x93784),x93785))),f844(f844(f8(x93782,x93781),x93783),f844(f844(f110(f916(x93782,a904)),x93784),x93785)))
% 202.05/201.93 [9589]~P24(x95891,x95892,x95893,x95895)+~P24(x95891,x95892,x95893,x95894)+P24(x95891,x95892,x95893,f844(f844(f110(f916(x95891,a904)),x95894),x95895))+~E(f844(f844(f101(f916(x95892,a904)),f844(f309(x95891,x95892,x95893),f844(f844(f3(f916(x95891,a904)),x95894),x95895))),f844(f309(x95891,x95892,x95893),f844(f844(f3(f916(x95891,a904)),x95895),x95894))),f188(f916(x95892,a904)))
% 202.05/201.93 [9702]E(x97021,f2(a1))+~P105(f844(f844(f235(a1),f2(a1)),x97023))+~P105(f844(f48(x97022,x97021),f844(f844(f251(a1,a1),x97024),x97025)))+P105(f844(f48(x97022,f844(f844(f80(a1),x97021),x97023)),f844(f844(f251(a1,a1),f844(f844(f35(a1),x97024),x97023)),f844(f844(f79(a1),f844(f844(f80(a1),x97021),f44(a1,x97024,x97023))),x97025))))
% 202.05/201.93 [9710]~P105(f844(f844(f235(a908),f2(a908)),x97103))+~P105(f844(f844(f235(a908),f2(a908)),x97102))+~P105(f844(f47(x97101,x97102),f844(f844(f251(a908,a908),x97104),x97105)))+P105(f844(f47(x97101,f844(f844(f80(a908),x97102),x97103)),f844(f844(f251(a908,a908),f844(f844(f35(a908),x97104),x97103)),f844(f844(f79(a908),f844(f844(f80(a908),x97102),f44(a908,x97104,x97103))),x97105))))
% 202.05/201.93 [9759]~P74(x97591)+~P105(f844(f60(x97592),x97595))+~P105(f844(f60(x97592),x97594))+E(f844(f844(f80(x97591),f844(f844(f844(f64(x97591,x97592,f80(x97591)),x97593),f77(x97591)),f844(f844(f110(f916(x97592,a904)),x97594),x97595))),f844(f844(f844(f64(x97591,x97592,f80(x97591)),x97593),f77(x97591)),f844(f844(f101(f916(x97592,a904)),x97594),x97595))),f844(f844(f80(x97591),f844(f844(f844(f64(x97591,x97592,f80(x97591)),x97593),f77(x97591)),x97594)),f844(f844(f844(f64(x97591,x97592,f80(x97591)),x97593),f77(x97591)),x97595)))
% 202.05/201.93 [9761]~E(f844(f844(f175(x97611),x97615),x97612),f844(f844(f175(x97611),x97615),x97613))+P105(f844(f844(f328(f915(f909(x97611),f909(x97611))),f844(f844(f251(f909(x97611),f909(x97611)),x97612),x97613)),f147(x97611,x97614)))+~P105(f844(f844(f235(a908),x97615),f844(f844(f232(a908),f844(f189(f909(x97611)),x97612)),f844(f189(f909(x97611)),x97613))))+~P105(f844(f844(f328(f915(x97611,x97611)),f844(f844(f251(x97611,x97611),f844(f844(f164(x97611),x97612),x97615)),f844(f844(f164(x97611),x97613),x97615))),x97614))
% 202.05/201.93 [9876]~P85(x98765)+~P143(x98765)+P105(f844(f844(f328(x98761),f346(x98762,x98763,x98764,x98761,x98765)),x98764))+P105(f844(f844(f234(x98765),f844(f844(f8(x98761,x98765),x98763),x98764)),f844(f844(f80(x98765),f844(f100(x98765),f844(f34(x98761),x98764))),x98762)))
% 202.05/201.93 [10053]~P85(x100531)+~P143(x100531)+~P105(f844(f844(f234(x100531),f844(x100533,f346(x100535,x100533,x100534,x100532,x100531))),x100535))+P105(f844(f844(f234(x100531),f844(f844(f8(x100532,x100531),x100533),x100534)),f844(f844(f80(x100531),f844(f100(x100531),f844(f34(x100532),x100534))),x100535)))
% 202.05/201.93 [8833]E(f844(f844(f134(x88331),x88332),x88333),f844(f844(f134(x88331),x88334),x88335))+~E(f844(f844(f175(x88331),f844(f189(f909(x88331)),x88332)),x88334),x88332)+~E(f844(f844(f134(x88331),f844(f844(f138(x88331),f844(f189(f909(x88331)),x88332)),x88334)),x88335),x88333)+P105(f844(f844(f234(a908),f844(f189(f909(x88331)),x88334)),f844(f189(f909(x88331)),x88332)))
% 202.05/201.93 [8963]E(f844(f844(f134(x89631),x89632),x89633),f844(f844(f134(x89631),x89634),x89635))+~E(f844(f844(f175(x89631),f844(f189(f909(x89631)),x89632)),x89634),x89632)+~E(x89633,f844(f844(f134(x89631),f844(f844(f138(x89631),f844(f189(f909(x89631)),x89632)),x89634)),x89635))+~P105(f844(f844(f234(a908),f844(f189(f909(x89631)),x89632)),f844(f189(f909(x89631)),x89634)))
% 202.05/201.93 [10199]~P105(f844(x101995,x101994))+~P105(f844(f60(x101992),f844(f261(x101992),x101995)))+P105(f844(f60(x101991),f844(f261(x101991),f844(f844(f9(x101991,x101992,a904),x101993),x101994))))+~P105(f844(f60(x101991),f844(f261(x101991),f844(f844(f10(f916(x101992,a904),a904,x101991),f86(x101992)),f844(f844(f10(f916(x101992,a904),f916(x101992,a904),x101991),f844(f20(x101992,a904,a904),f844(f844(f10(a904,f916(a904,a904),x101992),a325),x101995))),x101993)))))
% 202.05/201.93 [10269]~P105(f844(f60(x102692),x102695))+~P105(f844(f844(f328(x102692),x102694),x102695))+P105(f844(f60(x102691),f844(f261(x102691),f844(f844(f9(x102691,x102692,a904),x102693),x102694))))+~P105(f844(f60(x102691),f844(f261(x102691),f844(f844(f10(f916(x102692,a904),a904,x102691),f86(x102692)),f844(f844(f10(f916(x102692,a904),f916(x102692,a904),x102691),f844(f20(x102692,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102692),a325),f844(f844(f9(x102692,f916(x102692,a904),a904),f328(x102692)),x102695)))),x102693)))))
% 202.05/201.93 [8620]~P18(x86205,x86201,x86206,x86202)+E(f844(f72(x86201,x86201,x86201,f844(x86202,x86203)),f844(x86202,x86204)),f844(f72(x86201,x86201,x86201,f844(x86202,x86204)),f844(x86202,x86203)))+~P105(f844(f60(x86205),x86204))+~P105(f844(f60(x86205),x86203))
% 202.05/201.93 [8022]~P24(x80221,x80222,x80224,x80223)+~E(f844(x80224,x80226),x80225)+E(f844(f76(x80221,x80222,x80223,x80224),x80225),x80226)+~P105(f844(f844(f328(x80221),x80226),x80223))
% 202.05/201.93 [8023]~P24(x80231,x80232,x80234,x80233)+~E(f844(x80234,x80236),x80235)+E(f844(f90(x80231,x80232,x80233,x80234),x80235),x80236)+~P105(f844(f844(f328(x80231),x80236),x80233))
% 202.05/201.93 [8215]~P19(x82156,x82151,x82154,x82152)+E(f844(f72(x82151,x82151,x82151,f844(x82152,x82153)),f844(x82154,x82155)),f844(x82152,x82153))+~P105(f844(f60(x82156),x82153))+~P105(f844(f844(f328(x82156),x82155),x82153))
% 202.05/201.93 [9330]E(x93301,x93302)+~E(f844(f90(x93303,x93304,x93305,x93306),x93301),f844(f90(x93303,x93304,x93305,x93306),x93302))+~P105(f844(f844(f328(x93304),x93302),f844(f309(x93303,x93304,x93306),x93305)))+~P105(f844(f844(f328(x93304),x93301),f844(f309(x93303,x93304,x93306),x93305)))
% 202.05/201.93 [9428]~P18(x94283,x94281,x94286,x94282)+E(f844(f72(x94281,x94281,x94281,f844(x94282,f844(f844(f3(f916(x94283,a904)),x94284),f844(f844(f308(x94283),x94285),f188(f916(x94283,a904)))))),f844(x94286,x94285)),f844(x94282,x94284))+~P105(f844(f60(x94283),x94284))+~P105(f844(f844(f328(x94283),x94285),x94284))
% 202.05/201.93 [7113]~P60(x71131)+~E(f44(x71131,x71133,x71134),f44(x71131,x71136,x71134))+~E(f44(x71131,x71132,x71134),f44(x71131,x71135,x71134))+E(f44(x71131,f844(f844(f3(x71131),x71132),x71133),x71134),f44(x71131,f844(f844(f3(x71131),x71135),x71136),x71134))
% 202.05/201.93 [7114]~P59(x71141)+~E(f44(x71141,x71143,x71144),f44(x71141,x71146,x71144))+~E(f44(x71141,x71142,x71144),f44(x71141,x71145,x71144))+E(f44(x71141,f844(f844(f80(x71141),x71142),x71143),x71144),f44(x71141,f844(f844(f80(x71141),x71145),x71146),x71144))
% 202.05/201.93 [7115]~P59(x71151)+~E(f44(x71151,x71153,x71154),f44(x71151,x71156,x71154))+~E(f44(x71151,x71152,x71154),f44(x71151,x71155,x71154))+E(f44(x71151,f844(f844(f79(x71151),x71152),x71153),x71154),f44(x71151,f844(f844(f79(x71151),x71155),x71156),x71154))
% 202.05/201.93 [7920]~P15(x79201,x79202,x79203)+~P105(f844(f60(x79201),x79206))+E(f844(f844(f63(x79201,x79202,x79203),x79204),f844(f844(f308(x79201),x79205),x79206)),f844(f844(f63(x79201,x79202,x79203),f844(f844(x79203,x79205),x79204)),x79206))+P105(f844(f844(f328(x79201),x79205),x79206))
% 202.05/201.93 [7981]~P4(x79811)+P105(f844(f844(f234(x79811),x79812),f844(x79813,x79814)))+~P105(f844(f844(f328(x79815),x79814),x79816))+~P105(f844(f844(f234(x79811),x79812),f844(f844(f38(x79815,x79811),x79816),x79813)))
% 202.05/201.93 [8137]~P15(x81371,x81372,x81373)+~P105(f844(f60(x81371),x81376))+E(f844(f844(f63(x81371,x81372,x81373),x81374),f844(f844(f308(x81371),x81375),x81376)),f844(f844(x81373,x81375),f844(f844(f63(x81371,x81372,x81373),x81374),x81376)))+P105(f844(f844(f328(x81371),x81375),x81376))
% 202.05/201.93 [8233]~P108(x82333)+~P105(f844(x82332,x82335))+~P12(x82333,f844(f844(f154(x82331,x82333),x82334),x82336))+E(f844(f136(x82331,x82332),f844(f844(f148(x82331,x82333,x82334),x82335),x82336)),f844(f844(f148(x82331,x82333,x82334),x82335),f844(f136(x82331,x82332),x82336)))
% 202.05/201.93 [8253]E(x82531,x82532)+E(x82533,f2(a1))+~P105(f844(f48(x82534,x82533),f844(f844(f251(a1,a1),x82535),x82532)))+~P105(f844(f48(x82534,x82533),f844(f844(f251(a1,a1),x82536),x82531)))
% 202.05/201.93 [8254]E(x82541,x82542)+E(x82543,f2(a1))+~P105(f844(f48(x82544,x82543),f844(f844(f251(a1,a1),x82542),x82545)))+~P105(f844(f48(x82544,x82543),f844(f844(f251(a1,a1),x82541),x82546)))
% 202.05/201.93 [8275]~P18(x82752,x82755,x82756,x82751)+~P105(f844(f60(x82752),x82754))+E(f844(x82751,f844(f844(f308(x82752),x82753),x82754)),f844(f72(x82755,x82755,x82755,f844(x82751,x82754)),f844(x82756,x82753)))+P105(f844(f844(f328(x82752),x82753),x82754))
% 202.05/201.93 [8495]~P19(x84955,x84951,x84956,x84952)+E(f844(f72(x84951,x84951,x84951,f844(x84952,x84953)),f844(x84952,x84954)),f844(x84952,x84953))+~P105(f844(f60(x84955),x84953))+~P105(f844(f844(f234(f916(x84955,a904)),x84954),x84953))
% 202.05/201.93 [9632]~P24(x96321,x96322,x96324,x96323)+~P105(f844(f844(f328(x96322),x96325),f844(f309(x96321,x96322,x96324),x96323)))+P105(f844(f844(f328(x96321),f844(f76(x96321,x96322,x96323,x96324),x96325)),x96326))+~P105(f844(f844(f234(f916(x96321,a904)),x96323),x96326))
% 202.05/201.93 [10006]~P69(x100062)+~E(f577(x100061,x100063,x100065,x100066,x100064,x100062),f578(x100061,x100063,x100065,x100066,x100064,x100062))+~P105(f844(f60(x100064),x100066))+E(f844(f844(f8(x100061,x100062),x100063),f844(f309(x100064,x100061,x100065),x100066)),f844(f844(f8(x100064,x100062),f844(f72(x100061,x100062,x100064,x100063),x100065)),x100066))
% 202.05/201.93 [10035]~P69(x100356)+E(f844(x100351,f577(x100352,x100353,x100351,x100354,x100355,x100356)),f844(x100351,f578(x100352,x100353,x100351,x100354,x100355,x100356)))+E(f844(f844(f8(x100352,x100356),x100353),f844(f309(x100355,x100352,x100351),x100354)),f844(f844(f8(x100355,x100356),f844(f72(x100352,x100356,x100355,x100353),x100351)),x100354))+~P105(f844(f60(x100355),x100354))
% 202.05/201.93 [10086]~P69(x100862)+~E(f844(x100863,f844(x100865,f578(x100861,x100863,x100865,x100866,x100864,x100862))),f2(x100862))+~P105(f844(f60(x100864),x100866))+E(f844(f844(f8(x100861,x100862),x100863),f844(f309(x100864,x100861,x100865),x100866)),f844(f844(f8(x100864,x100862),f844(f72(x100861,x100862,x100864,x100863),x100865)),x100866))
% 202.05/201.93 [10144]~P69(x101442)+~P105(f844(f60(x101444),x101446))+E(f844(f844(f8(x101441,x101442),x101443),f844(f309(x101444,x101441,x101445),x101446)),f844(f844(f8(x101444,x101442),f844(f72(x101441,x101442,x101444,x101443),x101445)),x101446))+P105(f844(f844(f328(x101444),f578(x101441,x101443,x101445,x101446,x101444,x101442)),x101446))
% 202.05/201.93 [10145]~P69(x101452)+~P105(f844(f60(x101454),x101456))+E(f844(f844(f8(x101451,x101452),x101453),f844(f309(x101454,x101451,x101455),x101456)),f844(f844(f8(x101454,x101452),f844(f72(x101451,x101452,x101454,x101453),x101455)),x101456))+P105(f844(f844(f328(x101454),f577(x101451,x101453,x101455,x101456,x101454,x101452)),x101456))
% 202.05/201.93 [10268]~P74(x102681)+~P105(f844(f60(x102682),x102686))+E(f844(f844(f844(f64(x102681,x102682,f80(x102681)),f844(f844(f20(x102682,f916(x102683,a904),x102681),f844(f844(f9(x102682,x102681,f916(f916(x102683,a904),x102681)),f844(f844(f10(f916(x102683,x102681),f916(x102681,f916(f916(x102683,a904),x102681)),x102682),f64(x102681,x102683,f80(x102681))),x102684)),f77(x102681))),x102685)),f77(x102681)),x102686),f844(f844(f844(f64(x102681,f915(x102682,x102683),f80(x102681)),f844(f256(x102682,x102683,x102681),x102684)),f77(x102681)),f844(f844(f253(x102682,x102683),x102686),x102685)))+P105(f844(f844(f328(x102682),f529(x102684,x102685,x102683,x102686,x102682,x102681)),x102686))
% 202.05/201.93 [10290]~P74(x102901)+~P105(f844(f60(x102902),x102906))+E(f844(f844(f844(f64(x102901,x102902,f80(x102901)),f844(f844(f20(x102902,f916(x102903,a904),x102901),f844(f844(f9(x102902,x102901,f916(f916(x102903,a904),x102901)),f844(f844(f10(f916(x102903,x102901),f916(x102901,f916(f916(x102903,a904),x102901)),x102902),f64(x102901,x102903,f80(x102901))),x102904)),f77(x102901))),x102905)),f77(x102901)),x102906),f844(f844(f844(f64(x102901,f915(x102902,x102903),f80(x102901)),f844(f256(x102902,x102903,x102901),x102904)),f77(x102901)),f844(f844(f253(x102902,x102903),x102906),x102905)))+~P105(f844(f60(x102903),f844(x102905,f529(x102904,x102905,x102903,x102906,x102902,x102901))))
% 202.05/201.93 [8406]~P19(x84062,x84065,x84066,x84061)+~P105(f844(f60(x84062),x84064))+~P105(f844(f60(x84062),x84063))+E(f844(x84061,f844(f844(f110(f916(x84062,a904)),x84063),x84064)),f844(f72(x84065,x84065,x84065,f844(x84061,x84063)),f844(x84061,x84064)))
% 202.05/201.93 [8621]~P4(x86211)+P105(f844(f844(f234(x86211),f844(x86212,x86213)),x86214))+~P105(f844(f844(f328(x86215),x86213),x86216))+~P105(f844(f844(f234(x86211),f844(f844(f39(x86215,x86211),x86216),x86212)),x86214))
% 202.05/201.93 [9049]~P24(x90492,x90491,x90493,x90496)+E(f844(f844(f3(f916(x90491,a904)),f844(f309(x90492,x90491,x90493),x90494)),f844(f309(x90492,x90491,x90493),x90495)),f844(f309(x90492,x90491,x90493),f844(f844(f3(f916(x90492,a904)),x90494),x90495)))+~P105(f844(f844(f234(f916(x90492,a904)),x90495),x90496))+~P105(f844(f844(f234(f916(x90492,a904)),x90494),x90496))
% 202.05/201.93 [9050]~P24(x90502,x90501,x90503,x90506)+E(f844(f844(f101(f916(x90501,a904)),f844(f309(x90502,x90501,x90503),x90504)),f844(f309(x90502,x90501,x90503),x90505)),f844(f309(x90502,x90501,x90503),f844(f844(f101(f916(x90502,a904)),x90504),x90505)))+~P105(f844(f844(f234(f916(x90502,a904)),x90505),x90506))+~P105(f844(f844(f234(f916(x90502,a904)),x90504),x90506))
% 202.05/201.93 [9306]E(x93061,x93062)+~P53(x93063,x93064,x93065)+~P105(f844(f844(f328(f915(x93063,x93064)),f844(f844(f251(x93063,x93064),x93066),x93062)),x93065))+~P105(f844(f844(f328(f915(x93063,x93064)),f844(f844(f251(x93063,x93064),x93066),x93061)),x93065))
% 202.05/201.93 [10082]~P67(x100821)+~E(f844(x100823,f853(x100824,x100826,x100823,x100825,x100822,x100821)),f844(x100826,f853(x100824,x100826,x100823,x100825,x100822,x100821)))+~P105(f844(f60(x100822),x100825))+E(f844(f844(f844(f64(x100821,x100822,f80(x100821)),x100823),x100824),x100825),f844(f844(f844(f64(x100821,x100822,f80(x100821)),x100826),x100824),x100825))
% 202.05/201.93 [10142]~P67(x101421)+~P105(f844(f60(x101422),x101425))+E(f844(f844(f844(f64(x101421,x101422,f80(x101421)),x101423),x101424),x101425),f844(f844(f844(f64(x101421,x101422,f80(x101421)),x101426),x101424),x101425))+P105(f844(f844(f328(x101422),f853(x101424,x101423,x101426,x101425,x101422,x101421)),x101425))
% 202.05/201.93 [8847]~P67(x88471)+~P105(f844(f60(x88472),x88476))+P105(f844(f844(f328(x88472),x88475),x88476))+E(f844(f844(f844(f64(x88471,x88472,f80(x88471)),x88473),x88474),f844(f844(f308(x88472),x88475),x88476)),f844(f844(f80(x88471),f844(x88473,x88475)),f844(f844(f844(f64(x88471,x88472,f80(x88471)),x88473),x88474),x88476)))
% 202.05/201.93 [8900]~P7(x89001,x89006,x89003)+~P10(x89001,f916(x89002,a904),x89003,x89005)+~P105(f844(f844(f328(x89001),x89004),x89006))+E(f844(f844(f39(x89001,f916(x89002,a904)),f844(f284(x89001,x89001,x89003),f844(f844(f308(x89001),x89004),f188(f916(x89001,a904))))),x89005),f844(x89005,x89004))
% 202.05/201.93 [9026]~P15(x90263,x90264,x90261)+~P105(f844(f60(x90263),x90266))+~P105(f844(f844(f328(x90263),x90262),x90266))+E(f844(f844(x90261,x90262),f844(f844(f63(x90263,x90264,x90261),x90265),f844(f844(f3(f916(x90263,a904)),x90266),f844(f844(f308(x90263),x90262),f188(f916(x90263,a904)))))),f844(f844(f63(x90263,x90264,x90261),x90265),x90266))
% 202.05/201.93 [9316]~P18(x93163,x93161,x93166,x93162)+~P105(f844(f60(x93163),x93165))+~P105(f844(f60(x93163),x93164))+E(f844(f72(x93161,x93161,x93161,f844(x93162,f844(f844(f110(f916(x93163,a904)),x93164),x93165))),f844(x93162,f844(f844(f101(f916(x93163,a904)),x93164),x93165))),f844(f72(x93161,x93161,x93161,f844(x93162,x93164)),f844(x93162,x93165)))
% 202.05/201.93 [9655]~E(x96553,f844(f844(f159(x96551,x96552),x96555),x96556))+P105(f844(f844(f328(f915(f909(x96551),f909(x96551))),f844(f844(f251(f909(x96551),f909(x96551)),x96552),x96553)),f157(x96551,x96554)))+~P105(f844(f844(f235(a908),x96555),f844(f189(f909(x96551)),x96552)))+~P105(f844(f844(f328(f915(x96551,x96551)),f844(f844(f251(x96551,x96551),f844(f844(f164(x96551),x96552),x96555)),x96556)),x96554))
% 202.05/201.93 [10158]~P69(x101582)+~P105(f844(f60(x101581),x101586))+P105(f844(f844(f328(x101581),f533(x101584,x101585,x101583,x101586,x101581,x101582)),x101586))+E(f844(f844(f8(x101581,x101582),f844(f844(f20(x101581,f916(x101583,a904),x101582),f844(f844(f10(f916(x101583,x101582),f916(f916(x101583,a904),x101582),x101581),f8(x101583,x101582)),x101584)),x101585)),x101586),f844(f844(f8(f915(x101581,x101583),x101582),f844(f256(x101581,x101583,x101582),x101584)),f844(f844(f253(x101581,x101583),x101586),x101585)))
% 202.05/201.93 [10159]~P74(x101592)+~P105(f844(f60(x101591),x101596))+P105(f844(f844(f328(x101591),f530(x101594,x101595,x101593,x101596,x101591,x101592)),x101596))+E(f844(f844(f11(x101591,x101592),f844(f844(f20(x101591,f916(x101593,a904),x101592),f844(f844(f10(f916(x101593,x101592),f916(f916(x101593,a904),x101592),x101591),f11(x101593,x101592)),x101594)),x101595)),x101596),f844(f844(f11(f915(x101591,x101593),x101592),f844(f256(x101591,x101593,x101592),x101594)),f844(f844(f253(x101591,x101593),x101596),x101595)))
% 202.05/201.93 [10197]~P69(x101972)+~P105(f844(f60(x101971),x101976))+~P105(f844(f60(x101973),f844(x101975,f533(x101974,x101975,x101973,x101976,x101971,x101972))))+E(f844(f844(f8(x101971,x101972),f844(f844(f20(x101971,f916(x101973,a904),x101972),f844(f844(f10(f916(x101973,x101972),f916(f916(x101973,a904),x101972),x101971),f8(x101973,x101972)),x101974)),x101975)),x101976),f844(f844(f8(f915(x101971,x101973),x101972),f844(f256(x101971,x101973,x101972),x101974)),f844(f844(f253(x101971,x101973),x101976),x101975)))
% 202.05/201.93 [10198]~P74(x101982)+~P105(f844(f60(x101981),x101986))+~P105(f844(f60(x101983),f844(x101985,f530(x101984,x101985,x101983,x101986,x101981,x101982))))+E(f844(f844(f11(x101981,x101982),f844(f844(f20(x101981,f916(x101983,a904),x101982),f844(f844(f10(f916(x101983,x101982),f916(f916(x101983,a904),x101982),x101981),f11(x101983,x101982)),x101984)),x101985)),x101986),f844(f844(f11(f915(x101981,x101983),x101982),f844(f256(x101981,x101983,x101982),x101984)),f844(f844(f253(x101981,x101983),x101986),x101985)))
% 202.05/201.93 [10180]~P74(x101802)+~P105(f844(f60(x101801),x101806))+P105(f844(f844(f328(x101801),x101803),x101806))+E(f844(f844(f11(x101801,x101802),f844(f844(f9(x101801,x101802,x101802),f844(f844(f20(x101801,x101802,f916(x101802,x101802)),f844(f844(f10(a904,f916(x101802,f916(x101802,x101802)),x101801),f96(x101802)),f844(f844(f9(x101801,x101801,a904),a324),x101803))),x101804)),x101805)),x101806),f844(f844(f243(x101802),x101805),f844(f34(x101801),x101806)))
% 202.05/201.93 [10183]~P74(x101832)+~P105(f844(f60(x101831),x101836))+~P105(f844(f844(f328(x101831),x101833),x101836))+E(f844(f844(f11(x101831,x101832),f844(f844(f9(x101831,x101832,x101832),f844(f844(f20(x101831,x101832,f916(x101832,x101832)),f844(f844(f10(a904,f916(x101832,f916(x101832,x101832)),x101831),f96(x101832)),f844(f844(f9(x101831,x101831,a904),a324),x101833))),x101834)),x101835)),x101836),f844(f844(f80(x101832),f844(x101834,x101833)),f844(f844(f243(x101832),x101835),f844(f844(f3(a908),f844(f34(x101831),x101836)),f77(a908)))))
% 202.05/201.93 [10259]~P105(f844(f60(x102591),x102595))+~P105(f844(f60(x102592),x102593))+P105(f844(f844(f328(x102592),f547(x102596,x102594,x102593,x102592,x102595,x102591)),x102593))+E(f844(f844(f8(x102591,a908),f844(f844(f10(f916(x102592,a904),a908,x102591),f34(x102592)),f844(f844(f10(f916(x102592,a904),f916(x102592,a904),x102591),f261(x102592)),f844(f844(f10(f916(x102592,a904),f916(x102592,a904),x102591),f844(f20(x102592,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102592),a325),f844(f844(f9(x102592,f916(x102592,a904),a904),f328(x102592)),x102593)))),x102594)))),x102595),f844(f844(f80(a908),x102596),f844(f34(x102592),x102593)))
% 202.05/201.93 [10260]~P105(f844(f60(x102601),x102605))+~P105(f844(f60(x102602),x102603))+P105(f844(f844(f328(x102602),f548(x102606,x102604,x102603,x102602,x102605,x102601)),x102603))+E(f844(f844(f8(x102601,a908),f844(f844(f10(f916(x102602,a904),a908,x102601),f34(x102602)),f844(f844(f10(f916(x102602,a904),f916(x102602,a904),x102601),f261(x102602)),f844(f844(f10(f916(x102602,a904),f916(x102602,a904),x102601),f844(f20(x102602,a904,a904),f844(f844(f10(a904,f916(a904,a904),x102602),a325),f844(f844(f9(x102602,f916(x102602,a904),a904),f328(x102602)),x102603)))),x102604)))),x102605),f844(f844(f8(x102602,a908),x102606),x102603))
% 202.05/201.93 [10303]~P105(f844(f60(x103032),x103033))+~P105(f844(f60(x103031),x103035))+~E(f844(f34(x103031),f844(f261(x103031),f844(f844(f20(x103031,a904,a904),f844(f844(f10(a904,f916(a904,a904),x103031),a325),f844(f844(f9(x103031,f916(x103031,a904),a904),f328(x103031)),x103035))),f844(f844(f9(x103031,x103032,a904),x103034),f547(x103036,x103034,x103033,x103032,x103035,x103031))))),x103036)+E(f844(f844(f8(x103031,a908),f844(f844(f10(f916(x103032,a904),a908,x103031),f34(x103032)),f844(f844(f10(f916(x103032,a904),f916(x103032,a904),x103031),f261(x103032)),f844(f844(f10(f916(x103032,a904),f916(x103032,a904),x103031),f844(f20(x103032,a904,a904),f844(f844(f10(a904,f916(a904,a904),x103032),a325),f844(f844(f9(x103032,f916(x103032,a904),a904),f328(x103032)),x103033)))),x103034)))),x103035),f844(f844(f80(a908),x103036),f844(f34(x103032),x103033)))
% 202.05/201.93 [10305]~P105(f844(f60(x103052),x103053))+~P105(f844(f60(x103051),x103055))+~E(f844(f34(x103051),f844(f261(x103051),f844(f844(f20(x103051,a904,a904),f844(f844(f10(a904,f916(a904,a904),x103051),a325),f844(f844(f9(x103051,f916(x103051,a904),a904),f328(x103051)),x103055))),f844(f844(f9(x103051,x103052,a904),x103054),f548(x103056,x103054,x103053,x103052,x103055,x103051))))),f844(x103056,f548(x103056,x103054,x103053,x103052,x103055,x103051)))+E(f844(f844(f8(x103051,a908),f844(f844(f10(f916(x103052,a904),a908,x103051),f34(x103052)),f844(f844(f10(f916(x103052,a904),f916(x103052,a904),x103051),f261(x103052)),f844(f844(f10(f916(x103052,a904),f916(x103052,a904),x103051),f844(f20(x103052,a904,a904),f844(f844(f10(a904,f916(a904,a904),x103052),a325),f844(f844(f9(x103052,f916(x103052,a904),a904),f328(x103052)),x103053)))),x103054)))),x103055),f844(f844(f8(x103052,a908),x103056),x103053))
% 202.05/201.93 [9932]E(x99321,x99322)+~P15(x99323,x99324,x99325)+~P105(f844(f65(x99323,x99324,x99325,x99326,x99327),x99322))+~P105(f844(f65(x99323,x99324,x99325,x99326,x99327),x99321))
% 202.05/201.93 [9731]P105(f844(x97311,x97312))+~P105(f844(f844(f328(x97317),x97312),f844(x97316,x97314)))+~P105(f844(x97311,f456(x97311,x97316,x97315,x97313,x97317)))+~P105(f844(f844(f328(x97313),x97314),x97315))
% 202.05/201.93 [10172]~P15(x101727,x101726,x101721)+E(f844(f844(x101721,x101722),f565(x101722,x101723,x101724,x101725,x101721,x101726,x101727)),x101723)+~P105(f844(f65(x101727,x101726,x101721,x101725,x101724),x101723))+~P105(f844(f844(f328(x101727),x101722),x101724))
% 202.05/201.93 [10237]~P15(x102371,x102372,x102373)+~P105(f844(f65(x102371,x102372,x102373,x102374,x102375),x102377))+P105(f844(f65(x102371,x102372,x102373,x102374,f844(f844(f3(f916(x102371,a904)),x102375),f844(f844(f308(x102371),x102376),f188(f916(x102371,a904))))),f565(x102376,x102377,x102375,x102374,x102373,x102372,x102371)))+~P105(f844(f844(f328(x102371),x102376),x102375))
% 202.05/201.93 [9385]P25(x93851,x93852,x93853,x93854,x93855)+~P25(x93851,x93852,x93853,x93856,x93857)+~E(f844(f309(x93851,x93852,x93853),x93854),x93855)+~P105(f844(f844(f234(f916(x93851,a904)),x93854),x93856))
% 202.05/201.93 [9623]~P25(x96231,x96232,x96233,x96235,x96237)+~P25(x96231,x96232,x96233,x96234,x96236)+P25(x96231,x96232,x96233,f844(f844(f110(f916(x96231,a904)),x96234),x96235),f844(f844(f110(f916(x96232,a904)),x96236),x96237))+~E(f844(f844(f101(f916(x96232,a904)),x96236),x96237),f188(f916(x96232,a904)))
% 202.05/201.93 [9628]~P67(x96281)+~P24(x96285,x96282,x96286,x96287)+~P105(f844(f60(x96285),x96287))+E(f844(f844(f844(f64(x96281,x96282,f80(x96281)),x96283),x96284),f844(f309(x96285,x96282,x96286),x96287)),f844(f844(f844(f64(x96281,x96285,f80(x96281)),f844(f72(x96282,x96281,x96285,x96283),x96286)),x96284),x96287))
% 202.05/201.93 [9754]~E(f844(f844(f308(x97541),x97545),x97546),f844(f844(f308(x97541),x97542),x97543))+~P105(f844(f65(x97541,x97541,x97544,x97542,x97543),x97547))+P105(f844(f844(f328(x97541),x97542),x97543))+P105(f844(f61(x97541,x97544,f844(f844(f308(x97541),x97545),x97546)),x97547))
% 202.05/201.93 [9839]P105(f844(x98391,x98392))+~P105(f844(f844(f328(x98393),x98392),f844(x98394,x98397)))+~P105(f844(f844(f328(x98396),x98397),x98395))+P105(f844(f844(f328(x98393),f456(x98391,x98394,x98395,x98396,x98393)),f844(f844(f39(x98396,f916(x98393,a904)),x98395),x98394)))
% 202.05/201.93 [9856]~P24(x98562,x98561,x98565,x98564)+~P24(x98561,x98563,x98566,f844(f309(x98562,x98561,x98565),x98564))+E(f844(f844(f72(x98561,x98562,x98563,f76(x98562,x98561,x98564,x98565)),f76(x98561,x98563,f844(f309(x98562,x98561,x98565),x98564),x98566)),x98567),f844(f76(x98562,x98563,x98564,f844(f72(x98561,x98563,x98562,x98566),x98565)),x98567))+~P105(f844(f844(f328(x98563),x98567),f844(f309(x98561,x98563,x98566),f844(f309(x98562,x98561,x98565),x98564))))
% 202.05/201.93 [9857]~P24(x98572,x98571,x98575,x98574)+~P24(x98571,x98573,x98576,f844(f309(x98572,x98571,x98575),x98574))+E(f844(f844(f72(x98571,x98572,x98573,f90(x98572,x98571,x98574,x98575)),f90(x98571,x98573,f844(f309(x98572,x98571,x98575),x98574),x98576)),x98577),f844(f90(x98572,x98573,x98574,f844(f72(x98571,x98573,x98572,x98576),x98575)),x98577))+~P105(f844(f844(f328(x98573),x98577),f844(f309(x98571,x98573,x98576),f844(f309(x98572,x98571,x98575),x98574))))
% 202.05/201.93 [10173]~P15(x101737,x101736,x101731)+E(f844(f844(x101731,x101732),f626(x101733,x101734,x101732,x101735,x101731,x101736,x101737)),x101733)+P105(f844(f844(f328(x101737),x101732),x101734))+~P105(f844(f65(x101737,x101736,x101731,x101735,f844(f844(f308(x101737),x101732),x101734)),x101733))
% 202.05/201.93 [10236]~P15(x102361,x102364,x102365)+P105(f844(f65(x102361,x102364,x102365,x102366,x102363),f626(x102367,x102363,x102362,x102366,x102365,x102364,x102361)))+P105(f844(f844(f328(x102361),x102362),x102363))+~P105(f844(f65(x102361,x102364,x102365,x102366,f844(f844(f308(x102361),x102362),x102363)),x102367))
% 202.05/201.93 [9914]E(x99141,f2(a1))+~P105(f844(f48(x99143,x99141),f844(f844(f251(a1,a1),x99145),x99147)))+~P105(f844(f48(x99142,x99141),f844(f844(f251(a1,a1),x99144),x99146)))+P105(f844(f48(f844(f844(f79(a1),x99142),x99143),x99141),f844(f844(f251(a1,a1),f844(f844(f79(a1),f844(f844(f79(a1),x99144),x99145)),f844(f844(f35(a1),f844(f844(f79(a1),x99146),x99147)),x99141))),f44(a1,f844(f844(f79(a1),x99146),x99147),x99141))))
% 202.05/201.93 [9916]~P105(f844(f844(f235(a908),f2(a908)),x99163))+~P105(f844(f47(x99162,x99163),f844(f844(f251(a908,a908),x99165),x99167)))+~P105(f844(f47(x99161,x99163),f844(f844(f251(a908,a908),x99164),x99166)))+P105(f844(f47(f844(f844(f79(a908),x99161),x99162),x99163),f844(f844(f251(a908,a908),f844(f844(f79(a908),f844(f844(f79(a908),x99164),x99165)),f844(f844(f35(a908),f844(f844(f79(a908),x99166),x99167)),x99163))),f44(a908,f844(f844(f79(a908),x99166),x99167),x99163))))
% 202.05/201.93 [10302]~P69(x103022)+~P105(f844(f60(x103023),x103025))+~P105(f844(f60(x103021),x103027))+E(f844(f844(f8(x103021,x103022),f844(f844(f20(x103021,f916(x103023,a904),x103022),f844(f844(f10(f916(x103023,x103022),f916(f916(x103023,a904),x103022),x103021),f8(x103023,x103022)),x103024)),f844(f844(f10(f916(x103023,a904),f916(x103023,a904),x103021),f261(x103023)),f844(f844(f10(f916(x103023,a904),f916(x103023,a904),x103021),f844(f20(x103023,a904,a904),f844(f844(f10(a904,f916(a904,a904),x103023),a325),f844(f844(f9(x103023,f916(x103023,a904),a904),f328(x103023)),x103025)))),x103026)))),x103027),f844(f844(f8(x103023,x103022),f844(f844(f20(x103023,f916(x103021,a904),x103022),f844(f844(f10(f916(x103021,x103022),f916(f916(x103021,a904),x103022),x103023),f8(x103021,x103022)),f844(f9(x103021,x103023,x103022),x103024))),f844(f844(f10(f916(x103021,a904),f916(x103021,a904),x103023),f261(x103021)),f844(f844(f10(f916(x103021,a904),f916(x103021,a904),x103023),f844(f20(x103021,a904,a904),f844(f844(f10(a904,f916(a904,a904),x103021),a325),f844(f844(f9(x103021,f916(x103021,a904),a904),f328(x103021)),x103027)))),f844(f9(x103021,x103023,a904),x103026))))),x103025))
% 202.05/201.93 [10257]~P20(x102578,x102577,x102576,x102575,x102571)+~E(f844(x102572,f842(x102574,x102572,x102573,x102571,x102575,x102576,x102577)),f844(x102574,f842(x102574,x102572,x102573,x102571,x102575,x102576,x102577)))+E(f844(f844(x102571,x102572),x102573),f844(f844(x102571,x102574),x102573))+~P105(f844(f60(x102577),x102573))
% 202.05/201.93 [9790]~P21(x97907,x97906,x97901,x97908,x97902,x97904)+E(f844(f844(x97901,f844(x97902,x97903)),f844(x97904,x97905)),f844(x97904,x97905))+~P105(f844(f60(x97906),x97905))+~P105(f844(f844(f328(x97906),x97903),x97905))
% 202.05/201.93 [9795]~P11(x97956,x97951,x97952,x97958,x97953,x97954)+~P7(x97956,x97957,x97958)+P10(x97951,x97952,x97953,f844(x97954,x97955))+~P105(f844(f844(f328(x97956),x97955),x97957))
% 202.05/201.93 [10275]~P20(x102758,x102755,x102757,x102756,x102751)+E(f844(f844(x102751,x102752),x102753),f844(f844(x102751,x102754),x102753))+~P105(f844(f60(x102755),x102753))+P105(f844(f844(f328(x102755),f842(x102752,x102754,x102753,x102751,x102756,x102757,x102755)),x102753))
% 202.05/201.93 [10352]~P105(f844(f844(x103521,x103526),x103525))+P105(f844(f844(x103521,f832(x103521,x103524,x103525,x103526,x103523,x103522,x103527,x103528)),f836(x103521,x103524,x103525,x103526,x103523,x103522,x103527,x103528)))+P105(f844(f844(x103521,x103522),x103523))+~P105(f844(f844(f328(f915(f915(x103528,x103527),f915(x103528,x103527))),f844(f844(f251(f915(x103528,x103527),f915(x103528,x103527)),f844(f844(f251(x103528,x103527),x103522),x103523)),f844(f844(f251(x103528,x103527),x103526),x103525))),f306(f915(x103528,x103527),x103524)))
% 202.05/201.93 [10353]~P105(f844(f844(x103531,x103536),x103535))+P105(f844(f844(x103531,f824(x103531,x103534,x103533,x103532,x103535,x103536,x103537,x103538)),f825(x103531,x103534,x103533,x103532,x103535,x103536,x103537,x103538)))+P105(f844(f844(x103531,x103532),x103533))+~P105(f844(f844(f328(f915(f915(x103538,x103537),f915(x103538,x103537))),f844(f844(f251(f915(x103538,x103537),f915(x103538,x103537)),f844(f844(f251(x103538,x103537),x103536),x103535)),f844(f844(f251(x103538,x103537),x103532),x103533))),f306(f915(x103538,x103537),x103534)))
% 202.05/201.93 [10363]~P105(f844(f844(x103631,f833(x103631,x103636,x103635,x103634,x103633,x103632,x103637,x103638)),f835(x103631,x103636,x103635,x103634,x103633,x103632,x103637,x103638)))+P105(f844(f844(x103631,x103632),x103633))+~P105(f844(f844(x103631,x103634),x103635))+~P105(f844(f844(f328(f915(f915(x103638,x103637),f915(x103638,x103637))),f844(f844(f251(f915(x103638,x103637),f915(x103638,x103637)),f844(f844(f251(x103638,x103637),x103632),x103633)),f844(f844(f251(x103638,x103637),x103634),x103635))),f306(f915(x103638,x103637),x103636)))
% 202.05/201.93 [10364]~P105(f844(f844(x103641,f826(x103641,x103646,x103643,x103642,x103645,x103644,x103647,x103648)),f827(x103641,x103646,x103643,x103642,x103645,x103644,x103647,x103648)))+P105(f844(f844(x103641,x103642),x103643))+~P105(f844(f844(x103641,x103644),x103645))+~P105(f844(f844(f328(f915(f915(x103648,x103647),f915(x103648,x103647))),f844(f844(f251(f915(x103648,x103647),f915(x103648,x103647)),f844(f844(f251(x103648,x103647),x103644),x103645)),f844(f844(f251(x103648,x103647),x103642),x103643))),f306(f915(x103648,x103647),x103646)))
% 202.05/201.93 [10377]~P105(f844(f844(x103771,x103776),x103777))+P105(f844(f844(x103771,x103772),x103773))+P105(f844(f844(f328(f915(f915(x103774,x103775),f915(x103774,x103775))),f844(f844(f251(f915(x103774,x103775),f915(x103774,x103775)),f844(f844(f251(x103774,x103775),x103776),x103777)),f844(f844(f251(x103774,x103775),f824(x103771,x103778,x103773,x103772,x103777,x103776,x103775,x103774)),f825(x103771,x103778,x103773,x103772,x103777,x103776,x103775,x103774)))),f306(f915(x103774,x103775),x103778)))+~P105(f844(f844(f328(f915(f915(x103774,x103775),f915(x103774,x103775))),f844(f844(f251(f915(x103774,x103775),f915(x103774,x103775)),f844(f844(f251(x103774,x103775),x103776),x103777)),f844(f844(f251(x103774,x103775),x103772),x103773))),f306(f915(x103774,x103775),x103778)))
% 202.05/201.93 [10379]~P105(f844(f844(x103791,x103798),x103797))+P105(f844(f844(x103791,x103792),x103793))+P105(f844(f844(f328(f915(f915(x103794,x103795),f915(x103794,x103795))),f844(f844(f251(f915(x103794,x103795),f915(x103794,x103795)),f844(f844(f251(x103794,x103795),f832(x103791,x103796,x103797,x103798,x103793,x103792,x103795,x103794)),f836(x103791,x103796,x103797,x103798,x103793,x103792,x103795,x103794))),f844(f844(f251(x103794,x103795),x103798),x103797))),f306(f915(x103794,x103795),x103796)))+~P105(f844(f844(f328(f915(f915(x103794,x103795),f915(x103794,x103795))),f844(f844(f251(f915(x103794,x103795),f915(x103794,x103795)),f844(f844(f251(x103794,x103795),x103792),x103793)),f844(f844(f251(x103794,x103795),x103798),x103797))),f306(f915(x103794,x103795),x103796)))
% 202.05/201.93 [9411]~P18(x94117,x94111,x94118,x94113)+~P105(f844(f60(x94117),x94115))+~P105(f844(f60(x94117),x94114))+E(f844(f72(x94111,x94111,x94112,f844(x94113,x94114)),f844(f72(x94111,x94111,x94112,f844(x94113,x94115)),x94116)),f844(f72(x94111,x94111,x94112,f844(x94113,x94115)),f844(f72(x94111,x94111,x94112,f844(x94113,x94114)),x94116)))
% 202.05/201.93 [9420]~P33(x94201,x94202,x94203,x94204,x94207)+P33(x94201,x94202,x94203,f844(f844(f159(x94201,x94204),x94205),x94206),f844(f844(f159(x94202,x94207),x94205),x94208))+~P105(f844(f844(x94203,x94206),x94208))+~P105(f844(f844(f235(a908),x94205),f844(f189(f909(x94201)),x94204)))
% 202.05/201.93 [9421]~P33(x94211,x94212,x94213,x94214,x94217)+P33(x94211,x94212,x94213,f844(f844(f159(x94211,x94214),x94215),x94216),f844(f844(f159(x94212,x94217),x94215),x94218))+~P105(f844(f844(x94213,x94216),x94218))+~P105(f844(f844(f235(a908),x94215),f844(f189(f909(x94212)),x94217)))
% 202.05/201.93 [9500]~P24(x95002,x95002,x95005,x95006)+~P20(x95003,x95002,x95007,x95008,x95001)+~P105(f844(f60(x95002),x95006))+E(f844(f844(x95001,f844(f72(x95002,x95003,x95002,x95004),x95005)),x95006),f844(f844(x95001,x95004),f844(f309(x95002,x95002,x95005),x95006)))
% 202.05/201.93 [9755]P25(x97551,x97552,x97553,x97554,x97555)+~P25(x97552,x97556,x97557,x97555,x97558)+~P25(x97551,x97556,f844(f72(x97552,x97556,x97551,x97557),x97553),x97554,x97558)+~P105(f844(f844(f234(f916(x97552,a904)),f844(f309(x97551,x97552,x97553),x97554)),x97555))
% 202.05/201.93 [9792]~P22(x97927,x97922,x97925,x97928,x97926,x97921)+~P105(f844(f60(x97922),x97924))+E(f844(x97921,f844(f844(f308(x97922),x97923),x97924)),f844(f844(x97925,f844(x97926,x97923)),f844(x97921,x97924)))+P105(f844(f844(f328(x97922),x97923),x97924))
% 202.05/201.93 [9804]~P21(x98046,x98045,x98041,x98047,x98048,x98042)+E(f844(f844(x98041,f844(x98042,x98043)),f844(x98042,x98044)),f844(x98042,x98044))+~P105(f844(f60(x98045),x98044))+~P105(f844(f844(f234(f916(x98045,a904)),x98043),x98044))
% 202.05/201.93 [9398]P105(f844(f844(f328(f915(f909(x93981),f909(x93981))),f844(f844(f251(f909(x93981),f909(x93981)),x93982),x93983)),f157(x93981,x93984)))+~E(x93983,f844(f844(f134(x93981),x93985),f844(f844(f151(x93981),x93986),x93987)))+~E(x93982,f844(f844(f134(x93981),x93985),f844(f844(f151(x93981),x93988),x93987)))+~P105(f844(f844(f328(f915(x93981,x93981)),f844(f844(f251(x93981,x93981),x93988),x93986)),x93984))
% 202.05/201.93 [9798]~P21(x97986,x97982,x97985,x97987,x97988,x97981)+~P105(f844(f60(x97982),x97984))+~P105(f844(f60(x97982),x97983))+E(f844(x97981,f844(f844(f110(f916(x97982,a904)),x97983),x97984)),f844(f844(x97985,f844(x97981,x97983)),f844(x97981,x97984)))
% 202.05/201.93 [10342]~P24(x103424,x103422,x103425,x103428)+E(f844(f844(f38(x103421,f916(x103422,a904)),x103423),f844(f844(f10(f916(x103424,a904),f916(x103422,a904),x103421),f309(x103424,x103422,x103425)),x103426)),f844(f309(x103424,x103422,x103425),f844(f844(f38(x103421,f916(x103424,a904)),x103423),x103426)))+~P105(f844(f844(f328(x103421),x103427),x103423))+P105(f844(f844(f328(x103421),f518(x103427,x103426,x103423,x103421,x103428,x103425,x103422,x103424)),x103423))
% 202.05/201.93 [10368]~P24(x103684,x103682,x103685,x103687)+E(f844(f844(f38(x103681,f916(x103682,a904)),x103683),f844(f844(f10(f916(x103684,a904),f916(x103682,a904),x103681),f309(x103684,x103682,x103685)),x103686)),f844(f309(x103684,x103682,x103685),f844(f844(f38(x103681,f916(x103684,a904)),x103683),x103686)))+~P105(f844(f844(f328(x103681),x103688),x103683))+~P105(f844(f844(f234(f916(x103684,a904)),f844(x103686,f518(x103688,x103686,x103683,x103681,x103687,x103685,x103682,x103684))),x103687))
% 202.05/201.93 [10380]~P105(f844(f844(x103801,x103808),x103807))+P105(f844(f844(x103801,x103802),x103803))+~P105(f844(f844(f328(f915(f915(x103804,x103805),f915(x103804,x103805))),f844(f844(f251(f915(x103804,x103805),f915(x103804,x103805)),f844(f844(f251(x103804,x103805),x103802),x103803)),f844(f844(f251(x103804,x103805),x103808),x103807))),f306(f915(x103804,x103805),x103806)))+P105(f844(f844(f328(f915(f915(x103804,x103805),f915(x103804,x103805))),f844(f844(f251(f915(x103804,x103805),f915(x103804,x103805)),f844(f844(f251(x103804,x103805),f833(x103801,x103806,x103807,x103808,x103803,x103802,x103805,x103804)),f835(x103801,x103806,x103807,x103808,x103803,x103802,x103805,x103804))),f844(f844(f251(x103804,x103805),f832(x103801,x103806,x103807,x103808,x103803,x103802,x103805,x103804)),f836(x103801,x103806,x103807,x103808,x103803,x103802,x103805,x103804)))),x103806))
% 202.05/201.93 [10381]~P105(f844(f844(x103811,x103818),x103817))+P105(f844(f844(x103811,x103812),x103813))+~P105(f844(f844(f328(f915(f915(x103814,x103815),f915(x103814,x103815))),f844(f844(f251(f915(x103814,x103815),f915(x103814,x103815)),f844(f844(f251(x103814,x103815),x103818),x103817)),f844(f844(f251(x103814,x103815),x103812),x103813))),f306(f915(x103814,x103815),x103816)))+P105(f844(f844(f328(f915(f915(x103814,x103815),f915(x103814,x103815))),f844(f844(f251(f915(x103814,x103815),f915(x103814,x103815)),f844(f844(f251(x103814,x103815),f824(x103811,x103816,x103813,x103812,x103817,x103818,x103815,x103814)),f825(x103811,x103816,x103813,x103812,x103817,x103818,x103815,x103814))),f844(f844(f251(x103814,x103815),f826(x103811,x103816,x103813,x103812,x103817,x103818,x103815,x103814)),f827(x103811,x103816,x103813,x103812,x103817,x103818,x103815,x103814)))),x103816))
% 202.05/201.93 [9866]~P22(x98667,x98665,x98661,x98668,x98662,x98664)+~P105(f844(f60(x98665),x98666))+~P105(f844(f844(f328(x98665),x98663),x98666))+E(f844(f844(x98661,f844(x98662,x98663)),f844(x98664,f844(f844(f3(f916(x98665,a904)),x98666),f844(f844(f308(x98665),x98663),f188(f916(x98665,a904)))))),f844(x98664,x98666))
% 202.05/201.93 [9874]~P22(x98746,x98743,x98741,x98747,x98748,x98742)+~P105(f844(f60(x98743),x98745))+~P105(f844(f60(x98743),x98744))+E(f844(f844(x98741,f844(x98742,f844(f844(f110(f916(x98743,a904)),x98744),x98745))),f844(x98742,f844(f844(f101(f916(x98743,a904)),x98744),x98745))),f844(f844(x98741,f844(x98742,x98744)),f844(x98742,x98745)))
% 202.05/201.93 [9956]P41(x99561,x99562,x99563,x99564,x99565,f844(f844(x99563,x99566),x99567))+~P41(x99561,x99562,x99563,x99564,f844(f844(f3(f916(x99561,a904)),x99565),f844(f844(f308(x99561),x99568),f188(f916(x99561,a904)))),x99569)+~E(f844(f844(x99563,x99566),x99567),f844(f844(x99563,x99568),x99569))+~P105(f844(f844(f328(x99561),x99568),x99565))
% 202.05/201.93 [9898]~P11(x98986,x98987,x98988,x98989,x989810,x98981)+E(f844(f844(x98981,x98982),x98983),f844(f844(x98981,x98984),x98985))+~P105(f844(f844(f328(f915(x98987,x98987)),f844(f844(f251(x98987,x98987),x98983),x98985)),x989810))+~P105(f844(f844(f328(f915(x98986,x98986)),f844(f844(f251(x98986,x98986),x98982),x98984)),x98989))
% 202.05/201.93 [9502]~P77(x95022)+E(x95021,f188(f916(x95022,a904)))+~P105(f844(f60(x95022),x95021))+P105(f844(f844(f328(x95022),f12(x95022,x95021)),x95021))+~P105(f844(f844(f328(x95022),f844(f844(f110(x95022),f467(x95021,x95022)),f477(x95021,x95022))),f844(f844(f308(x95022),f467(x95021,x95022)),f844(f844(f308(x95022),f477(x95021,x95022)),f188(f916(x95022,a904))))))
% 202.05/201.93 [9503]~P77(x95032)+E(x95031,f188(f916(x95032,a904)))+~P105(f844(f60(x95032),x95031))+P105(f844(f844(f328(x95032),f13(x95032,x95031)),x95031))+~P105(f844(f844(f328(x95032),f844(f844(f101(x95032),f576(x95031,x95032)),f588(x95031,x95032))),f844(f844(f308(x95032),f576(x95031,x95032)),f844(f844(f308(x95032),f588(x95031,x95032)),f188(f916(x95032,a904))))))
% 202.05/201.93 [9534]~P67(x95342)+E(x95341,f188(f916(x95342,a904)))+~P105(f844(f60(x95342),x95341))+P105(f844(f844(f328(x95342),f844(f62(x95342,f80(x95342)),x95341)),x95341))+~P105(f844(f844(f328(x95342),f844(f844(f80(x95342),f641(x95341,x95342)),f652(x95341,x95342))),f844(f844(f308(x95342),f641(x95341,x95342)),f844(f844(f308(x95342),f652(x95341,x95342)),f188(f916(x95342,a904))))))
% 202.05/201.93 [9539]~P108(x95392)+E(x95391,f188(f916(x95392,a904)))+~P105(f844(f60(x95392),x95391))+P105(f844(f844(f328(x95392),f14(x95392,f232(x95392),x95391)),x95391))+~P105(f844(f844(f328(x95392),f844(f844(f232(x95392),f343(x95391,x95392)),f344(x95391,x95392))),f844(f844(f308(x95392),f343(x95391,x95392)),f844(f844(f308(x95392),f344(x95391,x95392)),f188(f916(x95392,a904))))))
% 202.05/201.93 [9540]~P108(x95402)+E(x95401,f188(f916(x95402,a904)))+~P105(f844(f60(x95402),x95401))+P105(f844(f844(f328(x95402),f15(x95402,f233(x95402),x95401)),x95401))+~P105(f844(f844(f328(x95402),f844(f844(f233(x95402),f402(x95401,x95402)),f407(x95401,x95402))),f844(f844(f308(x95402),f402(x95401,x95402)),f844(f844(f308(x95402),f407(x95401,x95402)),f188(f916(x95402,a904))))))
% 202.05/201.93 [6674]~P88(x66742)+E(x66741,f2(x66742))+~E(f844(f844(f79(x66742),x66743),x66741),f2(x66742))+~P105(f844(f844(f234(x66742),f2(x66742)),x66743))+~P105(f844(f844(f234(x66742),f2(x66742)),x66741))
% 202.05/201.93 [6675]~P88(x66752)+E(x66751,f2(x66752))+~E(f844(f844(f79(x66752),x66751),x66753),f2(x66752))+~P105(f844(f844(f234(x66752),f2(x66752)),x66753))+~P105(f844(f844(f234(x66752),f2(x66752)),x66751))
% 202.05/201.93 [7213]~P108(x72132)+~P12(x72132,x72131)+E(x72131,f113(x72132))+~P105(f844(f844(f328(x72132),x72133),f844(f172(x72132),f696(x72131,x72132))))+P105(f844(f844(f234(x72132),f716(x72131,x72132)),x72133))
% 202.05/201.93 [7381]~P108(x73811)+E(f16(x73811,x73812),x73813)+~P105(f844(f60(x73811),x73812))+~P105(f844(f844(f234(x73811),x73813),f350(x73813,x73812,x73811)))+~P105(f844(f844(f328(x73811),x73813),x73812))
% 202.05/201.93 [7414]~P108(x74141)+~P12(x74141,x74142)+~P12(x74141,x74143)+P12(x74141,f844(f844(f134(x74141),x74142),x74143))+P105(f844(f844(f328(x74141),f703(x74143,x74142,x74141)),f844(f172(x74141),x74142)))
% 202.05/201.93 [7415]~P108(x74151)+~P12(x74151,x74152)+~P12(x74151,x74153)+P12(x74151,f844(f844(f134(x74151),x74152),x74153))+P105(f844(f844(f328(x74151),f704(x74153,x74152,x74151)),f844(f172(x74151),x74153)))
% 202.05/201.93 [7479]~P108(x74791)+E(f16(x74791,x74792),x74793)+~P105(f844(f60(x74791),x74792))+P105(f844(f844(f328(x74791),f350(x74793,x74792,x74791)),x74792))+~P105(f844(f844(f328(x74791),x74793),x74792))
% 202.05/201.93 [7480]~P108(x74801)+E(f17(x74801,x74802),x74803)+~P105(f844(f60(x74801),x74802))+P105(f844(f844(f328(x74801),f586(x74803,x74802,x74801)),x74802))+~P105(f844(f844(f328(x74801),x74803),x74802))
% 202.05/201.93 [8041]~P108(x80411)+E(f17(x80411,x80412),x80413)+~P105(f844(f60(x80411),x80412))+~P105(f844(f844(f328(x80411),x80413),x80412))+~P105(f844(f844(f234(x80411),f586(x80413,x80412,x80411)),x80413))
% 202.05/201.93 [8354]~P108(x83541)+~P12(x83541,x83542)+~P12(x83541,x83543)+P12(x83541,f844(f844(f134(x83541),x83542),x83543))+~P105(f844(f844(f234(x83541),f703(x83543,x83542,x83541)),f704(x83543,x83542,x83541)))
% 202.05/201.93 [9142]~P77(x91422)+E(x91421,f188(f916(x91422,a904)))+~E(f844(f844(f110(x91422),f844(x91423,f479(x91421,x91423,x91422))),f844(x91423,f489(x91421,x91423,x91422))),f844(x91423,f844(f844(f110(x91422),f479(x91421,x91423,x91422)),f489(x91421,x91423,x91422))))+E(f12(x91422,f844(f309(x91422,x91422,x91423),x91421)),f844(x91423,f12(x91422,x91421)))+~P105(f844(f60(x91422),x91421))
% 202.05/201.93 [9143]~P77(x91432)+E(x91431,f188(f916(x91432,a904)))+~E(f844(f844(f101(x91432),f844(x91433,f480(x91431,x91433,x91432))),f844(x91433,f487(x91431,x91433,x91432))),f844(x91433,f844(f844(f101(x91432),f480(x91431,x91433,x91432)),f487(x91431,x91433,x91432))))+E(f13(x91432,f844(f309(x91432,x91432,x91433),x91431)),f844(x91433,f13(x91432,x91431)))+~P105(f844(f60(x91432),x91431))
% 202.05/201.93 [9144]~P108(x91442)+E(x91441,f188(f916(x91442,a904)))+~E(f844(f844(f232(x91442),f844(x91443,f481(x91441,x91443,x91442))),f844(x91443,f486(x91441,x91443,x91442))),f844(x91443,f844(f844(f232(x91442),f481(x91441,x91443,x91442)),f486(x91441,x91443,x91442))))+E(f16(x91442,f844(f309(x91442,x91442,x91443),x91441)),f844(x91443,f16(x91442,x91441)))+~P105(f844(f60(x91442),x91441))
% 202.05/201.93 [9145]~P108(x91452)+E(x91451,f188(f916(x91452,a904)))+~E(f844(f844(f233(x91452),f844(x91453,f482(x91451,x91453,x91452))),f844(x91453,f485(x91451,x91453,x91452))),f844(x91453,f844(f844(f233(x91452),f482(x91451,x91453,x91452)),f485(x91451,x91453,x91452))))+E(f17(x91452,f844(f309(x91452,x91452,x91453),x91451)),f844(x91453,f17(x91452,x91451)))+~P105(f844(f60(x91452),x91451))
% 202.05/201.93 [9213]~P108(x92132)+E(x92131,f188(f916(x92132,a904)))+~E(f844(f844(f232(x92132),f844(x92133,f483(x92131,x92133,x92132))),f844(x92133,f484(x92131,x92133,x92132))),f844(x92133,f844(f844(f232(x92132),f483(x92131,x92133,x92132)),f484(x92131,x92133,x92132))))+E(f14(x92132,f232(x92132),f844(f309(x92132,x92132,x92133),x92131)),f844(x92133,f14(x92132,f232(x92132),x92131)))+~P105(f844(f60(x92132),x92131))
% 202.05/201.93 [9214]~P108(x92142)+E(x92141,f188(f916(x92142,a904)))+~E(f844(f844(f233(x92142),f844(x92143,f475(x92141,x92143,x92142))),f844(x92143,f478(x92141,x92143,x92142))),f844(x92143,f844(f844(f233(x92142),f475(x92141,x92143,x92142)),f478(x92141,x92143,x92142))))+E(f15(x92142,f233(x92142),f844(f309(x92142,x92142,x92143),x92141)),f844(x92143,f15(x92142,f233(x92142),x92141)))+~P105(f844(f60(x92142),x92141))
% 202.05/201.93 [6691]~P67(x66912)+E(x66911,f188(f916(x66912,a904)))+~P105(f844(f60(x66912),x66911))+E(f844(f62(x66912,f80(x66912)),f844(f844(f308(x66912),x66913),x66911)),f844(f844(f80(x66912),x66913),f844(f62(x66912,f80(x66912)),x66911)))+P105(f844(f844(f328(x66912),x66913),x66911))
% 202.05/201.93 [7219]~P77(x72192)+E(f844(f844(f110(x72192),f12(x72192,x72191)),f12(x72192,x72193)),f12(x72192,x72193))+E(x72191,f188(f916(x72192,a904)))+~P105(f844(f60(x72192),x72193))+~P105(f844(f844(f234(f916(x72192,a904)),x72191),x72193))
% 202.05/201.93 [7220]~P77(x72202)+E(f844(f844(f101(x72202),f13(x72202,x72201)),f13(x72202,x72203)),f13(x72202,x72203))+E(x72201,f188(f916(x72202,a904)))+~P105(f844(f60(x72202),x72203))+~P105(f844(f844(f234(f916(x72202,a904)),x72201),x72203))
% 202.05/201.93 [7221]~P108(x72212)+E(f844(f844(f232(x72212),f16(x72212,x72211)),f16(x72212,x72213)),f16(x72212,x72213))+E(x72211,f188(f916(x72212,a904)))+~P105(f844(f60(x72212),x72213))+~P105(f844(f844(f234(f916(x72212,a904)),x72211),x72213))
% 202.05/201.93 [7222]~P108(x72222)+E(f844(f844(f233(x72222),f17(x72222,x72221)),f17(x72222,x72223)),f17(x72222,x72223))+E(x72221,f188(f916(x72222,a904)))+~P105(f844(f60(x72222),x72223))+~P105(f844(f844(f234(f916(x72222,a904)),x72221),x72223))
% 202.05/201.93 [7527]~P108(x75272)+E(x75271,f188(f916(x75272,a904)))+~P105(f844(f60(x75272),x75273))+P105(f844(f844(f234(x75272),f16(x75272,x75273)),f16(x75272,x75271)))+~P105(f844(f844(f234(f916(x75272,a904)),x75271),x75273))
% 202.05/201.93 [7528]~P108(x75282)+E(x75281,f188(f916(x75282,a904)))+~P105(f844(f60(x75282),x75283))+P105(f844(f844(f234(x75282),f17(x75282,x75281)),f17(x75282,x75283)))+~P105(f844(f844(f234(f916(x75282,a904)),x75281),x75283))
% 202.05/201.93 [7582]~P77(x75821)+E(f12(x75821,x75822),x75823)+~P105(f844(f60(x75821),x75822))+~E(f844(f844(f3(f916(x75821,a904)),x75822),f844(f844(f308(x75821),x75823),f188(f916(x75821,a904)))),f188(f916(x75821,a904)))+~P105(f844(f844(f328(x75821),x75823),x75822))
% 202.05/201.93 [7583]~P77(x75831)+E(f13(x75831,x75832),x75833)+~P105(f844(f60(x75831),x75832))+~E(f844(f844(f3(f916(x75831,a904)),x75832),f844(f844(f308(x75831),x75833),f188(f916(x75831,a904)))),f188(f916(x75831,a904)))+~P105(f844(f844(f328(x75831),x75833),x75832))
% 202.05/201.93 [7584]~P108(x75841)+E(f16(x75841,x75842),x75843)+~P105(f844(f60(x75841),x75842))+~E(f844(f844(f3(f916(x75841,a904)),x75842),f844(f844(f308(x75841),x75843),f188(f916(x75841,a904)))),f188(f916(x75841,a904)))+~P105(f844(f844(f328(x75841),x75843),x75842))
% 202.05/201.93 [7585]~P108(x75851)+E(f17(x75851,x75852),x75853)+~P105(f844(f60(x75851),x75852))+~E(f844(f844(f3(f916(x75851,a904)),x75852),f844(f844(f308(x75851),x75853),f188(f916(x75851,a904)))),f188(f916(x75851,a904)))+~P105(f844(f844(f328(x75851),x75853),x75852))
% 202.05/201.93 [7678]~P108(x76781)+E(f14(x76781,f232(x76781),x76782),x76783)+~P105(f844(f60(x76781),x76782))+~E(f844(f844(f3(f916(x76781,a904)),x76782),f844(f844(f308(x76781),x76783),f188(f916(x76781,a904)))),f188(f916(x76781,a904)))+~P105(f844(f844(f328(x76781),x76783),x76782))
% 202.05/201.93 [7679]~P108(x76791)+E(f15(x76791,f233(x76791),x76792),x76793)+~P105(f844(f60(x76791),x76792))+~E(f844(f844(f3(f916(x76791,a904)),x76792),f844(f844(f308(x76791),x76793),f188(f916(x76791,a904)))),f188(f916(x76791,a904)))+~P105(f844(f844(f328(x76791),x76793),x76792))
% 202.05/201.93 [7714]~P101(x77142)+E(x77141,f188(f916(x77142,a904)))+~P105(f844(f60(x77142),x77141))+~P105(f844(f844(f234(x77142),x77143),f611(x77143,x77141,x77142)))+P105(f844(f844(f234(x77142),x77143),f844(f62(x77142,f101(x77142)),x77141)))
% 202.05/201.93 [7715]~P108(x77152)+E(x77151,f188(f916(x77152,a904)))+~P105(f844(f60(x77152),x77151))+~P105(f844(f844(f234(x77152),x77153),f896(x77153,x77151,x77152)))+P105(f844(f844(f234(x77152),x77153),f844(f62(x77152,f232(x77152)),x77151)))
% 202.05/201.93 [7716]~P108(x77162)+E(x77161,f188(f916(x77162,a904)))+~P105(f844(f60(x77162),x77161))+~P105(f844(f844(f235(x77162),x77163),f897(x77163,x77161,x77162)))+P105(f844(f844(f235(x77162),x77163),f844(f62(x77162,f232(x77162)),x77161)))
% 202.05/201.93 [7801]~P101(x78012)+E(x78011,f188(f916(x78012,a904)))+~P105(f844(f60(x78012),x78011))+P105(f844(f844(f328(x78012),f611(x78013,x78011,x78012)),x78011))+P105(f844(f844(f234(x78012),x78013),f844(f62(x78012,f101(x78012)),x78011)))
% 202.05/201.93 [7802]~P108(x78022)+E(x78021,f188(f916(x78022,a904)))+~P105(f844(f60(x78022),x78021))+P105(f844(f844(f328(x78022),f896(x78023,x78021,x78022)),x78021))+P105(f844(f844(f234(x78022),x78023),f844(f62(x78022,f232(x78022)),x78021)))
% 202.05/201.93 [7803]~P108(x78032)+E(x78031,f188(f916(x78032,a904)))+~P105(f844(f60(x78032),x78031))+P105(f844(f844(f328(x78032),f897(x78033,x78031,x78032)),x78031))+P105(f844(f844(f235(x78032),x78033),f844(f62(x78032,f232(x78032)),x78031)))
% 202.05/201.93 [7922]~P108(x79222)+E(x79221,f188(f916(x79222,a904)))+E(f844(f844(f232(x79222),f14(x79222,f232(x79222),x79221)),f14(x79222,f232(x79222),x79223)),f14(x79222,f232(x79222),x79223))+~P105(f844(f60(x79222),x79223))+~P105(f844(f844(f234(f916(x79222,a904)),x79221),x79223))
% 202.05/201.93 [7923]~P108(x79232)+E(x79231,f188(f916(x79232,a904)))+E(f844(f844(f233(x79232),f15(x79232,f233(x79232),x79231)),f15(x79232,f233(x79232),x79233)),f15(x79232,f233(x79232),x79233))+~P105(f844(f60(x79232),x79233))+~P105(f844(f844(f234(f916(x79232,a904)),x79231),x79233))
% 202.05/201.93 [8118]~E(f816(x81181,x81183,x81182),f817(x81181,x81183,x81182))+~E(f844(f34(x81182),f806(x81181,x81183,x81182)),x81181)+E(f844(f844(f80(a908),x81181),f844(f34(f916(x81182,a904)),x81183)),f844(f34(x81182),f36(f916(x81182,a904),x81183)))+~P105(f844(f60(x81182),f36(f916(x81182,a904),x81183)))+~P105(f844(f60(f916(x81182,a904)),x81183))
% 202.05/201.93 [8294]~P108(x82942)+E(x82941,f188(f916(x82942,a904)))+~P105(f844(f60(x82942),x82943))+P105(f844(f844(f234(x82942),f844(f62(x82942,f232(x82942)),x82943)),f844(f62(x82942,f232(x82942)),x82941)))+~P105(f844(f844(f234(f916(x82942,a904)),x82941),x82943))
% 202.05/201.93 [8591]~E(f816(x85911,x85913,x85912),f817(x85911,x85913,x85912))+E(f844(f844(f80(a908),x85911),f844(f34(f916(x85912,a904)),x85913)),f844(f34(x85912),f36(f916(x85912,a904),x85913)))+P105(f844(f844(f328(f916(x85912,a904)),f806(x85911,x85913,x85912)),x85913))+~P105(f844(f60(x85912),f36(f916(x85912,a904),x85913)))+~P105(f844(f60(f916(x85912,a904)),x85913))
% 202.05/201.93 [8617]~E(f844(f34(x86172),f806(x86171,x86173,x86172)),x86171)+E(f844(f844(f80(a908),x86171),f844(f34(f916(x86172,a904)),x86173)),f844(f34(x86172),f36(f916(x86172,a904),x86173)))+P105(f844(f844(f328(f916(x86172,a904)),f817(x86171,x86173,x86172)),x86173))+~P105(f844(f60(x86172),f36(f916(x86172,a904),x86173)))+~P105(f844(f60(f916(x86172,a904)),x86173))
% 202.05/201.93 [8618]~E(f844(f34(x86182),f806(x86181,x86183,x86182)),x86181)+E(f844(f844(f80(a908),x86181),f844(f34(f916(x86182,a904)),x86183)),f844(f34(x86182),f36(f916(x86182,a904),x86183)))+P105(f844(f844(f328(f916(x86182,a904)),f816(x86181,x86183,x86182)),x86183))+~P105(f844(f60(x86182),f36(f916(x86182,a904),x86183)))+~P105(f844(f60(f916(x86182,a904)),x86183))
% 202.05/201.93 [8642]~E(f844(f34(x86422),f806(x86421,x86423,x86422)),x86421)+~E(f844(f844(f101(f916(x86422,a904)),f817(x86421,x86423,x86422)),f816(x86421,x86423,x86422)),f188(f916(x86422,a904)))+E(f844(f844(f80(a908),x86421),f844(f34(f916(x86422,a904)),x86423)),f844(f34(x86422),f36(f916(x86422,a904),x86423)))+~P105(f844(f60(f916(x86422,a904)),x86423))+~P105(f844(f60(x86422),f36(f916(x86422,a904),x86423)))
% 202.05/201.93 [8906]E(f844(f844(f80(a908),x89061),f844(f34(f916(x89062,a904)),x89063)),f844(f34(x89062),f36(f916(x89062,a904),x89063)))+P105(f844(f844(f328(f916(x89062,a904)),f806(x89061,x89063,x89062)),x89063))+P105(f844(f844(f328(f916(x89062,a904)),f817(x89061,x89063,x89062)),x89063))+~P105(f844(f60(f916(x89062,a904)),x89063))+~P105(f844(f60(x89062),f36(f916(x89062,a904),x89063)))
% 202.05/201.93 [8907]E(f844(f844(f80(a908),x89071),f844(f34(f916(x89072,a904)),x89073)),f844(f34(x89072),f36(f916(x89072,a904),x89073)))+P105(f844(f844(f328(f916(x89072,a904)),f806(x89071,x89073,x89072)),x89073))+P105(f844(f844(f328(f916(x89072,a904)),f816(x89071,x89073,x89072)),x89073))+~P105(f844(f60(f916(x89072,a904)),x89073))+~P105(f844(f60(x89072),f36(f916(x89072,a904),x89073)))
% 202.05/201.93 [8933]~E(f844(f844(f101(f916(x89332,a904)),f817(x89331,x89333,x89332)),f816(x89331,x89333,x89332)),f188(f916(x89332,a904)))+E(f844(f844(f80(a908),x89331),f844(f34(f916(x89332,a904)),x89333)),f844(f34(x89332),f36(f916(x89332,a904),x89333)))+~P105(f844(f60(f916(x89332,a904)),x89333))+P105(f844(f844(f328(f916(x89332,a904)),f806(x89331,x89333,x89332)),x89333))+~P105(f844(f60(x89332),f36(f916(x89332,a904),x89333)))
% 202.05/201.93 [9188]~P96(x91882)+E(x91881,f188(f916(x91882,a904)))+~E(f844(f844(f80(x91882),f844(x91883,f490(x91881,x91883,x91882))),f844(x91883,f491(x91881,x91883,x91882))),f844(x91883,f844(f844(f80(x91882),f490(x91881,x91883,x91882)),f491(x91881,x91883,x91882))))+~P105(f844(f60(x91882),x91881))+E(f844(f62(x91882,f80(x91882)),f844(f309(x91882,x91882,x91883),x91881)),f844(x91883,f844(f62(x91882,f80(x91882)),x91881)))
% 202.05/201.93 [10116]P105(f844(f844(x101161,x101162),x101163))+P105(f844(f844(f235(a1),f388(x101161,x101163,x101162)),f389(x101161,x101163,x101162)))+P105(f844(f844(f234(a1),f389(x101161,x101163,x101162)),f2(a1)))+P105(f844(f844(x101161,f388(x101161,x101163,x101162)),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f389(x101161,x101163,x101162))))+~P105(f844(f314(f915(a1,a1),a57),f844(f844(f251(a1,a1),x101162),x101163)))
% 202.05/201.93 [10122]P105(f844(f844(x101221,x101222),x101223))+P105(f844(f844(f234(a1),f387(x101221,x101223,x101222)),f2(a1)))+P105(f844(f844(x101221,f384(x101221,x101223,x101222)),f844(f844(f80(a1),f844(f103(a1),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f387(x101221,x101223,x101222))))+P105(f844(f844(f234(a1),f2(a1)),f844(f844(f79(a1),f384(x101221,x101223,x101222)),f387(x101221,x101223,x101222))))+~P105(f844(f314(f915(a1,a1),a51),f844(f844(f251(a1,a1),x101222),x101223)))
% 202.05/201.93 [8090]~P118(x80901)+~P105(f844(f844(f234(x80901),x80902),f77(x80901)))+~P105(f844(f844(f234(x80901),f2(x80901)),x80902))+~P105(f844(f844(f234(x80901),f2(x80901)),x80903))+P105(f844(f844(f234(x80901),f844(f844(f80(x80901),x80902),x80903)),x80903))
% 202.05/201.93 [8091]~P118(x80911)+~P105(f844(f844(f234(x80911),x80913),f77(x80911)))+~P105(f844(f844(f234(x80911),f2(x80911)),x80913))+~P105(f844(f844(f234(x80911),f2(x80911)),x80912))+P105(f844(f844(f234(x80911),f844(f844(f80(x80911),x80912),x80913)),x80912))
% 202.05/201.93 [8439]~P108(x84392)+E(x84391,f188(f916(x84392,a904)))+~P105(f844(f60(x84392),x84391))+P105(f844(f844(f234(x84392),f898(x84393,x84391,x84392)),x84393))+~P105(f844(f844(f234(x84392),f844(f62(x84392,f232(x84392)),x84391)),x84393))
% 202.05/201.93 [8440]~P108(x84402)+E(x84401,f188(f916(x84402,a904)))+~P105(f844(f60(x84402),x84401))+P105(f844(f844(f328(x84402),f898(x84403,x84401,x84402)),x84401))+~P105(f844(f844(f234(x84402),f844(f62(x84402,f232(x84402)),x84401)),x84403))
% 202.05/201.93 [8441]~P108(x84412)+E(x84411,f188(f916(x84412,a904)))+~P105(f844(f60(x84412),x84411))+P105(f844(f844(f328(x84412),f899(x84413,x84411,x84412)),x84411))+~P105(f844(f844(f235(x84412),f844(f62(x84412,f232(x84412)),x84411)),x84413))
% 202.05/201.93 [8442]~P108(x84422)+E(x84421,f188(f916(x84422,a904)))+~P105(f844(f60(x84422),x84421))+P105(f844(f844(f235(x84422),f899(x84423,x84421,x84422)),x84423))+~P105(f844(f844(f235(x84422),f844(f62(x84422,f232(x84422)),x84421)),x84423))
% 202.05/201.93 [8527]~P105(f844(x85271,x85273))+P105(f844(x85271,f446(x85271,x85272)))+P105(f844(x85271,f433(x85271,x85272)))+~P105(f844(f844(f235(a1),f2(a1)),x85272))+P105(f844(x85271,f844(f844(f3(a1),f433(x85271,x85272)),f844(f844(f80(a1),f447(x85271,x85272)),x85272))))
% 202.05/201.93 [8743]~P105(f844(x87431,x87433))+P105(f844(x87431,f433(x87431,x87432)))+~P105(f844(f844(f235(a1),f2(a1)),x87432))+P105(f844(f844(f328(a1),f446(x87431,x87432)),f302(a1,f77(a1),x87432)))+P105(f844(x87431,f844(f844(f3(a1),f433(x87431,x87432)),f844(f844(f80(a1),f447(x87431,x87432)),x87432))))
% 202.05/201.93 [8955]~P105(f844(x89551,x89553))+~P105(f844(x89551,f433(x89551,x89552)))+P105(f844(x89551,f446(x89551,x89552)))+~P105(f844(f844(f235(a1),f2(a1)),x89552))+~P105(f844(x89551,f844(f844(f3(a1),f433(x89551,x89552)),f844(f844(f80(a1),f447(x89551,x89552)),x89552))))
% 202.05/201.93 [9079]~P105(f844(x90791,x90793))+~P105(f844(x90791,f433(x90791,x90792)))+~P105(f844(f844(f235(a1),f2(a1)),x90792))+P105(f844(f844(f328(a1),f446(x90791,x90792)),f302(a1,f77(a1),x90792)))+~P105(f844(x90791,f844(f844(f3(a1),f433(x90791,x90792)),f844(f844(f80(a1),f447(x90791,x90792)),x90792))))
% 202.05/201.93 [8861]~P77(x88611)+~P105(f844(f60(x88611),x88612))+E(f844(f844(f3(f916(x88611,a904)),x88612),f844(f844(f308(x88611),x88613),f188(f916(x88611,a904)))),f188(f916(x88611,a904)))+~P105(f844(f844(f328(x88611),x88613),x88612))+E(f844(f844(f110(x88611),x88613),f12(x88611,f844(f844(f3(f916(x88611,a904)),x88612),f844(f844(f308(x88611),x88613),f188(f916(x88611,a904)))))),f12(x88611,x88612))
% 202.05/201.93 [8862]~P77(x88621)+~P105(f844(f60(x88621),x88622))+E(f844(f844(f3(f916(x88621,a904)),x88622),f844(f844(f308(x88621),x88623),f188(f916(x88621,a904)))),f188(f916(x88621,a904)))+~P105(f844(f844(f328(x88621),x88623),x88622))+E(f844(f844(f101(x88621),x88623),f13(x88621,f844(f844(f3(f916(x88621,a904)),x88622),f844(f844(f308(x88621),x88623),f188(f916(x88621,a904)))))),f13(x88621,x88622))
% 202.05/201.93 [8863]~P108(x88631)+~P105(f844(f60(x88631),x88632))+E(f844(f844(f3(f916(x88631,a904)),x88632),f844(f844(f308(x88631),x88633),f188(f916(x88631,a904)))),f188(f916(x88631,a904)))+~P105(f844(f844(f328(x88631),x88633),x88632))+E(f844(f844(f232(x88631),x88633),f16(x88631,f844(f844(f3(f916(x88631,a904)),x88632),f844(f844(f308(x88631),x88633),f188(f916(x88631,a904)))))),f16(x88631,x88632))
% 202.05/201.93 [8864]~P108(x88641)+~P105(f844(f60(x88641),x88642))+E(f844(f844(f3(f916(x88641,a904)),x88642),f844(f844(f308(x88641),x88643),f188(f916(x88641,a904)))),f188(f916(x88641,a904)))+~P105(f844(f844(f328(x88641),x88643),x88642))+E(f844(f844(f233(x88641),x88643),f17(x88641,f844(f844(f3(f916(x88641,a904)),x88642),f844(f844(f308(x88641),x88643),f188(f916(x88641,a904)))))),f17(x88641,x88642))
% 202.05/201.93 [8926]~P108(x89261)+~P105(f844(f60(x89261),x89262))+E(f844(f844(f3(f916(x89261,a904)),x89262),f844(f844(f308(x89261),x89263),f188(f916(x89261,a904)))),f188(f916(x89261,a904)))+~P105(f844(f844(f328(x89261),x89263),x89262))+E(f844(f844(f232(x89261),x89263),f14(x89261,f232(x89261),f844(f844(f3(f916(x89261,a904)),x89262),f844(f844(f308(x89261),x89263),f188(f916(x89261,a904)))))),f14(x89261,f232(x89261),x89262))
% 202.05/201.93 [8927]~P108(x89271)+~P105(f844(f60(x89271),x89272))+E(f844(f844(f3(f916(x89271,a904)),x89272),f844(f844(f308(x89271),x89273),f188(f916(x89271,a904)))),f188(f916(x89271,a904)))+~P105(f844(f844(f328(x89271),x89273),x89272))+E(f844(f844(f233(x89271),x89273),f15(x89271,f233(x89271),f844(f844(f3(f916(x89271,a904)),x89272),f844(f844(f308(x89271),x89273),f188(f916(x89271,a904)))))),f15(x89271,f233(x89271),x89272))
% 202.05/201.93 [8942]~P77(x89421)+~P105(f844(f60(x89421),x89423))+~P105(f844(f60(x89421),x89422))+E(f844(f844(f101(f916(x89421,a904)),x89422),x89423),f188(f916(x89421,a904)))+E(f844(f844(f110(x89421),f12(x89421,f844(f844(f110(f916(x89421,a904)),x89422),x89423))),f12(x89421,f844(f844(f101(f916(x89421,a904)),x89422),x89423))),f844(f844(f110(x89421),f12(x89421,x89422)),f12(x89421,x89423)))
% 202.05/201.93 [8943]~P77(x89431)+~P105(f844(f60(x89431),x89433))+~P105(f844(f60(x89431),x89432))+E(f844(f844(f101(f916(x89431,a904)),x89432),x89433),f188(f916(x89431,a904)))+E(f844(f844(f101(x89431),f13(x89431,f844(f844(f110(f916(x89431,a904)),x89432),x89433))),f13(x89431,f844(f844(f101(f916(x89431,a904)),x89432),x89433))),f844(f844(f101(x89431),f13(x89431,x89432)),f13(x89431,x89433)))
% 202.05/201.93 [8944]~P108(x89441)+~P105(f844(f60(x89441),x89443))+~P105(f844(f60(x89441),x89442))+E(f844(f844(f101(f916(x89441,a904)),x89442),x89443),f188(f916(x89441,a904)))+E(f844(f844(f232(x89441),f16(x89441,f844(f844(f110(f916(x89441,a904)),x89442),x89443))),f16(x89441,f844(f844(f101(f916(x89441,a904)),x89442),x89443))),f844(f844(f232(x89441),f16(x89441,x89442)),f16(x89441,x89443)))
% 202.05/201.93 [8945]~P108(x89451)+~P105(f844(f60(x89451),x89453))+~P105(f844(f60(x89451),x89452))+E(f844(f844(f101(f916(x89451,a904)),x89452),x89453),f188(f916(x89451,a904)))+E(f844(f844(f233(x89451),f17(x89451,f844(f844(f110(f916(x89451,a904)),x89452),x89453))),f17(x89451,f844(f844(f101(f916(x89451,a904)),x89452),x89453))),f844(f844(f233(x89451),f17(x89451,x89452)),f17(x89451,x89453)))
% 202.05/201.93 [9160]~P108(x91601)+~P105(f844(f60(x91601),x91603))+~P105(f844(f60(x91601),x91602))+E(f844(f844(f101(f916(x91601,a904)),x91602),x91603),f188(f916(x91601,a904)))+E(f844(f844(f232(x91601),f14(x91601,f232(x91601),f844(f844(f110(f916(x91601,a904)),x91602),x91603))),f14(x91601,f232(x91601),f844(f844(f101(f916(x91601,a904)),x91602),x91603))),f844(f844(f232(x91601),f14(x91601,f232(x91601),x91602)),f14(x91601,f232(x91601),x91603)))
% 202.05/201.93 [9161]~P108(x91611)+~P105(f844(f60(x91611),x91613))+~P105(f844(f60(x91611),x91612))+E(f844(f844(f101(f916(x91611,a904)),x91612),x91613),f188(f916(x91611,a904)))+E(f844(f844(f233(x91611),f15(x91611,f233(x91611),f844(f844(f110(f916(x91611,a904)),x91612),x91613))),f15(x91611,f233(x91611),f844(f844(f101(f916(x91611,a904)),x91612),x91613))),f844(f844(f233(x91611),f15(x91611,f233(x91611),x91612)),f15(x91611,f233(x91611),x91613)))
% 202.05/201.93 [9953]~P124(x99533)+E(x99531,x99532)+~P105(f844(f844(f234(x99533),f2(x99533)),x99532))+~P105(f844(f844(f234(x99533),f2(x99533)),x99531))+~E(f844(f844(f243(x99533),x99531),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))),f844(f844(f243(x99533),x99532),f844(f103(a908),f844(f844(f79(a1),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)),f844(f844(f3(a1),f844(f844(f79(a1),a82),a82)),a97)))))
% 202.05/201.93 [6488]E(f861(x64881,x64882,x64883),x64884)+E(f844(x64881,x64884),f2(a908))+~E(f844(f844(f8(x64883,a908),x64881),x64882),f77(a908))+~P105(f844(f60(x64883),x64882))+~P105(f844(f844(f328(x64883),x64884),x64882))
% 202.05/201.93 [6551]E(f863(x65511,x65512,x65513),x65514)+E(f844(x65511,x65514),f2(a908))+~E(f844(f844(f8(x65513,a908),x65511),x65512),f844(a112,f2(a908)))+~P105(f844(f60(x65513),x65512))+~P105(f844(f844(f328(x65513),x65514),x65512))
% 202.05/201.93 [6660]~P108(x66601)+~P4(x66601)+P105(f844(f844(f235(x66601),x66602),f36(x66601,x66603)))+~P105(f844(f844(f235(x66601),x66602),x66604))+~P105(f844(f844(f328(x66601),x66604),x66603))
% 202.05/201.93 [6838]~P108(x68381)+~P4(x68381)+~P105(f844(f844(f235(x68381),x68384),x68383))+P105(f844(f844(f235(x68381),f37(x68381,x68382)),x68383))+~P105(f844(f844(f328(x68381),x68384),x68382))
% 202.05/201.93 [7097]~P124(x70973)+E(x70971,x70972)+~E(f844(f844(f243(x70973),x70971),f844(a112,x70974)),f844(f844(f243(x70973),x70972),f844(a112,x70974)))+~P105(f844(f844(f234(x70973),f2(x70973)),x70972))+~P105(f844(f844(f234(x70973),f2(x70973)),x70971))
% 202.05/201.93 [7308]~E(f868(x73082,x73083,x73081,x73084),x73084)+~E(f844(x73082,x73084),f77(a908))+E(f844(f844(f8(x73081,a908),x73082),x73083),f77(a908))+~P105(f844(f60(x73081),x73083))+~P105(f844(f844(f328(x73081),x73084),x73083))
% 202.05/201.93 [7315]~P112(x73154)+~P132(x73154)+E(f844(x73151,f858(x73151,x73152,x73153,x73154)),f2(x73154))+~E(f844(f844(f11(x73153,x73154),x73151),x73152),f2(x73154))+~P105(f844(f60(x73153),x73152))
% 202.05/201.93 [7404]~E(f866(x74042,x74043,x74041,x74044),x74044)+~E(f844(x74042,x74044),f844(a112,f2(a908)))+E(f844(f844(f8(x74041,a908),x74042),x74043),f844(a112,f2(a908)))+~P105(f844(f60(x74041),x74043))+~P105(f844(f844(f328(x74041),x74044),x74043))
% 202.05/201.93 [8130]~E(f844(x81302,x81304),f77(a908))+~E(f844(x81302,f868(x81302,x81303,x81301,x81304)),f2(a908))+E(f844(f844(f8(x81301,a908),x81302),x81303),f77(a908))+~P105(f844(f60(x81301),x81303))+~P105(f844(f844(f328(x81301),x81304),x81303))
% 202.05/201.93 [8168]~E(f844(x81682,x81684),f844(a112,f2(a908)))+~E(f844(x81682,f866(x81682,x81683,x81681,x81684)),f2(a908))+E(f844(f844(f8(x81681,a908),x81682),x81683),f844(a112,f2(a908)))+~P105(f844(f60(x81681),x81683))+~P105(f844(f844(f328(x81681),x81684),x81683))
% 202.05/201.93 [8710]~P108(x87101)+~P12(x87101,x87104)+P12(x87101,x87102)+~E(x87102,f844(f844(f151(x87101),x87103),x87104))+~P105(f844(f844(f234(x87101),x87103),f718(x87102,x87101,x87104,x87103)))
% 202.05/201.93 [8747]E(x87471,x87472)+E(f844(f844(f3(a1),f434(x87473,x87472,x87474,x87471)),f435(x87473,x87472,x87474,x87471)),x87471)+~E(f844(f844(f79(a1),x87471),x87474),x87472)+~P105(f844(f844(f235(a1),f2(a1)),x87474))+~P105(f844(f844(f328(a1),x87472),x87473))
% 202.05/201.93 [8748]E(x87481,x87482)+E(f844(f844(f79(a1),f437(x87483,x87482,x87484,x87481)),f438(x87483,x87482,x87484,x87481)),x87481)+~E(f844(f844(f3(a1),x87481),x87484),x87482)+~P105(f844(f844(f235(a1),f2(a1)),x87484))+~P105(f844(f844(f328(a1),x87482),x87483))
% 202.05/201.93 [8940]E(f844(x89401,f355(x89402,x89401,x89403,x89404)),x89402)+P105(f844(f844(f234(a908),x89404),f356(x89402,x89401,x89403,x89404)))+~P105(f844(f844(f234(a1),x89402),f844(x89401,x89403)))+~P105(f844(f844(f235(a908),x89404),x89403))+~P105(f844(f844(f234(a1),f844(x89401,x89404)),x89402))
% 202.05/201.93 [8941]~P108(x89411)+~P12(x89411,x89413)+P12(x89411,x89412)+~E(x89412,f844(f844(f151(x89411),x89414),x89413))+P105(f844(f844(f328(x89411),f718(x89412,x89411,x89413,x89414)),f844(f172(x89411),x89413)))
% 202.05/201.93 [8959]~P112(x89594)+~P132(x89594)+~E(f844(f844(f11(x89591,x89594),x89592),x89593),f2(x89594))+~P105(f844(f60(x89591),x89593))+P105(f844(f844(f328(x89591),f858(x89592,x89593,x89591,x89594)),x89593))
% 202.05/201.93 [8997]~E(f844(x89972,x89974),f77(a908))+E(f844(f844(f8(x89971,a908),x89972),x89973),f77(a908))+~P105(f844(f60(x89971),x89973))+~P105(f844(f844(f328(x89971),x89974),x89973))+P105(f844(f844(f328(x89971),f868(x89972,x89973,x89971,x89974)),x89973))
% 202.05/201.93 [9009]E(x90091,x90092)+~E(f844(f844(f79(a1),x90092),x90094),x90091)+~P105(f844(f844(f235(a1),f2(a1)),x90094))+~P105(f844(f844(f328(a1),x90091),x90093))+P105(f844(f844(f328(a1),f434(x90093,x90091,x90094,x90092)),x90093))
% 202.05/201.93 [9010]E(x90101,x90102)+~E(f844(f844(f3(a1),x90102),x90104),x90101)+~P105(f844(f844(f235(a1),f2(a1)),x90104))+~P105(f844(f844(f328(a1),x90101),x90103))+P105(f844(f844(f328(a1),f437(x90103,x90101,x90104,x90102)),x90103))
% 202.05/201.93 [9012]~E(f844(x90122,x90124),f844(a112,f2(a908)))+E(f844(f844(f8(x90121,a908),x90122),x90123),f844(a112,f2(a908)))+~P105(f844(f60(x90121),x90123))+~P105(f844(f844(f328(x90121),x90124),x90123))+P105(f844(f844(f328(x90121),f866(x90122,x90123,x90121,x90124)),x90123))
% 202.05/201.93 [9017]P57(x90172,x90173,x90174,x90171)+E(x90171,f188(f916(x90172,a904)))+~P105(f844(f60(x90172),x90174))+~P105(f844(f60(x90172),x90171))+P105(f844(f844(f328(x90172),f783(x90173,x90171,x90174,x90172)),x90174))
% 202.05/201.93 [9018]P57(x90182,x90183,x90184,x90181)+E(x90181,f188(f916(x90182,a904)))+~P105(f844(f60(x90182),x90184))+~P105(f844(f60(x90182),x90181))+P105(f844(f844(f328(x90182),f516(x90181,x90184,x90183,x90182)),x90184))
% 202.05/201.93 [9019]P57(x90192,x90193,x90194,x90191)+E(x90191,f188(f916(x90192,a904)))+~P105(f844(f60(x90192),x90194))+~P105(f844(f60(x90192),x90191))+P105(f844(f844(f328(x90192),f784(x90191,x90194,x90193,x90192)),x90194))
% 202.05/201.93 [9092]E(x90921,x90922)+~E(f844(f844(f79(a1),x90922),x90924),x90921)+~P105(f844(f844(f235(a1),f2(a1)),x90924))+~P105(f844(f844(f328(a1),x90921),x90923))+P105(f844(f844(f328(a1),f435(x90923,x90921,x90924,x90922)),f302(a1,f77(a1),x90924)))
% 202.05/201.93 [9093]E(x90931,x90932)+~E(f844(f844(f3(a1),x90932),x90934),x90931)+~P105(f844(f844(f235(a1),f2(a1)),x90934))+~P105(f844(f844(f328(a1),x90931),x90933))+P105(f844(f844(f328(a1),f438(x90933,x90931,x90934,x90932)),f302(a1,f77(a1),x90934)))
% 202.05/201.93 [9166]P105(f844(f844(f234(a908),x91661),f355(x91662,x91663,x91664,x91661)))+~P105(f844(f844(f234(a1),x91662),f844(x91663,x91664)))+P105(f844(f844(f234(a908),x91661),f356(x91662,x91663,x91664,x91661)))+~P105(f844(f844(f235(a908),x91661),x91664))+~P105(f844(f844(f234(a1),f844(x91663,x91661)),x91662))
% 202.05/201.93 [9280]E(f844(x92801,f355(x92802,x92801,x92803,x92804)),x92802)+~P105(f844(f844(f234(a1),x92802),f844(x92801,x92803)))+P105(f844(f844(f235(a908),f356(x92802,x92801,x92803,x92804)),x92803))+~P105(f844(f844(f235(a908),x92804),x92803))+~P105(f844(f844(f234(a1),f844(x92801,x92804)),x92802))
% 202.05/201.93 [9408]~P105(f844(f844(f234(a1),x94082),f844(x94083,x94084)))+P105(f844(f844(f234(a908),x94081),f356(x94082,x94083,x94084,x94081)))+P105(f844(f844(f234(a908),f355(x94082,x94083,x94084,x94081)),x94084))+~P105(f844(f844(f235(a908),x94081),x94084))+~P105(f844(f844(f234(a1),f844(x94083,x94081)),x94082))
% 202.05/201.93 [9409]~P105(f844(f844(f234(a1),x94092),f844(x94093,x94094)))+P105(f844(f844(f234(a908),x94091),f355(x94092,x94093,x94094,x94091)))+P105(f844(f844(f235(a908),f356(x94092,x94093,x94094,x94091)),x94094))+~P105(f844(f844(f235(a908),x94091),x94094))+~P105(f844(f844(f234(a1),f844(x94093,x94091)),x94092))
% 202.05/201.93 [9517]~P105(f844(f844(f234(a1),x95171),f844(x95172,x95173)))+P105(f844(f844(f235(a908),f356(x95171,x95172,x95173,x95174)),x95173))+~P105(f844(f844(f235(a908),x95174),x95173))+~P105(f844(f844(f234(a1),f844(x95172,x95174)),x95171))+P105(f844(f844(f234(a908),f355(x95171,x95172,x95173,x95174)),x95173))
% 202.05/201.93 [9601]E(x96011,f188(f916(x96012,a904)))+~P105(f844(f60(x96012),x96014))+~P105(f844(f60(x96012),x96011))+P105(f844(f844(f328(f915(f916(x96012,a904),f916(x96012,a904))),f844(f844(f251(f916(x96012,a904),f916(x96012,a904)),x96014),x96011)),f317(x96012,x96013)))+P105(f844(f844(f328(x96012),f519(x96013,x96011,x96014,x96012)),x96014))
% 202.05/201.93 [9602]E(x96021,f188(f916(x96022,a904)))+~P105(f844(f60(x96022),x96024))+~P105(f844(f60(x96022),x96021))+P105(f844(f844(f328(f915(f916(x96022,a904),f916(x96022,a904))),f844(f844(f251(f916(x96022,a904),f916(x96022,a904)),x96024),x96021)),f317(x96022,x96023)))+P105(f844(f844(f328(x96022),f592(x96023,x96021,x96024,x96022)),x96024))
% 202.05/201.93 [10270]E(f844(x102701,f355(x102702,x102701,x102703,x102704)),x102702)+~P105(f844(f844(f234(a1),x102702),f844(x102701,x102703)))+~P105(f844(f844(f234(a1),f844(f75(a1),f844(f844(f3(a1),f844(x102701,f844(f844(f79(a908),f356(x102702,x102701,x102703,x102704)),f77(a908)))),f844(x102701,f356(x102702,x102701,x102703,x102704))))),f77(a1)))+~P105(f844(f844(f235(a908),x102704),x102703))+~P105(f844(f844(f234(a1),f844(x102701,x102704)),x102702))
% 202.05/201.93 [10271]~P105(f844(f844(f234(a1),x102712),f844(x102713,x102714)))+P105(f844(f844(f234(a908),x102711),f355(x102712,x102713,x102714,x102711)))+~P105(f844(f844(f234(a1),f844(f75(a1),f844(f844(f3(a1),f844(x102713,f844(f844(f79(a908),f356(x102712,x102713,x102714,x102711)),f77(a908)))),f844(x102713,f356(x102712,x102713,x102714,x102711))))),f77(a1)))+~P105(f844(f844(f235(a908),x102711),x102714))+~P105(f844(f844(f234(a1),f844(x102713,x102711)),x102712))
% 202.05/201.93 [10272]~P105(f844(f844(f234(a1),x102721),f844(x102722,x102723)))+~P105(f844(f844(f234(a1),f844(f75(a1),f844(f844(f3(a1),f844(x102722,f844(f844(f79(a908),f356(x102721,x102722,x102723,x102724)),f77(a908)))),f844(x102722,f356(x102721,x102722,x102723,x102724))))),f77(a1)))+~P105(f844(f844(f235(a908),x102724),x102723))+~P105(f844(f844(f234(a1),f844(x102722,x102724)),x102721))+P105(f844(f844(f234(a908),f355(x102721,x102722,x102723,x102724)),x102723))
% 202.05/201.93 [7367]~P64(x73671)+P105(f844(f844(f235(x73671),x73672),f2(x73671)))+~P105(f844(f844(f234(x73671),x73673),f2(x73671)))+P105(f844(f844(f235(x73671),f2(x73671)),x73672))+P105(f844(f844(f234(x73671),x73673),f844(f844(f290(x73671),x73674),x73672)))
% 202.05/201.93 [7368]~P64(x73681)+P105(f844(f844(f235(x73681),x73682),f2(x73681)))+~P105(f844(f844(f235(x73681),x73683),f2(x73681)))+P105(f844(f844(f235(x73681),f2(x73681)),x73682))+P105(f844(f844(f235(x73681),x73683),f844(f844(f290(x73681),x73684),x73682)))
% 202.05/201.93 [7619]~P64(x76191)+P105(f844(f844(f234(x76191),x76192),f2(x76191)))+P105(f844(f844(f235(x76191),x76193),f2(x76191)))+P105(f844(f844(f235(x76191),f2(x76191)),x76193))+~P105(f844(f844(f234(x76191),x76192),f844(f844(f290(x76191),x76194),x76193)))
% 202.05/201.93 [7620]~P64(x76201)+P105(f844(f844(f235(x76201),x76202),f2(x76201)))+P105(f844(f844(f235(x76201),x76203),f2(x76201)))+P105(f844(f844(f235(x76201),f2(x76201)),x76203))+~P105(f844(f844(f235(x76201),x76202),f844(f844(f290(x76201),x76204),x76203)))
% 202.05/201.93 [7735]E(x77351,x77352)+~E(f844(f844(f164(x77353),x77354),x77351),f844(f844(f164(x77353),x77354),x77352))+~P105(f844(f137(x77353),x77354))+~P105(f844(f844(f235(a908),x77352),f844(f189(f909(x77353)),x77354)))+~P105(f844(f844(f235(a908),x77351),f844(f189(f909(x77353)),x77354)))
% 202.05/201.93 [8092]~P64(x80921)+~P105(f844(f844(f234(x80921),x80923),f2(x80921)))+P105(f844(f844(f235(x80921),f2(x80921)),x80922))+~P105(f844(f844(f234(x80921),x80924),f844(f844(f80(x80921),x80923),x80922)))+P105(f844(f844(f234(x80921),x80923),f844(f844(f290(x80921),x80924),x80922)))
% 202.05/201.93 [8093]~P64(x80931)+~P105(f844(f844(f235(x80931),x80933),f2(x80931)))+P105(f844(f844(f235(x80931),f2(x80931)),x80932))+~P105(f844(f844(f235(x80931),x80934),f844(f844(f80(x80931),x80933),x80932)))+P105(f844(f844(f235(x80931),x80933),f844(f844(f290(x80931),x80934),x80932)))
% 202.05/201.93 [8094]~P64(x80941)+~P105(f844(f844(f235(x80941),x80942),f2(x80941)))+P105(f844(f844(f235(x80941),f2(x80941)),x80942))+~P105(f844(f844(f234(x80941),x80944),f844(f844(f80(x80941),x80943),x80942)))+P105(f844(f844(f234(x80941),x80943),f844(f844(f290(x80941),x80944),x80942)))
% 202.05/201.93 [8095]~P64(x80951)+~P105(f844(f844(f235(x80951),x80952),f2(x80951)))+P105(f844(f844(f235(x80951),f2(x80951)),x80952))+~P105(f844(f844(f234(x80951),x80954),f844(f844(f290(x80951),x80953),x80952)))+P105(f844(f844(f234(x80951),x80953),f844(f844(f80(x80951),x80954),x80952)))
% 202.05/201.93 [8096]~P64(x80961)+~P105(f844(f844(f235(x80961),x80962),f2(x80961)))+P105(f844(f844(f235(x80961),f2(x80961)),x80962))+~P105(f844(f844(f235(x80961),x80964),f844(f844(f80(x80961),x80963),x80962)))+P105(f844(f844(f235(x80961),x80963),f844(f844(f290(x80961),x80964),x80962)))
% 202.05/201.93 [8097]~P64(x80971)+~P105(f844(f844(f235(x80971),x80972),f2(x80971)))+P105(f844(f844(f235(x80971),f2(x80971)),x80972))+~P105(f844(f844(f235(x80971),x80974),f844(f844(f290(x80971),x80973),x80972)))+P105(f844(f844(f235(x80971),x80973),f844(f844(f80(x80971),x80974),x80972)))
% 202.05/201.93 [8222]~P59(x82221)+~P105(f844(f844(f286(x82221),x82223),x82224))+~P105(f844(f844(f286(x82221),x82223),x82222))+~P105(f844(f844(f286(x82221),x82222),x82224))+P105(f844(f844(f286(x82221),f844(f844(f35(x82221),x82222),x82223)),f844(f844(f35(x82221),x82224),x82223)))
% 202.05/201.93 [8237]~P108(x82371)+~P12(x82371,x82372)+~P105(f844(f844(f234(a908),x82373),x82374))+P105(f844(f844(f234(x82371),f844(f844(f164(x82371),x82372),x82373)),f844(f844(f164(x82371),x82372),x82374)))+~P105(f844(f844(f235(a908),x82374),f844(f189(f909(x82371)),x82372)))
% 202.05/201.93 [8285]~P124(x82851)+~P105(f844(f844(f234(x82851),x82852),f77(x82851)))+~P105(f844(f844(f234(x82851),f2(x82851)),x82852))+~P105(f844(f844(f234(a908),x82854),x82853))+P105(f844(f844(f234(x82851),f844(f844(f243(x82851),x82852),x82853)),f844(f844(f243(x82851),x82852),x82854)))
% 202.05/201.93 [8286]~P124(x82861)+~P105(f844(f844(f235(x82861),x82862),f77(x82861)))+~P105(f844(f844(f235(x82861),f2(x82861)),x82862))+~P105(f844(f844(f235(a908),x82864),x82863))+P105(f844(f844(f235(x82861),f844(f844(f243(x82861),x82862),x82863)),f844(f844(f243(x82861),x82862),x82864)))
% 202.05/201.93 [8287]~P124(x82871)+~P105(f844(f844(f234(x82871),f2(x82871)),x82872))+~P105(f844(f844(f235(a908),f2(a908)),x82873))+~P105(f844(f844(f235(x82871),x82872),x82874))+P105(f844(f844(f235(x82871),f844(f844(f243(x82871),x82872),x82873)),f844(f844(f243(x82871),x82874),x82873)))
% 202.05/201.93 [8305]~P108(x83051)+~P12(x83051,f844(f168(x83051),x83052))+~P105(f844(f844(f234(a908),x83054),x83053))+P105(f844(f844(f234(x83051),f844(f844(f164(x83051),x83052),x83053)),f844(f844(f164(x83051),x83052),x83054)))+~P105(f844(f844(f235(a908),x83053),f844(f189(f909(x83051)),x83052)))
% 202.05/201.93 [8533]~P59(x85331)+P105(f844(f844(f286(x85331),x85332),x85333))+~P105(f844(f844(f286(x85331),x85334),x85333))+~P105(f844(f844(f286(x85331),x85334),x85332))+~P105(f844(f844(f286(x85331),f844(f844(f35(x85331),x85332),x85334)),f844(f844(f35(x85331),x85333),x85334)))
% 202.05/201.93 [8548]~P64(x85481)+~P105(f844(f844(f234(x85481),x85482),f2(x85481)))+~P105(f844(f844(f234(x85481),x85483),x85484))+~P105(f844(f844(f235(x85481),f2(x85481)),f844(f844(f80(x85481),x85483),x85484)))+P105(f844(f844(f234(x85481),f844(f844(f290(x85481),x85482),x85483)),f844(f844(f290(x85481),x85482),x85484)))
% 202.05/201.93 [8549]~P65(x85491)+~P105(f844(f844(f235(x85491),x85492),f2(x85491)))+~P105(f844(f844(f235(x85491),x85493),x85494))+~P105(f844(f844(f235(x85491),f2(x85491)),f844(f844(f80(x85491),x85493),x85494)))+P105(f844(f844(f235(x85491),f844(f844(f290(x85491),x85492),x85493)),f844(f844(f290(x85491),x85492),x85494)))
% 202.05/201.93 [8558]~P65(x85581)+~P105(f844(f844(f234(x85581),x85584),x85583))+~P105(f844(f844(f234(x85581),f2(x85581)),x85582))+~P105(f844(f844(f235(x85581),f2(x85581)),f844(f844(f80(x85581),x85583),x85584)))+P105(f844(f844(f234(x85581),f844(f844(f290(x85581),x85582),x85583)),f844(f844(f290(x85581),x85582),x85584)))
% 202.05/201.93 [8559]~P65(x85591)+~P105(f844(f844(f235(x85591),x85594),x85593))+~P105(f844(f844(f235(x85591),f2(x85591)),x85592))+~P105(f844(f844(f235(x85591),f2(x85591)),f844(f844(f80(x85591),x85593),x85594)))+P105(f844(f844(f235(x85591),f844(f844(f290(x85591),x85592),x85593)),f844(f844(f290(x85591),x85592),x85594)))
% 202.05/201.93 [8658]P105(f844(x86581,x86582))+~P105(f844(f60(x86584),x86582))+P105(f844(x86581,f454(x86581,x86583,x86582,x86584)))+~P105(f844(x86581,f188(f916(x86584,a904))))+~P105(f844(f844(f234(f916(x86584,a904)),x86582),x86583))
% 202.05/201.93 [8667]P105(f844(x86671,x86672))+P105(f844(f60(x86673),f454(x86671,x86674,x86672,x86673)))+~P105(f844(f60(x86673),x86672))+~P105(f844(x86671,f188(f916(x86673,a904))))+~P105(f844(f844(f234(f916(x86673,a904)),x86672),x86674))
% 202.05/201.93 [8935]E(f844(f844(f79(a1),f439(x89351,x89352,x89353,x89354)),f440(x89351,x89352,x89353,x89354)),x89354)+~P105(f844(f844(f235(a1),f2(a1)),x89353))+~P105(f844(f844(f235(a1),x89352),x89354))+~P105(f844(f844(f328(a1),x89352),x89351))+P105(f844(f844(f235(a1),x89352),f844(f844(f3(a1),x89354),x89353)))
% 202.05/201.93 [9148]~P105(f844(f844(f235(a1),f2(a1)),x91483))+~P105(f844(f844(f235(a1),x91482),x91484))+~P105(f844(f844(f328(a1),x91482),x91481))+P105(f844(f844(f328(a1),f439(x91481,x91482,x91483,x91484)),x91481))+P105(f844(f844(f235(a1),x91482),f844(f844(f3(a1),x91484),x91483)))
% 202.05/201.93 [9159]P105(f844(x91591,x91592))+~P105(f844(f60(x91593),x91592))+P105(f844(f844(f328(x91593),f443(x91591,x91594,x91592,x91593)),x91594))+~P105(f844(x91591,f188(f916(x91593,a904))))+~P105(f844(f844(f234(f916(x91593,a904)),x91592),x91594))
% 202.05/201.93 [9176]E(f844(f844(f79(a1),f426(x91761,x91762,x91763,x91764)),f427(x91761,x91762,x91763,x91764)),x91764)+~P105(f844(f844(f235(a1),f2(a1)),x91763))+~P105(f844(f844(f234(a1),x91762),x91764))+P105(f844(f844(f234(a1),x91762),f844(f844(f3(a1),x91764),x91763)))+~P105(f844(f844(f328(a1),f844(f844(f3(a1),x91762),f77(a1))),x91761))
% 202.05/201.93 [9230]~P105(f844(f844(f235(a1),f2(a1)),x92303))+~P105(f844(f844(f235(a1),x92301),x92302))+~P105(f844(f844(f328(a1),x92301),x92304))+P105(f844(f844(f328(a1),f440(x92304,x92301,x92303,x92302)),f302(a1,f77(a1),x92303)))+P105(f844(f844(f235(a1),x92301),f844(f844(f3(a1),x92302),x92303)))
% 202.05/201.93 [9256]~P69(x92562)+~E(f765(x92563,x92564,x92561,x92562),f766(x92563,x92564,x92561,x92562))+~P105(f844(f60(x92561),f767(x92563,x92564,x92561,x92562)))+E(f844(f844(f8(f916(x92561,a904),x92562),f844(f8(x92561,x92562),x92563)),x92564),f844(f844(f8(x92561,x92562),x92563),f36(f916(x92561,a904),x92564)))+~P105(f844(f60(f916(x92561,a904)),x92564))
% 202.05/201.93 [9260]~P69(x92602)+~E(f844(x92603,f769(x92603,x92604,x92601,x92602)),f2(x92602))+~P105(f844(f60(x92601),f767(x92603,x92604,x92601,x92602)))+E(f844(f844(f8(f916(x92601,a904),x92602),f844(f8(x92601,x92602),x92603)),x92604),f844(f844(f8(x92601,x92602),x92603),f36(f916(x92601,a904),x92604)))+~P105(f844(f60(f916(x92601,a904)),x92604))
% 202.05/201.93 [9323]~P105(f844(f844(f235(a1),f2(a1)),x93233))+~P105(f844(f844(f234(a1),x93232),x93234))+P105(f844(f844(f328(a1),f426(x93231,x93232,x93233,x93234)),x93231))+P105(f844(f844(f234(a1),x93232),f844(f844(f3(a1),x93234),x93233)))+~P105(f844(f844(f328(a1),f844(f844(f3(a1),x93232),f77(a1))),x93231))
% 202.05/201.93 [9366]~P105(f844(f844(f235(a1),f2(a1)),x93663))+~P105(f844(f844(f234(a1),x93661),x93662))+P105(f844(f844(f328(a1),f427(x93664,x93661,x93663,x93662)),f302(a1,f77(a1),x93663)))+P105(f844(f844(f234(a1),x93661),f844(f844(f3(a1),x93662),x93663)))+~P105(f844(f844(f328(a1),f844(f844(f3(a1),x93661),f77(a1))),x93664))
% 202.05/201.93 [9387]~P69(x93872)+~E(f765(x93873,x93874,x93871,x93872),f766(x93873,x93874,x93871,x93872))+E(f844(f844(f8(f916(x93871,a904),x93872),f844(f8(x93871,x93872),x93873)),x93874),f844(f844(f8(x93871,x93872),x93873),f36(f916(x93871,a904),x93874)))+P105(f844(f844(f328(f916(x93871,a904)),f767(x93873,x93874,x93871,x93872)),x93874))+~P105(f844(f60(f916(x93871,a904)),x93874))
% 202.05/201.93 [9392]~P69(x93922)+~E(f844(x93923,f769(x93923,x93924,x93921,x93922)),f2(x93922))+E(f844(f844(f8(f916(x93921,a904),x93922),f844(f8(x93921,x93922),x93923)),x93924),f844(f844(f8(x93921,x93922),x93923),f36(f916(x93921,a904),x93924)))+P105(f844(f844(f328(f916(x93921,a904)),f767(x93923,x93924,x93921,x93922)),x93924))+~P105(f844(f60(f916(x93921,a904)),x93924))
% 202.05/201.93 [9494]~P69(x94942)+~P105(f844(f60(x94941),f767(x94943,x94944,x94941,x94942)))+E(f844(f844(f8(f916(x94941,a904),x94942),f844(f8(x94941,x94942),x94943)),x94944),f844(f844(f8(x94941,x94942),x94943),f36(f916(x94941,a904),x94944)))+P105(f844(f844(f328(f916(x94941,a904)),f766(x94943,x94944,x94941,x94942)),x94944))+~P105(f844(f60(f916(x94941,a904)),x94944))
% 202.05/201.93 [9495]~P69(x94952)+~P105(f844(f60(x94951),f767(x94953,x94954,x94951,x94952)))+E(f844(f844(f8(f916(x94951,a904),x94952),f844(f8(x94951,x94952),x94953)),x94954),f844(f844(f8(x94951,x94952),x94953),f36(f916(x94951,a904),x94954)))+P105(f844(f844(f328(f916(x94951,a904)),f765(x94953,x94954,x94951,x94952)),x94954))+~P105(f844(f60(f916(x94951,a904)),x94954))
% 202.05/201.93 [9572]~P69(x95722)+E(f844(f844(f8(f916(x95721,a904),x95722),f844(f8(x95721,x95722),x95723)),x95724),f844(f844(f8(x95721,x95722),x95723),f36(f916(x95721,a904),x95724)))+P105(f844(f844(f328(f916(x95721,a904)),f767(x95723,x95724,x95721,x95722)),x95724))+P105(f844(f844(f328(f916(x95721,a904)),f766(x95723,x95724,x95721,x95722)),x95724))+~P105(f844(f60(f916(x95721,a904)),x95724))
% 202.05/201.93 [9573]~P69(x95732)+E(f844(f844(f8(f916(x95731,a904),x95732),f844(f8(x95731,x95732),x95733)),x95734),f844(f844(f8(x95731,x95732),x95733),f36(f916(x95731,a904),x95734)))+P105(f844(f844(f328(f916(x95731,a904)),f767(x95733,x95734,x95731,x95732)),x95734))+P105(f844(f844(f328(f916(x95731,a904)),f765(x95733,x95734,x95731,x95732)),x95734))+~P105(f844(f60(f916(x95731,a904)),x95734))
% 202.05/201.93 [9590]~P69(x95902)+P105(f844(f844(f328(x95901),f769(x95903,x95904,x95901,x95902)),f766(x95903,x95904,x95901,x95902)))+~P105(f844(f60(x95901),f767(x95903,x95904,x95901,x95902)))+E(f844(f844(f8(f916(x95901,a904),x95902),f844(f8(x95901,x95902),x95903)),x95904),f844(f844(f8(x95901,x95902),x95903),f36(f916(x95901,a904),x95904)))+~P105(f844(f60(f916(x95901,a904)),x95904))
% 202.05/201.93 [9591]~P69(x95912)+P105(f844(f844(f328(x95911),f769(x95913,x95914,x95911,x95912)),f765(x95913,x95914,x95911,x95912)))+~P105(f844(f60(x95911),f767(x95913,x95914,x95911,x95912)))+E(f844(f844(f8(f916(x95911,a904),x95912),f844(f8(x95911,x95912),x95913)),x95914),f844(f844(f8(x95911,x95912),x95913),f36(f916(x95911,a904),x95914)))+~P105(f844(f60(f916(x95911,a904)),x95914))
% 202.05/201.93 [9604]P105(f844(x96041,x96042))+~P105(f844(f844(f328(x96043),f443(x96041,x96044,x96042,x96043)),f454(x96041,x96044,x96042,x96043)))+~P105(f844(f60(x96043),x96042))+~P105(f844(x96041,f188(f916(x96043,a904))))+~P105(f844(f844(f234(f916(x96043,a904)),x96042),x96044))
% 202.05/201.93 [9641]~P69(x96412)+P105(f844(f844(f328(x96411),f769(x96413,x96414,x96411,x96412)),f766(x96413,x96414,x96411,x96412)))+E(f844(f844(f8(f916(x96411,a904),x96412),f844(f8(x96411,x96412),x96413)),x96414),f844(f844(f8(x96411,x96412),x96413),f36(f916(x96411,a904),x96414)))+P105(f844(f844(f328(f916(x96411,a904)),f767(x96413,x96414,x96411,x96412)),x96414))+~P105(f844(f60(f916(x96411,a904)),x96414))
% 202.05/201.93 [9642]~P69(x96422)+P105(f844(f844(f328(x96421),f769(x96423,x96424,x96421,x96422)),f765(x96423,x96424,x96421,x96422)))+E(f844(f844(f8(f916(x96421,a904),x96422),f844(f8(x96421,x96422),x96423)),x96424),f844(f844(f8(x96421,x96422),x96423),f36(f916(x96421,a904),x96424)))+P105(f844(f844(f328(f916(x96421,a904)),f767(x96423,x96424,x96421,x96422)),x96424))+~P105(f844(f60(f916(x96421,a904)),x96424))
% 202.05/201.93 [9818]P105(f844(x98181,x98182))+~P105(f844(f60(x98183),x98182))+~P105(f844(x98181,f844(f844(f308(x98183),f443(x98181,x98184,x98182,x98183)),f454(x98181,x98184,x98182,x98183))))+~P105(f844(x98181,f188(f916(x98183,a904))))+~P105(f844(f844(f234(f916(x98183,a904)),x98182),x98184))
% 202.05/201.93 [7867]~P64(x78671)+P105(f844(f844(f235(x78671),x78672),f2(x78671)))+~P105(f844(f844(f234(x78671),f2(x78671)),x78674))+P105(f844(f844(f235(x78671),f2(x78671)),x78672))+P105(f844(f844(f234(x78671),f844(f844(f290(x78671),x78673),x78672)),x78674))
% 202.05/201.93 [7868]~P64(x78681)+P105(f844(f844(f235(x78681),x78682),f2(x78681)))+P105(f844(f844(f235(x78681),f2(x78681)),x78682))+~P105(f844(f844(f235(x78681),f2(x78681)),x78684))+P105(f844(f844(f235(x78681),f844(f844(f290(x78681),x78683),x78682)),x78684))
% 202.05/201.93 [8143]~P105(f844(f844(f234(a1),x81434),f2(a1)))+~E(x81432,f844(f844(f79(a1),f844(f844(f80(a1),x81431),x81433)),x81434))+P105(f844(f844(f235(a1),f2(a1)),x81431))+~P105(f844(f844(f235(a1),x81431),x81434))+P105(f844(f48(x81432,x81431),f844(f844(f251(a1,a1),x81433),x81434)))
% 202.05/201.93 [8177]~P105(f844(x81771,x81774))+P105(f844(x81771,f341(x81772,x81771,x81773)))+~P105(f844(f844(f234(a1),f2(a1)),x81772))+~P105(f844(f844(f235(a1),f2(a1)),x81773))+P105(f844(x81771,f844(f844(f3(a1),x81774),f844(f844(f80(a1),x81772),x81773))))
% 202.05/201.93 [8178]~P105(f844(x81781,x81784))+P105(f844(x81781,f347(x81782,x81781,x81783)))+~P105(f844(f844(f234(a1),f2(a1)),x81782))+~P105(f844(f844(f235(a1),f2(a1)),x81783))+P105(f844(x81781,f844(f844(f79(a1),x81784),f844(f844(f80(a1),x81782),x81783))))
% 202.05/201.93 [8179]~P64(x81791)+P105(f844(f844(f235(x81791),x81792),f2(x81791)))+P105(f844(f844(f235(x81791),f2(x81791)),x81792))+P105(f844(f844(f234(x81791),f2(x81791)),x81793))+~P105(f844(f844(f234(x81791),f844(f844(f290(x81791),x81794),x81792)),x81793))
% 202.05/201.93 [8180]~P64(x81801)+P105(f844(f844(f235(x81801),x81802),f2(x81801)))+P105(f844(f844(f235(x81801),f2(x81801)),x81802))+P105(f844(f844(f235(x81801),f2(x81801)),x81803))+~P105(f844(f844(f235(x81801),f844(f844(f290(x81801),x81804),x81802)),x81803))
% 202.05/201.93 [8232]~E(x82321,f844(f844(f79(a1),f844(f844(f80(a1),x82322),x82323)),x82324))+~P105(f844(f844(f234(a1),f2(a1)),x82324))+~P105(f844(f844(f235(a1),f2(a1)),x82322))+~P105(f844(f844(f235(a1),x82324),x82322))+P105(f844(f48(x82321,x82322),f844(f844(f251(a1,a1),x82323),x82324)))
% 202.05/201.93 [8344]~P64(x83441)+P105(f844(f844(f235(x83441),x83442),f2(x83441)))+~P105(f844(f844(f234(x83441),f2(x83441)),x83444))+~P105(f844(f844(f234(x83441),x83443),f844(f844(f80(x83441),x83444),x83442)))+P105(f844(f844(f234(x83441),f844(f844(f290(x83441),x83443),x83442)),x83444))
% 202.05/201.93 [8345]~P64(x83451)+P105(f844(f844(f235(x83451),x83452),f2(x83451)))+~P105(f844(f844(f235(x83451),f2(x83451)),x83454))+~P105(f844(f844(f235(x83451),x83453),f844(f844(f80(x83451),x83454),x83452)))+P105(f844(f844(f235(x83451),f844(f844(f290(x83451),x83453),x83452)),x83454))
% 202.05/201.93 [8429]~P64(x84291)+P105(f844(f844(f235(x84291),x84292),f2(x84291)))+~P105(f844(f844(f234(x84291),x84293),f2(x84291)))+P105(f844(f844(f234(x84291),x84293),f844(f844(f290(x84291),x84294),x84292)))+~P105(f844(f844(f234(x84291),f844(f844(f80(x84291),x84293),x84292)),x84294))
% 202.05/201.93 [8430]~P64(x84301)+P105(f844(f844(f235(x84301),x84302),f2(x84301)))+~P105(f844(f844(f235(x84301),x84303),f2(x84301)))+P105(f844(f844(f235(x84301),x84303),f844(f844(f290(x84301),x84304),x84302)))+~P105(f844(f844(f235(x84301),f844(f844(f80(x84301),x84303),x84302)),x84304))
% 202.05/201.93 [8580]~P64(x85801)+~P105(f844(f844(f235(x85801),x85802),f2(x85801)))+P105(f844(f844(f235(x85801),f2(x85801)),x85802))+~P105(f844(f844(f234(x85801),f844(f844(f290(x85801),x85804),x85802)),x85803))+P105(f844(f844(f234(x85801),f844(f844(f80(x85801),x85803),x85802)),x85804))
% 202.05/201.93 [8581]~P64(x85811)+~P105(f844(f844(f235(x85811),x85812),f2(x85811)))+P105(f844(f844(f235(x85811),f2(x85811)),x85812))+~P105(f844(f844(f234(x85811),f844(f844(f80(x85811),x85814),x85812)),x85813))+P105(f844(f844(f234(x85811),f844(f844(f290(x85811),x85813),x85812)),x85814))
% 202.05/201.93 [8582]~P64(x85821)+~P105(f844(f844(f235(x85821),x85822),f2(x85821)))+P105(f844(f844(f235(x85821),f2(x85821)),x85822))+~P105(f844(f844(f235(x85821),f844(f844(f290(x85821),x85824),x85822)),x85823))+P105(f844(f844(f235(x85821),f844(f844(f80(x85821),x85823),x85822)),x85824))
% 202.05/201.93 [8583]~P64(x85831)+~P105(f844(f844(f235(x85831),x85832),f2(x85831)))+P105(f844(f844(f235(x85831),f2(x85831)),x85832))+~P105(f844(f844(f235(x85831),f844(f844(f80(x85831),x85834),x85832)),x85833))+P105(f844(f844(f235(x85831),f844(f844(f290(x85831),x85833),x85832)),x85834))
% 202.05/201.93 [8599]~P64(x85991)+~P105(f844(f844(f234(x85991),f2(x85991)),x85994))+P105(f844(f844(f235(x85991),f2(x85991)),x85992))+~P105(f844(f844(f234(x85991),f844(f844(f80(x85991),x85994),x85992)),x85993))+P105(f844(f844(f234(x85991),f844(f844(f290(x85991),x85993),x85992)),x85994))
% 202.05/201.93 [8600]~P64(x86001)+~P105(f844(f844(f235(x86001),f2(x86001)),x86004))+P105(f844(f844(f235(x86001),f2(x86001)),x86002))+~P105(f844(f844(f235(x86001),f844(f844(f80(x86001),x86004),x86002)),x86003))+P105(f844(f844(f235(x86001),f844(f844(f290(x86001),x86003),x86002)),x86004))
% 202.05/201.93 [8675]~P64(x86751)+~P105(f844(f844(f235(x86751),x86754),f2(x86751)))+~P105(f844(f844(f234(x86751),x86753),f844(f844(f80(x86751),x86752),x86754)))+P105(f844(f844(f234(x86751),x86752),f844(f844(f290(x86751),x86753),x86754)))+~P105(f844(f844(f234(x86751),f844(f844(f80(x86751),x86752),x86754)),x86753))
% 202.05/201.93 [8676]~P64(x86761)+~P105(f844(f844(f234(x86761),x86762),f2(x86761)))+~P105(f844(f844(f234(x86761),x86763),f844(f844(f80(x86761),x86762),x86764)))+P105(f844(f844(f234(x86761),x86762),f844(f844(f290(x86761),x86763),x86764)))+~P105(f844(f844(f234(x86761),f844(f844(f80(x86761),x86762),x86764)),x86763))
% 202.05/201.93 [8677]~P64(x86771)+~P105(f844(f844(f235(x86771),x86774),f2(x86771)))+~P105(f844(f844(f235(x86771),x86773),f844(f844(f80(x86771),x86772),x86774)))+P105(f844(f844(f235(x86771),x86772),f844(f844(f290(x86771),x86773),x86774)))+~P105(f844(f844(f235(x86771),f844(f844(f80(x86771),x86772),x86774)),x86773))
% 202.05/201.93 [8678]~P64(x86781)+~P105(f844(f844(f235(x86781),x86782),f2(x86781)))+~P105(f844(f844(f235(x86781),x86783),f844(f844(f80(x86781),x86782),x86784)))+P105(f844(f844(f235(x86781),x86782),f844(f844(f290(x86781),x86783),x86784)))+~P105(f844(f844(f235(x86781),f844(f844(f80(x86781),x86782),x86784)),x86783))
% 202.05/201.93 [8800]~P64(x88001)+~P105(f844(f844(f235(x88001),x88003),f2(x88001)))+~P105(f844(f844(f234(x88001),x88002),f844(f844(f80(x88001),x88004),x88003)))+~P105(f844(f844(f234(x88001),f844(f844(f80(x88001),x88004),x88003)),x88002))+P105(f844(f844(f234(x88001),f844(f844(f290(x88001),x88002),x88003)),x88004))
% 202.05/201.93 [8801]~P64(x88011)+~P105(f844(f844(f235(x88011),x88013),f2(x88011)))+~P105(f844(f844(f235(x88011),x88012),f844(f844(f80(x88011),x88014),x88013)))+~P105(f844(f844(f235(x88011),f844(f844(f80(x88011),x88014),x88013)),x88012))+P105(f844(f844(f235(x88011),f844(f844(f290(x88011),x88012),x88013)),x88014))
% 202.05/201.93 [8818]~P64(x88181)+~P105(f844(f844(f234(x88181),f2(x88181)),x88184))+~P105(f844(f844(f234(x88181),x88182),f844(f844(f80(x88181),x88184),x88183)))+~P105(f844(f844(f234(x88181),f844(f844(f80(x88181),x88184),x88183)),x88182))+P105(f844(f844(f234(x88181),f844(f844(f290(x88181),x88182),x88183)),x88184))
% 202.05/201.93 [8819]~P64(x88191)+~P105(f844(f844(f235(x88191),f2(x88191)),x88194))+~P105(f844(f844(f235(x88191),x88192),f844(f844(f80(x88191),x88194),x88193)))+~P105(f844(f844(f235(x88191),f844(f844(f80(x88191),x88194),x88193)),x88192))+P105(f844(f844(f235(x88191),f844(f844(f290(x88191),x88192),x88193)),x88194))
% 202.05/201.93 [9002]E(f844(f844(f3(a1),f436(x90021,x90022,x90023,x90024)),f432(x90021,x90022,x90023,x90024)),x90024)+~P105(f844(f844(f235(a1),f2(a1)),x90023))+~P105(f844(f844(f328(a1),x90022),x90021))+~P105(f844(f844(f235(a1),x90024),x90022))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x90024),x90023)),x90022))
% 202.05/201.93 [9073]~P105(f844(x90731,x90732))+~P105(f844(f844(f234(a1),f2(a1)),x90733))+~P105(f844(f844(f235(a1),f2(a1)),x90734))+~P105(f844(x90731,f844(f844(f3(a1),f341(x90733,x90731,x90734)),x90734)))+P105(f844(x90731,f844(f844(f3(a1),x90732),f844(f844(f80(a1),x90733),x90734))))
% 202.05/201.93 [9074]~P105(f844(x90741,x90742))+~P105(f844(f844(f234(a1),f2(a1)),x90743))+~P105(f844(f844(f235(a1),f2(a1)),x90744))+~P105(f844(x90741,f844(f844(f79(a1),f347(x90743,x90741,x90744)),x90744)))+P105(f844(x90741,f844(f844(f79(a1),x90742),f844(f844(f80(a1),x90743),x90744))))
% 202.05/201.93 [9224]~P105(f844(f844(f235(a1),f2(a1)),x92243))+~P105(f844(f844(f328(a1),x92242),x92241))+~P105(f844(f844(f235(a1),x92244),x92242))+P105(f844(f844(f328(a1),f436(x92241,x92242,x92243,x92244)),x92241))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x92244),x92243)),x92242))
% 202.05/201.93 [9243]E(f844(f844(f3(a1),f428(x92431,x92432,x92433,x92434)),f429(x92431,x92432,x92433,x92434)),x92434)+~P105(f844(f844(f235(a1),f2(a1)),x92433))+~P105(f844(f844(f234(a1),x92434),x92432))+~P105(f844(f844(f328(a1),f844(f844(f79(a1),x92432),f77(a1))),x92431))+P105(f844(f844(f234(a1),f844(f844(f79(a1),x92434),x92433)),x92432))
% 202.05/201.93 [9271]~P105(f844(f844(f235(a1),f2(a1)),x92712))+~P105(f844(f844(f328(a1),x92713),x92714))+~P105(f844(f844(f235(a1),x92711),x92713))+P105(f844(f844(f328(a1),f432(x92714,x92713,x92712,x92711)),f302(a1,f77(a1),x92712)))+P105(f844(f844(f235(a1),f844(f844(f79(a1),x92711),x92712)),x92713))
% 202.05/201.93 [9357]~P105(f844(f844(f235(a1),f2(a1)),x93573))+~P105(f844(f844(f234(a1),x93574),x93572))+P105(f844(f844(f328(a1),f428(x93571,x93572,x93573,x93574)),x93571))+~P105(f844(f844(f328(a1),f844(f844(f79(a1),x93572),f77(a1))),x93571))+P105(f844(f844(f234(a1),f844(f844(f79(a1),x93574),x93573)),x93572))
% 202.05/201.93 [9404]~P105(f844(f844(f235(a1),f2(a1)),x94042))+~P105(f844(f844(f234(a1),x94041),x94043))+P105(f844(f844(f328(a1),f429(x94044,x94043,x94042,x94041)),f302(a1,f77(a1),x94042)))+~P105(f844(f844(f328(a1),f844(f844(f79(a1),x94043),f77(a1))),x94044))+P105(f844(f844(f234(a1),f844(f844(f79(a1),x94041),x94042)),x94043))
% 202.05/201.93 [9695]~P36(x96951,x96953)+~P26(x96951,x96954)+P36(x96951,f844(f844(f110(f916(f915(x96951,x96951),a904)),x96952),x96953))+~P105(f844(f844(f234(f916(f915(x96951,x96951),a904)),x96952),f844(f250(f916(f915(x96951,x96951),a904),f916(f915(x96951,x96951),a904)),x96954)))+~P105(f844(f844(f234(f916(f915(x96951,x96951),a904)),x96953),f844(f255(f916(f915(x96951,x96951),a904),f916(f915(x96951,x96951),a904)),x96954)))
% 202.05/201.93 [10085]~P17(x100852,x100854,x100853)+E(x100851,f188(f916(x100852,a904)))+~P105(f844(f60(x100852),x100851))+P105(f844(f844(f328(x100852),f844(x100853,x100851)),x100851))+~P105(f844(f844(f328(x100852),f844(f844(x100854,f405(x100851,x100853,x100854,x100852)),f413(x100851,x100853,x100854,x100852))),f844(f844(f308(x100852),f405(x100851,x100853,x100854,x100852)),f844(f844(f308(x100852),f413(x100851,x100853,x100854,x100852)),f188(f916(x100852,a904))))))
% 202.05/201.93 [10008]~P109(x100082)+~P61(x100081)+~P105(f844(f844(f234(f916(x100081,x100082)),x100083),x100084))+P105(f844(f844(f235(f916(x100081,x100082)),x100083),x100084))+~P105(f844(f55(x100081),f844(f844(f10(a904,a904,x100081),a321),f844(f844(f20(x100081,x100082,a904),f844(f844(f10(x100082,f916(x100082,a904),x100081),a324),x100083)),x100084))))
% 202.05/201.93 [9610]~P53(x96101,x96101,x96104)+P105(f844(f844(f328(f915(x96101,x96101)),f844(f844(f251(x96101,x96101),x96102),x96103)),f306(x96101,x96104)))+P105(f844(f844(f328(f915(x96101,x96101)),f844(f844(f251(x96101,x96101),x96103),x96102)),f306(x96101,x96104)))+~P105(f844(f844(f328(f915(x96101,x96101)),f844(f844(f251(x96101,x96101),x96105),x96102)),f306(x96101,x96104)))+~P105(f844(f844(f328(f915(x96101,x96101)),f844(f844(f251(x96101,x96101),x96105),x96103)),f306(x96101,x96104)))
% 202.05/201.93 [5752]E(x57521,f2(a908))+~E(f844(f34(x57522),x57525),x57521)+E(f844(f34(x57522),x57523),f844(a112,x57521))+~E(x57523,f844(f844(f308(x57522),x57524),x57525))+P105(f844(f844(f328(x57522),x57524),x57525))
% 202.05/201.93 [5874]~P63(x58742)+E(x58741,f2(x58742))+E(x58743,f2(x58742))+~E(f844(f844(f290(x58742),x58744),x58743),f844(f844(f290(x58742),x58745),x58741))+E(f844(f844(f80(x58742),x58744),x58741),f844(f844(f80(x58742),x58745),x58743))
% 202.05/201.93 [5875]~P63(x58752)+E(x58751,f2(x58752))+E(x58753,f2(x58752))+~E(f844(f844(f80(x58752),x58754),x58753),f844(f844(f80(x58752),x58755),x58751))+E(f844(f844(f290(x58752),x58754),x58751),f844(f844(f290(x58752),x58755),x58753))
% 202.05/201.93 [5953]~E(f844(f34(x59531),x59535),x59533)+~E(x59535,f188(f916(x59531,a904)))+E(f844(f34(x59531),x59532),f844(a112,x59533))+~E(x59532,f844(f844(f308(x59531),x59534),x59535))+P105(f844(f844(f328(x59531),x59534),x59535))
% 202.05/201.93 [6187]~P112(x61872)+~E(f844(x61873,x61875),f2(x61872))+E(f844(f844(f11(x61871,x61872),x61873),x61874),f2(x61872))+~P105(f844(f60(x61871),x61874))+~P105(f844(f844(f328(x61871),x61875),x61874))
% 202.05/201.93 [6564]~P108(x65643)+E(x65641,x65642)+~E(f844(f301(x65643,x65644),x65641),f844(f301(x65643,x65645),x65642))+~P105(f844(f844(f235(x65643),x65645),x65642))+~P105(f844(f844(f235(x65643),x65644),x65641))
% 202.05/201.93 [6565]~P108(x65653)+E(x65651,x65652)+~E(f844(f301(x65653,x65651),x65654),f844(f301(x65653,x65652),x65655))+~P105(f844(f844(f235(x65653),x65652),x65655))+~P105(f844(f844(f235(x65653),x65651),x65654))
% 202.05/201.93 [7636]~P108(x76361)+~P12(x76361,f844(f844(f134(x76361),x76364),x76365))+~P105(f844(f844(f328(x76361),x76363),f844(f172(x76361),x76365)))+~P105(f844(f844(f328(x76361),x76362),f844(f172(x76361),x76364)))+P105(f844(f844(f234(x76361),x76362),x76363))
% 202.05/201.93 [8712]~P109(x87121)+~P105(f844(f844(f235(f916(x87121,a904)),f302(x87121,x87125,x87122)),f302(x87121,x87124,x87123)))+~P105(f844(f844(f234(x87121),x87125),x87122))+P105(f844(f844(f235(x87121),x87122),x87123))+P105(f844(f844(f235(x87121),x87124),x87125))
% 202.05/201.93 [10128]~P16(x101282,x101285,x101283)+E(x101281,f188(f916(x101282,a904)))+~E(f844(f844(x101285,f844(x101284,f523(x101281,x101284,x101283,x101285,x101282))),f844(x101284,f524(x101281,x101284,x101283,x101285,x101282))),f844(x101284,f844(f844(x101285,f523(x101281,x101284,x101283,x101285,x101282)),f524(x101281,x101284,x101283,x101285,x101282))))+E(f844(x101283,f844(f309(x101282,x101282,x101284),x101281)),f844(x101284,f844(x101283,x101281)))+~P105(f844(f60(x101282),x101281))
% 202.05/201.93 [6561]~P17(x65612,x65615,x65613)+E(x65611,f188(f916(x65612,a904)))+~P105(f844(f60(x65612),x65611))+E(f844(x65613,f844(f844(f308(x65612),x65614),x65611)),f844(f844(x65615,x65614),f844(x65613,x65611)))+P105(f844(f844(f328(x65612),x65614),x65611))
% 202.05/201.93 [7395]~P16(x73952,x73953,x73954)+E(f844(f844(x73953,f844(x73954,x73951)),f844(x73954,x73955)),f844(x73954,x73955))+E(x73951,f188(f916(x73952,a904)))+~P105(f844(f60(x73952),x73955))+~P105(f844(f844(f234(f916(x73952,a904)),x73951),x73955))
% 202.05/201.93 [7768]~P17(x77684,x77685,x77681)+E(f844(x77681,x77682),x77683)+~P105(f844(f60(x77684),x77682))+~E(f844(f844(f3(f916(x77684,a904)),x77682),f844(f844(f308(x77684),x77683),f188(f916(x77684,a904)))),f188(f916(x77684,a904)))+~P105(f844(f844(f328(x77684),x77683),x77682))
% 202.05/201.93 [8682]E(x86821,x86822)+~P7(x86823,x86824,x86825)+E(f844(f844(f101(f916(x86823,a904)),x86821),x86822),f188(f916(x86823,a904)))+~P105(f844(f844(f328(f916(x86823,a904)),x86822),f844(f844(f59(x86823),x86824),x86825)))+~P105(f844(f844(f328(f916(x86823,a904)),x86821),f844(f844(f59(x86823),x86824),x86825)))
% 202.05/201.93 [9487]~P69(x94872)+~E(f844(x94873,f882(x94873,x94874,x94875,x94871,x94872)),f2(x94872))+E(f844(f844(f8(x94871,x94872),x94873),x94874),f844(f844(f8(x94871,x94872),x94873),x94875))+~P105(f844(f60(x94871),x94875))+~P105(f844(f844(f234(f916(x94871,a904)),x94874),x94875))
% 202.05/201.93 [9488]~P69(x94882)+~E(f844(x94883,f883(x94883,x94884,x94885,x94881,x94882)),f2(x94882))+E(f844(f844(f8(x94881,x94882),x94883),x94884),f844(f844(f8(x94881,x94882),x94883),x94885))+~P105(f844(f60(x94881),x94885))+~P105(f844(f844(f234(f916(x94881,a904)),x94884),x94885))
% 202.05/201.93 [9489]~P74(x94892)+~E(f844(x94893,f776(x94893,x94894,x94895,x94891,x94892)),f77(x94892))+E(f844(f844(f11(x94891,x94892),x94893),x94894),f844(f844(f11(x94891,x94892),x94893),x94895))+~P105(f844(f60(x94891),x94895))+~P105(f844(f844(f234(f916(x94891,a904)),x94894),x94895))
% 202.05/201.93 [9490]~P74(x94902)+~E(f844(x94903,f787(x94903,x94904,x94905,x94901,x94902)),f77(x94902))+E(f844(f844(f11(x94901,x94902),x94903),x94904),f844(f844(f11(x94901,x94902),x94903),x94905))+~P105(f844(f60(x94901),x94905))+~P105(f844(f844(f234(f916(x94901,a904)),x94904),x94905))
% 202.05/201.93 [9961]~P88(x99611)+~P105(f844(f60(x99612),x99615))+~P105(f844(f844(f234(x99611),f2(x99611)),f844(x99613,f872(x99613,x99614,x99615,x99612,x99611))))+P105(f844(f844(f234(x99611),f844(f844(f8(x99612,x99611),x99613),x99614)),f844(f844(f8(x99612,x99611),x99613),x99615)))+~P105(f844(f844(f234(f916(x99612,a904)),x99614),x99615))
% 202.05/201.93 [7633]E(x76331,f2(a908))+P105(f844(x76332,x76333))+~E(x76334,f844(f844(f79(a908),f844(f844(f80(a908),x76331),x76333)),x76335))+~P105(f844(f844(f235(a908),x76335),x76331))+~P105(f844(x76332,f844(f844(f35(a908),x76334),x76331)))
% 202.05/201.93 [7708]E(x77081,f2(a908))+P105(f844(x77082,x77083))+~P105(f844(x77082,f44(a908,x77084,x77081)))+~E(x77084,f844(f844(f79(a908),f844(f844(f80(a908),x77081),x77085)),x77083))+~P105(f844(f844(f235(a908),x77083),x77081))
% 202.05/201.93 [7994]~P63(x79943)+E(f844(x79941,x79942),f2(x79943))+~P105(f844(f60(x79944),x79945))+E(f844(f844(f11(x79944,x79943),x79941),f844(f844(f3(f916(x79944,a904)),x79945),f844(f844(f308(x79944),x79942),f188(f916(x79944,a904))))),f844(f844(f11(x79944,x79943),x79941),x79945))+P105(f844(f844(f328(x79944),x79942),x79945))
% 202.05/201.93 [8384]~P69(x83841)+~P105(f844(f60(x83842),x83845))+~P105(f844(f60(x83842),x83844))+~E(f844(f844(f101(f916(x83842,a904)),x83844),x83845),f188(f916(x83842,a904)))+E(f844(f844(f79(x83841),f844(f844(f8(x83842,x83841),x83843),x83844)),f844(f844(f8(x83842,x83841),x83843),x83845)),f844(f844(f8(x83842,x83841),x83843),f844(f844(f110(f916(x83842,a904)),x83844),x83845)))
% 202.05/201.93 [8386]~P74(x83861)+~P105(f844(f60(x83862),x83865))+~P105(f844(f60(x83862),x83864))+~E(f844(f844(f101(f916(x83862,a904)),x83864),x83865),f188(f916(x83862,a904)))+E(f844(f844(f80(x83861),f844(f844(f11(x83862,x83861),x83863),x83864)),f844(f844(f11(x83862,x83861),x83863),x83865)),f844(f844(f11(x83862,x83861),x83863),f844(f844(f110(f916(x83862,a904)),x83864),x83865)))
% 202.05/201.93 [8484]~P63(x84843)+E(f844(x84841,x84842),f2(x84843))+~P105(f844(f60(x84844),x84845))+E(f844(f844(f11(x84844,x84843),x84841),f844(f844(f3(f916(x84844,a904)),x84845),f844(f844(f308(x84844),x84842),f188(f916(x84844,a904))))),f844(f844(f290(x84843),f844(f844(f11(x84844,x84843),x84841),x84845)),f844(x84841,x84842)))+~P105(f844(f844(f328(x84844),x84842),x84845))
% 202.05/201.93 [9201]~P7(x92011,x92015,x92014)+~E(f844(f844(f59(x92011),f844(f844(f308(x92011),x92012),f188(f916(x92011,a904)))),x92014),f844(f844(f59(x92011),f844(f844(f308(x92011),x92013),f188(f916(x92011,a904)))),x92014))+~P105(f844(f844(f328(x92011),x92013),x92015))+~P105(f844(f844(f328(x92011),x92012),x92015))+P105(f844(f844(f328(f915(x92011,x92011)),f844(f844(f251(x92011,x92011),x92012),x92013)),x92014))
% 202.05/201.93 [9223]~P7(x92231,x92235,x92233)+E(f844(f844(f59(x92231),f844(f844(f308(x92231),x92232),f188(f916(x92231,a904)))),x92233),f844(f844(f59(x92231),f844(f844(f308(x92231),x92234),f188(f916(x92231,a904)))),x92233))+~P105(f844(f844(f328(x92231),x92234),x92235))+~P105(f844(f844(f328(x92231),x92232),x92235))+~P105(f844(f844(f328(f915(x92231,x92231)),f844(f844(f251(x92231,x92231),x92232),x92234)),x92233))
% 202.05/201.93 [9516]~P74(x95161)+~P105(f844(f60(x95162),x95165))+~P105(f844(f60(x95162),x95164))+~E(f844(f844(f101(f916(x95162,a904)),x95164),x95165),f188(f916(x95162,a904)))+E(f844(f844(f80(x95161),f844(f844(f844(f64(x95161,x95162,f80(x95161)),x95163),f77(x95161)),x95164)),f844(f844(f844(f64(x95161,x95162,f80(x95161)),x95163),f77(x95161)),x95165)),f844(f844(f844(f64(x95161,x95162,f80(x95161)),x95163),f77(x95161)),f844(f844(f110(f916(x95162,a904)),x95164),x95165)))
% 202.05/201.93 [9525]~P69(x95251)+~E(f844(x95253,f873(x95253,x95255,x95254,x95252,x95251)),f2(x95251))+~P105(f844(f60(x95252),x95254))+~P105(f844(f60(x95252),x95255))+E(f844(f844(f79(x95251),f844(f844(f8(x95252,x95251),x95253),x95254)),f844(f844(f8(x95252,x95251),x95253),x95255)),f844(f844(f8(x95252,x95251),x95253),f844(f844(f110(f916(x95252,a904)),x95254),x95255)))
% 202.05/201.93 [9526]~P69(x95261)+~E(f844(x95263,f874(x95263,x95265,x95264,x95262,x95261)),f2(x95261))+~P105(f844(f60(x95262),x95264))+~P105(f844(f60(x95262),x95265))+E(f844(f844(f79(x95261),f844(f844(f8(x95262,x95261),x95263),x95264)),f844(f844(f8(x95262,x95261),x95263),x95265)),f844(f844(f8(x95262,x95261),x95263),f844(f844(f110(f916(x95262,a904)),x95264),x95265)))
% 202.05/201.93 [9527]~P74(x95271)+~E(f844(x95273,f755(x95273,x95275,x95274,x95272,x95271)),f77(x95271))+~P105(f844(f60(x95272),x95274))+~P105(f844(f60(x95272),x95275))+E(f844(f844(f80(x95271),f844(f844(f11(x95272,x95271),x95273),x95274)),f844(f844(f11(x95272,x95271),x95273),x95275)),f844(f844(f11(x95272,x95271),x95273),f844(f844(f110(f916(x95272,a904)),x95274),x95275)))
% 202.05/201.93 [9528]~P74(x95281)+~E(f844(x95283,f768(x95283,x95285,x95284,x95282,x95281)),f77(x95281))+~P105(f844(f60(x95282),x95284))+~P105(f844(f60(x95282),x95285))+E(f844(f844(f80(x95281),f844(f844(f11(x95282,x95281),x95283),x95284)),f844(f844(f11(x95282,x95281),x95283),x95285)),f844(f844(f11(x95282,x95281),x95283),f844(f844(f110(f916(x95282,a904)),x95284),x95285)))
% 202.05/201.93 [9738]~P74(x97381)+~E(f844(x97383,f796(x97383,x97385,x97384,x97382,x97381)),f77(x97381))+~P105(f844(f60(x97382),x97384))+~P105(f844(f60(x97382),x97385))+E(f844(f844(f80(x97381),f844(f844(f844(f64(x97381,x97382,f80(x97381)),x97383),f77(x97381)),x97384)),f844(f844(f844(f64(x97381,x97382,f80(x97381)),x97383),f77(x97381)),x97385)),f844(f844(f844(f64(x97381,x97382,f80(x97381)),x97383),f77(x97381)),f844(f844(f110(f916(x97382,a904)),x97384),x97385)))
% 202.05/201.93 [9849]~P69(x98492)+E(f844(f844(f8(x98491,x98492),x98493),x98494),f844(f844(f8(x98491,x98492),x98493),x98495))+~P105(f844(f60(x98491),x98495))+~P105(f844(f844(f234(f916(x98491,a904)),x98494),x98495))+P105(f844(f844(f328(x98491),f882(x98493,x98494,x98495,x98491,x98492)),f844(f844(f3(f916(x98491,a904)),x98495),x98494)))
% 202.05/201.93 [9850]~P69(x98502)+E(f844(f844(f8(x98501,x98502),x98503),x98504),f844(f844(f8(x98501,x98502),x98503),x98505))+~P105(f844(f60(x98501),x98505))+~P105(f844(f844(f234(f916(x98501,a904)),x98504),x98505))+P105(f844(f844(f328(x98501),f883(x98503,x98504,x98505,x98501,x98502)),f844(f844(f3(f916(x98501,a904)),x98505),x98504)))
% 202.05/201.93 [9851]~P74(x98512)+E(f844(f844(f11(x98511,x98512),x98513),x98514),f844(f844(f11(x98511,x98512),x98513),x98515))+~P105(f844(f60(x98511),x98515))+~P105(f844(f844(f234(f916(x98511,a904)),x98514),x98515))+P105(f844(f844(f328(x98511),f776(x98513,x98514,x98515,x98511,x98512)),f844(f844(f3(f916(x98511,a904)),x98515),x98514)))
% 202.05/201.93 [9852]~P74(x98522)+E(f844(f844(f11(x98521,x98522),x98523),x98524),f844(f844(f11(x98521,x98522),x98523),x98525))+~P105(f844(f60(x98521),x98525))+~P105(f844(f844(f234(f916(x98521,a904)),x98524),x98525))+P105(f844(f844(f328(x98521),f787(x98523,x98524,x98525,x98521,x98522)),f844(f844(f3(f916(x98521,a904)),x98525),x98524)))
% 202.05/201.93 [9870]~P69(x98701)+~P105(f844(f60(x98702),x98704))+~P105(f844(f60(x98702),x98705))+E(f844(f844(f79(x98701),f844(f844(f8(x98702,x98701),x98703),x98704)),f844(f844(f8(x98702,x98701),x98703),x98705)),f844(f844(f8(x98702,x98701),x98703),f844(f844(f110(f916(x98702,a904)),x98704),x98705)))+P105(f844(f844(f328(x98702),f873(x98703,x98705,x98704,x98702,x98701)),f844(f844(f101(f916(x98702,a904)),x98704),x98705)))
% 202.05/201.93 [9871]~P69(x98711)+~P105(f844(f60(x98712),x98714))+~P105(f844(f60(x98712),x98715))+E(f844(f844(f79(x98711),f844(f844(f8(x98712,x98711),x98713),x98714)),f844(f844(f8(x98712,x98711),x98713),x98715)),f844(f844(f8(x98712,x98711),x98713),f844(f844(f110(f916(x98712,a904)),x98714),x98715)))+P105(f844(f844(f328(x98712),f874(x98713,x98715,x98714,x98712,x98711)),f844(f844(f101(f916(x98712,a904)),x98714),x98715)))
% 202.05/201.93 [9872]~P74(x98721)+~P105(f844(f60(x98722),x98724))+~P105(f844(f60(x98722),x98725))+E(f844(f844(f80(x98721),f844(f844(f11(x98722,x98721),x98723),x98724)),f844(f844(f11(x98722,x98721),x98723),x98725)),f844(f844(f11(x98722,x98721),x98723),f844(f844(f110(f916(x98722,a904)),x98724),x98725)))+P105(f844(f844(f328(x98722),f755(x98723,x98725,x98724,x98722,x98721)),f844(f844(f101(f916(x98722,a904)),x98724),x98725)))
% 202.05/201.93 [9873]~P74(x98731)+~P105(f844(f60(x98732),x98734))+~P105(f844(f60(x98732),x98735))+E(f844(f844(f80(x98731),f844(f844(f11(x98732,x98731),x98733),x98734)),f844(f844(f11(x98732,x98731),x98733),x98735)),f844(f844(f11(x98732,x98731),x98733),f844(f844(f110(f916(x98732,a904)),x98734),x98735)))+P105(f844(f844(f328(x98732),f768(x98733,x98735,x98734,x98732,x98731)),f844(f844(f101(f916(x98732,a904)),x98734),x98735)))
% 202.05/201.93 [9879]~P88(x98795)+~P105(f844(f60(x98791),x98794))+P105(f844(f844(f234(x98795),f844(f844(f8(x98791,x98795),x98792),x98793)),f844(f844(f8(x98791,x98795),x98792),x98794)))+~P105(f844(f844(f234(f916(x98791,a904)),x98793),x98794))+P105(f844(f844(f328(x98791),f872(x98792,x98793,x98794,x98791,x98795)),f844(f844(f3(f916(x98791,a904)),x98794),x98793)))
% 202.05/201.93 [9923]~P74(x99231)+~P105(f844(f60(x99232),x99234))+~P105(f844(f60(x99232),x99235))+E(f844(f844(f80(x99231),f844(f844(f844(f64(x99231,x99232,f80(x99231)),x99233),f77(x99231)),x99234)),f844(f844(f844(f64(x99231,x99232,f80(x99231)),x99233),f77(x99231)),x99235)),f844(f844(f844(f64(x99231,x99232,f80(x99231)),x99233),f77(x99231)),f844(f844(f110(f916(x99232,a904)),x99234),x99235)))+P105(f844(f844(f328(x99232),f796(x99233,x99235,x99234,x99232,x99231)),f844(f844(f101(f916(x99232,a904)),x99234),x99235)))
% 202.05/201.93 [8891]~P17(x88911,x88914,x88915)+~P105(f844(f60(x88911),x88912))+E(f844(f844(f3(f916(x88911,a904)),x88912),f844(f844(f308(x88911),x88913),f188(f916(x88911,a904)))),f188(f916(x88911,a904)))+~P105(f844(f844(f328(x88911),x88913),x88912))+E(f844(f844(x88914,x88913),f844(x88915,f844(f844(f3(f916(x88911,a904)),x88912),f844(f844(f308(x88911),x88913),f188(f916(x88911,a904)))))),f844(x88915,x88912))
% 202.05/201.93 [8969]~P17(x89691,x89694,x89695)+~P105(f844(f60(x89691),x89693))+~P105(f844(f60(x89691),x89692))+E(f844(f844(f101(f916(x89691,a904)),x89692),x89693),f188(f916(x89691,a904)))+E(f844(f844(x89694,f844(x89695,f844(f844(f110(f916(x89691,a904)),x89692),x89693))),f844(x89695,f844(f844(f101(f916(x89691,a904)),x89692),x89693))),f844(f844(x89694,f844(x89695,x89692)),f844(x89695,x89693)))
% 202.05/201.93 [9530]~P105(f844(f844(f234(a1),x95304),f2(a1)))+~P105(f844(f844(f235(a1),x95303),x95305))+P105(f844(f844(f234(a1),x95301),x95302))+~P105(f844(f844(f235(a1),x95303),x95304))+~P105(f844(f844(f234(a1),f844(f844(f79(a1),f844(f844(f80(a1),x95303),x95302)),x95305)),f844(f844(f79(a1),f844(f844(f80(a1),x95303),x95301)),x95304)))
% 202.05/201.93 [9532]~P105(f844(f844(f234(a1),f2(a1)),x95325))+P105(f844(f844(f234(a1),x95321),x95322))+~P105(f844(f844(f235(a1),x95323),x95324))+~P105(f844(f844(f235(a1),x95325),x95324))+~P105(f844(f844(f234(a1),f844(f844(f79(a1),f844(f844(f80(a1),x95324),x95321)),x95325)),f844(f844(f79(a1),f844(f844(f80(a1),x95324),x95322)),x95323)))
% 202.05/201.93 [9647]~P63(x96475)+E(f844(x96471,f884(x96471,x96472,x96473,x96474,x96475)),f2(x96475))+~P105(f844(f60(x96474),x96473))+~P105(f844(f60(x96474),x96472))+E(f844(f844(f290(x96475),f844(f844(f80(x96475),f844(f844(f11(x96474,x96475),x96471),x96473)),f844(f844(f11(x96474,x96475),x96471),x96472))),f844(f844(f11(x96474,x96475),x96471),f844(f844(f101(f916(x96474,a904)),x96473),x96472))),f844(f844(f11(x96474,x96475),x96471),f844(f844(f110(f916(x96474,a904)),x96473),x96472)))
% 202.05/201.93 [9915]~P63(x99151)+~P105(f844(f60(x99152),x99154))+~P105(f844(f60(x99152),x99155))+E(f844(f844(f290(x99151),f844(f844(f80(x99151),f844(f844(f11(x99152,x99151),x99153),x99154)),f844(f844(f11(x99152,x99151),x99153),x99155))),f844(f844(f11(x99152,x99151),x99153),f844(f844(f101(f916(x99152,a904)),x99154),x99155))),f844(f844(f11(x99152,x99151),x99153),f844(f844(f110(f916(x99152,a904)),x99154),x99155)))+P105(f844(f844(f328(x99152),f884(x99153,x99155,x99154,x99152,x99151)),f844(f844(f101(f916(x99152,a904)),x99154),x99155)))
% 202.05/201.93 [9242]E(f844(f844(f134(x92421),x92422),x92423),f844(f844(f134(x92421),x92424),x92425))+~E(f844(f844(f175(x92421),f844(f189(f909(x92421)),x92424)),x92422),x92424)+~E(f844(f844(f175(x92421),f844(f189(f909(x92421)),x92422)),x92424),x92422)+~E(x92425,f844(f844(f134(x92421),f844(f844(f138(x92421),f844(f189(f909(x92421)),x92424)),x92422)),x92423))+~E(f844(f844(f134(x92421),f844(f844(f138(x92421),f844(f189(f909(x92421)),x92422)),x92424)),x92425),x92423)
% 202.05/201.93 [9645]~P108(x96452)+E(f844(f844(f148(x96451,x96452,x96453),x96454),f170(x96451,x96454,x96455)),x96455)+~P12(x96452,f844(f844(f154(x96451,x96452),x96453),x96455))+~P105(f844(f844(f328(x96451),x96454),f844(f172(x96451),x96455)))+~E(f844(f141(x96451),f844(f136(x96451,f844(f844(f10(x96452,a904,x96451),f844(a324,f844(x96453,x96454))),x96453)),x96455)),x96454)
% 202.05/201.93 [9979]~P67(x99791)+~P105(f844(f65(x99791,x99791,f80(x99791),x99792,x99793),x99795))+~P105(f844(f844(f328(x99791),x99794),x99793))+P105(f844(f844(f328(x99791),x99792),x99793))+P105(f844(f65(x99791,x99791,f80(x99791),x99794,f844(f844(f308(x99791),x99792),f844(f844(f3(f916(x99791,a904)),x99793),f844(f844(f308(x99791),x99794),f188(f916(x99791,a904)))))),x99795))
% 202.05/201.93 [7403]E(x74031,x74032)+~P24(x74034,x74035,x74033,x74036)+~E(f844(x74033,x74031),f844(x74033,x74032))+~P105(f844(f844(f328(x74034),x74032),x74036))+~P105(f844(f844(f328(x74034),x74031),x74036))
% 202.05/201.93 [6654]~P137(x66544)+E(x66541,x66542)+~E(x66545,x66546)+E(x66543,f2(x66544))+~E(f844(f844(f79(x66544),x66545),f844(f844(f80(x66544),x66543),x66541)),f844(f844(f79(x66544),x66546),f844(f844(f80(x66544),x66543),x66542)))
% 202.05/201.93 [7688]~P108(x76881)+~P4(x76881)+~P105(f844(f844(f235(x76881),x76882),f844(x76885,x76886)))+~P105(f844(f844(f328(x76883),x76886),x76884))+P105(f844(f844(f235(x76881),x76882),f844(f844(f39(x76883,x76881),x76884),x76885)))
% 202.05/201.93 [9975]~P24(x99752,x99751,x99753,x99754)+~P24(x99751,x99752,x99756,x99755)+P25(x99751,x99752,f813(x99753,x99754,x99755,x99756,x99752,x99751),x99755,x99754)+~P105(f844(f844(f234(f916(x99752,a904)),f844(f309(x99751,x99752,x99756),x99755)),x99754))+~P105(f844(f844(f234(f916(x99751,a904)),f844(f309(x99752,x99751,x99753),x99754)),x99755))
% 202.05/201.93 [8355]~P108(x83551)+~P4(x83551)+~P105(f844(f844(f235(x83551),f844(x83554,x83556)),x83555))+~P105(f844(f844(f328(x83552),x83556),x83553))+P105(f844(f844(f235(x83551),f844(f844(f38(x83552,x83551),x83553),x83554)),x83555))
% 202.05/201.93 [8606]~P18(x86062,x86065,x86066,x86061)+~P105(f844(f60(x86062),x86064))+~P105(f844(f60(x86062),x86063))+~E(f844(f844(f101(f916(x86062,a904)),x86063),x86064),f188(f916(x86062,a904)))+E(f844(x86061,f844(f844(f110(f916(x86062,a904)),x86063),x86064)),f844(f72(x86065,x86065,x86065,f844(x86061,x86063)),f844(x86061,x86064)))
% 202.05/201.93 [10187]~P74(x101871)+~E(f803(x101874,x101875,x101873,x101876,x101872,x101871),f804(x101874,x101875,x101873,x101876,x101872,x101871))+~P105(f844(f60(x101872),x101876))+E(f844(f844(f844(f64(x101871,x101872,f80(x101871)),f844(f844(f10(f916(x101873,a904),x101871,x101872),f844(f844(f64(x101871,x101873,f80(x101871)),x101874),f77(x101871))),x101875)),f77(x101871)),x101876),f844(f844(f844(f64(x101871,x101873,f80(x101871)),x101874),f77(x101871)),f844(f844(f39(x101872,f916(x101873,a904)),x101876),x101875)))+P105(f844(f844(f328(x101872),f802(x101874,x101875,x101873,x101876,x101872,x101871)),x101876))
% 202.05/201.93 [10217]~P74(x102171)+~E(f803(x102174,x102175,x102173,x102176,x102172,x102171),f804(x102174,x102175,x102173,x102176,x102172,x102171))+~P105(f844(f60(x102172),x102176))+E(f844(f844(f844(f64(x102171,x102172,f80(x102171)),f844(f844(f10(f916(x102173,a904),x102171,x102172),f844(f844(f64(x102171,x102173,f80(x102171)),x102174),f77(x102171))),x102175)),f77(x102171)),x102176),f844(f844(f844(f64(x102171,x102173,f80(x102171)),x102174),f77(x102171)),f844(f844(f39(x102172,f916(x102173,a904)),x102176),x102175)))+~P105(f844(f60(x102173),f844(x102175,f802(x102174,x102175,x102173,x102176,x102172,x102171))))
% 202.05/201.93 [10220]~P74(x102201)+~P105(f844(f60(x102202),x102206))+E(f844(f844(f844(f64(x102201,x102202,f80(x102201)),f844(f844(f10(f916(x102203,a904),x102201,x102202),f844(f844(f64(x102201,x102203,f80(x102201)),x102204),f77(x102201))),x102205)),f77(x102201)),x102206),f844(f844(f844(f64(x102201,x102203,f80(x102201)),x102204),f77(x102201)),f844(f844(f39(x102202,f916(x102203,a904)),x102206),x102205)))+P105(f844(f844(f328(x102202),f802(x102204,x102205,x102203,x102206,x102202,x102201)),x102206))+P105(f844(f844(f328(x102202),f804(x102204,x102205,x102203,x102206,x102202,x102201)),x102206))
% 202.05/201.93 [10221]~P74(x102211)+~P105(f844(f60(x102212),x102216))+E(f844(f844(f844(f64(x102211,x102212,f80(x102211)),f844(f844(f10(f916(x102213,a904),x102211,x102212),f844(f844(f64(x102211,x102213,f80(x102211)),x102214),f77(x102211))),x102215)),f77(x102211)),x102216),f844(f844(f844(f64(x102211,x102213,f80(x102211)),x102214),f77(x102211)),f844(f844(f39(x102212,f916(x102213,a904)),x102216),x102215)))+P105(f844(f844(f328(x102212),f802(x102214,x102215,x102213,x102216,x102212,x102211)),x102216))+P105(f844(f844(f328(x102212),f803(x102214,x102215,x102213,x102216,x102212,x102211)),x102216))
% 202.05/201.93 [10238]~P74(x102381)+~P105(f844(f60(x102382),x102386))+E(f844(f844(f844(f64(x102381,x102382,f80(x102381)),f844(f844(f10(f916(x102383,a904),x102381,x102382),f844(f844(f64(x102381,x102383,f80(x102381)),x102384),f77(x102381))),x102385)),f77(x102381)),x102386),f844(f844(f844(f64(x102381,x102383,f80(x102381)),x102384),f77(x102381)),f844(f844(f39(x102382,f916(x102383,a904)),x102386),x102385)))+P105(f844(f844(f328(x102382),f804(x102384,x102385,x102383,x102386,x102382,x102381)),x102386))+~P105(f844(f60(x102383),f844(x102385,f802(x102384,x102385,x102383,x102386,x102382,x102381))))
% 202.05/201.93 [10239]~P74(x102391)+~P105(f844(f60(x102392),x102396))+E(f844(f844(f844(f64(x102391,x102392,f80(x102391)),f844(f844(f10(f916(x102393,a904),x102391,x102392),f844(f844(f64(x102391,x102393,f80(x102391)),x102394),f77(x102391))),x102395)),f77(x102391)),x102396),f844(f844(f844(f64(x102391,x102393,f80(x102391)),x102394),f77(x102391)),f844(f844(f39(x102392,f916(x102393,a904)),x102396),x102395)))+P105(f844(f844(f328(x102392),f803(x102394,x102395,x102393,x102396,x102392,x102391)),x102396))+~P105(f844(f60(x102393),f844(x102395,f802(x102394,x102395,x102393,x102396,x102392,x102391))))
% 202.05/201.93 [10250]~P74(x102501)+~E(f844(f844(f101(f916(x102503,a904)),f844(x102505,f804(x102504,x102505,x102503,x102506,x102502,x102501))),f844(x102505,f803(x102504,x102505,x102503,x102506,x102502,x102501))),f188(f916(x102503,a904)))+~P105(f844(f60(x102502),x102506))+E(f844(f844(f844(f64(x102501,x102502,f80(x102501)),f844(f844(f10(f916(x102503,a904),x102501,x102502),f844(f844(f64(x102501,x102503,f80(x102501)),x102504),f77(x102501))),x102505)),f77(x102501)),x102506),f844(f844(f844(f64(x102501,x102503,f80(x102501)),x102504),f77(x102501)),f844(f844(f39(x102502,f916(x102503,a904)),x102506),x102505)))+P105(f844(f844(f328(x102502),f802(x102504,x102505,x102503,x102506,x102502,x102501)),x102506))
% 202.05/201.93 [10261]~P74(x102611)+~E(f844(f844(f101(f916(x102613,a904)),f844(x102615,f804(x102614,x102615,x102613,x102616,x102612,x102611))),f844(x102615,f803(x102614,x102615,x102613,x102616,x102612,x102611))),f188(f916(x102613,a904)))+~P105(f844(f60(x102612),x102616))+E(f844(f844(f844(f64(x102611,x102612,f80(x102611)),f844(f844(f10(f916(x102613,a904),x102611,x102612),f844(f844(f64(x102611,x102613,f80(x102611)),x102614),f77(x102611))),x102615)),f77(x102611)),x102616),f844(f844(f844(f64(x102611,x102613,f80(x102611)),x102614),f77(x102611)),f844(f844(f39(x102612,f916(x102613,a904)),x102616),x102615)))+~P105(f844(f60(x102613),f844(x102615,f802(x102614,x102615,x102613,x102616,x102612,x102611))))
% 202.05/201.93 [8939]E(x89391,x89392)+~P55(x89394,x89395,x89396,x89393,x89397)+~E(f844(x89393,x89391),f844(x89393,x89392))+~P105(f844(f844(f328(x89395),x89392),x89397))+~P105(f844(f844(f328(x89395),x89391),x89397))
% 202.05/201.93 [10228]~P105(f844(x102282,x102284))+~E(x102285,f844(f136(x102281,x102282),x102287))+E(f844(f136(x102281,x102282),x102283),f844(f844(f151(x102281),x102284),x102285))+~E(x102283,f844(f844(f134(x102281),x102286),f844(f844(f151(x102281),x102284),x102287)))+P105(f844(x102282,f737(x102285,x102284,x102283,x102282,x102281,x102286,x102287)))
% 202.05/201.94 [10229]~P105(f844(x102294,x102292))+~E(x102293,f844(f136(x102291,x102294),x102297))+E(f844(f844(f151(x102291),x102292),x102293),f844(f136(x102291,x102294),x102295))+~E(x102295,f844(f844(f134(x102291),x102296),f844(f844(f151(x102291),x102292),x102297)))+P105(f844(x102294,f736(x102295,x102294,x102293,x102292,x102291,x102296,x102297)))
% 202.05/201.94 [10273]~P105(f844(x102732,x102734))+~E(x102735,f844(f136(x102731,x102732),x102737))+E(f844(f136(x102731,x102732),x102733),f844(f844(f151(x102731),x102734),x102735))+~E(x102733,f844(f844(f134(x102731),x102736),f844(f844(f151(x102731),x102734),x102737)))+P105(f844(f844(f328(x102731),f737(x102735,x102734,x102733,x102732,x102731,x102736,x102737)),f844(f172(x102731),x102736)))
% 202.05/201.94 [10274]~P105(f844(x102744,x102742))+~E(x102743,f844(f136(x102741,x102744),x102747))+E(f844(f844(f151(x102741),x102742),x102743),f844(f136(x102741,x102744),x102745))+~E(x102745,f844(f844(f134(x102741),x102746),f844(f844(f151(x102741),x102742),x102747)))+P105(f844(f844(f328(x102741),f736(x102745,x102744,x102743,x102742,x102741,x102746,x102747)),f844(f172(x102741),x102746)))
% 202.05/201.94 [10278]~P7(x102781,x102787,x102786)+~P10(x102781,f916(x102785,a904),x102786,x102784)+P105(f844(f844(f328(x102781),f505(x102782,x102783,x102784,x102785,x102786,x102787,x102781)),x102787))+~P105(f844(f844(f328(f916(x102781,a904)),x102783),f844(f844(f59(x102781),x102787),x102786)))+P105(f844(f844(f328(f916(x102785,a904)),f844(f844(f39(x102781,f916(x102785,a904)),x102783),x102784)),x102782))
% 202.05/201.94 [10333]~P7(x103332,x103336,x103337)+~P10(x103332,f916(x103331,a904),x103337,x103334)+~P105(f844(f844(f328(f916(x103332,a904)),x103333),f844(f844(f59(x103332),x103336),x103337)))+~P105(f844(f844(f328(f916(x103331,a904)),f844(x103334,f505(x103335,x103333,x103334,x103331,x103337,x103336,x103332))),x103335))+P105(f844(f844(f328(f916(x103331,a904)),f844(f844(f39(x103332,f916(x103331,a904)),x103333),x103334)),x103335))
% 202.05/201.94 [8526]~P74(x85262)+~P24(x85261,x85265,x85268,x85264)+~E(x85263,f844(f72(x85265,x85262,x85261,x85266),x85268))+~E(x85267,f844(f309(x85261,x85265,x85268),x85264))+E(f844(f844(f11(x85261,x85262),x85263),x85264),f844(f844(f11(x85265,x85262),x85266),x85267))
% 202.05/201.94 [10337]~P74(x103372)+~P24(x103375,x103371,x103378,x103377)+~E(f844(x103376,f583(x103373,x103376,x103374,x103377,x103378,x103371,x103375,x103372)),f844(f844(f72(x103371,x103372,x103375,x103373),x103378),f583(x103373,x103376,x103374,x103377,x103378,x103371,x103375,x103372)))+~E(x103374,f844(f309(x103375,x103371,x103378),x103377))+E(f844(f844(f11(x103371,x103372),x103373),x103374),f844(f844(f11(x103375,x103372),x103376),x103377))
% 202.05/201.94 [10340]~P69(x103402)+~P24(x103401,x103405,x103408,x103404)+~E(x103407,f844(f309(x103401,x103405,x103408),x103404))+E(f844(f844(f8(x103401,x103402),x103403),x103404),f844(f844(f8(x103405,x103402),x103406),x103407))+P105(f844(f844(f328(x103401),f596(x103406,x103403,x103407,x103404,x103408,x103405,x103401,x103402)),x103404))
% 202.05/201.94 [10341]~P74(x103412)+~P24(x103411,x103415,x103418,x103414)+~E(x103417,f844(f309(x103411,x103415,x103418),x103414))+E(f844(f844(f11(x103411,x103412),x103413),x103414),f844(f844(f11(x103415,x103412),x103416),x103417))+P105(f844(f844(f328(x103411),f583(x103416,x103413,x103417,x103414,x103418,x103415,x103411,x103412)),x103414))
% 202.05/201.94 [10346]~P69(x103462)+~P24(x103465,x103461,x103468,x103467)+~E(x103464,f844(f309(x103465,x103461,x103468),x103467))+~E(f844(x103466,f596(x103463,x103466,x103464,x103467,x103468,x103461,x103465,x103462)),f844(x103463,f844(x103468,f596(x103463,x103466,x103464,x103467,x103468,x103461,x103465,x103462))))+E(f844(f844(f8(x103461,x103462),x103463),x103464),f844(f844(f8(x103465,x103462),x103466),x103467))
% 202.05/201.94 [9812]~P22(x98126,x98122,x98125,x98127,x98128,x98121)+~P105(f844(f60(x98122),x98124))+~P105(f844(f60(x98122),x98123))+~E(f844(f844(f101(f916(x98122,a904)),x98123),x98124),f188(f916(x98122,a904)))+E(f844(x98121,f844(f844(f110(f916(x98122,a904)),x98123),x98124)),f844(f844(x98125,f844(x98121,x98123)),f844(x98121,x98124)))
% 202.05/201.94 [10214]~P22(x102148,x102142,x102145,x102147,x102146,x102141)+~E(f844(x102146,f608(x102144,x102143,x102141,x102146,x102147,x102145,x102142)),x102147)+~P105(f844(f60(x102142),x102143))+~P105(f844(f60(x102142),x102144))+E(f844(x102141,f844(f844(f110(f916(x102142,a904)),x102143),x102144)),f844(f844(x102145,f844(x102141,x102143)),f844(x102141,x102144)))
% 202.05/201.94 [10285]~P22(x102858,x102852,x102855,x102857,x102856,x102851)+~P105(f844(f60(x102852),x102853))+~P105(f844(f60(x102852),x102854))+E(f844(x102851,f844(f844(f110(f916(x102852,a904)),x102853),x102854)),f844(f844(x102855,f844(x102851,x102853)),f844(x102851,x102854)))+P105(f844(f844(f328(x102852),f608(x102854,x102853,x102851,x102856,x102857,x102855,x102852)),f844(f844(f101(f916(x102852,a904)),x102853),x102854)))
% 202.05/201.94 [9966]~P7(x99664,x99668,x99665)+~P7(x99661,x99669,x99663)+~P11(x99661,x99664,f916(x99662,a904),x99663,x99665,x99667)+P10(x99661,f916(x99662,a904),x99663,f844(f844(f10(f916(x99664,f916(x99662,a904)),f916(x99662,a904),x99661),f844(f39(x99664,f916(x99662,a904)),f844(f284(x99664,x99664,x99665),f844(f844(f308(x99664),x99666),f188(f916(x99664,a904)))))),x99667))+~P105(f844(f844(f328(x99664),x99666),x99668))
% 202.05/201.94 [5549]~P108(x55493)+~P12(x55493,x55491)+E(x55491,f714(x55492,x55493))+~E(f844(f172(x55493),x55491),x55492)+~P105(f844(f60(x55493),x55492))+~P105(f844(f137(x55493),x55491))
% 202.05/201.94 [7394]P14(x73941,x73942)+~E(f844(x73942,f794(x73942)),f844(x73942,f795(x73942)))+~P105(f844(f844(x73942,f794(x73942)),f794(x73942)))+~P105(f844(f844(x73942,f794(x73942)),f795(x73942)))+~P105(f844(f844(x73942,f795(x73942)),f795(x73942)))+~P105(f844(f844(x73942,x73943),x73943))
% 202.05/201.94 [5171]~P130(x51712)+~P132(x51712)+~P142(x51712)+~P115(x51712)+E(x51711,f2(x51712))+~E(f844(f844(f243(x51712),x51711),x51713),f2(x51712))
% 202.05/201.94 [5172]~P130(x51722)+~P132(x51722)+~P142(x51722)+~P115(x51722)+~E(x51721,f2(a908))+~E(f844(f844(f243(x51722),x51723),x51721),f2(x51722))
% 202.05/201.94 [6636]~P88(x66361)+~E(x66363,f2(x66361))+~E(x66362,f2(x66361))+E(f844(f844(f79(x66361),x66362),x66363),f2(x66361))+~P105(f844(f844(f234(x66361),f2(x66361)),x66363))+~P105(f844(f844(f234(x66361),f2(x66361)),x66362))
% 202.05/201.94 [9007]~E(f844(f250(a908,a908),x90073),f2(a908))+~E(x90071,f844(f844(f79(a908),f844(f844(f80(a908),f844(f250(a908,a908),x90073)),x90072)),f844(f255(a908,a908),x90073)))+P105(f844(f47(x90071,x90072),x90073))+~P105(f844(f844(f234(a908),f844(f255(a908,a908),x90073)),f2(a908)))+P105(f844(f844(f235(a908),f2(a908)),x90072))+~P105(f844(f844(f235(a908),x90072),f844(f255(a908,a908),x90073)))
% 202.05/201.94 [9015]E(x90151,f2(a908))+~E(x90152,f844(f844(f79(a908),f844(f844(f80(a908),f844(f250(a908,a908),x90153)),x90151)),f844(f255(a908,a908),x90153)))+P105(f844(f47(x90152,x90151),x90153))+~P105(f844(f844(f235(a908),f2(a908)),x90151))+~P105(f844(f844(f234(a908),f2(a908)),f844(f255(a908,a908),x90153)))+~P105(f844(f844(f235(a908),f844(f255(a908,a908),x90153)),x90151))
% 202.05/201.94 [9033]~E(f844(f250(a908,a908),x90333),f2(a908))+~E(x90331,f844(f844(f79(a908),f844(f844(f80(a908),f844(f250(a908,a908),x90333)),x90332)),f844(f255(a908,a908),x90333)))+P105(f844(f47(x90331,x90332),x90333))+~P105(f844(f844(f235(a908),f2(a908)),x90332))+~P105(f844(f844(f234(a908),f2(a908)),f844(f255(a908,a908),x90333)))+~P105(f844(f844(f235(a908),f844(f255(a908,a908),x90333)),x90332))
% 202.05/201.94 [7022]~P77(x70222)+E(x70221,f188(f916(x70222,a904)))+E(x70223,f188(f916(x70222,a904)))+~P105(f844(f60(x70222),x70221))+~P105(f844(f60(x70222),x70223))+E(f12(x70222,f844(f844(f110(f916(x70222,a904)),x70223),x70221)),f844(f844(f110(x70222),f12(x70222,x70223)),f12(x70222,x70221)))
% 202.05/201.94 [7023]~P77(x70232)+E(x70231,f188(f916(x70232,a904)))+E(x70233,f188(f916(x70232,a904)))+~P105(f844(f60(x70232),x70231))+~P105(f844(f60(x70232),x70233))+E(f13(x70232,f844(f844(f110(f916(x70232,a904)),x70233),x70231)),f844(f844(f101(x70232),f13(x70232,x70233)),f13(x70232,x70231)))
% 202.05/201.94 [7024]~P108(x70242)+E(x70241,f188(f916(x70242,a904)))+E(x70243,f188(f916(x70242,a904)))+~P105(f844(f60(x70242),x70241))+~P105(f844(f60(x70242),x70243))+E(f16(x70242,f844(f844(f110(f916(x70242,a904)),x70243),x70241)),f844(f844(f232(x70242),f16(x70242,x70243)),f16(x70242,x70241)))
% 202.05/201.94 [7025]~P108(x70252)+E(x70251,f188(f916(x70252,a904)))+E(x70253,f188(f916(x70252,a904)))+~P105(f844(f60(x70252),x70251))+~P105(f844(f60(x70252),x70253))+E(f17(x70252,f844(f844(f110(f916(x70252,a904)),x70253),x70251)),f844(f844(f233(x70252),f17(x70252,x70253)),f17(x70252,x70251)))
% 202.05/201.94 [7664]~P96(x76642)+E(x76641,f188(f916(x76642,a904)))+E(x76643,f188(f916(x76642,a904)))+~P105(f844(f60(x76642),x76641))+~P105(f844(f60(x76642),x76643))+E(f844(f844(f80(x76642),f844(f62(x76642,f80(x76642)),x76643)),f844(f62(x76642,f80(x76642)),x76641)),f844(f62(x76642,f80(x76642)),f844(f844(f110(f916(x76642,a904)),x76643),x76641)))
% 202.05/201.94 [7821]~P108(x78212)+E(x78211,f188(f916(x78212,a904)))+E(x78213,f188(f916(x78212,a904)))+~P105(f844(f60(x78212),x78211))+~P105(f844(f60(x78212),x78213))+E(f844(f844(f232(x78212),f14(x78212,f232(x78212),x78213)),f14(x78212,f232(x78212),x78211)),f14(x78212,f232(x78212),f844(f844(f110(f916(x78212,a904)),x78213),x78211)))
% 202.05/201.94 [7822]~P108(x78222)+E(x78221,f188(f916(x78222,a904)))+E(x78223,f188(f916(x78222,a904)))+~P105(f844(f60(x78222),x78221))+~P105(f844(f60(x78222),x78223))+E(f844(f844(f233(x78222),f15(x78222,f233(x78222),x78223)),f15(x78222,f233(x78222),x78221)),f15(x78222,f233(x78222),f844(f844(f110(f916(x78222,a904)),x78223),x78221)))
% 202.05/201.94 [8840]~P105(f844(x88401,x88403))+P105(f844(x88401,f448(x88401,x88402)))+P105(f844(x88401,f433(x88401,x88402)))+~P105(f844(f844(f235(a1),f2(a1)),x88402))+~P105(f844(f844(f328(a1),x88403),f302(a1,f77(a1),x88402)))+P105(f844(x88401,f844(f844(f3(a1),f433(x88401,x88402)),f844(f844(f80(a1),f447(x88401,x88402)),x88402))))
% 202.05/201.94 [9141]~P105(f844(x91411,x91413))+~P105(f844(x91411,f433(x91411,x91412)))+P105(f844(x91411,f448(x91411,x91412)))+~P105(f844(f844(f235(a1),f2(a1)),x91412))+~P105(f844(f844(f328(a1),x91413),f302(a1,f77(a1),x91412)))+~P105(f844(x91411,f844(f844(f3(a1),f433(x91411,x91412)),f844(f844(f80(a1),f447(x91411,x91412)),x91412))))
% 202.05/201.94 [10373]~P98(x103732)+E(x103731,f188(f916(x103732,a904)))+E(x103733,f188(f916(x103732,a904)))+~P105(f844(f60(x103732),x103731))+~P105(f844(f60(x103732),x103733))+E(f13(x103732,f844(f261(x103732),f844(f844(f10(f916(x103732,a904),a904,x103732),f86(x103732)),f844(f844(f10(f916(x103732,f916(x103732,a904)),f916(x103732,a904),x103732),f844(f10(f916(x103732,a904),a904,x103732),f86(x103732))),f844(f844(f9(x103732,f916(x103732,f916(x103732,a904)),f916(x103732,f916(x103732,a904))),f844(f844(f10(f916(x103732,f916(f916(x103732,a904),f916(x103732,a904))),f916(f916(x103732,f916(x103732,a904)),f916(x103732,f916(x103732,a904))),x103732),f20(x103732,f916(x103732,a904),f916(x103732,a904))),f844(f844(f10(f916(x103732,f916(x103732,f916(a904,a904))),f916(x103732,f916(f916(x103732,a904),f916(x103732,a904))),x103732),f844(f10(f916(x103732,f916(a904,a904)),f916(f916(x103732,a904),f916(x103732,a904)),x103732),f20(x103732,a904,a904))),f844(f844(f10(f916(x103732,f916(x103732,a904)),f916(x103732,f916(x103732,f916(a904,a904))),x103732),f844(f10(f916(x103732,a904),f916(x103732,f916(a904,a904)),x103732),f844(f10(a904,f916(a904,a904),x103732),a325))),f844(f844(f9(x103732,f916(x103732,f916(x103732,x103732)),f916(x103732,f916(x103732,a904))),f844(f844(f10(f916(f916(x103732,x103732),f916(x103732,a904)),f916(f916(x103732,f916(x103732,x103732)),f916(x103732,f916(x103732,a904))),x103732),f10(f916(x103732,x103732),f916(x103732,a904),x103732)),f844(f844(f10(f916(x103732,a904),f916(f916(x103732,x103732),f916(x103732,a904)),x103732),f10(x103732,a904,x103732)),a324))),f110(x103732)))))),f844(f844(f9(x103732,f916(x103732,a904),f916(x103732,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x103732,a904),f916(x103732,a904)),x103732),f10(a904,a904,x103732)),f844(f844(f10(a904,f916(a904,a904),x103732),a325),f844(f844(f9(x103732,f916(x103732,a904),a904),f328(x103732)),x103733)))),f844(f844(f9(x103732,f916(x103732,a904),a904),f328(x103732)),x103731))))))),f844(f844(f110(x103732),f13(x103732,x103733)),f13(x103732,x103731)))
% 202.05/201.94 [10374]~P98(x103742)+E(x103741,f188(f916(x103742,a904)))+E(x103743,f188(f916(x103742,a904)))+~P105(f844(f60(x103742),x103741))+~P105(f844(f60(x103742),x103743))+E(f12(x103742,f844(f261(x103742),f844(f844(f10(f916(x103742,a904),a904,x103742),f86(x103742)),f844(f844(f10(f916(x103742,f916(x103742,a904)),f916(x103742,a904),x103742),f844(f10(f916(x103742,a904),a904,x103742),f86(x103742))),f844(f844(f9(x103742,f916(x103742,f916(x103742,a904)),f916(x103742,f916(x103742,a904))),f844(f844(f10(f916(x103742,f916(f916(x103742,a904),f916(x103742,a904))),f916(f916(x103742,f916(x103742,a904)),f916(x103742,f916(x103742,a904))),x103742),f20(x103742,f916(x103742,a904),f916(x103742,a904))),f844(f844(f10(f916(x103742,f916(x103742,f916(a904,a904))),f916(x103742,f916(f916(x103742,a904),f916(x103742,a904))),x103742),f844(f10(f916(x103742,f916(a904,a904)),f916(f916(x103742,a904),f916(x103742,a904)),x103742),f20(x103742,a904,a904))),f844(f844(f10(f916(x103742,f916(x103742,a904)),f916(x103742,f916(x103742,f916(a904,a904))),x103742),f844(f10(f916(x103742,a904),f916(x103742,f916(a904,a904)),x103742),f844(f10(a904,f916(a904,a904),x103742),a325))),f844(f844(f9(x103742,f916(x103742,f916(x103742,x103742)),f916(x103742,f916(x103742,a904))),f844(f844(f10(f916(f916(x103742,x103742),f916(x103742,a904)),f916(f916(x103742,f916(x103742,x103742)),f916(x103742,f916(x103742,a904))),x103742),f10(f916(x103742,x103742),f916(x103742,a904),x103742)),f844(f844(f10(f916(x103742,a904),f916(f916(x103742,x103742),f916(x103742,a904)),x103742),f10(x103742,a904,x103742)),a324))),f101(x103742)))))),f844(f844(f9(x103742,f916(x103742,a904),f916(x103742,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x103742,a904),f916(x103742,a904)),x103742),f10(a904,a904,x103742)),f844(f844(f10(a904,f916(a904,a904),x103742),a325),f844(f844(f9(x103742,f916(x103742,a904),a904),f328(x103742)),x103743)))),f844(f844(f9(x103742,f916(x103742,a904),a904),f328(x103742)),x103741))))))),f844(f844(f101(x103742),f12(x103742,x103743)),f12(x103742,x103741)))
% 202.05/201.94 [10375]~P108(x103752)+E(x103751,f188(f916(x103752,a904)))+E(x103753,f188(f916(x103752,a904)))+~P105(f844(f60(x103752),x103751))+~P105(f844(f60(x103752),x103753))+E(f15(x103752,f233(x103752),f844(f261(x103752),f844(f844(f10(f916(x103752,a904),a904,x103752),f86(x103752)),f844(f844(f10(f916(x103752,f916(x103752,a904)),f916(x103752,a904),x103752),f844(f10(f916(x103752,a904),a904,x103752),f86(x103752))),f844(f844(f9(x103752,f916(x103752,f916(x103752,a904)),f916(x103752,f916(x103752,a904))),f844(f844(f10(f916(x103752,f916(f916(x103752,a904),f916(x103752,a904))),f916(f916(x103752,f916(x103752,a904)),f916(x103752,f916(x103752,a904))),x103752),f20(x103752,f916(x103752,a904),f916(x103752,a904))),f844(f844(f10(f916(x103752,f916(x103752,f916(a904,a904))),f916(x103752,f916(f916(x103752,a904),f916(x103752,a904))),x103752),f844(f10(f916(x103752,f916(a904,a904)),f916(f916(x103752,a904),f916(x103752,a904)),x103752),f20(x103752,a904,a904))),f844(f844(f10(f916(x103752,f916(x103752,a904)),f916(x103752,f916(x103752,f916(a904,a904))),x103752),f844(f10(f916(x103752,a904),f916(x103752,f916(a904,a904)),x103752),f844(f10(a904,f916(a904,a904),x103752),a325))),f844(f844(f9(x103752,f916(x103752,f916(x103752,x103752)),f916(x103752,f916(x103752,a904))),f844(f844(f10(f916(f916(x103752,x103752),f916(x103752,a904)),f916(f916(x103752,f916(x103752,x103752)),f916(x103752,f916(x103752,a904))),x103752),f10(f916(x103752,x103752),f916(x103752,a904),x103752)),f844(f844(f10(f916(x103752,a904),f916(f916(x103752,x103752),f916(x103752,a904)),x103752),f10(x103752,a904,x103752)),a324))),f232(x103752)))))),f844(f844(f9(x103752,f916(x103752,a904),f916(x103752,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x103752,a904),f916(x103752,a904)),x103752),f10(a904,a904,x103752)),f844(f844(f10(a904,f916(a904,a904),x103752),a325),f844(f844(f9(x103752,f916(x103752,a904),a904),f328(x103752)),x103753)))),f844(f844(f9(x103752,f916(x103752,a904),a904),f328(x103752)),x103751))))))),f844(f844(f232(x103752),f15(x103752,f233(x103752),x103753)),f15(x103752,f233(x103752),x103751)))
% 202.05/201.94 [10376]~P108(x103762)+E(x103761,f188(f916(x103762,a904)))+E(x103763,f188(f916(x103762,a904)))+~P105(f844(f60(x103762),x103761))+~P105(f844(f60(x103762),x103763))+E(f14(x103762,f232(x103762),f844(f261(x103762),f844(f844(f10(f916(x103762,a904),a904,x103762),f86(x103762)),f844(f844(f10(f916(x103762,f916(x103762,a904)),f916(x103762,a904),x103762),f844(f10(f916(x103762,a904),a904,x103762),f86(x103762))),f844(f844(f9(x103762,f916(x103762,f916(x103762,a904)),f916(x103762,f916(x103762,a904))),f844(f844(f10(f916(x103762,f916(f916(x103762,a904),f916(x103762,a904))),f916(f916(x103762,f916(x103762,a904)),f916(x103762,f916(x103762,a904))),x103762),f20(x103762,f916(x103762,a904),f916(x103762,a904))),f844(f844(f10(f916(x103762,f916(x103762,f916(a904,a904))),f916(x103762,f916(f916(x103762,a904),f916(x103762,a904))),x103762),f844(f10(f916(x103762,f916(a904,a904)),f916(f916(x103762,a904),f916(x103762,a904)),x103762),f20(x103762,a904,a904))),f844(f844(f10(f916(x103762,f916(x103762,a904)),f916(x103762,f916(x103762,f916(a904,a904))),x103762),f844(f10(f916(x103762,a904),f916(x103762,f916(a904,a904)),x103762),f844(f10(a904,f916(a904,a904),x103762),a325))),f844(f844(f9(x103762,f916(x103762,f916(x103762,x103762)),f916(x103762,f916(x103762,a904))),f844(f844(f10(f916(f916(x103762,x103762),f916(x103762,a904)),f916(f916(x103762,f916(x103762,x103762)),f916(x103762,f916(x103762,a904))),x103762),f10(f916(x103762,x103762),f916(x103762,a904),x103762)),f844(f844(f10(f916(x103762,a904),f916(f916(x103762,x103762),f916(x103762,a904)),x103762),f10(x103762,a904,x103762)),a324))),f233(x103762)))))),f844(f844(f9(x103762,f916(x103762,a904),f916(x103762,a904)),f844(f844(f10(f916(a904,a904),f916(f916(x103762,a904),f916(x103762,a904)),x103762),f10(a904,a904,x103762)),f844(f844(f10(a904,f916(a904,a904),x103762),a325),f844(f844(f9(x103762,f916(x103762,a904),a904),f328(x103762)),x103763)))),f844(f844(f9(x103762,f916(x103762,a904),a904),f328(x103762)),x103761))))))),f844(f844(f233(x103762),f14(x103762,f232(x103762),x103763)),f14(x103762,f232(x103762),x103761)))
% 202.05/201.94 [7350]~P124(x73503)+E(x73501,x73502)+~E(f844(f844(f243(x73503),x73501),x73504),f844(f844(f243(x73503),x73502),x73504))+~P105(f844(f844(f234(x73503),f2(x73503)),x73502))+~P105(f844(f844(f234(x73503),f2(x73503)),x73501))+~P105(f844(f844(f235(a908),f2(a908)),x73504))
% 202.05/201.94 [7625]~P108(x76252)+E(x76251,f188(f916(x76252,a904)))+~P105(f844(f60(x76252),x76251))+~P105(f844(f844(f328(x76252),x76254),x76251))+P105(f844(f844(f234(x76252),x76253),x76254))+~P105(f844(f844(f234(x76252),x76253),f844(f62(x76252,f232(x76252)),x76251)))
% 202.05/201.94 [7626]~P101(x76262)+E(x76261,f188(f916(x76262,a904)))+~P105(f844(f60(x76262),x76261))+~P105(f844(f844(f328(x76262),x76264),x76261))+P105(f844(f844(f234(x76262),x76263),x76264))+~P105(f844(f844(f234(x76262),x76263),f844(f62(x76262,f101(x76262)),x76261)))
% 202.05/201.94 [7627]~P108(x76272)+E(x76271,f188(f916(x76272,a904)))+~P105(f844(f60(x76272),x76271))+~P105(f844(f844(f328(x76272),x76274),x76271))+P105(f844(f844(f235(x76272),x76273),x76274))+~P105(f844(f844(f235(x76272),x76273),f844(f62(x76272,f232(x76272)),x76271)))
% 202.05/201.94 [7531]E(x75311,f2(a1))+E(f844(f844(f35(a1),x75312),x75311),x75313)+~P105(f844(f844(f234(a1),x75314),f2(a1)))+~E(x75312,f844(f844(f79(a1),f844(f844(f80(a1),x75311),x75313)),x75314))+P105(f844(f844(f235(a1),f2(a1)),x75311))+~P105(f844(f844(f235(a1),x75311),x75314))
% 202.05/201.94 [7547]E(f44(a1,x75472,x75471),x75473)+E(x75471,f2(a1))+~P105(f844(f844(f234(a1),x75473),f2(a1)))+~E(x75472,f844(f844(f79(a1),f844(f844(f80(a1),x75471),x75474)),x75473))+P105(f844(f844(f235(a1),f2(a1)),x75471))+~P105(f844(f844(f235(a1),x75471),x75473))
% 202.05/201.94 [7663]E(x76631,f2(a1))+E(f844(f844(f35(a1),x76632),x76631),x76633)+~E(x76632,f844(f844(f79(a1),f844(f844(f80(a1),x76631),x76633)),x76634))+~P105(f844(f844(f234(a1),f2(a1)),x76634))+~P105(f844(f844(f235(a1),f2(a1)),x76631))+~P105(f844(f844(f235(a1),x76634),x76631))
% 202.05/201.94 [7684]E(f44(a1,x76842,x76841),x76843)+E(x76841,f2(a1))+~E(x76842,f844(f844(f79(a1),f844(f844(f80(a1),x76841),x76844)),x76843))+~P105(f844(f844(f234(a1),f2(a1)),x76843))+~P105(f844(f844(f235(a1),f2(a1)),x76841))+~P105(f844(f844(f235(a1),x76843),x76841))
% 202.05/201.94 [7825]~P108(x78252)+E(x78251,f188(f916(x78252,a904)))+~P105(f844(f60(x78252),x78251))+~P105(f844(f844(f328(x78252),x78254),x78251))+~P105(f844(f844(f234(x78252),x78254),x78253))+P105(f844(f844(f234(x78252),f844(f62(x78252,f232(x78252)),x78251)),x78253))
% 202.05/201.94 [7826]~P108(x78262)+E(x78261,f188(f916(x78262,a904)))+~P105(f844(f60(x78262),x78261))+~P105(f844(f844(f235(x78262),x78264),x78263))+~P105(f844(f844(f328(x78262),x78264),x78261))+P105(f844(f844(f235(x78262),f844(f62(x78262,f232(x78262)),x78261)),x78263))
% 202.05/201.94 [8379]~P105(f844(f844(f234(a1),x83794),f2(a1)))+~E(x83791,f844(f844(f79(a1),f844(f844(f80(a1),x83792),x83793)),x83794))+~P105(f844(f844(f234(a1),f2(a1)),x83794))+~P105(f844(f844(f235(a1),x83794),x83792))+~P105(f844(f844(f235(a1),x83792),x83794))+P105(f844(f48(x83791,x83792),f844(f844(f251(a1,a1),x83793),x83794)))
% 202.05/201.94 [8545]~P109(x85451)+P105(f844(f844(f235(f916(x85451,a904)),f302(x85451,x85452,x85453)),f302(x85451,x85454,x85455)))+~P105(f844(f844(f234(x85451),x85454),x85452))+~P105(f844(f844(f234(x85451),x85454),x85455))+~P105(f844(f844(f234(x85451),x85453),x85455))+~P105(f844(f844(f235(x85451),x85453),x85455))
% 202.05/201.94 [8546]~P109(x85461)+P105(f844(f844(f235(f916(x85461,a904)),f302(x85461,x85462,x85463)),f302(x85461,x85464,x85465)))+~P105(f844(f844(f234(x85461),x85463),x85465))+~P105(f844(f844(f234(x85461),x85464),x85465))+~P105(f844(f844(f234(x85461),x85464),x85462))+~P105(f844(f844(f235(x85461),x85464),x85462))
% 202.05/201.94 [9400]P57(x94002,x94003,x94004,x94001)+E(x94001,f188(f916(x94002,a904)))+~P105(f844(f60(x94002),x94004))+~P105(f844(f60(x94002),x94001))+~P105(f844(f844(x94003,f516(x94001,x94004,x94003,x94002)),x94005))+~P105(f844(f844(f328(x94002),x94005),x94001))
% 202.05/201.94 [9401]P57(x94012,x94013,x94014,x94011)+E(x94011,f188(f916(x94012,a904)))+~P105(f844(f60(x94012),x94014))+~P105(f844(f60(x94012),x94011))+~P105(f844(f844(x94013,f783(x94013,x94011,x94014,x94012)),x94015))+~P105(f844(f844(f328(x94012),x94015),x94011))
% 202.05/201.94 [9402]P57(x94022,x94023,x94024,x94021)+E(x94021,f188(f916(x94022,a904)))+~P105(f844(f60(x94022),x94024))+~P105(f844(f60(x94022),x94021))+~P105(f844(f844(x94023,f784(x94021,x94024,x94023,x94022)),x94025))+~P105(f844(f844(f328(x94022),x94025),x94021))
% 202.05/201.94 [9548]~E(x95483,x95485)+~P69(x95481)+~P74(x95481)+~P39(x95483)+E(f844(f844(f8(a1,x95481),x95482),x95483),f844(f844(f8(a1,x95481),x95484),x95485))+P105(f844(f844(f234(a1),f2(a1)),f502(x95482,x95484,x95483,x95485,x95481)))
% 202.05/201.94 [9549]~E(x95493,x95495)+~P69(x95491)+~P74(x95491)+~P39(x95493)+E(f844(f844(f11(a1,x95491),x95492),x95493),f844(f844(f11(a1,x95491),x95494),x95495))+P105(f844(f844(f234(a1),f2(a1)),f492(x95492,x95494,x95493,x95495,x95491)))
% 202.05/201.94 [9721]~E(x97215,x97213)+~P69(x97211)+~P74(x97211)+~P39(x97215)+~E(f844(x97212,f502(x97214,x97212,x97215,x97213,x97211)),f844(x97214,f502(x97214,x97212,x97215,x97213,x97211)))+E(f844(f844(f8(a1,x97211),x97212),x97213),f844(f844(f8(a1,x97211),x97214),x97215))
% 202.05/201.94 [9722]~E(x97225,x97223)+~P69(x97221)+~P74(x97221)+~P39(x97225)+~E(f844(x97222,f492(x97224,x97222,x97225,x97223,x97221)),f844(x97224,f492(x97224,x97222,x97225,x97223,x97221)))+E(f844(f844(f11(a1,x97221),x97222),x97223),f844(f844(f11(a1,x97221),x97224),x97225))
% 202.05/201.94 [9810]~P79(x98103)+E(f844(x98101,x98102),f2(x98103))+~E(f844(f844(f8(x98104,x98103),x98101),x98105),f2(x98103))+~P105(f844(f60(x98104),x98105))+P105(f844(f844(f328(x98104),f404(x98102,x98101,x98105,x98104,x98103)),x98105))+~P105(f844(f844(f328(x98104),x98102),x98105))
% 202.05/201.94 [9937]~P79(x99373)+E(f844(x99371,x99372),f2(x99373))+~E(f844(f844(f8(x99374,x99373),x99371),x99375),f2(x99373))+~P105(f844(f60(x99374),x99375))+~P105(f844(f844(f328(x99374),x99372),x99375))+~P105(f844(f844(f234(x99373),f2(x99373)),f844(x99371,f404(x99372,x99371,x99375,x99374,x99373))))
% 202.05/201.94 [8464]~P135(x84641)+~P105(f844(f844(f234(x84641),x84643),x84645))+~P105(f844(f844(f234(x84641),x84642),x84644))+~P105(f844(f844(f234(x84641),f2(x84641)),x84643))+~P105(f844(f844(f234(x84641),f2(x84641)),x84644))+P105(f844(f844(f234(x84641),f844(f844(f80(x84641),x84642),x84643)),f844(f844(f80(x84641),x84644),x84645)))
% 202.05/201.94 [8465]~P135(x84651)+~P105(f844(f844(f234(x84651),x84653),x84655))+~P105(f844(f844(f234(x84651),x84652),x84654))+~P105(f844(f844(f234(x84651),f2(x84651)),x84653))+~P105(f844(f844(f234(x84651),f2(x84651)),x84652))+P105(f844(f844(f234(x84651),f844(f844(f80(x84651),x84652),x84653)),f844(f844(f80(x84651),x84654),x84655)))
% 202.05/201.94 [8466]~P65(x84661)+~P105(f844(f844(f235(x84661),f2(x84661)),x84665))+~P105(f844(f844(f234(x84661),x84665),x84663))+~P105(f844(f844(f234(x84661),x84662),x84664))+~P105(f844(f844(f234(x84661),f2(x84661)),x84662))+P105(f844(f844(f234(x84661),f844(f844(f290(x84661),x84662),x84663)),f844(f844(f290(x84661),x84664),x84665)))
% 202.05/201.94 [8467]~P131(x84671)+~P105(f844(f844(f234(x84671),x84673),x84675))+~P105(f844(f844(f234(x84671),f2(x84671)),x84672))+~P105(f844(f844(f235(x84671),x84672),x84674))+~P105(f844(f844(f235(x84671),f2(x84671)),x84673))+P105(f844(f844(f235(x84671),f844(f844(f80(x84671),x84672),x84673)),f844(f844(f80(x84671),x84674),x84675)))
% 202.05/201.94 [8468]~P131(x84681)+~P105(f844(f844(f234(x84681),x84682),x84684))+~P105(f844(f844(f234(x84681),f2(x84681)),x84683))+~P105(f844(f844(f235(x84681),x84683),x84685))+~P105(f844(f844(f235(x84681),f2(x84681)),x84682))+P105(f844(f844(f235(x84681),f844(f844(f80(x84681),x84682),x84683)),f844(f844(f80(x84681),x84684),x84685)))
% 202.05/201.94 [8469]~P131(x84691)+~P105(f844(f844(f234(x84691),f2(x84691)),x84693))+~P105(f844(f844(f234(x84691),f2(x84691)),x84692))+~P105(f844(f844(f235(x84691),x84693),x84695))+~P105(f844(f844(f235(x84691),x84692),x84694))+P105(f844(f844(f235(x84691),f844(f844(f80(x84691),x84692),x84693)),f844(f844(f80(x84691),x84694),x84695)))
% 202.05/201.94 [8470]~P131(x84701)+~P105(f844(f844(f234(x84701),f2(x84701)),x84703))+~P105(f844(f844(f235(x84701),x84703),x84705))+~P105(f844(f844(f235(x84701),x84702),x84704))+~P105(f844(f844(f235(x84701),f2(x84701)),x84704))+P105(f844(f844(f235(x84701),f844(f844(f80(x84701),x84702),x84703)),f844(f844(f80(x84701),x84704),x84705)))
% 202.05/201.94 [8471]~P65(x84711)+~P105(f844(f844(f234(x84711),x84715),x84713))+~P105(f844(f844(f234(x84711),f2(x84711)),x84712))+~P105(f844(f844(f235(x84711),x84712),x84714))+~P105(f844(f844(f235(x84711),f2(x84711)),x84715))+P105(f844(f844(f235(x84711),f844(f844(f290(x84711),x84712),x84713)),f844(f844(f290(x84711),x84714),x84715)))
% 202.05/201.94 [8472]~P65(x84721)+~P105(f844(f844(f234(x84721),x84722),x84724))+~P105(f844(f844(f235(x84721),x84725),x84723))+~P105(f844(f844(f235(x84721),f2(x84721)),x84725))+~P105(f844(f844(f235(x84721),f2(x84721)),x84722))+P105(f844(f844(f235(x84721),f844(f844(f290(x84721),x84722),x84723)),f844(f844(f290(x84721),x84724),x84725)))
% 202.05/201.94 [9853]~P69(x98535)+~P83(x98535)+E(x98531,f188(f916(x98532,a904)))+~P105(f844(f60(x98532),x98531))+P105(f844(f844(f328(x98532),f552(x98533,x98534,x98531,x98532,x98535)),x98531))+P105(f844(f844(f235(x98535),f844(f844(f8(x98532,x98535),x98534),x98531)),f844(f844(f8(x98532,x98535),x98533),x98531)))
% 202.05/201.94 [9962]~P69(x99621)+~P85(x99621)+~P105(f844(f60(x99622),x99625))+~P105(f844(f844(f234(x99621),f2(x99621)),f844(x99623,f875(x99623,x99624,x99625,x99622,x99621))))+P105(f844(f844(f234(x99621),f844(f844(f8(x99622,x99621),x99623),x99624)),f844(f844(f8(x99622,x99621),x99623),x99625)))+~P105(f844(f844(f234(f916(x99622,a904)),x99624),x99625))
% 202.05/201.94 [10133]~P69(x101333)+~P83(x101333)+E(x101331,f188(f916(x101332,a904)))+~P105(f844(f60(x101332),x101331))+~P105(f844(f844(f235(x101333),f844(x101334,f552(x101335,x101334,x101331,x101332,x101333))),f844(x101335,f552(x101335,x101334,x101331,x101332,x101333))))+P105(f844(f844(f235(x101333),f844(f844(f8(x101332,x101333),x101334),x101331)),f844(f844(f8(x101332,x101333),x101335),x101331)))
% 202.05/201.94 [7207]~P16(x72072,x72075,x72074)+E(x72071,f188(f916(x72072,a904)))+E(x72073,f188(f916(x72072,a904)))+~P105(f844(f60(x72072),x72071))+~P105(f844(f60(x72072),x72073))+E(f844(x72074,f844(f844(f110(f916(x72072,a904)),x72073),x72071)),f844(f844(x72075,f844(x72074,x72073)),f844(x72074,x72071)))
% 202.05/201.94 [7792]~P146(x77921,x77924,x77923)+P105(f844(x77921,x77922))+~P105(f844(f844(f235(a1),x77924),f2(a1)))+~P105(f844(f844(f234(a1),x77925),f2(a1)))+~E(x77923,f844(f844(f79(a1),f844(f844(f80(a1),x77924),x77922)),x77925))+~P105(f844(f844(f235(a1),x77924),x77925))
% 202.05/201.94 [7793]~P145(x77931,x77934,x77933)+P105(f844(x77931,x77932))+~P105(f844(f844(f235(a1),x77934),f2(a1)))+~P105(f844(f844(f234(a1),x77932),f2(a1)))+~E(x77933,f844(f844(f79(a1),f844(f844(f80(a1),x77934),x77935)),x77932))+~P105(f844(f844(f235(a1),x77934),x77932))
% 202.05/201.94 [7834]~P146(x78341,x78344,x78343)+P105(f844(x78341,x78342))+~E(x78343,f844(f844(f79(a1),f844(f844(f80(a1),x78344),x78342)),x78345))+~P105(f844(f844(f234(a1),f2(a1)),x78345))+~P105(f844(f844(f235(a1),f2(a1)),x78344))+~P105(f844(f844(f235(a1),x78345),x78344))
% 202.05/201.94 [7835]~P145(x78351,x78354,x78353)+P105(f844(x78351,x78352))+~E(x78353,f844(f844(f79(a1),f844(f844(f80(a1),x78354),x78355)),x78352))+~P105(f844(f844(f234(a1),f2(a1)),x78352))+~P105(f844(f844(f235(a1),f2(a1)),x78354))+~P105(f844(f844(f235(a1),x78352),x78354))
% 202.05/201.94 [8753]P105(f844(f844(x87531,x87532),x87533))+~P105(f844(f844(x87531,f844(f844(f35(a1),x87534),x87535)),f44(a1,x87534,x87535)))+~P105(f844(f844(f235(a1),x87535),f2(a1)))+~P105(f844(f844(f234(a1),x87533),f2(a1)))+~E(x87534,f844(f844(f79(a1),f844(f844(f80(a1),x87535),x87532)),x87533))+~P105(f844(f844(f235(a1),x87535),x87533))
% 202.05/201.94 [8762]P105(f844(f844(x87621,x87622),x87623))+~P105(f844(f844(x87621,f844(f844(f35(a1),x87624),x87625)),f44(a1,x87624,x87625)))+~E(x87624,f844(f844(f79(a1),f844(f844(f80(a1),x87625),x87622)),x87623))+~P105(f844(f844(f234(a1),f2(a1)),x87623))+~P105(f844(f844(f235(a1),f2(a1)),x87625))+~P105(f844(f844(f235(a1),x87623),x87625))
% 202.05/201.94 [9023]E(x90231,x90232)+~P54(x90233,x90235,x90234)+~P105(f844(f844(f328(x90233),x90232),x90235))+~P105(f844(f844(f328(x90233),x90231),x90235))+P105(f844(f844(f328(f915(x90233,x90233)),f844(f844(f251(x90233,x90233),x90231),x90232)),x90234))+P105(f844(f844(f328(f915(x90233,x90233)),f844(f844(f251(x90233,x90233),x90232),x90231)),x90234))
% 202.05/201.94 [9880]~P69(x98805)+~P85(x98805)+~P105(f844(f60(x98801),x98804))+P105(f844(f844(f234(x98805),f844(f844(f8(x98801,x98805),x98802),x98803)),f844(f844(f8(x98801,x98805),x98802),x98804)))+~P105(f844(f844(f234(f916(x98801,a904)),x98803),x98804))+P105(f844(f844(f328(x98801),f875(x98802,x98803,x98804,x98801,x98805)),f844(f844(f3(f916(x98801,a904)),x98804),x98803)))
% 202.05/201.94 [9970]E(x99701,f188(f916(x99702,a904)))+~P105(f844(f60(x99702),x99703))+~P105(f844(f60(x99702),x99701))+P105(f844(f844(f328(f915(f916(x99702,a904),f916(x99702,a904))),f844(f844(f251(f916(x99702,a904),f916(x99702,a904)),x99703),x99701)),f317(x99702,x99704)))+~P105(f844(f844(f328(x99702),x99705),x99701))+~P105(f844(f844(f328(f915(x99702,x99702)),f844(f844(f251(x99702,x99702),f519(x99704,x99701,x99703,x99702)),x99705)),x99704))
% 202.05/201.94 [9971]E(x99711,f188(f916(x99712,a904)))+~P105(f844(f60(x99712),x99713))+~P105(f844(f60(x99712),x99711))+P105(f844(f844(f328(f915(f916(x99712,a904),f916(x99712,a904))),f844(f844(f251(f916(x99712,a904),f916(x99712,a904)),x99713),x99711)),f317(x99712,x99714)))+~P105(f844(f844(f328(x99712),x99715),x99711))+~P105(f844(f844(f328(f915(x99712,x99712)),f844(f844(f251(x99712,x99712),f592(x99714,x99711,x99713,x99712)),x99715)),x99714))
% 202.05/201.94 [10137]~P79(x101371)+~E(f844(f844(f8(x101375,x101371),x101372),x101376),x101374)+~P105(f844(f60(x101375),x101376))+P105(f844(f844(f328(x101375),f406(x101373,x101374,x101372,x101376,x101375,x101371)),x101376))+P105(f844(f844(f234(x101371),f844(x101372,x101373)),x101374))+~P105(f844(f844(f328(x101375),x101373),x101376))
% 202.05/201.94 [10184]~P79(x101841)+~E(f844(f844(f8(x101845,x101841),x101842),x101846),x101844)+~P105(f844(f60(x101845),x101846))+~P105(f844(f844(f328(x101845),x101843),x101846))+~P105(f844(f844(f234(x101841),f2(x101841)),f844(x101842,f406(x101843,x101844,x101842,x101846,x101845,x101841))))+P105(f844(f844(f234(x101841),f844(x101842,x101843)),x101844))
% 202.05/201.94 [10320]~E(x103205,x103208)+~E(x103204,x103207)+~P107(x103201)+~P69(x103202)+E(f844(f844(f8(x103201,x103202),x103203),f844(f301(x103201,x103204),x103205)),f844(f844(f8(x103201,x103202),x103206),f844(f301(x103201,x103207),x103208)))+P105(f844(f844(f234(x103201),x103204),f595(x103203,x103206,x103205,x103208,x103204,x103207,x103201,x103202)))
% 202.05/201.94 [10336]~E(x103367,x103364)+~E(x103368,x103365)+~P107(x103361)+~P69(x103362)+~E(f844(x103363,f595(x103366,x103363,x103368,x103365,x103367,x103364,x103361,x103362)),f844(x103366,f595(x103366,x103363,x103368,x103365,x103367,x103364,x103361,x103362)))+E(f844(f844(f8(x103361,x103362),x103363),f844(f301(x103361,x103364),x103365)),f844(f844(f8(x103361,x103362),x103366),f844(f301(x103361,x103367),x103368)))
% 202.05/201.94 [10339]~E(x103394,x103397)+~E(x103395,x103398)+~P107(x103391)+~P69(x103392)+E(f844(f844(f8(x103391,x103392),x103393),f844(f301(x103391,x103394),x103395)),f844(f844(f8(x103391,x103392),x103396),f844(f301(x103391,x103397),x103398)))+P105(f844(f844(f235(x103391),f595(x103393,x103396,x103395,x103398,x103394,x103397,x103391,x103392)),x103395))
% 202.05/201.94 [9977]~P7(x99775,x99779,x99776)+~P7(x99771,x997710,x99773)+~P11(x99771,x99775,f916(x99772,a904),x99773,x99776,x99778)+~P105(f844(f844(f328(x99775),x99777),x99779))+~P105(f844(f844(f328(x99771),x99774),x997710))+E(f844(f844(f39(x99771,f916(x99772,a904)),f844(f284(x99771,x99771,x99773),f844(f844(f308(x99771),x99774),f188(f916(x99771,a904))))),f844(f844(f10(f916(x99775,f916(x99772,a904)),f916(x99772,a904),x99771),f844(f39(x99775,f916(x99772,a904)),f844(f284(x99775,x99775,x99776),f844(f844(f308(x99775),x99777),f188(f916(x99775,a904)))))),x99778)),f844(f844(x99778,x99774),x99777))
% 202.05/201.94 [5722]~P108(x57223)+~P12(x57223,x57222)+~P12(x57223,x57221)+E(x57221,x57222)+~E(f844(f172(x57223),x57221),f844(f172(x57223),x57222))+~P105(f844(f137(x57223),x57222))+~P105(f844(f137(x57223),x57221))
% 202.05/201.94 [5045]~P130(x50452)+~P132(x50452)+~P142(x50452)+~P115(x50452)+~E(x50453,f2(x50452))+E(x50451,f2(a908))+E(f844(f844(f243(x50452),x50453),x50451),f2(x50452))
% 202.05/201.94 [9278]E(x92781,f2(a908))+~E(x92782,f844(f844(f79(a908),f844(f844(f80(a908),f844(f250(a908,a908),x92783)),x92781)),f844(f255(a908,a908),x92783)))+P105(f844(f47(x92782,x92781),x92783))+~P105(f844(f844(f234(a908),f844(f255(a908,a908),x92783)),f2(a908)))+~P105(f844(f844(f234(a908),f2(a908)),f844(f255(a908,a908),x92783)))+~P105(f844(f844(f235(a908),x92781),f844(f255(a908,a908),x92783)))+~P105(f844(f844(f235(a908),f844(f255(a908,a908),x92783)),x92781))
% 202.05/201.94 [9286]~E(f844(f250(a908,a908),x92863),f2(a908))+~E(x92861,f844(f844(f79(a908),f844(f844(f80(a908),f844(f250(a908,a908),x92863)),x92862)),f844(f255(a908,a908),x92863)))+P105(f844(f47(x92861,x92862),x92863))+~P105(f844(f844(f234(a908),f844(f255(a908,a908),x92863)),f2(a908)))+~P105(f844(f844(f234(a908),f2(a908)),f844(f255(a908,a908),x92863)))+~P105(f844(f844(f235(a908),x92862),f844(f255(a908,a908),x92863)))+~P105(f844(f844(f235(a908),f844(f255(a908,a908),x92863)),x92862))
% 202.05/201.94 [8139]~P67(x81392)+E(x81391,f188(f916(x81392,a904)))+E(x81393,f188(f916(x81392,a904)))+~P105(f844(f60(x81392),x81391))+~P105(f844(f60(x81392),x81393))+~E(f844(f844(f101(f916(x81392,a904)),x81393),x81391),f188(f916(x81392,a904)))+E(f844(f844(f80(x81392),f844(f62(x81392,f80(x81392)),x81393)),f844(f62(x81392,f80(x81392)),x81391)),f844(f62(x81392,f80(x81392)),f844(f844(f110(f916(x81392,a904)),x81393),x81391)))
% 202.05/201.94 [7928]E(x79281,f2(a1))+E(f844(f844(f35(a1),x79282),x79281),x79283)+~P105(f844(f844(f234(a1),x79284),f2(a1)))+~E(x79282,f844(f844(f79(a1),f844(f844(f80(a1),x79281),x79283)),x79284))+~P105(f844(f844(f234(a1),f2(a1)),x79284))+~P105(f844(f844(f235(a1),x79284),x79281))+~P105(f844(f844(f235(a1),x79281),x79284))
% 202.05/201.94 [7936]E(f44(a1,x79362,x79361),x79363)+E(x79361,f2(a1))+~P105(f844(f844(f234(a1),x79363),f2(a1)))+~E(x79362,f844(f844(f79(a1),f844(f844(f80(a1),x79361),x79364)),x79363))+~P105(f844(f844(f234(a1),f2(a1)),x79363))+~P105(f844(f844(f235(a1),x79363),x79361))+~P105(f844(f844(f235(a1),x79361),x79363))
% 202.05/201.94 [7843]~P17(x78432,x78435,x78434)+E(x78431,f188(f916(x78432,a904)))+E(x78433,f188(f916(x78432,a904)))+~P105(f844(f60(x78432),x78431))+~P105(f844(f60(x78432),x78433))+~E(f844(f844(f101(f916(x78432,a904)),x78433),x78431),f188(f916(x78432,a904)))+E(f844(x78434,f844(f844(f110(f916(x78432,a904)),x78433),x78431)),f844(f844(x78435,f844(x78434,x78433)),f844(x78434,x78431)))
% 202.05/201.94 [9521]~P24(x95213,x95211,x95215,x95214)+~P24(x95211,x95213,x95216,x95212)+E(f844(f34(x95211),x95212),f844(f34(x95213),x95214))+~P105(f844(f60(x95213),x95214))+~P105(f844(f60(x95211),x95212))+~P105(f844(f844(f234(f916(x95213,a904)),f844(f309(x95211,x95213,x95216),x95212)),x95214))+~P105(f844(f844(f234(f916(x95211,a904)),f844(f309(x95213,x95211,x95215),x95214)),x95212))
% 202.05/201.94 [9465]~P105(f844(f844(f235(a1),f844(f844(f79(a1),f844(f844(f80(a1),x94655),x94651)),x94656)),f2(a1)))+~E(f844(f844(f79(a1),f844(f844(f80(a1),x94653),x94652)),x94654),f844(f844(f79(a1),f844(f844(f80(a1),x94655),x94651)),x94656))+~P105(f844(f844(f234(a1),f2(a1)),x94656))+~P105(f844(f844(f235(a1),f2(a1)),x94655))+~P105(f844(f844(f234(a1),x94655),x94653))+~P105(f844(f844(f235(a1),x94654),x94653))+P105(f844(f844(f234(a1),x94651),x94652))
% 202.05/201.94 [9229]~E(f844(f844(f79(a1),f844(f844(f80(a1),x92293),x92291)),x92294),f844(f844(f79(a1),f844(f844(f80(a1),x92295),x92292)),x92296))+~P105(f844(f844(f234(a1),f2(a1)),x92294))+~P105(f844(f844(f235(a1),f2(a1)),x92295))+~P105(f844(f844(f234(a1),x92295),x92293))+~P105(f844(f844(f235(a1),x92296),x92295))+P105(f844(f844(f234(a1),x92291),x92292))+~P105(f844(f844(f234(a1),f2(a1)),f844(f844(f79(a1),f844(f844(f80(a1),x92295),x92292)),x92296)))
% 202.05/201.94 [9405]~P129(x94051)+~E(f844(f844(f79(x94051),x94052),x94054),f77(x94051))+~P105(f844(f844(f234(x94051),x94055),x94056))+~P105(f844(f844(f234(x94051),x94053),x94056))+~P105(f844(f844(f234(x94051),f2(x94051)),x94054))+~P105(f844(f844(f234(x94051),f2(x94051)),x94052))+P105(f844(f844(f234(x94051),f844(f844(f79(x94051),f844(f844(f80(x94051),x94052),x94053)),f844(f844(f80(x94051),x94054),x94055))),x94056))
% 202.05/201.94 [9406]~P127(x94061)+~E(f844(f844(f79(x94061),x94062),x94064),f77(x94061))+~P105(f844(f844(f234(x94061),f2(x94061)),x94064))+~P105(f844(f844(f234(x94061),f2(x94061)),x94062))+~P105(f844(f844(f235(x94061),x94065),x94066))+~P105(f844(f844(f235(x94061),x94063),x94066))+P105(f844(f844(f235(x94061),f844(f844(f79(x94061),f844(f844(f80(x94061),x94062),x94063)),f844(f844(f80(x94061),x94064),x94065))),x94066))
% 202.05/201.94 [10231]~P7(x102317,x102316,x102315)+E(x102311,x102312)+~P10(x102317,f916(x102314,a904),x102315,x102313)+E(f844(x102313,f503(x102311,x102312,x102313,x102314,x102315,x102316,x102317)),f844(x102313,f504(x102311,x102312,x102313,x102314,x102315,x102316,x102317)))+~E(f844(f844(f39(x102317,f916(x102314,a904)),x102311),x102313),f844(f844(f39(x102317,f916(x102314,a904)),x102312),x102313))+~P105(f844(f844(f328(f916(x102317,a904)),x102312),f844(f844(f59(x102317),x102316),x102315)))+~P105(f844(f844(f328(f916(x102317,a904)),x102311),f844(f844(f59(x102317),x102316),x102315)))
% 202.05/201.94 [10276]~P7(x102763,x102767,x102766)+E(x102761,x102762)+~P10(x102763,f916(x102765,a904),x102766,x102764)+~E(f844(f844(f39(x102763,f916(x102765,a904)),x102761),x102764),f844(f844(f39(x102763,f916(x102765,a904)),x102762),x102764))+P105(f844(f844(f328(x102763),f504(x102761,x102762,x102764,x102765,x102766,x102767,x102763)),x102767))+~P105(f844(f844(f328(f916(x102763,a904)),x102762),f844(f844(f59(x102763),x102767),x102766)))+~P105(f844(f844(f328(f916(x102763,a904)),x102761),f844(f844(f59(x102763),x102767),x102766)))
% 202.05/201.94 [10277]~P7(x102773,x102777,x102776)+E(x102771,x102772)+~P10(x102773,f916(x102775,a904),x102776,x102774)+~E(f844(f844(f39(x102773,f916(x102775,a904)),x102771),x102774),f844(f844(f39(x102773,f916(x102775,a904)),x102772),x102774))+P105(f844(f844(f328(x102773),f503(x102771,x102772,x102774,x102775,x102776,x102777,x102773)),x102777))+~P105(f844(f844(f328(f916(x102773,a904)),x102772),f844(f844(f59(x102773),x102777),x102776)))+~P105(f844(f844(f328(f916(x102773,a904)),x102771),f844(f844(f59(x102773),x102777),x102776)))
% 202.05/201.94 [10355]E(x103551,x103552)+~P7(x103553,x103556,x103557)+~P10(x103553,f916(x103554,a904),x103557,x103555)+~E(f844(f844(f39(x103553,f916(x103554,a904)),x103551),x103555),f844(f844(f39(x103553,f916(x103554,a904)),x103552),x103555))+~P105(f844(f844(f328(f915(x103553,x103553)),f844(f844(f251(x103553,x103553),f504(x103551,x103552,x103555,x103554,x103557,x103556,x103553)),f503(x103551,x103552,x103555,x103554,x103557,x103556,x103553))),x103557))+~P105(f844(f844(f328(f916(x103553,a904)),x103552),f844(f844(f59(x103553),x103556),x103557)))+~P105(f844(f844(f328(f916(x103553,a904)),x103551),f844(f844(f59(x103553),x103556),x103557)))
% 202.05/201.94 [9228]~P7(x92281,x92287,x92284)+~E(x92285,x92286)+~P105(f844(f844(f328(x92281),x92283),x92286))+~P105(f844(f844(f328(x92281),x92282),x92285))+~P105(f844(f844(f328(f916(x92281,a904)),x92286),f844(f844(f59(x92281),x92287),x92284)))+~P105(f844(f844(f328(f916(x92281,a904)),x92285),f844(f844(f59(x92281),x92287),x92284)))+P105(f844(f844(f328(f915(x92281,x92281)),f844(f844(f251(x92281,x92281),x92282),x92283)),x92284))
% 202.05/201.94 [9363]E(x93631,x93632)+~P7(x93633,x93634,x93635)+~P105(f844(f844(f328(x93633),x93636),x93632))+~P105(f844(f844(f328(x93633),x93637),x93631))+~P105(f844(f844(f328(f916(x93633,a904)),x93632),f844(f844(f59(x93633),x93634),x93635)))+~P105(f844(f844(f328(f916(x93633,a904)),x93631),f844(f844(f59(x93633),x93634),x93635)))+~P105(f844(f844(f328(f915(x93633,x93633)),f844(f844(f251(x93633,x93633),x93637),x93636)),x93635))
% 202.05/201.94 [10382]~P7(x103829,x103828,x103827)+~P7(x103821,x1038211,x1038210)+~P11(x103821,x103829,f916(x103826,a904),x1038210,x103827,x103825)+P105(f844(f844(f328(x103821),f506(x103822,x103823,x103824,x103825,x103826,x103827,x103828,x103829,x1038210,x1038211,x103821)),x1038211))+~P105(f844(f844(f328(f916(x103829,a904)),x103823),f844(f844(f59(x103829),x103828),x103827)))+~P105(f844(f844(f328(f916(x103821,a904)),x103824),f844(f844(f59(x103821),x1038211),x1038210)))+P105(f844(f844(f328(f916(x103826,a904)),f844(f844(f39(x103821,f916(x103826,a904)),x103824),f844(f844(f10(f916(x103829,f916(x103826,a904)),f916(x103826,a904),x103821),f844(f39(x103829,f916(x103826,a904)),x103823)),x103825))),x103822))
% 202.05/201.94 [10383]~P7(x1038311,x1038310,x103839)+~P7(x103831,x103838,x103837)+~P11(x1038311,x103831,f916(x103836,a904),x103839,x103837,x103835)+P105(f844(f844(f328(x103831),f507(x103832,x103833,x103834,x103835,x103836,x103837,x103838,x103831,x103839,x1038310,x1038311)),x103838))+~P105(f844(f844(f328(f916(x1038311,a904)),x103834),f844(f844(f59(x1038311),x1038310),x103839)))+~P105(f844(f844(f328(f916(x103831,a904)),x103833),f844(f844(f59(x103831),x103838),x103837)))+P105(f844(f844(f328(f916(x103836,a904)),f844(f844(f39(x1038311,f916(x103836,a904)),x103834),f844(f844(f10(f916(x103831,f916(x103836,a904)),f916(x103836,a904),x1038311),f844(f39(x103831,f916(x103836,a904)),x103833)),x103835))),x103832))
% 202.05/201.94 [10384]~P7(x103842,x103848,x103849)+~P7(x103844,x1038410,x1038411)+~P11(x103842,x103844,f916(x103841,a904),x103849,x1038411,x103846)+~P105(f844(f844(f328(f916(x103842,a904)),x103843),f844(f844(f59(x103842),x103848),x103849)))+~P105(f844(f844(f328(f916(x103844,a904)),x103845),f844(f844(f59(x103844),x1038410),x1038411)))+~P105(f844(f844(f328(f916(x103841,a904)),f844(f844(x103846,f506(x103847,x103845,x103843,x103846,x103841,x1038411,x1038410,x103844,x103849,x103848,x103842)),f507(x103847,x103845,x103843,x103846,x103841,x1038411,x1038410,x103844,x103849,x103848,x103842))),x103847))+P105(f844(f844(f328(f916(x103841,a904)),f844(f844(f39(x103842,f916(x103841,a904)),x103843),f844(f844(f10(f916(x103844,f916(x103841,a904)),f916(x103841,a904),x103842),f844(f39(x103844,f916(x103841,a904)),x103845)),x103846))),x103847))
% 202.05/201.94 [9264]E(x92641,x92642)+~P108(x92644)+~P24(x92643,x92644,x92645,f844(f844(f110(f916(x92643,a904)),f844(f172(x92643),x92641)),f844(f172(x92643),x92642)))+~E(f844(f172(x92643),x92641),f844(f172(x92643),x92642))+~P12(x92644,f844(f844(f154(x92643,x92644),x92645),x92642))+~P12(x92644,f844(f844(f154(x92643,x92644),x92645),x92641))+~P105(f844(f137(x92644),f844(f844(f154(x92643,x92644),x92645),x92642)))+~P105(f844(f137(x92644),f844(f844(f154(x92643,x92644),x92645),x92641)))
% 202.05/201.94 %EqnAxiom
% 202.05/201.94 [1]E(x11,x11)
% 202.05/201.94 [2]E(x22,x21)+~E(x21,x22)
% 202.05/201.94 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 202.05/201.94 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 202.05/201.94 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 202.05/201.94 [6]~E(x61,x62)+E(f100(x61),f100(x62))
% 202.05/201.94 [7]~E(x71,x72)+E(f188(x71),f188(x72))
% 202.05/201.94 [8]~E(x81,x82)+E(f844(x81,x83),f844(x82,x83))
% 202.05/201.94 [9]~E(x91,x92)+E(f844(x93,x91),f844(x93,x92))
% 202.05/201.94 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 202.05/201.94 [11]~E(x111,x112)+E(f916(x111,x113),f916(x112,x113))
% 202.05/201.94 [12]~E(x121,x122)+E(f916(x123,x121),f916(x123,x122))
% 202.05/201.94 [13]~E(x131,x132)+E(f101(x131),f101(x132))
% 202.05/201.94 [14]~E(x141,x142)+E(f232(x141),f232(x142))
% 202.05/201.94 [15]~E(x151,x152)+E(f110(x151),f110(x152))
% 202.05/201.94 [16]~E(x161,x162)+E(f233(x161),f233(x162))
% 202.05/201.94 [17]~E(x171,x172)+E(f102(x171),f102(x172))
% 202.05/201.94 [18]~E(x181,x182)+E(f31(x181),f31(x182))
% 202.05/201.94 [19]~E(x191,x192)+E(f83(x191),f83(x192))
% 202.05/201.94 [20]~E(x201,x202)+E(f9(x201,x203,x204),f9(x202,x203,x204))
% 202.05/201.94 [21]~E(x211,x212)+E(f9(x213,x211,x214),f9(x213,x212,x214))
% 202.05/201.94 [22]~E(x221,x222)+E(f9(x223,x224,x221),f9(x223,x224,x222))
% 202.05/201.94 [23]~E(x231,x232)+E(f103(x231),f103(x232))
% 202.05/201.94 [24]~E(x241,x242)+E(f507(x241,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f507(x242,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 202.05/201.94 [25]~E(x251,x252)+E(f507(x253,x251,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f507(x253,x252,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 202.05/201.94 [26]~E(x261,x262)+E(f507(x263,x264,x261,x265,x266,x267,x268,x269,x2610,x2611,x2612),f507(x263,x264,x262,x265,x266,x267,x268,x269,x2610,x2611,x2612))
% 202.05/201.94 [27]~E(x271,x272)+E(f507(x273,x274,x275,x271,x276,x277,x278,x279,x2710,x2711,x2712),f507(x273,x274,x275,x272,x276,x277,x278,x279,x2710,x2711,x2712))
% 202.05/201.94 [28]~E(x281,x282)+E(f507(x283,x284,x285,x286,x281,x287,x288,x289,x2810,x2811,x2812),f507(x283,x284,x285,x286,x282,x287,x288,x289,x2810,x2811,x2812))
% 202.05/201.94 [29]~E(x291,x292)+E(f507(x293,x294,x295,x296,x297,x291,x298,x299,x2910,x2911,x2912),f507(x293,x294,x295,x296,x297,x292,x298,x299,x2910,x2911,x2912))
% 202.05/201.94 [30]~E(x301,x302)+E(f507(x303,x304,x305,x306,x307,x308,x301,x309,x3010,x3011,x3012),f507(x303,x304,x305,x306,x307,x308,x302,x309,x3010,x3011,x3012))
% 202.05/201.94 [31]~E(x311,x312)+E(f507(x313,x314,x315,x316,x317,x318,x319,x311,x3110,x3111,x3112),f507(x313,x314,x315,x316,x317,x318,x319,x312,x3110,x3111,x3112))
% 202.05/201.94 [32]~E(x321,x322)+E(f507(x323,x324,x325,x326,x327,x328,x329,x3210,x321,x3211,x3212),f507(x323,x324,x325,x326,x327,x328,x329,x3210,x322,x3211,x3212))
% 202.05/201.94 [33]~E(x331,x332)+E(f507(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x331,x3312),f507(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x332,x3312))
% 202.05/201.94 [34]~E(x341,x342)+E(f507(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x341),f507(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x342))
% 202.05/201.94 [35]~E(x351,x352)+E(f77(x351),f77(x352))
% 202.05/201.94 [36]~E(x361,x362)+E(f8(x361,x363),f8(x362,x363))
% 202.05/201.94 [37]~E(x371,x372)+E(f8(x373,x371),f8(x373,x372))
% 202.05/201.94 [38]~E(x381,x382)+E(f506(x381,x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f506(x382,x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 202.05/201.94 [39]~E(x391,x392)+E(f506(x393,x391,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912),f506(x393,x392,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 202.05/201.94 [40]~E(x401,x402)+E(f506(x403,x404,x401,x405,x406,x407,x408,x409,x4010,x4011,x4012),f506(x403,x404,x402,x405,x406,x407,x408,x409,x4010,x4011,x4012))
% 202.05/201.94 [41]~E(x411,x412)+E(f506(x413,x414,x415,x411,x416,x417,x418,x419,x4110,x4111,x4112),f506(x413,x414,x415,x412,x416,x417,x418,x419,x4110,x4111,x4112))
% 202.05/201.94 [42]~E(x421,x422)+E(f506(x423,x424,x425,x426,x421,x427,x428,x429,x4210,x4211,x4212),f506(x423,x424,x425,x426,x422,x427,x428,x429,x4210,x4211,x4212))
% 202.05/201.94 [43]~E(x431,x432)+E(f506(x433,x434,x435,x436,x437,x431,x438,x439,x4310,x4311,x4312),f506(x433,x434,x435,x436,x437,x432,x438,x439,x4310,x4311,x4312))
% 202.05/201.94 [44]~E(x441,x442)+E(f506(x443,x444,x445,x446,x447,x448,x441,x449,x4410,x4411,x4412),f506(x443,x444,x445,x446,x447,x448,x442,x449,x4410,x4411,x4412))
% 202.05/201.94 [45]~E(x451,x452)+E(f506(x453,x454,x455,x456,x457,x458,x459,x451,x4510,x4511,x4512),f506(x453,x454,x455,x456,x457,x458,x459,x452,x4510,x4511,x4512))
% 202.05/201.94 [46]~E(x461,x462)+E(f506(x463,x464,x465,x466,x467,x468,x469,x4610,x461,x4611,x4612),f506(x463,x464,x465,x466,x467,x468,x469,x4610,x462,x4611,x4612))
% 202.05/201.94 [47]~E(x471,x472)+E(f506(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x471,x4712),f506(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x472,x4712))
% 202.05/201.94 [48]~E(x481,x482)+E(f506(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x4812,x481),f506(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x4812,x482))
% 202.05/201.94 [49]~E(x491,x492)+E(f6(x491),f6(x492))
% 202.05/201.94 [50]~E(x501,x502)+E(f328(x501),f328(x502))
% 202.05/201.94 [51]~E(x511,x512)+E(f12(x511,x513),f12(x512,x513))
% 202.05/201.94 [52]~E(x521,x522)+E(f12(x523,x521),f12(x523,x522))
% 202.05/201.94 [53]~E(x531,x532)+E(f111(x531),f111(x532))
% 202.05/201.94 [54]~E(x541,x542)+E(f909(x541),f909(x542))
% 202.05/201.94 [55]~E(x551,x552)+E(f907(x551),f907(x552))
% 202.05/201.94 [56]~E(x561,x562)+E(f912(x561),f912(x562))
% 202.05/201.94 [57]~E(x571,x572)+E(f235(x571),f235(x572))
% 202.05/201.94 [58]~E(x581,x582)+E(f910(x581),f910(x582))
% 202.05/201.94 [59]~E(x591,x592)+E(f78(x591),f78(x592))
% 202.05/201.94 [60]~E(x601,x602)+E(f10(x601,x603,x604),f10(x602,x603,x604))
% 202.05/201.94 [61]~E(x611,x612)+E(f10(x613,x611,x614),f10(x613,x612,x614))
% 202.05/201.94 [62]~E(x621,x622)+E(f10(x623,x624,x621),f10(x623,x624,x622))
% 202.05/201.94 [63]~E(x631,x632)+E(f189(x631),f189(x632))
% 202.05/201.94 [64]~E(x641,x642)+E(f134(x641),f134(x642))
% 202.05/201.94 [65]~E(x651,x652)+E(f301(x651,x653),f301(x652,x653))
% 202.05/201.94 [66]~E(x661,x662)+E(f301(x663,x661),f301(x663,x662))
% 202.05/201.94 [67]~E(x671,x672)+E(f79(x671),f79(x672))
% 202.05/201.94 [68]~E(x681,x682)+E(f20(x681,x683,x684),f20(x682,x683,x684))
% 202.05/201.94 [69]~E(x691,x692)+E(f20(x693,x691,x694),f20(x693,x692,x694))
% 202.05/201.94 [70]~E(x701,x702)+E(f20(x703,x704,x701),f20(x703,x704,x702))
% 202.05/201.94 [71]~E(x711,x712)+E(f80(x711),f80(x712))
% 202.05/201.94 [72]~E(x721,x722)+E(f290(x721),f290(x722))
% 202.05/201.94 [73]~E(x731,x732)+E(f234(x731),f234(x732))
% 202.05/201.94 [74]~E(x741,x742)+E(f261(x741),f261(x742))
% 202.05/201.94 [75]~E(x751,x752)+E(f285(x751,x753),f285(x752,x753))
% 202.05/201.94 [76]~E(x761,x762)+E(f285(x763,x761),f285(x763,x762))
% 202.05/201.94 [77]~E(x771,x772)+E(f35(x771),f35(x772))
% 202.05/201.94 [78]~E(x781,x782)+E(f172(x781),f172(x782))
% 202.05/201.94 [79]~E(x791,x792)+E(f60(x791),f60(x792))
% 202.05/201.94 [80]~E(x801,x802)+E(f175(x801),f175(x802))
% 202.05/201.94 [81]~E(x811,x812)+E(f44(x811,x813,x814),f44(x812,x813,x814))
% 202.05/201.94 [82]~E(x821,x822)+E(f44(x823,x821,x824),f44(x823,x822,x824))
% 202.05/201.94 [83]~E(x831,x832)+E(f44(x833,x834,x831),f44(x833,x834,x832))
% 202.05/201.94 [84]~E(x841,x842)+E(f59(x841),f59(x842))
% 202.05/201.94 [85]~E(x851,x852)+E(f241(x851),f241(x852))
% 202.05/201.94 [86]~E(x861,x862)+E(f915(x861,x863),f915(x862,x863))
% 202.05/201.94 [87]~E(x871,x872)+E(f915(x873,x871),f915(x873,x872))
% 202.05/201.94 [88]~E(x881,x882)+E(f284(x881,x883,x884),f284(x882,x883,x884))
% 202.05/201.94 [89]~E(x891,x892)+E(f284(x893,x891,x894),f284(x893,x892,x894))
% 202.05/201.94 [90]~E(x901,x902)+E(f284(x903,x904,x901),f284(x903,x904,x902))
% 202.05/201.94 [91]~E(x911,x912)+E(f186(x911),f186(x912))
% 202.05/201.94 [92]~E(x921,x922)+E(f308(x921),f308(x922))
% 202.05/201.94 [93]~E(x931,x932)+E(f157(x931,x933),f157(x932,x933))
% 202.05/201.94 [94]~E(x941,x942)+E(f157(x943,x941),f157(x943,x942))
% 202.05/201.94 [95]~E(x951,x952)+E(f39(x951,x953),f39(x952,x953))
% 202.05/201.94 [96]~E(x961,x962)+E(f39(x963,x961),f39(x963,x962))
% 202.05/201.94 [97]~E(x971,x972)+E(f856(x971,x973,x974),f856(x972,x973,x974))
% 202.05/201.94 [98]~E(x981,x982)+E(f856(x983,x981,x984),f856(x983,x982,x984))
% 202.05/201.94 [99]~E(x991,x992)+E(f856(x993,x994,x991),f856(x993,x994,x992))
% 202.05/201.94 [100]~E(x1001,x1002)+E(f254(x1001,x1003,x1004,x1005),f254(x1002,x1003,x1004,x1005))
% 202.05/201.94 [101]~E(x1011,x1012)+E(f254(x1013,x1011,x1014,x1015),f254(x1013,x1012,x1014,x1015))
% 202.05/201.94 [102]~E(x1021,x1022)+E(f254(x1023,x1024,x1021,x1025),f254(x1023,x1024,x1022,x1025))
% 202.05/201.94 [103]~E(x1031,x1032)+E(f254(x1033,x1034,x1035,x1031),f254(x1033,x1034,x1035,x1032))
% 202.05/201.94 [104]~E(x1041,x1042)+E(f75(x1041),f75(x1042))
% 202.05/201.94 [105]~E(x1051,x1052)+E(f38(x1051,x1053),f38(x1052,x1053))
% 202.05/201.94 [106]~E(x1061,x1062)+E(f38(x1063,x1061),f38(x1063,x1062))
% 202.05/201.94 [107]~E(x1071,x1072)+E(f113(x1071),f113(x1072))
% 202.05/201.94 [108]~E(x1081,x1082)+E(f306(x1081,x1083),f306(x1082,x1083))
% 202.05/201.94 [109]~E(x1091,x1092)+E(f306(x1093,x1091),f306(x1093,x1092))
% 202.05/201.94 [110]~E(x1101,x1102)+E(f516(x1101,x1103,x1104,x1105),f516(x1102,x1103,x1104,x1105))
% 202.05/201.94 [111]~E(x1111,x1112)+E(f516(x1113,x1111,x1114,x1115),f516(x1113,x1112,x1114,x1115))
% 202.05/201.94 [112]~E(x1121,x1122)+E(f516(x1123,x1124,x1121,x1125),f516(x1123,x1124,x1122,x1125))
% 202.05/201.94 [113]~E(x1131,x1132)+E(f516(x1133,x1134,x1135,x1131),f516(x1133,x1134,x1135,x1132))
% 202.05/201.94 [114]~E(x1141,x1142)+E(f257(x1141,x1143,x1144,x1145,x1146,x1147),f257(x1142,x1143,x1144,x1145,x1146,x1147))
% 202.05/201.94 [115]~E(x1151,x1152)+E(f257(x1153,x1151,x1154,x1155,x1156,x1157),f257(x1153,x1152,x1154,x1155,x1156,x1157))
% 202.05/201.94 [116]~E(x1161,x1162)+E(f257(x1163,x1164,x1161,x1165,x1166,x1167),f257(x1163,x1164,x1162,x1165,x1166,x1167))
% 202.05/201.94 [117]~E(x1171,x1172)+E(f257(x1173,x1174,x1175,x1171,x1176,x1177),f257(x1173,x1174,x1175,x1172,x1176,x1177))
% 202.05/201.94 [118]~E(x1181,x1182)+E(f257(x1183,x1184,x1185,x1186,x1181,x1187),f257(x1183,x1184,x1185,x1186,x1182,x1187))
% 202.05/201.94 [119]~E(x1191,x1192)+E(f257(x1193,x1194,x1195,x1196,x1197,x1191),f257(x1193,x1194,x1195,x1196,x1197,x1192))
% 202.05/201.94 [120]~E(x1201,x1202)+E(f251(x1201,x1203),f251(x1202,x1203))
% 202.05/201.94 [121]~E(x1211,x1212)+E(f251(x1213,x1211),f251(x1213,x1212))
% 202.05/201.94 [122]~E(x1221,x1222)+E(f161(x1221,x1223),f161(x1222,x1223))
% 202.05/201.94 [123]~E(x1231,x1232)+E(f161(x1233,x1231),f161(x1233,x1232))
% 202.05/201.94 [124]~E(x1241,x1242)+E(f13(x1241,x1243),f13(x1242,x1243))
% 202.05/201.94 [125]~E(x1251,x1252)+E(f13(x1253,x1251),f13(x1253,x1252))
% 202.05/201.94 [126]~E(x1261,x1262)+E(f7(x1261),f7(x1262))
% 202.05/201.94 [127]~E(x1271,x1272)+E(f394(x1271,x1273,x1274),f394(x1272,x1273,x1274))
% 202.05/201.94 [128]~E(x1281,x1282)+E(f394(x1283,x1281,x1284),f394(x1283,x1282,x1284))
% 202.05/201.94 [129]~E(x1291,x1292)+E(f394(x1293,x1294,x1291),f394(x1293,x1294,x1292))
% 202.05/201.94 [130]~E(x1301,x1302)+E(f288(x1301,x1303,x1304),f288(x1302,x1303,x1304))
% 202.05/201.94 [131]~E(x1311,x1312)+E(f288(x1313,x1311,x1314),f288(x1313,x1312,x1314))
% 202.05/201.94 [132]~E(x1321,x1322)+E(f288(x1323,x1324,x1321),f288(x1323,x1324,x1322))
% 202.05/201.94 [133]~E(x1331,x1332)+E(f34(x1331),f34(x1332))
% 202.05/201.94 [134]~E(x1341,x1342)+E(f164(x1341),f164(x1342))
% 202.05/201.94 [135]~E(x1351,x1352)+E(f286(x1351),f286(x1352))
% 202.05/201.94 [136]~E(x1361,x1362)+E(f783(x1361,x1363,x1364,x1365),f783(x1362,x1363,x1364,x1365))
% 202.05/201.94 [137]~E(x1371,x1372)+E(f783(x1373,x1371,x1374,x1375),f783(x1373,x1372,x1374,x1375))
% 202.05/201.94 [138]~E(x1381,x1382)+E(f783(x1383,x1384,x1381,x1385),f783(x1383,x1384,x1382,x1385))
% 202.05/201.94 [139]~E(x1391,x1392)+E(f783(x1393,x1394,x1395,x1391),f783(x1393,x1394,x1395,x1392))
% 202.05/201.94 [140]~E(x1401,x1402)+E(f857(x1401,x1403,x1404),f857(x1402,x1403,x1404))
% 202.05/201.94 [141]~E(x1411,x1412)+E(f857(x1413,x1411,x1414),f857(x1413,x1412,x1414))
% 202.05/201.94 [142]~E(x1421,x1422)+E(f857(x1423,x1424,x1421),f857(x1423,x1424,x1422))
% 202.05/201.94 [143]~E(x1431,x1432)+E(f151(x1431),f151(x1432))
% 202.05/201.94 [144]~E(x1441,x1442)+E(f105(x1441),f105(x1442))
% 202.05/201.94 [145]~E(x1451,x1452)+E(f107(x1451),f107(x1452))
% 202.05/201.94 [146]~E(x1461,x1462)+E(f327(x1461),f327(x1462))
% 202.05/201.94 [147]~E(x1471,x1472)+E(f893(x1471,x1473,x1474,x1475),f893(x1472,x1473,x1474,x1475))
% 202.05/201.94 [148]~E(x1481,x1482)+E(f893(x1483,x1481,x1484,x1485),f893(x1483,x1482,x1484,x1485))
% 202.05/201.94 [149]~E(x1491,x1492)+E(f893(x1493,x1494,x1491,x1495),f893(x1493,x1494,x1492,x1495))
% 202.05/201.94 [150]~E(x1501,x1502)+E(f893(x1503,x1504,x1505,x1501),f893(x1503,x1504,x1505,x1502))
% 202.05/201.94 [151]~E(x1511,x1512)+E(f567(x1511),f567(x1512))
% 202.05/201.94 [152]~E(x1521,x1522)+E(f243(x1521),f243(x1522))
% 202.05/201.94 [153]~E(x1531,x1532)+E(f36(x1531,x1533),f36(x1532,x1533))
% 202.05/201.94 [154]~E(x1541,x1542)+E(f36(x1543,x1541),f36(x1543,x1542))
% 202.05/201.94 [155]~E(x1551,x1552)+E(f240(x1551,x1553),f240(x1552,x1553))
% 202.05/201.94 [156]~E(x1561,x1562)+E(f240(x1563,x1561),f240(x1563,x1562))
% 202.05/201.94 [157]~E(x1571,x1572)+E(f854(x1571,x1573,x1574),f854(x1572,x1573,x1574))
% 202.05/201.94 [158]~E(x1581,x1582)+E(f854(x1583,x1581,x1584),f854(x1583,x1582,x1584))
% 202.05/201.94 [159]~E(x1591,x1592)+E(f854(x1593,x1594,x1591),f854(x1593,x1594,x1592))
% 202.05/201.94 [160]~E(x1601,x1602)+E(f302(x1601,x1603,x1604),f302(x1602,x1603,x1604))
% 202.05/201.94 [161]~E(x1611,x1612)+E(f302(x1613,x1611,x1614),f302(x1613,x1612,x1614))
% 202.05/201.94 [162]~E(x1621,x1622)+E(f302(x1623,x1624,x1621),f302(x1623,x1624,x1622))
% 202.05/201.94 [163]~E(x1631,x1632)+E(f253(x1631,x1633),f253(x1632,x1633))
% 202.05/201.94 [164]~E(x1641,x1642)+E(f253(x1643,x1641),f253(x1643,x1642))
% 202.05/201.94 [165]~E(x1651,x1652)+E(f178(x1651,x1653),f178(x1652,x1653))
% 202.05/201.94 [166]~E(x1661,x1662)+E(f178(x1663,x1661),f178(x1663,x1662))
% 202.05/201.94 [167]~E(x1671,x1672)+E(f769(x1671,x1673,x1674,x1675),f769(x1672,x1673,x1674,x1675))
% 202.05/201.94 [168]~E(x1681,x1682)+E(f769(x1683,x1681,x1684,x1685),f769(x1683,x1682,x1684,x1685))
% 202.05/201.94 [169]~E(x1691,x1692)+E(f769(x1693,x1694,x1691,x1695),f769(x1693,x1694,x1692,x1695))
% 202.05/201.94 [170]~E(x1701,x1702)+E(f769(x1703,x1704,x1705,x1701),f769(x1703,x1704,x1705,x1702))
% 202.05/201.94 [171]~E(x1711,x1712)+E(f168(x1711),f168(x1712))
% 202.05/201.94 [172]~E(x1721,x1722)+E(f90(x1721,x1723,x1724,x1725),f90(x1722,x1723,x1724,x1725))
% 202.05/201.94 [173]~E(x1731,x1732)+E(f90(x1733,x1731,x1734,x1735),f90(x1733,x1732,x1734,x1735))
% 202.05/201.94 [174]~E(x1741,x1742)+E(f90(x1743,x1744,x1741,x1745),f90(x1743,x1744,x1742,x1745))
% 202.05/201.94 [175]~E(x1751,x1752)+E(f90(x1753,x1754,x1755,x1751),f90(x1753,x1754,x1755,x1752))
% 202.05/201.94 [176]~E(x1761,x1762)+E(f309(x1761,x1763,x1764),f309(x1762,x1763,x1764))
% 202.05/201.94 [177]~E(x1771,x1772)+E(f309(x1773,x1771,x1774),f309(x1773,x1772,x1774))
% 202.05/201.94 [178]~E(x1781,x1782)+E(f309(x1783,x1784,x1781),f309(x1783,x1784,x1782))
% 202.05/201.94 [179]~E(x1791,x1792)+E(f720(x1791,x1793),f720(x1792,x1793))
% 202.05/201.94 [180]~E(x1801,x1802)+E(f720(x1803,x1801),f720(x1803,x1802))
% 202.05/201.94 [181]~E(x1811,x1812)+E(f27(x1811,x1813,x1814),f27(x1812,x1813,x1814))
% 202.05/201.94 [182]~E(x1821,x1822)+E(f27(x1823,x1821,x1824),f27(x1823,x1822,x1824))
% 202.05/201.94 [183]~E(x1831,x1832)+E(f27(x1833,x1834,x1831),f27(x1833,x1834,x1832))
% 202.05/201.94 [184]~E(x1841,x1842)+E(f403(x1841,x1843,x1844),f403(x1842,x1843,x1844))
% 202.05/201.94 [185]~E(x1851,x1852)+E(f403(x1853,x1851,x1854),f403(x1853,x1852,x1854))
% 202.05/201.94 [186]~E(x1861,x1862)+E(f403(x1863,x1864,x1861),f403(x1863,x1864,x1862))
% 202.05/201.94 [187]~E(x1871,x1872)+E(f914(x1871,x1873),f914(x1872,x1873))
% 202.05/201.94 [188]~E(x1881,x1882)+E(f914(x1883,x1881),f914(x1883,x1882))
% 202.05/201.94 [189]~E(x1891,x1892)+E(f49(x1891,x1893),f49(x1892,x1893))
% 202.05/201.94 [190]~E(x1901,x1902)+E(f49(x1903,x1901),f49(x1903,x1902))
% 202.05/201.94 [191]~E(x1911,x1912)+E(f310(x1911,x1913,x1914),f310(x1912,x1913,x1914))
% 202.05/201.94 [192]~E(x1921,x1922)+E(f310(x1923,x1921,x1924),f310(x1923,x1922,x1924))
% 202.05/201.94 [193]~E(x1931,x1932)+E(f310(x1933,x1934,x1931),f310(x1933,x1934,x1932))
% 202.05/201.94 [194]~E(x1941,x1942)+E(f63(x1941,x1943,x1944),f63(x1942,x1943,x1944))
% 202.05/201.94 [195]~E(x1951,x1952)+E(f63(x1953,x1951,x1954),f63(x1953,x1952,x1954))
% 202.05/201.94 [196]~E(x1961,x1962)+E(f63(x1963,x1964,x1961),f63(x1963,x1964,x1962))
% 202.05/201.94 [197]~E(x1971,x1972)+E(f72(x1971,x1973,x1974,x1975),f72(x1972,x1973,x1974,x1975))
% 202.05/201.94 [198]~E(x1981,x1982)+E(f72(x1983,x1981,x1984,x1985),f72(x1983,x1982,x1984,x1985))
% 202.05/201.94 [199]~E(x1991,x1992)+E(f72(x1993,x1994,x1991,x1995),f72(x1993,x1994,x1992,x1995))
% 202.05/201.94 [200]~E(x2001,x2002)+E(f72(x2003,x2004,x2005,x2001),f72(x2003,x2004,x2005,x2002))
% 202.05/201.94 [201]~E(x2011,x2012)+E(f250(x2011,x2013),f250(x2012,x2013))
% 202.05/201.94 [202]~E(x2021,x2022)+E(f250(x2023,x2021),f250(x2023,x2022))
% 202.05/201.94 [203]~E(x2031,x2032)+E(f848(x2031,x2033,x2034),f848(x2032,x2033,x2034))
% 202.05/201.94 [204]~E(x2041,x2042)+E(f848(x2043,x2041,x2044),f848(x2043,x2042,x2044))
% 202.05/201.94 [205]~E(x2051,x2052)+E(f848(x2053,x2054,x2051),f848(x2053,x2054,x2052))
% 202.05/201.94 [206]~E(x2061,x2062)+E(f126(x2061,x2063,x2064),f126(x2062,x2063,x2064))
% 202.05/201.94 [207]~E(x2071,x2072)+E(f126(x2073,x2071,x2074),f126(x2073,x2072,x2074))
% 202.05/201.94 [208]~E(x2081,x2082)+E(f126(x2083,x2084,x2081),f126(x2083,x2084,x2082))
% 202.05/201.94 [209]~E(x2091,x2092)+E(f255(x2091,x2093),f255(x2092,x2093))
% 202.05/201.94 [210]~E(x2101,x2102)+E(f255(x2103,x2101),f255(x2103,x2102))
% 202.05/201.94 [211]~E(x2111,x2112)+E(f795(x2111),f795(x2112))
% 202.05/201.94 [212]~E(x2121,x2122)+E(f18(x2121,x2123),f18(x2122,x2123))
% 202.05/201.94 [213]~E(x2131,x2132)+E(f18(x2133,x2131),f18(x2133,x2132))
% 202.05/201.94 [214]~E(x2141,x2142)+E(f154(x2141,x2143),f154(x2142,x2143))
% 202.05/201.94 [215]~E(x2151,x2152)+E(f154(x2153,x2151),f154(x2153,x2152))
% 202.05/201.94 [216]~E(x2161,x2162)+E(f128(x2161,x2163),f128(x2162,x2163))
% 202.05/201.94 [217]~E(x2171,x2172)+E(f128(x2173,x2171),f128(x2173,x2172))
% 202.05/201.94 [218]~E(x2181,x2182)+E(f139(x2181,x2183),f139(x2182,x2183))
% 202.05/201.94 [219]~E(x2191,x2192)+E(f139(x2193,x2191),f139(x2193,x2192))
% 202.05/201.94 [220]~E(x2201,x2202)+E(f318(x2201,x2203,x2204,x2205),f318(x2202,x2203,x2204,x2205))
% 202.05/201.94 [221]~E(x2211,x2212)+E(f318(x2213,x2211,x2214,x2215),f318(x2213,x2212,x2214,x2215))
% 202.05/201.94 [222]~E(x2221,x2222)+E(f318(x2223,x2224,x2221,x2225),f318(x2223,x2224,x2222,x2225))
% 202.05/201.94 [223]~E(x2231,x2232)+E(f318(x2233,x2234,x2235,x2231),f318(x2233,x2234,x2235,x2232))
% 202.05/201.94 [224]~E(x2241,x2242)+E(f595(x2241,x2243,x2244,x2245,x2246,x2247,x2248,x2249),f595(x2242,x2243,x2244,x2245,x2246,x2247,x2248,x2249))
% 202.05/201.94 [225]~E(x2251,x2252)+E(f595(x2253,x2251,x2254,x2255,x2256,x2257,x2258,x2259),f595(x2253,x2252,x2254,x2255,x2256,x2257,x2258,x2259))
% 202.05/201.94 [226]~E(x2261,x2262)+E(f595(x2263,x2264,x2261,x2265,x2266,x2267,x2268,x2269),f595(x2263,x2264,x2262,x2265,x2266,x2267,x2268,x2269))
% 202.05/201.94 [227]~E(x2271,x2272)+E(f595(x2273,x2274,x2275,x2271,x2276,x2277,x2278,x2279),f595(x2273,x2274,x2275,x2272,x2276,x2277,x2278,x2279))
% 202.05/201.94 [228]~E(x2281,x2282)+E(f595(x2283,x2284,x2285,x2286,x2281,x2287,x2288,x2289),f595(x2283,x2284,x2285,x2286,x2282,x2287,x2288,x2289))
% 202.05/201.94 [229]~E(x2291,x2292)+E(f595(x2293,x2294,x2295,x2296,x2297,x2291,x2298,x2299),f595(x2293,x2294,x2295,x2296,x2297,x2292,x2298,x2299))
% 202.05/201.94 [230]~E(x2301,x2302)+E(f595(x2303,x2304,x2305,x2306,x2307,x2308,x2301,x2309),f595(x2303,x2304,x2305,x2306,x2307,x2308,x2302,x2309))
% 202.05/201.94 [231]~E(x2311,x2312)+E(f595(x2313,x2314,x2315,x2316,x2317,x2318,x2319,x2311),f595(x2313,x2314,x2315,x2316,x2317,x2318,x2319,x2312))
% 202.05/201.94 [232]~E(x2321,x2322)+E(f799(x2321,x2323,x2324),f799(x2322,x2323,x2324))
% 202.05/201.94 [233]~E(x2331,x2332)+E(f799(x2333,x2331,x2334),f799(x2333,x2332,x2334))
% 202.05/201.94 [234]~E(x2341,x2342)+E(f799(x2343,x2344,x2341),f799(x2343,x2344,x2342))
% 202.05/201.94 [235]~E(x2351,x2352)+E(f160(x2351,x2353),f160(x2352,x2353))
% 202.05/201.94 [236]~E(x2361,x2362)+E(f160(x2363,x2361),f160(x2363,x2362))
% 202.05/201.94 [237]~E(x2371,x2372)+E(f142(x2371,x2373,x2374,x2375),f142(x2372,x2373,x2374,x2375))
% 202.05/201.94 [238]~E(x2381,x2382)+E(f142(x2383,x2381,x2384,x2385),f142(x2383,x2382,x2384,x2385))
% 202.05/201.94 [239]~E(x2391,x2392)+E(f142(x2393,x2394,x2391,x2395),f142(x2393,x2394,x2392,x2395))
% 202.05/201.94 [240]~E(x2401,x2402)+E(f142(x2403,x2404,x2405,x2401),f142(x2403,x2404,x2405,x2402))
% 202.05/201.94 [241]~E(x2411,x2412)+E(f314(x2411,x2413),f314(x2412,x2413))
% 202.05/201.94 [242]~E(x2421,x2422)+E(f314(x2423,x2421),f314(x2423,x2422))
% 202.05/201.94 [243]~E(x2431,x2432)+E(f155(x2431,x2433,x2434),f155(x2432,x2433,x2434))
% 202.05/201.94 [244]~E(x2441,x2442)+E(f155(x2443,x2441,x2444),f155(x2443,x2442,x2444))
% 202.05/201.94 [245]~E(x2451,x2452)+E(f155(x2453,x2454,x2451),f155(x2453,x2454,x2452))
% 202.05/201.94 [246]~E(x2461,x2462)+E(f116(x2461,x2463,x2464),f116(x2462,x2463,x2464))
% 202.05/201.94 [247]~E(x2471,x2472)+E(f116(x2473,x2471,x2474),f116(x2473,x2472,x2474))
% 202.05/201.94 [248]~E(x2481,x2482)+E(f116(x2483,x2484,x2481),f116(x2483,x2484,x2482))
% 202.05/201.94 [249]~E(x2491,x2492)+E(f267(x2491,x2493),f267(x2492,x2493))
% 202.05/201.94 [250]~E(x2501,x2502)+E(f267(x2503,x2501),f267(x2503,x2502))
% 202.05/201.94 [251]~E(x2511,x2512)+E(f287(x2511,x2513),f287(x2512,x2513))
% 202.05/201.94 [252]~E(x2521,x2522)+E(f287(x2523,x2521),f287(x2523,x2522))
% 202.05/201.94 [253]~E(x2531,x2532)+E(f630(x2531,x2533),f630(x2532,x2533))
% 202.05/201.94 [254]~E(x2541,x2542)+E(f630(x2543,x2541),f630(x2543,x2542))
% 202.05/201.94 [255]~E(x2551,x2552)+E(f137(x2551),f137(x2552))
% 202.05/201.94 [256]~E(x2561,x2562)+E(f152(x2561,x2563),f152(x2562,x2563))
% 202.05/201.94 [257]~E(x2571,x2572)+E(f152(x2573,x2571),f152(x2573,x2572))
% 202.05/201.94 [258]~E(x2581,x2582)+E(f459(x2581,x2583,x2584,x2585,x2586),f459(x2582,x2583,x2584,x2585,x2586))
% 202.05/201.94 [259]~E(x2591,x2592)+E(f459(x2593,x2591,x2594,x2595,x2596),f459(x2593,x2592,x2594,x2595,x2596))
% 202.05/201.94 [260]~E(x2601,x2602)+E(f459(x2603,x2604,x2601,x2605,x2606),f459(x2603,x2604,x2602,x2605,x2606))
% 202.05/201.94 [261]~E(x2611,x2612)+E(f459(x2613,x2614,x2615,x2611,x2616),f459(x2613,x2614,x2615,x2612,x2616))
% 202.05/201.94 [262]~E(x2621,x2622)+E(f459(x2623,x2624,x2625,x2626,x2621),f459(x2623,x2624,x2625,x2626,x2622))
% 202.05/201.94 [263]~E(x2631,x2632)+E(f813(x2631,x2633,x2634,x2635,x2636,x2637),f813(x2632,x2633,x2634,x2635,x2636,x2637))
% 202.05/201.94 [264]~E(x2641,x2642)+E(f813(x2643,x2641,x2644,x2645,x2646,x2647),f813(x2643,x2642,x2644,x2645,x2646,x2647))
% 202.05/201.94 [265]~E(x2651,x2652)+E(f813(x2653,x2654,x2651,x2655,x2656,x2657),f813(x2653,x2654,x2652,x2655,x2656,x2657))
% 202.05/201.94 [266]~E(x2661,x2662)+E(f813(x2663,x2664,x2665,x2661,x2666,x2667),f813(x2663,x2664,x2665,x2662,x2666,x2667))
% 202.05/201.94 [267]~E(x2671,x2672)+E(f813(x2673,x2674,x2675,x2676,x2671,x2677),f813(x2673,x2674,x2675,x2676,x2672,x2677))
% 202.05/201.94 [268]~E(x2681,x2682)+E(f813(x2683,x2684,x2685,x2686,x2687,x2681),f813(x2683,x2684,x2685,x2686,x2687,x2682))
% 202.05/201.94 [269]~E(x2691,x2692)+E(f136(x2691,x2693),f136(x2692,x2693))
% 202.05/201.94 [270]~E(x2701,x2702)+E(f136(x2703,x2701),f136(x2703,x2702))
% 202.05/201.94 [271]~E(x2711,x2712)+E(f114(x2711,x2713),f114(x2712,x2713))
% 202.05/201.94 [272]~E(x2721,x2722)+E(f114(x2723,x2721),f114(x2723,x2722))
% 202.05/201.94 [273]~E(x2731,x2732)+E(f281(x2731),f281(x2732))
% 202.05/201.94 [274]~E(x2741,x2742)+E(f138(x2741),f138(x2742))
% 202.05/201.94 [275]~E(x2751,x2752)+E(f256(x2751,x2753,x2754),f256(x2752,x2753,x2754))
% 202.05/201.94 [276]~E(x2761,x2762)+E(f256(x2763,x2761,x2764),f256(x2763,x2762,x2764))
% 202.05/201.94 [277]~E(x2771,x2772)+E(f256(x2773,x2774,x2771),f256(x2773,x2774,x2772))
% 202.05/201.94 [278]~E(x2781,x2782)+E(f460(x2781,x2783,x2784,x2785,x2786),f460(x2782,x2783,x2784,x2785,x2786))
% 202.05/201.94 [279]~E(x2791,x2792)+E(f460(x2793,x2791,x2794,x2795,x2796),f460(x2793,x2792,x2794,x2795,x2796))
% 202.05/201.94 [280]~E(x2801,x2802)+E(f460(x2803,x2804,x2801,x2805,x2806),f460(x2803,x2804,x2802,x2805,x2806))
% 202.05/201.94 [281]~E(x2811,x2812)+E(f460(x2813,x2814,x2815,x2811,x2816),f460(x2813,x2814,x2815,x2812,x2816))
% 202.05/201.94 [282]~E(x2821,x2822)+E(f460(x2823,x2824,x2825,x2826,x2821),f460(x2823,x2824,x2825,x2826,x2822))
% 202.05/201.94 [283]~E(x2831,x2832)+E(f191(x2831),f191(x2832))
% 202.05/201.94 [284]~E(x2841,x2842)+E(f623(x2841,x2843,x2844,x2845,x2846),f623(x2842,x2843,x2844,x2845,x2846))
% 202.05/201.94 [285]~E(x2851,x2852)+E(f623(x2853,x2851,x2854,x2855,x2856),f623(x2853,x2852,x2854,x2855,x2856))
% 202.05/201.94 [286]~E(x2861,x2862)+E(f623(x2863,x2864,x2861,x2865,x2866),f623(x2863,x2864,x2862,x2865,x2866))
% 202.05/201.94 [287]~E(x2871,x2872)+E(f623(x2873,x2874,x2875,x2871,x2876),f623(x2873,x2874,x2875,x2872,x2876))
% 202.05/201.94 [288]~E(x2881,x2882)+E(f623(x2883,x2884,x2885,x2886,x2881),f623(x2883,x2884,x2885,x2886,x2882))
% 202.05/201.94 [289]~E(x2891,x2892)+E(f115(x2891),f115(x2892))
% 202.05/201.94 [290]~E(x2901,x2902)+E(f62(x2901,x2903),f62(x2902,x2903))
% 202.05/201.94 [291]~E(x2911,x2912)+E(f62(x2913,x2911),f62(x2913,x2912))
% 202.05/201.94 [292]~E(x2921,x2922)+E(f913(x2921,x2923),f913(x2922,x2923))
% 202.05/201.94 [293]~E(x2931,x2932)+E(f913(x2933,x2931),f913(x2933,x2932))
% 202.05/201.94 [294]~E(x2941,x2942)+E(f711(x2941,x2943,x2944),f711(x2942,x2943,x2944))
% 202.05/201.94 [295]~E(x2951,x2952)+E(f711(x2953,x2951,x2954),f711(x2953,x2952,x2954))
% 202.05/201.94 [296]~E(x2961,x2962)+E(f711(x2963,x2964,x2961),f711(x2963,x2964,x2962))
% 202.05/201.94 [297]~E(x2971,x2972)+E(f167(x2971),f167(x2972))
% 202.05/201.94 [298]~E(x2981,x2982)+E(f651(x2981,x2983,x2984),f651(x2982,x2983,x2984))
% 202.05/201.94 [299]~E(x2991,x2992)+E(f651(x2993,x2991,x2994),f651(x2993,x2992,x2994))
% 202.05/201.94 [300]~E(x3001,x3002)+E(f651(x3003,x3004,x3001),f651(x3003,x3004,x3002))
% 202.05/201.94 [301]~E(x3011,x3012)+E(f760(x3011,x3013,x3014),f760(x3012,x3013,x3014))
% 202.05/201.94 [302]~E(x3021,x3022)+E(f760(x3023,x3021,x3024),f760(x3023,x3022,x3024))
% 202.05/201.94 [303]~E(x3031,x3032)+E(f760(x3033,x3034,x3031),f760(x3033,x3034,x3032))
% 202.05/201.94 [304]~E(x3041,x3042)+E(f252(x3041,x3043,x3044,x3045,x3046),f252(x3042,x3043,x3044,x3045,x3046))
% 202.05/201.94 [305]~E(x3051,x3052)+E(f252(x3053,x3051,x3054,x3055,x3056),f252(x3053,x3052,x3054,x3055,x3056))
% 202.05/201.94 [306]~E(x3061,x3062)+E(f252(x3063,x3064,x3061,x3065,x3066),f252(x3063,x3064,x3062,x3065,x3066))
% 202.05/201.94 [307]~E(x3071,x3072)+E(f252(x3073,x3074,x3075,x3071,x3076),f252(x3073,x3074,x3075,x3072,x3076))
% 202.05/201.94 [308]~E(x3081,x3082)+E(f252(x3083,x3084,x3085,x3086,x3081),f252(x3083,x3084,x3085,x3086,x3082))
% 202.05/201.94 [309]~E(x3091,x3092)+E(f171(x3091),f171(x3092))
% 202.05/201.94 [310]~E(x3101,x3102)+E(f42(x3101),f42(x3102))
% 202.05/201.94 [311]~E(x3111,x3112)+E(f440(x3111,x3113,x3114,x3115),f440(x3112,x3113,x3114,x3115))
% 202.05/201.94 [312]~E(x3121,x3122)+E(f440(x3123,x3121,x3124,x3125),f440(x3123,x3122,x3124,x3125))
% 202.05/201.94 [313]~E(x3131,x3132)+E(f440(x3133,x3134,x3131,x3135),f440(x3133,x3134,x3132,x3135))
% 202.05/201.94 [314]~E(x3141,x3142)+E(f440(x3143,x3144,x3145,x3141),f440(x3143,x3144,x3145,x3142))
% 202.05/201.94 [315]~E(x3151,x3152)+E(f514(x3151,x3153,x3154),f514(x3152,x3153,x3154))
% 202.05/201.94 [316]~E(x3161,x3162)+E(f514(x3163,x3161,x3164),f514(x3163,x3162,x3164))
% 202.05/201.94 [317]~E(x3171,x3172)+E(f514(x3173,x3174,x3171),f514(x3173,x3174,x3172))
% 202.05/201.94 [318]~E(x3181,x3182)+E(f95(x3181,x3183,x3184,x3185),f95(x3182,x3183,x3184,x3185))
% 202.05/201.94 [319]~E(x3191,x3192)+E(f95(x3193,x3191,x3194,x3195),f95(x3193,x3192,x3194,x3195))
% 202.05/201.94 [320]~E(x3201,x3202)+E(f95(x3203,x3204,x3201,x3205),f95(x3203,x3204,x3202,x3205))
% 202.05/201.94 [321]~E(x3211,x3212)+E(f95(x3213,x3214,x3215,x3211),f95(x3213,x3214,x3215,x3212))
% 202.05/201.94 [322]~E(x3221,x3222)+E(f690(x3221,x3223,x3224,x3225),f690(x3222,x3223,x3224,x3225))
% 202.05/201.94 [323]~E(x3231,x3232)+E(f690(x3233,x3231,x3234,x3235),f690(x3233,x3232,x3234,x3235))
% 202.05/201.94 [324]~E(x3241,x3242)+E(f690(x3243,x3244,x3241,x3245),f690(x3243,x3244,x3242,x3245))
% 202.05/201.94 [325]~E(x3251,x3252)+E(f690(x3253,x3254,x3255,x3251),f690(x3253,x3254,x3255,x3252))
% 202.05/201.94 [326]~E(x3261,x3262)+E(f14(x3261,x3263,x3264),f14(x3262,x3263,x3264))
% 202.05/201.94 [327]~E(x3271,x3272)+E(f14(x3273,x3271,x3274),f14(x3273,x3272,x3274))
% 202.05/201.94 [328]~E(x3281,x3282)+E(f14(x3283,x3284,x3281),f14(x3283,x3284,x3282))
% 202.05/201.94 [329]~E(x3291,x3292)+E(f889(x3291,x3293,x3294),f889(x3292,x3293,x3294))
% 202.05/201.94 [330]~E(x3301,x3302)+E(f889(x3303,x3301,x3304),f889(x3303,x3302,x3304))
% 202.05/201.94 [331]~E(x3311,x3312)+E(f889(x3313,x3314,x3311),f889(x3313,x3314,x3312))
% 202.05/201.94 [332]~E(x3321,x3322)+E(f385(x3321,x3323,x3324),f385(x3322,x3323,x3324))
% 202.05/201.94 [333]~E(x3331,x3332)+E(f385(x3333,x3331,x3334),f385(x3333,x3332,x3334))
% 202.05/201.94 [334]~E(x3341,x3342)+E(f385(x3343,x3344,x3341),f385(x3343,x3344,x3342))
% 202.05/201.94 [335]~E(x3351,x3352)+E(f181(x3351,x3353),f181(x3352,x3353))
% 202.05/201.94 [336]~E(x3361,x3362)+E(f181(x3363,x3361),f181(x3363,x3362))
% 202.05/201.94 [337]~E(x3371,x3372)+E(f660(x3371,x3373,x3374),f660(x3372,x3373,x3374))
% 202.05/201.94 [338]~E(x3381,x3382)+E(f660(x3383,x3381,x3384),f660(x3383,x3382,x3384))
% 202.05/201.94 [339]~E(x3391,x3392)+E(f660(x3393,x3394,x3391),f660(x3393,x3394,x3392))
% 202.05/201.94 [340]~E(x3401,x3402)+E(f141(x3401),f141(x3402))
% 202.05/201.94 [341]~E(x3411,x3412)+E(f304(x3411,x3413,x3414),f304(x3412,x3413,x3414))
% 202.05/201.94 [342]~E(x3421,x3422)+E(f304(x3423,x3421,x3424),f304(x3423,x3422,x3424))
% 202.05/201.94 [343]~E(x3431,x3432)+E(f304(x3433,x3434,x3431),f304(x3433,x3434,x3432))
% 202.05/201.94 [344]~E(x3441,x3442)+E(f317(x3441,x3443),f317(x3442,x3443))
% 202.05/201.94 [345]~E(x3451,x3452)+E(f317(x3453,x3451),f317(x3453,x3452))
% 202.05/201.94 [346]~E(x3461,x3462)+E(f855(x3461,x3463,x3464),f855(x3462,x3463,x3464))
% 202.05/201.94 [347]~E(x3471,x3472)+E(f855(x3473,x3471,x3474),f855(x3473,x3472,x3474))
% 202.05/201.94 [348]~E(x3481,x3482)+E(f855(x3483,x3484,x3481),f855(x3483,x3484,x3482))
% 202.05/201.94 [349]~E(x3491,x3492)+E(f319(x3491,x3493),f319(x3492,x3493))
% 202.05/201.94 [350]~E(x3501,x3502)+E(f319(x3503,x3501),f319(x3503,x3502))
% 202.05/201.94 [351]~E(x3511,x3512)+E(f417(x3511,x3513),f417(x3512,x3513))
% 202.05/201.94 [352]~E(x3521,x3522)+E(f417(x3523,x3521),f417(x3523,x3522))
% 202.05/201.94 [353]~E(x3531,x3532)+E(f282(x3531),f282(x3532))
% 202.05/201.94 [354]~E(x3541,x3542)+E(f386(x3541,x3543,x3544),f386(x3542,x3543,x3544))
% 202.05/201.94 [355]~E(x3551,x3552)+E(f386(x3553,x3551,x3554),f386(x3553,x3552,x3554))
% 202.05/201.94 [356]~E(x3561,x3562)+E(f386(x3563,x3564,x3561),f386(x3563,x3564,x3562))
% 202.05/201.94 [357]~E(x3571,x3572)+E(f242(x3571,x3573,x3574),f242(x3572,x3573,x3574))
% 202.05/201.94 [358]~E(x3581,x3582)+E(f242(x3583,x3581,x3584),f242(x3583,x3582,x3584))
% 202.05/201.94 [359]~E(x3591,x3592)+E(f242(x3593,x3594,x3591),f242(x3593,x3594,x3592))
% 202.05/201.94 [360]~E(x3601,x3602)+E(f280(x3601),f280(x3602))
% 202.05/201.94 [361]~E(x3611,x3612)+E(f608(x3611,x3613,x3614,x3615,x3616,x3617,x3618),f608(x3612,x3613,x3614,x3615,x3616,x3617,x3618))
% 202.05/201.94 [362]~E(x3621,x3622)+E(f608(x3623,x3621,x3624,x3625,x3626,x3627,x3628),f608(x3623,x3622,x3624,x3625,x3626,x3627,x3628))
% 202.05/201.94 [363]~E(x3631,x3632)+E(f608(x3633,x3634,x3631,x3635,x3636,x3637,x3638),f608(x3633,x3634,x3632,x3635,x3636,x3637,x3638))
% 202.05/201.94 [364]~E(x3641,x3642)+E(f608(x3643,x3644,x3645,x3641,x3646,x3647,x3648),f608(x3643,x3644,x3645,x3642,x3646,x3647,x3648))
% 202.05/201.94 [365]~E(x3651,x3652)+E(f608(x3653,x3654,x3655,x3656,x3651,x3657,x3658),f608(x3653,x3654,x3655,x3656,x3652,x3657,x3658))
% 202.05/201.94 [366]~E(x3661,x3662)+E(f608(x3663,x3664,x3665,x3666,x3667,x3661,x3668),f608(x3663,x3664,x3665,x3666,x3667,x3662,x3668))
% 202.05/201.94 [367]~E(x3671,x3672)+E(f608(x3673,x3674,x3675,x3676,x3677,x3678,x3671),f608(x3673,x3674,x3675,x3676,x3677,x3678,x3672))
% 202.05/201.94 [368]~E(x3681,x3682)+E(f300(x3681),f300(x3682))
% 202.05/201.94 [369]~E(x3691,x3692)+E(f158(x3691,x3693),f158(x3692,x3693))
% 202.05/201.94 [370]~E(x3701,x3702)+E(f158(x3703,x3701),f158(x3703,x3702))
% 202.05/201.94 [371]~E(x3711,x3712)+E(f64(x3711,x3713,x3714),f64(x3712,x3713,x3714))
% 202.05/201.94 [372]~E(x3721,x3722)+E(f64(x3723,x3721,x3724),f64(x3723,x3722,x3724))
% 202.05/201.94 [373]~E(x3731,x3732)+E(f64(x3733,x3734,x3731),f64(x3733,x3734,x3732))
% 202.05/201.94 [374]~E(x3741,x3742)+E(f381(x3741,x3743,x3744,x3745,x3746,x3747,x3748),f381(x3742,x3743,x3744,x3745,x3746,x3747,x3748))
% 202.05/201.94 [375]~E(x3751,x3752)+E(f381(x3753,x3751,x3754,x3755,x3756,x3757,x3758),f381(x3753,x3752,x3754,x3755,x3756,x3757,x3758))
% 202.05/201.94 [376]~E(x3761,x3762)+E(f381(x3763,x3764,x3761,x3765,x3766,x3767,x3768),f381(x3763,x3764,x3762,x3765,x3766,x3767,x3768))
% 202.05/201.94 [377]~E(x3771,x3772)+E(f381(x3773,x3774,x3775,x3771,x3776,x3777,x3778),f381(x3773,x3774,x3775,x3772,x3776,x3777,x3778))
% 202.05/201.94 [378]~E(x3781,x3782)+E(f381(x3783,x3784,x3785,x3786,x3781,x3787,x3788),f381(x3783,x3784,x3785,x3786,x3782,x3787,x3788))
% 202.05/201.94 [379]~E(x3791,x3792)+E(f381(x3793,x3794,x3795,x3796,x3797,x3791,x3798),f381(x3793,x3794,x3795,x3796,x3797,x3792,x3798))
% 202.05/201.94 [380]~E(x3801,x3802)+E(f381(x3803,x3804,x3805,x3806,x3807,x3808,x3801),f381(x3803,x3804,x3805,x3806,x3807,x3808,x3802))
% 202.05/201.94 [381]~E(x3811,x3812)+E(f170(x3811,x3813,x3814),f170(x3812,x3813,x3814))
% 202.05/201.94 [382]~E(x3821,x3822)+E(f170(x3823,x3821,x3824),f170(x3823,x3822,x3824))
% 202.05/201.94 [383]~E(x3831,x3832)+E(f170(x3833,x3834,x3831),f170(x3833,x3834,x3832))
% 202.05/201.94 [384]~E(x3841,x3842)+E(f307(x3841),f307(x3842))
% 202.05/201.94 [385]~E(x3851,x3852)+E(f165(x3851),f165(x3852))
% 202.05/201.94 [386]~E(x3861,x3862)+E(f11(x3861,x3863),f11(x3862,x3863))
% 202.05/201.94 [387]~E(x3871,x3872)+E(f11(x3873,x3871),f11(x3873,x3872))
% 202.05/201.94 [388]~E(x3881,x3882)+E(f119(x3881),f119(x3882))
% 202.05/201.94 [389]~E(x3891,x3892)+E(f120(x3891,x3893),f120(x3892,x3893))
% 202.05/201.94 [390]~E(x3901,x3902)+E(f120(x3903,x3901),f120(x3903,x3902))
% 202.05/201.94 [391]~E(x3911,x3912)+E(f91(x3911,x3913,x3914,x3915),f91(x3912,x3913,x3914,x3915))
% 202.05/201.94 [392]~E(x3921,x3922)+E(f91(x3923,x3921,x3924,x3925),f91(x3923,x3922,x3924,x3925))
% 202.05/201.94 [393]~E(x3931,x3932)+E(f91(x3933,x3934,x3931,x3935),f91(x3933,x3934,x3932,x3935))
% 202.05/201.94 [394]~E(x3941,x3942)+E(f91(x3943,x3944,x3945,x3941),f91(x3943,x3944,x3945,x3942))
% 202.05/201.94 [395]~E(x3951,x3952)+E(f16(x3951,x3953),f16(x3952,x3953))
% 202.05/201.94 [396]~E(x3961,x3962)+E(f16(x3963,x3961),f16(x3963,x3962))
% 202.05/201.94 [397]~E(x3971,x3972)+E(f174(x3971,x3973,x3974),f174(x3972,x3973,x3974))
% 202.05/201.94 [398]~E(x3981,x3982)+E(f174(x3983,x3981,x3984),f174(x3983,x3982,x3984))
% 202.05/201.94 [399]~E(x3991,x3992)+E(f174(x3993,x3994,x3991),f174(x3993,x3994,x3992))
% 202.05/201.94 [400]~E(x4001,x4002)+E(f532(x4001,x4003,x4004,x4005),f532(x4002,x4003,x4004,x4005))
% 202.05/201.94 [401]~E(x4011,x4012)+E(f532(x4013,x4011,x4014,x4015),f532(x4013,x4012,x4014,x4015))
% 202.05/201.94 [402]~E(x4021,x4022)+E(f532(x4023,x4024,x4021,x4025),f532(x4023,x4024,x4022,x4025))
% 202.05/201.94 [403]~E(x4031,x4032)+E(f532(x4033,x4034,x4035,x4031),f532(x4033,x4034,x4035,x4032))
% 202.05/201.94 [404]~E(x4041,x4042)+E(f84(x4041,x4043),f84(x4042,x4043))
% 202.05/201.94 [405]~E(x4051,x4052)+E(f84(x4053,x4051),f84(x4053,x4052))
% 202.05/201.94 [406]~E(x4061,x4062)+E(f153(x4061,x4063),f153(x4062,x4063))
% 202.05/201.94 [407]~E(x4071,x4072)+E(f153(x4073,x4071),f153(x4073,x4072))
% 202.05/201.94 [408]~E(x4081,x4082)+E(f89(x4081,x4083),f89(x4082,x4083))
% 202.05/201.94 [409]~E(x4091,x4092)+E(f89(x4093,x4091),f89(x4093,x4092))
% 202.05/201.94 [410]~E(x4101,x4102)+E(f148(x4101,x4103,x4104),f148(x4102,x4103,x4104))
% 202.05/201.94 [411]~E(x4111,x4112)+E(f148(x4113,x4111,x4114),f148(x4113,x4112,x4114))
% 202.05/201.94 [412]~E(x4121,x4122)+E(f148(x4123,x4124,x4121),f148(x4123,x4124,x4122))
% 202.05/201.94 [413]~E(x4131,x4132)+E(f46(x4131,x4133),f46(x4132,x4133))
% 202.05/201.94 [414]~E(x4141,x4142)+E(f46(x4143,x4141),f46(x4143,x4142))
% 202.05/201.94 [415]~E(x4151,x4152)+E(f262(x4151,x4153),f262(x4152,x4153))
% 202.05/201.94 [416]~E(x4161,x4162)+E(f262(x4163,x4161),f262(x4163,x4162))
% 202.05/201.94 [417]~E(x4171,x4172)+E(f541(x4171,x4173),f541(x4172,x4173))
% 202.05/201.94 [418]~E(x4181,x4182)+E(f541(x4183,x4181),f541(x4183,x4182))
% 202.05/201.94 [419]~E(x4191,x4192)+E(f26(x4191,x4193,x4194),f26(x4192,x4193,x4194))
% 202.05/201.94 [420]~E(x4201,x4202)+E(f26(x4203,x4201,x4204),f26(x4203,x4202,x4204))
% 202.05/201.94 [421]~E(x4211,x4212)+E(f26(x4213,x4214,x4211),f26(x4213,x4214,x4212))
% 202.05/201.94 [422]~E(x4221,x4222)+E(f247(x4221,x4223),f247(x4222,x4223))
% 202.05/201.94 [423]~E(x4231,x4232)+E(f247(x4233,x4231),f247(x4233,x4232))
% 202.05/201.94 [424]~E(x4241,x4242)+E(f717(x4241,x4243,x4244),f717(x4242,x4243,x4244))
% 202.05/201.94 [425]~E(x4251,x4252)+E(f717(x4253,x4251,x4254),f717(x4253,x4252,x4254))
% 202.05/201.94 [426]~E(x4261,x4262)+E(f717(x4263,x4264,x4261),f717(x4263,x4264,x4262))
% 202.05/201.94 [427]~E(x4271,x4272)+E(f67(x4271,x4273,x4274),f67(x4272,x4273,x4274))
% 202.05/201.94 [428]~E(x4281,x4282)+E(f67(x4283,x4281,x4284),f67(x4283,x4282,x4284))
% 202.05/201.94 [429]~E(x4291,x4292)+E(f67(x4293,x4294,x4291),f67(x4293,x4294,x4292))
% 202.05/201.94 [430]~E(x4301,x4302)+E(f176(x4301,x4303,x4304),f176(x4302,x4303,x4304))
% 202.05/201.94 [431]~E(x4311,x4312)+E(f176(x4313,x4311,x4314),f176(x4313,x4312,x4314))
% 202.05/201.94 [432]~E(x4321,x4322)+E(f176(x4323,x4324,x4321),f176(x4323,x4324,x4322))
% 202.05/201.94 [433]~E(x4331,x4332)+E(f45(x4331,x4333),f45(x4332,x4333))
% 202.05/201.94 [434]~E(x4341,x4342)+E(f45(x4343,x4341),f45(x4343,x4342))
% 202.05/201.94 [435]~E(x4351,x4352)+E(f15(x4351,x4353,x4354),f15(x4352,x4353,x4354))
% 202.05/201.94 [436]~E(x4361,x4362)+E(f15(x4363,x4361,x4364),f15(x4363,x4362,x4364))
% 202.05/201.94 [437]~E(x4371,x4372)+E(f15(x4373,x4374,x4371),f15(x4373,x4374,x4372))
% 202.05/201.94 [438]~E(x4381,x4382)+E(f144(x4381,x4383),f144(x4382,x4383))
% 202.05/201.94 [439]~E(x4391,x4392)+E(f144(x4393,x4391),f144(x4393,x4392))
% 202.05/201.94 [440]~E(x4401,x4402)+E(f678(x4401,x4403,x4404,x4405,x4406),f678(x4402,x4403,x4404,x4405,x4406))
% 202.05/201.94 [441]~E(x4411,x4412)+E(f678(x4413,x4411,x4414,x4415,x4416),f678(x4413,x4412,x4414,x4415,x4416))
% 202.05/201.94 [442]~E(x4421,x4422)+E(f678(x4423,x4424,x4421,x4425,x4426),f678(x4423,x4424,x4422,x4425,x4426))
% 202.05/201.94 [443]~E(x4431,x4432)+E(f678(x4433,x4434,x4435,x4431,x4436),f678(x4433,x4434,x4435,x4432,x4436))
% 202.05/201.94 [444]~E(x4441,x4442)+E(f678(x4443,x4444,x4445,x4446,x4441),f678(x4443,x4444,x4445,x4446,x4442))
% 202.05/201.94 [445]~E(x4451,x4452)+E(f668(x4451,x4453,x4454),f668(x4452,x4453,x4454))
% 202.05/201.94 [446]~E(x4461,x4462)+E(f668(x4463,x4461,x4464),f668(x4463,x4462,x4464))
% 202.05/201.94 [447]~E(x4471,x4472)+E(f668(x4473,x4474,x4471),f668(x4473,x4474,x4472))
% 202.05/201.94 [448]~E(x4481,x4482)+E(f774(x4481,x4483,x4484,x4485,x4486,x4487,x4488),f774(x4482,x4483,x4484,x4485,x4486,x4487,x4488))
% 202.05/201.94 [449]~E(x4491,x4492)+E(f774(x4493,x4491,x4494,x4495,x4496,x4497,x4498),f774(x4493,x4492,x4494,x4495,x4496,x4497,x4498))
% 202.05/201.94 [450]~E(x4501,x4502)+E(f774(x4503,x4504,x4501,x4505,x4506,x4507,x4508),f774(x4503,x4504,x4502,x4505,x4506,x4507,x4508))
% 202.05/201.94 [451]~E(x4511,x4512)+E(f774(x4513,x4514,x4515,x4511,x4516,x4517,x4518),f774(x4513,x4514,x4515,x4512,x4516,x4517,x4518))
% 202.05/201.94 [452]~E(x4521,x4522)+E(f774(x4523,x4524,x4525,x4526,x4521,x4527,x4528),f774(x4523,x4524,x4525,x4526,x4522,x4527,x4528))
% 202.05/201.94 [453]~E(x4531,x4532)+E(f774(x4533,x4534,x4535,x4536,x4537,x4531,x4538),f774(x4533,x4534,x4535,x4536,x4537,x4532,x4538))
% 202.05/201.94 [454]~E(x4541,x4542)+E(f774(x4543,x4544,x4545,x4546,x4547,x4548,x4541),f774(x4543,x4544,x4545,x4546,x4547,x4548,x4542))
% 202.05/201.94 [455]~E(x4551,x4552)+E(f147(x4551,x4553),f147(x4552,x4553))
% 202.05/201.94 [456]~E(x4561,x4562)+E(f147(x4563,x4561),f147(x4563,x4562))
% 202.05/201.94 [457]~E(x4571,x4572)+E(f890(x4571,x4573,x4574),f890(x4572,x4573,x4574))
% 202.05/201.94 [458]~E(x4581,x4582)+E(f890(x4583,x4581,x4584),f890(x4583,x4582,x4584))
% 202.05/201.94 [459]~E(x4591,x4592)+E(f890(x4593,x4594,x4591),f890(x4593,x4594,x4592))
% 202.05/201.94 [460]~E(x4601,x4602)+E(f92(x4601,x4603,x4604),f92(x4602,x4603,x4604))
% 202.05/201.94 [461]~E(x4611,x4612)+E(f92(x4613,x4611,x4614),f92(x4613,x4612,x4614))
% 202.05/201.94 [462]~E(x4621,x4622)+E(f92(x4623,x4624,x4621),f92(x4623,x4624,x4622))
% 202.05/201.94 [463]~E(x4631,x4632)+E(f610(x4631,x4633,x4634),f610(x4632,x4633,x4634))
% 202.05/201.94 [464]~E(x4641,x4642)+E(f610(x4643,x4641,x4644),f610(x4643,x4642,x4644))
% 202.05/201.94 [465]~E(x4651,x4652)+E(f610(x4653,x4654,x4651),f610(x4653,x4654,x4652))
% 202.05/201.94 [466]~E(x4661,x4662)+E(f212(x4661),f212(x4662))
% 202.05/201.94 [467]~E(x4671,x4672)+E(f617(x4671,x4673,x4674,x4675,x4676),f617(x4672,x4673,x4674,x4675,x4676))
% 202.05/201.94 [468]~E(x4681,x4682)+E(f617(x4683,x4681,x4684,x4685,x4686),f617(x4683,x4682,x4684,x4685,x4686))
% 202.05/201.94 [469]~E(x4691,x4692)+E(f617(x4693,x4694,x4691,x4695,x4696),f617(x4693,x4694,x4692,x4695,x4696))
% 202.05/201.94 [470]~E(x4701,x4702)+E(f617(x4703,x4704,x4705,x4701,x4706),f617(x4703,x4704,x4705,x4702,x4706))
% 202.05/201.94 [471]~E(x4711,x4712)+E(f617(x4713,x4714,x4715,x4716,x4711),f617(x4713,x4714,x4715,x4716,x4712))
% 202.05/201.94 [472]~E(x4721,x4722)+E(f639(x4721,x4723,x4724,x4725,x4726,x4727),f639(x4722,x4723,x4724,x4725,x4726,x4727))
% 202.05/201.94 [473]~E(x4731,x4732)+E(f639(x4733,x4731,x4734,x4735,x4736,x4737),f639(x4733,x4732,x4734,x4735,x4736,x4737))
% 202.05/201.94 [474]~E(x4741,x4742)+E(f639(x4743,x4744,x4741,x4745,x4746,x4747),f639(x4743,x4744,x4742,x4745,x4746,x4747))
% 202.05/201.94 [475]~E(x4751,x4752)+E(f639(x4753,x4754,x4755,x4751,x4756,x4757),f639(x4753,x4754,x4755,x4752,x4756,x4757))
% 202.05/201.94 [476]~E(x4761,x4762)+E(f639(x4763,x4764,x4765,x4766,x4761,x4767),f639(x4763,x4764,x4765,x4766,x4762,x4767))
% 202.05/201.94 [477]~E(x4771,x4772)+E(f639(x4773,x4774,x4775,x4776,x4777,x4771),f639(x4773,x4774,x4775,x4776,x4777,x4772))
% 202.05/201.94 [478]~E(x4781,x4782)+E(f183(x4781,x4783),f183(x4782,x4783))
% 202.05/201.94 [479]~E(x4791,x4792)+E(f183(x4793,x4791),f183(x4793,x4792))
% 202.05/201.94 [480]~E(x4801,x4802)+E(f464(x4801,x4803,x4804,x4805,x4806,x4807,x4808),f464(x4802,x4803,x4804,x4805,x4806,x4807,x4808))
% 202.05/201.94 [481]~E(x4811,x4812)+E(f464(x4813,x4811,x4814,x4815,x4816,x4817,x4818),f464(x4813,x4812,x4814,x4815,x4816,x4817,x4818))
% 202.05/201.94 [482]~E(x4821,x4822)+E(f464(x4823,x4824,x4821,x4825,x4826,x4827,x4828),f464(x4823,x4824,x4822,x4825,x4826,x4827,x4828))
% 202.05/201.94 [483]~E(x4831,x4832)+E(f464(x4833,x4834,x4835,x4831,x4836,x4837,x4838),f464(x4833,x4834,x4835,x4832,x4836,x4837,x4838))
% 202.05/201.94 [484]~E(x4841,x4842)+E(f464(x4843,x4844,x4845,x4846,x4841,x4847,x4848),f464(x4843,x4844,x4845,x4846,x4842,x4847,x4848))
% 202.05/201.94 [485]~E(x4851,x4852)+E(f464(x4853,x4854,x4855,x4856,x4857,x4851,x4858),f464(x4853,x4854,x4855,x4856,x4857,x4852,x4858))
% 202.05/201.94 [486]~E(x4861,x4862)+E(f464(x4863,x4864,x4865,x4866,x4867,x4868,x4861),f464(x4863,x4864,x4865,x4866,x4867,x4868,x4862))
% 202.05/201.94 [487]~E(x4871,x4872)+E(f303(x4871),f303(x4872))
% 202.05/201.94 [488]~E(x4881,x4882)+E(f87(x4881),f87(x4882))
% 202.05/201.94 [489]~E(x4891,x4892)+E(f826(x4891,x4893,x4894,x4895,x4896,x4897,x4898,x4899),f826(x4892,x4893,x4894,x4895,x4896,x4897,x4898,x4899))
% 202.05/201.94 [490]~E(x4901,x4902)+E(f826(x4903,x4901,x4904,x4905,x4906,x4907,x4908,x4909),f826(x4903,x4902,x4904,x4905,x4906,x4907,x4908,x4909))
% 202.05/201.94 [491]~E(x4911,x4912)+E(f826(x4913,x4914,x4911,x4915,x4916,x4917,x4918,x4919),f826(x4913,x4914,x4912,x4915,x4916,x4917,x4918,x4919))
% 202.05/201.94 [492]~E(x4921,x4922)+E(f826(x4923,x4924,x4925,x4921,x4926,x4927,x4928,x4929),f826(x4923,x4924,x4925,x4922,x4926,x4927,x4928,x4929))
% 202.05/201.94 [493]~E(x4931,x4932)+E(f826(x4933,x4934,x4935,x4936,x4931,x4937,x4938,x4939),f826(x4933,x4934,x4935,x4936,x4932,x4937,x4938,x4939))
% 202.05/201.94 [494]~E(x4941,x4942)+E(f826(x4943,x4944,x4945,x4946,x4947,x4941,x4948,x4949),f826(x4943,x4944,x4945,x4946,x4947,x4942,x4948,x4949))
% 202.05/201.94 [495]~E(x4951,x4952)+E(f826(x4953,x4954,x4955,x4956,x4957,x4958,x4951,x4959),f826(x4953,x4954,x4955,x4956,x4957,x4958,x4952,x4959))
% 202.05/201.94 [496]~E(x4961,x4962)+E(f826(x4963,x4964,x4965,x4966,x4967,x4968,x4969,x4961),f826(x4963,x4964,x4965,x4966,x4967,x4968,x4969,x4962))
% 202.05/201.94 [497]~E(x4971,x4972)+E(f179(x4971,x4973),f179(x4972,x4973))
% 202.05/201.94 [498]~E(x4981,x4982)+E(f179(x4983,x4981),f179(x4983,x4982))
% 202.05/201.94 [499]~E(x4991,x4992)+E(f402(x4991,x4993),f402(x4992,x4993))
% 202.05/201.94 [500]~E(x5001,x5002)+E(f402(x5003,x5001),f402(x5003,x5002))
% 202.05/201.94 [501]~E(x5011,x5012)+E(f143(x5011,x5013),f143(x5012,x5013))
% 202.05/201.94 [502]~E(x5021,x5022)+E(f143(x5023,x5021),f143(x5023,x5022))
% 202.05/201.94 [503]~E(x5031,x5032)+E(f712(x5031,x5033,x5034,x5035),f712(x5032,x5033,x5034,x5035))
% 202.05/201.94 [504]~E(x5041,x5042)+E(f712(x5043,x5041,x5044,x5045),f712(x5043,x5042,x5044,x5045))
% 202.05/201.94 [505]~E(x5051,x5052)+E(f712(x5053,x5054,x5051,x5055),f712(x5053,x5054,x5052,x5055))
% 202.05/201.94 [506]~E(x5061,x5062)+E(f712(x5063,x5064,x5065,x5061),f712(x5063,x5064,x5065,x5062))
% 202.05/201.94 [507]~E(x5071,x5072)+E(f313(x5071),f313(x5072))
% 202.05/201.94 [508]~E(x5081,x5082)+E(f849(x5081,x5083,x5084),f849(x5082,x5083,x5084))
% 202.05/201.94 [509]~E(x5091,x5092)+E(f849(x5093,x5091,x5094),f849(x5093,x5092,x5094))
% 202.05/201.94 [510]~E(x5101,x5102)+E(f849(x5103,x5104,x5101),f849(x5103,x5104,x5102))
% 202.05/201.94 [511]~E(x5111,x5112)+E(f74(x5111,x5113,x5114,x5115,x5116),f74(x5112,x5113,x5114,x5115,x5116))
% 202.05/201.94 [512]~E(x5121,x5122)+E(f74(x5123,x5121,x5124,x5125,x5126),f74(x5123,x5122,x5124,x5125,x5126))
% 202.05/201.94 [513]~E(x5131,x5132)+E(f74(x5133,x5134,x5131,x5135,x5136),f74(x5133,x5134,x5132,x5135,x5136))
% 202.05/201.94 [514]~E(x5141,x5142)+E(f74(x5143,x5144,x5145,x5141,x5146),f74(x5143,x5144,x5145,x5142,x5146))
% 202.05/201.94 [515]~E(x5151,x5152)+E(f74(x5153,x5154,x5155,x5156,x5151),f74(x5153,x5154,x5155,x5156,x5152))
% 202.05/201.94 [516]~E(x5161,x5162)+E(f502(x5161,x5163,x5164,x5165,x5166),f502(x5162,x5163,x5164,x5165,x5166))
% 202.05/201.94 [517]~E(x5171,x5172)+E(f502(x5173,x5171,x5174,x5175,x5176),f502(x5173,x5172,x5174,x5175,x5176))
% 202.05/201.94 [518]~E(x5181,x5182)+E(f502(x5183,x5184,x5181,x5185,x5186),f502(x5183,x5184,x5182,x5185,x5186))
% 202.05/201.94 [519]~E(x5191,x5192)+E(f502(x5193,x5194,x5195,x5191,x5196),f502(x5193,x5194,x5195,x5192,x5196))
% 202.05/201.94 [520]~E(x5201,x5202)+E(f502(x5203,x5204,x5205,x5206,x5201),f502(x5203,x5204,x5205,x5206,x5202))
% 202.05/201.94 [521]~E(x5211,x5212)+E(f283(x5211,x5213),f283(x5212,x5213))
% 202.05/201.94 [522]~E(x5221,x5222)+E(f283(x5223,x5221),f283(x5223,x5222))
% 202.05/201.94 [523]~E(x5231,x5232)+E(f670(x5231,x5233,x5234,x5235,x5236),f670(x5232,x5233,x5234,x5235,x5236))
% 202.05/201.94 [524]~E(x5241,x5242)+E(f670(x5243,x5241,x5244,x5245,x5246),f670(x5243,x5242,x5244,x5245,x5246))
% 202.05/201.94 [525]~E(x5251,x5252)+E(f670(x5253,x5254,x5251,x5255,x5256),f670(x5253,x5254,x5252,x5255,x5256))
% 202.05/201.94 [526]~E(x5261,x5262)+E(f670(x5263,x5264,x5265,x5261,x5266),f670(x5263,x5264,x5265,x5262,x5266))
% 202.05/201.94 [527]~E(x5271,x5272)+E(f670(x5273,x5274,x5275,x5276,x5271),f670(x5273,x5274,x5275,x5276,x5272))
% 202.05/201.94 [528]~E(x5281,x5282)+E(f37(x5281,x5283),f37(x5282,x5283))
% 202.05/201.94 [529]~E(x5291,x5292)+E(f37(x5293,x5291),f37(x5293,x5292))
% 202.05/201.94 [530]~E(x5301,x5302)+E(f377(x5301,x5303,x5304),f377(x5302,x5303,x5304))
% 202.05/201.94 [531]~E(x5311,x5312)+E(f377(x5313,x5311,x5314),f377(x5313,x5312,x5314))
% 202.05/201.94 [532]~E(x5321,x5322)+E(f377(x5323,x5324,x5321),f377(x5323,x5324,x5322))
% 202.05/201.94 [533]~E(x5331,x5332)+E(f773(x5331,x5333,x5334,x5335,x5336,x5337,x5338),f773(x5332,x5333,x5334,x5335,x5336,x5337,x5338))
% 202.05/201.94 [534]~E(x5341,x5342)+E(f773(x5343,x5341,x5344,x5345,x5346,x5347,x5348),f773(x5343,x5342,x5344,x5345,x5346,x5347,x5348))
% 202.05/201.94 [535]~E(x5351,x5352)+E(f773(x5353,x5354,x5351,x5355,x5356,x5357,x5358),f773(x5353,x5354,x5352,x5355,x5356,x5357,x5358))
% 202.05/201.94 [536]~E(x5361,x5362)+E(f773(x5363,x5364,x5365,x5361,x5366,x5367,x5368),f773(x5363,x5364,x5365,x5362,x5366,x5367,x5368))
% 202.05/201.94 [537]~E(x5371,x5372)+E(f773(x5373,x5374,x5375,x5376,x5371,x5377,x5378),f773(x5373,x5374,x5375,x5376,x5372,x5377,x5378))
% 202.05/201.94 [538]~E(x5381,x5382)+E(f773(x5383,x5384,x5385,x5386,x5387,x5381,x5388),f773(x5383,x5384,x5385,x5386,x5387,x5382,x5388))
% 202.05/201.94 [539]~E(x5391,x5392)+E(f773(x5393,x5394,x5395,x5396,x5397,x5398,x5391),f773(x5393,x5394,x5395,x5396,x5397,x5398,x5392))
% 202.05/201.94 [540]~E(x5401,x5402)+E(f577(x5401,x5403,x5404,x5405,x5406,x5407),f577(x5402,x5403,x5404,x5405,x5406,x5407))
% 202.05/201.94 [541]~E(x5411,x5412)+E(f577(x5413,x5411,x5414,x5415,x5416,x5417),f577(x5413,x5412,x5414,x5415,x5416,x5417))
% 202.05/201.94 [542]~E(x5421,x5422)+E(f577(x5423,x5424,x5421,x5425,x5426,x5427),f577(x5423,x5424,x5422,x5425,x5426,x5427))
% 202.05/201.94 [543]~E(x5431,x5432)+E(f577(x5433,x5434,x5435,x5431,x5436,x5437),f577(x5433,x5434,x5435,x5432,x5436,x5437))
% 202.05/201.94 [544]~E(x5441,x5442)+E(f577(x5443,x5444,x5445,x5446,x5441,x5447),f577(x5443,x5444,x5445,x5446,x5442,x5447))
% 202.05/201.94 [545]~E(x5451,x5452)+E(f577(x5453,x5454,x5455,x5456,x5457,x5451),f577(x5453,x5454,x5455,x5456,x5457,x5452))
% 202.05/201.94 [546]~E(x5461,x5462)+E(f715(x5461,x5463),f715(x5462,x5463))
% 202.05/201.94 [547]~E(x5471,x5472)+E(f715(x5473,x5471),f715(x5473,x5472))
% 202.05/201.94 [548]~E(x5481,x5482)+E(f901(x5481,x5483),f901(x5482,x5483))
% 202.05/201.94 [549]~E(x5491,x5492)+E(f901(x5493,x5491),f901(x5493,x5492))
% 202.05/201.94 [550]~E(x5501,x5502)+E(f177(x5501,x5503,x5504),f177(x5502,x5503,x5504))
% 202.05/201.94 [551]~E(x5511,x5512)+E(f177(x5513,x5511,x5514),f177(x5513,x5512,x5514))
% 202.05/201.94 [552]~E(x5521,x5522)+E(f177(x5523,x5524,x5521),f177(x5523,x5524,x5522))
% 202.05/201.94 [553]~E(x5531,x5532)+E(f159(x5531,x5533),f159(x5532,x5533))
% 202.05/201.94 [554]~E(x5541,x5542)+E(f159(x5543,x5541),f159(x5543,x5542))
% 202.05/201.94 [555]~E(x5551,x5552)+E(f246(x5551,x5553,x5554),f246(x5552,x5553,x5554))
% 202.05/201.94 [556]~E(x5561,x5562)+E(f246(x5563,x5561,x5564),f246(x5563,x5562,x5564))
% 202.05/201.94 [557]~E(x5571,x5572)+E(f246(x5573,x5574,x5571),f246(x5573,x5574,x5572))
% 202.05/201.94 [558]~E(x5581,x5582)+E(f850(x5581,x5583,x5584),f850(x5582,x5583,x5584))
% 202.05/201.94 [559]~E(x5591,x5592)+E(f850(x5593,x5591,x5594),f850(x5593,x5592,x5594))
% 202.05/201.94 [560]~E(x5601,x5602)+E(f850(x5603,x5604,x5601),f850(x5603,x5604,x5602))
% 202.05/201.94 [561]~E(x5611,x5612)+E(f490(x5611,x5613,x5614),f490(x5612,x5613,x5614))
% 202.05/201.94 [562]~E(x5621,x5622)+E(f490(x5623,x5621,x5624),f490(x5623,x5622,x5624))
% 202.05/201.94 [563]~E(x5631,x5632)+E(f490(x5633,x5634,x5631),f490(x5633,x5634,x5632))
% 202.05/201.94 [564]~E(x5641,x5642)+E(f388(x5641,x5643,x5644),f388(x5642,x5643,x5644))
% 202.05/201.94 [565]~E(x5651,x5652)+E(f388(x5653,x5651,x5654),f388(x5653,x5652,x5654))
% 202.05/201.94 [566]~E(x5661,x5662)+E(f388(x5663,x5664,x5661),f388(x5663,x5664,x5662))
% 202.05/201.94 [567]~E(x5671,x5672)+E(f85(x5671,x5673),f85(x5672,x5673))
% 202.05/201.94 [568]~E(x5681,x5682)+E(f85(x5683,x5681),f85(x5683,x5682))
% 202.05/201.94 [569]~E(x5691,x5692)+E(f696(x5691,x5693),f696(x5692,x5693))
% 202.05/201.94 [570]~E(x5701,x5702)+E(f696(x5703,x5701),f696(x5703,x5702))
% 202.05/201.94 [571]~E(x5711,x5712)+E(f404(x5711,x5713,x5714,x5715,x5716),f404(x5712,x5713,x5714,x5715,x5716))
% 202.05/201.94 [572]~E(x5721,x5722)+E(f404(x5723,x5721,x5724,x5725,x5726),f404(x5723,x5722,x5724,x5725,x5726))
% 202.05/201.94 [573]~E(x5731,x5732)+E(f404(x5733,x5734,x5731,x5735,x5736),f404(x5733,x5734,x5732,x5735,x5736))
% 202.05/201.94 [574]~E(x5741,x5742)+E(f404(x5743,x5744,x5745,x5741,x5746),f404(x5743,x5744,x5745,x5742,x5746))
% 202.05/201.94 [575]~E(x5751,x5752)+E(f404(x5753,x5754,x5755,x5756,x5751),f404(x5753,x5754,x5755,x5756,x5752))
% 202.05/201.94 [576]~E(x5761,x5762)+E(f422(x5761,x5763,x5764,x5765,x5766,x5767,x5768),f422(x5762,x5763,x5764,x5765,x5766,x5767,x5768))
% 202.05/201.94 [577]~E(x5771,x5772)+E(f422(x5773,x5771,x5774,x5775,x5776,x5777,x5778),f422(x5773,x5772,x5774,x5775,x5776,x5777,x5778))
% 202.05/201.94 [578]~E(x5781,x5782)+E(f422(x5783,x5784,x5781,x5785,x5786,x5787,x5788),f422(x5783,x5784,x5782,x5785,x5786,x5787,x5788))
% 202.05/201.94 [579]~E(x5791,x5792)+E(f422(x5793,x5794,x5795,x5791,x5796,x5797,x5798),f422(x5793,x5794,x5795,x5792,x5796,x5797,x5798))
% 202.05/201.94 [580]~E(x5801,x5802)+E(f422(x5803,x5804,x5805,x5806,x5801,x5807,x5808),f422(x5803,x5804,x5805,x5806,x5802,x5807,x5808))
% 202.05/201.94 [581]~E(x5811,x5812)+E(f422(x5813,x5814,x5815,x5816,x5817,x5811,x5818),f422(x5813,x5814,x5815,x5816,x5817,x5812,x5818))
% 202.05/201.94 [582]~E(x5821,x5822)+E(f422(x5823,x5824,x5825,x5826,x5827,x5828,x5821),f422(x5823,x5824,x5825,x5826,x5827,x5828,x5822))
% 202.05/201.94 [583]~E(x5831,x5832)+E(f17(x5831,x5833),f17(x5832,x5833))
% 202.05/201.94 [584]~E(x5841,x5842)+E(f17(x5843,x5841),f17(x5843,x5842))
% 202.05/201.94 [585]~E(x5851,x5852)+E(f274(x5851,x5853),f274(x5852,x5853))
% 202.05/201.94 [586]~E(x5861,x5862)+E(f274(x5863,x5861),f274(x5863,x5862))
% 202.05/201.94 [587]~E(x5871,x5872)+E(f96(x5871),f96(x5872))
% 202.05/201.94 [588]~E(x5881,x5882)+E(f449(x5881,x5883,x5884,x5885),f449(x5882,x5883,x5884,x5885))
% 202.05/201.94 [589]~E(x5891,x5892)+E(f449(x5893,x5891,x5894,x5895),f449(x5893,x5892,x5894,x5895))
% 202.05/201.94 [590]~E(x5901,x5902)+E(f449(x5903,x5904,x5901,x5905),f449(x5903,x5904,x5902,x5905))
% 202.05/201.94 [591]~E(x5911,x5912)+E(f449(x5913,x5914,x5915,x5911),f449(x5913,x5914,x5915,x5912))
% 202.05/201.94 [592]~E(x5921,x5922)+E(f539(x5921,x5923,x5924,x5925,x5926,x5927),f539(x5922,x5923,x5924,x5925,x5926,x5927))
% 202.05/201.94 [593]~E(x5931,x5932)+E(f539(x5933,x5931,x5934,x5935,x5936,x5937),f539(x5933,x5932,x5934,x5935,x5936,x5937))
% 202.05/201.94 [594]~E(x5941,x5942)+E(f539(x5943,x5944,x5941,x5945,x5946,x5947),f539(x5943,x5944,x5942,x5945,x5946,x5947))
% 202.05/201.94 [595]~E(x5951,x5952)+E(f539(x5953,x5954,x5955,x5951,x5956,x5957),f539(x5953,x5954,x5955,x5952,x5956,x5957))
% 202.05/201.94 [596]~E(x5961,x5962)+E(f539(x5963,x5964,x5965,x5966,x5961,x5967),f539(x5963,x5964,x5965,x5966,x5962,x5967))
% 202.05/201.94 [597]~E(x5971,x5972)+E(f539(x5973,x5974,x5975,x5976,x5977,x5971),f539(x5973,x5974,x5975,x5976,x5977,x5972))
% 202.05/201.94 [598]~E(x5981,x5982)+E(f65(x5981,x5983,x5984,x5985,x5986),f65(x5982,x5983,x5984,x5985,x5986))
% 202.05/201.94 [599]~E(x5991,x5992)+E(f65(x5993,x5991,x5994,x5995,x5996),f65(x5993,x5992,x5994,x5995,x5996))
% 202.05/201.94 [600]~E(x6001,x6002)+E(f65(x6003,x6004,x6001,x6005,x6006),f65(x6003,x6004,x6002,x6005,x6006))
% 202.05/201.94 [601]~E(x6011,x6012)+E(f65(x6013,x6014,x6015,x6011,x6016),f65(x6013,x6014,x6015,x6012,x6016))
% 202.05/201.94 [602]~E(x6021,x6022)+E(f65(x6023,x6024,x6025,x6026,x6021),f65(x6023,x6024,x6025,x6026,x6022))
% 202.05/201.94 [603]~E(x6031,x6032)+E(f125(x6031,x6033),f125(x6032,x6033))
% 202.05/201.94 [604]~E(x6041,x6042)+E(f125(x6043,x6041),f125(x6043,x6042))
% 202.05/201.94 [605]~E(x6051,x6052)+E(f649(x6051,x6053,x6054,x6055),f649(x6052,x6053,x6054,x6055))
% 202.05/201.94 [606]~E(x6061,x6062)+E(f649(x6063,x6061,x6064,x6065),f649(x6063,x6062,x6064,x6065))
% 202.05/201.94 [607]~E(x6071,x6072)+E(f649(x6073,x6074,x6071,x6075),f649(x6073,x6074,x6072,x6075))
% 202.05/201.94 [608]~E(x6081,x6082)+E(f649(x6083,x6084,x6085,x6081),f649(x6083,x6084,x6085,x6082))
% 202.05/201.94 [609]~E(x6091,x6092)+E(f675(x6091,x6093,x6094,x6095),f675(x6092,x6093,x6094,x6095))
% 202.05/201.94 [610]~E(x6101,x6102)+E(f675(x6103,x6101,x6104,x6105),f675(x6103,x6102,x6104,x6105))
% 202.05/201.94 [611]~E(x6111,x6112)+E(f675(x6113,x6114,x6111,x6115),f675(x6113,x6114,x6112,x6115))
% 202.05/201.94 [612]~E(x6121,x6122)+E(f675(x6123,x6124,x6125,x6121),f675(x6123,x6124,x6125,x6122))
% 202.05/201.94 [613]~E(x6131,x6132)+E(f785(x6131,x6133,x6134,x6135,x6136),f785(x6132,x6133,x6134,x6135,x6136))
% 202.05/201.94 [614]~E(x6141,x6142)+E(f785(x6143,x6141,x6144,x6145,x6146),f785(x6143,x6142,x6144,x6145,x6146))
% 202.05/201.94 [615]~E(x6151,x6152)+E(f785(x6153,x6154,x6151,x6155,x6156),f785(x6153,x6154,x6152,x6155,x6156))
% 202.05/201.94 [616]~E(x6161,x6162)+E(f785(x6163,x6164,x6165,x6161,x6166),f785(x6163,x6164,x6165,x6162,x6166))
% 202.05/201.94 [617]~E(x6171,x6172)+E(f785(x6173,x6174,x6175,x6176,x6171),f785(x6173,x6174,x6175,x6176,x6172))
% 202.05/201.94 [618]~E(x6181,x6182)+E(f520(x6181,x6183,x6184,x6185,x6186),f520(x6182,x6183,x6184,x6185,x6186))
% 202.05/201.94 [619]~E(x6191,x6192)+E(f520(x6193,x6191,x6194,x6195,x6196),f520(x6193,x6192,x6194,x6195,x6196))
% 202.05/201.94 [620]~E(x6201,x6202)+E(f520(x6203,x6204,x6201,x6205,x6206),f520(x6203,x6204,x6202,x6205,x6206))
% 202.05/201.94 [621]~E(x6211,x6212)+E(f520(x6213,x6214,x6215,x6211,x6216),f520(x6213,x6214,x6215,x6212,x6216))
% 202.05/201.94 [622]~E(x6221,x6222)+E(f520(x6223,x6224,x6225,x6226,x6221),f520(x6223,x6224,x6225,x6226,x6222))
% 202.05/201.94 [623]~E(x6231,x6232)+E(f169(x6231,x6233,x6234),f169(x6232,x6233,x6234))
% 202.05/201.94 [624]~E(x6241,x6242)+E(f169(x6243,x6241,x6244),f169(x6243,x6242,x6244))
% 202.05/201.94 [625]~E(x6251,x6252)+E(f169(x6253,x6254,x6251),f169(x6253,x6254,x6252))
% 202.05/201.94 [626]~E(x6261,x6262)+E(f885(x6261,x6263,x6264),f885(x6262,x6263,x6264))
% 202.05/201.94 [627]~E(x6271,x6272)+E(f885(x6273,x6271,x6274),f885(x6273,x6272,x6274))
% 202.05/201.94 [628]~E(x6281,x6282)+E(f885(x6283,x6284,x6281),f885(x6283,x6284,x6282))
% 202.05/201.94 [629]~E(x6291,x6292)+E(f505(x6291,x6293,x6294,x6295,x6296,x6297,x6298),f505(x6292,x6293,x6294,x6295,x6296,x6297,x6298))
% 202.05/201.94 [630]~E(x6301,x6302)+E(f505(x6303,x6301,x6304,x6305,x6306,x6307,x6308),f505(x6303,x6302,x6304,x6305,x6306,x6307,x6308))
% 202.05/201.94 [631]~E(x6311,x6312)+E(f505(x6313,x6314,x6311,x6315,x6316,x6317,x6318),f505(x6313,x6314,x6312,x6315,x6316,x6317,x6318))
% 202.05/201.94 [632]~E(x6321,x6322)+E(f505(x6323,x6324,x6325,x6321,x6326,x6327,x6328),f505(x6323,x6324,x6325,x6322,x6326,x6327,x6328))
% 202.05/201.94 [633]~E(x6331,x6332)+E(f505(x6333,x6334,x6335,x6336,x6331,x6337,x6338),f505(x6333,x6334,x6335,x6336,x6332,x6337,x6338))
% 202.05/201.94 [634]~E(x6341,x6342)+E(f505(x6343,x6344,x6345,x6346,x6347,x6341,x6348),f505(x6343,x6344,x6345,x6346,x6347,x6342,x6348))
% 202.05/201.94 [635]~E(x6351,x6352)+E(f505(x6353,x6354,x6355,x6356,x6357,x6358,x6351),f505(x6353,x6354,x6355,x6356,x6357,x6358,x6352))
% 202.05/201.94 [636]~E(x6361,x6362)+E(f478(x6361,x6363,x6364),f478(x6362,x6363,x6364))
% 202.05/201.94 [637]~E(x6371,x6372)+E(f478(x6373,x6371,x6374),f478(x6373,x6372,x6374))
% 202.05/201.94 [638]~E(x6381,x6382)+E(f478(x6383,x6384,x6381),f478(x6383,x6384,x6382))
% 202.05/201.94 [639]~E(x6391,x6392)+E(f263(x6391,x6393),f263(x6392,x6393))
% 202.05/201.94 [640]~E(x6401,x6402)+E(f263(x6403,x6401),f263(x6403,x6402))
% 202.05/201.94 [641]~E(x6411,x6412)+E(f767(x6411,x6413,x6414,x6415),f767(x6412,x6413,x6414,x6415))
% 202.05/201.94 [642]~E(x6421,x6422)+E(f767(x6423,x6421,x6424,x6425),f767(x6423,x6422,x6424,x6425))
% 202.05/201.94 [643]~E(x6431,x6432)+E(f767(x6433,x6434,x6431,x6435),f767(x6433,x6434,x6432,x6435))
% 202.05/201.94 [644]~E(x6441,x6442)+E(f767(x6443,x6444,x6445,x6441),f767(x6443,x6444,x6445,x6442))
% 202.05/201.94 [645]~E(x6451,x6452)+E(f54(x6451,x6453,x6454),f54(x6452,x6453,x6454))
% 202.05/201.94 [646]~E(x6461,x6462)+E(f54(x6463,x6461,x6464),f54(x6463,x6462,x6464))
% 202.05/201.94 [647]~E(x6471,x6472)+E(f54(x6473,x6474,x6471),f54(x6473,x6474,x6472))
% 202.05/201.94 [648]~E(x6481,x6482)+E(f571(x6481,x6483),f571(x6482,x6483))
% 202.05/201.94 [649]~E(x6491,x6492)+E(f571(x6493,x6491),f571(x6493,x6492))
% 202.05/201.94 [650]~E(x6501,x6502)+E(f852(x6501,x6503,x6504),f852(x6502,x6503,x6504))
% 202.05/201.94 [651]~E(x6511,x6512)+E(f852(x6513,x6511,x6514),f852(x6513,x6512,x6514))
% 202.05/201.94 [652]~E(x6521,x6522)+E(f852(x6523,x6524,x6521),f852(x6523,x6524,x6522))
% 202.05/201.94 [653]~E(x6531,x6532)+E(f423(x6531,x6533,x6534),f423(x6532,x6533,x6534))
% 202.05/201.94 [654]~E(x6541,x6542)+E(f423(x6543,x6541,x6544),f423(x6543,x6542,x6544))
% 202.05/201.94 [655]~E(x6551,x6552)+E(f423(x6553,x6554,x6551),f423(x6553,x6554,x6552))
% 202.05/201.94 [656]~E(x6561,x6562)+E(f359(x6561,x6563,x6564),f359(x6562,x6563,x6564))
% 202.05/201.94 [657]~E(x6571,x6572)+E(f359(x6573,x6571,x6574),f359(x6573,x6572,x6574))
% 202.05/201.94 [658]~E(x6581,x6582)+E(f359(x6583,x6584,x6581),f359(x6583,x6584,x6582))
% 202.05/201.94 [659]~E(x6591,x6592)+E(f81(x6591,x6593),f81(x6592,x6593))
% 202.05/201.94 [660]~E(x6601,x6602)+E(f81(x6603,x6601),f81(x6603,x6602))
% 202.05/201.94 [661]~E(x6611,x6612)+E(f836(x6611,x6613,x6614,x6615,x6616,x6617,x6618,x6619),f836(x6612,x6613,x6614,x6615,x6616,x6617,x6618,x6619))
% 202.05/201.94 [662]~E(x6621,x6622)+E(f836(x6623,x6621,x6624,x6625,x6626,x6627,x6628,x6629),f836(x6623,x6622,x6624,x6625,x6626,x6627,x6628,x6629))
% 202.05/201.94 [663]~E(x6631,x6632)+E(f836(x6633,x6634,x6631,x6635,x6636,x6637,x6638,x6639),f836(x6633,x6634,x6632,x6635,x6636,x6637,x6638,x6639))
% 202.05/201.94 [664]~E(x6641,x6642)+E(f836(x6643,x6644,x6645,x6641,x6646,x6647,x6648,x6649),f836(x6643,x6644,x6645,x6642,x6646,x6647,x6648,x6649))
% 202.05/201.94 [665]~E(x6651,x6652)+E(f836(x6653,x6654,x6655,x6656,x6651,x6657,x6658,x6659),f836(x6653,x6654,x6655,x6656,x6652,x6657,x6658,x6659))
% 202.05/201.94 [666]~E(x6661,x6662)+E(f836(x6663,x6664,x6665,x6666,x6667,x6661,x6668,x6669),f836(x6663,x6664,x6665,x6666,x6667,x6662,x6668,x6669))
% 202.05/201.94 [667]~E(x6671,x6672)+E(f836(x6673,x6674,x6675,x6676,x6677,x6678,x6671,x6679),f836(x6673,x6674,x6675,x6676,x6677,x6678,x6672,x6679))
% 202.05/201.94 [668]~E(x6681,x6682)+E(f836(x6683,x6684,x6685,x6686,x6687,x6688,x6689,x6681),f836(x6683,x6684,x6685,x6686,x6687,x6688,x6689,x6682))
% 202.05/201.94 [669]~E(x6691,x6692)+E(f156(x6691,x6693,x6694,x6695),f156(x6692,x6693,x6694,x6695))
% 202.05/201.94 [670]~E(x6701,x6702)+E(f156(x6703,x6701,x6704,x6705),f156(x6703,x6702,x6704,x6705))
% 202.05/201.94 [671]~E(x6711,x6712)+E(f156(x6713,x6714,x6711,x6715),f156(x6713,x6714,x6712,x6715))
% 202.05/201.94 [672]~E(x6721,x6722)+E(f156(x6723,x6724,x6725,x6721),f156(x6723,x6724,x6725,x6722))
% 202.05/201.94 [673]~E(x6731,x6732)+E(f227(x6731,x6733),f227(x6732,x6733))
% 202.05/201.94 [674]~E(x6741,x6742)+E(f227(x6743,x6741),f227(x6743,x6742))
% 202.05/201.94 [675]~E(x6751,x6752)+E(f839(x6751,x6753,x6754,x6755,x6756,x6757),f839(x6752,x6753,x6754,x6755,x6756,x6757))
% 202.05/201.94 [676]~E(x6761,x6762)+E(f839(x6763,x6761,x6764,x6765,x6766,x6767),f839(x6763,x6762,x6764,x6765,x6766,x6767))
% 202.05/201.94 [677]~E(x6771,x6772)+E(f839(x6773,x6774,x6771,x6775,x6776,x6777),f839(x6773,x6774,x6772,x6775,x6776,x6777))
% 202.05/201.94 [678]~E(x6781,x6782)+E(f839(x6783,x6784,x6785,x6781,x6786,x6787),f839(x6783,x6784,x6785,x6782,x6786,x6787))
% 202.05/201.94 [679]~E(x6791,x6792)+E(f839(x6793,x6794,x6795,x6796,x6791,x6797),f839(x6793,x6794,x6795,x6796,x6792,x6797))
% 202.05/201.94 [680]~E(x6801,x6802)+E(f839(x6803,x6804,x6805,x6806,x6807,x6801),f839(x6803,x6804,x6805,x6806,x6807,x6802))
% 202.05/201.94 [681]~E(x6811,x6812)+E(f578(x6811,x6813,x6814,x6815,x6816,x6817),f578(x6812,x6813,x6814,x6815,x6816,x6817))
% 202.05/201.94 [682]~E(x6821,x6822)+E(f578(x6823,x6821,x6824,x6825,x6826,x6827),f578(x6823,x6822,x6824,x6825,x6826,x6827))
% 202.05/201.94 [683]~E(x6831,x6832)+E(f578(x6833,x6834,x6831,x6835,x6836,x6837),f578(x6833,x6834,x6832,x6835,x6836,x6837))
% 202.05/201.94 [684]~E(x6841,x6842)+E(f578(x6843,x6844,x6845,x6841,x6846,x6847),f578(x6843,x6844,x6845,x6842,x6846,x6847))
% 202.05/201.94 [685]~E(x6851,x6852)+E(f578(x6853,x6854,x6855,x6856,x6851,x6857),f578(x6853,x6854,x6855,x6856,x6852,x6857))
% 202.05/201.94 [686]~E(x6861,x6862)+E(f578(x6863,x6864,x6865,x6866,x6867,x6861),f578(x6863,x6864,x6865,x6866,x6867,x6862))
% 202.05/201.94 [687]~E(x6871,x6872)+E(f220(x6871,x6873,x6874,x6875),f220(x6872,x6873,x6874,x6875))
% 202.05/201.94 [688]~E(x6881,x6882)+E(f220(x6883,x6881,x6884,x6885),f220(x6883,x6882,x6884,x6885))
% 202.05/201.94 [689]~E(x6891,x6892)+E(f220(x6893,x6894,x6891,x6895),f220(x6893,x6894,x6892,x6895))
% 202.05/201.94 [690]~E(x6901,x6902)+E(f220(x6903,x6904,x6905,x6901),f220(x6903,x6904,x6905,x6902))
% 202.05/201.94 [691]~E(x6911,x6912)+E(f794(x6911),f794(x6912))
% 202.05/201.94 [692]~E(x6921,x6922)+E(f56(x6921),f56(x6922))
% 202.05/201.94 [693]~E(x6931,x6932)+E(f667(x6931,x6933,x6934,x6935),f667(x6932,x6933,x6934,x6935))
% 202.05/201.94 [694]~E(x6941,x6942)+E(f667(x6943,x6941,x6944,x6945),f667(x6943,x6942,x6944,x6945))
% 202.05/201.94 [695]~E(x6951,x6952)+E(f667(x6953,x6954,x6951,x6955),f667(x6953,x6954,x6952,x6955))
% 202.05/201.94 [696]~E(x6961,x6962)+E(f667(x6963,x6964,x6965,x6961),f667(x6963,x6964,x6965,x6962))
% 202.05/201.94 [697]~E(x6971,x6972)+E(f109(x6971),f109(x6972))
% 202.05/201.94 [698]~E(x6981,x6982)+E(f631(x6981,x6983,x6984,x6985,x6986),f631(x6982,x6983,x6984,x6985,x6986))
% 202.05/201.94 [699]~E(x6991,x6992)+E(f631(x6993,x6991,x6994,x6995,x6996),f631(x6993,x6992,x6994,x6995,x6996))
% 202.05/201.94 [700]~E(x7001,x7002)+E(f631(x7003,x7004,x7001,x7005,x7006),f631(x7003,x7004,x7002,x7005,x7006))
% 202.05/201.94 [701]~E(x7011,x7012)+E(f631(x7013,x7014,x7015,x7011,x7016),f631(x7013,x7014,x7015,x7012,x7016))
% 202.05/201.94 [702]~E(x7021,x7022)+E(f631(x7023,x7024,x7025,x7026,x7021),f631(x7023,x7024,x7025,x7026,x7022))
% 202.05/201.94 [703]~E(x7031,x7032)+E(f871(x7031,x7033,x7034,x7035),f871(x7032,x7033,x7034,x7035))
% 202.05/201.94 [704]~E(x7041,x7042)+E(f871(x7043,x7041,x7044,x7045),f871(x7043,x7042,x7044,x7045))
% 202.05/201.94 [705]~E(x7051,x7052)+E(f871(x7053,x7054,x7051,x7055),f871(x7053,x7054,x7052,x7055))
% 202.05/201.94 [706]~E(x7061,x7062)+E(f871(x7063,x7064,x7065,x7061),f871(x7063,x7064,x7065,x7062))
% 202.05/201.94 [707]~E(x7071,x7072)+E(f407(x7071,x7073),f407(x7072,x7073))
% 202.05/201.94 [708]~E(x7081,x7082)+E(f407(x7083,x7081),f407(x7083,x7082))
% 202.05/201.94 [709]~E(x7091,x7092)+E(f353(x7091,x7093,x7094),f353(x7092,x7093,x7094))
% 202.05/201.94 [710]~E(x7101,x7102)+E(f353(x7103,x7101,x7104),f353(x7103,x7102,x7104))
% 202.05/201.94 [711]~E(x7111,x7112)+E(f353(x7113,x7114,x7111),f353(x7113,x7114,x7112))
% 202.05/201.94 [712]~E(x7121,x7122)+E(f215(x7121,x7123),f215(x7122,x7123))
% 202.05/201.94 [713]~E(x7131,x7132)+E(f215(x7133,x7131),f215(x7133,x7132))
% 202.05/201.94 [714]~E(x7141,x7142)+E(f503(x7141,x7143,x7144,x7145,x7146,x7147,x7148),f503(x7142,x7143,x7144,x7145,x7146,x7147,x7148))
% 202.05/201.94 [715]~E(x7151,x7152)+E(f503(x7153,x7151,x7154,x7155,x7156,x7157,x7158),f503(x7153,x7152,x7154,x7155,x7156,x7157,x7158))
% 202.05/201.94 [716]~E(x7161,x7162)+E(f503(x7163,x7164,x7161,x7165,x7166,x7167,x7168),f503(x7163,x7164,x7162,x7165,x7166,x7167,x7168))
% 202.05/201.94 [717]~E(x7171,x7172)+E(f503(x7173,x7174,x7175,x7171,x7176,x7177,x7178),f503(x7173,x7174,x7175,x7172,x7176,x7177,x7178))
% 202.05/201.94 [718]~E(x7181,x7182)+E(f503(x7183,x7184,x7185,x7186,x7181,x7187,x7188),f503(x7183,x7184,x7185,x7186,x7182,x7187,x7188))
% 202.05/201.94 [719]~E(x7191,x7192)+E(f503(x7193,x7194,x7195,x7196,x7197,x7191,x7198),f503(x7193,x7194,x7195,x7196,x7197,x7192,x7198))
% 202.05/201.94 [720]~E(x7201,x7202)+E(f503(x7203,x7204,x7205,x7206,x7207,x7208,x7201),f503(x7203,x7204,x7205,x7206,x7207,x7208,x7202))
% 202.05/201.94 [721]~E(x7211,x7212)+E(f544(x7211,x7213),f544(x7212,x7213))
% 202.05/201.94 [722]~E(x7221,x7222)+E(f544(x7223,x7221),f544(x7223,x7222))
% 202.05/201.94 [723]~E(x7231,x7232)+E(f779(x7231,x7233,x7234),f779(x7232,x7233,x7234))
% 202.05/201.94 [724]~E(x7241,x7242)+E(f779(x7243,x7241,x7244),f779(x7243,x7242,x7244))
% 202.05/201.94 [725]~E(x7251,x7252)+E(f779(x7253,x7254,x7251),f779(x7253,x7254,x7252))
% 202.05/201.94 [726]~E(x7261,x7262)+E(f265(x7261,x7263),f265(x7262,x7263))
% 202.05/201.94 [727]~E(x7271,x7272)+E(f265(x7273,x7271),f265(x7273,x7272))
% 202.05/201.94 [728]~E(x7281,x7282)+E(f206(x7281,x7283,x7284,x7285),f206(x7282,x7283,x7284,x7285))
% 202.05/201.94 [729]~E(x7291,x7292)+E(f206(x7293,x7291,x7294,x7295),f206(x7293,x7292,x7294,x7295))
% 202.05/201.94 [730]~E(x7301,x7302)+E(f206(x7303,x7304,x7301,x7305),f206(x7303,x7304,x7302,x7305))
% 202.05/201.94 [731]~E(x7311,x7312)+E(f206(x7313,x7314,x7315,x7311),f206(x7313,x7314,x7315,x7312))
% 202.05/201.94 [732]~E(x7321,x7322)+E(f163(x7321,x7323,x7324,x7325),f163(x7322,x7323,x7324,x7325))
% 202.05/201.94 [733]~E(x7331,x7332)+E(f163(x7333,x7331,x7334,x7335),f163(x7333,x7332,x7334,x7335))
% 202.05/201.94 [734]~E(x7341,x7342)+E(f163(x7343,x7344,x7341,x7345),f163(x7343,x7344,x7342,x7345))
% 202.05/201.94 [735]~E(x7351,x7352)+E(f163(x7353,x7354,x7355,x7351),f163(x7353,x7354,x7355,x7352))
% 202.05/201.94 [736]~E(x7361,x7362)+E(f433(x7361,x7363),f433(x7362,x7363))
% 202.05/201.94 [737]~E(x7371,x7372)+E(f433(x7373,x7371),f433(x7373,x7372))
% 202.05/201.94 [738]~E(x7381,x7382)+E(f898(x7381,x7383,x7384),f898(x7382,x7383,x7384))
% 202.05/201.94 [739]~E(x7391,x7392)+E(f898(x7393,x7391,x7394),f898(x7393,x7392,x7394))
% 202.05/201.94 [740]~E(x7401,x7402)+E(f898(x7403,x7404,x7401),f898(x7403,x7404,x7402))
% 202.05/201.94 [741]~E(x7411,x7412)+E(f166(x7411,x7413,x7414),f166(x7412,x7413,x7414))
% 202.05/201.94 [742]~E(x7421,x7422)+E(f166(x7423,x7421,x7424),f166(x7423,x7422,x7424))
% 202.05/201.94 [743]~E(x7431,x7432)+E(f166(x7433,x7434,x7431),f166(x7433,x7434,x7432))
% 202.05/201.94 [744]~E(x7441,x7442)+E(f47(x7441,x7443),f47(x7442,x7443))
% 202.05/201.94 [745]~E(x7451,x7452)+E(f47(x7453,x7451),f47(x7453,x7452))
% 202.05/201.94 [746]~E(x7461,x7462)+E(f86(x7461),f86(x7462))
% 202.05/201.94 [747]~E(x7471,x7472)+E(f469(x7471,x7473,x7474),f469(x7472,x7473,x7474))
% 202.05/201.94 [748]~E(x7481,x7482)+E(f469(x7483,x7481,x7484),f469(x7483,x7482,x7484))
% 202.05/201.94 [749]~E(x7491,x7492)+E(f469(x7493,x7494,x7491),f469(x7493,x7494,x7492))
% 202.05/201.94 [750]~E(x7501,x7502)+E(f727(x7501,x7503,x7504),f727(x7502,x7503,x7504))
% 202.05/201.94 [751]~E(x7511,x7512)+E(f727(x7513,x7511,x7514),f727(x7513,x7512,x7514))
% 202.05/201.94 [752]~E(x7521,x7522)+E(f727(x7523,x7524,x7521),f727(x7523,x7524,x7522))
% 202.05/201.94 [753]~E(x7531,x7532)+E(f376(x7531,x7533,x7534),f376(x7532,x7533,x7534))
% 202.05/201.94 [754]~E(x7541,x7542)+E(f376(x7543,x7541,x7544),f376(x7543,x7542,x7544))
% 202.05/201.94 [755]~E(x7551,x7552)+E(f376(x7553,x7554,x7551),f376(x7553,x7554,x7552))
% 202.05/201.94 [756]~E(x7561,x7562)+E(f356(x7561,x7563,x7564,x7565),f356(x7562,x7563,x7564,x7565))
% 202.05/201.94 [757]~E(x7571,x7572)+E(f356(x7573,x7571,x7574,x7575),f356(x7573,x7572,x7574,x7575))
% 202.05/201.94 [758]~E(x7581,x7582)+E(f356(x7583,x7584,x7581,x7585),f356(x7583,x7584,x7582,x7585))
% 202.05/201.94 [759]~E(x7591,x7592)+E(f356(x7593,x7594,x7595,x7591),f356(x7593,x7594,x7595,x7592))
% 202.05/201.94 [760]~E(x7601,x7602)+E(f671(x7601,x7603,x7604,x7605,x7606),f671(x7602,x7603,x7604,x7605,x7606))
% 202.05/201.94 [761]~E(x7611,x7612)+E(f671(x7613,x7611,x7614,x7615,x7616),f671(x7613,x7612,x7614,x7615,x7616))
% 202.05/201.94 [762]~E(x7621,x7622)+E(f671(x7623,x7624,x7621,x7625,x7626),f671(x7623,x7624,x7622,x7625,x7626))
% 202.05/201.94 [763]~E(x7631,x7632)+E(f671(x7633,x7634,x7635,x7631,x7636),f671(x7633,x7634,x7635,x7632,x7636))
% 202.05/201.94 [764]~E(x7641,x7642)+E(f671(x7643,x7644,x7645,x7646,x7641),f671(x7643,x7644,x7645,x7646,x7642))
% 202.05/201.94 [765]~E(x7651,x7652)+E(f632(x7651,x7653,x7654,x7655),f632(x7652,x7653,x7654,x7655))
% 202.05/201.94 [766]~E(x7661,x7662)+E(f632(x7663,x7661,x7664,x7665),f632(x7663,x7662,x7664,x7665))
% 202.05/201.94 [767]~E(x7671,x7672)+E(f632(x7673,x7674,x7671,x7675),f632(x7673,x7674,x7672,x7675))
% 202.05/201.94 [768]~E(x7681,x7682)+E(f632(x7683,x7684,x7685,x7681),f632(x7683,x7684,x7685,x7682))
% 202.05/201.94 [769]~E(x7691,x7692)+E(f876(x7691),f876(x7692))
% 202.05/201.94 [770]~E(x7701,x7702)+E(f757(x7701,x7703,x7704,x7705),f757(x7702,x7703,x7704,x7705))
% 202.05/201.94 [771]~E(x7711,x7712)+E(f757(x7713,x7711,x7714,x7715),f757(x7713,x7712,x7714,x7715))
% 202.05/201.94 [772]~E(x7721,x7722)+E(f757(x7723,x7724,x7721,x7725),f757(x7723,x7724,x7722,x7725))
% 202.05/201.94 [773]~E(x7731,x7732)+E(f757(x7733,x7734,x7735,x7731),f757(x7733,x7734,x7735,x7732))
% 202.05/201.94 [774]~E(x7741,x7742)+E(f719(x7741,x7743),f719(x7742,x7743))
% 202.05/201.94 [775]~E(x7751,x7752)+E(f719(x7753,x7751),f719(x7753,x7752))
% 202.05/201.94 [776]~E(x7761,x7762)+E(f869(x7761,x7763,x7764),f869(x7762,x7763,x7764))
% 202.05/201.94 [777]~E(x7771,x7772)+E(f869(x7773,x7771,x7774),f869(x7773,x7772,x7774))
% 202.05/201.94 [778]~E(x7781,x7782)+E(f869(x7783,x7784,x7781),f869(x7783,x7784,x7782))
% 202.05/201.94 [779]~E(x7791,x7792)+E(f311(x7791,x7793),f311(x7792,x7793))
% 202.05/201.94 [780]~E(x7801,x7802)+E(f311(x7803,x7801),f311(x7803,x7802))
% 202.05/201.94 [781]~E(x7811,x7812)+E(f504(x7811,x7813,x7814,x7815,x7816,x7817,x7818),f504(x7812,x7813,x7814,x7815,x7816,x7817,x7818))
% 202.05/201.94 [782]~E(x7821,x7822)+E(f504(x7823,x7821,x7824,x7825,x7826,x7827,x7828),f504(x7823,x7822,x7824,x7825,x7826,x7827,x7828))
% 202.05/201.94 [783]~E(x7831,x7832)+E(f504(x7833,x7834,x7831,x7835,x7836,x7837,x7838),f504(x7833,x7834,x7832,x7835,x7836,x7837,x7838))
% 202.05/201.94 [784]~E(x7841,x7842)+E(f504(x7843,x7844,x7845,x7841,x7846,x7847,x7848),f504(x7843,x7844,x7845,x7842,x7846,x7847,x7848))
% 202.05/201.94 [785]~E(x7851,x7852)+E(f504(x7853,x7854,x7855,x7856,x7851,x7857,x7858),f504(x7853,x7854,x7855,x7856,x7852,x7857,x7858))
% 202.05/201.94 [786]~E(x7861,x7862)+E(f504(x7863,x7864,x7865,x7866,x7867,x7861,x7868),f504(x7863,x7864,x7865,x7866,x7867,x7862,x7868))
% 202.05/201.94 [787]~E(x7871,x7872)+E(f504(x7873,x7874,x7875,x7876,x7877,x7878,x7871),f504(x7873,x7874,x7875,x7876,x7877,x7878,x7872))
% 202.05/201.94 [788]~E(x7881,x7882)+E(f305(x7881,x7883,x7884),f305(x7882,x7883,x7884))
% 202.05/201.94 [789]~E(x7891,x7892)+E(f305(x7893,x7891,x7894),f305(x7893,x7892,x7894))
% 202.05/201.94 [790]~E(x7901,x7902)+E(f305(x7903,x7904,x7901),f305(x7903,x7904,x7902))
% 202.05/201.94 [791]~E(x7911,x7912)+E(f625(x7911,x7913,x7914,x7915,x7916),f625(x7912,x7913,x7914,x7915,x7916))
% 202.05/201.94 [792]~E(x7921,x7922)+E(f625(x7923,x7921,x7924,x7925,x7926),f625(x7923,x7922,x7924,x7925,x7926))
% 202.05/201.94 [793]~E(x7931,x7932)+E(f625(x7933,x7934,x7931,x7935,x7936),f625(x7933,x7934,x7932,x7935,x7936))
% 202.05/201.94 [794]~E(x7941,x7942)+E(f625(x7943,x7944,x7945,x7941,x7946),f625(x7943,x7944,x7945,x7942,x7946))
% 202.05/201.94 [795]~E(x7951,x7952)+E(f625(x7953,x7954,x7955,x7956,x7951),f625(x7953,x7954,x7955,x7956,x7952))
% 202.05/201.94 [796]~E(x7961,x7962)+E(f580(x7961,x7963,x7964,x7965,x7966,x7967),f580(x7962,x7963,x7964,x7965,x7966,x7967))
% 202.05/201.94 [797]~E(x7971,x7972)+E(f580(x7973,x7971,x7974,x7975,x7976,x7977),f580(x7973,x7972,x7974,x7975,x7976,x7977))
% 202.05/201.94 [798]~E(x7981,x7982)+E(f580(x7983,x7984,x7981,x7985,x7986,x7987),f580(x7983,x7984,x7982,x7985,x7986,x7987))
% 202.05/201.94 [799]~E(x7991,x7992)+E(f580(x7993,x7994,x7995,x7991,x7996,x7997),f580(x7993,x7994,x7995,x7992,x7996,x7997))
% 202.05/201.94 [800]~E(x8001,x8002)+E(f580(x8003,x8004,x8005,x8006,x8001,x8007),f580(x8003,x8004,x8005,x8006,x8002,x8007))
% 202.05/201.94 [801]~E(x8011,x8012)+E(f580(x8013,x8014,x8015,x8016,x8017,x8011),f580(x8013,x8014,x8015,x8016,x8017,x8012))
% 202.05/201.94 [802]~E(x8021,x8022)+E(f842(x8021,x8023,x8024,x8025,x8026,x8027,x8028),f842(x8022,x8023,x8024,x8025,x8026,x8027,x8028))
% 202.05/201.94 [803]~E(x8031,x8032)+E(f842(x8033,x8031,x8034,x8035,x8036,x8037,x8038),f842(x8033,x8032,x8034,x8035,x8036,x8037,x8038))
% 202.05/201.94 [804]~E(x8041,x8042)+E(f842(x8043,x8044,x8041,x8045,x8046,x8047,x8048),f842(x8043,x8044,x8042,x8045,x8046,x8047,x8048))
% 202.05/201.94 [805]~E(x8051,x8052)+E(f842(x8053,x8054,x8055,x8051,x8056,x8057,x8058),f842(x8053,x8054,x8055,x8052,x8056,x8057,x8058))
% 202.05/201.94 [806]~E(x8061,x8062)+E(f842(x8063,x8064,x8065,x8066,x8061,x8067,x8068),f842(x8063,x8064,x8065,x8066,x8062,x8067,x8068))
% 202.05/201.94 [807]~E(x8071,x8072)+E(f842(x8073,x8074,x8075,x8076,x8077,x8071,x8078),f842(x8073,x8074,x8075,x8076,x8077,x8072,x8078))
% 202.05/201.94 [808]~E(x8081,x8082)+E(f842(x8083,x8084,x8085,x8086,x8087,x8088,x8081),f842(x8083,x8084,x8085,x8086,x8087,x8088,x8082))
% 202.05/201.94 [809]~E(x8091,x8092)+E(f130(x8091,x8093,x8094,x8095),f130(x8092,x8093,x8094,x8095))
% 202.05/201.94 [810]~E(x8101,x8102)+E(f130(x8103,x8101,x8104,x8105),f130(x8103,x8102,x8104,x8105))
% 202.05/201.94 [811]~E(x8111,x8112)+E(f130(x8113,x8114,x8111,x8115),f130(x8113,x8114,x8112,x8115))
% 202.05/201.94 [812]~E(x8121,x8122)+E(f130(x8123,x8124,x8125,x8121),f130(x8123,x8124,x8125,x8122))
% 202.05/201.94 [813]~E(x8131,x8132)+E(f354(x8131,x8133,x8134),f354(x8132,x8133,x8134))
% 202.05/201.94 [814]~E(x8141,x8142)+E(f354(x8143,x8141,x8144),f354(x8143,x8142,x8144))
% 202.05/201.94 [815]~E(x8151,x8152)+E(f354(x8153,x8154,x8151),f354(x8153,x8154,x8152))
% 202.05/201.94 [816]~E(x8161,x8162)+E(f714(x8161,x8163),f714(x8162,x8163))
% 202.05/201.94 [817]~E(x8171,x8172)+E(f714(x8173,x8171),f714(x8173,x8172))
% 202.05/201.94 [818]~E(x8181,x8182)+E(f432(x8181,x8183,x8184,x8185),f432(x8182,x8183,x8184,x8185))
% 202.05/201.94 [819]~E(x8191,x8192)+E(f432(x8193,x8191,x8194,x8195),f432(x8193,x8192,x8194,x8195))
% 202.05/201.94 [820]~E(x8201,x8202)+E(f432(x8203,x8204,x8201,x8205),f432(x8203,x8204,x8202,x8205))
% 202.05/201.94 [821]~E(x8211,x8212)+E(f432(x8213,x8214,x8215,x8211),f432(x8213,x8214,x8215,x8212))
% 202.05/201.94 [822]~E(x8221,x8222)+E(f718(x8221,x8223,x8224,x8225),f718(x8222,x8223,x8224,x8225))
% 202.05/201.94 [823]~E(x8231,x8232)+E(f718(x8233,x8231,x8234,x8235),f718(x8233,x8232,x8234,x8235))
% 202.05/201.94 [824]~E(x8241,x8242)+E(f718(x8243,x8244,x8241,x8245),f718(x8243,x8244,x8242,x8245))
% 202.05/201.94 [825]~E(x8251,x8252)+E(f718(x8253,x8254,x8255,x8251),f718(x8253,x8254,x8255,x8252))
% 202.05/201.94 [826]~E(x8261,x8262)+E(f613(x8261,x8263,x8264),f613(x8262,x8263,x8264))
% 202.05/201.94 [827]~E(x8271,x8272)+E(f613(x8273,x8271,x8274),f613(x8273,x8272,x8274))
% 202.05/201.94 [828]~E(x8281,x8282)+E(f613(x8283,x8284,x8281),f613(x8283,x8284,x8282))
% 202.05/201.94 [829]~E(x8291,x8292)+E(f453(x8291,x8293,x8294,x8295),f453(x8292,x8293,x8294,x8295))
% 202.05/201.94 [830]~E(x8301,x8302)+E(f453(x8303,x8301,x8304,x8305),f453(x8303,x8302,x8304,x8305))
% 202.05/201.94 [831]~E(x8311,x8312)+E(f453(x8313,x8314,x8311,x8315),f453(x8313,x8314,x8312,x8315))
% 202.05/201.94 [832]~E(x8321,x8322)+E(f453(x8323,x8324,x8325,x8321),f453(x8323,x8324,x8325,x8322))
% 202.05/201.94 [833]~E(x8331,x8332)+E(f568(x8331),f568(x8332))
% 202.05/201.94 [834]~E(x8341,x8342)+E(f634(x8341,x8343,x8344,x8345),f634(x8342,x8343,x8344,x8345))
% 202.05/201.94 [835]~E(x8351,x8352)+E(f634(x8353,x8351,x8354,x8355),f634(x8353,x8352,x8354,x8355))
% 202.05/201.94 [836]~E(x8361,x8362)+E(f634(x8363,x8364,x8361,x8365),f634(x8363,x8364,x8362,x8365))
% 202.05/201.94 [837]~E(x8371,x8372)+E(f634(x8373,x8374,x8375,x8371),f634(x8373,x8374,x8375,x8372))
% 202.05/201.94 [838]~E(x8381,x8382)+E(f526(x8381),f526(x8382))
% 202.05/201.94 [839]~E(x8391,x8392)+E(f861(x8391,x8393,x8394),f861(x8392,x8393,x8394))
% 202.05/201.94 [840]~E(x8401,x8402)+E(f861(x8403,x8401,x8404),f861(x8403,x8402,x8404))
% 202.05/201.94 [841]~E(x8411,x8412)+E(f861(x8413,x8414,x8411),f861(x8413,x8414,x8412))
% 202.05/201.94 [842]~E(x8421,x8422)+E(f736(x8421,x8423,x8424,x8425,x8426,x8427,x8428),f736(x8422,x8423,x8424,x8425,x8426,x8427,x8428))
% 202.05/201.94 [843]~E(x8431,x8432)+E(f736(x8433,x8431,x8434,x8435,x8436,x8437,x8438),f736(x8433,x8432,x8434,x8435,x8436,x8437,x8438))
% 202.05/201.94 [844]~E(x8441,x8442)+E(f736(x8443,x8444,x8441,x8445,x8446,x8447,x8448),f736(x8443,x8444,x8442,x8445,x8446,x8447,x8448))
% 202.05/201.94 [845]~E(x8451,x8452)+E(f736(x8453,x8454,x8455,x8451,x8456,x8457,x8458),f736(x8453,x8454,x8455,x8452,x8456,x8457,x8458))
% 202.05/201.94 [846]~E(x8461,x8462)+E(f736(x8463,x8464,x8465,x8466,x8461,x8467,x8468),f736(x8463,x8464,x8465,x8466,x8462,x8467,x8468))
% 202.05/201.94 [847]~E(x8471,x8472)+E(f736(x8473,x8474,x8475,x8476,x8477,x8471,x8478),f736(x8473,x8474,x8475,x8476,x8477,x8472,x8478))
% 202.05/201.94 [848]~E(x8481,x8482)+E(f736(x8483,x8484,x8485,x8486,x8487,x8488,x8481),f736(x8483,x8484,x8485,x8486,x8487,x8488,x8482))
% 202.05/201.94 [849]~E(x8491,x8492)+E(f173(x8491,x8493,x8494),f173(x8492,x8493,x8494))
% 202.05/201.94 [850]~E(x8501,x8502)+E(f173(x8503,x8501,x8504),f173(x8503,x8502,x8504))
% 202.05/201.94 [851]~E(x8511,x8512)+E(f173(x8513,x8514,x8511),f173(x8513,x8514,x8512))
% 202.05/201.94 [852]~E(x8521,x8522)+E(f462(x8521,x8523,x8524,x8525,x8526),f462(x8522,x8523,x8524,x8525,x8526))
% 202.05/201.94 [853]~E(x8531,x8532)+E(f462(x8533,x8531,x8534,x8535,x8536),f462(x8533,x8532,x8534,x8535,x8536))
% 202.05/201.94 [854]~E(x8541,x8542)+E(f462(x8543,x8544,x8541,x8545,x8546),f462(x8543,x8544,x8542,x8545,x8546))
% 202.05/201.94 [855]~E(x8551,x8552)+E(f462(x8553,x8554,x8555,x8551,x8556),f462(x8553,x8554,x8555,x8552,x8556))
% 202.05/201.94 [856]~E(x8561,x8562)+E(f462(x8563,x8564,x8565,x8566,x8561),f462(x8563,x8564,x8565,x8566,x8562))
% 202.05/201.94 [857]~E(x8571,x8572)+E(f296(x8571,x8573,x8574,x8575,x8576),f296(x8572,x8573,x8574,x8575,x8576))
% 202.05/201.94 [858]~E(x8581,x8582)+E(f296(x8583,x8581,x8584,x8585,x8586),f296(x8583,x8582,x8584,x8585,x8586))
% 202.05/201.94 [859]~E(x8591,x8592)+E(f296(x8593,x8594,x8591,x8595,x8596),f296(x8593,x8594,x8592,x8595,x8596))
% 202.05/201.94 [860]~E(x8601,x8602)+E(f296(x8603,x8604,x8605,x8601,x8606),f296(x8603,x8604,x8605,x8602,x8606))
% 202.05/201.94 [861]~E(x8611,x8612)+E(f296(x8613,x8614,x8615,x8616,x8611),f296(x8613,x8614,x8615,x8616,x8612))
% 202.05/201.94 [862]~E(x8621,x8622)+E(f737(x8621,x8623,x8624,x8625,x8626,x8627,x8628),f737(x8622,x8623,x8624,x8625,x8626,x8627,x8628))
% 202.05/201.94 [863]~E(x8631,x8632)+E(f737(x8633,x8631,x8634,x8635,x8636,x8637,x8638),f737(x8633,x8632,x8634,x8635,x8636,x8637,x8638))
% 202.05/201.94 [864]~E(x8641,x8642)+E(f737(x8643,x8644,x8641,x8645,x8646,x8647,x8648),f737(x8643,x8644,x8642,x8645,x8646,x8647,x8648))
% 202.05/201.94 [865]~E(x8651,x8652)+E(f737(x8653,x8654,x8655,x8651,x8656,x8657,x8658),f737(x8653,x8654,x8655,x8652,x8656,x8657,x8658))
% 202.05/201.94 [866]~E(x8661,x8662)+E(f737(x8663,x8664,x8665,x8666,x8661,x8667,x8668),f737(x8663,x8664,x8665,x8666,x8662,x8667,x8668))
% 202.05/201.94 [867]~E(x8671,x8672)+E(f737(x8673,x8674,x8675,x8676,x8677,x8671,x8678),f737(x8673,x8674,x8675,x8676,x8677,x8672,x8678))
% 202.05/201.94 [868]~E(x8681,x8682)+E(f737(x8683,x8684,x8685,x8686,x8687,x8688,x8681),f737(x8683,x8684,x8685,x8686,x8687,x8688,x8682))
% 202.05/201.94 [869]~E(x8691,x8692)+E(f268(x8691,x8693),f268(x8692,x8693))
% 202.05/201.94 [870]~E(x8701,x8702)+E(f268(x8703,x8701),f268(x8703,x8702))
% 202.05/201.94 [871]~E(x8711,x8712)+E(f52(x8711,x8713),f52(x8712,x8713))
% 202.05/201.94 [872]~E(x8721,x8722)+E(f52(x8723,x8721),f52(x8723,x8722))
% 202.05/201.94 [873]~E(x8731,x8732)+E(f661(x8731,x8733,x8734),f661(x8732,x8733,x8734))
% 202.05/201.94 [874]~E(x8741,x8742)+E(f661(x8743,x8741,x8744),f661(x8743,x8742,x8744))
% 202.05/201.94 [875]~E(x8751,x8752)+E(f661(x8753,x8754,x8751),f661(x8753,x8754,x8752))
% 202.05/201.94 [876]~E(x8761,x8762)+E(f299(x8761,x8763,x8764,x8765,x8766),f299(x8762,x8763,x8764,x8765,x8766))
% 202.05/201.94 [877]~E(x8771,x8772)+E(f299(x8773,x8771,x8774,x8775,x8776),f299(x8773,x8772,x8774,x8775,x8776))
% 202.05/201.94 [878]~E(x8781,x8782)+E(f299(x8783,x8784,x8781,x8785,x8786),f299(x8783,x8784,x8782,x8785,x8786))
% 202.05/201.94 [879]~E(x8791,x8792)+E(f299(x8793,x8794,x8795,x8791,x8796),f299(x8793,x8794,x8795,x8792,x8796))
% 202.05/201.94 [880]~E(x8801,x8802)+E(f299(x8803,x8804,x8805,x8806,x8801),f299(x8803,x8804,x8805,x8806,x8802))
% 202.05/201.94 [881]~E(x8811,x8812)+E(f355(x8811,x8813,x8814,x8815),f355(x8812,x8813,x8814,x8815))
% 202.05/201.94 [882]~E(x8821,x8822)+E(f355(x8823,x8821,x8824,x8825),f355(x8823,x8822,x8824,x8825))
% 202.05/201.94 [883]~E(x8831,x8832)+E(f355(x8833,x8834,x8831,x8835),f355(x8833,x8834,x8832,x8835))
% 202.05/201.94 [884]~E(x8841,x8842)+E(f355(x8843,x8844,x8845,x8841),f355(x8843,x8844,x8845,x8842))
% 202.05/201.94 [885]~E(x8851,x8852)+E(f429(x8851,x8853,x8854,x8855),f429(x8852,x8853,x8854,x8855))
% 202.05/201.94 [886]~E(x8861,x8862)+E(f429(x8863,x8861,x8864,x8865),f429(x8863,x8862,x8864,x8865))
% 202.05/201.94 [887]~E(x8871,x8872)+E(f429(x8873,x8874,x8871,x8875),f429(x8873,x8874,x8872,x8875))
% 202.05/201.94 [888]~E(x8881,x8882)+E(f429(x8883,x8884,x8885,x8881),f429(x8883,x8884,x8885,x8882))
% 202.05/201.94 [889]~E(x8891,x8892)+E(f21(x8891,x8893,x8894,x8895),f21(x8892,x8893,x8894,x8895))
% 202.05/201.94 [890]~E(x8901,x8902)+E(f21(x8903,x8901,x8904,x8905),f21(x8903,x8902,x8904,x8905))
% 202.05/201.94 [891]~E(x8911,x8912)+E(f21(x8913,x8914,x8911,x8915),f21(x8913,x8914,x8912,x8915))
% 202.05/201.94 [892]~E(x8921,x8922)+E(f21(x8923,x8924,x8925,x8921),f21(x8923,x8924,x8925,x8922))
% 202.05/201.94 [893]~E(x8931,x8932)+E(f765(x8931,x8933,x8934,x8935),f765(x8932,x8933,x8934,x8935))
% 202.05/201.94 [894]~E(x8941,x8942)+E(f765(x8943,x8941,x8944,x8945),f765(x8943,x8942,x8944,x8945))
% 202.05/201.94 [895]~E(x8951,x8952)+E(f765(x8953,x8954,x8951,x8955),f765(x8953,x8954,x8952,x8955))
% 202.05/201.94 [896]~E(x8961,x8962)+E(f765(x8963,x8964,x8965,x8961),f765(x8963,x8964,x8965,x8962))
% 202.05/201.94 [897]~E(x8971,x8972)+E(f395(x8971,x8973,x8974),f395(x8972,x8973,x8974))
% 202.05/201.94 [898]~E(x8981,x8982)+E(f395(x8983,x8981,x8984),f395(x8983,x8982,x8984))
% 202.05/201.94 [899]~E(x8991,x8992)+E(f395(x8993,x8994,x8991),f395(x8993,x8994,x8992))
% 202.05/201.94 [900]~E(x9001,x9002)+E(f55(x9001),f55(x9002))
% 202.05/201.94 [901]~E(x9011,x9012)+E(f345(x9011,x9013),f345(x9012,x9013))
% 202.05/201.94 [902]~E(x9021,x9022)+E(f345(x9023,x9021),f345(x9023,x9022))
% 202.05/201.94 [903]~E(x9031,x9032)+E(f228(x9031,x9033,x9034),f228(x9032,x9033,x9034))
% 202.05/201.94 [904]~E(x9041,x9042)+E(f228(x9043,x9041,x9044),f228(x9043,x9042,x9044))
% 202.05/201.94 [905]~E(x9051,x9052)+E(f228(x9053,x9054,x9051),f228(x9053,x9054,x9052))
% 202.05/201.94 [906]~E(x9061,x9062)+E(f312(x9061,x9063,x9064,x9065),f312(x9062,x9063,x9064,x9065))
% 202.05/201.94 [907]~E(x9071,x9072)+E(f312(x9073,x9071,x9074,x9075),f312(x9073,x9072,x9074,x9075))
% 202.05/201.94 [908]~E(x9081,x9082)+E(f312(x9083,x9084,x9081,x9085),f312(x9083,x9084,x9082,x9085))
% 202.05/201.94 [909]~E(x9091,x9092)+E(f312(x9093,x9094,x9095,x9091),f312(x9093,x9094,x9095,x9092))
% 202.05/201.94 [910]~E(x9101,x9102)+E(f835(x9101,x9103,x9104,x9105,x9106,x9107,x9108,x9109),f835(x9102,x9103,x9104,x9105,x9106,x9107,x9108,x9109))
% 202.05/201.94 [911]~E(x9111,x9112)+E(f835(x9113,x9111,x9114,x9115,x9116,x9117,x9118,x9119),f835(x9113,x9112,x9114,x9115,x9116,x9117,x9118,x9119))
% 202.05/201.94 [912]~E(x9121,x9122)+E(f835(x9123,x9124,x9121,x9125,x9126,x9127,x9128,x9129),f835(x9123,x9124,x9122,x9125,x9126,x9127,x9128,x9129))
% 202.05/201.94 [913]~E(x9131,x9132)+E(f835(x9133,x9134,x9135,x9131,x9136,x9137,x9138,x9139),f835(x9133,x9134,x9135,x9132,x9136,x9137,x9138,x9139))
% 202.05/201.94 [914]~E(x9141,x9142)+E(f835(x9143,x9144,x9145,x9146,x9141,x9147,x9148,x9149),f835(x9143,x9144,x9145,x9146,x9142,x9147,x9148,x9149))
% 202.05/201.94 [915]~E(x9151,x9152)+E(f835(x9153,x9154,x9155,x9156,x9157,x9151,x9158,x9159),f835(x9153,x9154,x9155,x9156,x9157,x9152,x9158,x9159))
% 202.05/201.94 [916]~E(x9161,x9162)+E(f835(x9163,x9164,x9165,x9166,x9167,x9168,x9161,x9169),f835(x9163,x9164,x9165,x9166,x9167,x9168,x9162,x9169))
% 202.05/201.94 [917]~E(x9171,x9172)+E(f835(x9173,x9174,x9175,x9176,x9177,x9178,x9179,x9171),f835(x9173,x9174,x9175,x9176,x9177,x9178,x9179,x9172))
% 202.05/201.94 [918]~E(x9181,x9182)+E(f467(x9181,x9183),f467(x9182,x9183))
% 202.05/201.94 [919]~E(x9191,x9192)+E(f467(x9193,x9191),f467(x9193,x9192))
% 202.05/201.94 [920]~E(x9201,x9202)+E(f693(x9201,x9203,x9204),f693(x9202,x9203,x9204))
% 202.05/201.94 [921]~E(x9211,x9212)+E(f693(x9213,x9211,x9214),f693(x9213,x9212,x9214))
% 202.05/201.94 [922]~E(x9221,x9222)+E(f693(x9223,x9224,x9221),f693(x9223,x9224,x9222))
% 202.05/201.94 [923]~E(x9231,x9232)+E(f622(x9231,x9233,x9234,x9235,x9236),f622(x9232,x9233,x9234,x9235,x9236))
% 202.05/201.94 [924]~E(x9241,x9242)+E(f622(x9243,x9241,x9244,x9245,x9246),f622(x9243,x9242,x9244,x9245,x9246))
% 202.05/201.94 [925]~E(x9251,x9252)+E(f622(x9253,x9254,x9251,x9255,x9256),f622(x9253,x9254,x9252,x9255,x9256))
% 202.05/201.94 [926]~E(x9261,x9262)+E(f622(x9263,x9264,x9265,x9261,x9266),f622(x9263,x9264,x9265,x9262,x9266))
% 202.05/201.94 [927]~E(x9271,x9272)+E(f622(x9273,x9274,x9275,x9276,x9271),f622(x9273,x9274,x9275,x9276,x9272))
% 202.05/201.94 [928]~E(x9281,x9282)+E(f900(x9281,x9283),f900(x9282,x9283))
% 202.05/201.94 [929]~E(x9291,x9292)+E(f900(x9293,x9291),f900(x9293,x9292))
% 202.05/201.94 [930]~E(x9301,x9302)+E(f53(x9301,x9303),f53(x9302,x9303))
% 202.05/201.94 [931]~E(x9311,x9312)+E(f53(x9313,x9311),f53(x9313,x9312))
% 202.05/201.94 [932]~E(x9321,x9322)+E(f289(x9321,x9323,x9324,x9325),f289(x9322,x9323,x9324,x9325))
% 202.05/201.94 [933]~E(x9331,x9332)+E(f289(x9333,x9331,x9334,x9335),f289(x9333,x9332,x9334,x9335))
% 202.05/201.94 [934]~E(x9341,x9342)+E(f289(x9343,x9344,x9341,x9345),f289(x9343,x9344,x9342,x9345))
% 202.05/201.94 [935]~E(x9351,x9352)+E(f289(x9353,x9354,x9355,x9351),f289(x9353,x9354,x9355,x9352))
% 202.05/201.94 [936]~E(x9361,x9362)+E(f707(x9361,x9363,x9364),f707(x9362,x9363,x9364))
% 202.05/201.94 [937]~E(x9371,x9372)+E(f707(x9373,x9371,x9374),f707(x9373,x9372,x9374))
% 202.05/201.94 [938]~E(x9381,x9382)+E(f707(x9383,x9384,x9381),f707(x9383,x9384,x9382))
% 202.05/201.94 [939]~E(x9391,x9392)+E(f845(x9391,x9393,x9394),f845(x9392,x9393,x9394))
% 202.05/201.94 [940]~E(x9401,x9402)+E(f845(x9403,x9401,x9404),f845(x9403,x9402,x9404))
% 202.05/201.94 [941]~E(x9411,x9412)+E(f845(x9413,x9414,x9411),f845(x9413,x9414,x9412))
% 202.05/201.94 [942]~E(x9421,x9422)+E(f601(x9421,x9423,x9424),f601(x9422,x9423,x9424))
% 202.05/201.94 [943]~E(x9431,x9432)+E(f601(x9433,x9431,x9434),f601(x9433,x9432,x9434))
% 202.05/201.94 [944]~E(x9441,x9442)+E(f601(x9443,x9444,x9441),f601(x9443,x9444,x9442))
% 202.05/201.94 [945]~E(x9451,x9452)+E(f192(x9451,x9453),f192(x9452,x9453))
% 202.05/201.94 [946]~E(x9461,x9462)+E(f192(x9463,x9461),f192(x9463,x9462))
% 202.05/201.94 [947]~E(x9471,x9472)+E(f370(x9471,x9473,x9474),f370(x9472,x9473,x9474))
% 202.05/201.94 [948]~E(x9481,x9482)+E(f370(x9483,x9481,x9484),f370(x9483,x9482,x9484))
% 202.05/201.94 [949]~E(x9491,x9492)+E(f370(x9493,x9494,x9491),f370(x9493,x9494,x9492))
% 202.05/201.94 [950]~E(x9501,x9502)+E(f121(x9501,x9503),f121(x9502,x9503))
% 202.05/201.94 [951]~E(x9511,x9512)+E(f121(x9513,x9511),f121(x9513,x9512))
% 202.05/201.94 [952]~E(x9521,x9522)+E(f30(x9521,x9523),f30(x9522,x9523))
% 202.05/201.94 [953]~E(x9531,x9532)+E(f30(x9533,x9531),f30(x9533,x9532))
% 202.05/201.94 [954]~E(x9541,x9542)+E(f145(x9541,x9543),f145(x9542,x9543))
% 202.05/201.94 [955]~E(x9551,x9552)+E(f145(x9553,x9551),f145(x9553,x9552))
% 202.05/201.94 [956]~E(x9561,x9562)+E(f867(x9561,x9563,x9564),f867(x9562,x9563,x9564))
% 202.05/201.94 [957]~E(x9571,x9572)+E(f867(x9573,x9571,x9574),f867(x9573,x9572,x9574))
% 202.05/201.94 [958]~E(x9581,x9582)+E(f867(x9583,x9584,x9581),f867(x9583,x9584,x9582))
% 202.05/201.94 [959]~E(x9591,x9592)+E(f266(x9591),f266(x9592))
% 202.05/201.94 [960]~E(x9601,x9602)+E(f445(x9601,x9603,x9604,x9605),f445(x9602,x9603,x9604,x9605))
% 202.05/201.94 [961]~E(x9611,x9612)+E(f445(x9613,x9611,x9614,x9615),f445(x9613,x9612,x9614,x9615))
% 202.05/201.94 [962]~E(x9621,x9622)+E(f445(x9623,x9624,x9621,x9625),f445(x9623,x9624,x9622,x9625))
% 202.05/201.94 [963]~E(x9631,x9632)+E(f445(x9633,x9634,x9635,x9631),f445(x9633,x9634,x9635,x9632))
% 202.05/201.94 [964]~E(x9641,x9642)+E(f629(x9641,x9643,x9644,x9645,x9646),f629(x9642,x9643,x9644,x9645,x9646))
% 202.05/201.94 [965]~E(x9651,x9652)+E(f629(x9653,x9651,x9654,x9655,x9656),f629(x9653,x9652,x9654,x9655,x9656))
% 202.05/201.94 [966]~E(x9661,x9662)+E(f629(x9663,x9664,x9661,x9665,x9666),f629(x9663,x9664,x9662,x9665,x9666))
% 202.05/201.94 [967]~E(x9671,x9672)+E(f629(x9673,x9674,x9675,x9671,x9676),f629(x9673,x9674,x9675,x9672,x9676))
% 202.05/201.94 [968]~E(x9681,x9682)+E(f629(x9683,x9684,x9685,x9686,x9681),f629(x9683,x9684,x9685,x9686,x9682))
% 202.05/201.94 [969]~E(x9691,x9692)+E(f523(x9691,x9693,x9694,x9695,x9696),f523(x9692,x9693,x9694,x9695,x9696))
% 202.05/201.94 [970]~E(x9701,x9702)+E(f523(x9703,x9701,x9704,x9705,x9706),f523(x9703,x9702,x9704,x9705,x9706))
% 202.05/201.94 [971]~E(x9711,x9712)+E(f523(x9713,x9714,x9711,x9715,x9716),f523(x9713,x9714,x9712,x9715,x9716))
% 202.05/201.94 [972]~E(x9721,x9722)+E(f523(x9723,x9724,x9725,x9721,x9726),f523(x9723,x9724,x9725,x9722,x9726))
% 202.05/201.94 [973]~E(x9731,x9732)+E(f523(x9733,x9734,x9735,x9736,x9731),f523(x9733,x9734,x9735,x9736,x9732))
% 202.05/201.94 [974]~E(x9741,x9742)+E(f515(x9741,x9743,x9744,x9745),f515(x9742,x9743,x9744,x9745))
% 202.05/201.94 [975]~E(x9751,x9752)+E(f515(x9753,x9751,x9754,x9755),f515(x9753,x9752,x9754,x9755))
% 202.05/201.94 [976]~E(x9761,x9762)+E(f515(x9763,x9764,x9761,x9765),f515(x9763,x9764,x9762,x9765))
% 202.05/201.94 [977]~E(x9771,x9772)+E(f515(x9773,x9774,x9775,x9771),f515(x9773,x9774,x9775,x9772))
% 202.05/201.94 [978]~E(x9781,x9782)+E(f40(x9781),f40(x9782))
% 202.05/201.94 [979]~E(x9791,x9792)+E(f392(x9791,x9793,x9794),f392(x9792,x9793,x9794))
% 202.05/201.94 [980]~E(x9801,x9802)+E(f392(x9803,x9801,x9804),f392(x9803,x9802,x9804))
% 202.05/201.94 [981]~E(x9811,x9812)+E(f392(x9813,x9814,x9811),f392(x9813,x9814,x9812))
% 202.05/201.94 [982]~E(x9821,x9822)+E(f66(x9821,x9823,x9824),f66(x9822,x9823,x9824))
% 202.05/201.94 [983]~E(x9831,x9832)+E(f66(x9833,x9831,x9834),f66(x9833,x9832,x9834))
% 202.05/201.94 [984]~E(x9841,x9842)+E(f66(x9843,x9844,x9841),f66(x9843,x9844,x9842))
% 202.05/201.94 [985]~E(x9851,x9852)+E(f509(x9851,x9853,x9854,x9855,x9856),f509(x9852,x9853,x9854,x9855,x9856))
% 202.05/201.94 [986]~E(x9861,x9862)+E(f509(x9863,x9861,x9864,x9865,x9866),f509(x9863,x9862,x9864,x9865,x9866))
% 202.05/201.94 [987]~E(x9871,x9872)+E(f509(x9873,x9874,x9871,x9875,x9876),f509(x9873,x9874,x9872,x9875,x9876))
% 202.05/201.94 [988]~E(x9881,x9882)+E(f509(x9883,x9884,x9885,x9881,x9886),f509(x9883,x9884,x9885,x9882,x9886))
% 202.05/201.94 [989]~E(x9891,x9892)+E(f509(x9893,x9894,x9895,x9896,x9891),f509(x9893,x9894,x9895,x9896,x9892))
% 202.05/201.94 [990]~E(x9901,x9902)+E(f430(x9901,x9903,x9904),f430(x9902,x9903,x9904))
% 202.05/201.94 [991]~E(x9911,x9912)+E(f430(x9913,x9911,x9914),f430(x9913,x9912,x9914))
% 202.05/201.94 [992]~E(x9921,x9922)+E(f430(x9923,x9924,x9921),f430(x9923,x9924,x9922))
% 202.05/201.94 [993]~E(x9931,x9932)+E(f76(x9931,x9933,x9934,x9935),f76(x9932,x9933,x9934,x9935))
% 202.05/201.94 [994]~E(x9941,x9942)+E(f76(x9943,x9941,x9944,x9945),f76(x9943,x9942,x9944,x9945))
% 202.05/201.94 [995]~E(x9951,x9952)+E(f76(x9953,x9954,x9951,x9955),f76(x9953,x9954,x9952,x9955))
% 202.05/201.94 [996]~E(x9961,x9962)+E(f76(x9963,x9964,x9965,x9961),f76(x9963,x9964,x9965,x9962))
% 202.05/201.94 [997]~E(x9971,x9972)+E(f744(x9971,x9973,x9974),f744(x9972,x9973,x9974))
% 202.05/201.94 [998]~E(x9981,x9982)+E(f744(x9983,x9981,x9984),f744(x9983,x9982,x9984))
% 202.05/201.94 [999]~E(x9991,x9992)+E(f744(x9993,x9994,x9991),f744(x9993,x9994,x9992))
% 202.05/201.94 [1000]~E(x10001,x10002)+E(f888(x10001,x10003,x10004),f888(x10002,x10003,x10004))
% 202.05/201.94 [1001]~E(x10011,x10012)+E(f888(x10013,x10011,x10014),f888(x10013,x10012,x10014))
% 202.05/201.94 [1002]~E(x10021,x10022)+E(f888(x10023,x10024,x10021),f888(x10023,x10024,x10022))
% 202.05/201.94 [1003]~E(x10031,x10032)+E(f654(x10031,x10033),f654(x10032,x10033))
% 202.05/201.94 [1004]~E(x10041,x10042)+E(f654(x10043,x10041),f654(x10043,x10042))
% 202.05/201.94 [1005]~E(x10051,x10052)+E(f473(x10051,x10053,x10054,x10055),f473(x10052,x10053,x10054,x10055))
% 202.05/201.94 [1006]~E(x10061,x10062)+E(f473(x10063,x10061,x10064,x10065),f473(x10063,x10062,x10064,x10065))
% 202.05/201.94 [1007]~E(x10071,x10072)+E(f473(x10073,x10074,x10071,x10075),f473(x10073,x10074,x10072,x10075))
% 202.05/201.94 [1008]~E(x10081,x10082)+E(f473(x10083,x10084,x10085,x10081),f473(x10083,x10084,x10085,x10082))
% 202.05/201.94 [1009]~E(x10091,x10092)+E(f399(x10091,x10093),f399(x10092,x10093))
% 202.05/201.94 [1010]~E(x10101,x10102)+E(f399(x10103,x10101),f399(x10103,x10102))
% 202.05/201.94 [1011]~E(x10111,x10112)+E(f230(x10111,x10113,x10114),f230(x10112,x10113,x10114))
% 202.05/201.94 [1012]~E(x10121,x10122)+E(f230(x10123,x10121,x10124),f230(x10123,x10122,x10124))
% 202.05/201.94 [1013]~E(x10131,x10132)+E(f230(x10133,x10134,x10131),f230(x10133,x10134,x10132))
% 202.05/201.94 [1014]~E(x10141,x10142)+E(f360(x10141,x10143),f360(x10142,x10143))
% 202.05/201.94 [1015]~E(x10151,x10152)+E(f360(x10153,x10151),f360(x10153,x10152))
% 202.05/201.94 [1016]~E(x10161,x10162)+E(f248(x10161,x10163,x10164),f248(x10162,x10163,x10164))
% 202.05/201.94 [1017]~E(x10171,x10172)+E(f248(x10173,x10171,x10174),f248(x10173,x10172,x10174))
% 202.05/201.94 [1018]~E(x10181,x10182)+E(f248(x10183,x10184,x10181),f248(x10183,x10184,x10182))
% 202.05/201.94 [1019]~E(x10191,x10192)+E(f352(x10191,x10193,x10194),f352(x10192,x10193,x10194))
% 202.05/201.94 [1020]~E(x10201,x10202)+E(f352(x10203,x10201,x10204),f352(x10203,x10202,x10204))
% 202.05/201.94 [1021]~E(x10211,x10212)+E(f352(x10213,x10214,x10211),f352(x10213,x10214,x10212))
% 202.05/201.94 [1022]~E(x10221,x10222)+E(f768(x10221,x10223,x10224,x10225,x10226),f768(x10222,x10223,x10224,x10225,x10226))
% 202.05/201.94 [1023]~E(x10231,x10232)+E(f768(x10233,x10231,x10234,x10235,x10236),f768(x10233,x10232,x10234,x10235,x10236))
% 202.05/201.94 [1024]~E(x10241,x10242)+E(f768(x10243,x10244,x10241,x10245,x10246),f768(x10243,x10244,x10242,x10245,x10246))
% 202.05/201.94 [1025]~E(x10251,x10252)+E(f768(x10253,x10254,x10255,x10251,x10256),f768(x10253,x10254,x10255,x10252,x10256))
% 202.05/201.94 [1026]~E(x10261,x10262)+E(f768(x10263,x10264,x10265,x10266,x10261),f768(x10263,x10264,x10265,x10266,x10262))
% 202.05/201.94 [1027]~E(x10271,x10272)+E(f338(x10271,x10273),f338(x10272,x10273))
% 202.05/201.94 [1028]~E(x10281,x10282)+E(f338(x10283,x10281),f338(x10283,x10282))
% 202.05/201.94 [1029]~E(x10291,x10292)+E(f340(x10291,x10293),f340(x10292,x10293))
% 202.05/201.94 [1030]~E(x10301,x10302)+E(f340(x10303,x10301),f340(x10303,x10302))
% 202.05/201.94 [1031]~E(x10311,x10312)+E(f704(x10311,x10313,x10314),f704(x10312,x10313,x10314))
% 202.05/201.94 [1032]~E(x10321,x10322)+E(f704(x10323,x10321,x10324),f704(x10323,x10322,x10324))
% 202.05/201.94 [1033]~E(x10331,x10332)+E(f704(x10333,x10334,x10331),f704(x10333,x10334,x10332))
% 202.05/201.94 [1034]~E(x10341,x10342)+E(f731(x10341,x10343,x10344,x10345,x10346),f731(x10342,x10343,x10344,x10345,x10346))
% 202.05/201.94 [1035]~E(x10351,x10352)+E(f731(x10353,x10351,x10354,x10355,x10356),f731(x10353,x10352,x10354,x10355,x10356))
% 202.05/201.94 [1036]~E(x10361,x10362)+E(f731(x10363,x10364,x10361,x10365,x10366),f731(x10363,x10364,x10362,x10365,x10366))
% 202.05/201.94 [1037]~E(x10371,x10372)+E(f731(x10373,x10374,x10375,x10371,x10376),f731(x10373,x10374,x10375,x10372,x10376))
% 202.05/201.94 [1038]~E(x10381,x10382)+E(f731(x10383,x10384,x10385,x10386,x10381),f731(x10383,x10384,x10385,x10386,x10382))
% 202.05/201.94 [1039]~E(x10391,x10392)+E(f397(x10391,x10393),f397(x10392,x10393))
% 202.05/201.94 [1040]~E(x10401,x10402)+E(f397(x10403,x10401),f397(x10403,x10402))
% 202.05/201.94 [1041]~E(x10411,x10412)+E(f534(x10411,x10413,x10414,x10415,x10416),f534(x10412,x10413,x10414,x10415,x10416))
% 202.05/201.94 [1042]~E(x10421,x10422)+E(f534(x10423,x10421,x10424,x10425,x10426),f534(x10423,x10422,x10424,x10425,x10426))
% 202.05/201.94 [1043]~E(x10431,x10432)+E(f534(x10433,x10434,x10431,x10435,x10436),f534(x10433,x10434,x10432,x10435,x10436))
% 202.05/201.94 [1044]~E(x10441,x10442)+E(f534(x10443,x10444,x10445,x10441,x10446),f534(x10443,x10444,x10445,x10442,x10446))
% 202.05/201.94 [1045]~E(x10451,x10452)+E(f534(x10453,x10454,x10455,x10456,x10451),f534(x10453,x10454,x10455,x10456,x10452))
% 202.05/201.94 [1046]~E(x10461,x10462)+E(f655(x10461,x10463),f655(x10462,x10463))
% 202.05/201.94 [1047]~E(x10471,x10472)+E(f655(x10473,x10471),f655(x10473,x10472))
% 202.05/201.94 [1048]~E(x10481,x10482)+E(f536(x10481,x10483,x10484,x10485,x10486,x10487,x10488,x10489),f536(x10482,x10483,x10484,x10485,x10486,x10487,x10488,x10489))
% 202.05/201.94 [1049]~E(x10491,x10492)+E(f536(x10493,x10491,x10494,x10495,x10496,x10497,x10498,x10499),f536(x10493,x10492,x10494,x10495,x10496,x10497,x10498,x10499))
% 202.05/201.94 [1050]~E(x10501,x10502)+E(f536(x10503,x10504,x10501,x10505,x10506,x10507,x10508,x10509),f536(x10503,x10504,x10502,x10505,x10506,x10507,x10508,x10509))
% 202.05/201.94 [1051]~E(x10511,x10512)+E(f536(x10513,x10514,x10515,x10511,x10516,x10517,x10518,x10519),f536(x10513,x10514,x10515,x10512,x10516,x10517,x10518,x10519))
% 202.05/201.94 [1052]~E(x10521,x10522)+E(f536(x10523,x10524,x10525,x10526,x10521,x10527,x10528,x10529),f536(x10523,x10524,x10525,x10526,x10522,x10527,x10528,x10529))
% 202.05/201.94 [1053]~E(x10531,x10532)+E(f536(x10533,x10534,x10535,x10536,x10537,x10531,x10538,x10539),f536(x10533,x10534,x10535,x10536,x10537,x10532,x10538,x10539))
% 202.05/201.94 [1054]~E(x10541,x10542)+E(f536(x10543,x10544,x10545,x10546,x10547,x10548,x10541,x10549),f536(x10543,x10544,x10545,x10546,x10547,x10548,x10542,x10549))
% 202.05/201.94 [1055]~E(x10551,x10552)+E(f536(x10553,x10554,x10555,x10556,x10557,x10558,x10559,x10551),f536(x10553,x10554,x10555,x10556,x10557,x10558,x10559,x10552))
% 202.05/201.94 [1056]~E(x10561,x10562)+E(f770(x10561,x10563,x10564),f770(x10562,x10563,x10564))
% 202.05/201.94 [1057]~E(x10571,x10572)+E(f770(x10573,x10571,x10574),f770(x10573,x10572,x10574))
% 202.05/201.94 [1058]~E(x10581,x10582)+E(f770(x10583,x10584,x10581),f770(x10583,x10584,x10582))
% 202.05/201.94 [1059]~E(x10591,x10592)+E(f315(x10591,x10593),f315(x10592,x10593))
% 202.05/201.94 [1060]~E(x10601,x10602)+E(f315(x10603,x10601),f315(x10603,x10602))
% 202.05/201.94 [1061]~E(x10611,x10612)+E(f548(x10611,x10613,x10614,x10615,x10616,x10617),f548(x10612,x10613,x10614,x10615,x10616,x10617))
% 202.05/201.94 [1062]~E(x10621,x10622)+E(f548(x10623,x10621,x10624,x10625,x10626,x10627),f548(x10623,x10622,x10624,x10625,x10626,x10627))
% 202.05/201.94 [1063]~E(x10631,x10632)+E(f548(x10633,x10634,x10631,x10635,x10636,x10637),f548(x10633,x10634,x10632,x10635,x10636,x10637))
% 202.05/201.94 [1064]~E(x10641,x10642)+E(f548(x10643,x10644,x10645,x10641,x10646,x10647),f548(x10643,x10644,x10645,x10642,x10646,x10647))
% 202.05/201.94 [1065]~E(x10651,x10652)+E(f548(x10653,x10654,x10655,x10656,x10651,x10657),f548(x10653,x10654,x10655,x10656,x10652,x10657))
% 202.05/201.94 [1066]~E(x10661,x10662)+E(f548(x10663,x10664,x10665,x10666,x10667,x10661),f548(x10663,x10664,x10665,x10666,x10667,x10662))
% 202.05/201.94 [1067]~E(x10671,x10672)+E(f814(x10671,x10673,x10674,x10675,x10676),f814(x10672,x10673,x10674,x10675,x10676))
% 202.05/201.94 [1068]~E(x10681,x10682)+E(f814(x10683,x10681,x10684,x10685,x10686),f814(x10683,x10682,x10684,x10685,x10686))
% 202.05/201.94 [1069]~E(x10691,x10692)+E(f814(x10693,x10694,x10691,x10695,x10696),f814(x10693,x10694,x10692,x10695,x10696))
% 202.05/201.94 [1070]~E(x10701,x10702)+E(f814(x10703,x10704,x10705,x10701,x10706),f814(x10703,x10704,x10705,x10702,x10706))
% 202.05/201.94 [1071]~E(x10711,x10712)+E(f814(x10713,x10714,x10715,x10716,x10711),f814(x10713,x10714,x10715,x10716,x10712))
% 202.05/201.94 [1072]~E(x10721,x10722)+E(f563(x10721,x10723,x10724),f563(x10722,x10723,x10724))
% 202.05/201.94 [1073]~E(x10731,x10732)+E(f563(x10733,x10731,x10734),f563(x10733,x10732,x10734))
% 202.05/201.94 [1074]~E(x10741,x10742)+E(f563(x10743,x10744,x10741),f563(x10743,x10744,x10742))
% 202.05/201.94 [1075]~E(x10751,x10752)+E(f494(x10751),f494(x10752))
% 202.05/201.94 [1076]~E(x10761,x10762)+E(f863(x10761,x10763,x10764),f863(x10762,x10763,x10764))
% 202.05/201.94 [1077]~E(x10771,x10772)+E(f863(x10773,x10771,x10774),f863(x10773,x10772,x10774))
% 202.05/201.94 [1078]~E(x10781,x10782)+E(f863(x10783,x10784,x10781),f863(x10783,x10784,x10782))
% 202.05/201.94 [1079]~E(x10791,x10792)+E(f538(x10791,x10793,x10794),f538(x10792,x10793,x10794))
% 202.05/201.94 [1080]~E(x10801,x10802)+E(f538(x10803,x10801,x10804),f538(x10803,x10802,x10804))
% 202.05/201.94 [1081]~E(x10811,x10812)+E(f538(x10813,x10814,x10811),f538(x10813,x10814,x10812))
% 202.05/201.94 [1082]~E(x10821,x10822)+E(f435(x10821,x10823,x10824,x10825),f435(x10822,x10823,x10824,x10825))
% 202.05/201.94 [1083]~E(x10831,x10832)+E(f435(x10833,x10831,x10834,x10835),f435(x10833,x10832,x10834,x10835))
% 202.05/201.94 [1084]~E(x10841,x10842)+E(f435(x10843,x10844,x10841,x10845),f435(x10843,x10844,x10842,x10845))
% 202.05/201.94 [1085]~E(x10851,x10852)+E(f435(x10853,x10854,x10855,x10851),f435(x10853,x10854,x10855,x10852))
% 202.05/201.94 [1086]~E(x10861,x10862)+E(f361(x10861,x10863),f361(x10862,x10863))
% 202.05/201.94 [1087]~E(x10871,x10872)+E(f361(x10873,x10871),f361(x10873,x10872))
% 202.05/201.94 [1088]~E(x10881,x10882)+E(f755(x10881,x10883,x10884,x10885,x10886),f755(x10882,x10883,x10884,x10885,x10886))
% 202.05/201.94 [1089]~E(x10891,x10892)+E(f755(x10893,x10891,x10894,x10895,x10896),f755(x10893,x10892,x10894,x10895,x10896))
% 202.05/201.94 [1090]~E(x10901,x10902)+E(f755(x10903,x10904,x10901,x10905,x10906),f755(x10903,x10904,x10902,x10905,x10906))
% 202.05/201.94 [1091]~E(x10911,x10912)+E(f755(x10913,x10914,x10915,x10911,x10916),f755(x10913,x10914,x10915,x10912,x10916))
% 202.05/201.94 [1092]~E(x10921,x10922)+E(f755(x10923,x10924,x10925,x10926,x10921),f755(x10923,x10924,x10925,x10926,x10922))
% 202.05/201.94 [1093]~E(x10931,x10932)+E(f543(x10931,x10933),f543(x10932,x10933))
% 202.05/201.94 [1094]~E(x10941,x10942)+E(f543(x10943,x10941),f543(x10943,x10942))
% 202.05/201.94 [1095]~E(x10951,x10952)+E(f723(x10951,x10953),f723(x10952,x10953))
% 202.05/201.94 [1096]~E(x10961,x10962)+E(f723(x10963,x10961),f723(x10963,x10962))
% 202.05/201.94 [1097]~E(x10971,x10972)+E(f833(x10971,x10973,x10974,x10975,x10976,x10977,x10978,x10979),f833(x10972,x10973,x10974,x10975,x10976,x10977,x10978,x10979))
% 202.05/201.94 [1098]~E(x10981,x10982)+E(f833(x10983,x10981,x10984,x10985,x10986,x10987,x10988,x10989),f833(x10983,x10982,x10984,x10985,x10986,x10987,x10988,x10989))
% 202.05/201.94 [1099]~E(x10991,x10992)+E(f833(x10993,x10994,x10991,x10995,x10996,x10997,x10998,x10999),f833(x10993,x10994,x10992,x10995,x10996,x10997,x10998,x10999))
% 202.05/201.94 [1100]~E(x11001,x11002)+E(f833(x11003,x11004,x11005,x11001,x11006,x11007,x11008,x11009),f833(x11003,x11004,x11005,x11002,x11006,x11007,x11008,x11009))
% 202.05/201.94 [1101]~E(x11011,x11012)+E(f833(x11013,x11014,x11015,x11016,x11011,x11017,x11018,x11019),f833(x11013,x11014,x11015,x11016,x11012,x11017,x11018,x11019))
% 202.05/201.94 [1102]~E(x11021,x11022)+E(f833(x11023,x11024,x11025,x11026,x11027,x11021,x11028,x11029),f833(x11023,x11024,x11025,x11026,x11027,x11022,x11028,x11029))
% 202.05/201.94 [1103]~E(x11031,x11032)+E(f833(x11033,x11034,x11035,x11036,x11037,x11038,x11031,x11039),f833(x11033,x11034,x11035,x11036,x11037,x11038,x11032,x11039))
% 202.05/201.94 [1104]~E(x11041,x11042)+E(f833(x11043,x11044,x11045,x11046,x11047,x11048,x11049,x11041),f833(x11043,x11044,x11045,x11046,x11047,x11048,x11049,x11042))
% 202.05/201.94 [1105]~E(x11051,x11052)+E(f450(x11051,x11053,x11054,x11055),f450(x11052,x11053,x11054,x11055))
% 202.05/201.94 [1106]~E(x11061,x11062)+E(f450(x11063,x11061,x11064,x11065),f450(x11063,x11062,x11064,x11065))
% 202.05/201.94 [1107]~E(x11071,x11072)+E(f450(x11073,x11074,x11071,x11075),f450(x11073,x11074,x11072,x11075))
% 202.05/201.94 [1108]~E(x11081,x11082)+E(f450(x11083,x11084,x11085,x11081),f450(x11083,x11084,x11085,x11082))
% 202.05/201.94 [1109]~E(x11091,x11092)+E(f791(x11091,x11093),f791(x11092,x11093))
% 202.05/201.94 [1110]~E(x11101,x11102)+E(f791(x11103,x11101),f791(x11103,x11102))
% 202.05/201.94 [1111]~E(x11111,x11112)+E(f804(x11111,x11113,x11114,x11115,x11116,x11117),f804(x11112,x11113,x11114,x11115,x11116,x11117))
% 202.05/201.94 [1112]~E(x11121,x11122)+E(f804(x11123,x11121,x11124,x11125,x11126,x11127),f804(x11123,x11122,x11124,x11125,x11126,x11127))
% 202.05/201.94 [1113]~E(x11131,x11132)+E(f804(x11133,x11134,x11131,x11135,x11136,x11137),f804(x11133,x11134,x11132,x11135,x11136,x11137))
% 202.05/201.94 [1114]~E(x11141,x11142)+E(f804(x11143,x11144,x11145,x11141,x11146,x11147),f804(x11143,x11144,x11145,x11142,x11146,x11147))
% 202.05/201.94 [1115]~E(x11151,x11152)+E(f804(x11153,x11154,x11155,x11156,x11151,x11157),f804(x11153,x11154,x11155,x11156,x11152,x11157))
% 202.05/201.94 [1116]~E(x11161,x11162)+E(f804(x11163,x11164,x11165,x11166,x11167,x11161),f804(x11163,x11164,x11165,x11166,x11167,x11162))
% 202.05/201.94 [1117]~E(x11171,x11172)+E(f648(x11171,x11173,x11174),f648(x11172,x11173,x11174))
% 202.05/201.94 [1118]~E(x11181,x11182)+E(f648(x11183,x11181,x11184),f648(x11183,x11182,x11184))
% 202.05/201.94 [1119]~E(x11191,x11192)+E(f648(x11193,x11194,x11191),f648(x11193,x11194,x11192))
% 202.05/201.94 [1120]~E(x11201,x11202)+E(f695(x11201,x11203),f695(x11202,x11203))
% 202.05/201.94 [1121]~E(x11211,x11212)+E(f695(x11213,x11211),f695(x11213,x11212))
% 202.05/201.94 [1122]~E(x11221,x11222)+E(f528(x11221,x11223,x11224,x11225),f528(x11222,x11223,x11224,x11225))
% 202.05/201.94 [1123]~E(x11231,x11232)+E(f528(x11233,x11231,x11234,x11235),f528(x11233,x11232,x11234,x11235))
% 202.05/201.94 [1124]~E(x11241,x11242)+E(f528(x11243,x11244,x11241,x11245),f528(x11243,x11244,x11242,x11245))
% 202.05/201.94 [1125]~E(x11251,x11252)+E(f528(x11253,x11254,x11255,x11251),f528(x11253,x11254,x11255,x11252))
% 202.05/201.94 [1126]~E(x11261,x11262)+E(f150(x11261,x11263,x11264,x11265),f150(x11262,x11263,x11264,x11265))
% 202.05/201.94 [1127]~E(x11271,x11272)+E(f150(x11273,x11271,x11274,x11275),f150(x11273,x11272,x11274,x11275))
% 202.05/201.94 [1128]~E(x11281,x11282)+E(f150(x11283,x11284,x11281,x11285),f150(x11283,x11284,x11282,x11285))
% 202.05/201.94 [1129]~E(x11291,x11292)+E(f150(x11293,x11294,x11295,x11291),f150(x11293,x11294,x11295,x11292))
% 202.05/201.94 [1130]~E(x11301,x11302)+E(f293(x11301,x11303,x11304),f293(x11302,x11303,x11304))
% 202.05/201.94 [1131]~E(x11311,x11312)+E(f293(x11313,x11311,x11314),f293(x11313,x11312,x11314))
% 202.05/201.94 [1132]~E(x11321,x11322)+E(f293(x11323,x11324,x11321),f293(x11323,x11324,x11322))
% 202.05/201.94 [1133]~E(x11331,x11332)+E(f190(x11331,x11333,x11334,x11335),f190(x11332,x11333,x11334,x11335))
% 202.05/201.94 [1134]~E(x11341,x11342)+E(f190(x11343,x11341,x11344,x11345),f190(x11343,x11342,x11344,x11345))
% 202.05/201.94 [1135]~E(x11351,x11352)+E(f190(x11353,x11354,x11351,x11355),f190(x11353,x11354,x11352,x11355))
% 202.05/201.94 [1136]~E(x11361,x11362)+E(f190(x11363,x11364,x11365,x11361),f190(x11363,x11364,x11365,x11362))
% 202.05/201.94 [1137]~E(x11371,x11372)+E(f787(x11371,x11373,x11374,x11375,x11376),f787(x11372,x11373,x11374,x11375,x11376))
% 202.05/201.94 [1138]~E(x11381,x11382)+E(f787(x11383,x11381,x11384,x11385,x11386),f787(x11383,x11382,x11384,x11385,x11386))
% 202.05/201.94 [1139]~E(x11391,x11392)+E(f787(x11393,x11394,x11391,x11395,x11396),f787(x11393,x11394,x11392,x11395,x11396))
% 202.05/201.94 [1140]~E(x11401,x11402)+E(f787(x11403,x11404,x11405,x11401,x11406),f787(x11403,x11404,x11405,x11402,x11406))
% 202.05/201.94 [1141]~E(x11411,x11412)+E(f787(x11413,x11414,x11415,x11416,x11411),f787(x11413,x11414,x11415,x11416,x11412))
% 202.05/201.94 [1142]~E(x11421,x11422)+E(f500(x11421,x11423,x11424,x11425),f500(x11422,x11423,x11424,x11425))
% 202.05/201.94 [1143]~E(x11431,x11432)+E(f500(x11433,x11431,x11434,x11435),f500(x11433,x11432,x11434,x11435))
% 202.05/201.94 [1144]~E(x11441,x11442)+E(f500(x11443,x11444,x11441,x11445),f500(x11443,x11444,x11442,x11445))
% 202.05/201.94 [1145]~E(x11451,x11452)+E(f500(x11453,x11454,x11455,x11451),f500(x11453,x11454,x11455,x11452))
% 202.05/201.94 [1146]~E(x11461,x11462)+E(f562(x11461,x11463,x11464),f562(x11462,x11463,x11464))
% 202.05/201.94 [1147]~E(x11471,x11472)+E(f562(x11473,x11471,x11474),f562(x11473,x11472,x11474))
% 202.05/201.94 [1148]~E(x11481,x11482)+E(f562(x11483,x11484,x11481),f562(x11483,x11484,x11482))
% 202.05/201.94 [1149]~E(x11491,x11492)+E(f820(x11491,x11493,x11494,x11495,x11496),f820(x11492,x11493,x11494,x11495,x11496))
% 202.05/201.94 [1150]~E(x11501,x11502)+E(f820(x11503,x11501,x11504,x11505,x11506),f820(x11503,x11502,x11504,x11505,x11506))
% 202.05/201.94 [1151]~E(x11511,x11512)+E(f820(x11513,x11514,x11511,x11515,x11516),f820(x11513,x11514,x11512,x11515,x11516))
% 202.05/201.94 [1152]~E(x11521,x11522)+E(f820(x11523,x11524,x11525,x11521,x11526),f820(x11523,x11524,x11525,x11522,x11526))
% 202.05/201.94 [1153]~E(x11531,x11532)+E(f820(x11533,x11534,x11535,x11536,x11531),f820(x11533,x11534,x11535,x11536,x11532))
% 202.05/201.94 [1154]~E(x11541,x11542)+E(f365(x11541,x11543,x11544),f365(x11542,x11543,x11544))
% 202.05/201.94 [1155]~E(x11551,x11552)+E(f365(x11553,x11551,x11554),f365(x11553,x11552,x11554))
% 202.05/201.94 [1156]~E(x11561,x11562)+E(f365(x11563,x11564,x11561),f365(x11563,x11564,x11562))
% 202.05/201.94 [1157]~E(x11571,x11572)+E(f556(x11571,x11573,x11574),f556(x11572,x11573,x11574))
% 202.05/201.94 [1158]~E(x11581,x11582)+E(f556(x11583,x11581,x11584),f556(x11583,x11582,x11584))
% 202.05/201.94 [1159]~E(x11591,x11592)+E(f556(x11593,x11594,x11591),f556(x11593,x11594,x11592))
% 202.05/201.94 [1160]~E(x11601,x11602)+E(f694(x11601,x11603),f694(x11602,x11603))
% 202.05/201.94 [1161]~E(x11611,x11612)+E(f694(x11613,x11611),f694(x11613,x11612))
% 202.05/201.94 [1162]~E(x11621,x11622)+E(f249(x11621,x11623,x11624),f249(x11622,x11623,x11624))
% 202.05/201.94 [1163]~E(x11631,x11632)+E(f249(x11633,x11631,x11634),f249(x11633,x11632,x11634))
% 202.05/201.94 [1164]~E(x11641,x11642)+E(f249(x11643,x11644,x11641),f249(x11643,x11644,x11642))
% 202.05/201.94 [1165]~E(x11651,x11652)+E(f522(x11651,x11653,x11654,x11655),f522(x11652,x11653,x11654,x11655))
% 202.05/201.94 [1166]~E(x11661,x11662)+E(f522(x11663,x11661,x11664,x11665),f522(x11663,x11662,x11664,x11665))
% 202.05/201.94 [1167]~E(x11671,x11672)+E(f522(x11673,x11674,x11671,x11675),f522(x11673,x11674,x11672,x11675))
% 202.05/201.94 [1168]~E(x11681,x11682)+E(f522(x11683,x11684,x11685,x11681),f522(x11683,x11684,x11685,x11682))
% 202.05/201.94 [1169]~E(x11691,x11692)+E(f132(x11691,x11693),f132(x11692,x11693))
% 202.05/201.94 [1170]~E(x11701,x11702)+E(f132(x11703,x11701),f132(x11703,x11702))
% 202.05/201.94 [1171]~E(x11711,x11712)+E(f401(x11711,x11713),f401(x11712,x11713))
% 202.05/201.94 [1172]~E(x11721,x11722)+E(f401(x11723,x11721),f401(x11723,x11722))
% 202.05/201.94 [1173]~E(x11731,x11732)+E(f643(x11731,x11733,x11734,x11735,x11736),f643(x11732,x11733,x11734,x11735,x11736))
% 202.05/201.94 [1174]~E(x11741,x11742)+E(f643(x11743,x11741,x11744,x11745,x11746),f643(x11743,x11742,x11744,x11745,x11746))
% 202.05/201.94 [1175]~E(x11751,x11752)+E(f643(x11753,x11754,x11751,x11755,x11756),f643(x11753,x11754,x11752,x11755,x11756))
% 202.05/201.94 [1176]~E(x11761,x11762)+E(f643(x11763,x11764,x11765,x11761,x11766),f643(x11763,x11764,x11765,x11762,x11766))
% 202.05/201.94 [1177]~E(x11771,x11772)+E(f643(x11773,x11774,x11775,x11776,x11771),f643(x11773,x11774,x11775,x11776,x11772))
% 202.05/201.94 [1178]~E(x11781,x11782)+E(f674(x11781,x11783,x11784,x11785),f674(x11782,x11783,x11784,x11785))
% 202.05/201.94 [1179]~E(x11791,x11792)+E(f674(x11793,x11791,x11794,x11795),f674(x11793,x11792,x11794,x11795))
% 202.05/201.94 [1180]~E(x11801,x11802)+E(f674(x11803,x11804,x11801,x11805),f674(x11803,x11804,x11802,x11805))
% 202.05/201.94 [1181]~E(x11811,x11812)+E(f674(x11813,x11814,x11815,x11811),f674(x11813,x11814,x11815,x11812))
% 202.05/201.94 [1182]~E(x11821,x11822)+E(f764(x11821,x11823,x11824,x11825),f764(x11822,x11823,x11824,x11825))
% 202.05/201.94 [1183]~E(x11831,x11832)+E(f764(x11833,x11831,x11834,x11835),f764(x11833,x11832,x11834,x11835))
% 202.05/201.94 [1184]~E(x11841,x11842)+E(f764(x11843,x11844,x11841,x11845),f764(x11843,x11844,x11842,x11845))
% 202.05/201.94 [1185]~E(x11851,x11852)+E(f764(x11853,x11854,x11855,x11851),f764(x11853,x11854,x11855,x11852))
% 202.05/201.94 [1186]~E(x11861,x11862)+E(f561(x11861,x11863,x11864),f561(x11862,x11863,x11864))
% 202.05/201.94 [1187]~E(x11871,x11872)+E(f561(x11873,x11871,x11874),f561(x11873,x11872,x11874))
% 202.05/201.94 [1188]~E(x11881,x11882)+E(f561(x11883,x11884,x11881),f561(x11883,x11884,x11882))
% 202.05/201.94 [1189]~E(x11891,x11892)+E(f880(x11891,x11893,x11894),f880(x11892,x11893,x11894))
% 202.05/201.94 [1190]~E(x11901,x11902)+E(f880(x11903,x11901,x11904),f880(x11903,x11902,x11904))
% 202.05/201.94 [1191]~E(x11911,x11912)+E(f880(x11913,x11914,x11911),f880(x11913,x11914,x11912))
% 202.05/201.94 [1192]~E(x11921,x11922)+E(f19(x11921,x11923,x11924,x11925),f19(x11922,x11923,x11924,x11925))
% 202.05/201.94 [1193]~E(x11931,x11932)+E(f19(x11933,x11931,x11934,x11935),f19(x11933,x11932,x11934,x11935))
% 202.05/201.94 [1194]~E(x11941,x11942)+E(f19(x11943,x11944,x11941,x11945),f19(x11943,x11944,x11942,x11945))
% 202.05/201.94 [1195]~E(x11951,x11952)+E(f19(x11953,x11954,x11955,x11951),f19(x11953,x11954,x11955,x11952))
% 202.05/201.94 [1196]~E(x11961,x11962)+E(f468(x11961,x11963),f468(x11962,x11963))
% 202.05/201.94 [1197]~E(x11971,x11972)+E(f468(x11973,x11971),f468(x11973,x11972))
% 202.05/201.94 [1198]~E(x11981,x11982)+E(f210(x11981,x11983,x11984,x11985),f210(x11982,x11983,x11984,x11985))
% 202.05/201.94 [1199]~E(x11991,x11992)+E(f210(x11993,x11991,x11994,x11995),f210(x11993,x11992,x11994,x11995))
% 202.05/201.94 [1200]~E(x12001,x12002)+E(f210(x12003,x12004,x12001,x12005),f210(x12003,x12004,x12002,x12005))
% 202.05/201.94 [1201]~E(x12011,x12012)+E(f210(x12013,x12014,x12015,x12011),f210(x12013,x12014,x12015,x12012))
% 202.05/201.94 [1202]~E(x12021,x12022)+E(f298(x12021,x12023,x12024,x12025),f298(x12022,x12023,x12024,x12025))
% 202.05/201.94 [1203]~E(x12031,x12032)+E(f298(x12033,x12031,x12034,x12035),f298(x12033,x12032,x12034,x12035))
% 202.05/201.94 [1204]~E(x12041,x12042)+E(f298(x12043,x12044,x12041,x12045),f298(x12043,x12044,x12042,x12045))
% 202.05/201.94 [1205]~E(x12051,x12052)+E(f298(x12053,x12054,x12055,x12051),f298(x12053,x12054,x12055,x12052))
% 202.05/201.94 [1206]~E(x12061,x12062)+E(f801(x12061,x12063,x12064,x12065,x12066),f801(x12062,x12063,x12064,x12065,x12066))
% 202.05/201.94 [1207]~E(x12071,x12072)+E(f801(x12073,x12071,x12074,x12075,x12076),f801(x12073,x12072,x12074,x12075,x12076))
% 202.05/201.94 [1208]~E(x12081,x12082)+E(f801(x12083,x12084,x12081,x12085,x12086),f801(x12083,x12084,x12082,x12085,x12086))
% 202.05/201.94 [1209]~E(x12091,x12092)+E(f801(x12093,x12094,x12095,x12091,x12096),f801(x12093,x12094,x12095,x12092,x12096))
% 202.05/201.94 [1210]~E(x12101,x12102)+E(f801(x12103,x12104,x12105,x12106,x12101),f801(x12103,x12104,x12105,x12106,x12102))
% 202.05/201.94 [1211]~E(x12111,x12112)+E(f672(x12111,x12113,x12114,x12115,x12116),f672(x12112,x12113,x12114,x12115,x12116))
% 202.05/201.94 [1212]~E(x12121,x12122)+E(f672(x12123,x12121,x12124,x12125,x12126),f672(x12123,x12122,x12124,x12125,x12126))
% 202.05/201.94 [1213]~E(x12131,x12132)+E(f672(x12133,x12134,x12131,x12135,x12136),f672(x12133,x12134,x12132,x12135,x12136))
% 202.05/201.94 [1214]~E(x12141,x12142)+E(f672(x12143,x12144,x12145,x12141,x12146),f672(x12143,x12144,x12145,x12142,x12146))
% 202.05/201.94 [1215]~E(x12151,x12152)+E(f672(x12153,x12154,x12155,x12156,x12151),f672(x12153,x12154,x12155,x12156,x12152))
% 202.05/201.94 [1216]~E(x12161,x12162)+E(f199(x12161,x12163),f199(x12162,x12163))
% 202.05/201.94 [1217]~E(x12171,x12172)+E(f199(x12173,x12171),f199(x12173,x12172))
% 202.05/201.94 [1218]~E(x12181,x12182)+E(f805(x12181,x12183),f805(x12182,x12183))
% 202.05/201.94 [1219]~E(x12191,x12192)+E(f805(x12193,x12191),f805(x12193,x12192))
% 202.05/201.94 [1220]~E(x12201,x12202)+E(f129(x12201),f129(x12202))
% 202.05/201.94 [1221]~E(x12211,x12212)+E(f862(x12211,x12213,x12214),f862(x12212,x12213,x12214))
% 202.05/201.94 [1222]~E(x12221,x12222)+E(f862(x12223,x12221,x12224),f862(x12223,x12222,x12224))
% 202.05/201.94 [1223]~E(x12231,x12232)+E(f862(x12233,x12234,x12231),f862(x12233,x12234,x12232))
% 202.05/201.94 [1224]~E(x12241,x12242)+E(f446(x12241,x12243),f446(x12242,x12243))
% 202.05/201.94 [1225]~E(x12251,x12252)+E(f446(x12253,x12251),f446(x12253,x12252))
% 202.05/201.94 [1226]~E(x12261,x12262)+E(f58(x12261,x12263,x12264,x12265),f58(x12262,x12263,x12264,x12265))
% 202.05/201.94 [1227]~E(x12271,x12272)+E(f58(x12273,x12271,x12274,x12275),f58(x12273,x12272,x12274,x12275))
% 202.05/201.94 [1228]~E(x12281,x12282)+E(f58(x12283,x12284,x12281,x12285),f58(x12283,x12284,x12282,x12285))
% 202.05/201.94 [1229]~E(x12291,x12292)+E(f58(x12293,x12294,x12295,x12291),f58(x12293,x12294,x12295,x12292))
% 202.05/201.94 [1230]~E(x12301,x12302)+E(f881(x12301,x12303,x12304,x12305),f881(x12302,x12303,x12304,x12305))
% 202.05/201.94 [1231]~E(x12311,x12312)+E(f881(x12313,x12311,x12314,x12315),f881(x12313,x12312,x12314,x12315))
% 202.05/201.94 [1232]~E(x12321,x12322)+E(f881(x12323,x12324,x12321,x12325),f881(x12323,x12324,x12322,x12325))
% 202.05/201.94 [1233]~E(x12331,x12332)+E(f881(x12333,x12334,x12335,x12331),f881(x12333,x12334,x12335,x12332))
% 202.05/201.94 [1234]~E(x12341,x12342)+E(f635(x12341,x12343,x12344,x12345),f635(x12342,x12343,x12344,x12345))
% 202.05/201.94 [1235]~E(x12351,x12352)+E(f635(x12353,x12351,x12354,x12355),f635(x12353,x12352,x12354,x12355))
% 202.05/201.94 [1236]~E(x12361,x12362)+E(f635(x12363,x12364,x12361,x12365),f635(x12363,x12364,x12362,x12365))
% 202.05/201.94 [1237]~E(x12371,x12372)+E(f635(x12373,x12374,x12375,x12371),f635(x12373,x12374,x12375,x12372))
% 202.05/201.94 [1238]~E(x12381,x12382)+E(f344(x12381,x12383),f344(x12382,x12383))
% 202.05/201.94 [1239]~E(x12391,x12392)+E(f344(x12393,x12391),f344(x12393,x12392))
% 202.05/201.94 [1240]~E(x12401,x12402)+E(f647(x12401,x12403,x12404),f647(x12402,x12403,x12404))
% 202.05/201.94 [1241]~E(x12411,x12412)+E(f647(x12413,x12411,x12414),f647(x12413,x12412,x12414))
% 202.05/201.94 [1242]~E(x12421,x12422)+E(f647(x12423,x12424,x12421),f647(x12423,x12424,x12422))
% 202.05/201.94 [1243]~E(x12431,x12432)+E(f652(x12431,x12433),f652(x12432,x12433))
% 202.05/201.94 [1244]~E(x12441,x12442)+E(f652(x12443,x12441),f652(x12443,x12442))
% 202.05/201.94 [1245]~E(x12451,x12452)+E(f612(x12451,x12453),f612(x12452,x12453))
% 202.05/201.94 [1246]~E(x12461,x12462)+E(f612(x12463,x12461),f612(x12463,x12462))
% 202.05/201.94 [1247]~E(x12471,x12472)+E(f431(x12471,x12473,x12474),f431(x12472,x12473,x12474))
% 202.05/201.94 [1248]~E(x12481,x12482)+E(f431(x12483,x12481,x12484),f431(x12483,x12482,x12484))
% 202.05/201.94 [1249]~E(x12491,x12492)+E(f431(x12493,x12494,x12491),f431(x12493,x12494,x12492))
% 202.05/201.94 [1250]~E(x12501,x12502)+E(f297(x12501,x12503,x12504),f297(x12502,x12503,x12504))
% 202.05/201.94 [1251]~E(x12511,x12512)+E(f297(x12513,x12511,x12514),f297(x12513,x12512,x12514))
% 202.05/201.94 [1252]~E(x12521,x12522)+E(f297(x12523,x12524,x12521),f297(x12523,x12524,x12522))
% 202.05/201.94 [1253]~E(x12531,x12532)+E(f237(x12531,x12533),f237(x12532,x12533))
% 202.05/201.94 [1254]~E(x12541,x12542)+E(f237(x12543,x12541),f237(x12543,x12542))
% 202.05/201.94 [1255]~E(x12551,x12552)+E(f270(x12551,x12553,x12554,x12555),f270(x12552,x12553,x12554,x12555))
% 202.05/201.94 [1256]~E(x12561,x12562)+E(f270(x12563,x12561,x12564,x12565),f270(x12563,x12562,x12564,x12565))
% 202.05/201.94 [1257]~E(x12571,x12572)+E(f270(x12573,x12574,x12571,x12575),f270(x12573,x12574,x12572,x12575))
% 202.05/201.94 [1258]~E(x12581,x12582)+E(f270(x12583,x12584,x12585,x12581),f270(x12583,x12584,x12585,x12582))
% 202.05/201.94 [1259]~E(x12591,x12592)+E(f721(x12591,x12593),f721(x12592,x12593))
% 202.05/201.94 [1260]~E(x12601,x12602)+E(f721(x12603,x12601),f721(x12603,x12602))
% 202.05/201.94 [1261]~E(x12611,x12612)+E(f640(x12611,x12613,x12614,x12615),f640(x12612,x12613,x12614,x12615))
% 202.05/201.94 [1262]~E(x12621,x12622)+E(f640(x12623,x12621,x12624,x12625),f640(x12623,x12622,x12624,x12625))
% 202.05/201.94 [1263]~E(x12631,x12632)+E(f640(x12633,x12634,x12631,x12635),f640(x12633,x12634,x12632,x12635))
% 202.05/201.94 [1264]~E(x12641,x12642)+E(f640(x12643,x12644,x12645,x12641),f640(x12643,x12644,x12645,x12642))
% 202.05/201.94 [1265]~E(x12651,x12652)+E(f576(x12651,x12653),f576(x12652,x12653))
% 202.05/201.94 [1266]~E(x12661,x12662)+E(f576(x12663,x12661),f576(x12663,x12662))
% 202.05/201.94 [1267]~E(x12671,x12672)+E(f789(x12671),f789(x12672))
% 202.05/201.94 [1268]~E(x12681,x12682)+E(f443(x12681,x12683,x12684,x12685),f443(x12682,x12683,x12684,x12685))
% 202.05/201.94 [1269]~E(x12691,x12692)+E(f443(x12693,x12691,x12694,x12695),f443(x12693,x12692,x12694,x12695))
% 202.05/201.94 [1270]~E(x12701,x12702)+E(f443(x12703,x12704,x12701,x12705),f443(x12703,x12704,x12702,x12705))
% 202.05/201.94 [1271]~E(x12711,x12712)+E(f443(x12713,x12714,x12715,x12711),f443(x12713,x12714,x12715,x12712))
% 202.05/201.94 [1272]~E(x12721,x12722)+E(f659(x12721,x12723),f659(x12722,x12723))
% 202.05/201.94 [1273]~E(x12731,x12732)+E(f659(x12733,x12731),f659(x12733,x12732))
% 202.05/201.94 [1274]~E(x12741,x12742)+E(f822(x12741,x12743,x12744),f822(x12742,x12743,x12744))
% 202.05/201.94 [1275]~E(x12751,x12752)+E(f822(x12753,x12751,x12754),f822(x12753,x12752,x12754))
% 202.05/201.94 [1276]~E(x12761,x12762)+E(f822(x12763,x12764,x12761),f822(x12763,x12764,x12762))
% 202.05/201.94 [1277]~E(x12771,x12772)+E(f792(x12771,x12773),f792(x12772,x12773))
% 202.05/201.94 [1278]~E(x12781,x12782)+E(f792(x12783,x12781),f792(x12783,x12782))
% 202.05/201.94 [1279]~E(x12791,x12792)+E(f592(x12791,x12793,x12794,x12795),f592(x12792,x12793,x12794,x12795))
% 202.05/201.94 [1280]~E(x12801,x12802)+E(f592(x12803,x12801,x12804,x12805),f592(x12803,x12802,x12804,x12805))
% 202.05/201.94 [1281]~E(x12811,x12812)+E(f592(x12813,x12814,x12811,x12815),f592(x12813,x12814,x12812,x12815))
% 202.05/201.94 [1282]~E(x12821,x12822)+E(f592(x12823,x12824,x12825,x12821),f592(x12823,x12824,x12825,x12822))
% 202.05/201.94 [1283]~E(x12831,x12832)+E(f244(x12831,x12833,x12834),f244(x12832,x12833,x12834))
% 202.05/201.94 [1284]~E(x12841,x12842)+E(f244(x12843,x12841,x12844),f244(x12843,x12842,x12844))
% 202.05/201.94 [1285]~E(x12851,x12852)+E(f244(x12853,x12854,x12851),f244(x12853,x12854,x12852))
% 202.05/201.94 [1286]~E(x12861,x12862)+E(f682(x12861,x12863,x12864),f682(x12862,x12863,x12864))
% 202.05/201.94 [1287]~E(x12871,x12872)+E(f682(x12873,x12871,x12874),f682(x12873,x12872,x12874))
% 202.05/201.94 [1288]~E(x12881,x12882)+E(f682(x12883,x12884,x12881),f682(x12883,x12884,x12882))
% 202.05/201.94 [1289]~E(x12891,x12892)+E(f294(x12891,x12893,x12894),f294(x12892,x12893,x12894))
% 202.05/201.94 [1290]~E(x12901,x12902)+E(f294(x12903,x12901,x12904),f294(x12903,x12902,x12904))
% 202.05/201.94 [1291]~E(x12911,x12912)+E(f294(x12913,x12914,x12911),f294(x12913,x12914,x12912))
% 202.05/201.94 [1292]~E(x12921,x12922)+E(f510(x12921,x12923,x12924,x12925),f510(x12922,x12923,x12924,x12925))
% 202.05/201.94 [1293]~E(x12931,x12932)+E(f510(x12933,x12931,x12934,x12935),f510(x12933,x12932,x12934,x12935))
% 202.05/201.94 [1294]~E(x12941,x12942)+E(f510(x12943,x12944,x12941,x12945),f510(x12943,x12944,x12942,x12945))
% 202.05/201.94 [1295]~E(x12951,x12952)+E(f510(x12953,x12954,x12955,x12951),f510(x12953,x12954,x12955,x12952))
% 202.05/201.94 [1296]~E(x12961,x12962)+E(f692(x12961,x12963,x12964),f692(x12962,x12963,x12964))
% 202.05/201.94 [1297]~E(x12971,x12972)+E(f692(x12973,x12971,x12974),f692(x12973,x12972,x12974))
% 202.05/201.94 [1298]~E(x12981,x12982)+E(f692(x12983,x12984,x12981),f692(x12983,x12984,x12982))
% 202.05/201.94 [1299]~E(x12991,x12992)+E(f878(x12991,x12993),f878(x12992,x12993))
% 202.05/201.94 [1300]~E(x13001,x13002)+E(f878(x13003,x13001),f878(x13003,x13002))
% 202.05/201.94 [1301]~E(x13011,x13012)+E(f226(x13011,x13013,x13014,x13015,x13016),f226(x13012,x13013,x13014,x13015,x13016))
% 202.05/201.94 [1302]~E(x13021,x13022)+E(f226(x13023,x13021,x13024,x13025,x13026),f226(x13023,x13022,x13024,x13025,x13026))
% 202.05/201.94 [1303]~E(x13031,x13032)+E(f226(x13033,x13034,x13031,x13035,x13036),f226(x13033,x13034,x13032,x13035,x13036))
% 202.05/201.94 [1304]~E(x13041,x13042)+E(f226(x13043,x13044,x13045,x13041,x13046),f226(x13043,x13044,x13045,x13042,x13046))
% 202.05/201.94 [1305]~E(x13051,x13052)+E(f226(x13053,x13054,x13055,x13056,x13051),f226(x13053,x13054,x13055,x13056,x13052))
% 202.05/201.94 [1306]~E(x13061,x13062)+E(f776(x13061,x13063,x13064,x13065,x13066),f776(x13062,x13063,x13064,x13065,x13066))
% 202.05/201.94 [1307]~E(x13071,x13072)+E(f776(x13073,x13071,x13074,x13075,x13076),f776(x13073,x13072,x13074,x13075,x13076))
% 202.05/201.94 [1308]~E(x13081,x13082)+E(f776(x13083,x13084,x13081,x13085,x13086),f776(x13083,x13084,x13082,x13085,x13086))
% 202.05/201.94 [1309]~E(x13091,x13092)+E(f776(x13093,x13094,x13095,x13091,x13096),f776(x13093,x13094,x13095,x13092,x13096))
% 202.05/201.94 [1310]~E(x13101,x13102)+E(f776(x13103,x13104,x13105,x13106,x13101),f776(x13103,x13104,x13105,x13106,x13102))
% 202.05/201.94 [1311]~E(x13111,x13112)+E(f271(x13111,x13113),f271(x13112,x13113))
% 202.05/201.94 [1312]~E(x13121,x13122)+E(f271(x13123,x13121),f271(x13123,x13122))
% 202.05/201.94 [1313]~E(x13131,x13132)+E(f218(x13131,x13133),f218(x13132,x13133))
% 202.05/201.94 [1314]~E(x13141,x13142)+E(f218(x13143,x13141),f218(x13143,x13142))
% 202.05/201.94 [1315]~E(x13151,x13152)+E(f272(x13151,x13153,x13154,x13155),f272(x13152,x13153,x13154,x13155))
% 202.05/201.94 [1316]~E(x13161,x13162)+E(f272(x13163,x13161,x13164,x13165),f272(x13163,x13162,x13164,x13165))
% 202.05/201.94 [1317]~E(x13171,x13172)+E(f272(x13173,x13174,x13171,x13175),f272(x13173,x13174,x13172,x13175))
% 202.05/201.94 [1318]~E(x13181,x13182)+E(f272(x13183,x13184,x13185,x13181),f272(x13183,x13184,x13185,x13182))
% 202.05/201.94 [1319]~E(x13191,x13192)+E(f815(x13191,x13193,x13194),f815(x13192,x13193,x13194))
% 202.05/201.94 [1320]~E(x13201,x13202)+E(f815(x13203,x13201,x13204),f815(x13203,x13202,x13204))
% 202.05/201.94 [1321]~E(x13211,x13212)+E(f815(x13213,x13214,x13211),f815(x13213,x13214,x13212))
% 202.05/201.94 [1322]~E(x13221,x13222)+E(f653(x13221,x13223,x13224,x13225),f653(x13222,x13223,x13224,x13225))
% 202.05/201.94 [1323]~E(x13231,x13232)+E(f653(x13233,x13231,x13234,x13235),f653(x13233,x13232,x13234,x13235))
% 202.05/201.94 [1324]~E(x13241,x13242)+E(f653(x13243,x13244,x13241,x13245),f653(x13243,x13244,x13242,x13245))
% 202.05/201.94 [1325]~E(x13251,x13252)+E(f653(x13253,x13254,x13255,x13251),f653(x13253,x13254,x13255,x13252))
% 202.05/201.94 [1326]~E(x13261,x13262)+E(f457(x13261,x13263,x13264,x13265,x13266),f457(x13262,x13263,x13264,x13265,x13266))
% 202.05/201.94 [1327]~E(x13271,x13272)+E(f457(x13273,x13271,x13274,x13275,x13276),f457(x13273,x13272,x13274,x13275,x13276))
% 202.05/201.94 [1328]~E(x13281,x13282)+E(f457(x13283,x13284,x13281,x13285,x13286),f457(x13283,x13284,x13282,x13285,x13286))
% 202.05/201.94 [1329]~E(x13291,x13292)+E(f457(x13293,x13294,x13295,x13291,x13296),f457(x13293,x13294,x13295,x13292,x13296))
% 202.05/201.94 [1330]~E(x13301,x13302)+E(f457(x13303,x13304,x13305,x13306,x13301),f457(x13303,x13304,x13305,x13306,x13302))
% 202.05/201.94 [1331]~E(x13311,x13312)+E(f496(x13311,x13313,x13314,x13315),f496(x13312,x13313,x13314,x13315))
% 202.05/201.94 [1332]~E(x13321,x13322)+E(f496(x13323,x13321,x13324,x13325),f496(x13323,x13322,x13324,x13325))
% 202.05/201.94 [1333]~E(x13331,x13332)+E(f496(x13333,x13334,x13331,x13335),f496(x13333,x13334,x13332,x13335))
% 202.05/201.94 [1334]~E(x13341,x13342)+E(f496(x13343,x13344,x13345,x13341),f496(x13343,x13344,x13345,x13342))
% 202.05/201.94 [1335]~E(x13351,x13352)+E(f369(x13351,x13353,x13354),f369(x13352,x13353,x13354))
% 202.05/201.94 [1336]~E(x13361,x13362)+E(f369(x13363,x13361,x13364),f369(x13363,x13362,x13364))
% 202.05/201.94 [1337]~E(x13371,x13372)+E(f369(x13373,x13374,x13371),f369(x13373,x13374,x13372))
% 202.05/201.94 [1338]~E(x13381,x13382)+E(f638(x13381,x13383,x13384,x13385,x13386,x13387),f638(x13382,x13383,x13384,x13385,x13386,x13387))
% 202.05/201.94 [1339]~E(x13391,x13392)+E(f638(x13393,x13391,x13394,x13395,x13396,x13397),f638(x13393,x13392,x13394,x13395,x13396,x13397))
% 202.05/201.94 [1340]~E(x13401,x13402)+E(f638(x13403,x13404,x13401,x13405,x13406,x13407),f638(x13403,x13404,x13402,x13405,x13406,x13407))
% 202.05/201.94 [1341]~E(x13411,x13412)+E(f638(x13413,x13414,x13415,x13411,x13416,x13417),f638(x13413,x13414,x13415,x13412,x13416,x13417))
% 202.05/201.94 [1342]~E(x13421,x13422)+E(f638(x13423,x13424,x13425,x13426,x13421,x13427),f638(x13423,x13424,x13425,x13426,x13422,x13427))
% 202.05/201.94 [1343]~E(x13431,x13432)+E(f638(x13433,x13434,x13435,x13436,x13437,x13431),f638(x13433,x13434,x13435,x13436,x13437,x13432))
% 202.05/201.94 [1344]~E(x13441,x13442)+E(f146(x13441,x13443),f146(x13442,x13443))
% 202.05/201.94 [1345]~E(x13451,x13452)+E(f146(x13453,x13451),f146(x13453,x13452))
% 202.05/201.94 [1346]~E(x13461,x13462)+E(f529(x13461,x13463,x13464,x13465,x13466,x13467),f529(x13462,x13463,x13464,x13465,x13466,x13467))
% 202.05/201.94 [1347]~E(x13471,x13472)+E(f529(x13473,x13471,x13474,x13475,x13476,x13477),f529(x13473,x13472,x13474,x13475,x13476,x13477))
% 202.05/201.94 [1348]~E(x13481,x13482)+E(f529(x13483,x13484,x13481,x13485,x13486,x13487),f529(x13483,x13484,x13482,x13485,x13486,x13487))
% 202.05/201.94 [1349]~E(x13491,x13492)+E(f529(x13493,x13494,x13495,x13491,x13496,x13497),f529(x13493,x13494,x13495,x13492,x13496,x13497))
% 202.05/201.94 [1350]~E(x13501,x13502)+E(f529(x13503,x13504,x13505,x13506,x13501,x13507),f529(x13503,x13504,x13505,x13506,x13502,x13507))
% 202.05/201.94 [1351]~E(x13511,x13512)+E(f529(x13513,x13514,x13515,x13516,x13517,x13511),f529(x13513,x13514,x13515,x13516,x13517,x13512))
% 202.05/201.94 [1352]~E(x13521,x13522)+E(f495(x13521),f495(x13522))
% 202.05/201.94 [1353]~E(x13531,x13532)+E(f437(x13531,x13533,x13534,x13535),f437(x13532,x13533,x13534,x13535))
% 202.05/201.94 [1354]~E(x13541,x13542)+E(f437(x13543,x13541,x13544,x13545),f437(x13543,x13542,x13544,x13545))
% 202.05/201.94 [1355]~E(x13551,x13552)+E(f437(x13553,x13554,x13551,x13555),f437(x13553,x13554,x13552,x13555))
% 202.05/201.94 [1356]~E(x13561,x13562)+E(f437(x13563,x13564,x13565,x13561),f437(x13563,x13564,x13565,x13562))
% 202.05/201.94 [1357]~E(x13571,x13572)+E(f677(x13571,x13573,x13574,x13575),f677(x13572,x13573,x13574,x13575))
% 202.05/201.94 [1358]~E(x13581,x13582)+E(f677(x13583,x13581,x13584,x13585),f677(x13583,x13582,x13584,x13585))
% 202.05/201.94 [1359]~E(x13591,x13592)+E(f677(x13593,x13594,x13591,x13595),f677(x13593,x13594,x13592,x13595))
% 202.05/201.94 [1360]~E(x13601,x13602)+E(f677(x13603,x13604,x13605,x13601),f677(x13603,x13604,x13605,x13602))
% 202.05/201.94 [1361]~E(x13611,x13612)+E(f373(x13611,x13613,x13614),f373(x13612,x13613,x13614))
% 202.05/201.94 [1362]~E(x13621,x13622)+E(f373(x13623,x13621,x13624),f373(x13623,x13622,x13624))
% 202.05/201.94 [1363]~E(x13631,x13632)+E(f373(x13633,x13634,x13631),f373(x13633,x13634,x13632))
% 202.05/201.94 [1364]~E(x13641,x13642)+E(f590(x13641,x13643,x13644),f590(x13642,x13643,x13644))
% 202.05/201.94 [1365]~E(x13651,x13652)+E(f590(x13653,x13651,x13654),f590(x13653,x13652,x13654))
% 202.05/201.94 [1366]~E(x13661,x13662)+E(f590(x13663,x13664,x13661),f590(x13663,x13664,x13662))
% 202.05/201.94 [1367]~E(x13671,x13672)+E(f223(x13671,x13673,x13674,x13675,x13676),f223(x13672,x13673,x13674,x13675,x13676))
% 202.05/201.94 [1368]~E(x13681,x13682)+E(f223(x13683,x13681,x13684,x13685,x13686),f223(x13683,x13682,x13684,x13685,x13686))
% 202.05/201.94 [1369]~E(x13691,x13692)+E(f223(x13693,x13694,x13691,x13695,x13696),f223(x13693,x13694,x13692,x13695,x13696))
% 202.05/201.94 [1370]~E(x13701,x13702)+E(f223(x13703,x13704,x13705,x13701,x13706),f223(x13703,x13704,x13705,x13702,x13706))
% 202.05/201.94 [1371]~E(x13711,x13712)+E(f223(x13713,x13714,x13715,x13716,x13711),f223(x13713,x13714,x13715,x13716,x13712))
% 202.05/201.94 [1372]~E(x13721,x13722)+E(f761(x13721,x13723,x13724),f761(x13722,x13723,x13724))
% 202.05/201.94 [1373]~E(x13731,x13732)+E(f761(x13733,x13731,x13734),f761(x13733,x13732,x13734))
% 202.05/201.94 [1374]~E(x13741,x13742)+E(f761(x13743,x13744,x13741),f761(x13743,x13744,x13742))
% 202.05/201.94 [1375]~E(x13751,x13752)+E(f180(x13751),f180(x13752))
% 202.05/201.94 [1376]~E(x13761,x13762)+E(f330(x13761,x13763,x13764,x13765),f330(x13762,x13763,x13764,x13765))
% 202.05/201.94 [1377]~E(x13771,x13772)+E(f330(x13773,x13771,x13774,x13775),f330(x13773,x13772,x13774,x13775))
% 202.05/201.94 [1378]~E(x13781,x13782)+E(f330(x13783,x13784,x13781,x13785),f330(x13783,x13784,x13782,x13785))
% 202.05/201.94 [1379]~E(x13791,x13792)+E(f330(x13793,x13794,x13795,x13791),f330(x13793,x13794,x13795,x13792))
% 202.05/201.94 [1380]~E(x13801,x13802)+E(f184(x13801,x13803,x13804),f184(x13802,x13803,x13804))
% 202.05/201.94 [1381]~E(x13811,x13812)+E(f184(x13813,x13811,x13814),f184(x13813,x13812,x13814))
% 202.05/201.94 [1382]~E(x13821,x13822)+E(f184(x13823,x13824,x13821),f184(x13823,x13824,x13822))
% 202.05/201.94 [1383]~E(x13831,x13832)+E(f421(x13831,x13833,x13834,x13835,x13836),f421(x13832,x13833,x13834,x13835,x13836))
% 202.05/201.94 [1384]~E(x13841,x13842)+E(f421(x13843,x13841,x13844,x13845,x13846),f421(x13843,x13842,x13844,x13845,x13846))
% 202.05/201.94 [1385]~E(x13851,x13852)+E(f421(x13853,x13854,x13851,x13855,x13856),f421(x13853,x13854,x13852,x13855,x13856))
% 202.05/201.94 [1386]~E(x13861,x13862)+E(f421(x13863,x13864,x13865,x13861,x13866),f421(x13863,x13864,x13865,x13862,x13866))
% 202.05/201.94 [1387]~E(x13871,x13872)+E(f421(x13873,x13874,x13875,x13876,x13871),f421(x13873,x13874,x13875,x13876,x13872))
% 202.05/201.94 [1388]~E(x13881,x13882)+E(f463(x13881,x13883,x13884,x13885,x13886),f463(x13882,x13883,x13884,x13885,x13886))
% 202.05/201.94 [1389]~E(x13891,x13892)+E(f463(x13893,x13891,x13894,x13895,x13896),f463(x13893,x13892,x13894,x13895,x13896))
% 202.05/201.94 [1390]~E(x13901,x13902)+E(f463(x13903,x13904,x13901,x13905,x13906),f463(x13903,x13904,x13902,x13905,x13906))
% 202.05/201.94 [1391]~E(x13911,x13912)+E(f463(x13913,x13914,x13915,x13911,x13916),f463(x13913,x13914,x13915,x13912,x13916))
% 202.05/201.94 [1392]~E(x13921,x13922)+E(f463(x13923,x13924,x13925,x13926,x13921),f463(x13923,x13924,x13925,x13926,x13922))
% 202.05/201.94 [1393]~E(x13931,x13932)+E(f451(x13931,x13933,x13934,x13935),f451(x13932,x13933,x13934,x13935))
% 202.05/201.94 [1394]~E(x13941,x13942)+E(f451(x13943,x13941,x13944,x13945),f451(x13943,x13942,x13944,x13945))
% 202.05/201.94 [1395]~E(x13951,x13952)+E(f451(x13953,x13954,x13951,x13955),f451(x13953,x13954,x13952,x13955))
% 202.05/201.94 [1396]~E(x13961,x13962)+E(f451(x13963,x13964,x13965,x13961),f451(x13963,x13964,x13965,x13962))
% 202.05/201.94 [1397]~E(x13971,x13972)+E(f498(x13971,x13973,x13974,x13975,x13976),f498(x13972,x13973,x13974,x13975,x13976))
% 202.05/201.94 [1398]~E(x13981,x13982)+E(f498(x13983,x13981,x13984,x13985,x13986),f498(x13983,x13982,x13984,x13985,x13986))
% 202.05/201.94 [1399]~E(x13991,x13992)+E(f498(x13993,x13994,x13991,x13995,x13996),f498(x13993,x13994,x13992,x13995,x13996))
% 202.05/201.94 [1400]~E(x14001,x14002)+E(f498(x14003,x14004,x14005,x14001,x14006),f498(x14003,x14004,x14005,x14002,x14006))
% 202.05/201.94 [1401]~E(x14011,x14012)+E(f498(x14013,x14014,x14015,x14016,x14011),f498(x14013,x14014,x14015,x14016,x14012))
% 202.05/201.94 [1402]~E(x14021,x14022)+E(f784(x14021,x14023,x14024,x14025),f784(x14022,x14023,x14024,x14025))
% 202.05/201.94 [1403]~E(x14031,x14032)+E(f784(x14033,x14031,x14034,x14035),f784(x14033,x14032,x14034,x14035))
% 202.05/201.94 [1404]~E(x14041,x14042)+E(f784(x14043,x14044,x14041,x14045),f784(x14043,x14044,x14042,x14045))
% 202.05/201.94 [1405]~E(x14051,x14052)+E(f784(x14053,x14054,x14055,x14051),f784(x14053,x14054,x14055,x14052))
% 202.05/201.94 [1406]~E(x14061,x14062)+E(f709(x14061,x14063),f709(x14062,x14063))
% 202.05/201.94 [1407]~E(x14071,x14072)+E(f709(x14073,x14071),f709(x14073,x14072))
% 202.05/201.94 [1408]~E(x14081,x14082)+E(f413(x14081,x14083,x14084,x14085),f413(x14082,x14083,x14084,x14085))
% 202.05/201.94 [1409]~E(x14091,x14092)+E(f413(x14093,x14091,x14094,x14095),f413(x14093,x14092,x14094,x14095))
% 202.05/201.94 [1410]~E(x14101,x14102)+E(f413(x14103,x14104,x14101,x14105),f413(x14103,x14104,x14102,x14105))
% 202.05/201.94 [1411]~E(x14111,x14112)+E(f413(x14113,x14114,x14115,x14111),f413(x14113,x14114,x14115,x14112))
% 202.05/201.94 [1412]~E(x14121,x14122)+E(f883(x14121,x14123,x14124,x14125,x14126),f883(x14122,x14123,x14124,x14125,x14126))
% 202.05/201.94 [1413]~E(x14131,x14132)+E(f883(x14133,x14131,x14134,x14135,x14136),f883(x14133,x14132,x14134,x14135,x14136))
% 202.05/201.94 [1414]~E(x14141,x14142)+E(f883(x14143,x14144,x14141,x14145,x14146),f883(x14143,x14144,x14142,x14145,x14146))
% 202.05/201.94 [1415]~E(x14151,x14152)+E(f883(x14153,x14154,x14155,x14151,x14156),f883(x14153,x14154,x14155,x14152,x14156))
% 202.05/201.94 [1416]~E(x14161,x14162)+E(f883(x14163,x14164,x14165,x14166,x14161),f883(x14163,x14164,x14165,x14166,x14162))
% 202.05/201.94 [1417]~E(x14171,x14172)+E(f621(x14171,x14173,x14174,x14175),f621(x14172,x14173,x14174,x14175))
% 202.05/201.94 [1418]~E(x14181,x14182)+E(f621(x14183,x14181,x14184,x14185),f621(x14183,x14182,x14184,x14185))
% 202.05/201.94 [1419]~E(x14191,x14192)+E(f621(x14193,x14194,x14191,x14195),f621(x14193,x14194,x14192,x14195))
% 202.05/201.94 [1420]~E(x14201,x14202)+E(f621(x14203,x14204,x14205,x14201),f621(x14203,x14204,x14205,x14202))
% 202.05/201.94 [1421]~E(x14211,x14212)+E(f61(x14211,x14213,x14214),f61(x14212,x14213,x14214))
% 202.05/201.94 [1422]~E(x14221,x14222)+E(f61(x14223,x14221,x14224),f61(x14223,x14222,x14224))
% 202.05/201.94 [1423]~E(x14231,x14232)+E(f61(x14233,x14234,x14231),f61(x14233,x14234,x14232))
% 202.05/201.94 [1424]~E(x14241,x14242)+E(f371(x14241,x14243,x14244),f371(x14242,x14243,x14244))
% 202.05/201.94 [1425]~E(x14251,x14252)+E(f371(x14253,x14251,x14254),f371(x14253,x14252,x14254))
% 202.05/201.94 [1426]~E(x14261,x14262)+E(f371(x14263,x14264,x14261),f371(x14263,x14264,x14262))
% 202.05/201.94 [1427]~E(x14271,x14272)+E(f295(x14271,x14273,x14274),f295(x14272,x14273,x14274))
% 202.05/201.94 [1428]~E(x14281,x14282)+E(f295(x14283,x14281,x14284),f295(x14283,x14282,x14284))
% 202.05/201.94 [1429]~E(x14291,x14292)+E(f295(x14293,x14294,x14291),f295(x14293,x14294,x14292))
% 202.05/201.94 [1430]~E(x14301,x14302)+E(f683(x14301,x14303,x14304,x14305,x14306),f683(x14302,x14303,x14304,x14305,x14306))
% 202.05/201.94 [1431]~E(x14311,x14312)+E(f683(x14313,x14311,x14314,x14315,x14316),f683(x14313,x14312,x14314,x14315,x14316))
% 202.05/201.94 [1432]~E(x14321,x14322)+E(f683(x14323,x14324,x14321,x14325,x14326),f683(x14323,x14324,x14322,x14325,x14326))
% 202.05/201.94 [1433]~E(x14331,x14332)+E(f683(x14333,x14334,x14335,x14331,x14336),f683(x14333,x14334,x14335,x14332,x14336))
% 202.05/201.94 [1434]~E(x14341,x14342)+E(f683(x14343,x14344,x14345,x14346,x14341),f683(x14343,x14344,x14345,x14346,x14342))
% 202.05/201.94 [1435]~E(x14351,x14352)+E(f865(x14351,x14353,x14354),f865(x14352,x14353,x14354))
% 202.05/201.94 [1436]~E(x14361,x14362)+E(f865(x14363,x14361,x14364),f865(x14363,x14362,x14364))
% 202.05/201.94 [1437]~E(x14371,x14372)+E(f865(x14373,x14374,x14371),f865(x14373,x14374,x14372))
% 202.05/201.94 [1438]~E(x14381,x14382)+E(f778(x14381,x14383,x14384,x14385,x14386,x14387,x14388),f778(x14382,x14383,x14384,x14385,x14386,x14387,x14388))
% 202.05/201.94 [1439]~E(x14391,x14392)+E(f778(x14393,x14391,x14394,x14395,x14396,x14397,x14398),f778(x14393,x14392,x14394,x14395,x14396,x14397,x14398))
% 202.05/201.94 [1440]~E(x14401,x14402)+E(f778(x14403,x14404,x14401,x14405,x14406,x14407,x14408),f778(x14403,x14404,x14402,x14405,x14406,x14407,x14408))
% 202.05/201.94 [1441]~E(x14411,x14412)+E(f778(x14413,x14414,x14415,x14411,x14416,x14417,x14418),f778(x14413,x14414,x14415,x14412,x14416,x14417,x14418))
% 202.05/201.94 [1442]~E(x14421,x14422)+E(f778(x14423,x14424,x14425,x14426,x14421,x14427,x14428),f778(x14423,x14424,x14425,x14426,x14422,x14427,x14428))
% 202.05/201.94 [1443]~E(x14431,x14432)+E(f778(x14433,x14434,x14435,x14436,x14437,x14431,x14438),f778(x14433,x14434,x14435,x14436,x14437,x14432,x14438))
% 202.05/201.94 [1444]~E(x14441,x14442)+E(f778(x14443,x14444,x14445,x14446,x14447,x14448,x14441),f778(x14443,x14444,x14445,x14446,x14447,x14448,x14442))
% 202.05/201.94 [1445]~E(x14451,x14452)+E(f492(x14451,x14453,x14454,x14455,x14456),f492(x14452,x14453,x14454,x14455,x14456))
% 202.05/201.94 [1446]~E(x14461,x14462)+E(f492(x14463,x14461,x14464,x14465,x14466),f492(x14463,x14462,x14464,x14465,x14466))
% 202.05/201.94 [1447]~E(x14471,x14472)+E(f492(x14473,x14474,x14471,x14475,x14476),f492(x14473,x14474,x14472,x14475,x14476))
% 202.05/201.94 [1448]~E(x14481,x14482)+E(f492(x14483,x14484,x14485,x14481,x14486),f492(x14483,x14484,x14485,x14482,x14486))
% 202.05/201.94 [1449]~E(x14491,x14492)+E(f492(x14493,x14494,x14495,x14496,x14491),f492(x14493,x14494,x14495,x14496,x14492))
% 202.05/201.94 [1450]~E(x14501,x14502)+E(f798(x14501,x14503),f798(x14502,x14503))
% 202.05/201.94 [1451]~E(x14511,x14512)+E(f798(x14513,x14511),f798(x14513,x14512))
% 202.05/201.94 [1452]~E(x14521,x14522)+E(f732(x14521,x14523,x14524,x14525,x14526),f732(x14522,x14523,x14524,x14525,x14526))
% 202.05/201.94 [1453]~E(x14531,x14532)+E(f732(x14533,x14531,x14534,x14535,x14536),f732(x14533,x14532,x14534,x14535,x14536))
% 202.05/201.94 [1454]~E(x14541,x14542)+E(f732(x14543,x14544,x14541,x14545,x14546),f732(x14543,x14544,x14542,x14545,x14546))
% 202.05/201.94 [1455]~E(x14551,x14552)+E(f732(x14553,x14554,x14555,x14551,x14556),f732(x14553,x14554,x14555,x14552,x14556))
% 202.05/201.94 [1456]~E(x14561,x14562)+E(f732(x14563,x14564,x14565,x14566,x14561),f732(x14563,x14564,x14565,x14566,x14562))
% 202.05/201.94 [1457]~E(x14571,x14572)+E(f48(x14571,x14573),f48(x14572,x14573))
% 202.05/201.94 [1458]~E(x14581,x14582)+E(f48(x14583,x14581),f48(x14583,x14582))
% 202.05/201.94 [1459]~E(x14591,x14592)+E(f343(x14591,x14593),f343(x14592,x14593))
% 202.05/201.94 [1460]~E(x14601,x14602)+E(f343(x14603,x14601),f343(x14603,x14602))
% 202.05/201.94 [1461]~E(x14611,x14612)+E(f555(x14611,x14613),f555(x14612,x14613))
% 202.05/201.94 [1462]~E(x14621,x14622)+E(f555(x14623,x14621),f555(x14623,x14622))
% 202.05/201.94 [1463]~E(x14631,x14632)+E(f135(x14631),f135(x14632))
% 202.05/201.94 [1464]~E(x14641,x14642)+E(f650(x14641,x14643,x14644),f650(x14642,x14643,x14644))
% 202.05/201.94 [1465]~E(x14651,x14652)+E(f650(x14653,x14651,x14654),f650(x14653,x14652,x14654))
% 202.05/201.94 [1466]~E(x14661,x14662)+E(f650(x14663,x14664,x14661),f650(x14663,x14664,x14662))
% 202.05/201.94 [1467]~E(x14671,x14672)+E(f816(x14671,x14673,x14674),f816(x14672,x14673,x14674))
% 202.05/201.94 [1468]~E(x14681,x14682)+E(f816(x14683,x14681,x14684),f816(x14683,x14682,x14684))
% 202.05/201.94 [1469]~E(x14691,x14692)+E(f816(x14693,x14694,x14691),f816(x14693,x14694,x14692))
% 202.05/201.94 [1470]~E(x14701,x14702)+E(f372(x14701),f372(x14702))
% 202.05/201.94 [1471]~E(x14711,x14712)+E(f753(x14711,x14713,x14714),f753(x14712,x14713,x14714))
% 202.05/201.94 [1472]~E(x14721,x14722)+E(f753(x14723,x14721,x14724),f753(x14723,x14722,x14724))
% 202.05/201.94 [1473]~E(x14731,x14732)+E(f753(x14733,x14734,x14731),f753(x14733,x14734,x14732))
% 202.05/201.94 [1474]~E(x14741,x14742)+E(f198(x14741,x14743,x14744,x14745),f198(x14742,x14743,x14744,x14745))
% 202.05/201.94 [1475]~E(x14751,x14752)+E(f198(x14753,x14751,x14754,x14755),f198(x14753,x14752,x14754,x14755))
% 202.05/201.94 [1476]~E(x14761,x14762)+E(f198(x14763,x14764,x14761,x14765),f198(x14763,x14764,x14762,x14765))
% 202.05/201.94 [1477]~E(x14771,x14772)+E(f198(x14773,x14774,x14775,x14771),f198(x14773,x14774,x14775,x14772))
% 202.05/201.94 [1478]~E(x14781,x14782)+E(f551(x14781,x14783,x14784,x14785),f551(x14782,x14783,x14784,x14785))
% 202.05/201.94 [1479]~E(x14791,x14792)+E(f551(x14793,x14791,x14794,x14795),f551(x14793,x14792,x14794,x14795))
% 202.05/201.94 [1480]~E(x14801,x14802)+E(f551(x14803,x14804,x14801,x14805),f551(x14803,x14804,x14802,x14805))
% 202.05/201.94 [1481]~E(x14811,x14812)+E(f551(x14813,x14814,x14815,x14811),f551(x14813,x14814,x14815,x14812))
% 202.05/201.94 [1482]~E(x14821,x14822)+E(f499(x14821),f499(x14822))
% 202.05/201.94 [1483]~E(x14831,x14832)+E(f817(x14831,x14833,x14834),f817(x14832,x14833,x14834))
% 202.05/201.94 [1484]~E(x14841,x14842)+E(f817(x14843,x14841,x14844),f817(x14843,x14842,x14844))
% 202.05/201.94 [1485]~E(x14851,x14852)+E(f817(x14853,x14854,x14851),f817(x14853,x14854,x14852))
% 202.05/201.94 [1486]~E(x14861,x14862)+E(f697(x14861,x14863),f697(x14862,x14863))
% 202.05/201.94 [1487]~E(x14871,x14872)+E(f697(x14873,x14871),f697(x14873,x14872))
% 202.05/201.94 [1488]~E(x14881,x14882)+E(f484(x14881,x14883,x14884),f484(x14882,x14883,x14884))
% 202.05/201.94 [1489]~E(x14891,x14892)+E(f484(x14893,x14891,x14894),f484(x14893,x14892,x14894))
% 202.05/201.94 [1490]~E(x14901,x14902)+E(f484(x14903,x14904,x14901),f484(x14903,x14904,x14902))
% 202.05/201.94 [1491]~E(x14911,x14912)+E(f29(x14911,x14913),f29(x14912,x14913))
% 202.05/201.94 [1492]~E(x14921,x14922)+E(f29(x14923,x14921),f29(x14923,x14922))
% 202.05/201.94 [1493]~E(x14931,x14932)+E(f733(x14931,x14933,x14934,x14935,x14936),f733(x14932,x14933,x14934,x14935,x14936))
% 202.05/201.94 [1494]~E(x14941,x14942)+E(f733(x14943,x14941,x14944,x14945,x14946),f733(x14943,x14942,x14944,x14945,x14946))
% 202.05/201.94 [1495]~E(x14951,x14952)+E(f733(x14953,x14954,x14951,x14955,x14956),f733(x14953,x14954,x14952,x14955,x14956))
% 202.05/201.94 [1496]~E(x14961,x14962)+E(f733(x14963,x14964,x14965,x14961,x14966),f733(x14963,x14964,x14965,x14962,x14966))
% 202.05/201.94 [1497]~E(x14971,x14972)+E(f733(x14973,x14974,x14975,x14976,x14971),f733(x14973,x14974,x14975,x14976,x14972))
% 202.05/201.94 [1498]~E(x14981,x14982)+E(f185(x14981,x14983,x14984,x14985),f185(x14982,x14983,x14984,x14985))
% 202.05/201.94 [1499]~E(x14991,x14992)+E(f185(x14993,x14991,x14994,x14995),f185(x14993,x14992,x14994,x14995))
% 202.05/201.94 [1500]~E(x15001,x15002)+E(f185(x15003,x15004,x15001,x15005),f185(x15003,x15004,x15002,x15005))
% 202.05/201.94 [1501]~E(x15011,x15012)+E(f185(x15013,x15014,x15015,x15011),f185(x15013,x15014,x15015,x15012))
% 202.05/201.94 [1502]~E(x15021,x15022)+E(f802(x15021,x15023,x15024,x15025,x15026,x15027),f802(x15022,x15023,x15024,x15025,x15026,x15027))
% 202.05/201.94 [1503]~E(x15031,x15032)+E(f802(x15033,x15031,x15034,x15035,x15036,x15037),f802(x15033,x15032,x15034,x15035,x15036,x15037))
% 202.05/201.94 [1504]~E(x15041,x15042)+E(f802(x15043,x15044,x15041,x15045,x15046,x15047),f802(x15043,x15044,x15042,x15045,x15046,x15047))
% 202.05/201.94 [1505]~E(x15051,x15052)+E(f802(x15053,x15054,x15055,x15051,x15056,x15057),f802(x15053,x15054,x15055,x15052,x15056,x15057))
% 202.05/201.94 [1506]~E(x15061,x15062)+E(f802(x15063,x15064,x15065,x15066,x15061,x15067),f802(x15063,x15064,x15065,x15066,x15062,x15067))
% 202.05/201.94 [1507]~E(x15071,x15072)+E(f802(x15073,x15074,x15075,x15076,x15077,x15071),f802(x15073,x15074,x15075,x15076,x15077,x15072))
% 202.05/201.94 [1508]~E(x15081,x15082)+E(f722(x15081,x15083,x15084,x15085,x15086,x15087,x15088,x15089),f722(x15082,x15083,x15084,x15085,x15086,x15087,x15088,x15089))
% 202.05/201.94 [1509]~E(x15091,x15092)+E(f722(x15093,x15091,x15094,x15095,x15096,x15097,x15098,x15099),f722(x15093,x15092,x15094,x15095,x15096,x15097,x15098,x15099))
% 202.05/201.94 [1510]~E(x15101,x15102)+E(f722(x15103,x15104,x15101,x15105,x15106,x15107,x15108,x15109),f722(x15103,x15104,x15102,x15105,x15106,x15107,x15108,x15109))
% 202.05/201.94 [1511]~E(x15111,x15112)+E(f722(x15113,x15114,x15115,x15111,x15116,x15117,x15118,x15119),f722(x15113,x15114,x15115,x15112,x15116,x15117,x15118,x15119))
% 202.05/201.94 [1512]~E(x15121,x15122)+E(f722(x15123,x15124,x15125,x15126,x15121,x15127,x15128,x15129),f722(x15123,x15124,x15125,x15126,x15122,x15127,x15128,x15129))
% 202.05/201.94 [1513]~E(x15131,x15132)+E(f722(x15133,x15134,x15135,x15136,x15137,x15131,x15138,x15139),f722(x15133,x15134,x15135,x15136,x15137,x15132,x15138,x15139))
% 202.05/201.94 [1514]~E(x15141,x15142)+E(f722(x15143,x15144,x15145,x15146,x15147,x15148,x15141,x15149),f722(x15143,x15144,x15145,x15146,x15147,x15148,x15142,x15149))
% 202.05/201.94 [1515]~E(x15151,x15152)+E(f722(x15153,x15154,x15155,x15156,x15157,x15158,x15159,x15151),f722(x15153,x15154,x15155,x15156,x15157,x15158,x15159,x15152))
% 202.05/201.94 [1516]~E(x15161,x15162)+E(f387(x15161,x15163,x15164),f387(x15162,x15163,x15164))
% 202.05/201.94 [1517]~E(x15171,x15172)+E(f387(x15173,x15171,x15174),f387(x15173,x15172,x15174))
% 202.05/201.94 [1518]~E(x15181,x15182)+E(f387(x15183,x15184,x15181),f387(x15183,x15184,x15182))
% 202.05/201.94 [1519]~E(x15191,x15192)+E(f201(x15191),f201(x15192))
% 202.05/201.94 [1520]~E(x15201,x15202)+E(f278(x15201,x15203,x15204,x15205),f278(x15202,x15203,x15204,x15205))
% 202.05/201.94 [1521]~E(x15211,x15212)+E(f278(x15213,x15211,x15214,x15215),f278(x15213,x15212,x15214,x15215))
% 202.05/201.94 [1522]~E(x15221,x15222)+E(f278(x15223,x15224,x15221,x15225),f278(x15223,x15224,x15222,x15225))
% 202.05/201.94 [1523]~E(x15231,x15232)+E(f278(x15233,x15234,x15235,x15231),f278(x15233,x15234,x15235,x15232))
% 202.05/201.94 [1524]~E(x15241,x15242)+E(f793(x15241,x15243),f793(x15242,x15243))
% 202.05/201.94 [1525]~E(x15251,x15252)+E(f793(x15253,x15251),f793(x15253,x15252))
% 202.05/201.94 [1526]~E(x15261,x15262)+E(f812(x15261,x15263,x15264,x15265),f812(x15262,x15263,x15264,x15265))
% 202.05/201.94 [1527]~E(x15271,x15272)+E(f812(x15273,x15271,x15274,x15275),f812(x15273,x15272,x15274,x15275))
% 202.05/201.94 [1528]~E(x15281,x15282)+E(f812(x15283,x15284,x15281,x15285),f812(x15283,x15284,x15282,x15285))
% 202.05/201.94 [1529]~E(x15291,x15292)+E(f812(x15293,x15294,x15295,x15291),f812(x15293,x15294,x15295,x15292))
% 202.05/201.94 [1530]~E(x15301,x15302)+E(f530(x15301,x15303,x15304,x15305,x15306,x15307),f530(x15302,x15303,x15304,x15305,x15306,x15307))
% 202.05/201.94 [1531]~E(x15311,x15312)+E(f530(x15313,x15311,x15314,x15315,x15316,x15317),f530(x15313,x15312,x15314,x15315,x15316,x15317))
% 202.05/201.94 [1532]~E(x15321,x15322)+E(f530(x15323,x15324,x15321,x15325,x15326,x15327),f530(x15323,x15324,x15322,x15325,x15326,x15327))
% 202.05/201.94 [1533]~E(x15331,x15332)+E(f530(x15333,x15334,x15335,x15331,x15336,x15337),f530(x15333,x15334,x15335,x15332,x15336,x15337))
% 202.05/201.94 [1534]~E(x15341,x15342)+E(f530(x15343,x15344,x15345,x15346,x15341,x15347),f530(x15343,x15344,x15345,x15346,x15342,x15347))
% 202.05/201.94 [1535]~E(x15351,x15352)+E(f530(x15353,x15354,x15355,x15356,x15357,x15351),f530(x15353,x15354,x15355,x15356,x15357,x15352))
% 202.05/201.94 [1536]~E(x15361,x15362)+E(f535(x15361,x15363,x15364,x15365,x15366),f535(x15362,x15363,x15364,x15365,x15366))
% 202.05/201.94 [1537]~E(x15371,x15372)+E(f535(x15373,x15371,x15374,x15375,x15376),f535(x15373,x15372,x15374,x15375,x15376))
% 202.05/201.94 [1538]~E(x15381,x15382)+E(f535(x15383,x15384,x15381,x15385,x15386),f535(x15383,x15384,x15382,x15385,x15386))
% 202.05/201.94 [1539]~E(x15391,x15392)+E(f535(x15393,x15394,x15395,x15391,x15396),f535(x15393,x15394,x15395,x15392,x15396))
% 202.05/201.94 [1540]~E(x15401,x15402)+E(f535(x15403,x15404,x15405,x15406,x15401),f535(x15403,x15404,x15405,x15406,x15402))
% 202.05/201.94 [1541]~E(x15411,x15412)+E(f583(x15411,x15413,x15414,x15415,x15416,x15417,x15418,x15419),f583(x15412,x15413,x15414,x15415,x15416,x15417,x15418,x15419))
% 202.05/201.94 [1542]~E(x15421,x15422)+E(f583(x15423,x15421,x15424,x15425,x15426,x15427,x15428,x15429),f583(x15423,x15422,x15424,x15425,x15426,x15427,x15428,x15429))
% 202.05/201.94 [1543]~E(x15431,x15432)+E(f583(x15433,x15434,x15431,x15435,x15436,x15437,x15438,x15439),f583(x15433,x15434,x15432,x15435,x15436,x15437,x15438,x15439))
% 202.05/201.94 [1544]~E(x15441,x15442)+E(f583(x15443,x15444,x15445,x15441,x15446,x15447,x15448,x15449),f583(x15443,x15444,x15445,x15442,x15446,x15447,x15448,x15449))
% 202.05/201.94 [1545]~E(x15451,x15452)+E(f583(x15453,x15454,x15455,x15456,x15451,x15457,x15458,x15459),f583(x15453,x15454,x15455,x15456,x15452,x15457,x15458,x15459))
% 202.05/201.94 [1546]~E(x15461,x15462)+E(f583(x15463,x15464,x15465,x15466,x15467,x15461,x15468,x15469),f583(x15463,x15464,x15465,x15466,x15467,x15462,x15468,x15469))
% 202.05/201.94 [1547]~E(x15471,x15472)+E(f583(x15473,x15474,x15475,x15476,x15477,x15478,x15471,x15479),f583(x15473,x15474,x15475,x15476,x15477,x15478,x15472,x15479))
% 202.05/201.94 [1548]~E(x15481,x15482)+E(f583(x15483,x15484,x15485,x15486,x15487,x15488,x15489,x15481),f583(x15483,x15484,x15485,x15486,x15487,x15488,x15489,x15482))
% 202.05/201.94 [1549]~E(x15491,x15492)+E(f442(x15491,x15493,x15494,x15495),f442(x15492,x15493,x15494,x15495))
% 202.05/201.94 [1550]~E(x15501,x15502)+E(f442(x15503,x15501,x15504,x15505),f442(x15503,x15502,x15504,x15505))
% 202.05/201.94 [1551]~E(x15511,x15512)+E(f442(x15513,x15514,x15511,x15515),f442(x15513,x15514,x15512,x15515))
% 202.05/201.94 [1552]~E(x15521,x15522)+E(f442(x15523,x15524,x15525,x15521),f442(x15523,x15524,x15525,x15522))
% 202.05/201.94 [1553]~E(x15531,x15532)+E(f754(x15531,x15533,x15534),f754(x15532,x15533,x15534))
% 202.05/201.94 [1554]~E(x15541,x15542)+E(f754(x15543,x15541,x15544),f754(x15543,x15542,x15544))
% 202.05/201.94 [1555]~E(x15551,x15552)+E(f754(x15553,x15554,x15551),f754(x15553,x15554,x15552))
% 202.05/201.94 [1556]~E(x15561,x15562)+E(f588(x15561,x15563),f588(x15562,x15563))
% 202.05/201.94 [1557]~E(x15571,x15572)+E(f588(x15573,x15571),f588(x15573,x15572))
% 202.05/201.94 [1558]~E(x15581,x15582)+E(f734(x15581,x15583,x15584,x15585,x15586),f734(x15582,x15583,x15584,x15585,x15586))
% 202.05/201.94 [1559]~E(x15591,x15592)+E(f734(x15593,x15591,x15594,x15595,x15596),f734(x15593,x15592,x15594,x15595,x15596))
% 202.05/201.94 [1560]~E(x15601,x15602)+E(f734(x15603,x15604,x15601,x15605,x15606),f734(x15603,x15604,x15602,x15605,x15606))
% 202.05/201.94 [1561]~E(x15611,x15612)+E(f734(x15613,x15614,x15615,x15611,x15616),f734(x15613,x15614,x15615,x15612,x15616))
% 202.05/201.94 [1562]~E(x15621,x15622)+E(f734(x15623,x15624,x15625,x15626,x15621),f734(x15623,x15624,x15625,x15626,x15622))
% 202.05/201.94 [1563]~E(x15631,x15632)+E(f236(x15631,x15633),f236(x15632,x15633))
% 202.05/201.94 [1564]~E(x15641,x15642)+E(f236(x15643,x15641),f236(x15643,x15642))
% 202.05/201.94 [1565]~E(x15651,x15652)+E(f131(x15651,x15653,x15654,x15655),f131(x15652,x15653,x15654,x15655))
% 202.05/201.94 [1566]~E(x15661,x15662)+E(f131(x15663,x15661,x15664,x15665),f131(x15663,x15662,x15664,x15665))
% 202.05/201.94 [1567]~E(x15671,x15672)+E(f131(x15673,x15674,x15671,x15675),f131(x15673,x15674,x15672,x15675))
% 202.05/201.94 [1568]~E(x15681,x15682)+E(f131(x15683,x15684,x15685,x15681),f131(x15683,x15684,x15685,x15682))
% 202.05/201.94 [1569]~E(x15691,x15692)+E(f117(x15691,x15693,x15694),f117(x15692,x15693,x15694))
% 202.05/201.94 [1570]~E(x15701,x15702)+E(f117(x15703,x15701,x15704),f117(x15703,x15702,x15704))
% 202.05/201.94 [1571]~E(x15711,x15712)+E(f117(x15713,x15714,x15711),f117(x15713,x15714,x15712))
% 202.05/201.94 [1572]~E(x15721,x15722)+E(f231(x15721,x15723,x15724,x15725),f231(x15722,x15723,x15724,x15725))
% 202.05/201.94 [1573]~E(x15731,x15732)+E(f231(x15733,x15731,x15734,x15735),f231(x15733,x15732,x15734,x15735))
% 202.05/201.94 [1574]~E(x15741,x15742)+E(f231(x15743,x15744,x15741,x15745),f231(x15743,x15744,x15742,x15745))
% 202.05/201.94 [1575]~E(x15751,x15752)+E(f231(x15753,x15754,x15755,x15751),f231(x15753,x15754,x15755,x15752))
% 202.05/201.94 [1576]~E(x15761,x15762)+E(f823(x15761,x15763,x15764,x15765,x15766,x15767),f823(x15762,x15763,x15764,x15765,x15766,x15767))
% 202.05/201.94 [1577]~E(x15771,x15772)+E(f823(x15773,x15771,x15774,x15775,x15776,x15777),f823(x15773,x15772,x15774,x15775,x15776,x15777))
% 202.05/201.94 [1578]~E(x15781,x15782)+E(f823(x15783,x15784,x15781,x15785,x15786,x15787),f823(x15783,x15784,x15782,x15785,x15786,x15787))
% 202.05/201.94 [1579]~E(x15791,x15792)+E(f823(x15793,x15794,x15795,x15791,x15796,x15797),f823(x15793,x15794,x15795,x15792,x15796,x15797))
% 202.05/201.94 [1580]~E(x15801,x15802)+E(f823(x15803,x15804,x15805,x15806,x15801,x15807),f823(x15803,x15804,x15805,x15806,x15802,x15807))
% 202.05/201.94 [1581]~E(x15811,x15812)+E(f823(x15813,x15814,x15815,x15816,x15817,x15811),f823(x15813,x15814,x15815,x15816,x15817,x15812))
% 202.05/201.94 [1582]~E(x15821,x15822)+E(f600(x15821,x15823),f600(x15822,x15823))
% 202.05/201.94 [1583]~E(x15831,x15832)+E(f600(x15833,x15831),f600(x15833,x15832))
% 202.05/201.94 [1584]~E(x15841,x15842)+E(f698(x15841,x15843),f698(x15842,x15843))
% 202.05/201.94 [1585]~E(x15851,x15852)+E(f698(x15853,x15851),f698(x15853,x15852))
% 202.05/201.94 [1586]~E(x15861,x15862)+E(f725(x15861,x15863,x15864,x15865,x15866),f725(x15862,x15863,x15864,x15865,x15866))
% 202.05/201.94 [1587]~E(x15871,x15872)+E(f725(x15873,x15871,x15874,x15875,x15876),f725(x15873,x15872,x15874,x15875,x15876))
% 202.05/201.94 [1588]~E(x15881,x15882)+E(f725(x15883,x15884,x15881,x15885,x15886),f725(x15883,x15884,x15882,x15885,x15886))
% 202.05/201.94 [1589]~E(x15891,x15892)+E(f725(x15893,x15894,x15895,x15891,x15896),f725(x15893,x15894,x15895,x15892,x15896))
% 202.05/201.94 [1590]~E(x15901,x15902)+E(f725(x15903,x15904,x15905,x15906,x15901),f725(x15903,x15904,x15905,x15906,x15902))
% 202.05/201.94 [1591]~E(x15911,x15912)+E(f23(x15911,x15913),f23(x15912,x15913))
% 202.05/201.94 [1592]~E(x15921,x15922)+E(f23(x15923,x15921),f23(x15923,x15922))
% 202.05/201.94 [1593]~E(x15931,x15932)+E(f390(x15931,x15933,x15934),f390(x15932,x15933,x15934))
% 202.05/201.94 [1594]~E(x15941,x15942)+E(f390(x15943,x15941,x15944),f390(x15943,x15942,x15944))
% 202.05/201.94 [1595]~E(x15951,x15952)+E(f390(x15953,x15954,x15951),f390(x15953,x15954,x15952))
% 202.05/201.94 [1596]~E(x15961,x15962)+E(f658(x15961,x15963,x15964,x15965),f658(x15962,x15963,x15964,x15965))
% 202.05/201.94 [1597]~E(x15971,x15972)+E(f658(x15973,x15971,x15974,x15975),f658(x15973,x15972,x15974,x15975))
% 202.05/201.94 [1598]~E(x15981,x15982)+E(f658(x15983,x15984,x15981,x15985),f658(x15983,x15984,x15982,x15985))
% 202.05/201.94 [1599]~E(x15991,x15992)+E(f658(x15993,x15994,x15995,x15991),f658(x15993,x15994,x15995,x15992))
% 202.05/201.94 [1600]~E(x16001,x16002)+E(f264(x16001,x16003,x16004),f264(x16002,x16003,x16004))
% 202.05/201.94 [1601]~E(x16011,x16012)+E(f264(x16013,x16011,x16014),f264(x16013,x16012,x16014))
% 202.05/201.94 [1602]~E(x16021,x16022)+E(f264(x16023,x16024,x16021),f264(x16023,x16024,x16022))
% 202.05/201.94 [1603]~E(x16031,x16032)+E(f454(x16031,x16033,x16034,x16035),f454(x16032,x16033,x16034,x16035))
% 202.05/201.94 [1604]~E(x16041,x16042)+E(f454(x16043,x16041,x16044,x16045),f454(x16043,x16042,x16044,x16045))
% 202.05/201.94 [1605]~E(x16051,x16052)+E(f454(x16053,x16054,x16051,x16055),f454(x16053,x16054,x16052,x16055))
% 202.05/201.94 [1606]~E(x16061,x16062)+E(f454(x16063,x16064,x16065,x16061),f454(x16063,x16064,x16065,x16062))
% 202.05/201.94 [1607]~E(x16071,x16072)+E(f703(x16071,x16073,x16074),f703(x16072,x16073,x16074))
% 202.05/201.94 [1608]~E(x16081,x16082)+E(f703(x16083,x16081,x16084),f703(x16083,x16082,x16084))
% 202.05/201.94 [1609]~E(x16091,x16092)+E(f703(x16093,x16094,x16091),f703(x16093,x16094,x16092))
% 202.05/201.94 [1610]~E(x16101,x16102)+E(f194(x16101,x16103),f194(x16102,x16103))
% 202.05/201.94 [1611]~E(x16111,x16112)+E(f194(x16113,x16111),f194(x16113,x16112))
% 202.05/201.94 [1612]~E(x16121,x16122)+E(f531(x16121,x16123,x16124),f531(x16122,x16123,x16124))
% 202.05/201.94 [1613]~E(x16131,x16132)+E(f531(x16133,x16131,x16134),f531(x16133,x16132,x16134))
% 202.05/201.94 [1614]~E(x16141,x16142)+E(f531(x16143,x16144,x16141),f531(x16143,x16144,x16142))
% 202.05/201.94 [1615]~E(x16151,x16152)+E(f730(x16151,x16153,x16154,x16155),f730(x16152,x16153,x16154,x16155))
% 202.05/201.94 [1616]~E(x16161,x16162)+E(f730(x16163,x16161,x16164,x16165),f730(x16163,x16162,x16164,x16165))
% 202.05/201.94 [1617]~E(x16171,x16172)+E(f730(x16173,x16174,x16171,x16175),f730(x16173,x16174,x16172,x16175))
% 202.05/201.94 [1618]~E(x16181,x16182)+E(f730(x16183,x16184,x16185,x16181),f730(x16183,x16184,x16185,x16182))
% 202.05/201.94 [1619]~E(x16191,x16192)+E(f609(x16191,x16193,x16194),f609(x16192,x16193,x16194))
% 202.05/201.94 [1620]~E(x16201,x16202)+E(f609(x16203,x16201,x16204),f609(x16203,x16202,x16204))
% 202.05/201.94 [1621]~E(x16211,x16212)+E(f609(x16213,x16214,x16211),f609(x16213,x16214,x16212))
% 202.05/201.94 [1622]~E(x16221,x16222)+E(f554(x16221,x16223),f554(x16222,x16223))
% 202.05/201.94 [1623]~E(x16231,x16232)+E(f554(x16233,x16231),f554(x16233,x16232))
% 202.05/201.94 [1624]~E(x16241,x16242)+E(f708(x16241,x16243,x16244,x16245,x16246),f708(x16242,x16243,x16244,x16245,x16246))
% 202.05/201.94 [1625]~E(x16251,x16252)+E(f708(x16253,x16251,x16254,x16255,x16256),f708(x16253,x16252,x16254,x16255,x16256))
% 202.05/201.94 [1626]~E(x16261,x16262)+E(f708(x16263,x16264,x16261,x16265,x16266),f708(x16263,x16264,x16262,x16265,x16266))
% 202.05/201.94 [1627]~E(x16271,x16272)+E(f708(x16273,x16274,x16275,x16271,x16276),f708(x16273,x16274,x16275,x16272,x16276))
% 202.05/201.94 [1628]~E(x16281,x16282)+E(f708(x16283,x16284,x16285,x16286,x16281),f708(x16283,x16284,x16285,x16286,x16282))
% 202.05/201.94 [1629]~E(x16291,x16292)+E(f481(x16291,x16293,x16294),f481(x16292,x16293,x16294))
% 202.05/201.94 [1630]~E(x16301,x16302)+E(f481(x16303,x16301,x16304),f481(x16303,x16302,x16304))
% 202.05/201.94 [1631]~E(x16311,x16312)+E(f481(x16313,x16314,x16311),f481(x16313,x16314,x16312))
% 202.05/201.94 [1632]~E(x16321,x16322)+E(f258(x16321,x16323,x16324,x16325),f258(x16322,x16323,x16324,x16325))
% 202.05/201.94 [1633]~E(x16331,x16332)+E(f258(x16333,x16331,x16334,x16335),f258(x16333,x16332,x16334,x16335))
% 202.05/201.94 [1634]~E(x16341,x16342)+E(f258(x16343,x16344,x16341,x16345),f258(x16343,x16344,x16342,x16345))
% 202.05/201.94 [1635]~E(x16351,x16352)+E(f258(x16353,x16354,x16355,x16351),f258(x16353,x16354,x16355,x16352))
% 202.05/201.94 [1636]~E(x16361,x16362)+E(f196(x16361,x16363,x16364,x16365),f196(x16362,x16363,x16364,x16365))
% 202.05/201.94 [1637]~E(x16371,x16372)+E(f196(x16373,x16371,x16374,x16375),f196(x16373,x16372,x16374,x16375))
% 202.05/201.94 [1638]~E(x16381,x16382)+E(f196(x16383,x16384,x16381,x16385),f196(x16383,x16384,x16382,x16385))
% 202.05/201.94 [1639]~E(x16391,x16392)+E(f196(x16393,x16394,x16395,x16391),f196(x16393,x16394,x16395,x16392))
% 202.05/201.94 [1640]~E(x16401,x16402)+E(f796(x16401,x16403,x16404,x16405,x16406),f796(x16402,x16403,x16404,x16405,x16406))
% 202.05/201.94 [1641]~E(x16411,x16412)+E(f796(x16413,x16411,x16414,x16415,x16416),f796(x16413,x16412,x16414,x16415,x16416))
% 202.05/201.94 [1642]~E(x16421,x16422)+E(f796(x16423,x16424,x16421,x16425,x16426),f796(x16423,x16424,x16422,x16425,x16426))
% 202.05/201.94 [1643]~E(x16431,x16432)+E(f796(x16433,x16434,x16435,x16431,x16436),f796(x16433,x16434,x16435,x16432,x16436))
% 202.05/201.94 [1644]~E(x16441,x16442)+E(f796(x16443,x16444,x16445,x16446,x16441),f796(x16443,x16444,x16445,x16446,x16442))
% 202.05/201.94 [1645]~E(x16451,x16452)+E(f806(x16451,x16453,x16454),f806(x16452,x16453,x16454))
% 202.05/201.94 [1646]~E(x16461,x16462)+E(f806(x16463,x16461,x16464),f806(x16463,x16462,x16464))
% 202.05/201.94 [1647]~E(x16471,x16472)+E(f806(x16473,x16474,x16471),f806(x16473,x16474,x16472))
% 202.05/201.94 [1648]~E(x16481,x16482)+E(f320(x16481,x16483,x16484),f320(x16482,x16483,x16484))
% 202.05/201.94 [1649]~E(x16491,x16492)+E(f320(x16493,x16491,x16494),f320(x16493,x16492,x16494))
% 202.05/201.94 [1650]~E(x16501,x16502)+E(f320(x16503,x16504,x16501),f320(x16503,x16504,x16502))
% 202.05/201.94 [1651]~E(x16511,x16512)+E(f465(x16511,x16513),f465(x16512,x16513))
% 202.05/201.94 [1652]~E(x16521,x16522)+E(f465(x16523,x16521),f465(x16523,x16522))
% 202.05/201.94 [1653]~E(x16531,x16532)+E(f756(x16531,x16533,x16534),f756(x16532,x16533,x16534))
% 202.05/201.94 [1654]~E(x16541,x16542)+E(f756(x16543,x16541,x16544),f756(x16543,x16542,x16544))
% 202.05/201.94 [1655]~E(x16551,x16552)+E(f756(x16553,x16554,x16551),f756(x16553,x16554,x16552))
% 202.05/201.94 [1656]~E(x16561,x16562)+E(f701(x16561,x16563,x16564),f701(x16562,x16563,x16564))
% 202.05/201.94 [1657]~E(x16571,x16572)+E(f701(x16573,x16571,x16574),f701(x16573,x16572,x16574))
% 202.05/201.94 [1658]~E(x16581,x16582)+E(f701(x16583,x16584,x16581),f701(x16583,x16584,x16582))
% 202.05/201.94 [1659]~E(x16591,x16592)+E(f873(x16591,x16593,x16594,x16595,x16596),f873(x16592,x16593,x16594,x16595,x16596))
% 202.05/201.94 [1660]~E(x16601,x16602)+E(f873(x16603,x16601,x16604,x16605,x16606),f873(x16603,x16602,x16604,x16605,x16606))
% 202.05/201.94 [1661]~E(x16611,x16612)+E(f873(x16613,x16614,x16611,x16615,x16616),f873(x16613,x16614,x16612,x16615,x16616))
% 202.05/201.94 [1662]~E(x16621,x16622)+E(f873(x16623,x16624,x16625,x16621,x16626),f873(x16623,x16624,x16625,x16622,x16626))
% 202.05/201.94 [1663]~E(x16631,x16632)+E(f873(x16633,x16634,x16635,x16636,x16631),f873(x16633,x16634,x16635,x16636,x16632))
% 202.05/201.94 [1664]~E(x16641,x16642)+E(f589(x16641,x16643,x16644,x16645,x16646,x16647),f589(x16642,x16643,x16644,x16645,x16646,x16647))
% 202.05/201.94 [1665]~E(x16651,x16652)+E(f589(x16653,x16651,x16654,x16655,x16656,x16657),f589(x16653,x16652,x16654,x16655,x16656,x16657))
% 202.05/201.94 [1666]~E(x16661,x16662)+E(f589(x16663,x16664,x16661,x16665,x16666,x16667),f589(x16663,x16664,x16662,x16665,x16666,x16667))
% 202.05/201.94 [1667]~E(x16671,x16672)+E(f589(x16673,x16674,x16675,x16671,x16676,x16677),f589(x16673,x16674,x16675,x16672,x16676,x16677))
% 202.05/201.94 [1668]~E(x16681,x16682)+E(f589(x16683,x16684,x16685,x16686,x16681,x16687),f589(x16683,x16684,x16685,x16686,x16682,x16687))
% 202.05/201.94 [1669]~E(x16691,x16692)+E(f589(x16693,x16694,x16695,x16696,x16697,x16691),f589(x16693,x16694,x16695,x16696,x16697,x16692))
% 202.05/201.94 [1670]~E(x16701,x16702)+E(f807(x16701,x16703,x16704),f807(x16702,x16703,x16704))
% 202.05/201.94 [1671]~E(x16711,x16712)+E(f807(x16713,x16711,x16714),f807(x16713,x16712,x16714))
% 202.05/201.94 [1672]~E(x16721,x16722)+E(f807(x16723,x16724,x16721),f807(x16723,x16724,x16722))
% 202.05/201.94 [1673]~E(x16731,x16732)+E(f517(x16731,x16733,x16734,x16735,x16736),f517(x16732,x16733,x16734,x16735,x16736))
% 202.05/201.94 [1674]~E(x16741,x16742)+E(f517(x16743,x16741,x16744,x16745,x16746),f517(x16743,x16742,x16744,x16745,x16746))
% 202.05/201.94 [1675]~E(x16751,x16752)+E(f517(x16753,x16754,x16751,x16755,x16756),f517(x16753,x16754,x16752,x16755,x16756))
% 202.05/201.94 [1676]~E(x16761,x16762)+E(f517(x16763,x16764,x16765,x16761,x16766),f517(x16763,x16764,x16765,x16762,x16766))
% 202.05/201.94 [1677]~E(x16771,x16772)+E(f517(x16773,x16774,x16775,x16776,x16771),f517(x16773,x16774,x16775,x16776,x16772))
% 202.05/201.94 [1678]~E(x16781,x16782)+E(f673(x16781,x16783,x16784,x16785,x16786),f673(x16782,x16783,x16784,x16785,x16786))
% 202.05/201.94 [1679]~E(x16791,x16792)+E(f673(x16793,x16791,x16794,x16795,x16796),f673(x16793,x16792,x16794,x16795,x16796))
% 202.05/201.94 [1680]~E(x16801,x16802)+E(f673(x16803,x16804,x16801,x16805,x16806),f673(x16803,x16804,x16802,x16805,x16806))
% 202.05/201.94 [1681]~E(x16811,x16812)+E(f673(x16813,x16814,x16815,x16811,x16816),f673(x16813,x16814,x16815,x16812,x16816))
% 202.05/201.94 [1682]~E(x16821,x16822)+E(f673(x16823,x16824,x16825,x16826,x16821),f673(x16823,x16824,x16825,x16826,x16822))
% 202.05/201.94 [1683]~E(x16831,x16832)+E(f602(x16831,x16833,x16834),f602(x16832,x16833,x16834))
% 202.05/201.94 [1684]~E(x16841,x16842)+E(f602(x16843,x16841,x16844),f602(x16843,x16842,x16844))
% 202.05/201.94 [1685]~E(x16851,x16852)+E(f602(x16853,x16854,x16851),f602(x16853,x16854,x16852))
% 202.05/201.94 [1686]~E(x16861,x16862)+E(f775(x16861,x16863,x16864,x16865),f775(x16862,x16863,x16864,x16865))
% 202.05/201.94 [1687]~E(x16871,x16872)+E(f775(x16873,x16871,x16874,x16875),f775(x16873,x16872,x16874,x16875))
% 202.05/201.94 [1688]~E(x16881,x16882)+E(f775(x16883,x16884,x16881,x16885),f775(x16883,x16884,x16882,x16885))
% 202.05/201.94 [1689]~E(x16891,x16892)+E(f775(x16893,x16894,x16895,x16891),f775(x16893,x16894,x16895,x16892))
% 202.05/201.94 [1690]~E(x16901,x16902)+E(f819(x16901,x16903,x16904,x16905),f819(x16902,x16903,x16904,x16905))
% 202.05/201.94 [1691]~E(x16911,x16912)+E(f819(x16913,x16911,x16914,x16915),f819(x16913,x16912,x16914,x16915))
% 202.05/201.94 [1692]~E(x16921,x16922)+E(f819(x16923,x16924,x16921,x16925),f819(x16923,x16924,x16922,x16925))
% 202.05/201.94 [1693]~E(x16931,x16932)+E(f819(x16933,x16934,x16935,x16931),f819(x16933,x16934,x16935,x16932))
% 202.05/201.94 [1694]~E(x16941,x16942)+E(f702(x16941,x16943,x16944),f702(x16942,x16943,x16944))
% 202.05/201.94 [1695]~E(x16951,x16952)+E(f702(x16953,x16951,x16954),f702(x16953,x16952,x16954))
% 202.05/201.94 [1696]~E(x16961,x16962)+E(f702(x16963,x16964,x16961),f702(x16963,x16964,x16962))
% 202.05/201.94 [1697]~E(x16971,x16972)+E(f149(x16971,x16973,x16974,x16975,x16976),f149(x16972,x16973,x16974,x16975,x16976))
% 202.05/201.94 [1698]~E(x16981,x16982)+E(f149(x16983,x16981,x16984,x16985,x16986),f149(x16983,x16982,x16984,x16985,x16986))
% 202.05/201.94 [1699]~E(x16991,x16992)+E(f149(x16993,x16994,x16991,x16995,x16996),f149(x16993,x16994,x16992,x16995,x16996))
% 202.05/201.94 [1700]~E(x17001,x17002)+E(f149(x17003,x17004,x17005,x17001,x17006),f149(x17003,x17004,x17005,x17002,x17006))
% 202.05/201.94 [1701]~E(x17011,x17012)+E(f149(x17013,x17014,x17015,x17016,x17011),f149(x17013,x17014,x17015,x17016,x17012))
% 202.05/201.94 [1702]~E(x17021,x17022)+E(f269(x17021,x17023),f269(x17022,x17023))
% 202.05/201.94 [1703]~E(x17031,x17032)+E(f269(x17033,x17031),f269(x17033,x17032))
% 202.05/201.94 [1704]~E(x17041,x17042)+E(f579(x17041,x17043,x17044,x17045,x17046,x17047),f579(x17042,x17043,x17044,x17045,x17046,x17047))
% 202.05/201.94 [1705]~E(x17051,x17052)+E(f579(x17053,x17051,x17054,x17055,x17056,x17057),f579(x17053,x17052,x17054,x17055,x17056,x17057))
% 202.05/201.94 [1706]~E(x17061,x17062)+E(f579(x17063,x17064,x17061,x17065,x17066,x17067),f579(x17063,x17064,x17062,x17065,x17066,x17067))
% 202.05/201.94 [1707]~E(x17071,x17072)+E(f579(x17073,x17074,x17075,x17071,x17076,x17077),f579(x17073,x17074,x17075,x17072,x17076,x17077))
% 202.05/201.94 [1708]~E(x17081,x17082)+E(f579(x17083,x17084,x17085,x17086,x17081,x17087),f579(x17083,x17084,x17085,x17086,x17082,x17087))
% 202.05/201.94 [1709]~E(x17091,x17092)+E(f579(x17093,x17094,x17095,x17096,x17097,x17091),f579(x17093,x17094,x17095,x17096,x17097,x17092))
% 202.05/201.94 [1710]~E(x17101,x17102)+E(f410(x17101,x17103,x17104,x17105,x17106),f410(x17102,x17103,x17104,x17105,x17106))
% 202.05/201.94 [1711]~E(x17111,x17112)+E(f410(x17113,x17111,x17114,x17115,x17116),f410(x17113,x17112,x17114,x17115,x17116))
% 202.05/201.94 [1712]~E(x17121,x17122)+E(f410(x17123,x17124,x17121,x17125,x17126),f410(x17123,x17124,x17122,x17125,x17126))
% 202.05/201.94 [1713]~E(x17131,x17132)+E(f410(x17133,x17134,x17135,x17131,x17136),f410(x17133,x17134,x17135,x17132,x17136))
% 202.05/201.94 [1714]~E(x17141,x17142)+E(f410(x17143,x17144,x17145,x17146,x17141),f410(x17143,x17144,x17145,x17146,x17142))
% 202.05/201.94 [1715]~E(x17151,x17152)+E(f279(x17151,x17153,x17154,x17155),f279(x17152,x17153,x17154,x17155))
% 202.05/201.94 [1716]~E(x17161,x17162)+E(f279(x17163,x17161,x17164,x17165),f279(x17163,x17162,x17164,x17165))
% 202.05/201.94 [1717]~E(x17171,x17172)+E(f279(x17173,x17174,x17171,x17175),f279(x17173,x17174,x17172,x17175))
% 202.05/201.94 [1718]~E(x17181,x17182)+E(f279(x17183,x17184,x17185,x17181),f279(x17183,x17184,x17185,x17182))
% 202.05/201.94 [1719]~E(x17191,x17192)+E(f94(x17191,x17193,x17194,x17195),f94(x17192,x17193,x17194,x17195))
% 202.05/201.94 [1720]~E(x17201,x17202)+E(f94(x17203,x17201,x17204,x17205),f94(x17203,x17202,x17204,x17205))
% 202.05/201.94 [1721]~E(x17211,x17212)+E(f94(x17213,x17214,x17211,x17215),f94(x17213,x17214,x17212,x17215))
% 202.05/201.94 [1722]~E(x17221,x17222)+E(f94(x17223,x17224,x17225,x17221),f94(x17223,x17224,x17225,x17222))
% 202.05/201.94 [1723]~E(x17231,x17232)+E(f549(x17231,x17233,x17234,x17235),f549(x17232,x17233,x17234,x17235))
% 202.05/201.94 [1724]~E(x17241,x17242)+E(f549(x17243,x17241,x17244,x17245),f549(x17243,x17242,x17244,x17245))
% 202.05/201.94 [1725]~E(x17251,x17252)+E(f549(x17253,x17254,x17251,x17255),f549(x17253,x17254,x17252,x17255))
% 202.05/201.94 [1726]~E(x17261,x17262)+E(f549(x17263,x17264,x17265,x17261),f549(x17263,x17264,x17265,x17262))
% 202.05/201.94 [1727]~E(x17271,x17272)+E(f566(x17271,x17273,x17274,x17275),f566(x17272,x17273,x17274,x17275))
% 202.05/201.94 [1728]~E(x17281,x17282)+E(f566(x17283,x17281,x17284,x17285),f566(x17283,x17282,x17284,x17285))
% 202.05/201.94 [1729]~E(x17291,x17292)+E(f566(x17293,x17294,x17291,x17295),f566(x17293,x17294,x17292,x17295))
% 202.05/201.94 [1730]~E(x17301,x17302)+E(f566(x17303,x17304,x17305,x17301),f566(x17303,x17304,x17305,x17302))
% 202.05/201.94 [1731]~E(x17311,x17312)+E(f642(x17311,x17313,x17314,x17315,x17316),f642(x17312,x17313,x17314,x17315,x17316))
% 202.05/201.94 [1732]~E(x17321,x17322)+E(f642(x17323,x17321,x17324,x17325,x17326),f642(x17323,x17322,x17324,x17325,x17326))
% 202.05/201.94 [1733]~E(x17331,x17332)+E(f642(x17333,x17334,x17331,x17335,x17336),f642(x17333,x17334,x17332,x17335,x17336))
% 202.05/201.94 [1734]~E(x17341,x17342)+E(f642(x17343,x17344,x17345,x17341,x17346),f642(x17343,x17344,x17345,x17342,x17346))
% 202.05/201.94 [1735]~E(x17351,x17352)+E(f642(x17353,x17354,x17355,x17356,x17351),f642(x17353,x17354,x17355,x17356,x17352))
% 202.05/201.94 [1736]~E(x17361,x17362)+E(f475(x17361,x17363,x17364),f475(x17362,x17363,x17364))
% 202.05/201.94 [1737]~E(x17371,x17372)+E(f475(x17373,x17371,x17374),f475(x17373,x17372,x17374))
% 202.05/201.94 [1738]~E(x17381,x17382)+E(f475(x17383,x17384,x17381),f475(x17383,x17384,x17382))
% 202.05/201.94 [1739]~E(x17391,x17392)+E(f636(x17391,x17393),f636(x17392,x17393))
% 202.05/201.94 [1740]~E(x17401,x17402)+E(f636(x17403,x17401),f636(x17403,x17402))
% 202.05/201.94 [1741]~E(x17411,x17412)+E(f447(x17411,x17413),f447(x17412,x17413))
% 202.05/201.94 [1742]~E(x17421,x17422)+E(f447(x17423,x17421),f447(x17423,x17422))
% 202.05/201.94 [1743]~E(x17431,x17432)+E(f214(x17431,x17433),f214(x17432,x17433))
% 202.05/201.94 [1744]~E(x17441,x17442)+E(f214(x17443,x17441),f214(x17443,x17442))
% 202.05/201.94 [1745]~E(x17451,x17452)+E(f489(x17451,x17453,x17454),f489(x17452,x17453,x17454))
% 202.05/201.94 [1746]~E(x17461,x17462)+E(f489(x17463,x17461,x17464),f489(x17463,x17462,x17464))
% 202.05/201.94 [1747]~E(x17471,x17472)+E(f489(x17473,x17474,x17471),f489(x17473,x17474,x17472))
% 202.05/201.94 [1748]~E(x17481,x17482)+E(f434(x17481,x17483,x17484,x17485),f434(x17482,x17483,x17484,x17485))
% 202.05/201.94 [1749]~E(x17491,x17492)+E(f434(x17493,x17491,x17494,x17495),f434(x17493,x17492,x17494,x17495))
% 202.05/201.94 [1750]~E(x17501,x17502)+E(f434(x17503,x17504,x17501,x17505),f434(x17503,x17504,x17502,x17505))
% 202.05/201.94 [1751]~E(x17511,x17512)+E(f434(x17513,x17514,x17515,x17511),f434(x17513,x17514,x17515,x17512))
% 202.05/201.94 [1752]~E(x17521,x17522)+E(f557(x17521,x17523,x17524,x17525),f557(x17522,x17523,x17524,x17525))
% 202.05/201.94 [1753]~E(x17531,x17532)+E(f557(x17533,x17531,x17534,x17535),f557(x17533,x17532,x17534,x17535))
% 202.05/201.94 [1754]~E(x17541,x17542)+E(f557(x17543,x17544,x17541,x17545),f557(x17543,x17544,x17542,x17545))
% 202.05/201.94 [1755]~E(x17551,x17552)+E(f557(x17553,x17554,x17555,x17551),f557(x17553,x17554,x17555,x17552))
% 202.05/201.94 [1756]~E(x17561,x17562)+E(f418(x17561,x17563,x17564),f418(x17562,x17563,x17564))
% 202.05/201.94 [1757]~E(x17571,x17572)+E(f418(x17573,x17571,x17574),f418(x17573,x17572,x17574))
% 202.05/201.94 [1758]~E(x17581,x17582)+E(f418(x17583,x17584,x17581),f418(x17583,x17584,x17582))
% 202.05/201.94 [1759]~E(x17591,x17592)+E(f427(x17591,x17593,x17594,x17595),f427(x17592,x17593,x17594,x17595))
% 202.05/201.94 [1760]~E(x17601,x17602)+E(f427(x17603,x17601,x17604,x17605),f427(x17603,x17602,x17604,x17605))
% 202.05/201.94 [1761]~E(x17611,x17612)+E(f427(x17613,x17614,x17611,x17615),f427(x17613,x17614,x17612,x17615))
% 202.05/201.94 [1762]~E(x17621,x17622)+E(f427(x17623,x17624,x17625,x17621),f427(x17623,x17624,x17625,x17622))
% 202.05/201.94 [1763]~E(x17631,x17632)+E(f441(x17631,x17633,x17634,x17635),f441(x17632,x17633,x17634,x17635))
% 202.05/201.94 [1764]~E(x17641,x17642)+E(f441(x17643,x17641,x17644,x17645),f441(x17643,x17642,x17644,x17645))
% 202.05/201.94 [1765]~E(x17651,x17652)+E(f441(x17653,x17654,x17651,x17655),f441(x17653,x17654,x17652,x17655))
% 202.05/201.94 [1766]~E(x17661,x17662)+E(f441(x17663,x17664,x17665,x17661),f441(x17663,x17664,x17665,x17662))
% 202.05/201.94 [1767]~E(x17671,x17672)+E(f735(x17671,x17673,x17674,x17675,x17676),f735(x17672,x17673,x17674,x17675,x17676))
% 202.05/201.94 [1768]~E(x17681,x17682)+E(f735(x17683,x17681,x17684,x17685,x17686),f735(x17683,x17682,x17684,x17685,x17686))
% 202.05/201.94 [1769]~E(x17691,x17692)+E(f735(x17693,x17694,x17691,x17695,x17696),f735(x17693,x17694,x17692,x17695,x17696))
% 202.05/201.94 [1770]~E(x17701,x17702)+E(f735(x17703,x17704,x17705,x17701,x17706),f735(x17703,x17704,x17705,x17702,x17706))
% 202.05/201.94 [1771]~E(x17711,x17712)+E(f735(x17713,x17714,x17715,x17716,x17711),f735(x17713,x17714,x17715,x17716,x17712))
% 202.05/201.94 [1772]~E(x17721,x17722)+E(f752(x17721,x17723,x17724),f752(x17722,x17723,x17724))
% 202.05/201.94 [1773]~E(x17731,x17732)+E(f752(x17733,x17731,x17734),f752(x17733,x17732,x17734))
% 202.05/201.94 [1774]~E(x17741,x17742)+E(f752(x17743,x17744,x17741),f752(x17743,x17744,x17742))
% 202.05/201.94 [1775]~E(x17751,x17752)+E(f518(x17751,x17753,x17754,x17755,x17756,x17757,x17758,x17759),f518(x17752,x17753,x17754,x17755,x17756,x17757,x17758,x17759))
% 202.05/201.94 [1776]~E(x17761,x17762)+E(f518(x17763,x17761,x17764,x17765,x17766,x17767,x17768,x17769),f518(x17763,x17762,x17764,x17765,x17766,x17767,x17768,x17769))
% 202.05/201.94 [1777]~E(x17771,x17772)+E(f518(x17773,x17774,x17771,x17775,x17776,x17777,x17778,x17779),f518(x17773,x17774,x17772,x17775,x17776,x17777,x17778,x17779))
% 202.05/201.94 [1778]~E(x17781,x17782)+E(f518(x17783,x17784,x17785,x17781,x17786,x17787,x17788,x17789),f518(x17783,x17784,x17785,x17782,x17786,x17787,x17788,x17789))
% 202.05/201.94 [1779]~E(x17791,x17792)+E(f518(x17793,x17794,x17795,x17796,x17791,x17797,x17798,x17799),f518(x17793,x17794,x17795,x17796,x17792,x17797,x17798,x17799))
% 202.05/201.94 [1780]~E(x17801,x17802)+E(f518(x17803,x17804,x17805,x17806,x17807,x17801,x17808,x17809),f518(x17803,x17804,x17805,x17806,x17807,x17802,x17808,x17809))
% 202.05/201.94 [1781]~E(x17811,x17812)+E(f518(x17813,x17814,x17815,x17816,x17817,x17818,x17811,x17819),f518(x17813,x17814,x17815,x17816,x17817,x17818,x17812,x17819))
% 202.05/201.94 [1782]~E(x17821,x17822)+E(f518(x17823,x17824,x17825,x17826,x17827,x17828,x17829,x17821),f518(x17823,x17824,x17825,x17826,x17827,x17828,x17829,x17822))
% 202.05/201.94 [1783]~E(x17831,x17832)+E(f664(x17831,x17833,x17834),f664(x17832,x17833,x17834))
% 202.05/201.94 [1784]~E(x17841,x17842)+E(f664(x17843,x17841,x17844),f664(x17843,x17842,x17844))
% 202.05/201.94 [1785]~E(x17851,x17852)+E(f664(x17853,x17854,x17851),f664(x17853,x17854,x17852))
% 202.05/201.94 [1786]~E(x17861,x17862)+E(f825(x17861,x17863,x17864,x17865,x17866,x17867,x17868,x17869),f825(x17862,x17863,x17864,x17865,x17866,x17867,x17868,x17869))
% 202.05/201.94 [1787]~E(x17871,x17872)+E(f825(x17873,x17871,x17874,x17875,x17876,x17877,x17878,x17879),f825(x17873,x17872,x17874,x17875,x17876,x17877,x17878,x17879))
% 202.05/201.94 [1788]~E(x17881,x17882)+E(f825(x17883,x17884,x17881,x17885,x17886,x17887,x17888,x17889),f825(x17883,x17884,x17882,x17885,x17886,x17887,x17888,x17889))
% 202.05/201.94 [1789]~E(x17891,x17892)+E(f825(x17893,x17894,x17895,x17891,x17896,x17897,x17898,x17899),f825(x17893,x17894,x17895,x17892,x17896,x17897,x17898,x17899))
% 202.05/201.94 [1790]~E(x17901,x17902)+E(f825(x17903,x17904,x17905,x17906,x17901,x17907,x17908,x17909),f825(x17903,x17904,x17905,x17906,x17902,x17907,x17908,x17909))
% 202.05/201.94 [1791]~E(x17911,x17912)+E(f825(x17913,x17914,x17915,x17916,x17917,x17911,x17918,x17919),f825(x17913,x17914,x17915,x17916,x17917,x17912,x17918,x17919))
% 202.05/201.94 [1792]~E(x17921,x17922)+E(f825(x17923,x17924,x17925,x17926,x17927,x17928,x17921,x17929),f825(x17923,x17924,x17925,x17926,x17927,x17928,x17922,x17929))
% 202.05/201.94 [1793]~E(x17931,x17932)+E(f825(x17933,x17934,x17935,x17936,x17937,x17938,x17939,x17931),f825(x17933,x17934,x17935,x17936,x17937,x17938,x17939,x17932))
% 202.05/201.94 [1794]~E(x17941,x17942)+E(f676(x17941,x17943,x17944,x17945),f676(x17942,x17943,x17944,x17945))
% 202.05/201.94 [1795]~E(x17951,x17952)+E(f676(x17953,x17951,x17954,x17955),f676(x17953,x17952,x17954,x17955))
% 202.05/201.94 [1796]~E(x17961,x17962)+E(f676(x17963,x17964,x17961,x17965),f676(x17963,x17964,x17962,x17965))
% 202.05/201.94 [1797]~E(x17971,x17972)+E(f676(x17973,x17974,x17975,x17971),f676(x17973,x17974,x17975,x17972))
% 202.05/201.94 [1798]~E(x17981,x17982)+E(f729(x17981,x17983,x17984),f729(x17982,x17983,x17984))
% 202.05/201.94 [1799]~E(x17991,x17992)+E(f729(x17993,x17991,x17994),f729(x17993,x17992,x17994))
% 202.05/201.94 [1800]~E(x18001,x18002)+E(f729(x18003,x18004,x18001),f729(x18003,x18004,x18002))
% 202.05/201.94 [1801]~E(x18011,x18012)+E(f480(x18011,x18013,x18014),f480(x18012,x18013,x18014))
% 202.05/201.94 [1802]~E(x18021,x18022)+E(f480(x18023,x18021,x18024),f480(x18023,x18022,x18024))
% 202.05/201.94 [1803]~E(x18031,x18032)+E(f480(x18033,x18034,x18031),f480(x18033,x18034,x18032))
% 202.05/201.94 [1804]~E(x18041,x18042)+E(f93(x18041,x18043,x18044),f93(x18042,x18043,x18044))
% 202.05/201.94 [1805]~E(x18051,x18052)+E(f93(x18053,x18051,x18054),f93(x18053,x18052,x18054))
% 202.05/201.94 [1806]~E(x18061,x18062)+E(f93(x18063,x18064,x18061),f93(x18063,x18064,x18062))
% 202.05/201.94 [1807]~E(x18071,x18072)+E(f197(x18071,x18073,x18074,x18075),f197(x18072,x18073,x18074,x18075))
% 202.05/201.94 [1808]~E(x18081,x18082)+E(f197(x18083,x18081,x18084,x18085),f197(x18083,x18082,x18084,x18085))
% 202.05/201.94 [1809]~E(x18091,x18092)+E(f197(x18093,x18094,x18091,x18095),f197(x18093,x18094,x18092,x18095))
% 202.05/201.94 [1810]~E(x18101,x18102)+E(f197(x18103,x18104,x18105,x18101),f197(x18103,x18104,x18105,x18102))
% 202.05/201.94 [1811]~E(x18111,x18112)+E(f415(x18111,x18113),f415(x18112,x18113))
% 202.05/201.94 [1812]~E(x18121,x18122)+E(f415(x18123,x18121),f415(x18123,x18122))
% 202.05/201.94 [1813]~E(x18131,x18132)+E(f872(x18131,x18133,x18134,x18135,x18136),f872(x18132,x18133,x18134,x18135,x18136))
% 202.05/201.94 [1814]~E(x18141,x18142)+E(f872(x18143,x18141,x18144,x18145,x18146),f872(x18143,x18142,x18144,x18145,x18146))
% 202.05/201.94 [1815]~E(x18151,x18152)+E(f872(x18153,x18154,x18151,x18155,x18156),f872(x18153,x18154,x18152,x18155,x18156))
% 202.05/201.94 [1816]~E(x18161,x18162)+E(f872(x18163,x18164,x18165,x18161,x18166),f872(x18163,x18164,x18165,x18162,x18166))
% 202.05/201.94 [1817]~E(x18171,x18172)+E(f872(x18173,x18174,x18175,x18176,x18171),f872(x18173,x18174,x18175,x18176,x18172))
% 202.05/201.94 [1818]~E(x18181,x18182)+E(f747(x18181,x18183,x18184),f747(x18182,x18183,x18184))
% 202.05/201.94 [1819]~E(x18191,x18192)+E(f747(x18193,x18191,x18194),f747(x18193,x18192,x18194))
% 202.05/201.94 [1820]~E(x18201,x18202)+E(f747(x18203,x18204,x18201),f747(x18203,x18204,x18202))
% 202.05/201.94 [1821]~E(x18211,x18212)+E(f458(x18211,x18213,x18214,x18215,x18216),f458(x18212,x18213,x18214,x18215,x18216))
% 202.05/201.94 [1822]~E(x18221,x18222)+E(f458(x18223,x18221,x18224,x18225,x18226),f458(x18223,x18222,x18224,x18225,x18226))
% 202.05/201.94 [1823]~E(x18231,x18232)+E(f458(x18233,x18234,x18231,x18235,x18236),f458(x18233,x18234,x18232,x18235,x18236))
% 202.05/201.94 [1824]~E(x18241,x18242)+E(f458(x18243,x18244,x18245,x18241,x18246),f458(x18243,x18244,x18245,x18242,x18246))
% 202.05/201.94 [1825]~E(x18251,x18252)+E(f458(x18253,x18254,x18255,x18256,x18251),f458(x18253,x18254,x18255,x18256,x18252))
% 202.05/201.94 [1826]~E(x18261,x18262)+E(f41(x18261),f41(x18262))
% 202.05/201.94 [1827]~E(x18271,x18272)+E(f378(x18271,x18273,x18274),f378(x18272,x18273,x18274))
% 202.05/201.94 [1828]~E(x18281,x18282)+E(f378(x18283,x18281,x18284),f378(x18283,x18282,x18284))
% 202.05/201.94 [1829]~E(x18291,x18292)+E(f378(x18293,x18294,x18291),f378(x18293,x18294,x18292))
% 202.05/201.94 [1830]~E(x18301,x18302)+E(f127(x18301,x18303,x18304,x18305,x18306),f127(x18302,x18303,x18304,x18305,x18306))
% 202.05/201.94 [1831]~E(x18311,x18312)+E(f127(x18313,x18311,x18314,x18315,x18316),f127(x18313,x18312,x18314,x18315,x18316))
% 202.05/201.94 [1832]~E(x18321,x18322)+E(f127(x18323,x18324,x18321,x18325,x18326),f127(x18323,x18324,x18322,x18325,x18326))
% 202.05/201.94 [1833]~E(x18331,x18332)+E(f127(x18333,x18334,x18335,x18331,x18336),f127(x18333,x18334,x18335,x18332,x18336))
% 202.05/201.94 [1834]~E(x18341,x18342)+E(f127(x18343,x18344,x18345,x18346,x18341),f127(x18343,x18344,x18345,x18346,x18342))
% 202.05/201.94 [1835]~E(x18351,x18352)+E(f866(x18351,x18353,x18354,x18355),f866(x18352,x18353,x18354,x18355))
% 202.05/201.94 [1836]~E(x18361,x18362)+E(f866(x18363,x18361,x18364,x18365),f866(x18363,x18362,x18364,x18365))
% 202.05/201.94 [1837]~E(x18371,x18372)+E(f866(x18373,x18374,x18371,x18375),f866(x18373,x18374,x18372,x18375))
% 202.05/201.94 [1838]~E(x18381,x18382)+E(f866(x18383,x18384,x18385,x18381),f866(x18383,x18384,x18385,x18382))
% 202.05/201.94 [1839]~E(x18391,x18392)+E(f339(x18391),f339(x18392))
% 202.05/201.94 [1840]~E(x18401,x18402)+E(f611(x18401,x18403,x18404),f611(x18402,x18403,x18404))
% 202.05/201.94 [1841]~E(x18411,x18412)+E(f611(x18413,x18411,x18414),f611(x18413,x18412,x18414))
% 202.05/201.94 [1842]~E(x18421,x18422)+E(f611(x18423,x18424,x18421),f611(x18423,x18424,x18422))
% 202.05/201.94 [1843]~E(x18431,x18432)+E(f724(x18431,x18433,x18434,x18435),f724(x18432,x18433,x18434,x18435))
% 202.05/201.94 [1844]~E(x18441,x18442)+E(f724(x18443,x18441,x18444,x18445),f724(x18443,x18442,x18444,x18445))
% 202.05/201.94 [1845]~E(x18451,x18452)+E(f724(x18453,x18454,x18451,x18455),f724(x18453,x18454,x18452,x18455))
% 202.05/201.94 [1846]~E(x18461,x18462)+E(f724(x18463,x18464,x18465,x18461),f724(x18463,x18464,x18465,x18462))
% 202.05/201.94 [1847]~E(x18471,x18472)+E(f657(x18471,x18473,x18474,x18475),f657(x18472,x18473,x18474,x18475))
% 202.05/201.94 [1848]~E(x18481,x18482)+E(f657(x18483,x18481,x18484,x18485),f657(x18483,x18482,x18484,x18485))
% 202.05/201.94 [1849]~E(x18491,x18492)+E(f657(x18493,x18494,x18491,x18495),f657(x18493,x18494,x18492,x18495))
% 202.05/201.94 [1850]~E(x18501,x18502)+E(f657(x18503,x18504,x18505,x18501),f657(x18503,x18504,x18505,x18502))
% 202.05/201.94 [1851]~E(x18511,x18512)+E(f633(x18511,x18513,x18514,x18515),f633(x18512,x18513,x18514,x18515))
% 202.05/201.94 [1852]~E(x18521,x18522)+E(f633(x18523,x18521,x18524,x18525),f633(x18523,x18522,x18524,x18525))
% 202.05/201.94 [1853]~E(x18531,x18532)+E(f633(x18533,x18534,x18531,x18535),f633(x18533,x18534,x18532,x18535))
% 202.05/201.94 [1854]~E(x18541,x18542)+E(f633(x18543,x18544,x18545,x18541),f633(x18543,x18544,x18545,x18542))
% 202.05/201.94 [1855]~E(x18551,x18552)+E(f870(x18551,x18553,x18554),f870(x18552,x18553,x18554))
% 202.05/201.94 [1856]~E(x18561,x18562)+E(f870(x18563,x18561,x18564),f870(x18563,x18562,x18564))
% 202.05/201.94 [1857]~E(x18571,x18572)+E(f870(x18573,x18574,x18571),f870(x18573,x18574,x18572))
% 202.05/201.94 [1858]~E(x18581,x18582)+E(f565(x18581,x18583,x18584,x18585,x18586,x18587,x18588),f565(x18582,x18583,x18584,x18585,x18586,x18587,x18588))
% 202.05/201.94 [1859]~E(x18591,x18592)+E(f565(x18593,x18591,x18594,x18595,x18596,x18597,x18598),f565(x18593,x18592,x18594,x18595,x18596,x18597,x18598))
% 202.05/201.94 [1860]~E(x18601,x18602)+E(f565(x18603,x18604,x18601,x18605,x18606,x18607,x18608),f565(x18603,x18604,x18602,x18605,x18606,x18607,x18608))
% 202.05/201.94 [1861]~E(x18611,x18612)+E(f565(x18613,x18614,x18615,x18611,x18616,x18617,x18618),f565(x18613,x18614,x18615,x18612,x18616,x18617,x18618))
% 202.05/201.94 [1862]~E(x18621,x18622)+E(f565(x18623,x18624,x18625,x18626,x18621,x18627,x18628),f565(x18623,x18624,x18625,x18626,x18622,x18627,x18628))
% 202.05/201.94 [1863]~E(x18631,x18632)+E(f565(x18633,x18634,x18635,x18636,x18637,x18631,x18638),f565(x18633,x18634,x18635,x18636,x18637,x18632,x18638))
% 202.05/201.94 [1864]~E(x18641,x18642)+E(f565(x18643,x18644,x18645,x18646,x18647,x18648,x18641),f565(x18643,x18644,x18645,x18646,x18647,x18648,x18642))
% 202.05/201.94 [1865]~E(x18651,x18652)+E(f406(x18651,x18653,x18654,x18655,x18656,x18657),f406(x18652,x18653,x18654,x18655,x18656,x18657))
% 202.05/201.94 [1866]~E(x18661,x18662)+E(f406(x18663,x18661,x18664,x18665,x18666,x18667),f406(x18663,x18662,x18664,x18665,x18666,x18667))
% 202.05/201.94 [1867]~E(x18671,x18672)+E(f406(x18673,x18674,x18671,x18675,x18676,x18677),f406(x18673,x18674,x18672,x18675,x18676,x18677))
% 202.05/201.94 [1868]~E(x18681,x18682)+E(f406(x18683,x18684,x18685,x18681,x18686,x18687),f406(x18683,x18684,x18685,x18682,x18686,x18687))
% 202.05/201.94 [1869]~E(x18691,x18692)+E(f406(x18693,x18694,x18695,x18696,x18691,x18697),f406(x18693,x18694,x18695,x18696,x18692,x18697))
% 202.05/201.94 [1870]~E(x18701,x18702)+E(f406(x18703,x18704,x18705,x18706,x18707,x18701),f406(x18703,x18704,x18705,x18706,x18707,x18702))
% 202.05/201.94 [1871]~E(x18711,x18712)+E(f419(x18711,x18713,x18714),f419(x18712,x18713,x18714))
% 202.05/201.94 [1872]~E(x18721,x18722)+E(f419(x18723,x18721,x18724),f419(x18723,x18722,x18724))
% 202.05/201.94 [1873]~E(x18731,x18732)+E(f419(x18733,x18734,x18731),f419(x18733,x18734,x18732))
% 202.05/201.94 [1874]~E(x18741,x18742)+E(f216(x18741,x18743),f216(x18742,x18743))
% 202.05/201.94 [1875]~E(x18751,x18752)+E(f216(x18753,x18751),f216(x18753,x18752))
% 202.05/201.94 [1876]~E(x18761,x18762)+E(f411(x18761,x18763,x18764,x18765,x18766),f411(x18762,x18763,x18764,x18765,x18766))
% 202.05/201.94 [1877]~E(x18771,x18772)+E(f411(x18773,x18771,x18774,x18775,x18776),f411(x18773,x18772,x18774,x18775,x18776))
% 202.05/201.94 [1878]~E(x18781,x18782)+E(f411(x18783,x18784,x18781,x18785,x18786),f411(x18783,x18784,x18782,x18785,x18786))
% 202.05/201.94 [1879]~E(x18791,x18792)+E(f411(x18793,x18794,x18795,x18791,x18796),f411(x18793,x18794,x18795,x18792,x18796))
% 202.05/201.94 [1880]~E(x18801,x18802)+E(f411(x18803,x18804,x18805,x18806,x18801),f411(x18803,x18804,x18805,x18806,x18802))
% 202.05/201.94 [1881]~E(x18811,x18812)+E(f882(x18811,x18813,x18814,x18815,x18816),f882(x18812,x18813,x18814,x18815,x18816))
% 202.05/201.94 [1882]~E(x18821,x18822)+E(f882(x18823,x18821,x18824,x18825,x18826),f882(x18823,x18822,x18824,x18825,x18826))
% 202.05/201.94 [1883]~E(x18831,x18832)+E(f882(x18833,x18834,x18831,x18835,x18836),f882(x18833,x18834,x18832,x18835,x18836))
% 202.05/201.94 [1884]~E(x18841,x18842)+E(f882(x18843,x18844,x18845,x18841,x18846),f882(x18843,x18844,x18845,x18842,x18846))
% 202.05/201.94 [1885]~E(x18851,x18852)+E(f882(x18853,x18854,x18855,x18856,x18851),f882(x18853,x18854,x18855,x18856,x18852))
% 202.05/201.94 [1886]~E(x18861,x18862)+E(f790(x18861,x18863),f790(x18862,x18863))
% 202.05/201.94 [1887]~E(x18871,x18872)+E(f790(x18873,x18871),f790(x18873,x18872))
% 202.05/201.94 [1888]~E(x18881,x18882)+E(f656(x18881,x18883,x18884,x18885),f656(x18882,x18883,x18884,x18885))
% 202.05/201.94 [1889]~E(x18891,x18892)+E(f656(x18893,x18891,x18894,x18895),f656(x18893,x18892,x18894,x18895))
% 202.05/201.94 [1890]~E(x18901,x18902)+E(f656(x18903,x18904,x18901,x18905),f656(x18903,x18904,x18902,x18905))
% 202.05/201.94 [1891]~E(x18911,x18912)+E(f656(x18913,x18914,x18915,x18911),f656(x18913,x18914,x18915,x18912))
% 202.05/201.94 [1892]~E(x18921,x18922)+E(f728(x18921,x18923),f728(x18922,x18923))
% 202.05/201.94 [1893]~E(x18931,x18932)+E(f728(x18933,x18931),f728(x18933,x18932))
% 202.05/201.94 [1894]~E(x18941,x18942)+E(f203(x18941,x18943,x18944),f203(x18942,x18943,x18944))
% 202.05/201.94 [1895]~E(x18951,x18952)+E(f203(x18953,x18951,x18954),f203(x18953,x18952,x18954))
% 202.05/201.94 [1896]~E(x18961,x18962)+E(f203(x18963,x18964,x18961),f203(x18963,x18964,x18962))
% 202.05/201.94 [1897]~E(x18971,x18972)+E(f699(x18971,x18973),f699(x18972,x18973))
% 202.05/201.94 [1898]~E(x18981,x18982)+E(f699(x18983,x18981),f699(x18983,x18982))
% 202.05/201.94 [1899]~E(x18991,x18992)+E(f527(x18991,x18993,x18994),f527(x18992,x18993,x18994))
% 202.05/201.94 [1900]~E(x19001,x19002)+E(f527(x19003,x19001,x19004),f527(x19003,x19002,x19004))
% 202.05/201.94 [1901]~E(x19011,x19012)+E(f527(x19013,x19014,x19011),f527(x19013,x19014,x19012))
% 202.05/201.94 [1902]~E(x19021,x19022)+E(f766(x19021,x19023,x19024,x19025),f766(x19022,x19023,x19024,x19025))
% 202.05/201.94 [1903]~E(x19031,x19032)+E(f766(x19033,x19031,x19034,x19035),f766(x19033,x19032,x19034,x19035))
% 202.05/201.94 [1904]~E(x19041,x19042)+E(f766(x19043,x19044,x19041,x19045),f766(x19043,x19044,x19042,x19045))
% 202.05/201.94 [1905]~E(x19051,x19052)+E(f766(x19053,x19054,x19055,x19051),f766(x19053,x19054,x19055,x19052))
% 202.05/201.94 [1906]~E(x19061,x19062)+E(f762(x19061,x19063,x19064,x19065,x19066),f762(x19062,x19063,x19064,x19065,x19066))
% 202.05/201.94 [1907]~E(x19071,x19072)+E(f762(x19073,x19071,x19074,x19075,x19076),f762(x19073,x19072,x19074,x19075,x19076))
% 202.05/201.94 [1908]~E(x19081,x19082)+E(f762(x19083,x19084,x19081,x19085,x19086),f762(x19083,x19084,x19082,x19085,x19086))
% 202.05/201.94 [1909]~E(x19091,x19092)+E(f762(x19093,x19094,x19095,x19091,x19096),f762(x19093,x19094,x19095,x19092,x19096))
% 202.05/201.94 [1910]~E(x19101,x19102)+E(f762(x19103,x19104,x19105,x19106,x19101),f762(x19103,x19104,x19105,x19106,x19102))
% 202.05/201.94 [1911]~E(x19111,x19112)+E(f860(x19111,x19113,x19114,x19115),f860(x19112,x19113,x19114,x19115))
% 202.05/201.94 [1912]~E(x19121,x19122)+E(f860(x19123,x19121,x19124,x19125),f860(x19123,x19122,x19124,x19125))
% 202.05/201.94 [1913]~E(x19131,x19132)+E(f860(x19133,x19134,x19131,x19135),f860(x19133,x19134,x19132,x19135))
% 202.05/201.94 [1914]~E(x19141,x19142)+E(f860(x19143,x19144,x19145,x19141),f860(x19143,x19144,x19145,x19142))
% 202.05/201.94 [1915]~E(x19151,x19152)+E(f781(x19151,x19153,x19154,x19155),f781(x19152,x19153,x19154,x19155))
% 202.05/201.94 [1916]~E(x19161,x19162)+E(f781(x19163,x19161,x19164,x19165),f781(x19163,x19162,x19164,x19165))
% 202.05/201.94 [1917]~E(x19171,x19172)+E(f781(x19173,x19174,x19171,x19175),f781(x19173,x19174,x19172,x19175))
% 202.05/201.94 [1918]~E(x19181,x19182)+E(f781(x19183,x19184,x19185,x19181),f781(x19183,x19184,x19185,x19182))
% 202.05/201.94 [1919]~E(x19191,x19192)+E(f546(x19191,x19193,x19194,x19195),f546(x19192,x19193,x19194,x19195))
% 202.05/201.94 [1920]~E(x19201,x19202)+E(f546(x19203,x19201,x19204,x19205),f546(x19203,x19202,x19204,x19205))
% 202.05/201.94 [1921]~E(x19211,x19212)+E(f546(x19213,x19214,x19211,x19215),f546(x19213,x19214,x19212,x19215))
% 202.05/201.94 [1922]~E(x19221,x19222)+E(f546(x19223,x19224,x19225,x19221),f546(x19223,x19224,x19225,x19222))
% 202.05/201.94 [1923]~E(x19231,x19232)+E(f858(x19231,x19233,x19234,x19235),f858(x19232,x19233,x19234,x19235))
% 202.05/201.94 [1924]~E(x19241,x19242)+E(f858(x19243,x19241,x19244,x19245),f858(x19243,x19242,x19244,x19245))
% 202.05/201.94 [1925]~E(x19251,x19252)+E(f858(x19253,x19254,x19251,x19255),f858(x19253,x19254,x19252,x19255))
% 202.05/201.94 [1926]~E(x19261,x19262)+E(f858(x19263,x19264,x19265,x19261),f858(x19263,x19264,x19265,x19262))
% 202.05/201.94 [1927]~E(x19271,x19272)+E(f892(x19271,x19273,x19274),f892(x19272,x19273,x19274))
% 202.05/201.94 [1928]~E(x19281,x19282)+E(f892(x19283,x19281,x19284),f892(x19283,x19282,x19284))
% 202.05/201.94 [1929]~E(x19291,x19292)+E(f892(x19293,x19294,x19291),f892(x19293,x19294,x19292))
% 202.05/201.94 [1930]~E(x19301,x19302)+E(f689(x19301,x19303),f689(x19302,x19303))
% 202.05/201.94 [1931]~E(x19311,x19312)+E(f689(x19313,x19311),f689(x19313,x19312))
% 202.05/201.94 [1932]~E(x19321,x19322)+E(f211(x19321,x19323,x19324,x19325,x19326,x19327,x19328),f211(x19322,x19323,x19324,x19325,x19326,x19327,x19328))
% 202.05/201.94 [1933]~E(x19331,x19332)+E(f211(x19333,x19331,x19334,x19335,x19336,x19337,x19338),f211(x19333,x19332,x19334,x19335,x19336,x19337,x19338))
% 202.05/201.94 [1934]~E(x19341,x19342)+E(f211(x19343,x19344,x19341,x19345,x19346,x19347,x19348),f211(x19343,x19344,x19342,x19345,x19346,x19347,x19348))
% 202.05/201.94 [1935]~E(x19351,x19352)+E(f211(x19353,x19354,x19355,x19351,x19356,x19357,x19358),f211(x19353,x19354,x19355,x19352,x19356,x19357,x19358))
% 202.05/201.94 [1936]~E(x19361,x19362)+E(f211(x19363,x19364,x19365,x19366,x19361,x19367,x19368),f211(x19363,x19364,x19365,x19366,x19362,x19367,x19368))
% 202.05/201.94 [1937]~E(x19371,x19372)+E(f211(x19373,x19374,x19375,x19376,x19377,x19371,x19378),f211(x19373,x19374,x19375,x19376,x19377,x19372,x19378))
% 202.05/201.94 [1938]~E(x19381,x19382)+E(f211(x19383,x19384,x19385,x19386,x19387,x19388,x19381),f211(x19383,x19384,x19385,x19386,x19387,x19388,x19382))
% 202.05/201.94 [1939]~E(x19391,x19392)+E(f391(x19391,x19393,x19394),f391(x19392,x19393,x19394))
% 202.05/201.94 [1940]~E(x19401,x19402)+E(f391(x19403,x19401,x19404),f391(x19403,x19402,x19404))
% 202.05/201.94 [1941]~E(x19411,x19412)+E(f391(x19413,x19414,x19411),f391(x19413,x19414,x19412))
% 202.05/201.94 [1942]~E(x19421,x19422)+E(f803(x19421,x19423,x19424,x19425,x19426,x19427),f803(x19422,x19423,x19424,x19425,x19426,x19427))
% 202.05/201.94 [1943]~E(x19431,x19432)+E(f803(x19433,x19431,x19434,x19435,x19436,x19437),f803(x19433,x19432,x19434,x19435,x19436,x19437))
% 202.05/201.94 [1944]~E(x19441,x19442)+E(f803(x19443,x19444,x19441,x19445,x19446,x19447),f803(x19443,x19444,x19442,x19445,x19446,x19447))
% 202.05/201.94 [1945]~E(x19451,x19452)+E(f803(x19453,x19454,x19455,x19451,x19456,x19457),f803(x19453,x19454,x19455,x19452,x19456,x19457))
% 202.05/201.94 [1946]~E(x19461,x19462)+E(f803(x19463,x19464,x19465,x19466,x19461,x19467),f803(x19463,x19464,x19465,x19466,x19462,x19467))
% 202.05/201.94 [1947]~E(x19471,x19472)+E(f803(x19473,x19474,x19475,x19476,x19477,x19471),f803(x19473,x19474,x19475,x19476,x19477,x19472))
% 202.05/201.94 [1948]~E(x19481,x19482)+E(f202(x19481,x19483),f202(x19482,x19483))
% 202.05/201.94 [1949]~E(x19491,x19492)+E(f202(x19493,x19491),f202(x19493,x19492))
% 202.05/201.94 [1950]~E(x19501,x19502)+E(f606(x19501,x19503,x19504),f606(x19502,x19503,x19504))
% 202.05/201.94 [1951]~E(x19511,x19512)+E(f606(x19513,x19511,x19514),f606(x19513,x19512,x19514))
% 202.05/201.94 [1952]~E(x19521,x19522)+E(f606(x19523,x19524,x19521),f606(x19523,x19524,x19522))
% 202.05/201.94 [1953]~E(x19531,x19532)+E(f749(x19531,x19533,x19534),f749(x19532,x19533,x19534))
% 202.05/201.94 [1954]~E(x19541,x19542)+E(f749(x19543,x19541,x19544),f749(x19543,x19542,x19544))
% 202.05/201.94 [1955]~E(x19551,x19552)+E(f749(x19553,x19554,x19551),f749(x19553,x19554,x19552))
% 202.05/201.94 [1956]~E(x19561,x19562)+E(f742(x19561,x19563,x19564),f742(x19562,x19563,x19564))
% 202.05/201.94 [1957]~E(x19571,x19572)+E(f742(x19573,x19571,x19574),f742(x19573,x19572,x19574))
% 202.05/201.94 [1958]~E(x19581,x19582)+E(f742(x19583,x19584,x19581),f742(x19583,x19584,x19582))
% 202.05/201.94 [1959]~E(x19591,x19592)+E(f208(x19591),f208(x19592))
% 202.05/201.94 [1960]~E(x19601,x19602)+E(f140(x19601,x19603,x19604),f140(x19602,x19603,x19604))
% 202.05/201.94 [1961]~E(x19611,x19612)+E(f140(x19613,x19611,x19614),f140(x19613,x19612,x19614))
% 202.05/201.94 [1962]~E(x19621,x19622)+E(f140(x19623,x19624,x19621),f140(x19623,x19624,x19622))
% 202.05/201.94 [1963]~E(x19631,x19632)+E(f574(x19631,x19633,x19634),f574(x19632,x19633,x19634))
% 202.05/201.94 [1964]~E(x19641,x19642)+E(f574(x19643,x19641,x19644),f574(x19643,x19642,x19644))
% 202.05/201.94 [1965]~E(x19651,x19652)+E(f574(x19653,x19654,x19651),f574(x19653,x19654,x19652))
% 202.05/201.94 [1966]~E(x19661,x19662)+E(f346(x19661,x19663,x19664,x19665,x19666),f346(x19662,x19663,x19664,x19665,x19666))
% 202.05/201.94 [1967]~E(x19671,x19672)+E(f346(x19673,x19671,x19674,x19675,x19676),f346(x19673,x19672,x19674,x19675,x19676))
% 202.05/201.94 [1968]~E(x19681,x19682)+E(f346(x19683,x19684,x19681,x19685,x19686),f346(x19683,x19684,x19682,x19685,x19686))
% 202.05/201.94 [1969]~E(x19691,x19692)+E(f346(x19693,x19694,x19695,x19691,x19696),f346(x19693,x19694,x19695,x19692,x19696))
% 202.05/201.94 [1970]~E(x19701,x19702)+E(f346(x19703,x19704,x19705,x19706,x19701),f346(x19703,x19704,x19705,x19706,x19702))
% 202.05/201.94 [1971]~E(x19711,x19712)+E(f374(x19711,x19713,x19714),f374(x19712,x19713,x19714))
% 202.05/201.94 [1972]~E(x19721,x19722)+E(f374(x19723,x19721,x19724),f374(x19723,x19722,x19724))
% 202.05/201.94 [1973]~E(x19731,x19732)+E(f374(x19733,x19734,x19731),f374(x19733,x19734,x19732))
% 202.05/201.94 [1974]~E(x19741,x19742)+E(f347(x19741,x19743,x19744),f347(x19742,x19743,x19744))
% 202.05/201.94 [1975]~E(x19751,x19752)+E(f347(x19753,x19751,x19754),f347(x19753,x19752,x19754))
% 202.05/201.94 [1976]~E(x19761,x19762)+E(f347(x19763,x19764,x19761),f347(x19763,x19764,x19762))
% 202.05/201.94 [1977]~E(x19771,x19772)+E(f364(x19771,x19773,x19774),f364(x19772,x19773,x19774))
% 202.05/201.94 [1978]~E(x19781,x19782)+E(f364(x19783,x19781,x19784),f364(x19783,x19782,x19784))
% 202.05/201.94 [1979]~E(x19791,x19792)+E(f364(x19793,x19794,x19791),f364(x19793,x19794,x19792))
% 202.05/201.94 [1980]~E(x19801,x19802)+E(f705(x19801,x19803),f705(x19802,x19803))
% 202.05/201.94 [1981]~E(x19811,x19812)+E(f705(x19813,x19811),f705(x19813,x19812))
% 202.05/201.94 [1982]~E(x19821,x19822)+E(f777(x19821,x19823,x19824,x19825,x19826,x19827,x19828),f777(x19822,x19823,x19824,x19825,x19826,x19827,x19828))
% 202.05/201.94 [1983]~E(x19831,x19832)+E(f777(x19833,x19831,x19834,x19835,x19836,x19837,x19838),f777(x19833,x19832,x19834,x19835,x19836,x19837,x19838))
% 202.05/201.94 [1984]~E(x19841,x19842)+E(f777(x19843,x19844,x19841,x19845,x19846,x19847,x19848),f777(x19843,x19844,x19842,x19845,x19846,x19847,x19848))
% 202.05/201.94 [1985]~E(x19851,x19852)+E(f777(x19853,x19854,x19855,x19851,x19856,x19857,x19858),f777(x19853,x19854,x19855,x19852,x19856,x19857,x19858))
% 202.05/201.94 [1986]~E(x19861,x19862)+E(f777(x19863,x19864,x19865,x19866,x19861,x19867,x19868),f777(x19863,x19864,x19865,x19866,x19862,x19867,x19868))
% 202.05/201.94 [1987]~E(x19871,x19872)+E(f777(x19873,x19874,x19875,x19876,x19877,x19871,x19878),f777(x19873,x19874,x19875,x19876,x19877,x19872,x19878))
% 202.05/201.94 [1988]~E(x19881,x19882)+E(f777(x19883,x19884,x19885,x19886,x19887,x19888,x19881),f777(x19883,x19884,x19885,x19886,x19887,x19888,x19882))
% 202.05/201.94 [1989]~E(x19891,x19892)+E(f363(x19891,x19893,x19894),f363(x19892,x19893,x19894))
% 202.05/201.94 [1990]~E(x19901,x19902)+E(f363(x19903,x19901,x19904),f363(x19903,x19902,x19904))
% 202.05/201.94 [1991]~E(x19911,x19912)+E(f363(x19913,x19914,x19911),f363(x19913,x19914,x19912))
% 202.05/201.94 [1992]~E(x19921,x19922)+E(f838(x19921,x19923,x19924,x19925,x19926,x19927),f838(x19922,x19923,x19924,x19925,x19926,x19927))
% 202.05/201.94 [1993]~E(x19931,x19932)+E(f838(x19933,x19931,x19934,x19935,x19936,x19937),f838(x19933,x19932,x19934,x19935,x19936,x19937))
% 202.05/201.94 [1994]~E(x19941,x19942)+E(f838(x19943,x19944,x19941,x19945,x19946,x19947),f838(x19943,x19944,x19942,x19945,x19946,x19947))
% 202.05/201.94 [1995]~E(x19951,x19952)+E(f838(x19953,x19954,x19955,x19951,x19956,x19957),f838(x19953,x19954,x19955,x19952,x19956,x19957))
% 202.05/201.94 [1996]~E(x19961,x19962)+E(f838(x19963,x19964,x19965,x19966,x19961,x19967),f838(x19963,x19964,x19965,x19966,x19962,x19967))
% 202.05/201.94 [1997]~E(x19971,x19972)+E(f838(x19973,x19974,x19975,x19976,x19977,x19971),f838(x19973,x19974,x19975,x19976,x19977,x19972))
% 202.05/201.94 [1998]~E(x19981,x19982)+E(f679(x19981,x19983,x19984),f679(x19982,x19983,x19984))
% 202.05/201.94 [1999]~E(x19991,x19992)+E(f679(x19993,x19991,x19994),f679(x19993,x19992,x19994))
% 202.05/201.94 [2000]~E(x20001,x20002)+E(f679(x20003,x20004,x20001),f679(x20003,x20004,x20002))
% 202.05/201.94 [2001]~E(x20011,x20012)+E(f615(x20011,x20013,x20014),f615(x20012,x20013,x20014))
% 202.05/201.94 [2002]~E(x20021,x20022)+E(f615(x20023,x20021,x20024),f615(x20023,x20022,x20024))
% 202.05/201.94 [2003]~E(x20031,x20032)+E(f615(x20033,x20034,x20031),f615(x20033,x20034,x20032))
% 202.05/201.94 [2004]~E(x20041,x20042)+E(f808(x20041,x20043,x20044),f808(x20042,x20043,x20044))
% 202.05/201.94 [2005]~E(x20051,x20052)+E(f808(x20053,x20051,x20054),f808(x20053,x20052,x20054))
% 202.05/201.94 [2006]~E(x20061,x20062)+E(f808(x20063,x20064,x20061),f808(x20063,x20064,x20062))
% 202.05/201.94 [2007]~E(x20071,x20072)+E(f508(x20071,x20073,x20074,x20075),f508(x20072,x20073,x20074,x20075))
% 202.05/201.94 [2008]~E(x20081,x20082)+E(f508(x20083,x20081,x20084,x20085),f508(x20083,x20082,x20084,x20085))
% 202.05/201.94 [2009]~E(x20091,x20092)+E(f508(x20093,x20094,x20091,x20095),f508(x20093,x20094,x20092,x20095))
% 202.05/201.94 [2010]~E(x20101,x20102)+E(f508(x20103,x20104,x20105,x20101),f508(x20103,x20104,x20105,x20102))
% 202.05/201.94 [2011]~E(x20111,x20112)+E(f596(x20111,x20113,x20114,x20115,x20116,x20117,x20118,x20119),f596(x20112,x20113,x20114,x20115,x20116,x20117,x20118,x20119))
% 202.05/201.94 [2012]~E(x20121,x20122)+E(f596(x20123,x20121,x20124,x20125,x20126,x20127,x20128,x20129),f596(x20123,x20122,x20124,x20125,x20126,x20127,x20128,x20129))
% 202.05/201.94 [2013]~E(x20131,x20132)+E(f596(x20133,x20134,x20131,x20135,x20136,x20137,x20138,x20139),f596(x20133,x20134,x20132,x20135,x20136,x20137,x20138,x20139))
% 202.05/201.94 [2014]~E(x20141,x20142)+E(f596(x20143,x20144,x20145,x20141,x20146,x20147,x20148,x20149),f596(x20143,x20144,x20145,x20142,x20146,x20147,x20148,x20149))
% 202.05/201.94 [2015]~E(x20151,x20152)+E(f596(x20153,x20154,x20155,x20156,x20151,x20157,x20158,x20159),f596(x20153,x20154,x20155,x20156,x20152,x20157,x20158,x20159))
% 202.05/201.94 [2016]~E(x20161,x20162)+E(f596(x20163,x20164,x20165,x20166,x20167,x20161,x20168,x20169),f596(x20163,x20164,x20165,x20166,x20167,x20162,x20168,x20169))
% 202.05/201.94 [2017]~E(x20171,x20172)+E(f596(x20173,x20174,x20175,x20176,x20177,x20178,x20171,x20179),f596(x20173,x20174,x20175,x20176,x20177,x20178,x20172,x20179))
% 202.05/201.94 [2018]~E(x20181,x20182)+E(f596(x20183,x20184,x20185,x20186,x20187,x20188,x20189,x20181),f596(x20183,x20184,x20185,x20186,x20187,x20188,x20189,x20182))
% 202.05/201.94 [2019]~E(x20191,x20192)+E(f384(x20191,x20193,x20194),f384(x20192,x20193,x20194))
% 202.05/201.94 [2020]~E(x20201,x20202)+E(f384(x20203,x20201,x20204),f384(x20203,x20202,x20204))
% 202.05/201.94 [2021]~E(x20211,x20212)+E(f384(x20213,x20214,x20211),f384(x20213,x20214,x20212))
% 202.05/201.94 [2022]~E(x20221,x20222)+E(f864(x20221,x20223,x20224),f864(x20222,x20223,x20224))
% 202.05/201.94 [2023]~E(x20231,x20232)+E(f864(x20233,x20231,x20234),f864(x20233,x20232,x20234))
% 202.05/201.94 [2024]~E(x20241,x20242)+E(f864(x20243,x20244,x20241),f864(x20243,x20244,x20242))
% 202.05/201.94 [2025]~E(x20251,x20252)+E(f519(x20251,x20253,x20254,x20255),f519(x20252,x20253,x20254,x20255))
% 202.05/201.94 [2026]~E(x20261,x20262)+E(f519(x20263,x20261,x20264,x20265),f519(x20263,x20262,x20264,x20265))
% 202.05/201.94 [2027]~E(x20271,x20272)+E(f519(x20273,x20274,x20271,x20275),f519(x20273,x20274,x20272,x20275))
% 202.05/201.94 [2028]~E(x20281,x20282)+E(f519(x20283,x20284,x20285,x20281),f519(x20283,x20284,x20285,x20282))
% 202.05/201.94 [2029]~E(x20291,x20292)+E(f291(x20291,x20293),f291(x20292,x20293))
% 202.05/201.94 [2030]~E(x20301,x20302)+E(f291(x20303,x20301),f291(x20303,x20302))
% 202.05/201.94 [2031]~E(x20311,x20312)+E(f646(x20311,x20313,x20314),f646(x20312,x20313,x20314))
% 202.05/201.94 [2032]~E(x20321,x20322)+E(f646(x20323,x20321,x20324),f646(x20323,x20322,x20324))
% 202.05/201.94 [2033]~E(x20331,x20332)+E(f646(x20333,x20334,x20331),f646(x20333,x20334,x20332))
% 202.05/201.94 [2034]~E(x20341,x20342)+E(f426(x20341,x20343,x20344,x20345),f426(x20342,x20343,x20344,x20345))
% 202.05/201.94 [2035]~E(x20351,x20352)+E(f426(x20353,x20351,x20354,x20355),f426(x20353,x20352,x20354,x20355))
% 202.05/201.94 [2036]~E(x20361,x20362)+E(f426(x20363,x20364,x20361,x20365),f426(x20363,x20364,x20362,x20365))
% 202.05/201.94 [2037]~E(x20371,x20372)+E(f426(x20373,x20374,x20375,x20371),f426(x20373,x20374,x20375,x20372))
% 202.05/201.94 [2038]~E(x20381,x20382)+E(f455(x20381,x20383,x20384,x20385),f455(x20382,x20383,x20384,x20385))
% 202.05/201.94 [2039]~E(x20391,x20392)+E(f455(x20393,x20391,x20394,x20395),f455(x20393,x20392,x20394,x20395))
% 202.05/201.94 [2040]~E(x20401,x20402)+E(f455(x20403,x20404,x20401,x20405),f455(x20403,x20404,x20402,x20405))
% 202.05/201.94 [2041]~E(x20411,x20412)+E(f455(x20413,x20414,x20415,x20411),f455(x20413,x20414,x20415,x20412))
% 202.05/201.94 [2042]~E(x20421,x20422)+E(f840(x20421,x20423,x20424,x20425,x20426,x20427),f840(x20422,x20423,x20424,x20425,x20426,x20427))
% 202.05/201.94 [2043]~E(x20431,x20432)+E(f840(x20433,x20431,x20434,x20435,x20436,x20437),f840(x20433,x20432,x20434,x20435,x20436,x20437))
% 202.05/201.94 [2044]~E(x20441,x20442)+E(f840(x20443,x20444,x20441,x20445,x20446,x20447),f840(x20443,x20444,x20442,x20445,x20446,x20447))
% 202.05/201.94 [2045]~E(x20451,x20452)+E(f840(x20453,x20454,x20455,x20451,x20456,x20457),f840(x20453,x20454,x20455,x20452,x20456,x20457))
% 202.05/201.94 [2046]~E(x20461,x20462)+E(f840(x20463,x20464,x20465,x20466,x20461,x20467),f840(x20463,x20464,x20465,x20466,x20462,x20467))
% 202.05/201.94 [2047]~E(x20471,x20472)+E(f840(x20473,x20474,x20475,x20476,x20477,x20471),f840(x20473,x20474,x20475,x20476,x20477,x20472))
% 202.05/201.94 [2048]~E(x20481,x20482)+E(f501(x20481,x20483,x20484,x20485),f501(x20482,x20483,x20484,x20485))
% 202.05/201.94 [2049]~E(x20491,x20492)+E(f501(x20493,x20491,x20494,x20495),f501(x20493,x20492,x20494,x20495))
% 202.05/201.94 [2050]~E(x20501,x20502)+E(f501(x20503,x20504,x20501,x20505),f501(x20503,x20504,x20502,x20505))
% 202.05/201.94 [2051]~E(x20511,x20512)+E(f501(x20513,x20514,x20515,x20511),f501(x20513,x20514,x20515,x20512))
% 202.05/201.94 [2052]~E(x20521,x20522)+E(f884(x20521,x20523,x20524,x20525,x20526),f884(x20522,x20523,x20524,x20525,x20526))
% 202.05/201.94 [2053]~E(x20531,x20532)+E(f884(x20533,x20531,x20534,x20535,x20536),f884(x20533,x20532,x20534,x20535,x20536))
% 202.05/201.94 [2054]~E(x20541,x20542)+E(f884(x20543,x20544,x20541,x20545,x20546),f884(x20543,x20544,x20542,x20545,x20546))
% 202.05/201.94 [2055]~E(x20551,x20552)+E(f884(x20553,x20554,x20555,x20551,x20556),f884(x20553,x20554,x20555,x20552,x20556))
% 202.05/201.94 [2056]~E(x20561,x20562)+E(f884(x20563,x20564,x20565,x20566,x20561),f884(x20563,x20564,x20565,x20566,x20562))
% 202.05/201.94 [2057]~E(x20571,x20572)+E(f666(x20571,x20573,x20574),f666(x20572,x20573,x20574))
% 202.05/201.94 [2058]~E(x20581,x20582)+E(f666(x20583,x20581,x20584),f666(x20583,x20582,x20584))
% 202.05/201.94 [2059]~E(x20591,x20592)+E(f666(x20593,x20594,x20591),f666(x20593,x20594,x20592))
% 202.05/201.94 [2060]~E(x20601,x20602)+E(f118(x20601,x20603,x20604),f118(x20602,x20603,x20604))
% 202.05/201.94 [2061]~E(x20611,x20612)+E(f118(x20613,x20611,x20614),f118(x20613,x20612,x20614))
% 202.05/201.94 [2062]~E(x20621,x20622)+E(f118(x20623,x20624,x20621),f118(x20623,x20624,x20622))
% 202.05/201.94 [2063]~E(x20631,x20632)+E(f628(x20631,x20633,x20634,x20635,x20636),f628(x20632,x20633,x20634,x20635,x20636))
% 202.05/201.94 [2064]~E(x20641,x20642)+E(f628(x20643,x20641,x20644,x20645,x20646),f628(x20643,x20642,x20644,x20645,x20646))
% 202.05/201.94 [2065]~E(x20651,x20652)+E(f628(x20653,x20654,x20651,x20655,x20656),f628(x20653,x20654,x20652,x20655,x20656))
% 202.05/201.94 [2066]~E(x20661,x20662)+E(f628(x20663,x20664,x20665,x20661,x20666),f628(x20663,x20664,x20665,x20662,x20666))
% 202.05/201.94 [2067]~E(x20671,x20672)+E(f628(x20673,x20674,x20675,x20676,x20671),f628(x20673,x20674,x20675,x20676,x20672))
% 202.05/201.94 [2068]~E(x20681,x20682)+E(f644(x20681,x20683,x20684,x20685,x20686),f644(x20682,x20683,x20684,x20685,x20686))
% 202.05/201.94 [2069]~E(x20691,x20692)+E(f644(x20693,x20691,x20694,x20695,x20696),f644(x20693,x20692,x20694,x20695,x20696))
% 202.05/201.94 [2070]~E(x20701,x20702)+E(f644(x20703,x20704,x20701,x20705,x20706),f644(x20703,x20704,x20702,x20705,x20706))
% 202.05/201.94 [2071]~E(x20711,x20712)+E(f644(x20713,x20714,x20715,x20711,x20716),f644(x20713,x20714,x20715,x20712,x20716))
% 202.05/201.94 [2072]~E(x20721,x20722)+E(f644(x20723,x20724,x20725,x20726,x20721),f644(x20723,x20724,x20725,x20726,x20722))
% 202.05/201.94 [2073]~E(x20731,x20732)+E(f273(x20731,x20733,x20734),f273(x20732,x20733,x20734))
% 202.05/201.94 [2074]~E(x20741,x20742)+E(f273(x20743,x20741,x20744),f273(x20743,x20742,x20744))
% 202.05/201.94 [2075]~E(x20751,x20752)+E(f273(x20753,x20754,x20751),f273(x20753,x20754,x20752))
% 202.05/201.94 [2076]~E(x20761,x20762)+E(f665(x20761,x20763,x20764),f665(x20762,x20763,x20764))
% 202.05/201.94 [2077]~E(x20771,x20772)+E(f665(x20773,x20771,x20774),f665(x20773,x20772,x20774))
% 202.05/201.94 [2078]~E(x20781,x20782)+E(f665(x20783,x20784,x20781),f665(x20783,x20784,x20782))
% 202.05/201.94 [2079]~E(x20791,x20792)+E(f358(x20791),f358(x20792))
% 202.05/201.94 [2080]~E(x20801,x20802)+E(f204(x20801),f204(x20802))
% 202.05/201.94 [2081]~E(x20811,x20812)+E(f73(x20811,x20813),f73(x20812,x20813))
% 202.05/201.94 [2082]~E(x20821,x20822)+E(f73(x20823,x20821),f73(x20823,x20822))
% 202.05/201.94 [2083]~E(x20831,x20832)+E(f607(x20831,x20833,x20834),f607(x20832,x20833,x20834))
% 202.05/201.94 [2084]~E(x20841,x20842)+E(f607(x20843,x20841,x20844),f607(x20843,x20842,x20844))
% 202.05/201.94 [2085]~E(x20851,x20852)+E(f607(x20853,x20854,x20851),f607(x20853,x20854,x20852))
% 202.05/201.94 [2086]~E(x20861,x20862)+E(f788(x20861,x20863),f788(x20862,x20863))
% 202.05/201.94 [2087]~E(x20871,x20872)+E(f788(x20873,x20871),f788(x20873,x20872))
% 202.05/201.94 [2088]~E(x20881,x20882)+E(f846(x20881),f846(x20882))
% 202.05/201.94 [2089]~E(x20891,x20892)+E(f493(x20891,x20893,x20894,x20895,x20896),f493(x20892,x20893,x20894,x20895,x20896))
% 202.05/201.94 [2090]~E(x20901,x20902)+E(f493(x20903,x20901,x20904,x20905,x20906),f493(x20903,x20902,x20904,x20905,x20906))
% 202.05/201.94 [2091]~E(x20911,x20912)+E(f493(x20913,x20914,x20911,x20915,x20916),f493(x20913,x20914,x20912,x20915,x20916))
% 202.05/201.94 [2092]~E(x20921,x20922)+E(f493(x20923,x20924,x20925,x20921,x20926),f493(x20923,x20924,x20925,x20922,x20926))
% 202.05/201.94 [2093]~E(x20931,x20932)+E(f493(x20933,x20934,x20935,x20936,x20931),f493(x20933,x20934,x20935,x20936,x20932))
% 202.05/201.94 [2094]~E(x20941,x20942)+E(f124(x20941),f124(x20942))
% 202.05/201.94 [2095]~E(x20951,x20952)+E(f593(x20951,x20953,x20954,x20955,x20956),f593(x20952,x20953,x20954,x20955,x20956))
% 202.05/201.94 [2096]~E(x20961,x20962)+E(f593(x20963,x20961,x20964,x20965,x20966),f593(x20963,x20962,x20964,x20965,x20966))
% 202.05/201.94 [2097]~E(x20971,x20972)+E(f593(x20973,x20974,x20971,x20975,x20976),f593(x20973,x20974,x20972,x20975,x20976))
% 202.05/201.94 [2098]~E(x20981,x20982)+E(f593(x20983,x20984,x20985,x20981,x20986),f593(x20983,x20984,x20985,x20982,x20986))
% 202.05/201.94 [2099]~E(x20991,x20992)+E(f593(x20993,x20994,x20995,x20996,x20991),f593(x20993,x20994,x20995,x20996,x20992))
% 202.05/201.94 [2100]~E(x21001,x21002)+E(f700(x21001,x21003,x21004),f700(x21002,x21003,x21004))
% 202.05/201.94 [2101]~E(x21011,x21012)+E(f700(x21013,x21011,x21014),f700(x21013,x21012,x21014))
% 202.05/201.94 [2102]~E(x21021,x21022)+E(f700(x21023,x21024,x21021),f700(x21023,x21024,x21022))
% 202.05/201.94 [2103]~E(x21031,x21032)+E(f351(x21031,x21033,x21034),f351(x21032,x21033,x21034))
% 202.05/201.94 [2104]~E(x21041,x21042)+E(f351(x21043,x21041,x21044),f351(x21043,x21042,x21044))
% 202.05/201.94 [2105]~E(x21051,x21052)+E(f351(x21053,x21054,x21051),f351(x21053,x21054,x21052))
% 202.05/201.94 [2106]~E(x21061,x21062)+E(f584(x21061,x21063),f584(x21062,x21063))
% 202.05/201.94 [2107]~E(x21071,x21072)+E(f584(x21073,x21071),f584(x21073,x21072))
% 202.05/201.94 [2108]~E(x21081,x21082)+E(f379(x21081,x21083,x21084),f379(x21082,x21083,x21084))
% 202.05/201.94 [2109]~E(x21091,x21092)+E(f379(x21093,x21091,x21094),f379(x21093,x21092,x21094))
% 202.05/201.94 [2110]~E(x21101,x21102)+E(f379(x21103,x21104,x21101),f379(x21103,x21104,x21102))
% 202.05/201.94 [2111]~E(x21111,x21112)+E(f488(x21111,x21113,x21114,x21115,x21116),f488(x21112,x21113,x21114,x21115,x21116))
% 202.05/201.94 [2112]~E(x21121,x21122)+E(f488(x21123,x21121,x21124,x21125,x21126),f488(x21123,x21122,x21124,x21125,x21126))
% 202.05/201.94 [2113]~E(x21131,x21132)+E(f488(x21133,x21134,x21131,x21135,x21136),f488(x21133,x21134,x21132,x21135,x21136))
% 202.05/201.94 [2114]~E(x21141,x21142)+E(f488(x21143,x21144,x21145,x21141,x21146),f488(x21143,x21144,x21145,x21142,x21146))
% 202.05/201.94 [2115]~E(x21151,x21152)+E(f488(x21153,x21154,x21155,x21156,x21151),f488(x21153,x21154,x21155,x21156,x21152))
% 202.05/201.94 [2116]~E(x21161,x21162)+E(f895(x21161,x21163,x21164,x21165),f895(x21162,x21163,x21164,x21165))
% 202.05/201.94 [2117]~E(x21171,x21172)+E(f895(x21173,x21171,x21174,x21175),f895(x21173,x21172,x21174,x21175))
% 202.05/201.94 [2118]~E(x21181,x21182)+E(f895(x21183,x21184,x21181,x21185),f895(x21183,x21184,x21182,x21185))
% 202.05/201.94 [2119]~E(x21191,x21192)+E(f895(x21193,x21194,x21195,x21191),f895(x21193,x21194,x21195,x21192))
% 202.05/201.94 [2120]~E(x21201,x21202)+E(f245(x21201,x21203,x21204,x21205,x21206,x21207),f245(x21202,x21203,x21204,x21205,x21206,x21207))
% 202.05/201.94 [2121]~E(x21211,x21212)+E(f245(x21213,x21211,x21214,x21215,x21216,x21217),f245(x21213,x21212,x21214,x21215,x21216,x21217))
% 202.05/201.94 [2122]~E(x21221,x21222)+E(f245(x21223,x21224,x21221,x21225,x21226,x21227),f245(x21223,x21224,x21222,x21225,x21226,x21227))
% 202.05/201.94 [2123]~E(x21231,x21232)+E(f245(x21233,x21234,x21235,x21231,x21236,x21237),f245(x21233,x21234,x21235,x21232,x21236,x21237))
% 202.05/201.94 [2124]~E(x21241,x21242)+E(f245(x21243,x21244,x21245,x21246,x21241,x21247),f245(x21243,x21244,x21245,x21246,x21242,x21247))
% 202.05/201.94 [2125]~E(x21251,x21252)+E(f245(x21253,x21254,x21255,x21256,x21257,x21251),f245(x21253,x21254,x21255,x21256,x21257,x21252))
% 202.05/201.94 [2126]~E(x21261,x21262)+E(f425(x21261,x21263,x21264,x21265),f425(x21262,x21263,x21264,x21265))
% 202.05/201.94 [2127]~E(x21271,x21272)+E(f425(x21273,x21271,x21274,x21275),f425(x21273,x21272,x21274,x21275))
% 202.05/201.94 [2128]~E(x21281,x21282)+E(f425(x21283,x21284,x21281,x21285),f425(x21283,x21284,x21282,x21285))
% 202.05/201.94 [2129]~E(x21291,x21292)+E(f425(x21293,x21294,x21295,x21291),f425(x21293,x21294,x21295,x21292))
% 202.05/201.94 [2130]~E(x21301,x21302)+E(f405(x21301,x21303,x21304,x21305),f405(x21302,x21303,x21304,x21305))
% 202.05/201.94 [2131]~E(x21311,x21312)+E(f405(x21313,x21311,x21314,x21315),f405(x21313,x21312,x21314,x21315))
% 202.05/201.94 [2132]~E(x21321,x21322)+E(f405(x21323,x21324,x21321,x21325),f405(x21323,x21324,x21322,x21325))
% 202.05/201.94 [2133]~E(x21331,x21332)+E(f405(x21333,x21334,x21335,x21331),f405(x21333,x21334,x21335,x21332))
% 202.05/201.94 [2134]~E(x21341,x21342)+E(f569(x21341,x21343),f569(x21342,x21343))
% 202.05/201.94 [2135]~E(x21351,x21352)+E(f569(x21353,x21351),f569(x21353,x21352))
% 202.05/201.94 [2136]~E(x21361,x21362)+E(f466(x21361,x21363),f466(x21362,x21363))
% 202.05/201.94 [2137]~E(x21371,x21372)+E(f466(x21373,x21371),f466(x21373,x21372))
% 202.05/201.94 [2138]~E(x21381,x21382)+E(f436(x21381,x21383,x21384,x21385),f436(x21382,x21383,x21384,x21385))
% 202.05/201.94 [2139]~E(x21391,x21392)+E(f436(x21393,x21391,x21394,x21395),f436(x21393,x21392,x21394,x21395))
% 202.05/201.94 [2140]~E(x21401,x21402)+E(f436(x21403,x21404,x21401,x21405),f436(x21403,x21404,x21402,x21405))
% 202.05/201.94 [2141]~E(x21411,x21412)+E(f436(x21413,x21414,x21415,x21411),f436(x21413,x21414,x21415,x21412))
% 202.05/201.94 [2142]~E(x21421,x21422)+E(f260(x21421,x21423,x21424,x21425,x21426),f260(x21422,x21423,x21424,x21425,x21426))
% 202.05/201.94 [2143]~E(x21431,x21432)+E(f260(x21433,x21431,x21434,x21435,x21436),f260(x21433,x21432,x21434,x21435,x21436))
% 202.05/201.94 [2144]~E(x21441,x21442)+E(f260(x21443,x21444,x21441,x21445,x21446),f260(x21443,x21444,x21442,x21445,x21446))
% 202.05/201.94 [2145]~E(x21451,x21452)+E(f260(x21453,x21454,x21455,x21451,x21456),f260(x21453,x21454,x21455,x21452,x21456))
% 202.05/201.94 [2146]~E(x21461,x21462)+E(f260(x21463,x21464,x21465,x21466,x21461),f260(x21463,x21464,x21465,x21466,x21462))
% 202.05/201.94 [2147]~E(x21471,x21472)+E(f420(x21471,x21473,x21474,x21475),f420(x21472,x21473,x21474,x21475))
% 202.05/201.94 [2148]~E(x21481,x21482)+E(f420(x21483,x21481,x21484,x21485),f420(x21483,x21482,x21484,x21485))
% 202.05/201.94 [2149]~E(x21491,x21492)+E(f420(x21493,x21494,x21491,x21495),f420(x21493,x21494,x21492,x21495))
% 202.05/201.94 [2150]~E(x21501,x21502)+E(f420(x21503,x21504,x21505,x21501),f420(x21503,x21504,x21505,x21502))
% 202.05/201.94 [2151]~E(x21511,x21512)+E(f573(x21511,x21513,x21514),f573(x21512,x21513,x21514))
% 202.05/201.94 [2152]~E(x21521,x21522)+E(f573(x21523,x21521,x21524),f573(x21523,x21522,x21524))
% 202.05/201.94 [2153]~E(x21531,x21532)+E(f573(x21533,x21534,x21531),f573(x21533,x21534,x21532))
% 202.05/201.94 [2154]~E(x21541,x21542)+E(f477(x21541,x21543),f477(x21542,x21543))
% 202.05/201.94 [2155]~E(x21551,x21552)+E(f477(x21553,x21551),f477(x21553,x21552))
% 202.05/201.94 [2156]~E(x21561,x21562)+E(f564(x21561,x21563,x21564,x21565),f564(x21562,x21563,x21564,x21565))
% 202.05/201.94 [2157]~E(x21571,x21572)+E(f564(x21573,x21571,x21574,x21575),f564(x21573,x21572,x21574,x21575))
% 202.05/201.94 [2158]~E(x21581,x21582)+E(f564(x21583,x21584,x21581,x21585),f564(x21583,x21584,x21582,x21585))
% 202.05/201.94 [2159]~E(x21591,x21592)+E(f564(x21593,x21594,x21595,x21591),f564(x21593,x21594,x21595,x21592))
% 202.05/201.94 [2160]~E(x21601,x21602)+E(f560(x21601,x21603,x21604,x21605),f560(x21602,x21603,x21604,x21605))
% 202.05/201.94 [2161]~E(x21611,x21612)+E(f560(x21613,x21611,x21614,x21615),f560(x21613,x21612,x21614,x21615))
% 202.05/201.94 [2162]~E(x21621,x21622)+E(f560(x21623,x21624,x21621,x21625),f560(x21623,x21624,x21622,x21625))
% 202.05/201.94 [2163]~E(x21631,x21632)+E(f560(x21633,x21634,x21635,x21631),f560(x21633,x21634,x21635,x21632))
% 202.05/201.94 [2164]~E(x21641,x21642)+E(f428(x21641,x21643,x21644,x21645),f428(x21642,x21643,x21644,x21645))
% 202.05/201.94 [2165]~E(x21651,x21652)+E(f428(x21653,x21651,x21654,x21655),f428(x21653,x21652,x21654,x21655))
% 202.05/201.94 [2166]~E(x21661,x21662)+E(f428(x21663,x21664,x21661,x21665),f428(x21663,x21664,x21662,x21665))
% 202.05/201.94 [2167]~E(x21671,x21672)+E(f428(x21673,x21674,x21675,x21671),f428(x21673,x21674,x21675,x21672))
% 202.05/201.94 [2168]~E(x21681,x21682)+E(f474(x21681,x21683,x21684,x21685),f474(x21682,x21683,x21684,x21685))
% 202.05/201.94 [2169]~E(x21691,x21692)+E(f474(x21693,x21691,x21694,x21695),f474(x21693,x21692,x21694,x21695))
% 202.05/201.94 [2170]~E(x21701,x21702)+E(f474(x21703,x21704,x21701,x21705),f474(x21703,x21704,x21702,x21705))
% 202.05/201.94 [2171]~E(x21711,x21712)+E(f474(x21713,x21714,x21715,x21711),f474(x21713,x21714,x21715,x21712))
% 202.05/201.94 [2172]~E(x21721,x21722)+E(f710(x21721,x21723,x21724),f710(x21722,x21723,x21724))
% 202.05/201.94 [2173]~E(x21731,x21732)+E(f710(x21733,x21731,x21734),f710(x21733,x21732,x21734))
% 202.05/201.94 [2174]~E(x21741,x21742)+E(f710(x21743,x21744,x21741),f710(x21743,x21744,x21742))
% 202.05/201.94 [2175]~E(x21751,x21752)+E(f748(x21751,x21753,x21754),f748(x21752,x21753,x21754))
% 202.05/201.94 [2176]~E(x21761,x21762)+E(f748(x21763,x21761,x21764),f748(x21763,x21762,x21764))
% 202.05/201.94 [2177]~E(x21771,x21772)+E(f748(x21773,x21774,x21771),f748(x21773,x21774,x21772))
% 202.05/201.94 [2178]~E(x21781,x21782)+E(f604(x21781,x21783,x21784),f604(x21782,x21783,x21784))
% 202.05/201.94 [2179]~E(x21791,x21792)+E(f604(x21793,x21791,x21794),f604(x21793,x21792,x21794))
% 202.05/201.94 [2180]~E(x21801,x21802)+E(f604(x21803,x21804,x21801),f604(x21803,x21804,x21802))
% 202.05/201.94 [2181]~E(x21811,x21812)+E(f841(x21811,x21813,x21814),f841(x21812,x21813,x21814))
% 202.05/201.94 [2182]~E(x21821,x21822)+E(f841(x21823,x21821,x21824),f841(x21823,x21822,x21824))
% 202.05/201.94 [2183]~E(x21831,x21832)+E(f841(x21833,x21834,x21831),f841(x21833,x21834,x21832))
% 202.05/201.94 [2184]~E(x21841,x21842)+E(f472(x21841,x21843,x21844,x21845),f472(x21842,x21843,x21844,x21845))
% 202.05/201.94 [2185]~E(x21851,x21852)+E(f472(x21853,x21851,x21854,x21855),f472(x21853,x21852,x21854,x21855))
% 202.05/201.94 [2186]~E(x21861,x21862)+E(f472(x21863,x21864,x21861,x21865),f472(x21863,x21864,x21862,x21865))
% 202.05/201.94 [2187]~E(x21871,x21872)+E(f472(x21873,x21874,x21875,x21871),f472(x21873,x21874,x21875,x21872))
% 202.05/201.94 [2188]~E(x21881,x21882)+E(f162(x21881,x21883),f162(x21882,x21883))
% 202.05/201.94 [2189]~E(x21891,x21892)+E(f162(x21893,x21891),f162(x21893,x21892))
% 202.05/201.94 [2190]~E(x21901,x21902)+E(f669(x21901,x21903,x21904,x21905),f669(x21902,x21903,x21904,x21905))
% 202.05/201.94 [2191]~E(x21911,x21912)+E(f669(x21913,x21911,x21914,x21915),f669(x21913,x21912,x21914,x21915))
% 202.05/201.94 [2192]~E(x21921,x21922)+E(f669(x21923,x21924,x21921,x21925),f669(x21923,x21924,x21922,x21925))
% 202.05/201.94 [2193]~E(x21931,x21932)+E(f669(x21933,x21934,x21935,x21931),f669(x21933,x21934,x21935,x21932))
% 202.05/201.94 [2194]~E(x21941,x21942)+E(f336(x21941,x21943),f336(x21942,x21943))
% 202.05/201.94 [2195]~E(x21951,x21952)+E(f336(x21953,x21951),f336(x21953,x21952))
% 202.05/201.94 [2196]~E(x21961,x21962)+E(f686(x21961,x21963,x21964,x21965,x21966),f686(x21962,x21963,x21964,x21965,x21966))
% 202.05/201.94 [2197]~E(x21971,x21972)+E(f686(x21973,x21971,x21974,x21975,x21976),f686(x21973,x21972,x21974,x21975,x21976))
% 202.05/201.94 [2198]~E(x21981,x21982)+E(f686(x21983,x21984,x21981,x21985,x21986),f686(x21983,x21984,x21982,x21985,x21986))
% 202.05/201.94 [2199]~E(x21991,x21992)+E(f686(x21993,x21994,x21995,x21991,x21996),f686(x21993,x21994,x21995,x21992,x21996))
% 202.05/201.94 [2200]~E(x22001,x22002)+E(f686(x22003,x22004,x22005,x22006,x22001),f686(x22003,x22004,x22005,x22006,x22002))
% 202.05/201.94 [2201]~E(x22011,x22012)+E(f276(x22011,x22013,x22014,x22015),f276(x22012,x22013,x22014,x22015))
% 202.05/201.94 [2202]~E(x22021,x22022)+E(f276(x22023,x22021,x22024,x22025),f276(x22023,x22022,x22024,x22025))
% 202.05/201.94 [2203]~E(x22031,x22032)+E(f276(x22033,x22034,x22031,x22035),f276(x22033,x22034,x22032,x22035))
% 202.05/201.94 [2204]~E(x22041,x22042)+E(f276(x22043,x22044,x22045,x22041),f276(x22043,x22044,x22045,x22042))
% 202.05/201.94 [2205]~E(x22051,x22052)+E(f487(x22051,x22053,x22054),f487(x22052,x22053,x22054))
% 202.05/201.94 [2206]~E(x22061,x22062)+E(f487(x22063,x22061,x22064),f487(x22063,x22062,x22064))
% 202.05/201.94 [2207]~E(x22071,x22072)+E(f487(x22073,x22074,x22071),f487(x22073,x22074,x22072))
% 202.05/201.94 [2208]~E(x22081,x22082)+E(f207(x22081,x22083,x22084,x22085,x22086,x22087,x22088),f207(x22082,x22083,x22084,x22085,x22086,x22087,x22088))
% 202.05/201.94 [2209]~E(x22091,x22092)+E(f207(x22093,x22091,x22094,x22095,x22096,x22097,x22098),f207(x22093,x22092,x22094,x22095,x22096,x22097,x22098))
% 202.05/201.94 [2210]~E(x22101,x22102)+E(f207(x22103,x22104,x22101,x22105,x22106,x22107,x22108),f207(x22103,x22104,x22102,x22105,x22106,x22107,x22108))
% 202.05/201.94 [2211]~E(x22111,x22112)+E(f207(x22113,x22114,x22115,x22111,x22116,x22117,x22118),f207(x22113,x22114,x22115,x22112,x22116,x22117,x22118))
% 202.05/201.94 [2212]~E(x22121,x22122)+E(f207(x22123,x22124,x22125,x22126,x22121,x22127,x22128),f207(x22123,x22124,x22125,x22126,x22122,x22127,x22128))
% 202.05/201.94 [2213]~E(x22131,x22132)+E(f207(x22133,x22134,x22135,x22136,x22137,x22131,x22138),f207(x22133,x22134,x22135,x22136,x22137,x22132,x22138))
% 202.05/201.94 [2214]~E(x22141,x22142)+E(f207(x22143,x22144,x22145,x22146,x22147,x22148,x22141),f207(x22143,x22144,x22145,x22146,x22147,x22148,x22142))
% 202.05/201.94 [2215]~E(x22151,x22152)+E(f476(x22151,x22153,x22154,x22155,x22156),f476(x22152,x22153,x22154,x22155,x22156))
% 202.05/201.94 [2216]~E(x22161,x22162)+E(f476(x22163,x22161,x22164,x22165,x22166),f476(x22163,x22162,x22164,x22165,x22166))
% 202.05/201.94 [2217]~E(x22171,x22172)+E(f476(x22173,x22174,x22171,x22175,x22176),f476(x22173,x22174,x22172,x22175,x22176))
% 202.05/201.94 [2218]~E(x22181,x22182)+E(f476(x22183,x22184,x22185,x22181,x22186),f476(x22183,x22184,x22185,x22182,x22186))
% 202.05/201.94 [2219]~E(x22191,x22192)+E(f476(x22193,x22194,x22195,x22196,x22191),f476(x22193,x22194,x22195,x22196,x22192))
% 202.05/201.94 [2220]~E(x22201,x22202)+E(f570(x22201,x22203),f570(x22202,x22203))
% 202.05/201.94 [2221]~E(x22211,x22212)+E(f570(x22213,x22211),f570(x22213,x22212))
% 202.05/201.94 [2222]~E(x22221,x22222)+E(f368(x22221),f368(x22222))
% 202.05/201.94 [2223]~E(x22231,x22232)+E(f743(x22231,x22233,x22234),f743(x22232,x22233,x22234))
% 202.05/201.94 [2224]~E(x22241,x22242)+E(f743(x22243,x22241,x22244),f743(x22243,x22242,x22244))
% 202.05/201.94 [2225]~E(x22251,x22252)+E(f743(x22253,x22254,x22251),f743(x22253,x22254,x22252))
% 202.05/201.94 [2226]~E(x22261,x22262)+E(f337(x22261,x22263),f337(x22262,x22263))
% 202.05/201.94 [2227]~E(x22271,x22272)+E(f337(x22273,x22271),f337(x22273,x22272))
% 202.05/201.94 [2228]~E(x22281,x22282)+E(f897(x22281,x22283,x22284),f897(x22282,x22283,x22284))
% 202.05/201.94 [2229]~E(x22291,x22292)+E(f897(x22293,x22291,x22294),f897(x22293,x22292,x22294))
% 202.05/201.94 [2230]~E(x22301,x22302)+E(f897(x22303,x22304,x22301),f897(x22303,x22304,x22302))
% 202.05/201.94 [2231]~E(x22311,x22312)+E(f335(x22311),f335(x22312))
% 202.05/201.94 [2232]~E(x22321,x22322)+E(f444(x22321,x22323),f444(x22322,x22323))
% 202.05/201.94 [2233]~E(x22331,x22332)+E(f444(x22333,x22331),f444(x22333,x22332))
% 202.05/201.94 [2234]~E(x22341,x22342)+E(f424(x22341,x22343,x22344),f424(x22342,x22343,x22344))
% 202.05/201.94 [2235]~E(x22351,x22352)+E(f424(x22353,x22351,x22354),f424(x22353,x22352,x22354))
% 202.05/201.94 [2236]~E(x22361,x22362)+E(f424(x22363,x22364,x22361),f424(x22363,x22364,x22362))
% 202.05/201.94 [2237]~E(x22371,x22372)+E(f645(x22371,x22373,x22374,x22375,x22376),f645(x22372,x22373,x22374,x22375,x22376))
% 202.05/201.94 [2238]~E(x22381,x22382)+E(f645(x22383,x22381,x22384,x22385,x22386),f645(x22383,x22382,x22384,x22385,x22386))
% 202.05/201.94 [2239]~E(x22391,x22392)+E(f645(x22393,x22394,x22391,x22395,x22396),f645(x22393,x22394,x22392,x22395,x22396))
% 202.05/201.94 [2240]~E(x22401,x22402)+E(f645(x22403,x22404,x22405,x22401,x22406),f645(x22403,x22404,x22405,x22402,x22406))
% 202.05/201.94 [2241]~E(x22411,x22412)+E(f645(x22413,x22414,x22415,x22416,x22411),f645(x22413,x22414,x22415,x22416,x22412))
% 202.05/201.94 [2242]~E(x22421,x22422)+E(f851(x22421,x22423),f851(x22422,x22423))
% 202.05/201.94 [2243]~E(x22431,x22432)+E(f851(x22433,x22431),f851(x22433,x22432))
% 202.05/201.94 [2244]~E(x22441,x22442)+E(f618(x22441,x22443,x22444,x22445,x22446),f618(x22442,x22443,x22444,x22445,x22446))
% 202.05/201.94 [2245]~E(x22451,x22452)+E(f618(x22453,x22451,x22454,x22455,x22456),f618(x22453,x22452,x22454,x22455,x22456))
% 202.05/201.94 [2246]~E(x22461,x22462)+E(f618(x22463,x22464,x22461,x22465,x22466),f618(x22463,x22464,x22462,x22465,x22466))
% 202.05/201.94 [2247]~E(x22471,x22472)+E(f618(x22473,x22474,x22475,x22471,x22476),f618(x22473,x22474,x22475,x22472,x22476))
% 202.05/201.94 [2248]~E(x22481,x22482)+E(f618(x22483,x22484,x22485,x22486,x22481),f618(x22483,x22484,x22485,x22486,x22482))
% 202.05/201.94 [2249]~E(x22491,x22492)+E(f349(x22491,x22493,x22494,x22495),f349(x22492,x22493,x22494,x22495))
% 202.05/201.94 [2250]~E(x22501,x22502)+E(f349(x22503,x22501,x22504,x22505),f349(x22503,x22502,x22504,x22505))
% 202.05/201.94 [2251]~E(x22511,x22512)+E(f349(x22513,x22514,x22511,x22515),f349(x22513,x22514,x22512,x22515))
% 202.05/201.94 [2252]~E(x22521,x22522)+E(f349(x22523,x22524,x22525,x22521),f349(x22523,x22524,x22525,x22522))
% 202.05/201.94 [2253]~E(x22531,x22532)+E(f409(x22531,x22533,x22534,x22535),f409(x22532,x22533,x22534,x22535))
% 202.05/201.94 [2254]~E(x22541,x22542)+E(f409(x22543,x22541,x22544,x22545),f409(x22543,x22542,x22544,x22545))
% 202.05/201.94 [2255]~E(x22551,x22552)+E(f409(x22553,x22554,x22551,x22555),f409(x22553,x22554,x22552,x22555))
% 202.05/201.94 [2256]~E(x22561,x22562)+E(f409(x22563,x22564,x22565,x22561),f409(x22563,x22564,x22565,x22562))
% 202.05/201.94 [2257]~E(x22571,x22572)+E(f348(x22571,x22573),f348(x22572,x22573))
% 202.05/201.94 [2258]~E(x22581,x22582)+E(f348(x22583,x22581),f348(x22583,x22582))
% 202.05/201.94 [2259]~E(x22591,x22592)+E(f594(x22591,x22593,x22594),f594(x22592,x22593,x22594))
% 202.05/201.94 [2260]~E(x22601,x22602)+E(f594(x22603,x22601,x22604),f594(x22603,x22602,x22604))
% 202.05/201.94 [2261]~E(x22611,x22612)+E(f594(x22613,x22614,x22611),f594(x22613,x22614,x22612))
% 202.05/201.94 [2262]~E(x22621,x22622)+E(f687(x22621,x22623,x22624,x22625,x22626),f687(x22622,x22623,x22624,x22625,x22626))
% 202.05/201.94 [2263]~E(x22631,x22632)+E(f687(x22633,x22631,x22634,x22635,x22636),f687(x22633,x22632,x22634,x22635,x22636))
% 202.05/201.94 [2264]~E(x22641,x22642)+E(f687(x22643,x22644,x22641,x22645,x22646),f687(x22643,x22644,x22642,x22645,x22646))
% 202.05/201.94 [2265]~E(x22651,x22652)+E(f687(x22653,x22654,x22655,x22651,x22656),f687(x22653,x22654,x22655,x22652,x22656))
% 202.05/201.94 [2266]~E(x22661,x22662)+E(f687(x22663,x22664,x22665,x22666,x22661),f687(x22663,x22664,x22665,x22666,x22662))
% 202.05/201.94 [2267]~E(x22671,x22672)+E(f586(x22671,x22673,x22674),f586(x22672,x22673,x22674))
% 202.05/201.94 [2268]~E(x22681,x22682)+E(f586(x22683,x22681,x22684),f586(x22683,x22682,x22684))
% 202.05/201.94 [2269]~E(x22691,x22692)+E(f586(x22693,x22694,x22691),f586(x22693,x22694,x22692))
% 202.05/201.94 [2270]~E(x22701,x22702)+E(f332(x22701),f332(x22702))
% 202.05/201.94 [2271]~E(x22711,x22712)+E(f389(x22711,x22713,x22714),f389(x22712,x22713,x22714))
% 202.05/201.94 [2272]~E(x22721,x22722)+E(f389(x22723,x22721,x22724),f389(x22723,x22722,x22724))
% 202.05/201.94 [2273]~E(x22731,x22732)+E(f389(x22733,x22734,x22731),f389(x22733,x22734,x22732))
% 202.05/201.94 [2274]~E(x22741,x22742)+E(f398(x22741),f398(x22742))
% 202.05/201.94 [2275]~E(x22751,x22752)+E(f663(x22751,x22753),f663(x22752,x22753))
% 202.05/201.94 [2276]~E(x22761,x22762)+E(f663(x22763,x22761),f663(x22763,x22762))
% 202.05/201.94 [2277]~E(x22771,x22772)+E(f400(x22771,x22773,x22774,x22775),f400(x22772,x22773,x22774,x22775))
% 202.05/201.94 [2278]~E(x22781,x22782)+E(f400(x22783,x22781,x22784,x22785),f400(x22783,x22782,x22784,x22785))
% 202.05/201.94 [2279]~E(x22791,x22792)+E(f400(x22793,x22794,x22791,x22795),f400(x22793,x22794,x22792,x22795))
% 202.05/201.94 [2280]~E(x22801,x22802)+E(f400(x22803,x22804,x22805,x22801),f400(x22803,x22804,x22805,x22802))
% 202.05/201.94 [2281]~E(x22811,x22812)+E(f482(x22811,x22813,x22814),f482(x22812,x22813,x22814))
% 202.05/201.94 [2282]~E(x22821,x22822)+E(f482(x22823,x22821,x22824),f482(x22823,x22822,x22824))
% 202.05/201.94 [2283]~E(x22831,x22832)+E(f482(x22833,x22834,x22831),f482(x22833,x22834,x22832))
% 202.05/201.94 [2284]~E(x22841,x22842)+E(f877(x22841),f877(x22842))
% 202.05/201.94 [2285]~E(x22851,x22852)+E(f868(x22851,x22853,x22854,x22855),f868(x22852,x22853,x22854,x22855))
% 202.05/201.94 [2286]~E(x22861,x22862)+E(f868(x22863,x22861,x22864,x22865),f868(x22863,x22862,x22864,x22865))
% 202.05/201.94 [2287]~E(x22871,x22872)+E(f868(x22873,x22874,x22871,x22875),f868(x22873,x22874,x22872,x22875))
% 202.05/201.94 [2288]~E(x22881,x22882)+E(f868(x22883,x22884,x22885,x22881),f868(x22883,x22884,x22885,x22882))
% 202.05/201.94 [2289]~E(x22891,x22892)+E(f483(x22891,x22893,x22894),f483(x22892,x22893,x22894))
% 202.05/201.94 [2290]~E(x22901,x22902)+E(f483(x22903,x22901,x22904),f483(x22903,x22902,x22904))
% 202.05/201.94 [2291]~E(x22911,x22912)+E(f483(x22913,x22914,x22911),f483(x22913,x22914,x22912))
% 202.05/201.94 [2292]~E(x22921,x22922)+E(f824(x22921,x22923,x22924,x22925,x22926,x22927,x22928,x22929),f824(x22922,x22923,x22924,x22925,x22926,x22927,x22928,x22929))
% 202.05/201.94 [2293]~E(x22931,x22932)+E(f824(x22933,x22931,x22934,x22935,x22936,x22937,x22938,x22939),f824(x22933,x22932,x22934,x22935,x22936,x22937,x22938,x22939))
% 202.05/201.94 [2294]~E(x22941,x22942)+E(f824(x22943,x22944,x22941,x22945,x22946,x22947,x22948,x22949),f824(x22943,x22944,x22942,x22945,x22946,x22947,x22948,x22949))
% 202.05/201.94 [2295]~E(x22951,x22952)+E(f824(x22953,x22954,x22955,x22951,x22956,x22957,x22958,x22959),f824(x22953,x22954,x22955,x22952,x22956,x22957,x22958,x22959))
% 202.05/201.94 [2296]~E(x22961,x22962)+E(f824(x22963,x22964,x22965,x22966,x22961,x22967,x22968,x22969),f824(x22963,x22964,x22965,x22966,x22962,x22967,x22968,x22969))
% 202.05/201.94 [2297]~E(x22971,x22972)+E(f824(x22973,x22974,x22975,x22976,x22977,x22971,x22978,x22979),f824(x22973,x22974,x22975,x22976,x22977,x22972,x22978,x22979))
% 202.05/201.94 [2298]~E(x22981,x22982)+E(f824(x22983,x22984,x22985,x22986,x22987,x22988,x22981,x22989),f824(x22983,x22984,x22985,x22986,x22987,x22988,x22982,x22989))
% 202.05/201.94 [2299]~E(x22991,x22992)+E(f824(x22993,x22994,x22995,x22996,x22997,x22998,x22999,x22991),f824(x22993,x22994,x22995,x22996,x22997,x22998,x22999,x22992))
% 202.05/201.94 [2300]~E(x23001,x23002)+E(f641(x23001,x23003),f641(x23002,x23003))
% 202.05/201.94 [2301]~E(x23011,x23012)+E(f641(x23013,x23011),f641(x23013,x23012))
% 202.05/201.94 [2302]~E(x23021,x23022)+E(f797(x23021),f797(x23022))
% 202.05/201.94 [2303]~E(x23031,x23032)+E(f553(x23031,x23033,x23034,x23035),f553(x23032,x23033,x23034,x23035))
% 202.05/201.94 [2304]~E(x23041,x23042)+E(f553(x23043,x23041,x23044,x23045),f553(x23043,x23042,x23044,x23045))
% 202.05/201.94 [2305]~E(x23051,x23052)+E(f553(x23053,x23054,x23051,x23055),f553(x23053,x23054,x23052,x23055))
% 202.05/201.94 [2306]~E(x23061,x23062)+E(f553(x23063,x23064,x23065,x23061),f553(x23063,x23064,x23065,x23062))
% 202.05/201.94 [2307]~E(x23071,x23072)+E(f511(x23071,x23073,x23074,x23075,x23076),f511(x23072,x23073,x23074,x23075,x23076))
% 202.05/201.94 [2308]~E(x23081,x23082)+E(f511(x23083,x23081,x23084,x23085,x23086),f511(x23083,x23082,x23084,x23085,x23086))
% 202.05/201.94 [2309]~E(x23091,x23092)+E(f511(x23093,x23094,x23091,x23095,x23096),f511(x23093,x23094,x23092,x23095,x23096))
% 202.05/201.94 [2310]~E(x23101,x23102)+E(f511(x23103,x23104,x23105,x23101,x23106),f511(x23103,x23104,x23105,x23102,x23106))
% 202.05/201.94 [2311]~E(x23111,x23112)+E(f511(x23113,x23114,x23115,x23116,x23111),f511(x23113,x23114,x23115,x23116,x23112))
% 202.05/201.94 [2312]~E(x23121,x23122)+E(f334(x23121),f334(x23122))
% 202.05/201.94 [2313]~E(x23131,x23132)+E(f681(x23131,x23133,x23134),f681(x23132,x23133,x23134))
% 202.05/201.94 [2314]~E(x23141,x23142)+E(f681(x23143,x23141,x23144),f681(x23143,x23142,x23144))
% 202.05/201.94 [2315]~E(x23151,x23152)+E(f681(x23153,x23154,x23151),f681(x23153,x23154,x23152))
% 202.05/201.94 [2316]~E(x23161,x23162)+E(f619(x23161,x23163,x23164,x23165,x23166),f619(x23162,x23163,x23164,x23165,x23166))
% 202.05/201.94 [2317]~E(x23171,x23172)+E(f619(x23173,x23171,x23174,x23175,x23176),f619(x23173,x23172,x23174,x23175,x23176))
% 202.05/201.94 [2318]~E(x23181,x23182)+E(f619(x23183,x23184,x23181,x23185,x23186),f619(x23183,x23184,x23182,x23185,x23186))
% 202.05/201.94 [2319]~E(x23191,x23192)+E(f619(x23193,x23194,x23195,x23191,x23196),f619(x23193,x23194,x23195,x23192,x23196))
% 202.05/201.94 [2320]~E(x23201,x23202)+E(f619(x23203,x23204,x23205,x23206,x23201),f619(x23203,x23204,x23205,x23206,x23202))
% 202.05/201.94 [2321]~E(x23211,x23212)+E(f382(x23211,x23213,x23214),f382(x23212,x23213,x23214))
% 202.05/201.94 [2322]~E(x23221,x23222)+E(f382(x23223,x23221,x23224),f382(x23223,x23222,x23224))
% 202.05/201.94 [2323]~E(x23231,x23232)+E(f382(x23233,x23234,x23231),f382(x23233,x23234,x23232))
% 202.05/201.94 [2324]~E(x23241,x23242)+E(f713(x23241,x23243,x23244,x23245),f713(x23242,x23243,x23244,x23245))
% 202.05/201.94 [2325]~E(x23251,x23252)+E(f713(x23253,x23251,x23254,x23255),f713(x23253,x23252,x23254,x23255))
% 202.05/201.94 [2326]~E(x23261,x23262)+E(f713(x23263,x23264,x23261,x23265),f713(x23263,x23264,x23262,x23265))
% 202.05/201.94 [2327]~E(x23271,x23272)+E(f713(x23273,x23274,x23275,x23271),f713(x23273,x23274,x23275,x23272))
% 202.05/201.94 [2328]~E(x23281,x23282)+E(f859(x23281,x23283,x23284,x23285),f859(x23282,x23283,x23284,x23285))
% 202.05/201.94 [2329]~E(x23291,x23292)+E(f859(x23293,x23291,x23294,x23295),f859(x23293,x23292,x23294,x23295))
% 202.05/201.94 [2330]~E(x23301,x23302)+E(f859(x23303,x23304,x23301,x23305),f859(x23303,x23304,x23302,x23305))
% 202.05/201.94 [2331]~E(x23311,x23312)+E(f859(x23313,x23314,x23315,x23311),f859(x23313,x23314,x23315,x23312))
% 202.05/201.94 [2332]~E(x23321,x23322)+E(f834(x23321,x23323,x23324,x23325,x23326,x23327,x23328),f834(x23322,x23323,x23324,x23325,x23326,x23327,x23328))
% 202.05/201.94 [2333]~E(x23331,x23332)+E(f834(x23333,x23331,x23334,x23335,x23336,x23337,x23338),f834(x23333,x23332,x23334,x23335,x23336,x23337,x23338))
% 202.05/201.94 [2334]~E(x23341,x23342)+E(f834(x23343,x23344,x23341,x23345,x23346,x23347,x23348),f834(x23343,x23344,x23342,x23345,x23346,x23347,x23348))
% 202.05/201.94 [2335]~E(x23351,x23352)+E(f834(x23353,x23354,x23355,x23351,x23356,x23357,x23358),f834(x23353,x23354,x23355,x23352,x23356,x23357,x23358))
% 202.05/201.94 [2336]~E(x23361,x23362)+E(f834(x23363,x23364,x23365,x23366,x23361,x23367,x23368),f834(x23363,x23364,x23365,x23366,x23362,x23367,x23368))
% 202.05/201.94 [2337]~E(x23371,x23372)+E(f834(x23373,x23374,x23375,x23376,x23377,x23371,x23378),f834(x23373,x23374,x23375,x23376,x23377,x23372,x23378))
% 202.05/201.94 [2338]~E(x23381,x23382)+E(f834(x23383,x23384,x23385,x23386,x23387,x23388,x23381),f834(x23383,x23384,x23385,x23386,x23387,x23388,x23382))
% 202.05/201.94 [2339]~E(x23391,x23392)+E(f831(x23391,x23393,x23394,x23395),f831(x23392,x23393,x23394,x23395))
% 202.05/201.94 [2340]~E(x23401,x23402)+E(f831(x23403,x23401,x23404,x23405),f831(x23403,x23402,x23404,x23405))
% 202.05/201.94 [2341]~E(x23411,x23412)+E(f831(x23413,x23414,x23411,x23415),f831(x23413,x23414,x23412,x23415))
% 202.05/201.94 [2342]~E(x23421,x23422)+E(f831(x23423,x23424,x23425,x23421),f831(x23423,x23424,x23425,x23422))
% 202.05/201.94 [2343]~E(x23431,x23432)+E(f558(x23431,x23433,x23434,x23435),f558(x23432,x23433,x23434,x23435))
% 202.05/201.94 [2344]~E(x23441,x23442)+E(f558(x23443,x23441,x23444,x23445),f558(x23443,x23442,x23444,x23445))
% 202.05/201.94 [2345]~E(x23451,x23452)+E(f558(x23453,x23454,x23451,x23455),f558(x23453,x23454,x23452,x23455))
% 202.05/201.94 [2346]~E(x23461,x23462)+E(f558(x23463,x23464,x23465,x23461),f558(x23463,x23464,x23465,x23462))
% 202.05/201.94 [2347]~E(x23471,x23472)+E(f497(x23471,x23473,x23474,x23475,x23476),f497(x23472,x23473,x23474,x23475,x23476))
% 202.05/201.94 [2348]~E(x23481,x23482)+E(f497(x23483,x23481,x23484,x23485,x23486),f497(x23483,x23482,x23484,x23485,x23486))
% 202.05/201.94 [2349]~E(x23491,x23492)+E(f497(x23493,x23494,x23491,x23495,x23496),f497(x23493,x23494,x23492,x23495,x23496))
% 202.05/201.94 [2350]~E(x23501,x23502)+E(f497(x23503,x23504,x23505,x23501,x23506),f497(x23503,x23504,x23505,x23502,x23506))
% 202.05/201.94 [2351]~E(x23511,x23512)+E(f497(x23513,x23514,x23515,x23516,x23511),f497(x23513,x23514,x23515,x23516,x23512))
% 202.05/201.94 [2352]~E(x23521,x23522)+E(f627(x23521,x23523,x23524,x23525,x23526),f627(x23522,x23523,x23524,x23525,x23526))
% 202.05/201.94 [2353]~E(x23531,x23532)+E(f627(x23533,x23531,x23534,x23535,x23536),f627(x23533,x23532,x23534,x23535,x23536))
% 202.05/201.94 [2354]~E(x23541,x23542)+E(f627(x23543,x23544,x23541,x23545,x23546),f627(x23543,x23544,x23542,x23545,x23546))
% 202.05/201.94 [2355]~E(x23551,x23552)+E(f627(x23553,x23554,x23555,x23551,x23556),f627(x23553,x23554,x23555,x23552,x23556))
% 202.05/201.94 [2356]~E(x23561,x23562)+E(f627(x23563,x23564,x23565,x23566,x23561),f627(x23563,x23564,x23565,x23566,x23562))
% 202.05/201.94 [2357]~E(x23571,x23572)+E(f837(x23571,x23573,x23574,x23575,x23576,x23577),f837(x23572,x23573,x23574,x23575,x23576,x23577))
% 202.05/201.94 [2358]~E(x23581,x23582)+E(f837(x23583,x23581,x23584,x23585,x23586,x23587),f837(x23583,x23582,x23584,x23585,x23586,x23587))
% 202.05/201.94 [2359]~E(x23591,x23592)+E(f837(x23593,x23594,x23591,x23595,x23596,x23597),f837(x23593,x23594,x23592,x23595,x23596,x23597))
% 202.05/201.94 [2360]~E(x23601,x23602)+E(f837(x23603,x23604,x23605,x23601,x23606,x23607),f837(x23603,x23604,x23605,x23602,x23606,x23607))
% 202.05/201.94 [2361]~E(x23611,x23612)+E(f837(x23613,x23614,x23615,x23616,x23611,x23617),f837(x23613,x23614,x23615,x23616,x23612,x23617))
% 202.05/201.94 [2362]~E(x23621,x23622)+E(f837(x23623,x23624,x23625,x23626,x23627,x23621),f837(x23623,x23624,x23625,x23626,x23627,x23622))
% 202.05/201.94 [2363]~E(x23631,x23632)+E(f874(x23631,x23633,x23634,x23635,x23636),f874(x23632,x23633,x23634,x23635,x23636))
% 202.05/201.94 [2364]~E(x23641,x23642)+E(f874(x23643,x23641,x23644,x23645,x23646),f874(x23643,x23642,x23644,x23645,x23646))
% 202.05/201.94 [2365]~E(x23651,x23652)+E(f874(x23653,x23654,x23651,x23655,x23656),f874(x23653,x23654,x23652,x23655,x23656))
% 202.05/201.94 [2366]~E(x23661,x23662)+E(f874(x23663,x23664,x23665,x23661,x23666),f874(x23663,x23664,x23665,x23662,x23666))
% 202.05/201.94 [2367]~E(x23671,x23672)+E(f874(x23673,x23674,x23675,x23676,x23671),f874(x23673,x23674,x23675,x23676,x23672))
% 202.05/201.94 [2368]~E(x23681,x23682)+E(f545(x23681,x23683),f545(x23682,x23683))
% 202.05/201.94 [2369]~E(x23691,x23692)+E(f545(x23693,x23691),f545(x23693,x23692))
% 202.05/201.94 [2370]~E(x23701,x23702)+E(f461(x23701,x23703,x23704,x23705,x23706),f461(x23702,x23703,x23704,x23705,x23706))
% 202.05/201.94 [2371]~E(x23711,x23712)+E(f461(x23713,x23711,x23714,x23715,x23716),f461(x23713,x23712,x23714,x23715,x23716))
% 202.05/201.94 [2372]~E(x23721,x23722)+E(f461(x23723,x23724,x23721,x23725,x23726),f461(x23723,x23724,x23722,x23725,x23726))
% 202.05/201.94 [2373]~E(x23731,x23732)+E(f461(x23733,x23734,x23735,x23731,x23736),f461(x23733,x23734,x23735,x23732,x23736))
% 202.05/201.94 [2374]~E(x23741,x23742)+E(f461(x23743,x23744,x23745,x23746,x23741),f461(x23743,x23744,x23745,x23746,x23742))
% 202.05/201.94 [2375]~E(x23751,x23752)+E(f637(x23751,x23753,x23754,x23755,x23756,x23757),f637(x23752,x23753,x23754,x23755,x23756,x23757))
% 202.05/201.94 [2376]~E(x23761,x23762)+E(f637(x23763,x23761,x23764,x23765,x23766,x23767),f637(x23763,x23762,x23764,x23765,x23766,x23767))
% 202.05/201.94 [2377]~E(x23771,x23772)+E(f637(x23773,x23774,x23771,x23775,x23776,x23777),f637(x23773,x23774,x23772,x23775,x23776,x23777))
% 202.05/201.94 [2378]~E(x23781,x23782)+E(f637(x23783,x23784,x23785,x23781,x23786,x23787),f637(x23783,x23784,x23785,x23782,x23786,x23787))
% 202.05/201.94 [2379]~E(x23791,x23792)+E(f637(x23793,x23794,x23795,x23796,x23791,x23797),f637(x23793,x23794,x23795,x23796,x23792,x23797))
% 202.05/201.94 [2380]~E(x23801,x23802)+E(f637(x23803,x23804,x23805,x23806,x23807,x23801),f637(x23803,x23804,x23805,x23806,x23807,x23802))
% 202.05/201.94 [2381]~E(x23811,x23812)+E(f524(x23811,x23813,x23814,x23815,x23816),f524(x23812,x23813,x23814,x23815,x23816))
% 202.05/201.94 [2382]~E(x23821,x23822)+E(f524(x23823,x23821,x23824,x23825,x23826),f524(x23823,x23822,x23824,x23825,x23826))
% 202.05/201.94 [2383]~E(x23831,x23832)+E(f524(x23833,x23834,x23831,x23835,x23836),f524(x23833,x23834,x23832,x23835,x23836))
% 202.05/201.94 [2384]~E(x23841,x23842)+E(f524(x23843,x23844,x23845,x23841,x23846),f524(x23843,x23844,x23845,x23842,x23846))
% 202.05/201.94 [2385]~E(x23851,x23852)+E(f524(x23853,x23854,x23855,x23856,x23851),f524(x23853,x23854,x23855,x23856,x23852))
% 202.05/201.94 [2386]~E(x23861,x23862)+E(f275(x23861,x23863,x23864,x23865),f275(x23862,x23863,x23864,x23865))
% 202.05/201.94 [2387]~E(x23871,x23872)+E(f275(x23873,x23871,x23874,x23875),f275(x23873,x23872,x23874,x23875))
% 202.05/201.94 [2388]~E(x23881,x23882)+E(f275(x23883,x23884,x23881,x23885),f275(x23883,x23884,x23882,x23885))
% 202.05/201.94 [2389]~E(x23891,x23892)+E(f275(x23893,x23894,x23895,x23891),f275(x23893,x23894,x23895,x23892))
% 202.05/201.94 [2390]~E(x23901,x23902)+E(f209(x23901,x23903,x23904,x23905),f209(x23902,x23903,x23904,x23905))
% 202.05/201.94 [2391]~E(x23911,x23912)+E(f209(x23913,x23911,x23914,x23915),f209(x23913,x23912,x23914,x23915))
% 202.05/201.94 [2392]~E(x23921,x23922)+E(f209(x23923,x23924,x23921,x23925),f209(x23923,x23924,x23922,x23925))
% 202.05/201.94 [2393]~E(x23931,x23932)+E(f209(x23933,x23934,x23935,x23931),f209(x23933,x23934,x23935,x23932))
% 202.05/201.94 [2394]~E(x23941,x23942)+E(f533(x23941,x23943,x23944,x23945,x23946,x23947),f533(x23942,x23943,x23944,x23945,x23946,x23947))
% 202.05/201.94 [2395]~E(x23951,x23952)+E(f533(x23953,x23951,x23954,x23955,x23956,x23957),f533(x23953,x23952,x23954,x23955,x23956,x23957))
% 202.05/201.94 [2396]~E(x23961,x23962)+E(f533(x23963,x23964,x23961,x23965,x23966,x23967),f533(x23963,x23964,x23962,x23965,x23966,x23967))
% 202.05/201.94 [2397]~E(x23971,x23972)+E(f533(x23973,x23974,x23975,x23971,x23976,x23977),f533(x23973,x23974,x23975,x23972,x23976,x23977))
% 202.05/201.94 [2398]~E(x23981,x23982)+E(f533(x23983,x23984,x23985,x23986,x23981,x23987),f533(x23983,x23984,x23985,x23986,x23982,x23987))
% 202.05/201.94 [2399]~E(x23991,x23992)+E(f533(x23993,x23994,x23995,x23996,x23997,x23991),f533(x23993,x23994,x23995,x23996,x23997,x23992))
% 202.05/201.94 [2400]~E(x24001,x24002)+E(f333(x24001,x24003),f333(x24002,x24003))
% 202.05/201.94 [2401]~E(x24011,x24012)+E(f333(x24013,x24011),f333(x24013,x24012))
% 202.05/201.94 [2402]~E(x24021,x24022)+E(f782(x24021,x24023),f782(x24022,x24023))
% 202.05/201.94 [2403]~E(x24031,x24032)+E(f782(x24033,x24031),f782(x24033,x24032))
% 202.05/201.94 [2404]~E(x24041,x24042)+E(f587(x24041,x24043,x24044),f587(x24042,x24043,x24044))
% 202.05/201.94 [2405]~E(x24051,x24052)+E(f587(x24053,x24051,x24054),f587(x24053,x24052,x24054))
% 202.05/201.94 [2406]~E(x24061,x24062)+E(f587(x24063,x24064,x24061),f587(x24063,x24064,x24062))
% 202.05/201.94 [2407]~E(x24071,x24072)+E(f716(x24071,x24073),f716(x24072,x24073))
% 202.05/201.94 [2408]~E(x24081,x24082)+E(f716(x24083,x24081),f716(x24083,x24082))
% 202.05/201.94 [2409]~E(x24091,x24092)+E(f375(x24091,x24093,x24094),f375(x24092,x24093,x24094))
% 202.05/201.94 [2410]~E(x24101,x24102)+E(f375(x24103,x24101,x24104),f375(x24103,x24102,x24104))
% 202.05/201.94 [2411]~E(x24111,x24112)+E(f375(x24113,x24114,x24111),f375(x24113,x24114,x24112))
% 202.05/201.94 [2412]~E(x24121,x24122)+E(f758(x24121,x24123,x24124,x24125),f758(x24122,x24123,x24124,x24125))
% 202.05/201.94 [2413]~E(x24131,x24132)+E(f758(x24133,x24131,x24134,x24135),f758(x24133,x24132,x24134,x24135))
% 202.05/201.94 [2414]~E(x24141,x24142)+E(f758(x24143,x24144,x24141,x24145),f758(x24143,x24144,x24142,x24145))
% 202.05/201.94 [2415]~E(x24151,x24152)+E(f758(x24153,x24154,x24155,x24151),f758(x24153,x24154,x24155,x24152))
% 202.05/201.94 [2416]~E(x24161,x24162)+E(f599(x24161,x24163),f599(x24162,x24163))
% 202.05/201.94 [2417]~E(x24171,x24172)+E(f599(x24173,x24171),f599(x24173,x24172))
% 202.05/201.94 [2418]~E(x24181,x24182)+E(f222(x24181,x24183,x24184),f222(x24182,x24183,x24184))
% 202.05/201.94 [2419]~E(x24191,x24192)+E(f222(x24193,x24191,x24194),f222(x24193,x24192,x24194))
% 202.05/201.94 [2420]~E(x24201,x24202)+E(f222(x24203,x24204,x24201),f222(x24203,x24204,x24202))
% 202.05/201.94 [2421]~E(x24211,x24212)+E(f416(x24211,x24213),f416(x24212,x24213))
% 202.05/201.94 [2422]~E(x24221,x24222)+E(f416(x24223,x24221),f416(x24223,x24222))
% 202.05/201.94 [2423]~E(x24231,x24232)+E(f810(x24231,x24233),f810(x24232,x24233))
% 202.05/201.94 [2424]~E(x24241,x24242)+E(f810(x24243,x24241),f810(x24243,x24242))
% 202.05/201.94 [2425]~E(x24251,x24252)+E(f572(x24251,x24253,x24254,x24255),f572(x24252,x24253,x24254,x24255))
% 202.05/201.94 [2426]~E(x24261,x24262)+E(f572(x24263,x24261,x24264,x24265),f572(x24263,x24262,x24264,x24265))
% 202.05/201.94 [2427]~E(x24271,x24272)+E(f572(x24273,x24274,x24271,x24275),f572(x24273,x24274,x24272,x24275))
% 202.05/201.94 [2428]~E(x24281,x24282)+E(f572(x24283,x24284,x24285,x24281),f572(x24283,x24284,x24285,x24282))
% 202.05/201.94 [2429]~E(x24291,x24292)+E(f614(x24291,x24293),f614(x24292,x24293))
% 202.05/201.94 [2430]~E(x24301,x24302)+E(f614(x24303,x24301),f614(x24303,x24302))
% 202.05/201.94 [2431]~E(x24311,x24312)+E(f616(x24311,x24313,x24314,x24315,x24316),f616(x24312,x24313,x24314,x24315,x24316))
% 202.05/201.94 [2432]~E(x24321,x24322)+E(f616(x24323,x24321,x24324,x24325,x24326),f616(x24323,x24322,x24324,x24325,x24326))
% 202.05/201.94 [2433]~E(x24331,x24332)+E(f616(x24333,x24334,x24331,x24335,x24336),f616(x24333,x24334,x24332,x24335,x24336))
% 202.05/201.94 [2434]~E(x24341,x24342)+E(f616(x24343,x24344,x24345,x24341,x24346),f616(x24343,x24344,x24345,x24342,x24346))
% 202.05/201.94 [2435]~E(x24351,x24352)+E(f616(x24353,x24354,x24355,x24356,x24351),f616(x24353,x24354,x24355,x24356,x24352))
% 202.05/201.94 [2436]~E(x24361,x24362)+E(f229(x24361,x24363,x24364,x24365),f229(x24362,x24363,x24364,x24365))
% 202.05/201.94 [2437]~E(x24371,x24372)+E(f229(x24373,x24371,x24374,x24375),f229(x24373,x24372,x24374,x24375))
% 202.05/201.94 [2438]~E(x24381,x24382)+E(f229(x24383,x24384,x24381,x24385),f229(x24383,x24384,x24382,x24385))
% 202.05/201.94 [2439]~E(x24391,x24392)+E(f229(x24393,x24394,x24395,x24391),f229(x24393,x24394,x24395,x24392))
% 202.05/201.94 [2440]~E(x24401,x24402)+E(f624(x24401,x24403,x24404,x24405,x24406),f624(x24402,x24403,x24404,x24405,x24406))
% 202.05/201.94 [2441]~E(x24411,x24412)+E(f624(x24413,x24411,x24414,x24415,x24416),f624(x24413,x24412,x24414,x24415,x24416))
% 202.05/201.94 [2442]~E(x24421,x24422)+E(f624(x24423,x24424,x24421,x24425,x24426),f624(x24423,x24424,x24422,x24425,x24426))
% 202.05/201.94 [2443]~E(x24431,x24432)+E(f624(x24433,x24434,x24435,x24431,x24436),f624(x24433,x24434,x24435,x24432,x24436))
% 202.05/201.94 [2444]~E(x24441,x24442)+E(f624(x24443,x24444,x24445,x24446,x24441),f624(x24443,x24444,x24445,x24446,x24442))
% 202.05/201.94 [2445]~E(x24451,x24452)+E(f591(x24451,x24453,x24454,x24455),f591(x24452,x24453,x24454,x24455))
% 202.05/201.94 [2446]~E(x24461,x24462)+E(f591(x24463,x24461,x24464,x24465),f591(x24463,x24462,x24464,x24465))
% 202.05/201.94 [2447]~E(x24471,x24472)+E(f591(x24473,x24474,x24471,x24475),f591(x24473,x24474,x24472,x24475))
% 202.05/201.94 [2448]~E(x24481,x24482)+E(f591(x24483,x24484,x24485,x24481),f591(x24483,x24484,x24485,x24482))
% 202.05/201.94 [2449]~E(x24491,x24492)+E(f205(x24491,x24493,x24494,x24495),f205(x24492,x24493,x24494,x24495))
% 202.05/201.94 [2450]~E(x24501,x24502)+E(f205(x24503,x24501,x24504,x24505),f205(x24503,x24502,x24504,x24505))
% 202.05/201.94 [2451]~E(x24511,x24512)+E(f205(x24513,x24514,x24511,x24515),f205(x24513,x24514,x24512,x24515))
% 202.05/201.94 [2452]~E(x24521,x24522)+E(f205(x24523,x24524,x24525,x24521),f205(x24523,x24524,x24525,x24522))
% 202.05/201.94 [2453]~E(x24531,x24532)+E(f342(x24531,x24533),f342(x24532,x24533))
% 202.05/201.94 [2454]~E(x24541,x24542)+E(f342(x24543,x24541),f342(x24543,x24542))
% 202.05/201.94 [2455]~E(x24551,x24552)+E(f800(x24551,x24553),f800(x24552,x24553))
% 202.05/201.94 [2456]~E(x24561,x24562)+E(f800(x24563,x24561),f800(x24563,x24562))
% 202.05/201.94 [2457]~E(x24571,x24572)+E(f380(x24571,x24573),f380(x24572,x24573))
% 202.05/201.94 [2458]~E(x24581,x24582)+E(f380(x24583,x24581),f380(x24583,x24582))
% 202.05/201.94 [2459]~E(x24591,x24592)+E(f879(x24591,x24593),f879(x24592,x24593))
% 202.05/201.94 [2460]~E(x24601,x24602)+E(f879(x24603,x24601),f879(x24603,x24602))
% 202.05/201.94 [2461]~E(x24611,x24612)+E(f470(x24611,x24613),f470(x24612,x24613))
% 202.05/201.94 [2462]~E(x24621,x24622)+E(f470(x24623,x24621),f470(x24623,x24622))
% 202.05/201.94 [2463]~E(x24631,x24632)+E(f745(x24631,x24633,x24634),f745(x24632,x24633,x24634))
% 202.05/201.94 [2464]~E(x24641,x24642)+E(f745(x24643,x24641,x24644),f745(x24643,x24642,x24644))
% 202.05/201.94 [2465]~E(x24651,x24652)+E(f745(x24653,x24654,x24651),f745(x24653,x24654,x24652))
% 202.05/201.94 [2466]~E(x24661,x24662)+E(f886(x24661,x24663,x24664,x24665),f886(x24662,x24663,x24664,x24665))
% 202.05/201.94 [2467]~E(x24671,x24672)+E(f886(x24673,x24671,x24674,x24675),f886(x24673,x24672,x24674,x24675))
% 202.05/201.94 [2468]~E(x24681,x24682)+E(f886(x24683,x24684,x24681,x24685),f886(x24683,x24684,x24682,x24685))
% 202.05/201.94 [2469]~E(x24691,x24692)+E(f886(x24693,x24694,x24695,x24691),f886(x24693,x24694,x24695,x24692))
% 202.05/201.94 [2470]~E(x24701,x24702)+E(f620(x24701,x24703,x24704,x24705),f620(x24702,x24703,x24704,x24705))
% 202.05/201.94 [2471]~E(x24711,x24712)+E(f620(x24713,x24711,x24714,x24715),f620(x24713,x24712,x24714,x24715))
% 202.05/201.94 [2472]~E(x24721,x24722)+E(f620(x24723,x24724,x24721,x24725),f620(x24723,x24724,x24722,x24725))
% 202.05/201.94 [2473]~E(x24731,x24732)+E(f620(x24733,x24734,x24735,x24731),f620(x24733,x24734,x24735,x24732))
% 202.05/201.94 [2474]~E(x24741,x24742)+E(f585(x24741,x24743),f585(x24742,x24743))
% 202.05/201.94 [2475]~E(x24751,x24752)+E(f585(x24753,x24751),f585(x24753,x24752))
% 202.05/201.94 [2476]~E(x24761,x24762)+E(f811(x24761,x24763),f811(x24762,x24763))
% 202.05/201.94 [2477]~E(x24771,x24772)+E(f811(x24773,x24771),f811(x24773,x24772))
% 202.05/201.94 [2478]~E(x24781,x24782)+E(f486(x24781,x24783,x24784),f486(x24782,x24783,x24784))
% 202.05/201.94 [2479]~E(x24791,x24792)+E(f486(x24793,x24791,x24794),f486(x24793,x24792,x24794))
% 202.05/201.94 [2480]~E(x24801,x24802)+E(f486(x24803,x24804,x24801),f486(x24803,x24804,x24802))
% 202.05/201.94 [2481]~E(x24811,x24812)+E(f396(x24811,x24813,x24814),f396(x24812,x24813,x24814))
% 202.05/201.94 [2482]~E(x24821,x24822)+E(f396(x24823,x24821,x24824),f396(x24823,x24822,x24824))
% 202.05/201.94 [2483]~E(x24831,x24832)+E(f396(x24833,x24834,x24831),f396(x24833,x24834,x24832))
% 202.05/201.94 [2484]~E(x24841,x24842)+E(f259(x24841,x24843,x24844,x24845,x24846),f259(x24842,x24843,x24844,x24845,x24846))
% 202.05/201.94 [2485]~E(x24851,x24852)+E(f259(x24853,x24851,x24854,x24855,x24856),f259(x24853,x24852,x24854,x24855,x24856))
% 202.05/201.94 [2486]~E(x24861,x24862)+E(f259(x24863,x24864,x24861,x24865,x24866),f259(x24863,x24864,x24862,x24865,x24866))
% 202.05/201.94 [2487]~E(x24871,x24872)+E(f259(x24873,x24874,x24875,x24871,x24876),f259(x24873,x24874,x24875,x24872,x24876))
% 202.05/201.94 [2488]~E(x24881,x24882)+E(f259(x24883,x24884,x24885,x24886,x24881),f259(x24883,x24884,x24885,x24886,x24882))
% 202.05/201.94 [2489]~E(x24891,x24892)+E(f537(x24891,x24893,x24894,x24895,x24896,x24897,x24898,x24899),f537(x24892,x24893,x24894,x24895,x24896,x24897,x24898,x24899))
% 202.05/201.94 [2490]~E(x24901,x24902)+E(f537(x24903,x24901,x24904,x24905,x24906,x24907,x24908,x24909),f537(x24903,x24902,x24904,x24905,x24906,x24907,x24908,x24909))
% 202.05/201.94 [2491]~E(x24911,x24912)+E(f537(x24913,x24914,x24911,x24915,x24916,x24917,x24918,x24919),f537(x24913,x24914,x24912,x24915,x24916,x24917,x24918,x24919))
% 202.05/201.94 [2492]~E(x24921,x24922)+E(f537(x24923,x24924,x24925,x24921,x24926,x24927,x24928,x24929),f537(x24923,x24924,x24925,x24922,x24926,x24927,x24928,x24929))
% 202.05/201.94 [2493]~E(x24931,x24932)+E(f537(x24933,x24934,x24935,x24936,x24931,x24937,x24938,x24939),f537(x24933,x24934,x24935,x24936,x24932,x24937,x24938,x24939))
% 202.05/201.94 [2494]~E(x24941,x24942)+E(f537(x24943,x24944,x24945,x24946,x24947,x24941,x24948,x24949),f537(x24943,x24944,x24945,x24946,x24947,x24942,x24948,x24949))
% 202.05/201.94 [2495]~E(x24951,x24952)+E(f537(x24953,x24954,x24955,x24956,x24957,x24958,x24951,x24959),f537(x24953,x24954,x24955,x24956,x24957,x24958,x24952,x24959))
% 202.05/201.94 [2496]~E(x24961,x24962)+E(f537(x24963,x24964,x24965,x24966,x24967,x24968,x24969,x24961),f537(x24963,x24964,x24965,x24966,x24967,x24968,x24969,x24962))
% 202.05/201.94 [2497]~E(x24971,x24972)+E(f552(x24971,x24973,x24974,x24975,x24976),f552(x24972,x24973,x24974,x24975,x24976))
% 202.05/201.94 [2498]~E(x24981,x24982)+E(f552(x24983,x24981,x24984,x24985,x24986),f552(x24983,x24982,x24984,x24985,x24986))
% 202.05/201.94 [2499]~E(x24991,x24992)+E(f552(x24993,x24994,x24991,x24995,x24996),f552(x24993,x24994,x24992,x24995,x24996))
% 202.05/201.94 [2500]~E(x25001,x25002)+E(f552(x25003,x25004,x25005,x25001,x25006),f552(x25003,x25004,x25005,x25002,x25006))
% 202.05/201.94 [2501]~E(x25011,x25012)+E(f552(x25013,x25014,x25015,x25016,x25011),f552(x25013,x25014,x25015,x25016,x25012))
% 202.05/201.94 [2502]~E(x25021,x25022)+E(f597(x25021,x25023,x25024),f597(x25022,x25023,x25024))
% 202.05/201.94 [2503]~E(x25031,x25032)+E(f597(x25033,x25031,x25034),f597(x25033,x25032,x25034))
% 202.05/201.94 [2504]~E(x25041,x25042)+E(f597(x25043,x25044,x25041),f597(x25043,x25044,x25042))
% 202.05/201.94 [2505]~E(x25051,x25052)+E(f547(x25051,x25053,x25054,x25055,x25056,x25057),f547(x25052,x25053,x25054,x25055,x25056,x25057))
% 202.05/201.94 [2506]~E(x25061,x25062)+E(f547(x25063,x25061,x25064,x25065,x25066,x25067),f547(x25063,x25062,x25064,x25065,x25066,x25067))
% 202.05/201.94 [2507]~E(x25071,x25072)+E(f547(x25073,x25074,x25071,x25075,x25076,x25077),f547(x25073,x25074,x25072,x25075,x25076,x25077))
% 202.05/201.94 [2508]~E(x25081,x25082)+E(f547(x25083,x25084,x25085,x25081,x25086,x25087),f547(x25083,x25084,x25085,x25082,x25086,x25087))
% 202.05/201.94 [2509]~E(x25091,x25092)+E(f547(x25093,x25094,x25095,x25096,x25091,x25097),f547(x25093,x25094,x25095,x25096,x25092,x25097))
% 202.05/201.94 [2510]~E(x25101,x25102)+E(f547(x25103,x25104,x25105,x25106,x25107,x25101),f547(x25103,x25104,x25105,x25106,x25107,x25102))
% 202.05/201.94 [2511]~E(x25111,x25112)+E(f706(x25111,x25113,x25114),f706(x25112,x25113,x25114))
% 202.05/201.94 [2512]~E(x25121,x25122)+E(f706(x25123,x25121,x25124),f706(x25123,x25122,x25124))
% 202.05/201.94 [2513]~E(x25131,x25132)+E(f706(x25133,x25134,x25131),f706(x25133,x25134,x25132))
% 202.05/201.94 [2514]~E(x25141,x25142)+E(f746(x25141,x25143,x25144),f746(x25142,x25143,x25144))
% 202.05/201.94 [2515]~E(x25151,x25152)+E(f746(x25153,x25151,x25154),f746(x25153,x25152,x25154))
% 202.05/201.94 [2516]~E(x25161,x25162)+E(f746(x25163,x25164,x25161),f746(x25163,x25164,x25162))
% 202.05/201.94 [2517]~E(x25171,x25172)+E(f456(x25171,x25173,x25174,x25175,x25176),f456(x25172,x25173,x25174,x25175,x25176))
% 202.05/201.94 [2518]~E(x25181,x25182)+E(f456(x25183,x25181,x25184,x25185,x25186),f456(x25183,x25182,x25184,x25185,x25186))
% 202.05/201.94 [2519]~E(x25191,x25192)+E(f456(x25193,x25194,x25191,x25195,x25196),f456(x25193,x25194,x25192,x25195,x25196))
% 202.05/201.94 [2520]~E(x25201,x25202)+E(f456(x25203,x25204,x25205,x25201,x25206),f456(x25203,x25204,x25205,x25202,x25206))
% 202.05/201.94 [2521]~E(x25211,x25212)+E(f456(x25213,x25214,x25215,x25216,x25211),f456(x25213,x25214,x25215,x25216,x25212))
% 202.05/201.94 [2522]~E(x25221,x25222)+E(f853(x25221,x25223,x25224,x25225,x25226,x25227),f853(x25222,x25223,x25224,x25225,x25226,x25227))
% 202.05/201.94 [2523]~E(x25231,x25232)+E(f853(x25233,x25231,x25234,x25235,x25236,x25237),f853(x25233,x25232,x25234,x25235,x25236,x25237))
% 202.05/201.94 [2524]~E(x25241,x25242)+E(f853(x25243,x25244,x25241,x25245,x25246,x25247),f853(x25243,x25244,x25242,x25245,x25246,x25247))
% 202.05/201.94 [2525]~E(x25251,x25252)+E(f853(x25253,x25254,x25255,x25251,x25256,x25257),f853(x25253,x25254,x25255,x25252,x25256,x25257))
% 202.05/201.94 [2526]~E(x25261,x25262)+E(f853(x25263,x25264,x25265,x25266,x25261,x25267),f853(x25263,x25264,x25265,x25266,x25262,x25267))
% 202.05/201.94 [2527]~E(x25271,x25272)+E(f853(x25273,x25274,x25275,x25276,x25277,x25271),f853(x25273,x25274,x25275,x25276,x25277,x25272))
% 202.05/201.94 [2528]~E(x25281,x25282)+E(f485(x25281,x25283,x25284),f485(x25282,x25283,x25284))
% 202.05/201.94 [2529]~E(x25291,x25292)+E(f485(x25293,x25291,x25294),f485(x25293,x25292,x25294))
% 202.05/201.94 [2530]~E(x25301,x25302)+E(f485(x25303,x25304,x25301),f485(x25303,x25304,x25302))
% 202.05/201.94 [2531]~E(x25311,x25312)+E(f414(x25311,x25313,x25314,x25315,x25316),f414(x25312,x25313,x25314,x25315,x25316))
% 202.05/201.94 [2532]~E(x25321,x25322)+E(f414(x25323,x25321,x25324,x25325,x25326),f414(x25323,x25322,x25324,x25325,x25326))
% 202.05/201.94 [2533]~E(x25331,x25332)+E(f414(x25333,x25334,x25331,x25335,x25336),f414(x25333,x25334,x25332,x25335,x25336))
% 202.05/201.94 [2534]~E(x25341,x25342)+E(f414(x25343,x25344,x25345,x25341,x25346),f414(x25343,x25344,x25345,x25342,x25346))
% 202.05/201.94 [2535]~E(x25351,x25352)+E(f414(x25353,x25354,x25355,x25356,x25351),f414(x25353,x25354,x25355,x25356,x25352))
% 202.05/201.94 [2536]~E(x25361,x25362)+E(f684(x25361,x25363,x25364,x25365,x25366),f684(x25362,x25363,x25364,x25365,x25366))
% 202.05/201.94 [2537]~E(x25371,x25372)+E(f684(x25373,x25371,x25374,x25375,x25376),f684(x25373,x25372,x25374,x25375,x25376))
% 202.05/201.94 [2538]~E(x25381,x25382)+E(f684(x25383,x25384,x25381,x25385,x25386),f684(x25383,x25384,x25382,x25385,x25386))
% 202.05/201.94 [2539]~E(x25391,x25392)+E(f684(x25393,x25394,x25395,x25391,x25396),f684(x25393,x25394,x25395,x25392,x25396))
% 202.05/201.94 [2540]~E(x25401,x25402)+E(f684(x25403,x25404,x25405,x25406,x25401),f684(x25403,x25404,x25405,x25406,x25402))
% 202.05/201.94 [2541]~E(x25411,x25412)+E(f393(x25411,x25413,x25414,x25415,x25416,x25417,x25418),f393(x25412,x25413,x25414,x25415,x25416,x25417,x25418))
% 202.05/201.94 [2542]~E(x25421,x25422)+E(f393(x25423,x25421,x25424,x25425,x25426,x25427,x25428),f393(x25423,x25422,x25424,x25425,x25426,x25427,x25428))
% 202.05/201.94 [2543]~E(x25431,x25432)+E(f393(x25433,x25434,x25431,x25435,x25436,x25437,x25438),f393(x25433,x25434,x25432,x25435,x25436,x25437,x25438))
% 202.05/201.94 [2544]~E(x25441,x25442)+E(f393(x25443,x25444,x25445,x25441,x25446,x25447,x25448),f393(x25443,x25444,x25445,x25442,x25446,x25447,x25448))
% 202.05/201.94 [2545]~E(x25451,x25452)+E(f393(x25453,x25454,x25455,x25456,x25451,x25457,x25458),f393(x25453,x25454,x25455,x25456,x25452,x25457,x25458))
% 202.05/201.94 [2546]~E(x25461,x25462)+E(f393(x25463,x25464,x25465,x25466,x25467,x25461,x25468),f393(x25463,x25464,x25465,x25466,x25467,x25462,x25468))
% 202.05/201.94 [2547]~E(x25471,x25472)+E(f393(x25473,x25474,x25475,x25476,x25477,x25478,x25471),f393(x25473,x25474,x25475,x25476,x25477,x25478,x25472))
% 202.05/201.94 [2548]~E(x25481,x25482)+E(f899(x25481,x25483,x25484),f899(x25482,x25483,x25484))
% 202.05/201.94 [2549]~E(x25491,x25492)+E(f899(x25493,x25491,x25494),f899(x25493,x25492,x25494))
% 202.05/201.94 [2550]~E(x25501,x25502)+E(f899(x25503,x25504,x25501),f899(x25503,x25504,x25502))
% 202.05/201.94 [2551]~E(x25511,x25512)+E(f582(x25511,x25513,x25514,x25515,x25516,x25517),f582(x25512,x25513,x25514,x25515,x25516,x25517))
% 202.05/201.94 [2552]~E(x25521,x25522)+E(f582(x25523,x25521,x25524,x25525,x25526,x25527),f582(x25523,x25522,x25524,x25525,x25526,x25527))
% 202.05/201.94 [2553]~E(x25531,x25532)+E(f582(x25533,x25534,x25531,x25535,x25536,x25537),f582(x25533,x25534,x25532,x25535,x25536,x25537))
% 202.05/201.94 [2554]~E(x25541,x25542)+E(f582(x25543,x25544,x25545,x25541,x25546,x25547),f582(x25543,x25544,x25545,x25542,x25546,x25547))
% 202.05/201.94 [2555]~E(x25551,x25552)+E(f582(x25553,x25554,x25555,x25556,x25551,x25557),f582(x25553,x25554,x25555,x25556,x25552,x25557))
% 202.05/201.94 [2556]~E(x25561,x25562)+E(f582(x25563,x25564,x25565,x25566,x25567,x25561),f582(x25563,x25564,x25565,x25566,x25567,x25562))
% 202.05/201.94 [2557]~E(x25571,x25572)+E(f688(x25571,x25573),f688(x25572,x25573))
% 202.05/201.94 [2558]~E(x25581,x25582)+E(f688(x25583,x25581),f688(x25583,x25582))
% 202.05/201.94 [2559]~E(x25591,x25592)+E(f540(x25591,x25593,x25594),f540(x25592,x25593,x25594))
% 202.05/201.94 [2560]~E(x25601,x25602)+E(f540(x25603,x25601,x25604),f540(x25603,x25602,x25604))
% 202.05/201.94 [2561]~E(x25611,x25612)+E(f540(x25613,x25614,x25611),f540(x25613,x25614,x25612))
% 202.05/201.94 [2562]~E(x25621,x25622)+E(f902(x25621),f902(x25622))
% 202.05/201.94 [2563]~E(x25631,x25632)+E(f341(x25631,x25633,x25634),f341(x25632,x25633,x25634))
% 202.05/201.94 [2564]~E(x25641,x25642)+E(f341(x25643,x25641,x25644),f341(x25643,x25642,x25644))
% 202.05/201.94 [2565]~E(x25651,x25652)+E(f341(x25653,x25654,x25651),f341(x25653,x25654,x25652))
% 202.05/201.94 [2566]~E(x25661,x25662)+E(f471(x25661,x25663,x25664),f471(x25662,x25663,x25664))
% 202.05/201.94 [2567]~E(x25671,x25672)+E(f471(x25673,x25671,x25674),f471(x25673,x25672,x25674))
% 202.05/201.94 [2568]~E(x25681,x25682)+E(f471(x25683,x25684,x25681),f471(x25683,x25684,x25682))
% 202.05/201.94 [2569]~E(x25691,x25692)+E(f891(x25691,x25693,x25694,x25695),f891(x25692,x25693,x25694,x25695))
% 202.05/201.94 [2570]~E(x25701,x25702)+E(f891(x25703,x25701,x25704,x25705),f891(x25703,x25702,x25704,x25705))
% 202.05/201.94 [2571]~E(x25711,x25712)+E(f891(x25713,x25714,x25711,x25715),f891(x25713,x25714,x25712,x25715))
% 202.05/201.94 [2572]~E(x25721,x25722)+E(f891(x25723,x25724,x25725,x25721),f891(x25723,x25724,x25725,x25722))
% 202.05/201.94 [2573]~E(x25731,x25732)+E(f741(x25731,x25733,x25734,x25735),f741(x25732,x25733,x25734,x25735))
% 202.05/201.94 [2574]~E(x25741,x25742)+E(f741(x25743,x25741,x25744,x25745),f741(x25743,x25742,x25744,x25745))
% 202.05/201.94 [2575]~E(x25751,x25752)+E(f741(x25753,x25754,x25751,x25755),f741(x25753,x25754,x25752,x25755))
% 202.05/201.94 [2576]~E(x25761,x25762)+E(f741(x25763,x25764,x25765,x25761),f741(x25763,x25764,x25765,x25762))
% 202.05/201.94 [2577]~E(x25771,x25772)+E(f896(x25771,x25773,x25774),f896(x25772,x25773,x25774))
% 202.05/201.94 [2578]~E(x25781,x25782)+E(f896(x25783,x25781,x25784),f896(x25783,x25782,x25784))
% 202.05/201.94 [2579]~E(x25791,x25792)+E(f896(x25793,x25794,x25791),f896(x25793,x25794,x25792))
% 202.05/201.94 [2580]~E(x25801,x25802)+E(f603(x25801,x25803),f603(x25802,x25803))
% 202.05/201.94 [2581]~E(x25811,x25812)+E(f603(x25813,x25811),f603(x25813,x25812))
% 202.05/201.94 [2582]~E(x25821,x25822)+E(f772(x25821,x25823),f772(x25822,x25823))
% 202.05/201.94 [2583]~E(x25831,x25832)+E(f772(x25833,x25831),f772(x25833,x25832))
% 202.05/201.94 [2584]~E(x25841,x25842)+E(f521(x25841,x25843),f521(x25842,x25843))
% 202.05/201.94 [2585]~E(x25851,x25852)+E(f521(x25853,x25851),f521(x25853,x25852))
% 202.05/201.94 [2586]~E(x25861,x25862)+E(f525(x25861),f525(x25862))
% 202.05/201.94 [2587]~E(x25871,x25872)+E(f771(x25871,x25873,x25874),f771(x25872,x25873,x25874))
% 202.05/201.94 [2588]~E(x25881,x25882)+E(f771(x25883,x25881,x25884),f771(x25883,x25882,x25884))
% 202.05/201.94 [2589]~E(x25891,x25892)+E(f771(x25893,x25894,x25891),f771(x25893,x25894,x25892))
% 202.05/201.94 [2590]~E(x25901,x25902)+E(f894(x25901,x25903,x25904,x25905),f894(x25902,x25903,x25904,x25905))
% 202.05/201.94 [2591]~E(x25911,x25912)+E(f894(x25913,x25911,x25914,x25915),f894(x25913,x25912,x25914,x25915))
% 202.05/201.94 [2592]~E(x25921,x25922)+E(f894(x25923,x25924,x25921,x25925),f894(x25923,x25924,x25922,x25925))
% 202.05/201.94 [2593]~E(x25931,x25932)+E(f894(x25933,x25934,x25935,x25931),f894(x25933,x25934,x25935,x25932))
% 202.05/201.94 [2594]~E(x25941,x25942)+E(f875(x25941,x25943,x25944,x25945,x25946),f875(x25942,x25943,x25944,x25945,x25946))
% 202.05/201.94 [2595]~E(x25951,x25952)+E(f875(x25953,x25951,x25954,x25955,x25956),f875(x25953,x25952,x25954,x25955,x25956))
% 202.05/201.94 [2596]~E(x25961,x25962)+E(f875(x25963,x25964,x25961,x25965,x25966),f875(x25963,x25964,x25962,x25965,x25966))
% 202.05/201.94 [2597]~E(x25971,x25972)+E(f875(x25973,x25974,x25975,x25971,x25976),f875(x25973,x25974,x25975,x25972,x25976))
% 202.05/201.94 [2598]~E(x25981,x25982)+E(f875(x25983,x25984,x25985,x25986,x25981),f875(x25983,x25984,x25985,x25986,x25982))
% 202.05/201.94 [2599]~E(x25991,x25992)+E(f740(x25991,x25993,x25994),f740(x25992,x25993,x25994))
% 202.05/201.94 [2600]~E(x26001,x26002)+E(f740(x26003,x26001,x26004),f740(x26003,x26002,x26004))
% 202.05/201.94 [2601]~E(x26011,x26012)+E(f740(x26013,x26014,x26011),f740(x26013,x26014,x26012))
% 202.05/201.94 [2602]~E(x26021,x26022)+E(f559(x26021,x26023,x26024,x26025),f559(x26022,x26023,x26024,x26025))
% 202.05/201.94 [2603]~E(x26031,x26032)+E(f559(x26033,x26031,x26034,x26035),f559(x26033,x26032,x26034,x26035))
% 202.05/201.94 [2604]~E(x26041,x26042)+E(f559(x26043,x26044,x26041,x26045),f559(x26043,x26044,x26042,x26045))
% 202.05/201.94 [2605]~E(x26051,x26052)+E(f559(x26053,x26054,x26055,x26051),f559(x26053,x26054,x26055,x26052))
% 202.05/201.94 [2606]~E(x26061,x26062)+E(f626(x26061,x26063,x26064,x26065,x26066,x26067,x26068),f626(x26062,x26063,x26064,x26065,x26066,x26067,x26068))
% 202.05/201.94 [2607]~E(x26071,x26072)+E(f626(x26073,x26071,x26074,x26075,x26076,x26077,x26078),f626(x26073,x26072,x26074,x26075,x26076,x26077,x26078))
% 202.05/201.94 [2608]~E(x26081,x26082)+E(f626(x26083,x26084,x26081,x26085,x26086,x26087,x26088),f626(x26083,x26084,x26082,x26085,x26086,x26087,x26088))
% 202.05/201.94 [2609]~E(x26091,x26092)+E(f626(x26093,x26094,x26095,x26091,x26096,x26097,x26098),f626(x26093,x26094,x26095,x26092,x26096,x26097,x26098))
% 202.05/201.94 [2610]~E(x26101,x26102)+E(f626(x26103,x26104,x26105,x26106,x26101,x26107,x26108),f626(x26103,x26104,x26105,x26106,x26102,x26107,x26108))
% 202.05/201.94 [2611]~E(x26111,x26112)+E(f626(x26113,x26114,x26115,x26116,x26117,x26111,x26118),f626(x26113,x26114,x26115,x26116,x26117,x26112,x26118))
% 202.05/201.94 [2612]~E(x26121,x26122)+E(f626(x26123,x26124,x26125,x26126,x26127,x26128,x26121),f626(x26123,x26124,x26125,x26126,x26127,x26128,x26122))
% 202.05/201.94 [2613]~E(x26131,x26132)+E(f818(x26131,x26133,x26134,x26135),f818(x26132,x26133,x26134,x26135))
% 202.05/201.94 [2614]~E(x26141,x26142)+E(f818(x26143,x26141,x26144,x26145),f818(x26143,x26142,x26144,x26145))
% 202.05/201.94 [2615]~E(x26151,x26152)+E(f818(x26153,x26154,x26151,x26155),f818(x26153,x26154,x26152,x26155))
% 202.05/201.94 [2616]~E(x26161,x26162)+E(f818(x26163,x26164,x26165,x26161),f818(x26163,x26164,x26165,x26162))
% 202.05/201.94 [2617]~E(x26171,x26172)+E(f362(x26171),f362(x26172))
% 202.05/201.94 [2618]~E(x26181,x26182)+E(f350(x26181,x26183,x26184),f350(x26182,x26183,x26184))
% 202.05/201.94 [2619]~E(x26191,x26192)+E(f350(x26193,x26191,x26194),f350(x26193,x26192,x26194))
% 202.05/201.94 [2620]~E(x26201,x26202)+E(f350(x26203,x26204,x26201),f350(x26203,x26204,x26202))
% 202.05/201.94 [2621]~E(x26211,x26212)+E(f122(x26211,x26213,x26214,x26215),f122(x26212,x26213,x26214,x26215))
% 202.05/201.94 [2622]~E(x26221,x26222)+E(f122(x26223,x26221,x26224,x26225),f122(x26223,x26222,x26224,x26225))
% 202.05/201.94 [2623]~E(x26231,x26232)+E(f122(x26233,x26234,x26231,x26235),f122(x26233,x26234,x26232,x26235))
% 202.05/201.94 [2624]~E(x26241,x26242)+E(f122(x26243,x26244,x26245,x26241),f122(x26243,x26244,x26245,x26242))
% 202.05/201.94 [2625]~E(x26251,x26252)+E(f887(x26251),f887(x26252))
% 202.05/201.94 [2626]~E(x26261,x26262)+E(f581(x26261,x26263,x26264,x26265,x26266,x26267),f581(x26262,x26263,x26264,x26265,x26266,x26267))
% 202.05/201.94 [2627]~E(x26271,x26272)+E(f581(x26273,x26271,x26274,x26275,x26276,x26277),f581(x26273,x26272,x26274,x26275,x26276,x26277))
% 202.05/201.94 [2628]~E(x26281,x26282)+E(f581(x26283,x26284,x26281,x26285,x26286,x26287),f581(x26283,x26284,x26282,x26285,x26286,x26287))
% 202.05/201.94 [2629]~E(x26291,x26292)+E(f581(x26293,x26294,x26295,x26291,x26296,x26297),f581(x26293,x26294,x26295,x26292,x26296,x26297))
% 202.05/201.94 [2630]~E(x26301,x26302)+E(f581(x26303,x26304,x26305,x26306,x26301,x26307),f581(x26303,x26304,x26305,x26306,x26302,x26307))
% 202.05/201.94 [2631]~E(x26311,x26312)+E(f581(x26313,x26314,x26315,x26316,x26317,x26311),f581(x26313,x26314,x26315,x26316,x26317,x26312))
% 202.05/201.94 [2632]~E(x26321,x26322)+E(f738(x26321,x26323),f738(x26322,x26323))
% 202.05/201.94 [2633]~E(x26331,x26332)+E(f738(x26333,x26331),f738(x26333,x26332))
% 202.05/201.94 [2634]~E(x26341,x26342)+E(f827(x26341,x26343,x26344,x26345,x26346,x26347,x26348,x26349),f827(x26342,x26343,x26344,x26345,x26346,x26347,x26348,x26349))
% 202.05/201.94 [2635]~E(x26351,x26352)+E(f827(x26353,x26351,x26354,x26355,x26356,x26357,x26358,x26359),f827(x26353,x26352,x26354,x26355,x26356,x26357,x26358,x26359))
% 202.05/201.94 [2636]~E(x26361,x26362)+E(f827(x26363,x26364,x26361,x26365,x26366,x26367,x26368,x26369),f827(x26363,x26364,x26362,x26365,x26366,x26367,x26368,x26369))
% 202.05/201.94 [2637]~E(x26371,x26372)+E(f827(x26373,x26374,x26375,x26371,x26376,x26377,x26378,x26379),f827(x26373,x26374,x26375,x26372,x26376,x26377,x26378,x26379))
% 202.05/201.94 [2638]~E(x26381,x26382)+E(f827(x26383,x26384,x26385,x26386,x26381,x26387,x26388,x26389),f827(x26383,x26384,x26385,x26386,x26382,x26387,x26388,x26389))
% 202.05/201.94 [2639]~E(x26391,x26392)+E(f827(x26393,x26394,x26395,x26396,x26397,x26391,x26398,x26399),f827(x26393,x26394,x26395,x26396,x26397,x26392,x26398,x26399))
% 202.05/201.94 [2640]~E(x26401,x26402)+E(f827(x26403,x26404,x26405,x26406,x26407,x26408,x26401,x26409),f827(x26403,x26404,x26405,x26406,x26407,x26408,x26402,x26409))
% 202.05/201.94 [2641]~E(x26411,x26412)+E(f827(x26413,x26414,x26415,x26416,x26417,x26418,x26419,x26411),f827(x26413,x26414,x26415,x26416,x26417,x26418,x26419,x26412))
% 202.05/201.94 [2642]~E(x26421,x26422)+E(f452(x26421,x26423,x26424,x26425),f452(x26422,x26423,x26424,x26425))
% 202.05/201.94 [2643]~E(x26431,x26432)+E(f452(x26433,x26431,x26434,x26435),f452(x26433,x26432,x26434,x26435))
% 202.05/201.94 [2644]~E(x26441,x26442)+E(f452(x26443,x26444,x26441,x26445),f452(x26443,x26444,x26442,x26445))
% 202.05/201.94 [2645]~E(x26451,x26452)+E(f452(x26453,x26454,x26455,x26451),f452(x26453,x26454,x26455,x26452))
% 202.05/201.94 [2646]~E(x26461,x26462)+E(f780(x26461),f780(x26462))
% 202.05/201.94 [2647]~E(x26471,x26472)+E(f662(x26471,x26473,x26474),f662(x26472,x26473,x26474))
% 202.05/201.94 [2648]~E(x26481,x26482)+E(f662(x26483,x26481,x26484),f662(x26483,x26482,x26484))
% 202.05/201.94 [2649]~E(x26491,x26492)+E(f662(x26493,x26494,x26491),f662(x26493,x26494,x26492))
% 202.05/201.94 [2650]~E(x26501,x26502)+E(f751(x26501,x26503,x26504),f751(x26502,x26503,x26504))
% 202.05/201.94 [2651]~E(x26511,x26512)+E(f751(x26513,x26511,x26514),f751(x26513,x26512,x26514))
% 202.05/201.94 [2652]~E(x26521,x26522)+E(f751(x26523,x26524,x26521),f751(x26523,x26524,x26522))
% 202.05/201.94 [2653]~E(x26531,x26532)+E(f830(x26531,x26533,x26534,x26535),f830(x26532,x26533,x26534,x26535))
% 202.05/201.94 [2654]~E(x26541,x26542)+E(f830(x26543,x26541,x26544,x26545),f830(x26543,x26542,x26544,x26545))
% 202.05/201.94 [2655]~E(x26551,x26552)+E(f830(x26553,x26554,x26551,x26555),f830(x26553,x26554,x26552,x26555))
% 202.05/201.94 [2656]~E(x26561,x26562)+E(f830(x26563,x26564,x26565,x26561),f830(x26563,x26564,x26565,x26562))
% 202.05/201.94 [2657]~E(x26571,x26572)+E(f680(x26571,x26573,x26574),f680(x26572,x26573,x26574))
% 202.05/201.94 [2658]~E(x26581,x26582)+E(f680(x26583,x26581,x26584),f680(x26583,x26582,x26584))
% 202.05/201.94 [2659]~E(x26591,x26592)+E(f680(x26593,x26594,x26591),f680(x26593,x26594,x26592))
% 202.05/201.94 [2660]~E(x26601,x26602)+E(f439(x26601,x26603,x26604,x26605),f439(x26602,x26603,x26604,x26605))
% 202.05/201.94 [2661]~E(x26611,x26612)+E(f439(x26613,x26611,x26614,x26615),f439(x26613,x26612,x26614,x26615))
% 202.05/201.94 [2662]~E(x26621,x26622)+E(f439(x26623,x26624,x26621,x26625),f439(x26623,x26624,x26622,x26625))
% 202.05/201.94 [2663]~E(x26631,x26632)+E(f439(x26633,x26634,x26635,x26631),f439(x26633,x26634,x26635,x26632))
% 202.05/201.94 [2664]~E(x26641,x26642)+E(f821(x26641,x26643,x26644),f821(x26642,x26643,x26644))
% 202.05/201.94 [2665]~E(x26651,x26652)+E(f821(x26653,x26651,x26654),f821(x26653,x26652,x26654))
% 202.05/201.94 [2666]~E(x26661,x26662)+E(f821(x26663,x26664,x26661),f821(x26663,x26664,x26662))
% 202.05/201.94 [2667]~E(x26671,x26672)+E(f809(x26671,x26673),f809(x26672,x26673))
% 202.05/201.94 [2668]~E(x26681,x26682)+E(f809(x26683,x26681),f809(x26683,x26682))
% 202.05/201.94 [2669]~E(x26691,x26692)+E(f200(x26691),f200(x26692))
% 202.05/201.94 [2670]~E(x26701,x26702)+E(f786(x26701,x26703),f786(x26702,x26703))
% 202.05/201.94 [2671]~E(x26711,x26712)+E(f786(x26713,x26711),f786(x26713,x26712))
% 202.05/201.94 [2672]~E(x26721,x26722)+E(f408(x26721,x26723),f408(x26722,x26723))
% 202.05/201.94 [2673]~E(x26731,x26732)+E(f408(x26733,x26731),f408(x26733,x26732))
% 202.05/201.94 [2674]~E(x26741,x26742)+E(f513(x26741),f513(x26742))
% 202.05/201.94 [2675]~E(x26751,x26752)+E(f828(x26751,x26753,x26754,x26755,x26756,x26757,x26758),f828(x26752,x26753,x26754,x26755,x26756,x26757,x26758))
% 202.05/201.94 [2676]~E(x26761,x26762)+E(f828(x26763,x26761,x26764,x26765,x26766,x26767,x26768),f828(x26763,x26762,x26764,x26765,x26766,x26767,x26768))
% 202.05/201.94 [2677]~E(x26771,x26772)+E(f828(x26773,x26774,x26771,x26775,x26776,x26777,x26778),f828(x26773,x26774,x26772,x26775,x26776,x26777,x26778))
% 202.05/201.94 [2678]~E(x26781,x26782)+E(f828(x26783,x26784,x26785,x26781,x26786,x26787,x26788),f828(x26783,x26784,x26785,x26782,x26786,x26787,x26788))
% 202.05/201.94 [2679]~E(x26791,x26792)+E(f828(x26793,x26794,x26795,x26796,x26791,x26797,x26798),f828(x26793,x26794,x26795,x26796,x26792,x26797,x26798))
% 202.05/201.94 [2680]~E(x26801,x26802)+E(f828(x26803,x26804,x26805,x26806,x26807,x26801,x26808),f828(x26803,x26804,x26805,x26806,x26807,x26802,x26808))
% 202.05/201.94 [2681]~E(x26811,x26812)+E(f828(x26813,x26814,x26815,x26816,x26817,x26818,x26811),f828(x26813,x26814,x26815,x26816,x26817,x26818,x26812))
% 202.05/201.94 [2682]~E(x26821,x26822)+E(f366(x26821,x26823,x26824),f366(x26822,x26823,x26824))
% 202.05/201.94 [2683]~E(x26831,x26832)+E(f366(x26833,x26831,x26834),f366(x26833,x26832,x26834))
% 202.05/201.94 [2684]~E(x26841,x26842)+E(f366(x26843,x26844,x26841),f366(x26843,x26844,x26842))
% 202.05/201.94 [2685]~E(x26851,x26852)+E(f438(x26851,x26853,x26854,x26855),f438(x26852,x26853,x26854,x26855))
% 202.05/201.94 [2686]~E(x26861,x26862)+E(f438(x26863,x26861,x26864,x26865),f438(x26863,x26862,x26864,x26865))
% 202.05/201.94 [2687]~E(x26871,x26872)+E(f438(x26873,x26874,x26871,x26875),f438(x26873,x26874,x26872,x26875))
% 202.05/201.94 [2688]~E(x26881,x26882)+E(f438(x26883,x26884,x26885,x26881),f438(x26883,x26884,x26885,x26882))
% 202.05/201.94 [2689]~E(x26891,x26892)+E(f195(x26891,x26893,x26894,x26895),f195(x26892,x26893,x26894,x26895))
% 202.05/201.94 [2690]~E(x26901,x26902)+E(f195(x26903,x26901,x26904,x26905),f195(x26903,x26902,x26904,x26905))
% 202.05/201.94 [2691]~E(x26911,x26912)+E(f195(x26913,x26914,x26911,x26915),f195(x26913,x26914,x26912,x26915))
% 202.05/201.94 [2692]~E(x26921,x26922)+E(f195(x26923,x26924,x26925,x26921),f195(x26923,x26924,x26925,x26922))
% 202.05/201.94 [2693]~E(x26931,x26932)+E(f691(x26931,x26933,x26934,x26935,x26936),f691(x26932,x26933,x26934,x26935,x26936))
% 202.05/201.94 [2694]~E(x26941,x26942)+E(f691(x26943,x26941,x26944,x26945,x26946),f691(x26943,x26942,x26944,x26945,x26946))
% 202.05/201.94 [2695]~E(x26951,x26952)+E(f691(x26953,x26954,x26951,x26955,x26956),f691(x26953,x26954,x26952,x26955,x26956))
% 202.05/201.94 [2696]~E(x26961,x26962)+E(f691(x26963,x26964,x26965,x26961,x26966),f691(x26963,x26964,x26965,x26962,x26966))
% 202.05/201.94 [2697]~E(x26971,x26972)+E(f691(x26973,x26974,x26975,x26976,x26971),f691(x26973,x26974,x26975,x26976,x26972))
% 202.05/201.94 [2698]~E(x26981,x26982)+E(f759(x26981,x26983,x26984,x26985),f759(x26982,x26983,x26984,x26985))
% 202.05/201.94 [2699]~E(x26991,x26992)+E(f759(x26993,x26991,x26994,x26995),f759(x26993,x26992,x26994,x26995))
% 202.05/201.94 [2700]~E(x27001,x27002)+E(f759(x27003,x27004,x27001,x27005),f759(x27003,x27004,x27002,x27005))
% 202.05/201.94 [2701]~E(x27011,x27012)+E(f759(x27013,x27014,x27015,x27011),f759(x27013,x27014,x27015,x27012))
% 202.05/201.94 [2702]~E(x27021,x27022)+E(f357(x27021,x27023,x27024),f357(x27022,x27023,x27024))
% 202.05/201.94 [2703]~E(x27031,x27032)+E(f357(x27033,x27031,x27034),f357(x27033,x27032,x27034))
% 202.05/201.94 [2704]~E(x27041,x27042)+E(f357(x27043,x27044,x27041),f357(x27043,x27044,x27042))
% 202.05/201.94 [2705]~E(x27051,x27052)+E(f277(x27051),f277(x27052))
% 202.05/201.94 [2706]~E(x27061,x27062)+E(f685(x27061,x27063,x27064),f685(x27062,x27063,x27064))
% 202.05/201.94 [2707]~E(x27071,x27072)+E(f685(x27073,x27071,x27074),f685(x27073,x27072,x27074))
% 202.05/201.94 [2708]~E(x27081,x27082)+E(f685(x27083,x27084,x27081),f685(x27083,x27084,x27082))
% 202.05/201.94 [2709]~E(x27091,x27092)+E(f763(x27091,x27093,x27094,x27095),f763(x27092,x27093,x27094,x27095))
% 202.05/201.94 [2710]~E(x27101,x27102)+E(f763(x27103,x27101,x27104,x27105),f763(x27103,x27102,x27104,x27105))
% 202.05/201.94 [2711]~E(x27111,x27112)+E(f763(x27113,x27114,x27111,x27115),f763(x27113,x27114,x27112,x27115))
% 202.05/201.94 [2712]~E(x27121,x27122)+E(f763(x27123,x27124,x27125,x27121),f763(x27123,x27124,x27125,x27122))
% 202.05/201.94 [2713]~E(x27131,x27132)+E(f479(x27131,x27133,x27134),f479(x27132,x27133,x27134))
% 202.05/201.94 [2714]~E(x27141,x27142)+E(f479(x27143,x27141,x27144),f479(x27143,x27142,x27144))
% 202.05/201.94 [2715]~E(x27151,x27152)+E(f479(x27153,x27154,x27151),f479(x27153,x27154,x27152))
% 202.05/201.94 [2716]~E(x27161,x27162)+E(f367(x27161,x27163),f367(x27162,x27163))
% 202.05/201.94 [2717]~E(x27171,x27172)+E(f367(x27173,x27171),f367(x27173,x27172))
% 202.05/201.94 [2718]~E(x27181,x27182)+E(f847(x27181,x27183),f847(x27182,x27183))
% 202.05/201.94 [2719]~E(x27191,x27192)+E(f847(x27193,x27191),f847(x27193,x27192))
% 202.05/201.94 [2720]~E(x27201,x27202)+E(f726(x27201,x27203),f726(x27202,x27203))
% 202.05/201.94 [2721]~E(x27211,x27212)+E(f726(x27213,x27211),f726(x27213,x27212))
% 202.05/201.94 [2722]~E(x27221,x27222)+E(f491(x27221,x27223,x27224),f491(x27222,x27223,x27224))
% 202.05/201.94 [2723]~E(x27231,x27232)+E(f491(x27233,x27231,x27234),f491(x27233,x27232,x27234))
% 202.05/201.94 [2724]~E(x27241,x27242)+E(f491(x27243,x27244,x27241),f491(x27243,x27244,x27242))
% 202.05/201.94 [2725]~E(x27251,x27252)+E(f225(x27251,x27253,x27254,x27255,x27256),f225(x27252,x27253,x27254,x27255,x27256))
% 202.05/201.94 [2726]~E(x27261,x27262)+E(f225(x27263,x27261,x27264,x27265,x27266),f225(x27263,x27262,x27264,x27265,x27266))
% 202.05/201.94 [2727]~E(x27271,x27272)+E(f225(x27273,x27274,x27271,x27275,x27276),f225(x27273,x27274,x27272,x27275,x27276))
% 202.05/201.94 [2728]~E(x27281,x27282)+E(f225(x27283,x27284,x27285,x27281,x27286),f225(x27283,x27284,x27285,x27282,x27286))
% 202.05/201.94 [2729]~E(x27291,x27292)+E(f225(x27293,x27294,x27295,x27296,x27291),f225(x27293,x27294,x27295,x27296,x27292))
% 202.05/201.94 [2730]~E(x27301,x27302)+E(f829(x27301,x27303,x27304,x27305),f829(x27302,x27303,x27304,x27305))
% 202.05/201.94 [2731]~E(x27311,x27312)+E(f829(x27313,x27311,x27314,x27315),f829(x27313,x27312,x27314,x27315))
% 202.05/201.94 [2732]~E(x27321,x27322)+E(f829(x27323,x27324,x27321,x27325),f829(x27323,x27324,x27322,x27325))
% 202.05/201.94 [2733]~E(x27331,x27332)+E(f829(x27333,x27334,x27335,x27331),f829(x27333,x27334,x27335,x27332))
% 202.05/201.94 [2734]~E(x27341,x27342)+E(f832(x27341,x27343,x27344,x27345,x27346,x27347,x27348,x27349),f832(x27342,x27343,x27344,x27345,x27346,x27347,x27348,x27349))
% 202.05/201.94 [2735]~E(x27351,x27352)+E(f832(x27353,x27351,x27354,x27355,x27356,x27357,x27358,x27359),f832(x27353,x27352,x27354,x27355,x27356,x27357,x27358,x27359))
% 202.05/201.94 [2736]~E(x27361,x27362)+E(f832(x27363,x27364,x27361,x27365,x27366,x27367,x27368,x27369),f832(x27363,x27364,x27362,x27365,x27366,x27367,x27368,x27369))
% 202.05/201.94 [2737]~E(x27371,x27372)+E(f832(x27373,x27374,x27375,x27371,x27376,x27377,x27378,x27379),f832(x27373,x27374,x27375,x27372,x27376,x27377,x27378,x27379))
% 202.05/201.94 [2738]~E(x27381,x27382)+E(f832(x27383,x27384,x27385,x27386,x27381,x27387,x27388,x27389),f832(x27383,x27384,x27385,x27386,x27382,x27387,x27388,x27389))
% 202.05/201.94 [2739]~E(x27391,x27392)+E(f832(x27393,x27394,x27395,x27396,x27397,x27391,x27398,x27399),f832(x27393,x27394,x27395,x27396,x27397,x27392,x27398,x27399))
% 202.05/201.94 [2740]~E(x27401,x27402)+E(f832(x27403,x27404,x27405,x27406,x27407,x27408,x27401,x27409),f832(x27403,x27404,x27405,x27406,x27407,x27408,x27402,x27409))
% 202.05/201.94 [2741]~E(x27411,x27412)+E(f832(x27413,x27414,x27415,x27416,x27417,x27418,x27419,x27411),f832(x27413,x27414,x27415,x27416,x27417,x27418,x27419,x27412))
% 202.05/201.94 [2742]~E(x27421,x27422)+E(f412(x27421,x27423,x27424,x27425,x27426),f412(x27422,x27423,x27424,x27425,x27426))
% 202.05/201.94 [2743]~E(x27431,x27432)+E(f412(x27433,x27431,x27434,x27435,x27436),f412(x27433,x27432,x27434,x27435,x27436))
% 202.05/201.94 [2744]~E(x27441,x27442)+E(f412(x27443,x27444,x27441,x27445,x27446),f412(x27443,x27444,x27442,x27445,x27446))
% 202.05/201.94 [2745]~E(x27451,x27452)+E(f412(x27453,x27454,x27455,x27451,x27456),f412(x27453,x27454,x27455,x27452,x27456))
% 202.05/201.94 [2746]~E(x27461,x27462)+E(f412(x27463,x27464,x27465,x27466,x27461),f412(x27463,x27464,x27465,x27466,x27462))
% 202.05/201.94 [2747]~E(x27471,x27472)+E(f123(x27471),f123(x27472))
% 202.05/201.94 [2748]~E(x27481,x27482)+E(f383(x27481,x27483,x27484),f383(x27482,x27483,x27484))
% 202.05/201.94 [2749]~E(x27491,x27492)+E(f383(x27493,x27491,x27494),f383(x27493,x27492,x27494))
% 202.05/201.94 [2750]~E(x27501,x27502)+E(f383(x27503,x27504,x27501),f383(x27503,x27504,x27502))
% 202.05/201.94 [2751]~E(x27511,x27512)+E(f598(x27511,x27513,x27514),f598(x27512,x27513,x27514))
% 202.05/201.94 [2752]~E(x27521,x27522)+E(f598(x27523,x27521,x27524),f598(x27523,x27522,x27524))
% 202.05/201.94 [2753]~E(x27531,x27532)+E(f598(x27533,x27534,x27531),f598(x27533,x27534,x27532))
% 202.05/201.94 [2754]~E(x27541,x27542)+E(f575(x27541,x27543,x27544),f575(x27542,x27543,x27544))
% 202.05/201.94 [2755]~E(x27551,x27552)+E(f575(x27553,x27551,x27554),f575(x27553,x27552,x27554))
% 202.05/201.94 [2756]~E(x27561,x27562)+E(f575(x27563,x27564,x27561),f575(x27563,x27564,x27562))
% 202.05/201.94 [2757]~E(x27571,x27572)+E(f750(x27571,x27573,x27574),f750(x27572,x27573,x27574))
% 202.05/201.94 [2758]~E(x27581,x27582)+E(f750(x27583,x27581,x27584),f750(x27583,x27582,x27584))
% 202.05/201.94 [2759]~E(x27591,x27592)+E(f750(x27593,x27594,x27591),f750(x27593,x27594,x27592))
% 202.05/201.94 [2760]~E(x27601,x27602)+E(f550(x27601,x27603,x27604,x27605),f550(x27602,x27603,x27604,x27605))
% 202.05/201.94 [2761]~E(x27611,x27612)+E(f550(x27613,x27611,x27614,x27615),f550(x27613,x27612,x27614,x27615))
% 202.05/201.94 [2762]~E(x27621,x27622)+E(f550(x27623,x27624,x27621,x27625),f550(x27623,x27624,x27622,x27625))
% 202.05/201.94 [2763]~E(x27631,x27632)+E(f550(x27633,x27634,x27635,x27631),f550(x27633,x27634,x27635,x27632))
% 202.05/201.94 [2764]~E(x27641,x27642)+E(f43(x27641),f43(x27642))
% 202.05/201.94 [2765]~E(x27651,x27652)+E(f292(x27651,x27653),f292(x27652,x27653))
% 202.05/201.94 [2766]~E(x27661,x27662)+E(f292(x27663,x27661),f292(x27663,x27662))
% 202.05/201.94 [2767]~E(x27671,x27672)+E(f448(x27671,x27673),f448(x27672,x27673))
% 202.05/201.94 [2768]~E(x27681,x27682)+E(f448(x27683,x27681),f448(x27683,x27682))
% 202.05/201.94 [2769]~E(x27691,x27692)+E(f542(x27691,x27693),f542(x27692,x27693))
% 202.05/201.94 [2770]~E(x27701,x27702)+E(f542(x27703,x27701),f542(x27703,x27702))
% 202.05/201.94 [2771]~E(x27711,x27712)+E(f739(x27711,x27713),f739(x27712,x27713))
% 202.05/201.94 [2772]~E(x27721,x27722)+E(f739(x27723,x27721),f739(x27723,x27722))
% 202.05/201.94 [2773]~E(x27731,x27732)+E(f605(x27731,x27733,x27734,x27735,x27736),f605(x27732,x27733,x27734,x27735,x27736))
% 202.05/201.94 [2774]~E(x27741,x27742)+E(f605(x27743,x27741,x27744,x27745,x27746),f605(x27743,x27742,x27744,x27745,x27746))
% 202.05/201.94 [2775]~E(x27751,x27752)+E(f605(x27753,x27754,x27751,x27755,x27756),f605(x27753,x27754,x27752,x27755,x27756))
% 202.05/201.94 [2776]~E(x27761,x27762)+E(f605(x27763,x27764,x27765,x27761,x27766),f605(x27763,x27764,x27765,x27762,x27766))
% 202.05/201.94 [2777]~E(x27771,x27772)+E(f605(x27773,x27774,x27775,x27776,x27771),f605(x27773,x27774,x27775,x27776,x27772))
% 202.05/201.94 [2778]~E(x27781,x27782)+E(f331(x27781),f331(x27782))
% 202.05/201.94 [2779]~E(x27791,x27792)+E(f224(x27791,x27793,x27794,x27795,x27796),f224(x27792,x27793,x27794,x27795,x27796))
% 202.05/201.94 [2780]~E(x27801,x27802)+E(f224(x27803,x27801,x27804,x27805,x27806),f224(x27803,x27802,x27804,x27805,x27806))
% 202.05/201.94 [2781]~E(x27811,x27812)+E(f224(x27813,x27814,x27811,x27815,x27816),f224(x27813,x27814,x27812,x27815,x27816))
% 202.05/201.94 [2782]~E(x27821,x27822)+E(f224(x27823,x27824,x27825,x27821,x27826),f224(x27823,x27824,x27825,x27822,x27826))
% 202.05/201.94 [2783]~E(x27831,x27832)+E(f224(x27833,x27834,x27835,x27836,x27831),f224(x27833,x27834,x27835,x27836,x27832))
% 202.05/201.94 [2784]~E(x27841,x27842)+E(f512(x27841,x27843,x27844,x27845),f512(x27842,x27843,x27844,x27845))
% 202.05/201.94 [2785]~E(x27851,x27852)+E(f512(x27853,x27851,x27854,x27855),f512(x27853,x27852,x27854,x27855))
% 202.05/201.94 [2786]~E(x27861,x27862)+E(f512(x27863,x27864,x27861,x27865),f512(x27863,x27864,x27862,x27865))
% 202.05/201.94 [2787]~E(x27871,x27872)+E(f512(x27873,x27874,x27875,x27871),f512(x27873,x27874,x27875,x27872))
% 202.05/201.94 [2788]~P1(x27881)+P1(x27882)+~E(x27881,x27882)
% 202.05/201.94 [2789]~P105(x27891)+P105(x27892)+~E(x27891,x27892)
% 202.05/201.94 [2790]P11(x27902,x27903,x27904,x27905,x27906,x27907)+~E(x27901,x27902)+~P11(x27901,x27903,x27904,x27905,x27906,x27907)
% 202.05/201.94 [2791]P11(x27913,x27912,x27914,x27915,x27916,x27917)+~E(x27911,x27912)+~P11(x27913,x27911,x27914,x27915,x27916,x27917)
% 202.05/201.94 [2792]P11(x27923,x27924,x27922,x27925,x27926,x27927)+~E(x27921,x27922)+~P11(x27923,x27924,x27921,x27925,x27926,x27927)
% 202.05/201.94 [2793]P11(x27933,x27934,x27935,x27932,x27936,x27937)+~E(x27931,x27932)+~P11(x27933,x27934,x27935,x27931,x27936,x27937)
% 202.05/201.94 [2794]P11(x27943,x27944,x27945,x27946,x27942,x27947)+~E(x27941,x27942)+~P11(x27943,x27944,x27945,x27946,x27941,x27947)
% 202.05/201.94 [2795]P11(x27953,x27954,x27955,x27956,x27957,x27952)+~E(x27951,x27952)+~P11(x27953,x27954,x27955,x27956,x27957,x27951)
% 202.05/201.94 [2796]~P106(x27961)+P106(x27962)+~E(x27961,x27962)
% 202.05/201.94 [2797]~P108(x27971)+P108(x27972)+~E(x27971,x27972)
% 202.05/201.94 [2798]P12(x27982,x27983)+~E(x27981,x27982)+~P12(x27981,x27983)
% 202.05/201.94 [2799]P12(x27993,x27992)+~E(x27991,x27992)+~P12(x27993,x27991)
% 202.05/201.94 [2800]~P101(x28001)+P101(x28002)+~E(x28001,x28002)
% 202.05/201.94 [2801]~P107(x28011)+P107(x28012)+~E(x28011,x28012)
% 202.05/201.94 [2802]~P94(x28021)+P94(x28022)+~E(x28021,x28022)
% 202.05/201.94 [2803]~P124(x28031)+P124(x28032)+~E(x28031,x28032)
% 202.05/201.94 [2804]~P118(x28041)+P118(x28042)+~E(x28041,x28042)
% 202.05/201.94 [2805]~P79(x28051)+P79(x28052)+~E(x28051,x28052)
% 202.05/201.94 [2806]~P112(x28061)+P112(x28062)+~E(x28061,x28062)
% 202.05/201.94 [2807]P146(x28072,x28073,x28074)+~E(x28071,x28072)+~P146(x28071,x28073,x28074)
% 202.05/201.94 [2808]P146(x28083,x28082,x28084)+~E(x28081,x28082)+~P146(x28083,x28081,x28084)
% 202.05/201.94 [2809]P146(x28093,x28094,x28092)+~E(x28091,x28092)+~P146(x28093,x28094,x28091)
% 202.05/201.94 [2810]~P109(x28101)+P109(x28102)+~E(x28101,x28102)
% 202.05/201.94 [2811]P36(x28112,x28113)+~E(x28111,x28112)+~P36(x28111,x28113)
% 202.05/201.94 [2812]P36(x28123,x28122)+~E(x28121,x28122)+~P36(x28123,x28121)
% 202.05/201.94 [2813]P57(x28132,x28133,x28134,x28135)+~E(x28131,x28132)+~P57(x28131,x28133,x28134,x28135)
% 202.05/201.94 [2814]P57(x28143,x28142,x28144,x28145)+~E(x28141,x28142)+~P57(x28143,x28141,x28144,x28145)
% 202.05/201.94 [2815]P57(x28153,x28154,x28152,x28155)+~E(x28151,x28152)+~P57(x28153,x28154,x28151,x28155)
% 202.05/201.94 [2816]P57(x28163,x28164,x28165,x28162)+~E(x28161,x28162)+~P57(x28163,x28164,x28165,x28161)
% 202.05/201.94 [2817]P56(x28172,x28173)+~E(x28171,x28172)+~P56(x28171,x28173)
% 202.05/201.94 [2818]P56(x28183,x28182)+~E(x28181,x28182)+~P56(x28183,x28181)
% 202.05/201.94 [2819]~P2(x28191)+P2(x28192)+~E(x28191,x28192)
% 202.05/201.94 [2820]~P61(x28201)+P61(x28202)+~E(x28201,x28202)
% 202.05/201.94 [2821]~P64(x28211)+P64(x28212)+~E(x28211,x28212)
% 202.05/201.94 [2822]~P4(x28221)+P4(x28222)+~E(x28221,x28222)
% 202.05/201.94 [2823]~P77(x28231)+P77(x28232)+~E(x28231,x28232)
% 202.05/201.94 [2824]P18(x28242,x28243,x28244,x28245)+~E(x28241,x28242)+~P18(x28241,x28243,x28244,x28245)
% 202.05/201.94 [2825]P18(x28253,x28252,x28254,x28255)+~E(x28251,x28252)+~P18(x28253,x28251,x28254,x28255)
% 202.05/201.94 [2826]P18(x28263,x28264,x28262,x28265)+~E(x28261,x28262)+~P18(x28263,x28264,x28261,x28265)
% 202.05/201.94 [2827]P18(x28273,x28274,x28275,x28272)+~E(x28271,x28272)+~P18(x28273,x28274,x28275,x28271)
% 202.05/201.94 [2828]P42(x28282,x28283)+~E(x28281,x28282)+~P42(x28281,x28283)
% 202.05/201.94 [2829]P42(x28293,x28292)+~E(x28291,x28292)+~P42(x28293,x28291)
% 202.05/201.94 [2830]~P78(x28301)+P78(x28302)+~E(x28301,x28302)
% 202.05/201.94 [2831]~P100(x28311)+P100(x28312)+~E(x28311,x28312)
% 202.05/201.94 [2832]~P39(x28321)+P39(x28322)+~E(x28321,x28322)
% 202.05/201.94 [2833]~P75(x28331)+P75(x28332)+~E(x28331,x28332)
% 202.05/201.94 [2834]P145(x28342,x28343,x28344)+~E(x28341,x28342)+~P145(x28341,x28343,x28344)
% 202.05/201.94 [2835]P145(x28353,x28352,x28354)+~E(x28351,x28352)+~P145(x28353,x28351,x28354)
% 202.05/201.94 [2836]P145(x28363,x28364,x28362)+~E(x28361,x28362)+~P145(x28363,x28364,x28361)
% 202.05/201.94 [2837]~P3(x28371)+P3(x28372)+~E(x28371,x28372)
% 202.05/201.94 [2838]~P131(x28381)+P131(x28382)+~E(x28381,x28382)
% 202.05/201.94 [2839]~P66(x28391)+P66(x28392)+~E(x28391,x28392)
% 202.05/201.94 [2840]~P110(x28401)+P110(x28402)+~E(x28401,x28402)
% 202.05/201.94 [2841]~P67(x28411)+P67(x28412)+~E(x28411,x28412)
% 202.05/201.94 [2842]P13(x28422,x28423,x28424)+~E(x28421,x28422)+~P13(x28421,x28423,x28424)
% 202.05/201.94 [2843]P13(x28433,x28432,x28434)+~E(x28431,x28432)+~P13(x28433,x28431,x28434)
% 202.05/201.94 [2844]P13(x28443,x28444,x28442)+~E(x28441,x28442)+~P13(x28443,x28444,x28441)
% 202.05/201.94 [2845]P15(x28452,x28453,x28454)+~E(x28451,x28452)+~P15(x28451,x28453,x28454)
% 202.05/201.94 [2846]P15(x28463,x28462,x28464)+~E(x28461,x28462)+~P15(x28463,x28461,x28464)
% 202.05/201.94 [2847]P15(x28473,x28474,x28472)+~E(x28471,x28472)+~P15(x28473,x28474,x28471)
% 202.05/201.94 [2848]~P59(x28481)+P59(x28482)+~E(x28481,x28482)
% 202.05/201.94 [2849]P30(x28492,x28493,x28494)+~E(x28491,x28492)+~P30(x28491,x28493,x28494)
% 202.05/201.94 [2850]P30(x28503,x28502,x28504)+~E(x28501,x28502)+~P30(x28503,x28501,x28504)
% 202.05/201.94 [2851]P30(x28513,x28514,x28512)+~E(x28511,x28512)+~P30(x28513,x28514,x28511)
% 202.05/201.94 [2852]P37(x28522,x28523)+~E(x28521,x28522)+~P37(x28521,x28523)
% 202.05/201.94 [2853]P37(x28533,x28532)+~E(x28531,x28532)+~P37(x28533,x28531)
% 202.05/201.94 [2854]~P98(x28541)+P98(x28542)+~E(x28541,x28542)
% 202.05/201.94 [2855]~P95(x28551)+P95(x28552)+~E(x28551,x28552)
% 202.05/201.94 [2856]P24(x28562,x28563,x28564,x28565)+~E(x28561,x28562)+~P24(x28561,x28563,x28564,x28565)
% 202.05/201.94 [2857]P24(x28573,x28572,x28574,x28575)+~E(x28571,x28572)+~P24(x28573,x28571,x28574,x28575)
% 202.05/201.94 [2858]P24(x28583,x28584,x28582,x28585)+~E(x28581,x28582)+~P24(x28583,x28584,x28581,x28585)
% 202.05/201.94 [2859]P24(x28593,x28594,x28595,x28592)+~E(x28591,x28592)+~P24(x28593,x28594,x28595,x28591)
% 202.05/201.94 [2860]~P69(x28601)+P69(x28602)+~E(x28601,x28602)
% 202.05/201.94 [2861]~P93(x28611)+P93(x28612)+~E(x28611,x28612)
% 202.05/201.94 [2862]~P65(x28621)+P65(x28622)+~E(x28621,x28622)
% 202.05/201.94 [2863]~P83(x28631)+P83(x28632)+~E(x28631,x28632)
% 202.05/201.94 [2864]~P86(x28641)+P86(x28642)+~E(x28641,x28642)
% 202.05/201.94 [2865]P51(x28652,x28653,x28654)+~E(x28651,x28652)+~P51(x28651,x28653,x28654)
% 202.05/201.94 [2866]P51(x28663,x28662,x28664)+~E(x28661,x28662)+~P51(x28663,x28661,x28664)
% 202.05/201.94 [2867]P51(x28673,x28674,x28672)+~E(x28671,x28672)+~P51(x28673,x28674,x28671)
% 202.05/201.94 [2868]~P70(x28681)+P70(x28682)+~E(x28681,x28682)
% 202.05/201.94 [2869]~P74(x28691)+P74(x28692)+~E(x28691,x28692)
% 202.05/201.94 [2870]P27(x28702,x28703)+~E(x28701,x28702)+~P27(x28701,x28703)
% 202.05/201.94 [2871]P27(x28713,x28712)+~E(x28711,x28712)+~P27(x28713,x28711)
% 202.05/201.94 [2872]~P71(x28721)+P71(x28722)+~E(x28721,x28722)
% 202.05/201.94 [2873]P34(x28732,x28733,x28734)+~E(x28731,x28732)+~P34(x28731,x28733,x28734)
% 202.05/201.94 [2874]P34(x28743,x28742,x28744)+~E(x28741,x28742)+~P34(x28743,x28741,x28744)
% 202.05/201.94 [2875]P34(x28753,x28754,x28752)+~E(x28751,x28752)+~P34(x28753,x28754,x28751)
% 202.05/201.94 [2876]P23(x28762,x28763,x28764)+~E(x28761,x28762)+~P23(x28761,x28763,x28764)
% 202.05/201.94 [2877]P23(x28773,x28772,x28774)+~E(x28771,x28772)+~P23(x28773,x28771,x28774)
% 202.05/201.94 [2878]P23(x28783,x28784,x28782)+~E(x28781,x28782)+~P23(x28783,x28784,x28781)
% 202.05/201.94 [2879]~P68(x28791)+P68(x28792)+~E(x28791,x28792)
% 202.05/201.94 [2880]P43(x28802,x28803)+~E(x28801,x28802)+~P43(x28801,x28803)
% 202.05/201.94 [2881]P43(x28813,x28812)+~E(x28811,x28812)+~P43(x28813,x28811)
% 202.05/201.94 [2882]P33(x28822,x28823,x28824,x28825,x28826)+~E(x28821,x28822)+~P33(x28821,x28823,x28824,x28825,x28826)
% 202.05/201.94 [2883]P33(x28833,x28832,x28834,x28835,x28836)+~E(x28831,x28832)+~P33(x28833,x28831,x28834,x28835,x28836)
% 202.05/201.94 [2884]P33(x28843,x28844,x28842,x28845,x28846)+~E(x28841,x28842)+~P33(x28843,x28844,x28841,x28845,x28846)
% 202.05/201.94 [2885]P33(x28853,x28854,x28855,x28852,x28856)+~E(x28851,x28852)+~P33(x28853,x28854,x28855,x28851,x28856)
% 202.05/201.94 [2886]P33(x28863,x28864,x28865,x28866,x28862)+~E(x28861,x28862)+~P33(x28863,x28864,x28865,x28866,x28861)
% 202.05/201.94 [2887]~P84(x28871)+P84(x28872)+~E(x28871,x28872)
% 202.05/201.94 [2888]~P62(x28881)+P62(x28882)+~E(x28881,x28882)
% 202.05/201.94 [2889]P53(x28892,x28893,x28894)+~E(x28891,x28892)+~P53(x28891,x28893,x28894)
% 202.05/201.94 [2890]P53(x28903,x28902,x28904)+~E(x28901,x28902)+~P53(x28903,x28901,x28904)
% 202.05/201.94 [2891]P53(x28913,x28914,x28912)+~E(x28911,x28912)+~P53(x28913,x28914,x28911)
% 202.05/201.94 [2892]~P85(x28921)+P85(x28922)+~E(x28921,x28922)
% 202.05/201.94 [2893]P58(x28932,x28933)+~E(x28931,x28932)+~P58(x28931,x28933)
% 202.05/201.94 [2894]P58(x28943,x28942)+~E(x28941,x28942)+~P58(x28943,x28941)
% 202.05/201.94 [2895]P32(x28952,x28953,x28954)+~E(x28951,x28952)+~P32(x28951,x28953,x28954)
% 202.05/201.94 [2896]P32(x28963,x28962,x28964)+~E(x28961,x28962)+~P32(x28963,x28961,x28964)
% 202.05/201.94 [2897]P32(x28973,x28974,x28972)+~E(x28971,x28972)+~P32(x28973,x28974,x28971)
% 202.05/201.94 [2898]~P73(x28981)+P73(x28982)+~E(x28981,x28982)
% 202.05/201.94 [2899]~P111(x28991)+P111(x28992)+~E(x28991,x28992)
% 202.05/201.94 [2900]~P63(x29001)+P63(x29002)+~E(x29001,x29002)
% 202.05/201.94 [2901]~P143(x29011)+P143(x29012)+~E(x29011,x29012)
% 202.05/201.94 [2902]P29(x29022,x29023,x29024)+~E(x29021,x29022)+~P29(x29021,x29023,x29024)
% 202.05/201.94 [2903]P29(x29033,x29032,x29034)+~E(x29031,x29032)+~P29(x29033,x29031,x29034)
% 202.05/201.94 [2904]P29(x29043,x29044,x29042)+~E(x29041,x29042)+~P29(x29043,x29044,x29041)
% 202.05/201.94 [2905]~P137(x29051)+P137(x29052)+~E(x29051,x29052)
% 202.05/201.94 [2906]P38(x29062,x29063)+~E(x29061,x29062)+~P38(x29061,x29063)
% 202.05/201.94 [2907]P38(x29073,x29072)+~E(x29071,x29072)+~P38(x29073,x29071)
% 202.05/201.94 [2908]~P119(x29081)+P119(x29082)+~E(x29081,x29082)
% 202.05/201.94 [2909]~P138(x29091)+P138(x29092)+~E(x29091,x29092)
% 202.05/201.94 [2910]P25(x29102,x29103,x29104,x29105,x29106)+~E(x29101,x29102)+~P25(x29101,x29103,x29104,x29105,x29106)
% 202.05/201.94 [2911]P25(x29113,x29112,x29114,x29115,x29116)+~E(x29111,x29112)+~P25(x29113,x29111,x29114,x29115,x29116)
% 202.05/201.94 [2912]P25(x29123,x29124,x29122,x29125,x29126)+~E(x29121,x29122)+~P25(x29123,x29124,x29121,x29125,x29126)
% 202.05/201.94 [2913]P25(x29133,x29134,x29135,x29132,x29136)+~E(x29131,x29132)+~P25(x29133,x29134,x29135,x29131,x29136)
% 202.05/201.94 [2914]P25(x29143,x29144,x29145,x29146,x29142)+~E(x29141,x29142)+~P25(x29143,x29144,x29145,x29146,x29141)
% 202.05/201.94 [2915]P7(x29152,x29153,x29154)+~E(x29151,x29152)+~P7(x29151,x29153,x29154)
% 202.05/201.94 [2916]P7(x29163,x29162,x29164)+~E(x29161,x29162)+~P7(x29163,x29161,x29164)
% 202.05/201.94 [2917]P7(x29173,x29174,x29172)+~E(x29171,x29172)+~P7(x29173,x29174,x29171)
% 202.05/201.94 [2918]~P113(x29181)+P113(x29182)+~E(x29181,x29182)
% 202.05/201.94 [2919]~P136(x29191)+P136(x29192)+~E(x29191,x29192)
% 202.05/201.94 [2920]~P140(x29201)+P140(x29202)+~E(x29201,x29202)
% 202.05/201.94 [2921]~P5(x29211)+P5(x29212)+~E(x29211,x29212)
% 202.05/201.94 [2922]~P60(x29221)+P60(x29222)+~E(x29221,x29222)
% 202.05/201.94 [2923]~P82(x29231)+P82(x29232)+~E(x29231,x29232)
% 202.05/201.94 [2924]~P125(x29241)+P125(x29242)+~E(x29241,x29242)
% 202.05/201.94 [2925]~P80(x29251)+P80(x29252)+~E(x29251,x29252)
% 202.05/201.94 [2926]~P88(x29261)+P88(x29262)+~E(x29261,x29262)
% 202.05/201.94 [2927]~P141(x29271)+P141(x29272)+~E(x29271,x29272)
% 202.05/201.94 [2928]~P81(x29281)+P81(x29282)+~E(x29281,x29282)
% 202.05/201.94 [2929]~P103(x29291)+P103(x29292)+~E(x29291,x29292)
% 202.05/201.94 [2930]~P72(x29301)+P72(x29302)+~E(x29301,x29302)
% 202.05/201.94 [2931]P41(x29312,x29313,x29314,x29315,x29316,x29317)+~E(x29311,x29312)+~P41(x29311,x29313,x29314,x29315,x29316,x29317)
% 202.05/201.94 [2932]P41(x29323,x29322,x29324,x29325,x29326,x29327)+~E(x29321,x29322)+~P41(x29323,x29321,x29324,x29325,x29326,x29327)
% 202.05/201.94 [2933]P41(x29333,x29334,x29332,x29335,x29336,x29337)+~E(x29331,x29332)+~P41(x29333,x29334,x29331,x29335,x29336,x29337)
% 202.05/201.94 [2934]P41(x29343,x29344,x29345,x29342,x29346,x29347)+~E(x29341,x29342)+~P41(x29343,x29344,x29345,x29341,x29346,x29347)
% 202.05/201.94 [2935]P41(x29353,x29354,x29355,x29356,x29352,x29357)+~E(x29351,x29352)+~P41(x29353,x29354,x29355,x29356,x29351,x29357)
% 202.05/201.94 [2936]P41(x29363,x29364,x29365,x29366,x29367,x29362)+~E(x29361,x29362)+~P41(x29363,x29364,x29365,x29366,x29367,x29361)
% 202.05/201.94 [2937]~P121(x29371)+P121(x29372)+~E(x29371,x29372)
% 202.05/201.94 [2938]~P135(x29381)+P135(x29382)+~E(x29381,x29382)
% 202.05/201.94 [2939]~P127(x29391)+P127(x29392)+~E(x29391,x29392)
% 202.05/201.94 [2940]~P87(x29401)+P87(x29402)+~E(x29401,x29402)
% 202.05/201.94 [2941]~P92(x29411)+P92(x29412)+~E(x29411,x29412)
% 202.05/201.94 [2942]P14(x29422,x29423)+~E(x29421,x29422)+~P14(x29421,x29423)
% 202.05/201.94 [2943]P14(x29433,x29432)+~E(x29431,x29432)+~P14(x29433,x29431)
% 202.05/201.94 [2944]P6(x29442,x29443)+~E(x29441,x29442)+~P6(x29441,x29443)
% 202.05/201.94 [2945]P6(x29453,x29452)+~E(x29451,x29452)+~P6(x29453,x29451)
% 202.05/201.94 [2946]P26(x29462,x29463)+~E(x29461,x29462)+~P26(x29461,x29463)
% 202.05/201.94 [2947]P26(x29473,x29472)+~E(x29471,x29472)+~P26(x29473,x29471)
% 202.05/201.94 [2948]P47(x29482,x29483,x29484)+~E(x29481,x29482)+~P47(x29481,x29483,x29484)
% 202.05/201.94 [2949]P47(x29493,x29492,x29494)+~E(x29491,x29492)+~P47(x29493,x29491,x29494)
% 202.05/201.94 [2950]P47(x29503,x29504,x29502)+~E(x29501,x29502)+~P47(x29503,x29504,x29501)
% 202.05/201.94 [2951]~P129(x29511)+P129(x29512)+~E(x29511,x29512)
% 202.05/201.94 [2952]~P130(x29521)+P130(x29522)+~E(x29521,x29522)
% 202.05/201.94 [2953]P50(x29532,x29533)+~E(x29531,x29532)+~P50(x29531,x29533)
% 202.05/201.94 [2954]P50(x29543,x29542)+~E(x29541,x29542)+~P50(x29543,x29541)
% 202.05/201.94 [2955]~P142(x29551)+P142(x29552)+~E(x29551,x29552)
% 202.05/201.94 [2956]~P139(x29561)+P139(x29562)+~E(x29561,x29562)
% 202.05/201.94 [2957]~P132(x29571)+P132(x29572)+~E(x29571,x29572)
% 202.05/201.94 [2958]P19(x29582,x29583,x29584,x29585)+~E(x29581,x29582)+~P19(x29581,x29583,x29584,x29585)
% 202.05/201.94 [2959]P19(x29593,x29592,x29594,x29595)+~E(x29591,x29592)+~P19(x29593,x29591,x29594,x29595)
% 202.05/201.94 [2960]P19(x29603,x29604,x29602,x29605)+~E(x29601,x29602)+~P19(x29603,x29604,x29601,x29605)
% 202.05/201.94 [2961]P19(x29613,x29614,x29615,x29612)+~E(x29611,x29612)+~P19(x29613,x29614,x29615,x29611)
% 202.05/201.94 [2962]P21(x29622,x29623,x29624,x29625,x29626,x29627)+~E(x29621,x29622)+~P21(x29621,x29623,x29624,x29625,x29626,x29627)
% 202.05/201.94 [2963]P21(x29633,x29632,x29634,x29635,x29636,x29637)+~E(x29631,x29632)+~P21(x29633,x29631,x29634,x29635,x29636,x29637)
% 202.05/201.94 [2964]P21(x29643,x29644,x29642,x29645,x29646,x29647)+~E(x29641,x29642)+~P21(x29643,x29644,x29641,x29645,x29646,x29647)
% 202.05/201.94 [2965]P21(x29653,x29654,x29655,x29652,x29656,x29657)+~E(x29651,x29652)+~P21(x29653,x29654,x29655,x29651,x29656,x29657)
% 202.05/201.94 [2966]P21(x29663,x29664,x29665,x29666,x29662,x29667)+~E(x29661,x29662)+~P21(x29663,x29664,x29665,x29666,x29661,x29667)
% 202.05/201.94 [2967]P21(x29673,x29674,x29675,x29676,x29677,x29672)+~E(x29671,x29672)+~P21(x29673,x29674,x29675,x29676,x29677,x29671)
% 202.05/201.94 [2968]P55(x29682,x29683,x29684,x29685,x29686)+~E(x29681,x29682)+~P55(x29681,x29683,x29684,x29685,x29686)
% 202.05/201.94 [2969]P55(x29693,x29692,x29694,x29695,x29696)+~E(x29691,x29692)+~P55(x29693,x29691,x29694,x29695,x29696)
% 202.05/201.94 [2970]P55(x29703,x29704,x29702,x29705,x29706)+~E(x29701,x29702)+~P55(x29703,x29704,x29701,x29705,x29706)
% 202.05/201.94 [2971]P55(x29713,x29714,x29715,x29712,x29716)+~E(x29711,x29712)+~P55(x29713,x29714,x29715,x29711,x29716)
% 202.05/201.94 [2972]P55(x29723,x29724,x29725,x29726,x29722)+~E(x29721,x29722)+~P55(x29723,x29724,x29725,x29726,x29721)
% 202.05/201.94 [2973]P28(x29732,x29733,x29734)+~E(x29731,x29732)+~P28(x29731,x29733,x29734)
% 202.05/201.94 [2974]P28(x29743,x29742,x29744)+~E(x29741,x29742)+~P28(x29743,x29741,x29744)
% 202.05/201.94 [2975]P28(x29753,x29754,x29752)+~E(x29751,x29752)+~P28(x29753,x29754,x29751)
% 202.05/201.94 [2976]P16(x29762,x29763,x29764)+~E(x29761,x29762)+~P16(x29761,x29763,x29764)
% 202.05/201.94 [2977]P16(x29773,x29772,x29774)+~E(x29771,x29772)+~P16(x29773,x29771,x29774)
% 202.05/201.94 [2978]P16(x29783,x29784,x29782)+~E(x29781,x29782)+~P16(x29783,x29784,x29781)
% 202.05/201.94 [2979]P22(x29792,x29793,x29794,x29795,x29796,x29797)+~E(x29791,x29792)+~P22(x29791,x29793,x29794,x29795,x29796,x29797)
% 202.05/201.94 [2980]P22(x29803,x29802,x29804,x29805,x29806,x29807)+~E(x29801,x29802)+~P22(x29803,x29801,x29804,x29805,x29806,x29807)
% 202.05/201.94 [2981]P22(x29813,x29814,x29812,x29815,x29816,x29817)+~E(x29811,x29812)+~P22(x29813,x29814,x29811,x29815,x29816,x29817)
% 202.05/201.94 [2982]P22(x29823,x29824,x29825,x29822,x29826,x29827)+~E(x29821,x29822)+~P22(x29823,x29824,x29825,x29821,x29826,x29827)
% 202.05/201.94 [2983]P22(x29833,x29834,x29835,x29836,x29832,x29837)+~E(x29831,x29832)+~P22(x29833,x29834,x29835,x29836,x29831,x29837)
% 202.05/201.94 [2984]P22(x29843,x29844,x29845,x29846,x29847,x29842)+~E(x29841,x29842)+~P22(x29843,x29844,x29845,x29846,x29847,x29841)
% 202.05/201.94 [2985]~P120(x29851)+P120(x29852)+~E(x29851,x29852)
% 202.05/201.94 [2986]~P96(x29861)+P96(x29862)+~E(x29861,x29862)
% 202.05/201.94 [2987]~P133(x29871)+P133(x29872)+~E(x29871,x29872)
% 202.05/201.94 [2988]P147(x29882,x29883)+~E(x29881,x29882)+~P147(x29881,x29883)
% 202.05/201.94 [2989]P147(x29893,x29892)+~E(x29891,x29892)+~P147(x29893,x29891)
% 202.05/201.94 [2990]P17(x29902,x29903,x29904)+~E(x29901,x29902)+~P17(x29901,x29903,x29904)
% 202.05/201.94 [2991]P17(x29913,x29912,x29914)+~E(x29911,x29912)+~P17(x29913,x29911,x29914)
% 202.05/201.94 [2992]P17(x29923,x29924,x29922)+~E(x29921,x29922)+~P17(x29923,x29924,x29921)
% 202.05/201.94 [2993]P54(x29932,x29933,x29934)+~E(x29931,x29932)+~P54(x29931,x29933,x29934)
% 202.05/201.94 [2994]P54(x29943,x29942,x29944)+~E(x29941,x29942)+~P54(x29943,x29941,x29944)
% 202.05/201.94 [2995]P54(x29953,x29954,x29952)+~E(x29951,x29952)+~P54(x29953,x29954,x29951)
% 202.05/201.94 [2996]P46(x29962,x29963,x29964)+~E(x29961,x29962)+~P46(x29961,x29963,x29964)
% 202.05/201.94 [2997]P46(x29973,x29972,x29974)+~E(x29971,x29972)+~P46(x29973,x29971,x29974)
% 202.05/201.94 [2998]P46(x29983,x29984,x29982)+~E(x29981,x29982)+~P46(x29983,x29984,x29981)
% 202.05/201.94 [2999]~P115(x29991)+P115(x29992)+~E(x29991,x29992)
% 202.05/201.94 [3000]~P134(x30001)+P134(x30002)+~E(x30001,x30002)
% 202.05/201.94 [3001]~P117(x30011)+P117(x30012)+~E(x30011,x30012)
% 202.05/201.94 [3002]P40(x30022,x30023,x30024,x30025)+~E(x30021,x30022)+~P40(x30021,x30023,x30024,x30025)
% 202.05/201.94 [3003]P40(x30033,x30032,x30034,x30035)+~E(x30031,x30032)+~P40(x30033,x30031,x30034,x30035)
% 202.05/201.94 [3004]P40(x30043,x30044,x30042,x30045)+~E(x30041,x30042)+~P40(x30043,x30044,x30041,x30045)
% 202.05/201.94 [3005]P40(x30053,x30054,x30055,x30052)+~E(x30051,x30052)+~P40(x30053,x30054,x30055,x30051)
% 202.05/201.94 [3006]~P126(x30061)+P126(x30062)+~E(x30061,x30062)
% 202.05/201.94 [3007]~P116(x30071)+P116(x30072)+~E(x30071,x30072)
% 202.05/201.94 [3008]~P89(x30081)+P89(x30082)+~E(x30081,x30082)
% 202.05/201.94 [3009]P9(x30092,x30093,x30094,x30095,x30096)+~E(x30091,x30092)+~P9(x30091,x30093,x30094,x30095,x30096)
% 202.05/201.94 [3010]P9(x30103,x30102,x30104,x30105,x30106)+~E(x30101,x30102)+~P9(x30103,x30101,x30104,x30105,x30106)
% 202.05/201.94 [3011]P9(x30113,x30114,x30112,x30115,x30116)+~E(x30111,x30112)+~P9(x30113,x30114,x30111,x30115,x30116)
% 202.05/201.94 [3012]P9(x30123,x30124,x30125,x30122,x30126)+~E(x30121,x30122)+~P9(x30123,x30124,x30125,x30121,x30126)
% 202.05/201.94 [3013]P9(x30133,x30134,x30135,x30136,x30132)+~E(x30131,x30132)+~P9(x30133,x30134,x30135,x30136,x30131)
% 202.05/201.94 [3014]P49(x30142,x30143)+~E(x30141,x30142)+~P49(x30141,x30143)
% 202.05/201.94 [3015]P49(x30153,x30152)+~E(x30151,x30152)+~P49(x30153,x30151)
% 202.05/201.94 [3016]P48(x30162,x30163)+~E(x30161,x30162)+~P48(x30161,x30163)
% 202.05/201.94 [3017]P48(x30173,x30172)+~E(x30171,x30172)+~P48(x30173,x30171)
% 202.05/201.94 [3018]~P122(x30181)+P122(x30182)+~E(x30181,x30182)
% 202.05/201.94 [3019]~P144(x30191)+P144(x30192)+~E(x30191,x30192)
% 202.05/201.94 [3020]~P128(x30201)+P128(x30202)+~E(x30201,x30202)
% 202.05/201.94 [3021]~P99(x30211)+P99(x30212)+~E(x30211,x30212)
% 202.05/201.94 [3022]P10(x30222,x30223,x30224,x30225)+~E(x30221,x30222)+~P10(x30221,x30223,x30224,x30225)
% 202.05/201.94 [3023]P10(x30233,x30232,x30234,x30235)+~E(x30231,x30232)+~P10(x30233,x30231,x30234,x30235)
% 202.05/201.94 [3024]P10(x30243,x30244,x30242,x30245)+~E(x30241,x30242)+~P10(x30243,x30244,x30241,x30245)
% 202.05/201.94 [3025]P10(x30253,x30254,x30255,x30252)+~E(x30251,x30252)+~P10(x30253,x30254,x30255,x30251)
% 202.05/201.94 [3026]~P90(x30261)+P90(x30262)+~E(x30261,x30262)
% 202.05/201.94 [3027]P31(x30272,x30273,x30274,x30275)+~E(x30271,x30272)+~P31(x30271,x30273,x30274,x30275)
% 202.05/201.94 [3028]P31(x30283,x30282,x30284,x30285)+~E(x30281,x30282)+~P31(x30283,x30281,x30284,x30285)
% 202.05/201.94 [3029]P31(x30293,x30294,x30292,x30295)+~E(x30291,x30292)+~P31(x30293,x30294,x30291,x30295)
% 202.05/201.94 [3030]P31(x30303,x30304,x30305,x30302)+~E(x30301,x30302)+~P31(x30303,x30304,x30305,x30301)
% 202.05/201.94 [3031]P52(x30312,x30313)+~E(x30311,x30312)+~P52(x30311,x30313)
% 202.05/201.94 [3032]P52(x30323,x30322)+~E(x30321,x30322)+~P52(x30323,x30321)
% 202.05/201.94 [3033]~P35(x30331)+P35(x30332)+~E(x30331,x30332)
% 202.05/201.94 [3034]P148(x30342,x30343)+~E(x30341,x30342)+~P148(x30341,x30343)
% 202.05/201.94 [3035]P148(x30353,x30352)+~E(x30351,x30352)+~P148(x30353,x30351)
% 202.05/201.94 [3036]P20(x30362,x30363,x30364,x30365,x30366)+~E(x30361,x30362)+~P20(x30361,x30363,x30364,x30365,x30366)
% 202.05/201.94 [3037]P20(x30373,x30372,x30374,x30375,x30376)+~E(x30371,x30372)+~P20(x30373,x30371,x30374,x30375,x30376)
% 202.05/201.94 [3038]P20(x30383,x30384,x30382,x30385,x30386)+~E(x30381,x30382)+~P20(x30383,x30384,x30381,x30385,x30386)
% 202.05/201.94 [3039]P20(x30393,x30394,x30395,x30392,x30396)+~E(x30391,x30392)+~P20(x30393,x30394,x30395,x30391,x30396)
% 202.05/201.94 [3040]P20(x30403,x30404,x30405,x30406,x30402)+~E(x30401,x30402)+~P20(x30403,x30404,x30405,x30406,x30401)
% 202.05/201.94 [3041]~P102(x30411)+P102(x30412)+~E(x30411,x30412)
% 202.05/201.94 [3042]~P76(x30421)+P76(x30422)+~E(x30421,x30422)
% 202.05/201.94 [3043]~P114(x30431)+P114(x30432)+~E(x30431,x30432)
% 202.05/201.94 [3044]~P104(x30441)+P104(x30442)+~E(x30441,x30442)
% 202.05/201.94 [3045]~P91(x30451)+P91(x30452)+~E(x30451,x30452)
% 202.05/201.94 [3046]~P44(x30461)+P44(x30462)+~E(x30461,x30462)
% 202.05/201.94 [3047]~P97(x30471)+P97(x30472)+~E(x30471,x30472)
% 202.05/201.94 [3048]~P123(x30481)+P123(x30482)+~E(x30481,x30482)
% 202.05/201.94 [3049]P8(x30492,x30493,x30494)+~E(x30491,x30492)+~P8(x30491,x30493,x30494)
% 202.05/201.94 [3050]P8(x30503,x30502,x30504)+~E(x30501,x30502)+~P8(x30503,x30501,x30504)
% 202.05/201.94 [3051]P8(x30513,x30514,x30512)+~E(x30511,x30512)+~P8(x30513,x30514,x30511)
% 202.05/201.94 [3052]P45(x30522,x30523)+~E(x30521,x30522)+~P45(x30521,x30523)
% 202.05/201.94 [3053]P45(x30533,x30532)+~E(x30531,x30532)+~P45(x30533,x30531)
% 202.05/201.94
% 202.05/201.94 %-------------------------------------------
% 202.11/202.00 cnf(10390,plain,
% 202.11/202.00 (~E(f844(a112,x103901),x103901)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10400,plain,
% 202.11/202.00 (~E(f844(a112,x104001),x104001)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10413,plain,
% 202.11/202.00 (~E(f844(a112,x104131),x104131)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10418,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x104181),f113(x104181)),x104182))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10421,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x104211),f113(x104211)),x104212))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10424,plain,
% 202.11/202.00 (~E(f844(a112,x104241),x104241)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10427,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x104271),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(10430,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x104301),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(10447,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x104471)),x104471))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(10450,plain,
% 202.11/202.00 (~E(f844(f844(f151(x104501),x104502),x104503),x104503)),
% 202.11/202.00 inference(rename_variables,[],[4624])).
% 202.11/202.00 cnf(10456,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x104561),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(10458,plain,
% 202.11/202.00 (E(f44(a908,f844(f283(x104581,x104581),f262(x104581,f844(f844(f80(a908),x104582),x104583))),x104582),f2(a908))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,3243,3410,3286,3347,3282,3309,3293,4624,4269,3433,4660,10427,10430,4657,4619,4665,10418,4666,4663,3426,4649,4682,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192])).
% 202.11/202.00 cnf(10459,plain,
% 202.11/202.00 (E(f844(f283(x104591,x104591),f262(x104591,x104592)),x104592)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(10462,plain,
% 202.11/202.00 (E(f844(f283(x104621,x104621),f262(x104621,x104622)),x104622)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(10467,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x104671),x104671))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(10472,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x104721),x104722)),x104722))),
% 202.11/202.00 inference(rename_variables,[],[4680])).
% 202.11/202.00 cnf(10475,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x104751),x104752)),x104752))),
% 202.11/202.00 inference(rename_variables,[],[4680])).
% 202.11/202.00 cnf(10482,plain,
% 202.11/202.00 (~E(x104821,f844(a112,x104821))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,3243,3410,10459,3286,3347,3282,3309,3293,4624,4269,3517,3433,4660,10427,10430,4657,4619,4665,10418,4656,4666,4268,4663,3426,4649,4682,4680,10472,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301])).
% 202.11/202.00 cnf(10496,plain,
% 202.11/202.00 (~E(f844(a112,x104961),x104961)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10499,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x104991),x104991))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(10502,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f44(a908,x105021,x105022)),x105021))),
% 202.11/202.00 inference(rename_variables,[],[3904])).
% 202.11/202.00 cnf(10523,plain,
% 202.11/202.00 (E(f844(f34(a908),f844(f281(a908),x105231)),x105231)),
% 202.11/202.00 inference(rename_variables,[],[3344])).
% 202.11/202.00 cnf(10531,plain,
% 202.11/202.00 (~E(f844(a112,x105311),x105311)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10534,plain,
% 202.11/202.00 (~E(f844(a112,x105341),x105341)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10537,plain,
% 202.11/202.00 (~E(f844(a112,x105371),x105371)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10542,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x105421),f844(a112,x105421)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(10551,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x105511),x105511))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(10558,plain,
% 202.11/202.00 (E(f844(f283(x105581,x105581),f262(x105581,x105582)),x105582)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(10561,plain,
% 202.11/202.00 (E(f844(f283(x105611,x105611),f262(x105611,x105612)),x105612)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(10578,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x105781),x105781))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(10583,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x105831),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(10586,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x105861,a904)),x105862),f241(f916(x105861,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(10591,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x105911),f113(x105911)),x105912))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10620,plain,
% 202.11/202.00 (~E(f844(f844(f151(x106201),x106202),x106203),x106203)),
% 202.11/202.00 inference(rename_variables,[],[4624])).
% 202.11/202.00 cnf(10623,plain,
% 202.11/202.00 (~E(f844(a112,x106231),f2(a908))),
% 202.11/202.00 inference(rename_variables,[],[4615])).
% 202.11/202.00 cnf(10634,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x106341),x106341))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(10639,plain,
% 202.11/202.00 (~E(f844(a112,x106391),x106391)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10642,plain,
% 202.11/202.00 (~P105(f844(f844(f188(f916(x106421,f916(x106422,a904))),x106423),x106424))),
% 202.11/202.00 inference(rename_variables,[],[4683])).
% 202.11/202.00 cnf(10649,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x106491),x106491))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(10662,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x106621),f844(a112,x106621)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(10683,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x106831,a904)),x106832),f241(f916(x106831,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(10686,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x106861),f113(x106861)),x106862))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10705,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x107051),f113(x107051)),x107052))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10712,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x107121),f113(x107121)),x107122))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10723,plain,
% 202.11/202.00 (~E(f844(a112,x107231),f2(a908))),
% 202.11/202.00 inference(rename_variables,[],[4615])).
% 202.11/202.00 cnf(10728,plain,
% 202.11/202.00 (P105(f844(f844(f328(x107281),x107282),f241(f916(x107281,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(10735,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x107351),f113(x107351)),x107352))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10740,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x107401),f844(a112,x107401)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(10743,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x107431),f113(x107431)),x107432))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10746,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x107461),f113(x107461)),x107462))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10749,plain,
% 202.11/202.00 (~P105(f844(f61(x107491,x107492,f188(f916(x107491,a904))),x107493))),
% 202.11/202.00 inference(rename_variables,[],[4679])).
% 202.11/202.00 cnf(10752,plain,
% 202.11/202.00 (~P105(f844(f61(x107521,x107522,f188(f916(x107521,a904))),x107523))),
% 202.11/202.00 inference(rename_variables,[],[4679])).
% 202.11/202.00 cnf(10755,plain,
% 202.11/202.00 (~P105(f844(f844(f188(f916(x107551,f916(x107552,a904))),x107553),x107554))),
% 202.11/202.00 inference(rename_variables,[],[4683])).
% 202.11/202.00 cnf(10758,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x107581),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(10763,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x107631),f113(x107631)),x107632))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10774,plain,
% 202.11/202.00 (~E(f844(a112,x107741),x107741)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(10799,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x107991),x107991))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(10802,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x108021),f844(f844(f80(a908),x108021),x108021)))),
% 202.11/202.00 inference(rename_variables,[],[3710])).
% 202.11/202.00 cnf(10805,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x108051),f844(f844(f80(a908),x108051),x108051)))),
% 202.11/202.00 inference(rename_variables,[],[3710])).
% 202.11/202.00 cnf(10808,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x108081),f844(a112,f844(f844(f79(a908),x108082),x108081))))),
% 202.11/202.00 inference(rename_variables,[],[3897])).
% 202.11/202.00 cnf(10813,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x108131),f844(a112,x108131)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(10816,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x108161),f844(a112,x108161)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(10819,plain,
% 202.11/202.00 (P105(f844(f844(f328(x108191),x108192),f241(f916(x108191,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(10838,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x108381)),x108381))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(10841,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x108411)),x108411))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(10844,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x108441),x108442)),x108442))),
% 202.11/202.00 inference(rename_variables,[],[4680])).
% 202.11/202.00 cnf(10847,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x108471),x108472)),x108472))),
% 202.11/202.00 inference(rename_variables,[],[4680])).
% 202.11/202.00 cnf(10850,plain,
% 202.11/202.00 (P105(f844(f241(f916(x108501,a904)),x108502))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(10853,plain,
% 202.11/202.00 (E(f844(f34(a908),f844(f281(a908),x108531)),x108531)),
% 202.11/202.00 inference(rename_variables,[],[3344])).
% 202.11/202.00 cnf(10856,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x108561),f844(a112,x108561)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(10863,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x108631),x108631))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(10868,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x108681),x108681))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(10877,plain,
% 202.11/202.00 (E(f844(f283(x108771,x108771),f262(x108771,x108772)),x108772)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(10880,plain,
% 202.11/202.00 (P105(f844(f241(f916(x108801,a904)),x108802))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(10882,plain,
% 202.11/202.00 (P30(x108821,f844(f234(a908),f2(a908)),x108822)),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,4615,10623,3243,3410,10459,10462,10558,10561,3286,3347,3282,3309,3293,3919,3380,4624,10450,3344,10523,4227,4685,3365,3811,3747,4269,3517,10542,10662,10740,10813,10816,3899,3433,4660,10427,10430,10456,10583,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,4177,3829,10586,3449,10551,10649,10799,3450,10578,10634,4656,10467,10499,3602,10728,3510,10850,3542,3967,3904,10502,4666,10447,10838,3470,4268,4663,4648,3426,3430,4650,4649,4679,10749,4684,3710,10802,4682,4683,10642,3928,4680,10472,10475,10844,3897,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464])).
% 202.11/202.00 cnf(10883,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f2(a908)),x108831))),
% 202.11/202.00 inference(rename_variables,[],[3470])).
% 202.11/202.00 cnf(10885,plain,
% 202.11/202.00 (P30(x108851,f844(f234(f916(x108852,a904)),f188(f916(x108852,a904))),x108853)),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,4615,10623,3243,3410,10459,10462,10558,10561,3286,3347,3282,3309,3293,3919,3380,4624,10450,3344,10523,4227,4685,3365,3811,3747,4269,3517,10542,10662,10740,10813,10816,3899,3433,4660,10427,10430,10456,10583,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,4177,3829,10586,3449,10551,10649,10799,3450,10578,10634,4656,10467,10499,3602,10728,3510,10850,3542,3967,3904,10502,4666,10447,10838,3470,4268,4663,4648,3426,3430,4650,4649,4679,10749,4684,3896,3710,10802,4682,4683,10642,3928,4680,10472,10475,10844,3897,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465])).
% 202.11/202.00 cnf(10886,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x108861,a904)),f188(f916(x108861,a904))),x108862))),
% 202.11/202.00 inference(rename_variables,[],[3896])).
% 202.11/202.00 cnf(10889,plain,
% 202.11/202.00 (P105(f844(f241(f916(x108891,a904)),x108892))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(10892,plain,
% 202.11/202.00 (P105(f844(f241(f916(x108921,a904)),x108922))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(10895,plain,
% 202.11/202.00 (P105(f844(f241(f916(x108951,a904)),x108952))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(10897,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(f844(f80(a908),f844(a112,x108971)),f844(a112,x108971))),x108971))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,4615,10623,3243,3410,10459,10462,10558,10561,3286,3347,3282,3309,3293,3919,3380,4624,10450,3344,10523,4227,4685,3365,3811,3747,4269,3517,10542,10662,10740,10813,10816,3899,3433,4660,10427,10430,10456,10583,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,4177,3829,10586,3449,10551,10649,10799,3450,10578,10634,4656,10467,10499,3602,10728,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,3470,4268,4663,4648,3426,3430,4650,4649,4679,10749,4684,3896,3710,10802,10805,4682,4683,10642,3928,4680,10472,10475,10844,3897,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476])).
% 202.11/202.00 cnf(10898,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x108981),f844(f844(f80(a908),x108981),x108981)))),
% 202.11/202.00 inference(rename_variables,[],[3710])).
% 202.11/202.00 cnf(10902,plain,
% 202.11/202.00 (E(f844(f168(x109021),f173(x109022,f844(f844(f134(x109021),f844(f168(x109021),x109023)),f844(f844(f151(x109021),x109024),f113(x109021))),f113(x109022))),f844(f844(f151(x109021),x109024),x109023))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,4615,10623,3243,3410,10459,10462,10558,10561,3387,3286,3347,3282,3309,3293,3919,3380,4624,10450,3344,10523,4227,4685,3365,3811,3747,4269,3517,10542,10662,10740,10813,10816,3899,3433,4660,10427,10430,10456,10583,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,4177,3829,10586,3449,10551,10649,10799,3450,10578,10634,4656,10467,10499,3602,10728,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,3470,4268,4663,4648,3426,3430,4650,4649,4679,10749,4684,3896,3710,10802,10805,4682,4683,10642,3928,4680,10472,10475,10844,3897,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515])).
% 202.11/202.00 cnf(10907,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,f844(a112,f844(f844(f79(a908),x109071),x109072)))),f844(a112,x109072)))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,4615,10623,3243,3410,10459,10462,10558,10561,3387,3286,3347,3282,3309,3293,3919,3380,4624,10450,3344,10523,4227,4685,3365,3811,3747,4269,3517,10542,10662,10740,10813,10816,10856,3899,3433,4660,10427,10430,10456,10583,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,4177,3829,10586,3449,10551,10649,10799,3450,10578,10634,4656,10467,10499,3602,10728,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,3470,4268,4663,4648,3426,3430,4650,4649,4679,10749,4684,3896,3710,10802,10805,4682,4683,10642,3928,4680,10472,10475,10844,3897,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519])).
% 202.11/202.00 cnf(10915,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a99),f844(a5,x109151)),f844(a5,f2(a908))))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,4615,10623,3243,3410,10459,10462,10558,10561,3387,3286,3347,3282,3309,3293,3919,3380,4624,10450,3344,10523,4227,4685,3365,3811,3747,4269,3517,10542,10662,10740,10813,10816,10856,3899,3433,4660,10427,10430,10456,10583,10758,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,4177,3829,10586,3449,10551,10649,10799,3450,10578,10634,4656,10467,10499,3602,10728,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,3470,4268,4663,4648,3426,3430,4650,4649,4679,10749,4684,3896,3710,10802,10805,4682,4683,10642,3928,4680,10472,10475,10844,3897,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524])).
% 202.11/202.00 cnf(10938,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x109381),x109381))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(10949,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x109491),f113(x109491)),x109492))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(10956,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x109561),f844(a112,x109561)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(10958,plain,
% 202.11/202.00 (P105(f844(f844(f235(a1),f844(f844(f3(a1),x109581),f77(a1))),x109581))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,4615,10623,3243,3410,10459,10462,10558,10561,3387,3286,3347,3282,3309,3293,3919,3380,4624,10450,3344,10523,4227,4087,4685,3365,3811,3747,4269,3517,10542,10662,10740,10813,10816,10856,3899,3433,4660,10427,10430,10456,10583,10758,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,4177,3829,10586,3449,10551,10649,10799,10863,10938,3450,10578,10634,10868,4656,10467,10499,3602,10728,4669,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,3470,4268,4663,4648,4651,3426,3430,4650,4649,4679,10749,4684,3896,3710,10802,10805,4682,4683,10642,3928,4680,10472,10475,10844,3897,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789])).
% 202.11/202.00 cnf(10959,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x109591),x109591))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(10964,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x109641),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(10979,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x109791),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(10982,plain,
% 202.11/202.00 (~P105(f844(f844(f235(f916(x109821,a904)),x109822),f188(f916(x109821,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4677])).
% 202.11/202.00 cnf(10985,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x109851),x109851))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(10988,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x109881),x109881))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(11003,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x110031),x110031))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(11012,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x110121),x110122),f188(f916(x110121,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11019,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x110191),x110191))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(11022,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x110221,a904)),f844(f309(x110222,x110221,x110223),f844(f310(x110222,x110221,x110223),x110224))),x110224))),
% 202.11/202.00 inference(rename_variables,[],[4326])).
% 202.11/202.00 cnf(11031,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x110311,a904)),f844(f172(x110311),f844(f136(x110311,x110312),x110313))),f844(f172(x110311),x110313)))),
% 202.11/202.00 inference(rename_variables,[],[4096])).
% 202.11/202.00 cnf(11034,plain,
% 202.11/202.00 (E(f844(f309(x110341,x110341,f7(x110341)),x110342),x110342)),
% 202.11/202.00 inference(rename_variables,[],[3506])).
% 202.11/202.00 cnf(11039,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f2(a908)),x110391))),
% 202.11/202.00 inference(rename_variables,[],[3470])).
% 202.11/202.00 cnf(11042,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x110421),x110421))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(11045,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x110451),x110451))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(11054,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x110541),x110541))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(11065,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x110651),f844(f844(f80(a908),x110651),x110651)))),
% 202.11/202.00 inference(rename_variables,[],[3710])).
% 202.11/202.00 cnf(11071,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x110711),f844(a112,f844(f844(f79(a908),x110712),x110711))))),
% 202.11/202.00 inference(rename_variables,[],[3897])).
% 202.11/202.00 cnf(11078,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x110781),x110781))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(11081,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x110811),x110811))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(11084,plain,
% 202.11/202.00 (~E(f844(a112,x110841),x110841)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11089,plain,
% 202.11/202.00 (P105(f844(f844(f328(x110891),x110892),f241(f916(x110891,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(11094,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x110941),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(11109,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f2(a908)),x111091))),
% 202.11/202.00 inference(rename_variables,[],[3470])).
% 202.11/202.00 cnf(11116,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x111161),x111161))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(11125,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x111251),x111252),f188(f916(x111251,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11127,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x111271,a904)),f37(f916(x111271,a904),f844(f307(x111271),x111272))),x111272))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,4615,10623,3243,3410,10459,10462,10558,10561,3387,3286,3347,3282,3309,3293,3919,3506,3380,4624,10450,3344,10523,4227,4087,4685,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,4189,4096,11031,3812,4177,3829,10586,4677,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,4669,11012,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,3896,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929])).
% 202.11/202.00 cnf(11132,plain,
% 202.11/202.00 (P105(f844(f844(f328(f909(x111321)),x111322),f161(x111321,f241(f916(x111321,a904)))))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,4615,10623,3243,3410,10459,10462,10558,10561,3387,3286,3347,3282,3309,3293,3919,3506,3380,4624,10450,3344,10523,4227,4087,4685,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,4189,4096,11031,3812,4177,3829,10586,4677,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,4669,11012,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,3896,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940])).
% 202.11/202.00 cnf(11133,plain,
% 202.11/202.00 (P105(f844(f844(f328(x111331),x111332),f241(f916(x111331,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(11136,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x111361),f909(x111361))),f844(f844(f251(f909(x111361),f909(x111361)),x111362),f113(x111361))),f145(x111361,x111363)))),
% 202.11/202.00 inference(rename_variables,[],[4685])).
% 202.11/202.00 cnf(11145,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(x111451,x111451)),x111452),f262(x111451,f188(f916(x111451,a904)))))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,4615,10623,3243,3410,10459,10462,10558,10561,3387,3286,3347,3282,3309,3293,3919,3506,3380,4624,10450,3344,10523,4227,4087,4685,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,4189,4096,11031,3812,4177,3829,10586,4677,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,4669,11012,11125,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,3896,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071])).
% 202.11/202.00 cnf(11146,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x111461),x111462),f188(f916(x111461,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11148,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x111481),x111482),f844(f310(x111481,x111483,x111484),f188(f916(x111483,a904)))))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,4615,10623,3243,3410,10459,10462,10558,10561,3387,3286,3347,3282,3309,3293,3919,3506,3380,4624,10450,3344,10523,4227,4087,4685,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,4189,4096,11031,3812,4177,3829,10586,4677,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,4669,11012,11125,11146,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,3896,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102])).
% 202.11/202.00 cnf(11149,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x111491),x111492),f188(f916(x111491,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11152,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x111521,a904)),x111522),f844(f844(f308(x111521),x111523),x111522)))),
% 202.11/202.00 inference(rename_variables,[],[3894])).
% 202.11/202.00 cnf(11155,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x111551),x111551))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(11158,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x111581,a904)),x111582),f844(f844(f308(x111581),x111583),x111582)))),
% 202.11/202.00 inference(rename_variables,[],[3894])).
% 202.11/202.00 cnf(11161,plain,
% 202.11/202.00 (E(f844(f309(x111611,x111611,f7(x111611)),x111612),x111612)),
% 202.11/202.00 inference(rename_variables,[],[3506])).
% 202.11/202.00 cnf(11176,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x111761,a904)),x111762),f844(f844(f308(x111761),x111763),x111762)))),
% 202.11/202.00 inference(rename_variables,[],[3894])).
% 202.11/202.00 cnf(11187,plain,
% 202.11/202.00 (~E(f844(a112,x111871),f2(a908))),
% 202.11/202.00 inference(rename_variables,[],[4615])).
% 202.11/202.00 cnf(11190,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x111901),f113(x111901)),x111902))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(11194,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(a908,a908)),f844(f844(f251(a908,a908),f844(a112,x111941)),x111941)),f306(a908,a316)))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,4615,10623,10723,3243,3296,3410,10459,10462,10558,10561,3387,3286,3347,3282,3309,3293,3919,3506,11034,3380,4624,10450,3344,10523,4227,4087,4685,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,4189,4096,11031,3812,4177,3829,10586,4677,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,4669,11012,11125,11146,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,4053,3894,11152,11158,3896,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523])).
% 202.11/202.00 cnf(11203,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x112031),f844(a112,x112031)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(11213,plain,
% 202.11/202.00 (~E(f844(f309(x112131,f916(x112131,a904),x112132),x112133),f844(f307(x112131),x112133))),
% 202.11/202.00 inference(rename_variables,[],[4667])).
% 202.11/202.00 cnf(11216,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x112161),x112162),f188(f916(x112161,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11219,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x112191),x112192),f188(f916(x112191,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11222,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(x112221,x112221)),f844(f844(f251(x112221,x112221),x112222),x112223)),f153(x112221,f113(f916(x112221,a908)))))),
% 202.11/202.00 inference(rename_variables,[],[4684])).
% 202.11/202.00 cnf(11225,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(x112251,x112251)),f844(f844(f251(x112251,x112251),x112252),x112253)),f153(x112251,f113(f916(x112251,a908)))))),
% 202.11/202.00 inference(rename_variables,[],[4684])).
% 202.11/202.00 cnf(11230,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x112301),x112302),f188(f916(x112301,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11233,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(x112331,x112331)),f844(f844(f251(x112331,x112331),x112332),x112332)),f306(x112331,x112333)))),
% 202.11/202.00 inference(rename_variables,[],[4087])).
% 202.11/202.00 cnf(11236,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x112361,a904)),x112362),f241(f916(x112361,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(11239,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x112391,a904)),f844(f172(x112391),f176(x112391,x112392,x112393))),f844(f172(x112391),x112392)))),
% 202.11/202.00 inference(rename_variables,[],[4143])).
% 202.11/202.00 cnf(11255,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x112551,a904)),f188(f916(x112551,a904))),x112552))),
% 202.11/202.00 inference(rename_variables,[],[3896])).
% 202.11/202.00 cnf(11266,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x112661),f909(x112661))),f844(f844(f251(f909(x112661),f909(x112661)),x112662),f113(x112661))),f147(x112661,x112663)))),
% 202.11/202.00 inference(rename_variables,[],[4686])).
% 202.11/202.00 cnf(11277,plain,
% 202.11/202.00 (~E(f844(a112,x112771),x112771)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11280,plain,
% 202.11/202.00 (~E(f844(a112,x112801),x112801)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11284,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(f909(x112841),f909(x112841))),f844(f844(f251(f909(x112841),f909(x112841)),f113(x112841)),f113(x112841))),f844(f844(f288(f909(x112841),f909(x112841),f909(x112841)),f158(x112841,x112842)),f306(f909(x112841),f158(x112841,x112842)))))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,4615,10623,10723,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,3344,10523,4227,4087,11233,4685,11136,4686,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,4189,4096,11031,4143,3812,4177,3829,10586,10683,4677,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,4669,11012,11125,11146,11149,11216,11219,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,4053,3894,11152,11158,3896,10886,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749])).
% 202.11/202.00 cnf(11287,plain,
% 202.11/202.00 (~E(f844(a112,x112871),f2(a908))),
% 202.11/202.00 inference(rename_variables,[],[4615])).
% 202.11/202.00 cnf(11289,plain,
% 202.11/202.00 (E(f844(x112891,f844(f90(x112892,x112893,f241(f916(x112892,a904)),x112891),f844(x112891,x112894))),f844(x112891,x112894))),
% 202.11/202.00 inference(scs_inference,[],[4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,3344,10523,4227,4087,11233,4685,11136,4686,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,4189,4096,11031,4143,3812,4177,3829,10586,10683,4677,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,4669,11012,11125,11146,11149,11216,11219,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,4053,3894,11152,11158,3896,10886,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763])).
% 202.11/202.00 cnf(11292,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x112921,a904)),x112922),x112922))),
% 202.11/202.00 inference(rename_variables,[],[3743])).
% 202.11/202.00 cnf(11299,plain,
% 202.11/202.00 (~E(f844(a112,x112991),x112991)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11302,plain,
% 202.11/202.00 (~E(f844(a112,x113021),x113021)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11307,plain,
% 202.11/202.00 (P24(x113071,x113071,f7(x113071),x113072)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(11312,plain,
% 202.11/202.00 (~E(f844(f309(x113121,f916(x113121,a904),x113122),x113123),f844(f307(x113121),x113123))),
% 202.11/202.00 inference(rename_variables,[],[4667])).
% 202.11/202.00 cnf(11317,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x113171,a904)),x113172),f241(f916(x113171,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(11333,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x113331),x113332),f188(f916(x113331,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11336,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x113361)),x113361))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(11341,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x113411),x113412),f188(f916(x113411,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11351,plain,
% 202.11/202.00 (~P105(f844(f844(f328(a908),f844(a112,f844(f142(a908,a908,f79(a908),f2(a908)),x113511))),f844(f172(a908),x113511)))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,11213,3553,3344,10523,4227,4087,11233,4685,11136,4686,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,4677,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,4669,11012,11125,11146,11149,11216,11219,11230,11333,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,4053,3894,11152,11158,3743,3896,10886,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986])).
% 202.11/202.00 cnf(11352,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x113521)),x113521))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(11355,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x113551),x113552),f188(f916(x113551,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11364,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(x113641,x113641)),f844(f844(f251(x113641,x113641),x113642),x113642)),f306(x113641,x113643)))),
% 202.11/202.00 inference(rename_variables,[],[4087])).
% 202.11/202.00 cnf(11367,plain,
% 202.11/202.00 (P105(f844(f844(f328(x113671),x113672),f241(f916(x113671,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(11370,plain,
% 202.11/202.00 (P105(f844(f844(f328(x113701),x113702),f241(f916(x113701,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(11377,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x113771),f909(x113771))),f844(f844(f251(f909(x113771),f909(x113771)),x113772),f113(x113771))),f145(x113771,x113773)))),
% 202.11/202.00 inference(rename_variables,[],[4685])).
% 202.11/202.00 cnf(11380,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x113801),f909(x113801))),f844(f844(f251(f909(x113801),f909(x113801)),x113802),f113(x113801))),f147(x113801,x113803)))),
% 202.11/202.00 inference(rename_variables,[],[4686])).
% 202.11/202.00 cnf(11383,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x113831),f909(x113831))),f844(f844(f251(f909(x113831),f909(x113831)),x113832),f113(x113831))),f157(x113831,x113833)))),
% 202.11/202.00 inference(rename_variables,[],[4687])).
% 202.11/202.00 cnf(11388,plain,
% 202.11/202.00 (~P105(f844(f844(f235(f916(x113881,a904)),x113882),f188(f916(x113881,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4677])).
% 202.11/202.00 cnf(11390,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x113901),x113902),f844(f309(x113903,x113901,x113904),f188(f916(x113903,a904)))))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,11213,3553,3344,10523,4227,4087,11233,4685,11136,11377,4686,11266,4687,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,4677,10982,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,4053,3894,11152,11158,3743,3896,10886,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225])).
% 202.11/202.00 cnf(11391,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x113911),x113912),f188(f916(x113911,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11395,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x113951,a904)),x113952),f844(f844(f110(f916(x113951,a904)),x113953),f241(f916(x113951,a904)))))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,11213,3553,3344,10523,4227,4087,11233,4685,11136,11377,4686,11266,4687,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,4677,10982,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,4053,3894,11152,11158,3743,3896,10886,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254])).
% 202.11/202.00 cnf(11396,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x113961,a904)),x113962),f241(f916(x113961,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(11402,plain,
% 202.11/202.00 (~P105(f844(f844(f254(x114021,x114022,a904,f844(f172(x114023),f113(x114023))),x114024),x114025))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,11213,3553,3344,10523,4227,4087,11233,4685,11136,11377,4686,11266,4687,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,4677,10982,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,4053,3894,11152,11158,3743,3896,10886,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359])).
% 202.11/202.00 cnf(11403,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x114031),f113(x114031)),x114032))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(11408,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x114081),x114082),f188(f916(x114081,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11411,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(x114111,x114111)),f844(f844(f251(x114111,x114111),x114112),x114113)),f153(x114111,f113(f916(x114111,a908)))))),
% 202.11/202.00 inference(rename_variables,[],[4684])).
% 202.11/202.00 cnf(11414,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x114141,a904)),x114142),x114142))),
% 202.11/202.00 inference(rename_variables,[],[3743])).
% 202.11/202.00 cnf(11417,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x114171),x114172),f188(f916(x114171,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11419,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x114191,a904)),f844(f284(x114192,x114191,f188(f916(f915(x114192,x114191),a904))),x114193)),x114194))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,11213,3553,3344,10523,4227,4087,11233,4685,11136,11377,4686,11266,4687,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,4677,10982,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,11225,4053,3894,11152,11158,3743,11292,3896,10886,11255,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426])).
% 202.11/202.00 cnf(11420,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x114201,a904)),f188(f916(x114201,a904))),x114202))),
% 202.11/202.00 inference(rename_variables,[],[3896])).
% 202.11/202.00 cnf(11423,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(x114231,x114231)),f844(f844(f251(x114231,x114231),x114232),x114232)),f306(x114231,x114233)))),
% 202.11/202.00 inference(rename_variables,[],[4087])).
% 202.11/202.00 cnf(11425,plain,
% 202.11/202.00 (~P33(x114251,x114252,x114253,f844(f844(f154(x114254,x114251),x114255),f844(a112,f113(x114254))),f113(x114252))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,11213,3553,3344,10523,4227,4087,11233,11364,4685,11136,11377,4686,11266,4687,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,4677,10982,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,11225,4053,3894,11152,11158,3743,11292,3896,10886,11255,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434])).
% 202.11/202.00 cnf(11434,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x114341),f909(x114341))),f844(f844(f251(f909(x114341),f909(x114341)),x114342),f113(x114341))),f157(x114341,x114343)))),
% 202.11/202.00 inference(rename_variables,[],[4687])).
% 202.11/202.00 cnf(11441,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x114411),f909(x114411))),f844(f844(f251(f909(x114411),f909(x114411)),f113(x114411)),x114412)),f145(x114411,x114413)))),
% 202.11/202.00 inference(rename_variables,[],[4688])).
% 202.11/202.00 cnf(11449,plain,
% 202.11/202.00 (P105(f844(f844(f328(x114491),x114492),f241(f916(x114491,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(11454,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x114541,a904)),f188(f916(x114541,a904))),x114542))),
% 202.11/202.00 inference(rename_variables,[],[3896])).
% 202.11/202.00 cnf(11457,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x114571),x114572),f188(f916(x114571,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11460,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x114601,a904)),x114602),f241(f916(x114601,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(11464,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x114641,a904)),f844(f284(x114642,x114641,x114643),f188(f916(x114642,a904)))),x114644))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,11213,3553,3344,10523,4227,4087,11233,11364,4685,11136,11377,4686,11266,4687,11383,4688,4689,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,11370,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,11225,4053,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,4231,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693])).
% 202.11/202.00 cnf(11465,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x114651,a904)),f188(f916(x114651,a904))),x114652))),
% 202.11/202.00 inference(rename_variables,[],[3896])).
% 202.11/202.00 cnf(11467,plain,
% 202.11/202.00 (~P105(f844(f65(a908,x114671,x114672,x114673,f241(f916(a908,a904))),x114674))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,4667,11213,3553,3344,10523,4227,4087,11233,11364,4685,11136,11377,4686,11266,4687,11383,4688,4689,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,11370,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,3510,10850,10880,10889,10892,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,11225,4053,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,4231,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714])).
% 202.11/202.00 cnf(11478,plain,
% 202.11/202.00 (P105(f844(f241(f916(x114781,a904)),x114782))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(11486,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x114861),f909(x114861))),f844(f844(f251(f909(x114861),f909(x114861)),x114862),f113(x114861))),f145(x114861,x114863)))),
% 202.11/202.00 inference(rename_variables,[],[4685])).
% 202.11/202.00 cnf(11489,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x114891),f909(x114891))),f844(f844(f251(f909(x114891),f909(x114891)),x114892),f113(x114891))),f147(x114891,x114893)))),
% 202.11/202.00 inference(rename_variables,[],[4686])).
% 202.11/202.00 cnf(11492,plain,
% 202.11/202.00 (~E(f844(f844(f151(x114921),x114922),x114923),x114923)),
% 202.11/202.00 inference(rename_variables,[],[4624])).
% 202.11/202.00 cnf(11495,plain,
% 202.11/202.00 (~E(f844(a112,x114951),x114951)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11498,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x114981),x114982),f188(f916(x114981,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11503,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x115031),x115032),f188(f916(x115031,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11506,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x115061),x115062),f188(f916(x115061,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11509,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(f909(x115091),f909(x115091))),f844(f844(f251(f909(x115091),f909(x115091)),x115092),x115092)),f158(x115091,f306(x115091,x115093))))),
% 202.11/202.00 inference(rename_variables,[],[4220])).
% 202.11/202.00 cnf(11512,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x115121),f909(x115121))),f844(f844(f251(f909(x115121),f909(x115121)),x115122),f113(x115121))),f145(x115121,x115123)))),
% 202.11/202.00 inference(rename_variables,[],[4685])).
% 202.11/202.00 cnf(11522,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(x115221,x115221)),f844(f844(f251(x115221,x115221),x115222),x115223)),f153(x115221,f113(f916(x115221,a908)))))),
% 202.11/202.00 inference(rename_variables,[],[4684])).
% 202.11/202.00 cnf(11525,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x115251),x115252),f188(f916(x115251,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11528,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x115281),x115282),f188(f916(x115281,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11531,plain,
% 202.11/202.00 (P105(f844(f844(f328(x115311),x115312),f241(f916(x115311,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(11534,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x115341),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(11539,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(x115391,x115391)),f844(f844(f251(x115391,x115391),x115392),x115393)),f153(x115391,f113(f916(x115391,a908)))))),
% 202.11/202.00 inference(rename_variables,[],[4684])).
% 202.11/202.00 cnf(11548,plain,
% 202.11/202.00 (~E(f844(f309(x115481,f916(x115481,a904),x115482),x115483),f844(f307(x115481),x115483))),
% 202.11/202.00 inference(rename_variables,[],[4667])).
% 202.11/202.00 cnf(11551,plain,
% 202.11/202.00 (~E(f844(f309(x115511,f916(x115511,a904),x115512),x115513),f844(f307(x115511),x115513))),
% 202.11/202.00 inference(rename_variables,[],[4667])).
% 202.11/202.00 cnf(11556,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x115561),f909(x115561))),f844(f844(f251(f909(x115561),f909(x115561)),x115562),f113(x115561))),f145(x115561,x115563)))),
% 202.11/202.00 inference(rename_variables,[],[4685])).
% 202.11/202.00 cnf(11562,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x115621),f909(x115621))),f844(f844(f251(f909(x115621),f909(x115621)),x115622),f113(x115621))),f145(x115621,x115623)))),
% 202.11/202.00 inference(rename_variables,[],[4685])).
% 202.11/202.00 cnf(11565,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x115651),x115652),f188(f916(x115651,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11567,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(x115671,x115672)),f844(f844(f251(x115671,x115672),f844(x115673,x115674)),f844(x115675,x115674))),f844(f309(f915(x115676,x115676),f915(x115671,x115672),f257(x115676,x115671,x115676,x115672,x115673,x115675)),f306(x115676,x115677))))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,10620,4667,11213,11312,11548,3553,3344,10523,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4220,11509,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,11370,11449,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,3510,10850,10880,10889,10892,10895,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,11225,11411,11522,4053,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,4231,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206])).
% 202.11/202.00 cnf(11570,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x115701),x115702),f188(f916(x115701,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11573,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x115731),x115732),f188(f916(x115731,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11576,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x115761),x115762),f188(f916(x115761,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11579,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x115791),x115792),f188(f916(x115791,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11582,plain,
% 202.11/202.00 (P105(f844(f844(f328(x115821),f844(x115822,x115823)),f844(f309(x115824,x115821,x115822),f241(f916(x115824,a904)))))),
% 202.11/202.00 inference(rename_variables,[],[4053])).
% 202.11/202.00 cnf(11584,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(x115841,x115842)),x115843),f844(f309(f915(x115844,x115844),f915(x115841,x115842),f257(x115844,x115841,x115844,x115842,x115845,x115846)),f153(x115844,f113(f916(x115844,a908))))))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,4615,10623,10723,11187,3243,3296,3410,10459,10462,10558,10561,3387,3906,3286,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,10620,4667,11213,11312,11548,3553,3344,10523,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,4660,10427,10430,10456,10583,10758,10964,10979,11094,4673,3886,3655,4035,3476,3478,3452,4657,4619,4220,11509,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,3450,10578,10634,10868,10959,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,11370,11449,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,3510,10850,10880,10889,10892,10895,3542,3967,3904,10502,4666,10447,10838,10841,11336,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4679,10749,4684,11222,11225,11411,11522,11539,4053,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,4683,10642,4326,4231,3928,4680,10472,10475,10844,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372])).
% 202.11/202.00 cnf(11585,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(x115851,x115851)),f844(f844(f251(x115851,x115851),x115852),x115853)),f153(x115851,f113(f916(x115851,a908)))))),
% 202.11/202.00 inference(rename_variables,[],[4684])).
% 202.11/202.00 cnf(11591,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x115911),x115911))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(11592,plain,
% 202.11/202.00 (~P105(f844(f844(f188(f916(x115921,f916(x115922,a904))),x115923),x115924))),
% 202.11/202.00 inference(rename_variables,[],[4683])).
% 202.11/202.00 cnf(11597,plain,
% 202.11/202.00 (E(f114(x115971,f113(x115971)),f113(x115971))),
% 202.11/202.00 inference(rename_variables,[],[3296])).
% 202.11/202.00 cnf(11600,plain,
% 202.11/202.00 (~E(f844(a112,x116001),x116001)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11607,plain,
% 202.11/202.00 (~E(f844(a112,x116071),x116071)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11612,plain,
% 202.11/202.00 (E(f844(f283(x116121,x116121),f262(x116121,x116122)),x116122)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(11615,plain,
% 202.11/202.00 (E(f844(f283(x116151,x116151),f262(x116151,x116152)),x116152)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(11621,plain,
% 202.11/202.00 (~E(f844(a112,x116211),x116211)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11626,plain,
% 202.11/202.00 (~E(f844(f844(f79(a1),x116261),x116261),a97)),
% 202.11/202.00 inference(rename_variables,[],[4622])).
% 202.11/202.00 cnf(11633,plain,
% 202.11/202.00 (E(f844(f844(f3(a908),f2(a908)),x116331),f2(a908))),
% 202.11/202.00 inference(rename_variables,[],[3366])).
% 202.11/202.00 cnf(11636,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x116361),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(11643,plain,
% 202.11/202.00 (E(f844(f844(f79(a1),f844(f844(f80(a1),x116431),f844(f844(f35(a1),x116432),x116431))),f44(a1,x116432,x116431)),x116432)),
% 202.11/202.00 inference(rename_variables,[],[4000])).
% 202.11/202.00 cnf(11667,plain,
% 202.11/202.00 (~E(f844(a112,x116671),x116671)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11670,plain,
% 202.11/202.00 (~E(f844(a112,x116701),x116701)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11696,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x116961),f113(x116961)),x116962))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(11702,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),f2(a908)),f844(a112,x117021)))),
% 202.11/202.00 inference(rename_variables,[],[3529])).
% 202.11/202.00 cnf(11703,plain,
% 202.11/202.00 (~E(f844(a112,x117031),x117031)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11706,plain,
% 202.11/202.00 (P105(f844(f844(f328(x117061),x117062),f241(f916(x117061,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(11718,plain,
% 202.11/202.00 (~E(f844(a112,x117181),x117181)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11721,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x117211),x117211))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(11728,plain,
% 202.11/202.00 (P105(f844(f65(x117281,x117282,x117283,x117284,f188(f916(x117281,a904))),x117284))),
% 202.11/202.00 inference(rename_variables,[],[4365])).
% 202.11/202.00 cnf(11729,plain,
% 202.11/202.00 (E(f844(f283(x117291,x117291),f262(x117291,x117292)),x117292)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(11742,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x117421),x117422)),x117422))),
% 202.11/202.00 inference(rename_variables,[],[4680])).
% 202.11/202.00 cnf(11745,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a1),f844(f100(a1),x117451)),f2(a1)))),
% 202.11/202.00 inference(rename_variables,[],[4673])).
% 202.11/202.00 cnf(11761,plain,
% 202.11/202.00 (~E(f844(f844(f101(a908),f844(a112,x117611)),x117611),f844(a112,x117611))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,3370,4615,10623,10723,11187,3062,3068,3072,3073,3080,3084,3095,3100,3106,3121,3126,3127,3128,3136,3155,3190,3199,3200,3214,3231,3243,4603,3296,11597,3410,10459,10462,10558,10561,10877,11612,11615,3387,3906,3286,4000,11643,3347,3282,3309,3293,3919,3506,11034,3380,4085,4624,10450,10620,4667,11213,11312,11548,11551,3553,3344,10523,10853,3345,3263,3366,11633,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,11562,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,4622,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,3899,3433,3529,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,4673,3886,3655,4035,3476,3478,3452,4657,4619,3639,4674,4220,11509,3769,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,3450,10578,10634,10868,10959,11081,3451,4656,10467,10499,11003,11045,3602,10728,10819,11089,11133,11367,11370,11449,11531,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,3510,10850,10880,10889,10892,10895,3542,3967,3904,10502,4666,10447,10838,10841,11336,11352,3470,10883,11039,4268,4663,3975,4648,4651,3426,3430,4650,4649,4365,4679,10749,10752,4684,11222,11225,11411,11522,11539,4053,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,4683,10642,10755,4326,4231,3928,4680,10472,10475,10844,10847,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494])).
% 202.11/202.00 cnf(11768,plain,
% 202.11/202.00 (E(f844(f283(x117681,x117681),f262(x117681,x117682)),x117682)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(11773,plain,
% 202.11/202.00 (E(f844(f283(x117731,x117731),f262(x117731,x117732)),x117732)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(11776,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a1),f844(f100(a1),x117761)),f2(a1)))),
% 202.11/202.00 inference(rename_variables,[],[4673])).
% 202.11/202.00 cnf(11781,plain,
% 202.11/202.00 (~E(f844(a112,x117811),x117811)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11790,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x117901),f113(x117901)),x117902))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(11811,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a1),f844(f100(a1),x118111)),f2(a1)))),
% 202.11/202.00 inference(rename_variables,[],[4673])).
% 202.11/202.00 cnf(11814,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x118141),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(11815,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x118151),f844(a112,x118151)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(11818,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a1),f844(f100(a1),x118181)),f2(a1)))),
% 202.11/202.00 inference(rename_variables,[],[4673])).
% 202.11/202.00 cnf(11821,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x118211),x118212),f188(f916(x118211,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11822,plain,
% 202.11/202.00 (P105(f844(f844(f328(f916(x118221,a904)),x118222),f844(f307(x118221),x118222)))),
% 202.11/202.00 inference(rename_variables,[],[3812])).
% 202.11/202.00 cnf(11837,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x118371)),x118371))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(11838,plain,
% 202.11/202.00 (~E(f844(a112,x118381),x118381)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11841,plain,
% 202.11/202.00 (E(f844(f283(x118411,x118411),f262(x118411,x118412)),x118412)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(11851,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x118511),x118512)),x118511))),
% 202.11/202.00 inference(rename_variables,[],[4681])).
% 202.11/202.00 cnf(11854,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a1),f844(f100(a1),x118541)),f2(a1)))),
% 202.11/202.00 inference(rename_variables,[],[4673])).
% 202.11/202.00 cnf(11857,plain,
% 202.11/202.00 (~E(f844(a112,x118571),x118571)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(11870,plain,
% 202.11/202.00 (P105(f844(f844(f328(x118701),x118702),f844(f844(f308(x118701),x118702),x118703)))),
% 202.11/202.00 inference(rename_variables,[],[3759])).
% 202.11/202.00 cnf(11871,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a1),f2(a1)),f844(f78(a1),f844(f100(a1),f844(a112,x118711)))))),
% 202.11/202.00 inference(rename_variables,[],[4682])).
% 202.11/202.00 cnf(11874,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),f844(f844(f3(a908),x118741),x118742)),f844(a112,x118741)))),
% 202.11/202.00 inference(rename_variables,[],[3899])).
% 202.11/202.00 cnf(11877,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f44(a908,x118771,x118772)),x118771))),
% 202.11/202.00 inference(rename_variables,[],[3904])).
% 202.11/202.00 cnf(11883,plain,
% 202.11/202.00 (E(f844(f283(x118831,x118831),f262(x118831,x118832)),x118832)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(11888,plain,
% 202.11/202.00 (E(f844(f844(f134(x118881),f169(x118881,x118882,x118883)),f169(x118881,x118884,x118883)),f844(f844(f134(x118881),f169(x118881,x118884,x118883)),f169(x118881,x118882,x118883)))),
% 202.11/202.00 inference(rename_variables,[],[4014])).
% 202.11/202.00 cnf(11893,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x118931)),x118931))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(11902,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x119021),x119021))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(11905,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f44(a908,x119051,x119052)),x119051))),
% 202.11/202.00 inference(rename_variables,[],[3904])).
% 202.11/202.00 cnf(11906,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f2(a908)),x119061))),
% 202.11/202.00 inference(rename_variables,[],[3470])).
% 202.11/202.00 cnf(11908,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a1),f77(a1)),f2(a1)))),
% 202.11/202.00 inference(scs_inference,[],[3686,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,3370,4615,10623,10723,11187,3061,3062,3068,3069,3072,3073,3080,3084,3085,3095,3096,3100,3106,3121,3126,3127,3128,3136,3155,3190,3199,3200,3202,3214,3231,3243,4603,4014,11888,3296,11597,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,3387,3906,3286,3648,4000,11643,3347,3282,3309,3305,3293,3294,3919,3506,11034,3380,4085,4624,10450,10620,4667,11213,11312,11548,11551,3553,3344,10523,10853,3345,3607,3263,3366,11633,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,11562,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,4501,4502,4622,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,3899,3433,3529,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,4673,11745,11776,11811,11818,3886,3655,4035,3476,3478,3452,4657,4619,3639,4674,4220,11509,3769,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,3450,10578,10634,10868,10959,11081,3451,4656,10467,10499,11003,11045,11054,3602,10728,10819,11089,11133,11367,11370,11449,11531,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,3510,10850,10880,10889,10892,10895,3549,3542,3967,3904,10502,11877,4666,10447,10838,10841,11336,11352,11837,3470,10883,11039,11109,4268,4663,3975,4648,4651,3426,3430,4650,4649,3759,4365,4679,10749,10752,4684,11222,11225,11411,11522,11539,4053,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,4683,10642,10755,4326,4231,3928,4680,10472,10475,10844,10847,4681,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940])).
% 202.11/202.00 cnf(11923,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x119231),x119231))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(11926,plain,
% 202.11/202.00 (P105(f844(f844(f328(x119261),f844(x119262,x119263)),f844(f309(x119264,x119261,x119262),f241(f916(x119264,a904)))))),
% 202.11/202.00 inference(rename_variables,[],[4053])).
% 202.11/202.00 cnf(11927,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x119271)),x119271))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(11930,plain,
% 202.11/202.00 (P105(f844(f844(f328(x119301),f844(x119302,x119303)),f844(f309(x119304,x119301,x119302),f241(f916(x119304,a904)))))),
% 202.11/202.00 inference(rename_variables,[],[4053])).
% 202.11/202.00 cnf(11931,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x119311),x119312)),x119312))),
% 202.11/202.00 inference(rename_variables,[],[4680])).
% 202.11/202.00 cnf(11936,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x119361),x119362)),x119361))),
% 202.11/202.00 inference(rename_variables,[],[4681])).
% 202.11/202.00 cnf(11939,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x119391),f113(x119391)),x119392))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(11942,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x119421),x119421))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(11948,plain,
% 202.11/202.00 (~P34(x119481,x119482,f113(x119481))),
% 202.11/202.00 inference(rename_variables,[],[4635])).
% 202.11/202.00 cnf(11951,plain,
% 202.11/202.00 (P105(f844(f844(f328(x119511),x119512),f241(f916(x119511,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(11952,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x119521)),x119521))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(11965,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x119651),x119652),f188(f916(x119651,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(11968,plain,
% 202.11/202.00 (E(f844(f844(f18(x119681,x119682),x119683),x119684),x119683)),
% 202.11/202.00 inference(rename_variables,[],[3440])).
% 202.11/202.00 cnf(11971,plain,
% 202.11/202.00 (E(f844(f844(f18(x119711,x119712),x119713),x119714),x119713)),
% 202.11/202.00 inference(rename_variables,[],[3440])).
% 202.11/202.00 cnf(11983,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),f2(a908)),f844(a112,x119831)))),
% 202.11/202.00 inference(rename_variables,[],[3529])).
% 202.11/202.00 cnf(11986,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x119861),x119861))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(11989,plain,
% 202.11/202.00 (P105(f844(f60(x119891),f844(f172(x119891),x119892)))),
% 202.11/202.00 inference(rename_variables,[],[3489])).
% 202.11/202.00 cnf(11992,plain,
% 202.11/202.00 (P105(f844(f60(x119921),f844(f172(x119921),x119922)))),
% 202.11/202.00 inference(rename_variables,[],[3489])).
% 202.11/202.00 cnf(11995,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),f844(f78(a1),f844(f100(a1),x119951))),f844(f100(a1),x119952)))),
% 202.11/202.00 inference(rename_variables,[],[3929])).
% 202.11/202.00 cnf(11998,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x119981),x119982),f188(f916(x119981,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12014,plain,
% 202.11/202.00 (~P105(f844(f844(f328(a908),f2(a908)),f844(f303(a908),x120141)))),
% 202.11/202.00 inference(scs_inference,[],[3686,4634,4635,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,3370,4615,10623,10723,11187,3061,3062,3065,3068,3069,3072,3073,3080,3084,3085,3095,3096,3100,3106,3121,3126,3127,3128,3135,3136,3155,3190,3199,3200,3202,3204,3214,3231,3243,4603,4014,11888,3296,11597,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,3387,3906,3286,3648,4000,11643,3347,3282,3309,3305,3293,3294,3919,3506,11034,3380,4085,4624,10450,10620,3440,11968,4667,11213,11312,11548,11551,3553,3344,10523,10853,3345,3607,3263,3366,11633,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,11562,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,4501,4502,4622,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,3899,11874,3433,3529,11702,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,4673,11745,11776,11811,11818,3886,3655,4035,3476,3478,3452,4657,4619,3639,4674,4220,11509,3769,3489,11989,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,3450,10578,10634,10868,10959,11081,3451,3525,4656,10467,10499,11003,11045,11054,11902,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,3510,10850,10880,10889,10892,10895,3549,3542,3967,3904,10502,11877,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,3470,10883,11039,11109,3929,4268,4663,3975,4648,4651,3426,3430,4650,4649,3759,4365,4679,10749,10752,4684,11222,11225,11411,11522,11539,4053,11582,11926,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,11871,4683,10642,10755,4326,4231,3928,3872,4680,10472,10475,10844,10847,11742,4681,11851,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296])).
% 202.11/202.00 cnf(12016,plain,
% 202.11/202.00 (~P105(f844(f844(f328(a908),x120161),f844(f281(a908),f2(a908))))),
% 202.11/202.00 inference(scs_inference,[],[3686,4634,4635,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,3370,4615,10623,10723,11187,3061,3062,3065,3068,3069,3072,3073,3080,3084,3085,3095,3096,3100,3106,3121,3126,3127,3128,3135,3136,3155,3190,3199,3200,3202,3204,3214,3231,3243,4603,4014,11888,3296,11597,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,3387,3906,3286,3648,4000,11643,3347,3282,3309,3305,3293,3294,3919,3506,11034,3380,4085,4624,10450,10620,3440,11968,4667,11213,11312,11548,11551,3553,3344,10523,10853,3345,3607,3263,3366,11633,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,11562,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,4501,4502,4622,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,3899,11874,3433,3529,11702,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,4673,11745,11776,11811,11818,3886,3655,4035,3476,3478,3452,4657,4619,3639,4674,4220,11509,3769,3489,11989,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,3450,10578,10634,10868,10959,11081,3451,3525,4656,10467,10499,11003,11045,11054,11902,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,3510,10850,10880,10889,10892,10895,3549,3542,3967,3904,10502,11877,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,3470,10883,11039,11109,3929,4268,4663,3975,4648,4651,3426,3430,4650,4649,3759,4365,4679,10749,10752,4684,11222,11225,11411,11522,11539,4053,11582,11926,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,11871,4683,10642,10755,4326,4231,3928,3872,4680,10472,10475,10844,10847,11742,4681,11851,3897,10808,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297])).
% 202.11/202.00 cnf(12019,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x120191),x120191))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12022,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x120221),x120221))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12031,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x120311),x120311))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12034,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x120341),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12039,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x120391),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12048,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f2(a908)),x120481))),
% 202.11/202.00 inference(rename_variables,[],[3470])).
% 202.11/202.00 cnf(12049,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x120491)),x120491))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(12052,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x120521),f113(x120521)),x120522))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(12055,plain,
% 202.11/202.00 (~P105(f844(f844(f172(x120551),f113(x120551)),x120552))),
% 202.11/202.00 inference(rename_variables,[],[4665])).
% 202.11/202.00 cnf(12062,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x120621),f844(a112,f844(f844(f79(a908),x120622),x120621))))),
% 202.11/202.00 inference(rename_variables,[],[3897])).
% 202.11/202.00 cnf(12063,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x120631),f844(a112,x120631)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(12075,plain,
% 202.11/202.00 (P105(f844(f844(f235(a1),f844(f78(a1),f77(a1))),f2(a1)))),
% 202.11/202.00 inference(scs_inference,[],[3686,4634,4635,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,3370,4615,10623,10723,11187,3061,3062,3065,3068,3069,3072,3073,3080,3084,3085,3086,3095,3096,3100,3106,3121,3126,3127,3128,3135,3136,3145,3155,3190,3195,3199,3200,3202,3204,3214,3231,3243,4603,4014,11888,3296,11597,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,3387,3906,3286,3648,4000,11643,3347,3282,3309,3305,3293,3294,3919,3506,11034,3380,4085,4624,10450,10620,3440,11968,4667,11213,11312,11548,11551,3553,3344,10523,10853,3345,3607,3263,3366,11633,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,11562,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,4501,4502,4622,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,3899,11874,3433,3529,11702,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,4673,11745,11776,11811,11818,11854,3886,3655,4035,3476,3478,3452,4657,4619,3639,4674,4220,11509,3769,3489,11989,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,3450,10578,10634,10868,10959,11081,11721,12019,12022,3451,3525,4656,10467,10499,11003,11045,11054,11902,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,3510,10850,10880,10889,10892,10895,3549,3542,3967,3904,10502,11877,11905,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,3470,10883,11039,11109,11906,3929,4268,4663,3975,4648,4651,3426,3430,4650,4649,3759,4365,4679,10749,10752,4684,11222,11225,11411,11522,11539,4053,11582,11926,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,11871,4683,10642,10755,4326,4231,3928,3872,4680,10472,10475,10844,10847,11742,4681,11851,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603])).
% 202.11/202.00 cnf(12078,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x120781)),x120781))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(12081,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x120811)),x120811))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(12084,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x120841)),x120841))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(12087,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x120871)),x120871))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(12090,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x120901),x120901))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12093,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x120931),x120931))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12096,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x120961),x120961))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12099,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x120991),x120991))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12115,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f844(f844(f3(a908),x121151),f844(a112,x121151))),f2(a908)))),
% 202.11/202.00 inference(scs_inference,[],[3686,4634,4635,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,3370,4615,10623,10723,11187,3061,3062,3065,3068,3069,3072,3073,3080,3084,3085,3086,3095,3096,3100,3106,3121,3126,3127,3128,3135,3136,3145,3155,3190,3195,3199,3200,3202,3204,3214,3231,3243,4603,4014,11888,3296,11597,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,3387,3906,3286,3648,4000,11643,3347,3282,3309,3305,3293,3294,3919,3506,11034,3380,4085,4624,10450,10620,3440,11968,4667,11213,11312,11548,11551,3553,3344,10523,10853,3345,3607,3263,3366,11633,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,11562,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,4501,4502,4622,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,3899,11874,3433,3529,11702,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,4673,11745,11776,11811,11818,11854,3886,3655,4035,3476,3478,3452,4657,4619,3639,4674,4220,11509,3769,3489,11989,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,4189,4096,11031,4143,3812,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,3450,10578,10634,10868,10959,11081,11721,12019,12022,3451,3525,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,3510,10850,10880,10889,10892,10895,3549,3542,3967,3904,10502,11877,11905,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,3470,10883,11039,11109,11906,3929,4268,4663,3975,4648,4651,3426,3430,4650,4649,3759,4365,4679,10749,10752,4684,11222,11225,11411,11522,11539,4053,11582,11926,3894,11152,11158,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,11871,4683,10642,10755,4326,4231,3928,3872,4680,10472,10475,10844,10847,11742,4681,11851,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681])).
% 202.11/202.00 cnf(12116,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x121161),x121161))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12119,plain,
% 202.11/202.00 (P24(a908,a908,a112,x121191)),
% 202.11/202.00 inference(rename_variables,[],[3654])).
% 202.11/202.00 cnf(12122,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x121221),x121221))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12133,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x121331),x121331))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12136,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(f915(f909(x121361),f909(x121361)),a904)),f158(x121361,x121362)),f306(f909(x121361),f157(x121361,x121362))))),
% 202.11/202.00 inference(rename_variables,[],[4148])).
% 202.11/202.00 cnf(12143,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x121431),f844(a112,x121431)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(12146,plain,
% 202.11/202.00 (P105(f844(f844(f328(f916(x121461,a904)),x121462),f844(f307(x121461),x121462)))),
% 202.11/202.00 inference(rename_variables,[],[3812])).
% 202.11/202.00 cnf(12147,plain,
% 202.11/202.00 (~E(f844(a112,x121471),x121471)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12152,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x121521),x121521))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12157,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x121571),x121571))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12168,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x121681,a904)),x121682),f844(f844(f308(x121681),x121683),x121682)))),
% 202.11/202.00 inference(rename_variables,[],[3894])).
% 202.11/202.00 cnf(12171,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x121711),x121711))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12172,plain,
% 202.11/202.00 (~E(f844(a112,x121721),x121721)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12183,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x121831),x121831))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12184,plain,
% 202.11/202.00 (~E(f844(a112,x121841),x121841)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12187,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x121871),x121871))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12190,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x121901),x121901))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12193,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x121931),x121931))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12196,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x121961),x121961))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12199,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x121991),x121991))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12202,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122021),x122021))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12205,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122051),x122051))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12206,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x122061),f844(a112,x122061)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(12213,plain,
% 202.11/202.00 (~E(f844(a112,x122131),x122131)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12218,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122181),x122181))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12219,plain,
% 202.11/202.00 (~E(f844(a112,x122191),x122191)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12222,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x122221),x122221))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12239,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x122391),x122391))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12244,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f2(a908)),x122441))),
% 202.11/202.00 inference(rename_variables,[],[3470])).
% 202.11/202.00 cnf(12258,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122581),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12261,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122611),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12264,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x122641),x122642),f188(f916(x122641,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12267,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x122671),x122672),f188(f916(x122671,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12270,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122701),x122701))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12272,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122721),f844(f844(f101(a908),x122721),x122722)))),
% 202.11/202.00 inference(scs_inference,[],[3686,4634,4635,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,3654,3370,4615,10623,10723,11187,3061,3062,3065,3068,3069,3072,3073,3080,3084,3085,3086,3095,3096,3100,3106,3121,3126,3127,3128,3135,3136,3145,3155,3190,3195,3199,3200,3202,3204,3214,3231,3243,4603,4014,11888,3296,11597,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,3387,3396,3906,4213,3286,3648,4000,11643,3347,3282,3309,3305,3293,3294,3919,3506,11034,3380,4085,4624,10450,10620,3440,11968,4667,11213,11312,11548,11551,3553,3344,10523,10853,3345,3607,3263,3366,11633,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,11562,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,4501,4502,4622,3747,4269,3963,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,3899,11874,3433,3529,11702,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,4673,11745,11776,11811,11818,11854,3886,3655,4035,3476,3478,3452,4657,4619,3639,4674,4220,11509,3769,3489,11989,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,4189,4148,4096,11031,4143,3812,11822,4177,3829,10586,10683,11236,11317,11396,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,3451,3525,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,3510,10850,10880,10889,10892,10895,3549,3542,3967,3904,10502,11877,11905,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,3470,10883,11039,11109,11906,12048,3929,4268,4663,3941,3975,4648,4651,3426,3430,4650,4649,3759,4365,4679,10749,10752,4684,11222,11225,11411,11522,11539,4053,11582,11926,3894,11152,11158,11176,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,11871,4683,10642,10755,4326,4231,3928,3872,4680,10472,10475,10844,10847,11742,4681,11851,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188])).
% 202.11/202.00 cnf(12273,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122731),x122731))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12276,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122761),x122761))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12279,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x122791),x122791))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12282,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x122821),f844(a112,x122821)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(12289,plain,
% 202.11/202.00 (P105(f844(f844(f328(f916(x122891,a904)),x122892),f844(f307(x122891),x122892)))),
% 202.11/202.00 inference(rename_variables,[],[3812])).
% 202.11/202.00 cnf(12294,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x122941,a904)),x122942),f844(f844(f308(x122941),x122943),x122942)))),
% 202.11/202.00 inference(rename_variables,[],[3894])).
% 202.11/202.00 cnf(12301,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x123011),x123012),f188(f916(x123011,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12310,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x123101,a904)),x123102),f241(f916(x123101,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(12311,plain,
% 202.11/202.00 (~E(f844(a112,x123111),x123111)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12314,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x123141,a904)),f844(f172(x123141),f844(f136(x123141,x123142),x123143))),f844(f172(x123141),x123143)))),
% 202.11/202.00 inference(rename_variables,[],[4096])).
% 202.11/202.00 cnf(12320,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x123201),f844(a112,x123201)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(12328,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(x123281,x123281)),x123282),f153(x123281,f113(f916(x123281,a908)))))),
% 202.11/202.00 inference(scs_inference,[],[3686,4634,4635,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,3654,3370,4615,10623,10723,11187,3061,3062,3064,3065,3068,3069,3072,3073,3080,3084,3085,3086,3095,3096,3100,3106,3121,3126,3127,3128,3135,3136,3145,3155,3190,3195,3199,3200,3202,3204,3214,3231,3243,4603,4014,11888,3296,11597,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,3387,3396,3906,4213,3286,3648,4000,11643,3347,3282,3309,3305,3293,3294,3919,3506,11034,3380,4085,4624,10450,10620,3440,11968,4667,11213,11312,11548,11551,3553,3344,10523,10853,3345,3607,3263,3366,11633,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,11562,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,3811,4501,4502,4622,3747,4269,3963,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,3899,11874,3433,3529,11702,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,4673,11745,11776,11811,11818,11854,3886,3655,4035,3476,3478,3452,4657,4619,3639,4674,4220,11509,3769,3489,11989,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,4189,4148,4096,11031,4143,3812,11822,12146,4177,3829,10586,10683,11236,11317,11396,11460,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,3451,3525,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,3510,10850,10880,10889,10892,10895,3549,3542,3967,3904,10502,11877,11905,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,3470,10883,11039,11109,11906,12048,3929,4268,4663,3941,3975,4648,4651,3426,3430,4650,4649,3759,4365,4679,10749,10752,4684,11222,11225,11411,11522,11539,4053,11582,11926,3894,11152,11158,11176,12168,3743,11292,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,11871,4683,10642,10755,4326,4231,3928,3872,4680,10472,10475,10844,10847,11742,4681,11851,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411])).
% 202.11/202.00 cnf(12329,plain,
% 202.11/202.00 (E(f844(f283(x123291,x123291),f262(x123291,x123292)),x123292)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12340,plain,
% 202.11/202.00 (~P105(f844(f844(f234(a908),f844(a112,x123401)),x123401))),
% 202.11/202.00 inference(rename_variables,[],[4666])).
% 202.11/202.00 cnf(12341,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x123411),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12344,plain,
% 202.11/202.00 (P105(f844(f60(x123441),f188(f916(x123441,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3525])).
% 202.11/202.00 cnf(12345,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x123451),x123452),f188(f916(x123451,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12352,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x123521,a904)),f844(f172(x123521),f176(x123521,x123522,x123523))),f844(f172(x123521),x123522)))),
% 202.11/202.00 inference(rename_variables,[],[4143])).
% 202.11/202.00 cnf(12355,plain,
% 202.11/202.00 (P24(x123551,x123551,f7(x123551),x123552)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12362,plain,
% 202.11/202.00 (P105(f844(f844(f328(f916(x123621,a904)),x123622),f844(f307(x123621),x123622)))),
% 202.11/202.00 inference(rename_variables,[],[3812])).
% 202.11/202.00 cnf(12369,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x123691),x123691))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12372,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x123721),x123722),f188(f916(x123721,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12375,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x123751,a904)),x123752),f844(f844(f308(x123751),x123753),x123752)))),
% 202.11/202.00 inference(rename_variables,[],[3894])).
% 202.11/202.00 cnf(12376,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x123761,a904)),x123762),f241(f916(x123761,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(12383,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x123831),x123831))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12386,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x123861),x123861))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12389,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x123891),x123891))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12392,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x123921),x123921))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12395,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x123951),f844(a112,x123951)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(12398,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x123981),f844(a112,x123981)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(12401,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x124011,a904)),x124012),x124012))),
% 202.11/202.00 inference(rename_variables,[],[3743])).
% 202.11/202.00 cnf(12408,plain,
% 202.11/202.00 (P105(f844(f844(f328(f916(x124081,a904)),x124082),f844(f307(x124081),x124082)))),
% 202.11/202.00 inference(rename_variables,[],[3812])).
% 202.11/202.00 cnf(12417,plain,
% 202.11/202.00 (~E(f844(a112,x124171),x124171)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12418,plain,
% 202.11/202.00 (E(f844(f309(x124181,x124181,f7(x124181)),x124182),x124182)),
% 202.11/202.00 inference(rename_variables,[],[3506])).
% 202.11/202.00 cnf(12421,plain,
% 202.11/202.00 (P31(x124211,x124212,f113(x124211),f113(x124211))),
% 202.11/202.00 inference(rename_variables,[],[3695])).
% 202.11/202.00 cnf(12424,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x124241,a904)),f844(f172(x124241),f176(x124241,x124242,x124243))),f844(f172(x124241),x124242)))),
% 202.11/202.00 inference(rename_variables,[],[4143])).
% 202.11/202.00 cnf(12425,plain,
% 202.11/202.00 (P105(f844(f60(x124251),f844(f172(x124251),x124252)))),
% 202.11/202.00 inference(rename_variables,[],[3489])).
% 202.11/202.00 cnf(12436,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x124361),x124361))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12439,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x124391),x124391))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12444,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f2(a908)),x124441))),
% 202.11/202.00 inference(rename_variables,[],[3470])).
% 202.11/202.00 cnf(12451,plain,
% 202.11/202.00 (P12(a908,f844(f168(a908),f844(f844(f154(f909(x124511),a908),f189(f909(x124511))),f179(x124511,x124512))))),
% 202.11/202.00 inference(rename_variables,[],[4010])).
% 202.11/202.00 cnf(12454,plain,
% 202.11/202.00 (P24(x124541,x124541,f7(x124541),x124542)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12457,plain,
% 202.11/202.00 (P24(x124571,x124571,f7(x124571),x124572)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12460,plain,
% 202.11/202.00 (P105(f844(f844(f328(f909(x124601)),f113(x124601)),f161(x124601,x124602)))),
% 202.11/202.00 inference(rename_variables,[],[3646])).
% 202.11/202.00 cnf(12463,plain,
% 202.11/202.00 (~P105(f844(f844(f188(f916(x124631,f916(x124632,a904))),x124633),x124634))),
% 202.11/202.00 inference(rename_variables,[],[4683])).
% 202.11/202.00 cnf(12468,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x124681),x124681))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12469,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f2(a908)),x124691))),
% 202.11/202.00 inference(rename_variables,[],[3470])).
% 202.11/202.00 cnf(12472,plain,
% 202.11/202.00 (~P105(f844(f844(f188(f916(x124721,f916(x124722,a904))),x124723),x124724))),
% 202.11/202.00 inference(rename_variables,[],[4683])).
% 202.11/202.00 cnf(12475,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(f915(f909(x124751),f909(x124751)),a904)),f158(x124751,x124752)),f306(f909(x124751),f157(x124751,x124752))))),
% 202.11/202.00 inference(rename_variables,[],[4148])).
% 202.11/202.00 cnf(12481,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x124811,a904)),f844(f309(x124812,x124811,x124813),f844(f310(x124812,x124811,x124813),x124814))),x124814))),
% 202.11/202.00 inference(rename_variables,[],[4326])).
% 202.11/202.00 cnf(12484,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x124841,a904)),f844(f172(x124841),f176(x124841,x124842,x124843))),f844(f172(x124841),x124842)))),
% 202.11/202.00 inference(rename_variables,[],[4143])).
% 202.11/202.00 cnf(12485,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x124851,a904)),f844(f172(x124851),f844(f136(x124851,x124852),x124853))),f844(f172(x124851),x124853)))),
% 202.11/202.00 inference(rename_variables,[],[4096])).
% 202.11/202.00 cnf(12488,plain,
% 202.11/202.00 (~P105(f844(f844(f235(f916(x124881,a904)),x124882),f188(f916(x124881,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4677])).
% 202.11/202.00 cnf(12496,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x124961,a904)),f844(f309(x124962,x124961,x124963),f844(f310(x124962,x124961,x124963),x124964))),x124964))),
% 202.11/202.00 inference(rename_variables,[],[4326])).
% 202.11/202.00 cnf(12501,plain,
% 202.11/202.00 (P105(f844(f844(f328(f909(x125011)),f113(x125011)),f161(x125011,x125012)))),
% 202.11/202.00 inference(rename_variables,[],[3646])).
% 202.11/202.00 cnf(12504,plain,
% 202.11/202.00 (~P105(f844(f844(f328(f915(f909(x125041),f909(x125041))),f844(f844(f251(f909(x125041),f909(x125041)),x125042),f113(x125041))),f145(x125041,x125043)))),
% 202.11/202.00 inference(rename_variables,[],[4685])).
% 202.11/202.00 cnf(12507,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x125071),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12509,plain,
% 202.11/202.00 (~P105(f844(f60(x125091),f241(f916(x125091,a904))))),
% 202.11/202.00 inference(scs_inference,[],[3686,11307,12355,12454,3695,3703,3420,4634,4635,3319,3322,4633,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,3654,3370,4615,10623,10723,11187,3061,3062,3064,3065,3068,3069,3071,3072,3073,3080,3084,3085,3086,3095,3096,3100,3106,3115,3121,3126,3127,3128,3135,3136,3145,3155,3190,3195,3199,3200,3202,3204,3214,3231,3243,4603,4014,11888,3296,11597,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,3387,3396,3906,4213,3286,3648,4000,11643,3347,3282,3309,3305,3293,3294,3919,3329,3506,11034,11161,3380,4085,4624,10450,10620,3440,11968,4667,11213,11312,11548,11551,3553,3344,10523,10853,3345,3607,3263,3366,11633,4227,4087,11233,11364,11423,4685,11136,11377,11486,11512,11556,11562,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,12460,12501,3811,4501,4502,4622,3747,4269,3963,4010,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,3899,11874,3433,3529,11702,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,4673,11745,11776,11811,11818,11854,3886,3655,4035,3476,3478,3452,4657,4619,3639,4674,4220,11509,3769,3489,11989,11992,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,4189,4148,12136,12475,4096,11031,12314,4143,11239,12352,12424,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,3451,3525,12344,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,3510,10850,10880,10889,10892,10895,3549,3542,3967,3904,10502,11877,11905,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,3470,10883,11039,11109,11906,12048,12244,12444,3929,4268,4663,3941,3975,4648,4651,3426,3430,4650,4649,3759,4365,4679,10749,10752,4684,11222,11225,11411,11522,11539,4053,11582,11926,3894,11152,11158,11176,12168,12294,3743,11292,11414,12401,3896,10886,11255,11420,11454,3603,3710,10802,10805,10898,11065,4682,11871,4683,10642,10755,11592,12463,4326,11022,12481,4231,3928,3872,4680,10472,10475,10844,10847,11742,4681,11851,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313])).
% 202.11/202.00 cnf(12510,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x125101,a904)),x125102),x125102))),
% 202.11/202.00 inference(rename_variables,[],[3743])).
% 202.11/202.00 cnf(12513,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x125131),x125132),f188(f916(x125131,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12516,plain,
% 202.11/202.00 (~P105(f844(f844(f188(f916(x125161,f916(x125162,a904))),x125163),x125164))),
% 202.11/202.00 inference(rename_variables,[],[4683])).
% 202.11/202.00 cnf(12519,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x125191,a904)),f844(f309(x125192,x125191,x125193),f844(f310(x125192,x125191,x125193),x125194))),x125194))),
% 202.11/202.00 inference(rename_variables,[],[4326])).
% 202.11/202.00 cnf(12520,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x125201,a904)),x125202),x125202))),
% 202.11/202.00 inference(rename_variables,[],[3743])).
% 202.11/202.00 cnf(12525,plain,
% 202.11/202.00 (E(f844(f283(x125251,x125251),f262(x125251,x125252)),x125252)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12528,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x125281,a904)),f844(f172(x125281),f176(x125281,x125282,x125283))),f844(f172(x125281),x125282)))),
% 202.11/202.00 inference(rename_variables,[],[4143])).
% 202.11/202.00 cnf(12529,plain,
% 202.11/202.00 (P105(f844(f60(x125291),f844(f172(x125291),x125292)))),
% 202.11/202.00 inference(rename_variables,[],[3489])).
% 202.11/202.00 cnf(12532,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x125321),x125321))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12535,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x125351),x125351))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12538,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x125381),x125381))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12549,plain,
% 202.11/202.00 (P24(x125491,x125491,f7(x125491),x125492)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12557,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x125571),x125572),f188(f916(x125571,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12560,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(x125601,x125601)),f844(f844(f251(x125601,x125601),x125602),x125602)),f306(x125601,x125603)))),
% 202.11/202.00 inference(rename_variables,[],[4087])).
% 202.11/202.00 cnf(12563,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x125631),x125632),f188(f916(x125631,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12566,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(x125661,x125661)),f844(f844(f251(x125661,x125661),x125662),x125662)),f306(x125661,x125663)))),
% 202.11/202.00 inference(rename_variables,[],[4087])).
% 202.11/202.00 cnf(12576,plain,
% 202.11/202.00 (~E(f844(f844(f151(x125761),x125762),x125763),x125763)),
% 202.11/202.00 inference(rename_variables,[],[4624])).
% 202.11/202.00 cnf(12583,plain,
% 202.11/202.00 (P105(f844(f844(f328(x125831),x125832),f241(f916(x125831,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(12584,plain,
% 202.11/202.00 (~E(f844(a112,x125841),x125841)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12587,plain,
% 202.11/202.00 (P105(f844(f844(f328(f909(x125871)),f113(x125871)),f161(x125871,x125872)))),
% 202.11/202.00 inference(rename_variables,[],[3646])).
% 202.11/202.00 cnf(12588,plain,
% 202.11/202.00 (~E(f844(f844(f151(x125881),x125882),x125883),f113(x125881))),
% 202.11/202.00 inference(rename_variables,[],[4631])).
% 202.11/202.00 cnf(12591,plain,
% 202.11/202.00 (P24(x125911,x125911,f7(x125911),x125912)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12594,plain,
% 202.11/202.00 (P105(f844(f844(f328(x125941),f844(x125942,x125943)),f844(f309(x125944,x125941,x125942),f241(f916(x125944,a904)))))),
% 202.11/202.00 inference(rename_variables,[],[4053])).
% 202.11/202.00 cnf(12595,plain,
% 202.11/202.00 (P24(x125951,x125951,f7(x125951),x125952)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12598,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x125981,a904)),f188(f916(x125981,a904))),x125982))),
% 202.11/202.00 inference(rename_variables,[],[3896])).
% 202.11/202.00 cnf(12599,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x125991,a904)),x125992),x125992))),
% 202.11/202.00 inference(rename_variables,[],[3743])).
% 202.11/202.00 cnf(12602,plain,
% 202.11/202.00 (P105(f844(f844(f328(x126021),f844(x126022,x126023)),f844(f309(x126024,x126021,x126022),f241(f916(x126024,a904)))))),
% 202.11/202.00 inference(rename_variables,[],[4053])).
% 202.11/202.00 cnf(12603,plain,
% 202.11/202.00 (P24(x126031,x126031,f7(x126031),x126032)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12606,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(f909(x126061),f909(x126061))),f844(f844(f251(f909(x126061),f909(x126061)),f113(x126061)),f113(x126061))),f158(x126061,x126062)))),
% 202.11/202.00 inference(rename_variables,[],[4227])).
% 202.11/202.00 cnf(12610,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x126101),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12616,plain,
% 202.11/202.00 (E(f844(f844(f134(x126161),x126162),f113(x126161)),x126162)),
% 202.11/202.00 inference(rename_variables,[],[3381])).
% 202.11/202.00 cnf(12617,plain,
% 202.11/202.00 (~E(f844(f844(f151(x126171),x126172),x126173),x126173)),
% 202.11/202.00 inference(rename_variables,[],[4624])).
% 202.11/202.00 cnf(12620,plain,
% 202.11/202.00 (E(f844(f844(f134(x126201),x126202),f113(x126201)),x126202)),
% 202.11/202.00 inference(rename_variables,[],[3381])).
% 202.11/202.00 cnf(12621,plain,
% 202.11/202.00 (~E(f844(f844(f151(x126211),x126212),x126213),x126213)),
% 202.11/202.00 inference(rename_variables,[],[4624])).
% 202.11/202.00 cnf(12624,plain,
% 202.11/202.00 (E(f844(f844(f134(x126241),x126242),f113(x126241)),x126242)),
% 202.11/202.00 inference(rename_variables,[],[3381])).
% 202.11/202.00 cnf(12631,plain,
% 202.11/202.00 (P50(x126311,f262(x126311,x126312))),
% 202.11/202.00 inference(rename_variables,[],[3323])).
% 202.11/202.00 cnf(12634,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x126341,a904)),f844(f172(x126341),f844(f136(x126341,x126342),x126343))),f844(f172(x126341),x126343)))),
% 202.11/202.00 inference(rename_variables,[],[4096])).
% 202.11/202.00 cnf(12635,plain,
% 202.11/202.00 (E(f844(f309(x126351,x126351,f7(x126351)),x126352),x126352)),
% 202.11/202.00 inference(rename_variables,[],[3506])).
% 202.11/202.00 cnf(12640,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x126401,a904)),x126402),f241(f916(x126401,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(12644,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x126441),x126441))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12645,plain,
% 202.11/202.00 (~E(f844(a112,x126451),x126451)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12648,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x126481,a904)),f188(f916(x126481,a904))),x126482))),
% 202.11/202.00 inference(rename_variables,[],[3896])).
% 202.11/202.00 cnf(12651,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x126511),x126511))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12654,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x126541,a904)),x126542),x126542))),
% 202.11/202.00 inference(rename_variables,[],[3743])).
% 202.11/202.00 cnf(12659,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x126591,a904)),x126592),f844(f844(f308(x126591),x126593),x126592)))),
% 202.11/202.00 inference(rename_variables,[],[3894])).
% 202.11/202.00 cnf(12662,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x126621,a904)),x126622),x126622))),
% 202.11/202.00 inference(rename_variables,[],[3743])).
% 202.11/202.00 cnf(12663,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x126631),x126632),f188(f916(x126631,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12666,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x126661),x126662),f188(f916(x126661,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12675,plain,
% 202.11/202.00 (P24(x126751,x126751,f7(x126751),x126752)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12678,plain,
% 202.11/202.00 (E(f844(f189(f909(x126781)),f169(x126781,x126782,x126783)),x126782)),
% 202.11/202.00 inference(rename_variables,[],[3516])).
% 202.11/202.00 cnf(12681,plain,
% 202.11/202.00 (P25(x126811,x126811,f31(x126811),x126812,x126812)),
% 202.11/202.00 inference(rename_variables,[],[4111])).
% 202.11/202.00 cnf(12684,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x126841),x126841))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12685,plain,
% 202.11/202.00 (P105(f844(f241(f916(x126851,a904)),x126852))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(12688,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x126881),x126882),f188(f916(x126881,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12691,plain,
% 202.11/202.00 (P105(f844(f844(f328(x126911),f844(x126912,x126913)),f844(f309(x126914,x126911,x126912),f241(f916(x126914,a904)))))),
% 202.11/202.00 inference(rename_variables,[],[4053])).
% 202.11/202.00 cnf(12692,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(x126921,x126921)),f844(f844(f251(x126921,x126921),x126922),x126922)),f306(x126921,x126923)))),
% 202.11/202.00 inference(rename_variables,[],[4087])).
% 202.11/202.00 cnf(12695,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(x126951,x126951)),f844(f844(f251(x126951,x126951),x126952),x126952)),f306(x126951,x126953)))),
% 202.11/202.00 inference(rename_variables,[],[4087])).
% 202.11/202.00 cnf(12698,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x126981),x126981))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12699,plain,
% 202.11/202.00 (P105(f844(f241(f916(x126991,a904)),x126992))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(12702,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x127021,a904)),x127022),f241(f916(x127021,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(12703,plain,
% 202.11/202.00 (P25(x127031,x127031,f31(x127031),x127032,x127032)),
% 202.11/202.00 inference(rename_variables,[],[4111])).
% 202.11/202.00 cnf(12706,plain,
% 202.11/202.00 (P105(f844(f60(x127061),f844(f172(x127061),x127062)))),
% 202.11/202.00 inference(rename_variables,[],[3489])).
% 202.11/202.00 cnf(12716,plain,
% 202.11/202.00 (~P105(f844(f844(f188(f916(x127161,f916(x127162,a904))),x127163),x127164))),
% 202.11/202.00 inference(rename_variables,[],[4683])).
% 202.11/202.00 cnf(12722,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x127221,a904)),x127222),f241(f916(x127221,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(12725,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(x127251,x127251)),f844(f844(f251(x127251,x127251),x127252),x127252)),f306(x127251,x127253)))),
% 202.11/202.00 inference(rename_variables,[],[4087])).
% 202.11/202.00 cnf(12728,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x127281),x127282)),x127282))),
% 202.11/202.00 inference(rename_variables,[],[4680])).
% 202.11/202.00 cnf(12729,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x127291),f844(a112,x127291)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(12732,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x127321,a904)),x127322),f241(f916(x127321,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3829])).
% 202.11/202.00 cnf(12735,plain,
% 202.11/202.00 (E(f844(f283(x127351,x127351),f262(x127351,x127352)),x127352)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12746,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x127461),x127462),f188(f916(x127461,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12747,plain,
% 202.11/202.00 (P105(f844(f844(f328(f915(f909(x127471),f909(x127471))),f844(f844(f251(f909(x127471),f909(x127471)),f113(x127471)),f113(x127471))),f158(x127471,x127472)))),
% 202.11/202.00 inference(rename_variables,[],[4227])).
% 202.11/202.00 cnf(12754,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x127541),x127542),f188(f916(x127541,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12759,plain,
% 202.11/202.00 (P30(x127591,x127592,f113(x127591))),
% 202.11/202.00 inference(rename_variables,[],[3386])).
% 202.11/202.00 cnf(12762,plain,
% 202.11/202.00 (E(f844(f189(f909(x127621)),f169(x127621,x127622,x127623)),x127622)),
% 202.11/202.00 inference(rename_variables,[],[3516])).
% 202.11/202.00 cnf(12765,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x127651),x127652),f188(f916(x127651,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12771,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x127711),x127711))),
% 202.11/202.00 inference(rename_variables,[],[4656])).
% 202.11/202.00 cnf(12774,plain,
% 202.11/202.00 (P105(f844(f844(f328(x127741),x127742),f241(f916(x127741,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3602])).
% 202.11/202.00 cnf(12778,plain,
% 202.11/202.00 (P105(f844(f844(f234(f916(x127781,a904)),x127782),x127782))),
% 202.11/202.00 inference(rename_variables,[],[3743])).
% 202.11/202.00 cnf(12781,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x127811),x127812),f188(f916(x127811,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(12784,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),f2(a1)),f844(f844(f243(a1),f844(f75(a1),x127841)),x127842)))),
% 202.11/202.00 inference(rename_variables,[],[3928])).
% 202.11/202.00 cnf(12787,plain,
% 202.11/202.00 (~E(f844(a112,x127871),x127871)),
% 202.11/202.00 inference(rename_variables,[],[4605])).
% 202.11/202.00 cnf(12789,plain,
% 202.11/202.00 (E(f844(f283(x127891,x127891),f262(x127891,x127892)),x127892)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12793,plain,
% 202.11/202.00 (E(f188(f916(f915(x127931,x127931),a904)),f262(x127931,f188(f916(x127931,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3520])).
% 202.11/202.00 cnf(12795,plain,
% 202.11/202.00 (E(f188(f916(f915(x127951,x127951),a904)),f262(x127951,f188(f916(x127951,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3520])).
% 202.11/202.00 cnf(12799,plain,
% 202.11/202.00 (E(f844(f283(x127991,x127991),f262(x127991,x127992)),x127992)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12801,plain,
% 202.11/202.00 (E(f844(f283(x128011,x128011),f262(x128011,x128012)),x128012)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12806,plain,
% 202.11/202.00 (P36(x128061,f153(x128061,x128062))),
% 202.11/202.00 inference(rename_variables,[],[3319])).
% 202.11/202.00 cnf(12810,plain,
% 202.11/202.00 (E(f844(f283(x128101,x128101),f262(x128101,x128102)),x128102)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12812,plain,
% 202.11/202.00 (E(f844(f283(x128121,x128121),f262(x128121,x128122)),x128122)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12817,plain,
% 202.11/202.00 (E(f844(f283(x128171,x128171),f262(x128171,x128172)),x128172)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12819,plain,
% 202.11/202.00 (E(f844(f283(x128191,x128191),f262(x128191,x128192)),x128192)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12821,plain,
% 202.11/202.00 (P13(x128211,f916(x128211,a904),f308(x128211))),
% 202.11/202.00 inference(rename_variables,[],[3423])).
% 202.11/202.00 cnf(12829,plain,
% 202.11/202.00 (P37(x128291,f262(x128291,x128292))),
% 202.11/202.00 inference(rename_variables,[],[3320])).
% 202.11/202.00 cnf(12833,plain,
% 202.11/202.00 (P24(x128331,x128331,f7(x128331),x128332)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12835,plain,
% 202.11/202.00 (P24(x128351,x128351,f7(x128351),x128352)),
% 202.11/202.00 inference(rename_variables,[],[3686])).
% 202.11/202.00 cnf(12842,plain,
% 202.11/202.00 (P51(x128421,x128422,f262(x128421,x128422))),
% 202.11/202.00 inference(rename_variables,[],[3419])).
% 202.11/202.00 cnf(12844,plain,
% 202.11/202.00 (P51(x128441,x128442,f262(x128441,x128442))),
% 202.11/202.00 inference(rename_variables,[],[3419])).
% 202.11/202.00 cnf(12846,plain,
% 202.11/202.00 (P51(x128461,x128462,f262(x128461,x128462))),
% 202.11/202.00 inference(rename_variables,[],[3419])).
% 202.11/202.00 cnf(12863,plain,
% 202.11/202.00 (P53(x128631,x128631,f262(x128631,x128632))),
% 202.11/202.00 inference(rename_variables,[],[3420])).
% 202.11/202.00 cnf(12871,plain,
% 202.11/202.00 (E(f844(f283(x128711,x128711),f262(x128711,x128712)),x128712)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12877,plain,
% 202.11/202.00 (P25(x128771,x128771,f31(x128771),x128772,x128772)),
% 202.11/202.00 inference(rename_variables,[],[4111])).
% 202.11/202.00 cnf(12879,plain,
% 202.11/202.00 (P25(x128791,x128791,f31(x128791),x128792,x128792)),
% 202.11/202.00 inference(rename_variables,[],[4111])).
% 202.11/202.00 cnf(12881,plain,
% 202.11/202.00 (P25(x128811,x128811,f31(x128811),x128812,x128812)),
% 202.11/202.00 inference(rename_variables,[],[4111])).
% 202.11/202.00 cnf(12887,plain,
% 202.11/202.00 (E(f188(f916(f915(x128871,x128871),a904)),f262(x128871,f188(f916(x128871,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3520])).
% 202.11/202.00 cnf(12889,plain,
% 202.11/202.00 (E(f844(f283(x128891,x128891),f262(x128891,x128892)),x128892)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12891,plain,
% 202.11/202.00 (P41(x128911,x128912,x128913,x128914,f188(f916(x128911,a904)),x128914)),
% 202.11/202.00 inference(rename_variables,[],[4387])).
% 202.11/202.00 cnf(12900,plain,
% 202.11/202.00 (P50(x129001,f262(x129001,x129002))),
% 202.11/202.00 inference(rename_variables,[],[3323])).
% 202.11/202.00 cnf(12907,plain,
% 202.11/202.00 (P54(x129071,f188(f916(x129071,a904)),x129072)),
% 202.11/202.00 inference(rename_variables,[],[3468])).
% 202.11/202.00 cnf(12911,plain,
% 202.11/202.00 (E(f844(f283(x129111,x129111),f262(x129111,x129112)),x129112)),
% 202.11/202.00 inference(rename_variables,[],[3410])).
% 202.11/202.00 cnf(12915,plain,
% 202.11/202.00 (P31(x129151,x129152,f113(x129151),f113(x129151))),
% 202.11/202.00 inference(rename_variables,[],[3695])).
% 202.11/202.00 cnf(12917,plain,
% 202.11/202.00 (P31(x129171,x129172,f113(x129171),f113(x129171))),
% 202.11/202.00 inference(rename_variables,[],[3695])).
% 202.11/202.00 cnf(12934,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x129341),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12943,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a1),f844(f100(a1),x129431)),f844(f78(a1),f844(f100(a1),x129432))))),
% 202.11/202.00 inference(rename_variables,[],[4678])).
% 202.11/202.00 cnf(12953,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x129531),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12956,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x129561),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12959,plain,
% 202.11/202.00 (P105(f844(f60(a908),f304(a908,x129591,x129592)))),
% 202.11/202.00 inference(rename_variables,[],[3657])).
% 202.11/202.00 cnf(12962,plain,
% 202.11/202.00 (P105(f844(f60(a908),f304(a908,x129621,x129622)))),
% 202.11/202.00 inference(rename_variables,[],[3657])).
% 202.11/202.00 cnf(12965,plain,
% 202.11/202.00 (P105(f844(f60(a908),f304(a908,x129651,x129652)))),
% 202.11/202.00 inference(rename_variables,[],[3657])).
% 202.11/202.00 cnf(12968,plain,
% 202.11/202.00 (P105(f844(f60(a908),f304(a908,x129681,x129682)))),
% 202.11/202.00 inference(rename_variables,[],[3657])).
% 202.11/202.00 cnf(12975,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),f844(f78(a1),f844(f100(a1),x129751))),f844(f100(a1),x129752)))),
% 202.11/202.00 inference(rename_variables,[],[3929])).
% 202.11/202.00 cnf(12977,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),f2(a1)),f844(f103(a1),f2(a1))))),
% 202.11/202.00 inference(scs_inference,[],[4111,12681,12703,12877,12879,3686,11307,12355,12454,12457,12549,12591,12595,12603,12675,12833,3695,12421,12915,12917,3703,3419,12842,12844,12846,3420,12863,3386,12759,4634,4635,11948,4387,12891,3423,12821,3262,3319,12806,3320,12829,3321,3322,3323,12631,12900,4633,3745,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,12417,12584,12645,3505,3468,12907,3654,12119,3370,4615,10623,10723,11187,3061,3062,3064,3065,3068,3069,3071,3072,3073,3080,3084,3085,3086,3089,3090,3095,3096,3100,3106,3115,3121,3126,3127,3128,3135,3136,3145,3155,3190,3195,3199,3200,3202,3204,3214,3221,3231,4602,3243,3318,4603,3784,4014,11888,3296,11597,3431,3407,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,12329,12525,12735,12789,12799,12801,12810,12812,12817,12819,12871,12889,3381,12616,12620,12624,3387,3396,3906,4213,3516,12678,12762,3286,3648,4000,11643,3504,3347,3282,3309,3764,3305,3412,4120,4008,3827,4277,3293,3294,3272,3919,3329,3506,11034,11161,12418,12635,3380,4085,4624,10450,10620,11492,12576,12617,12621,4631,12588,3440,11968,4043,4667,11213,11312,11548,11551,3846,3553,3770,4645,3520,12793,12795,12887,3344,10523,10853,3345,3607,3337,3263,3366,11633,4227,12606,12747,4087,11233,11364,11423,12560,12566,12692,12695,12725,4685,11136,11377,11486,11512,11556,11562,12504,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,12460,12501,12587,3811,3595,4501,4502,3667,4622,11626,3788,3747,4269,3963,4010,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,12398,3899,11874,3433,3529,11702,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,12507,12610,12934,12953,4673,11745,11776,11811,11818,11854,3886,3655,3657,12959,12962,12965,4035,3476,3478,3452,4657,4619,3837,4149,3639,4674,4220,11509,3769,3489,11989,11992,12425,12529,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,12055,4189,4148,12136,12475,4096,11031,12314,12485,4143,11239,12352,12424,12484,12528,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,12376,12640,12702,12722,12732,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,12468,12532,12651,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,3451,3525,12344,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,12439,12535,12538,12644,12684,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,12583,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,12372,12513,12557,12563,12663,12666,12688,12746,12754,12765,3510,10850,10880,10889,10892,10895,11478,12685,3549,3542,3967,3904,10502,11877,11905,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,3470,10883,11039,11109,11906,12048,12244,12444,3929,11995,4268,4663,3941,3975,4648,4651,4652,3426,3430,4650,4649,4394,3759,4365,11728,4679,10749,10752,4684,11222,11225,11411,11522,11539,11585,4053,11582,11926,11930,12594,12602,3894,11152,11158,11176,12168,12294,12375,3743,11292,11414,12401,12510,12520,12599,12654,12662,4225,3896,10886,11255,11420,11454,11465,12598,3603,3710,10802,10805,10898,11065,3712,4682,11871,4678,12943,4683,10642,10755,11592,12463,12472,12516,12716,4326,11022,12481,12496,4231,3928,3872,3873,4680,10472,10475,10844,10847,11742,11931,4681,11851,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313,8325,8343,8348,8370,8415,8444,8458,8477,8480,8506,8531,8589,8590,8593,8594,8662,8696,8697,8698,8699,8726,8758,8787,8795,8796,8837,8858,8903,8919,8965,8968,8983,8990,9032,9071,9072,9090,9091,9105,9222,9227,9231,9251,9262,9285,9287,9290,9296,9298,9299,9309,9310,9329,9335,9345,9352,9395,9414,9469,9470,9476,9515,9538,9543,9582,9592,9595,9596,9598,9599,9611,9634,9649,9658,9659,9661,9663,9692,9793,9813,9814,9863,9864,9903,9938,10049,10117,10266,10284,10289,3,2789,2790,2791,2793,2794,2799,2804,2805,2807,2808,2809,2811,2812,2822,2832,2834,2835,2836,2837,2839,2842,2844,2849,2850,2851,2852,2853,2856,2857,2858,2859,2865,2866,2867,2871,2873,2874,2875,2876,2877,2878,2882,2883,2885,2886,2889,2890,2891,2893,2898,2906,2907,2910,2911,2912,2913,2914,2915,2916,2917,2921,2931,2934,2935,2936,2945,2953,2954,2970,2971,2993,2994,3007,3022,3024,3027,3029,3030,3031,3032,3052,5411,5452,5599,5600,5601,5683,5782,5812,5846,5862,5864,5870,5932,5933,5934,5935,5952,5987,6119,6157])).
% 202.11/202.00 cnf(12980,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x129801),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(12981,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x129811),x129811))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(12988,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x129881),f844(a112,x129881)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(12990,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),f2(a1)),a82))),
% 202.11/202.00 inference(scs_inference,[],[4111,12681,12703,12877,12879,3686,11307,12355,12454,12457,12549,12591,12595,12603,12675,12833,3695,12421,12915,12917,3703,3419,12842,12844,12846,3420,12863,3386,12759,4634,4635,11948,4387,12891,3423,12821,3262,3319,12806,3320,12829,3321,3322,3323,12631,12900,4633,3745,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,12417,12584,12645,3505,3468,12907,3654,12119,3370,4615,10623,10723,11187,3061,3062,3064,3065,3068,3069,3071,3072,3073,3080,3084,3085,3086,3089,3090,3095,3096,3100,3106,3115,3121,3126,3127,3128,3135,3136,3145,3155,3190,3195,3199,3200,3202,3204,3214,3221,3231,4602,3243,3318,4603,3784,4014,11888,3296,11597,3431,3407,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,12329,12525,12735,12789,12799,12801,12810,12812,12817,12819,12871,12889,3381,12616,12620,12624,3387,3396,3906,4213,3516,12678,12762,3286,3648,4000,11643,3504,3347,3282,3309,3764,3305,3412,4120,4008,3827,4277,3293,3294,3272,3919,3329,3506,11034,11161,12418,12635,3380,4085,4624,10450,10620,11492,12576,12617,12621,4631,12588,3440,11968,4043,4667,11213,11312,11548,11551,3846,3553,3770,4645,3520,12793,12795,12887,3344,10523,10853,3345,3607,3337,3263,3366,11633,4227,12606,12747,4087,11233,11364,11423,12560,12566,12692,12695,12725,4685,11136,11377,11486,11512,11556,11562,12504,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,12460,12501,12587,3811,3595,4501,4502,3667,4622,11626,3788,3747,3790,4269,3963,4010,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,12398,12729,3899,11874,3433,3529,11702,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,12507,12610,12934,12953,12956,4673,11745,11776,11811,11818,11854,3886,3655,3657,12959,12962,12965,4035,3476,3478,3452,4657,3343,4619,3837,4149,3639,4674,4220,11509,3769,3489,11989,11992,12425,12529,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,12055,4189,4148,12136,12475,4096,11031,12314,12485,4143,11239,12352,12424,12484,12528,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,12376,12640,12702,12722,12732,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,12468,12532,12651,12698,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,3451,3525,12344,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,12439,12535,12538,12644,12684,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,12583,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,12372,12513,12557,12563,12663,12666,12688,12746,12754,12765,3510,10850,10880,10889,10892,10895,11478,12685,3549,3542,3967,3904,10502,11877,11905,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,3470,10883,11039,11109,11906,12048,12244,12444,3929,11995,4268,3661,4663,3941,3975,4648,4651,4652,3426,3430,4650,4649,4394,3759,4365,11728,4679,10749,10752,4684,11222,11225,11411,11522,11539,11585,4053,11582,11926,11930,12594,12602,3894,11152,11158,11176,12168,12294,12375,3743,11292,11414,12401,12510,12520,12599,12654,12662,4225,3896,10886,11255,11420,11454,11465,12598,3603,3710,10802,10805,10898,11065,3712,4682,11871,4678,12943,4683,10642,10755,11592,12463,12472,12516,12716,4326,11022,12481,12496,4231,3928,3872,3873,4680,10472,10475,10844,10847,11742,11931,4681,11851,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313,8325,8343,8348,8370,8415,8444,8458,8477,8480,8506,8531,8589,8590,8593,8594,8662,8696,8697,8698,8699,8726,8758,8787,8795,8796,8837,8858,8903,8919,8965,8968,8983,8990,9032,9071,9072,9090,9091,9105,9222,9227,9231,9251,9262,9285,9287,9290,9296,9298,9299,9309,9310,9329,9335,9345,9352,9395,9414,9469,9470,9476,9515,9538,9543,9582,9592,9595,9596,9598,9599,9611,9634,9649,9658,9659,9661,9663,9692,9793,9813,9814,9863,9864,9903,9938,10049,10117,10266,10284,10289,3,2789,2790,2791,2793,2794,2799,2804,2805,2807,2808,2809,2811,2812,2822,2832,2834,2835,2836,2837,2839,2842,2844,2849,2850,2851,2852,2853,2856,2857,2858,2859,2865,2866,2867,2871,2873,2874,2875,2876,2877,2878,2882,2883,2885,2886,2889,2890,2891,2893,2898,2906,2907,2910,2911,2912,2913,2914,2915,2916,2917,2921,2931,2934,2935,2936,2945,2953,2954,2970,2971,2993,2994,3007,3022,3024,3027,3029,3030,3031,3032,3052,5411,5452,5599,5600,5601,5683,5782,5812,5846,5862,5864,5870,5932,5933,5934,5935,5952,5987,6119,6157,6167,6191,6225,6263])).
% 202.11/202.00 cnf(12992,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a1),f2(a1)),f844(f103(a1),f2(a1))))),
% 202.11/202.00 inference(scs_inference,[],[4111,12681,12703,12877,12879,3686,11307,12355,12454,12457,12549,12591,12595,12603,12675,12833,3695,12421,12915,12917,3703,3419,12842,12844,12846,3420,12863,3386,12759,4634,4635,11948,4387,12891,3423,12821,3262,3319,12806,3320,12829,3321,3322,3323,12631,12900,4633,3745,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,12417,12584,12645,3505,3468,12907,3654,12119,3370,4615,10623,10723,11187,3061,3062,3064,3065,3068,3069,3071,3072,3073,3080,3084,3085,3086,3089,3090,3095,3096,3100,3106,3115,3121,3126,3127,3128,3135,3136,3145,3155,3190,3195,3199,3200,3202,3204,3214,3221,3231,4602,3243,3318,4603,3784,4014,11888,3296,11597,3431,3407,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,12329,12525,12735,12789,12799,12801,12810,12812,12817,12819,12871,12889,3381,12616,12620,12624,3387,3396,3906,4213,3516,12678,12762,3286,3648,4000,11643,3504,3347,3282,3309,3764,3305,3412,4120,4008,3827,4277,3293,3294,3272,3919,3329,3506,11034,11161,12418,12635,3380,4085,4624,10450,10620,11492,12576,12617,12621,4631,12588,3440,11968,4043,4667,11213,11312,11548,11551,3846,3553,3770,4645,3520,12793,12795,12887,3344,10523,10853,3345,3607,3337,3263,3366,11633,4227,12606,12747,4087,11233,11364,11423,12560,12566,12692,12695,12725,4685,11136,11377,11486,11512,11556,11562,12504,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,12460,12501,12587,3811,3595,4501,4502,3667,4622,11626,3788,3747,3790,4269,3963,4010,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,12398,12729,3899,11874,3433,3529,11702,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,12507,12610,12934,12953,12956,4673,11745,11776,11811,11818,11854,3886,3655,3657,12959,12962,12965,4035,3476,3478,3452,4657,3343,4619,3837,4149,3639,4674,4220,11509,3769,3489,11989,11992,12425,12529,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,12055,4189,4148,12136,12475,4096,11031,12314,12485,4143,11239,12352,12424,12484,12528,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,12376,12640,12702,12722,12732,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,12468,12532,12651,12698,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,3451,3525,12344,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,12439,12535,12538,12644,12684,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,12583,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,12372,12513,12557,12563,12663,12666,12688,12746,12754,12765,3510,10850,10880,10889,10892,10895,11478,12685,3549,3542,3967,3904,10502,11877,11905,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,3470,10883,11039,11109,11906,12048,12244,12444,3929,11995,4268,3661,4663,3941,3975,4648,4651,4652,3426,3430,4650,4649,4394,3759,4365,11728,4679,10749,10752,4684,11222,11225,11411,11522,11539,11585,4053,11582,11926,11930,12594,12602,3894,11152,11158,11176,12168,12294,12375,3743,11292,11414,12401,12510,12520,12599,12654,12662,4225,3896,10886,11255,11420,11454,11465,12598,3603,3710,10802,10805,10898,11065,3712,4682,11871,4678,12943,4683,10642,10755,11592,12463,12472,12516,12716,4326,11022,12481,12496,4231,3928,3872,3873,4680,10472,10475,10844,10847,11742,11931,4681,11851,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313,8325,8343,8348,8370,8415,8444,8458,8477,8480,8506,8531,8589,8590,8593,8594,8662,8696,8697,8698,8699,8726,8758,8787,8795,8796,8837,8858,8903,8919,8965,8968,8983,8990,9032,9071,9072,9090,9091,9105,9222,9227,9231,9251,9262,9285,9287,9290,9296,9298,9299,9309,9310,9329,9335,9345,9352,9395,9414,9469,9470,9476,9515,9538,9543,9582,9592,9595,9596,9598,9599,9611,9634,9649,9658,9659,9661,9663,9692,9793,9813,9814,9863,9864,9903,9938,10049,10117,10266,10284,10289,3,2789,2790,2791,2793,2794,2799,2804,2805,2807,2808,2809,2811,2812,2822,2832,2834,2835,2836,2837,2839,2842,2844,2849,2850,2851,2852,2853,2856,2857,2858,2859,2865,2866,2867,2871,2873,2874,2875,2876,2877,2878,2882,2883,2885,2886,2889,2890,2891,2893,2898,2906,2907,2910,2911,2912,2913,2914,2915,2916,2917,2921,2931,2934,2935,2936,2945,2953,2954,2970,2971,2993,2994,3007,3022,3024,3027,3029,3030,3031,3032,3052,5411,5452,5599,5600,5601,5683,5782,5812,5846,5862,5864,5870,5932,5933,5934,5935,5952,5987,6119,6157,6167,6191,6225,6263,6414])).
% 202.11/202.00 cnf(12995,plain,
% 202.11/202.00 (P105(f844(f844(f234(a1),x129951),x129951))),
% 202.11/202.00 inference(rename_variables,[],[3450])).
% 202.11/202.00 cnf(12998,plain,
% 202.11/202.00 (P105(f844(f60(a908),f304(a908,x129981,x129982)))),
% 202.11/202.00 inference(rename_variables,[],[3657])).
% 202.11/202.00 cnf(13001,plain,
% 202.11/202.00 (P105(f844(f60(a908),f304(a908,x130011,x130012)))),
% 202.11/202.00 inference(rename_variables,[],[3657])).
% 202.11/202.00 cnf(13004,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x130041),x130041))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(13005,plain,
% 202.11/202.00 (~E(f844(a112,x130051),f2(a908))),
% 202.11/202.00 inference(rename_variables,[],[4615])).
% 202.11/202.00 cnf(13022,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f44(a908,x130221,x130222)),x130221))),
% 202.11/202.00 inference(rename_variables,[],[3904])).
% 202.11/202.00 cnf(13027,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x130271),f844(a112,x130271)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(13030,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x130301),f844(a112,x130301)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(13031,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a908),x130311),f2(a908)))),
% 202.11/202.00 inference(rename_variables,[],[4660])).
% 202.11/202.00 cnf(13040,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a1),f844(f100(a1),x130401)),f2(a1)))),
% 202.11/202.00 inference(rename_variables,[],[4673])).
% 202.11/202.00 cnf(13041,plain,
% 202.11/202.00 (P105(f844(f241(f916(x130411,a904)),x130412))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(13044,plain,
% 202.11/202.00 (~P105(f844(f844(f235(a1),f844(f100(a1),x130441)),f2(a1)))),
% 202.11/202.00 inference(rename_variables,[],[4673])).
% 202.11/202.00 cnf(13045,plain,
% 202.11/202.00 (P105(f844(f241(f916(x130451,a904)),x130452))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(13048,plain,
% 202.11/202.00 (P105(f844(f241(f916(x130481,a904)),x130482))),
% 202.11/202.00 inference(rename_variables,[],[3510])).
% 202.11/202.00 cnf(13059,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x130591),x130592),f188(f916(x130591,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(13060,plain,
% 202.11/202.00 (P105(f844(f60(x130601),f188(f916(x130601,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3525])).
% 202.11/202.00 cnf(13069,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),f2(a908)),x130691))),
% 202.11/202.00 inference(rename_variables,[],[3470])).
% 202.11/202.00 cnf(13072,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x130721),x130722),f188(f916(x130721,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(13075,plain,
% 202.11/202.00 (~P105(f844(f844(f328(x130751),x130752),f188(f916(x130751,a904))))),
% 202.11/202.00 inference(rename_variables,[],[4669])).
% 202.11/202.00 cnf(13083,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x130831),x130831))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(13091,plain,
% 202.11/202.00 (P105(f844(f844(f235(a908),x130911),f844(a112,x130911)))),
% 202.11/202.00 inference(rename_variables,[],[3517])).
% 202.11/202.00 cnf(13094,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x130941),x130941))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(13099,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x130991),x130991))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(13102,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x131021),x131021))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(13105,plain,
% 202.11/202.00 (P105(f844(f844(f234(a908),x131051),x131051))),
% 202.11/202.00 inference(rename_variables,[],[3449])).
% 202.11/202.00 cnf(13108,plain,
% 202.11/202.00 (E(f844(f844(f3(f916(x131081,a904)),f188(f916(x131081,a904))),x131082),f188(f916(x131081,a904)))),
% 202.11/202.00 inference(rename_variables,[],[3715])).
% 202.11/202.00 cnf(13109,plain,
% 202.11/202.00 (P105(f844(f60(x131091),f188(f916(x131091,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3525])).
% 202.11/202.00 cnf(13112,plain,
% 202.11/202.00 (E(f844(f844(f3(f916(x131121,a904)),f188(f916(x131121,a904))),x131122),f188(f916(x131121,a904)))),
% 202.11/202.00 inference(rename_variables,[],[3715])).
% 202.11/202.00 cnf(13113,plain,
% 202.11/202.00 (P105(f844(f60(x131131),f188(f916(x131131,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3525])).
% 202.11/202.00 cnf(13116,plain,
% 202.11/202.00 (E(f844(f844(f3(f916(x131161,a904)),f188(f916(x131161,a904))),x131162),f188(f916(x131161,a904)))),
% 202.11/202.00 inference(rename_variables,[],[3715])).
% 202.11/202.00 cnf(13117,plain,
% 202.11/202.00 (P105(f844(f60(x131171),f188(f916(x131171,a904))))),
% 202.11/202.00 inference(rename_variables,[],[3525])).
% 202.11/202.00 cnf(13120,plain,
% 202.11/202.00 (E(f844(f844(f3(f916(x131201,a904)),f188(f916(x131201,a904))),x131202),f188(f916(x131201,a904)))),
% 202.11/202.01 inference(rename_variables,[],[3715])).
% 202.11/202.01 cnf(13121,plain,
% 202.11/202.01 (P105(f844(f60(x131211),f188(f916(x131211,a904))))),
% 202.11/202.01 inference(rename_variables,[],[3525])).
% 202.11/202.01 cnf(13125,plain,
% 202.11/202.01 (E(f844(f283(x131251,x131251),f262(x131251,x131252)),x131252)),
% 202.11/202.01 inference(rename_variables,[],[3410])).
% 202.11/202.01 cnf(13130,plain,
% 202.11/202.01 (E(f844(f844(f3(f916(x131301,a904)),f188(f916(x131301,a904))),x131302),f188(f916(x131301,a904)))),
% 202.11/202.01 inference(rename_variables,[],[3715])).
% 202.11/202.01 cnf(13131,plain,
% 202.11/202.01 (P105(f844(f60(x131311),f188(f916(x131311,a904))))),
% 202.11/202.01 inference(rename_variables,[],[3525])).
% 202.11/202.01 cnf(13135,plain,
% 202.11/202.01 (P105(f844(f60(x131351),f188(f916(x131351,a904))))),
% 202.11/202.01 inference(rename_variables,[],[3525])).
% 202.11/202.01 cnf(13138,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x131381),x131381))),
% 202.11/202.01 inference(rename_variables,[],[3449])).
% 202.11/202.01 cnf(13142,plain,
% 202.11/202.01 (P105(f844(f844(f234(a1),x131421),x131421))),
% 202.11/202.01 inference(rename_variables,[],[3450])).
% 202.11/202.01 cnf(13151,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x131511),x131511))),
% 202.11/202.01 inference(rename_variables,[],[3449])).
% 202.11/202.01 cnf(13162,plain,
% 202.11/202.01 (P105(f844(f844(f234(a1),x131621),x131621))),
% 202.11/202.01 inference(rename_variables,[],[3450])).
% 202.11/202.01 cnf(13171,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x131711),x131712),f188(f916(x131711,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4669])).
% 202.11/202.01 cnf(13182,plain,
% 202.11/202.01 (P105(f844(f844(f328(x131821),x131822),f241(f916(x131821,a904))))),
% 202.11/202.01 inference(rename_variables,[],[3602])).
% 202.11/202.01 cnf(13183,plain,
% 202.11/202.01 (E(f844(f192(x131831,x131832),x131833),f121(x131831,x131832))),
% 202.11/202.01 inference(rename_variables,[],[3364])).
% 202.11/202.01 cnf(13186,plain,
% 202.11/202.01 (P105(f844(f844(f328(x131861),f844(x131862,x131863)),f844(f309(x131864,x131861,x131862),f241(f916(x131864,a904)))))),
% 202.11/202.01 inference(rename_variables,[],[4053])).
% 202.11/202.01 cnf(13190,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x131901,a904)),x131902),f241(f916(x131901,a904))))),
% 202.11/202.01 inference(rename_variables,[],[3829])).
% 202.11/202.01 cnf(13193,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x131931,a904)),x131932),x131932))),
% 202.11/202.01 inference(rename_variables,[],[3743])).
% 202.11/202.01 cnf(13199,plain,
% 202.11/202.01 (~P105(f844(f844(f235(a908),x131991),f2(a908)))),
% 202.11/202.01 inference(rename_variables,[],[4660])).
% 202.11/202.01 cnf(13200,plain,
% 202.11/202.01 (P105(f844(f844(f234(a1),x132001),x132001))),
% 202.11/202.01 inference(rename_variables,[],[3450])).
% 202.11/202.01 cnf(13204,plain,
% 202.11/202.01 (~P105(f844(f844(f235(a908),x132041),f2(a908)))),
% 202.11/202.01 inference(rename_variables,[],[4660])).
% 202.11/202.01 cnf(13205,plain,
% 202.11/202.01 (P105(f844(f844(f234(a1),x132051),x132051))),
% 202.11/202.01 inference(rename_variables,[],[3450])).
% 202.11/202.01 cnf(13210,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x132101),x132101))),
% 202.11/202.01 inference(rename_variables,[],[3449])).
% 202.11/202.01 cnf(13211,plain,
% 202.11/202.01 (P105(f844(f60(a908),f302(a908,x132111,x132112)))),
% 202.11/202.01 inference(rename_variables,[],[3655])).
% 202.11/202.01 cnf(13218,plain,
% 202.11/202.01 (E(f844(f844(f18(x132181,x132182),x132183),x132184),x132183)),
% 202.11/202.01 inference(rename_variables,[],[3440])).
% 202.11/202.01 cnf(13221,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x132211,a904)),f844(f172(x132211),f176(x132211,x132212,x132213))),f844(f172(x132211),x132212)))),
% 202.11/202.01 inference(rename_variables,[],[4143])).
% 202.11/202.01 cnf(13225,plain,
% 202.11/202.01 (~P105(f844(f844(f235(a908),x132251),f2(a908)))),
% 202.11/202.01 inference(rename_variables,[],[4660])).
% 202.11/202.01 cnf(13226,plain,
% 202.11/202.01 (P105(f844(f844(f234(a1),x132261),x132261))),
% 202.11/202.01 inference(rename_variables,[],[3450])).
% 202.11/202.01 cnf(13230,plain,
% 202.11/202.01 (~P105(f844(f844(f235(a908),x132301),f2(a908)))),
% 202.11/202.01 inference(rename_variables,[],[4660])).
% 202.11/202.01 cnf(13231,plain,
% 202.11/202.01 (P105(f844(f844(f234(a1),x132311),x132311))),
% 202.11/202.01 inference(rename_variables,[],[3450])).
% 202.11/202.01 cnf(13235,plain,
% 202.11/202.01 (~P105(f844(f844(f234(f916(a908,a904)),f302(a908,f844(a112,x132351),f844(a112,x132351))),f302(a908,x132352,x132351)))),
% 202.11/202.01 inference(scs_inference,[],[4111,12681,12703,12877,12879,3686,11307,12355,12454,12457,12549,12591,12595,12603,12675,12833,3695,12421,12915,12917,3703,3419,12842,12844,12846,3420,12863,3386,12759,4634,4635,11948,4387,12891,3423,12821,3262,3319,12806,3320,12829,3321,3322,3323,12631,12900,4633,3745,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,12417,12584,12645,3505,3468,12907,3654,12119,3370,4615,10623,10723,11187,11287,3061,3062,3064,3065,3068,3069,3071,3072,3073,3079,3080,3084,3085,3086,3089,3090,3091,3095,3096,3100,3103,3106,3115,3121,3126,3127,3128,3135,3136,3145,3155,3166,3170,3178,3181,3190,3192,3195,3199,3200,3202,3203,3204,3214,3221,3231,4602,3243,3318,4603,3784,4014,11888,3296,11597,3431,3407,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,12329,12525,12735,12789,12799,12801,12810,12812,12817,12819,12871,12889,12911,3381,12616,12620,12624,3387,3396,3906,4213,3364,13183,3516,12678,12762,3286,3648,4000,11643,3504,3347,3282,3309,3764,3305,3412,4120,4008,3827,4277,3293,3294,3272,3919,3329,3506,11034,11161,12418,12635,3380,4085,4624,10450,10620,11492,12576,12617,12621,4631,12588,3440,11968,11971,4043,4667,11213,11312,11548,11551,3846,3553,3770,4645,3520,12793,12795,12887,3344,10523,10853,3345,3607,3337,3263,3366,11633,4227,12606,12747,4087,11233,11364,11423,12560,12566,12692,12695,12725,4685,11136,11377,11486,11512,11556,11562,12504,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,12460,12501,12587,3811,3595,4501,4502,3667,4622,11626,3788,3747,3790,4269,3963,3715,13108,13112,13116,13120,13130,4010,12451,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,12398,12729,12988,13027,13030,13091,3899,11874,3433,3529,11702,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,12507,12610,12934,12953,12956,12980,13031,13199,13204,13225,4673,11745,11776,11811,11818,11854,13040,13044,3886,3655,13211,3657,12959,12962,12965,12968,12998,4035,3476,3478,3452,4657,3343,4619,3837,4149,3639,4674,4220,11509,3769,3489,11989,11992,12425,12529,12706,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,12055,4189,4148,12136,12475,4096,11031,12314,12485,4143,11239,12352,12424,12484,12528,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,12376,12640,12702,12722,12732,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,12468,12532,12651,12698,12981,13004,13083,13094,13099,13102,13105,13138,13151,13210,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,12239,12995,13142,13162,13200,13205,13226,3451,3525,12344,13060,13109,13113,13117,13121,13131,13135,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,12439,12535,12538,12644,12684,12771,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,12583,12774,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,12372,12513,12557,12563,12663,12666,12688,12746,12754,12765,12781,13059,13072,13075,3510,10850,10880,10889,10892,10895,11478,12685,12699,13041,13045,13048,3549,3542,3967,3904,10502,11877,11905,13022,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,3470,10883,11039,11109,11906,12048,12244,12444,12469,3929,11995,12975,4268,3661,4663,3941,3975,4648,4651,4652,3426,3430,4650,4649,4394,3759,4365,11728,4679,10749,10752,4684,11222,11225,11411,11522,11539,11585,4053,11582,11926,11930,12594,12602,12691,3894,11152,11158,11176,12168,12294,12375,3743,11292,11414,12401,12510,12520,12599,12654,12662,12778,4225,3896,10886,11255,11420,11454,11465,12598,3603,3710,10802,10805,10898,11065,3712,4682,11871,4678,12943,4683,10642,10755,11592,12463,12472,12516,12716,4326,11022,12481,12496,4231,3928,12784,3872,3873,4680,10472,10475,10844,10847,11742,11931,12728,4681,11851,11936,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313,8325,8343,8348,8370,8415,8444,8458,8477,8480,8506,8531,8589,8590,8593,8594,8662,8696,8697,8698,8699,8726,8758,8787,8795,8796,8837,8858,8903,8919,8965,8968,8983,8990,9032,9071,9072,9090,9091,9105,9222,9227,9231,9251,9262,9285,9287,9290,9296,9298,9299,9309,9310,9329,9335,9345,9352,9395,9414,9469,9470,9476,9515,9538,9543,9582,9592,9595,9596,9598,9599,9611,9634,9649,9658,9659,9661,9663,9692,9793,9813,9814,9863,9864,9903,9938,10049,10117,10266,10284,10289,3,2789,2790,2791,2793,2794,2799,2804,2805,2807,2808,2809,2811,2812,2822,2832,2834,2835,2836,2837,2839,2842,2844,2849,2850,2851,2852,2853,2856,2857,2858,2859,2865,2866,2867,2871,2873,2874,2875,2876,2877,2878,2882,2883,2885,2886,2889,2890,2891,2893,2898,2906,2907,2910,2911,2912,2913,2914,2915,2916,2917,2921,2931,2934,2935,2936,2945,2953,2954,2970,2971,2993,2994,3007,3022,3024,3027,3029,3030,3031,3032,3052,5411,5452,5599,5600,5601,5683,5782,5812,5846,5862,5864,5870,5932,5933,5934,5935,5952,5987,6119,6157,6167,6191,6225,6263,6414,6419,6458,6459,6482,6484,6486,6493,6494,6495,6496,6497,6498,6499,6500,6580,6651,6652,6741,6779,6780,6819,6820,6960,6974,7045,7046,7052,7073,7106,7108,7112,7149,7157,7177,7178,7196,7197,7234,7279,7280,7376,7447,7448,7449,7450,7467,7499,7551,7552,7561,7566,7567,7578,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7967,7973,7974,7984,8022,8023,8100,8140,8194,8216,8217,8289,8383,8454,8455,8459,8492,8553,8554,8621,8638])).
% 202.11/202.01 cnf(13236,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x132361),x132361))),
% 202.11/202.01 inference(rename_variables,[],[3449])).
% 202.11/202.01 cnf(13238,plain,
% 202.11/202.01 (~P105(f844(f844(f235(f916(a908,a904)),f302(a908,f844(a112,x132381),f844(a112,x132381))),f302(a908,x132382,x132381)))),
% 202.11/202.01 inference(scs_inference,[],[4111,12681,12703,12877,12879,3686,11307,12355,12454,12457,12549,12591,12595,12603,12675,12833,3695,12421,12915,12917,3703,3419,12842,12844,12846,3420,12863,3386,12759,4634,4635,11948,4387,12891,3423,12821,3262,3319,12806,3320,12829,3321,3322,3323,12631,12900,4633,3745,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,12417,12584,12645,3505,3468,12907,3654,12119,3370,4615,10623,10723,11187,11287,3061,3062,3064,3065,3068,3069,3071,3072,3073,3079,3080,3084,3085,3086,3089,3090,3091,3095,3096,3100,3103,3106,3115,3121,3126,3127,3128,3135,3136,3145,3155,3166,3170,3178,3181,3190,3192,3195,3199,3200,3202,3203,3204,3214,3221,3231,4602,3243,3318,4603,3784,4014,11888,3296,11597,3431,3407,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,12329,12525,12735,12789,12799,12801,12810,12812,12817,12819,12871,12889,12911,3381,12616,12620,12624,3387,3396,3906,4213,3364,13183,3516,12678,12762,3286,3648,4000,11643,3504,3347,3282,3309,3764,3305,3412,4120,4008,3827,4277,3293,3294,3272,3919,3329,3506,11034,11161,12418,12635,3380,4085,4624,10450,10620,11492,12576,12617,12621,4631,12588,3440,11968,11971,4043,4667,11213,11312,11548,11551,3846,3553,3770,4645,3520,12793,12795,12887,3344,10523,10853,3345,3607,3337,3263,3366,11633,4227,12606,12747,4087,11233,11364,11423,12560,12566,12692,12695,12725,4685,11136,11377,11486,11512,11556,11562,12504,4686,11266,11380,11489,4687,11383,4688,11441,4689,3365,3646,12460,12501,12587,3811,3595,4501,4502,3667,4622,11626,3788,3747,3790,4269,3963,3715,13108,13112,13116,13120,13130,4010,12451,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,12398,12729,12988,13027,13030,13091,3899,11874,3433,3529,11702,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,12507,12610,12934,12953,12956,12980,13031,13199,13204,13225,4673,11745,11776,11811,11818,11854,13040,13044,3886,3655,13211,3657,12959,12962,12965,12968,12998,4035,3476,3478,3452,4657,3343,4619,3837,4149,3639,4674,4220,11509,3769,3489,11989,11992,12425,12529,12706,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,12055,4189,4148,12136,12475,4096,11031,12314,12485,4143,11239,12352,12424,12484,12528,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,12376,12640,12702,12722,12732,4677,10982,11388,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,12468,12532,12651,12698,12981,13004,13083,13094,13099,13102,13105,13138,13151,13210,13236,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,12239,12995,13142,13162,13200,13205,13226,3451,3525,12344,13060,13109,13113,13117,13121,13131,13135,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,12439,12535,12538,12644,12684,12771,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,12583,12774,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,12372,12513,12557,12563,12663,12666,12688,12746,12754,12765,12781,13059,13072,13075,3510,10850,10880,10889,10892,10895,11478,12685,12699,13041,13045,13048,3549,3542,3967,3904,10502,11877,11905,13022,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,3470,10883,11039,11109,11906,12048,12244,12444,12469,3929,11995,12975,4268,3661,4663,3941,3975,4648,4651,4652,3426,3430,4650,4649,4394,3759,4365,11728,4679,10749,10752,4684,11222,11225,11411,11522,11539,11585,4053,11582,11926,11930,12594,12602,12691,3894,11152,11158,11176,12168,12294,12375,3743,11292,11414,12401,12510,12520,12599,12654,12662,12778,4225,3896,10886,11255,11420,11454,11465,12598,3603,3710,10802,10805,10898,11065,3712,4682,11871,4678,12943,4683,10642,10755,11592,12463,12472,12516,12716,4326,11022,12481,12496,4231,3928,12784,3872,3873,4680,10472,10475,10844,10847,11742,11931,12728,4681,11851,11936,3897,10808,11071,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313,8325,8343,8348,8370,8415,8444,8458,8477,8480,8506,8531,8589,8590,8593,8594,8662,8696,8697,8698,8699,8726,8758,8787,8795,8796,8837,8858,8903,8919,8965,8968,8983,8990,9032,9071,9072,9090,9091,9105,9222,9227,9231,9251,9262,9285,9287,9290,9296,9298,9299,9309,9310,9329,9335,9345,9352,9395,9414,9469,9470,9476,9515,9538,9543,9582,9592,9595,9596,9598,9599,9611,9634,9649,9658,9659,9661,9663,9692,9793,9813,9814,9863,9864,9903,9938,10049,10117,10266,10284,10289,3,2789,2790,2791,2793,2794,2799,2804,2805,2807,2808,2809,2811,2812,2822,2832,2834,2835,2836,2837,2839,2842,2844,2849,2850,2851,2852,2853,2856,2857,2858,2859,2865,2866,2867,2871,2873,2874,2875,2876,2877,2878,2882,2883,2885,2886,2889,2890,2891,2893,2898,2906,2907,2910,2911,2912,2913,2914,2915,2916,2917,2921,2931,2934,2935,2936,2945,2953,2954,2970,2971,2993,2994,3007,3022,3024,3027,3029,3030,3031,3032,3052,5411,5452,5599,5600,5601,5683,5782,5812,5846,5862,5864,5870,5932,5933,5934,5935,5952,5987,6119,6157,6167,6191,6225,6263,6414,6419,6458,6459,6482,6484,6486,6493,6494,6495,6496,6497,6498,6499,6500,6580,6651,6652,6741,6779,6780,6819,6820,6960,6974,7045,7046,7052,7073,7106,7108,7112,7149,7157,7177,7178,7196,7197,7234,7279,7280,7376,7447,7448,7449,7450,7467,7499,7551,7552,7561,7566,7567,7578,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7967,7973,7974,7984,8022,8023,8100,8140,8194,8216,8217,8289,8383,8454,8455,8459,8492,8553,8554,8621,8638,8639])).
% 202.11/202.01 cnf(13239,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x132391),x132391))),
% 202.11/202.01 inference(rename_variables,[],[3449])).
% 202.11/202.01 cnf(13242,plain,
% 202.11/202.01 (~P105(f844(f844(f234(a908),f844(a112,x132421)),x132421))),
% 202.11/202.01 inference(rename_variables,[],[4666])).
% 202.11/202.01 cnf(13248,plain,
% 202.11/202.01 (P105(f844(f844(f328(x132481),f844(x132482,x132483)),f844(f309(x132484,x132481,x132482),f241(f916(x132484,a904)))))),
% 202.11/202.01 inference(rename_variables,[],[4053])).
% 202.11/202.01 cnf(13249,plain,
% 202.11/202.01 (P24(x132491,x132491,f7(x132491),x132492)),
% 202.11/202.01 inference(rename_variables,[],[3686])).
% 202.11/202.01 cnf(13254,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x132541,a904)),x132542),f241(f916(x132541,a904))))),
% 202.11/202.01 inference(rename_variables,[],[3829])).
% 202.11/202.01 cnf(13255,plain,
% 202.11/202.01 (P24(x132551,x132551,f7(x132551),x132552)),
% 202.11/202.01 inference(rename_variables,[],[3686])).
% 202.11/202.01 cnf(13259,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x132591,a904)),x132592),f241(f916(x132591,a904))))),
% 202.11/202.01 inference(rename_variables,[],[3829])).
% 202.11/202.01 cnf(13260,plain,
% 202.11/202.01 (P24(x132601,x132601,f7(x132601),x132602)),
% 202.11/202.01 inference(rename_variables,[],[3686])).
% 202.11/202.01 cnf(13264,plain,
% 202.11/202.01 (P24(x132641,x132641,f7(x132641),x132642)),
% 202.11/202.01 inference(rename_variables,[],[3686])).
% 202.11/202.01 cnf(13267,plain,
% 202.11/202.01 (~P105(f844(f844(f235(f916(x132671,a904)),x132672),f188(f916(x132671,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4677])).
% 202.11/202.01 cnf(13270,plain,
% 202.11/202.01 (P24(x132701,x132701,f7(x132701),x132702)),
% 202.11/202.01 inference(rename_variables,[],[3686])).
% 202.11/202.01 cnf(13273,plain,
% 202.11/202.01 (P24(x132731,x132731,f7(x132731),x132732)),
% 202.11/202.01 inference(rename_variables,[],[3686])).
% 202.11/202.01 cnf(13279,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x132791,a904)),x132792),f241(f916(x132791,a904))))),
% 202.11/202.01 inference(rename_variables,[],[3829])).
% 202.11/202.01 cnf(13284,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x132841,a904)),f188(f916(x132841,a904))),x132842))),
% 202.11/202.01 inference(rename_variables,[],[3896])).
% 202.11/202.01 cnf(13288,plain,
% 202.11/202.01 (E(f844(f283(x132881,x132881),f262(x132881,x132882)),x132882)),
% 202.11/202.01 inference(rename_variables,[],[3410])).
% 202.11/202.01 cnf(13292,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x132921),x132922),f188(f916(x132921,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4669])).
% 202.11/202.01 cnf(13297,plain,
% 202.11/202.01 (P24(x132971,x132971,f7(x132971),x132972)),
% 202.11/202.01 inference(rename_variables,[],[3686])).
% 202.11/202.01 cnf(13300,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x133001,a904)),x133002),f241(f916(x133001,a904))))),
% 202.11/202.01 inference(rename_variables,[],[3829])).
% 202.11/202.01 cnf(13308,plain,
% 202.11/202.01 (E(f844(f844(f18(x133081,x133082),x133083),x133084),x133083)),
% 202.11/202.01 inference(rename_variables,[],[3440])).
% 202.11/202.01 cnf(13311,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x133111),x133112),f188(f916(x133111,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4669])).
% 202.11/202.01 cnf(13314,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x133141),x133142),f188(f916(x133141,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4669])).
% 202.11/202.01 cnf(13317,plain,
% 202.11/202.01 (P105(f844(f844(f235(a908),x133171),f844(a112,x133171)))),
% 202.11/202.01 inference(rename_variables,[],[3517])).
% 202.11/202.01 cnf(13318,plain,
% 202.11/202.01 (~E(f844(a112,x133181),x133181)),
% 202.11/202.01 inference(rename_variables,[],[4605])).
% 202.11/202.01 cnf(13321,plain,
% 202.11/202.01 (P105(f844(f844(f235(a908),x133211),f844(a112,f844(f844(f79(a908),x133212),x133211))))),
% 202.11/202.01 inference(rename_variables,[],[3897])).
% 202.11/202.01 cnf(13322,plain,
% 202.11/202.01 (P105(f844(f844(f235(a908),x133221),f844(a112,x133221)))),
% 202.11/202.01 inference(rename_variables,[],[3517])).
% 202.11/202.01 cnf(13331,plain,
% 202.11/202.01 (P105(f844(f844(f234(a1),f2(a1)),f844(f100(a1),x133311)))),
% 202.11/202.01 inference(rename_variables,[],[3549])).
% 202.11/202.01 cnf(13334,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),f2(a908)),x133341))),
% 202.11/202.01 inference(rename_variables,[],[3470])).
% 202.11/202.01 cnf(13338,plain,
% 202.11/202.01 (~E(f844(a112,x133381),f2(a908))),
% 202.11/202.01 inference(rename_variables,[],[4615])).
% 202.11/202.01 cnf(13341,plain,
% 202.11/202.01 (P105(f844(f844(f234(a1),x133411),x133411))),
% 202.11/202.01 inference(rename_variables,[],[3450])).
% 202.11/202.01 cnf(13347,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x133471),x133472),f188(f916(x133471,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4669])).
% 202.11/202.01 cnf(13350,plain,
% 202.11/202.01 (P105(f844(f60(a908),f304(a908,x133501,x133502)))),
% 202.11/202.01 inference(rename_variables,[],[3657])).
% 202.11/202.01 cnf(13351,plain,
% 202.11/202.01 (E(f844(f844(f232(a908),f844(a112,x133511)),f844(a112,x133512)),f844(a112,f844(f844(f232(a908),x133511),x133512)))),
% 202.11/202.01 inference(rename_variables,[],[3620])).
% 202.11/202.01 cnf(13354,plain,
% 202.11/202.01 (P105(f844(f60(a908),f304(a908,x133541,x133542)))),
% 202.11/202.01 inference(rename_variables,[],[3657])).
% 202.11/202.01 cnf(13355,plain,
% 202.11/202.01 (E(f844(f844(f233(a908),f844(a112,x133551)),f844(a112,x133552)),f844(a112,f844(f844(f233(a908),x133551),x133552)))),
% 202.11/202.01 inference(rename_variables,[],[3621])).
% 202.11/202.01 cnf(13358,plain,
% 202.11/202.01 (P105(f844(f60(a908),f304(a908,x133581,x133582)))),
% 202.11/202.01 inference(rename_variables,[],[3657])).
% 202.11/202.01 cnf(13367,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x133671),x133672),f188(f916(x133671,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4669])).
% 202.11/202.01 cnf(13368,plain,
% 202.11/202.01 (E(f844(f844(f18(x133681,x133682),x133683),x133684),x133683)),
% 202.11/202.01 inference(rename_variables,[],[3440])).
% 202.11/202.01 cnf(13371,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x133711,a904)),f844(f172(x133711),f844(f136(x133711,x133712),x133713))),f844(f172(x133711),x133713)))),
% 202.11/202.01 inference(rename_variables,[],[4096])).
% 202.11/202.01 cnf(13372,plain,
% 202.11/202.01 (E(f844(f844(f18(x133721,x133722),x133723),x133724),x133723)),
% 202.11/202.01 inference(rename_variables,[],[3440])).
% 202.11/202.01 cnf(13375,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x133751,a904)),f844(f172(x133751),f844(f844(f175(x133751),x133752),x133753))),f844(f172(x133751),x133753)))),
% 202.11/202.01 inference(rename_variables,[],[4138])).
% 202.11/202.01 cnf(13376,plain,
% 202.11/202.01 (E(f844(f844(f18(x133761,x133762),x133763),x133764),x133763)),
% 202.11/202.01 inference(rename_variables,[],[3440])).
% 202.11/202.01 cnf(13380,plain,
% 202.11/202.01 (E(f844(f844(f18(x133801,x133802),x133803),x133804),x133803)),
% 202.11/202.01 inference(rename_variables,[],[3440])).
% 202.11/202.01 cnf(13393,plain,
% 202.11/202.01 (P105(f844(f844(f234(a1),f2(a1)),f844(f100(a1),x133931)))),
% 202.11/202.01 inference(rename_variables,[],[3549])).
% 202.11/202.01 cnf(13398,plain,
% 202.11/202.01 (P24(x133981,x133981,f7(x133981),x133982)),
% 202.11/202.01 inference(rename_variables,[],[3686])).
% 202.11/202.01 cnf(13401,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x134011),x134012),f188(f916(x134011,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4669])).
% 202.11/202.01 cnf(13402,plain,
% 202.11/202.01 (E(f844(f283(x134021,x134021),f262(x134021,x134022)),x134022)),
% 202.11/202.01 inference(rename_variables,[],[3410])).
% 202.11/202.01 cnf(13403,plain,
% 202.11/202.01 (P24(x134031,x134031,f7(x134031),x134032)),
% 202.11/202.01 inference(rename_variables,[],[3686])).
% 202.11/202.01 cnf(13407,plain,
% 202.11/202.01 (E(f844(f283(x134071,x134071),f262(x134071,x134072)),x134072)),
% 202.11/202.01 inference(rename_variables,[],[3410])).
% 202.11/202.01 cnf(13412,plain,
% 202.11/202.01 (P105(f844(f844(f235(f916(a1,a904)),f302(a1,f77(a1),f2(a1))),f302(a1,f2(a1),f77(a1))))),
% 202.11/202.01 inference(scs_inference,[],[4111,12681,12703,12877,12879,12881,3686,11307,12355,12454,12457,12549,12591,12595,12603,12675,12833,12835,13249,13255,13260,13264,13270,13273,13297,13398,13403,3695,12421,12915,12917,3703,3419,12842,12844,12846,3420,12863,3386,12759,4634,4635,11948,4387,12891,3423,12821,3262,3319,12806,3320,12829,3321,3322,3323,12631,12900,4633,3745,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,12417,12584,12645,12787,13318,3505,3468,12907,3654,12119,3370,4615,10623,10723,11187,11287,13005,3061,3062,3064,3065,3068,3069,3071,3072,3073,3079,3080,3084,3085,3086,3089,3090,3091,3095,3096,3100,3103,3106,3115,3121,3123,3126,3127,3128,3135,3136,3145,3155,3160,3166,3167,3170,3178,3181,3190,3192,3195,3199,3200,3202,3203,3204,3214,3221,3231,4602,3243,3318,4603,3784,4014,11888,3296,11597,3431,3407,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,12329,12525,12735,12789,12799,12801,12810,12812,12817,12819,12871,12889,12911,13125,13288,13402,3381,12616,12620,12624,3387,3396,3906,4213,3364,13183,3516,12678,12762,3285,3286,3648,4000,11643,3504,3347,3282,3309,3764,3305,3412,4120,4008,3827,4277,3293,3294,3272,3919,3329,3506,11034,11161,12418,12635,3380,4085,4624,10450,10620,11492,12576,12617,12621,4631,12588,3440,11968,11971,13218,13308,13368,13372,13376,13380,4043,4667,11213,11312,11548,11551,3846,3437,3553,3770,3545,4645,3520,12793,12795,12887,3344,10523,10853,3345,4654,3607,3337,3263,3366,11633,4227,12606,12747,4087,11233,11364,11423,12560,12566,12692,12695,12725,4685,11136,11377,11486,11512,11556,11562,12504,4686,11266,11380,11489,4687,11383,11434,4688,11441,4689,3365,3646,12460,12501,12587,3811,3595,4501,4502,3667,4622,11626,3788,3747,3790,4269,3963,3715,13108,13112,13116,13120,13130,4010,12451,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,12398,12729,12988,13027,13030,13091,13317,3899,11874,3433,3529,11702,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,12507,12610,12934,12953,12956,12980,13031,13199,13204,13225,4673,11745,11776,11811,11818,11854,13040,13044,3886,3655,13211,3657,12959,12962,12965,12968,12998,13001,13350,13354,13358,3658,4035,3620,13351,3621,13355,3476,3478,3452,4657,3343,4619,3837,4149,3639,4674,4220,11509,3769,3489,11989,11992,12425,12529,12706,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,12055,4189,4148,12136,12475,4096,11031,12314,12485,12634,13371,4138,13375,4143,11239,12352,12424,12484,12528,13221,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,12376,12640,12702,12722,12732,13190,13254,13259,13279,13300,4677,10982,11388,12488,13267,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,12468,12532,12651,12698,12981,13004,13083,13094,13099,13102,13105,13138,13151,13210,13236,13239,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,12239,12995,13142,13162,13200,13205,13226,13231,3451,3525,12344,13060,13109,13113,13117,13121,13131,13135,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,12439,12535,12538,12644,12684,12771,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,12583,12774,13182,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,12372,12513,12557,12563,12663,12666,12688,12746,12754,12765,12781,13059,13072,13075,13171,13292,13311,13314,13347,13367,13401,3510,10850,10880,10889,10892,10895,11478,12685,12699,13041,13045,13048,3549,13331,3542,3967,3904,10502,11877,11905,13022,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,13242,3470,10883,11039,11109,11906,12048,12244,12444,12469,13069,3929,11995,12975,4268,3661,4663,3941,3975,4648,4651,4652,3426,3430,4650,4649,4394,4438,3759,11870,4365,11728,4679,10749,10752,4684,11222,11225,11411,11522,11539,11585,4053,11582,11926,11930,12594,12602,12691,13186,13248,3894,11152,11158,11176,12168,12294,12375,12659,3743,11292,11414,12401,12510,12520,12599,12654,12662,12778,13193,4225,3896,10886,11255,11420,11454,11465,12598,12648,13284,3603,3710,10802,10805,10898,11065,3712,4682,11871,4678,12943,4683,10642,10755,11592,12463,12472,12516,12716,4326,11022,12481,12496,12519,4231,3928,12784,3872,3873,4680,10472,10475,10844,10847,11742,11931,12728,4681,11851,11936,3897,10808,11071,12062,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313,8325,8343,8348,8370,8415,8444,8458,8477,8480,8506,8531,8589,8590,8593,8594,8662,8696,8697,8698,8699,8726,8758,8787,8795,8796,8837,8858,8903,8919,8965,8968,8983,8990,9032,9071,9072,9090,9091,9105,9222,9227,9231,9251,9262,9285,9287,9290,9296,9298,9299,9309,9310,9329,9335,9345,9352,9395,9414,9469,9470,9476,9515,9538,9543,9582,9592,9595,9596,9598,9599,9611,9634,9649,9658,9659,9661,9663,9692,9793,9813,9814,9863,9864,9903,9938,10049,10117,10266,10284,10289,3,2789,2790,2791,2793,2794,2799,2804,2805,2807,2808,2809,2811,2812,2822,2832,2834,2835,2836,2837,2839,2842,2844,2849,2850,2851,2852,2853,2856,2857,2858,2859,2865,2866,2867,2871,2873,2874,2875,2876,2877,2878,2882,2883,2885,2886,2889,2890,2891,2893,2898,2906,2907,2910,2911,2912,2913,2914,2915,2916,2917,2921,2931,2934,2935,2936,2945,2953,2954,2970,2971,2993,2994,3007,3022,3024,3027,3029,3030,3031,3032,3052,5411,5452,5599,5600,5601,5683,5782,5812,5846,5862,5864,5870,5932,5933,5934,5935,5952,5987,6119,6157,6167,6191,6225,6263,6414,6419,6458,6459,6482,6484,6486,6493,6494,6495,6496,6497,6498,6499,6500,6580,6651,6652,6741,6779,6780,6819,6820,6960,6974,7045,7046,7052,7073,7106,7108,7112,7149,7157,7177,7178,7196,7197,7234,7279,7280,7376,7447,7448,7449,7450,7467,7499,7551,7552,7561,7566,7567,7578,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7967,7973,7974,7984,8022,8023,8100,8140,8194,8216,8217,8289,8383,8454,8455,8459,8492,8553,8554,8621,8638,8639,8640,8641,8791,9049,9050,9119,9133,9186,9187,9306,9338,9365,9398,9439,9632,9755,9898,10086,10142,10144,6564,6565,6654,6674,6675,7097,7315,8439,8712,8959,9144,9145,9213,9214,9392,9487,9488,9489,9490,9695,9961,9975,10340,10341,6636,8545])).
% 202.11/202.01 cnf(13414,plain,
% 202.11/202.01 (P105(f844(f844(f235(f916(a1,a904)),f302(a1,f2(a1),f2(a1))),f302(a1,f844(f78(a1),f844(f100(a1),f844(a112,x134141))),f2(a1))))),
% 202.11/202.01 inference(scs_inference,[],[4111,12681,12703,12877,12879,12881,3686,11307,12355,12454,12457,12549,12591,12595,12603,12675,12833,12835,13249,13255,13260,13264,13270,13273,13297,13398,13403,3695,12421,12915,12917,3703,3419,12842,12844,12846,3420,12863,3386,12759,4634,4635,11948,4387,12891,3423,12821,3262,3319,12806,3320,12829,3321,3322,3323,12631,12900,4633,3745,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,12417,12584,12645,12787,13318,3505,3468,12907,3654,12119,3370,4615,10623,10723,11187,11287,13005,3061,3062,3064,3065,3068,3069,3071,3072,3073,3079,3080,3084,3085,3086,3089,3090,3091,3095,3096,3100,3103,3106,3115,3121,3123,3126,3127,3128,3135,3136,3145,3155,3160,3166,3167,3170,3178,3181,3190,3192,3195,3199,3200,3202,3203,3204,3214,3221,3231,4602,3243,3318,4603,3784,4014,11888,3296,11597,3431,3407,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,12329,12525,12735,12789,12799,12801,12810,12812,12817,12819,12871,12889,12911,13125,13288,13402,3381,12616,12620,12624,3387,3396,3906,4213,3364,13183,3516,12678,12762,3285,3286,3648,4000,11643,3504,3347,3282,3309,3764,3305,3412,4120,4008,3827,4277,3293,3294,3272,3919,3329,3506,11034,11161,12418,12635,3380,4085,4624,10450,10620,11492,12576,12617,12621,4631,12588,3440,11968,11971,13218,13308,13368,13372,13376,13380,4043,4667,11213,11312,11548,11551,3846,3437,3553,3770,3545,4645,3520,12793,12795,12887,3344,10523,10853,3345,4654,3607,3337,3263,3366,11633,4227,12606,12747,4087,11233,11364,11423,12560,12566,12692,12695,12725,4685,11136,11377,11486,11512,11556,11562,12504,4686,11266,11380,11489,4687,11383,11434,4688,11441,4689,3365,3646,12460,12501,12587,3811,3595,4501,4502,3667,4622,11626,3788,3747,3790,4269,3963,3715,13108,13112,13116,13120,13130,4010,12451,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,12398,12729,12988,13027,13030,13091,13317,3899,11874,3433,3529,11702,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,12507,12610,12934,12953,12956,12980,13031,13199,13204,13225,4673,11745,11776,11811,11818,11854,13040,13044,3886,3655,13211,3657,12959,12962,12965,12968,12998,13001,13350,13354,13358,3658,4035,3620,13351,3621,13355,3476,3478,3452,4657,3343,4619,3837,4149,3639,4674,4220,11509,3769,3489,11989,11992,12425,12529,12706,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,12055,4189,4148,12136,12475,4096,11031,12314,12485,12634,13371,4138,13375,4143,11239,12352,12424,12484,12528,13221,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,12376,12640,12702,12722,12732,13190,13254,13259,13279,13300,4677,10982,11388,12488,13267,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,12468,12532,12651,12698,12981,13004,13083,13094,13099,13102,13105,13138,13151,13210,13236,13239,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,12239,12995,13142,13162,13200,13205,13226,13231,13341,3451,3525,12344,13060,13109,13113,13117,13121,13131,13135,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,12439,12535,12538,12644,12684,12771,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,12583,12774,13182,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,12372,12513,12557,12563,12663,12666,12688,12746,12754,12765,12781,13059,13072,13075,13171,13292,13311,13314,13347,13367,13401,3510,10850,10880,10889,10892,10895,11478,12685,12699,13041,13045,13048,3549,13331,3542,3967,3904,10502,11877,11905,13022,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,13242,3470,10883,11039,11109,11906,12048,12244,12444,12469,13069,3929,11995,12975,4268,3661,4663,3941,3975,4648,4651,4652,3426,3430,4650,4649,4394,4438,3759,11870,4365,11728,4679,10749,10752,4684,11222,11225,11411,11522,11539,11585,4053,11582,11926,11930,12594,12602,12691,13186,13248,3894,11152,11158,11176,12168,12294,12375,12659,3743,11292,11414,12401,12510,12520,12599,12654,12662,12778,13193,4225,3896,10886,11255,11420,11454,11465,12598,12648,13284,3603,3710,10802,10805,10898,11065,3712,4682,11871,4678,12943,4683,10642,10755,11592,12463,12472,12516,12716,4326,11022,12481,12496,12519,4231,3928,12784,3872,3873,4680,10472,10475,10844,10847,11742,11931,12728,4681,11851,11936,3897,10808,11071,12062,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313,8325,8343,8348,8370,8415,8444,8458,8477,8480,8506,8531,8589,8590,8593,8594,8662,8696,8697,8698,8699,8726,8758,8787,8795,8796,8837,8858,8903,8919,8965,8968,8983,8990,9032,9071,9072,9090,9091,9105,9222,9227,9231,9251,9262,9285,9287,9290,9296,9298,9299,9309,9310,9329,9335,9345,9352,9395,9414,9469,9470,9476,9515,9538,9543,9582,9592,9595,9596,9598,9599,9611,9634,9649,9658,9659,9661,9663,9692,9793,9813,9814,9863,9864,9903,9938,10049,10117,10266,10284,10289,3,2789,2790,2791,2793,2794,2799,2804,2805,2807,2808,2809,2811,2812,2822,2832,2834,2835,2836,2837,2839,2842,2844,2849,2850,2851,2852,2853,2856,2857,2858,2859,2865,2866,2867,2871,2873,2874,2875,2876,2877,2878,2882,2883,2885,2886,2889,2890,2891,2893,2898,2906,2907,2910,2911,2912,2913,2914,2915,2916,2917,2921,2931,2934,2935,2936,2945,2953,2954,2970,2971,2993,2994,3007,3022,3024,3027,3029,3030,3031,3032,3052,5411,5452,5599,5600,5601,5683,5782,5812,5846,5862,5864,5870,5932,5933,5934,5935,5952,5987,6119,6157,6167,6191,6225,6263,6414,6419,6458,6459,6482,6484,6486,6493,6494,6495,6496,6497,6498,6499,6500,6580,6651,6652,6741,6779,6780,6819,6820,6960,6974,7045,7046,7052,7073,7106,7108,7112,7149,7157,7177,7178,7196,7197,7234,7279,7280,7376,7447,7448,7449,7450,7467,7499,7551,7552,7561,7566,7567,7578,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7967,7973,7974,7984,8022,8023,8100,8140,8194,8216,8217,8289,8383,8454,8455,8459,8492,8553,8554,8621,8638,8639,8640,8641,8791,9049,9050,9119,9133,9186,9187,9306,9338,9365,9398,9439,9632,9755,9898,10086,10142,10144,6564,6565,6654,6674,6675,7097,7315,8439,8712,8959,9144,9145,9213,9214,9392,9487,9488,9489,9490,9695,9961,9975,10340,10341,6636,8545,8546])).
% 202.11/202.01 cnf(13421,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),f2(a908)),x134211))),
% 202.11/202.01 inference(rename_variables,[],[3470])).
% 202.11/202.01 cnf(13422,plain,
% 202.11/202.01 (P105(f844(f844(f235(a908),f2(a908)),f844(a112,x134221)))),
% 202.11/202.01 inference(rename_variables,[],[3529])).
% 202.11/202.01 cnf(13423,plain,
% 202.11/202.01 (E(f844(f283(x134231,x134231),f262(x134231,x134232)),x134232)),
% 202.11/202.01 inference(rename_variables,[],[3410])).
% 202.11/202.01 cnf(13506,plain,
% 202.11/202.01 (P105(f844(f844(f235(a1),f2(a1)),f844(f75(a1),f77(a1))))),
% 202.11/202.01 inference(scs_inference,[],[4111,12681,12703,12877,12879,12881,3686,11307,12355,12454,12457,12549,12591,12595,12603,12675,12833,12835,13249,13255,13260,13264,13270,13273,13297,13398,13403,3695,12421,12915,12917,3703,3419,12842,12844,12846,3420,12863,3386,12759,4634,4635,11948,4387,12891,3423,12821,3262,3319,12806,3320,12829,3321,3322,3323,12631,12900,4633,3745,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,12417,12584,12645,12787,13318,3505,3468,12907,3654,12119,3370,4615,10623,10723,11187,11287,13005,13338,3061,3062,3064,3065,3068,3069,3071,3072,3073,3079,3080,3084,3085,3086,3089,3090,3091,3095,3096,3100,3101,3103,3106,3115,3119,3121,3123,3126,3127,3128,3135,3136,3145,3155,3160,3166,3167,3170,3178,3181,3190,3192,3195,3199,3200,3202,3203,3204,3214,3221,3231,4602,3243,3318,4603,3784,4014,11888,3296,11597,3431,3407,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,12329,12525,12735,12789,12799,12801,12810,12812,12817,12819,12871,12889,12911,13125,13288,13402,13407,13423,3381,12616,12620,12624,3387,3396,3906,4213,3364,13183,3516,12678,12762,3285,3286,3648,4000,11643,3504,3347,3282,3309,3764,3305,3412,4120,4008,3827,4277,3293,3294,3272,3919,3329,3506,11034,11161,12418,12635,3380,4085,4624,10450,10620,11492,12576,12617,12621,4631,12588,3440,11968,11971,13218,13308,13368,13372,13376,13380,4043,4667,11213,11312,11548,11551,3846,3437,3553,3770,3545,4645,3520,12793,12795,12887,3344,10523,10853,3345,4654,3607,3337,3263,3366,11633,4227,12606,12747,4087,11233,11364,11423,12560,12566,12692,12695,12725,4685,11136,11377,11486,11512,11556,11562,12504,4686,11266,11380,11489,4687,11383,11434,4688,11441,4689,3365,3646,12460,12501,12587,3811,3595,4501,4502,3630,3667,4622,11626,3788,3747,3790,4269,3963,3715,13108,13112,13116,13120,13130,4010,12451,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,12398,12729,12988,13027,13030,13091,13317,13322,3899,11874,3433,3529,11702,11983,13422,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,12507,12610,12934,12953,12956,12980,13031,13199,13204,13225,13230,4673,11745,11776,11811,11818,11854,13040,13044,3886,3655,13211,3657,12959,12962,12965,12968,12998,13001,13350,13354,13358,3658,4035,3620,13351,3621,13355,3476,3478,3452,4657,3343,4619,3837,4149,3639,4674,4220,11509,3769,3489,11989,11992,12425,12529,12706,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,12055,4189,4148,12136,12475,4096,11031,12314,12485,12634,13371,4138,13375,4143,11239,12352,12424,12484,12528,13221,4144,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,12376,12640,12702,12722,12732,13190,13254,13259,13279,13300,4677,10982,11388,12488,13267,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,12468,12532,12651,12698,12981,13004,13083,13094,13099,13102,13105,13138,13151,13210,13236,13239,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,12239,12995,13142,13162,13200,13205,13226,13231,13341,3451,3525,12344,13060,13109,13113,13117,13121,13131,13135,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,12439,12535,12538,12644,12684,12771,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,12583,12774,13182,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,12372,12513,12557,12563,12663,12666,12688,12746,12754,12765,12781,13059,13072,13075,13171,13292,13311,13314,13347,13367,13401,3510,10850,10880,10889,10892,10895,11478,12685,12699,13041,13045,13048,3549,13331,13393,3542,3967,3904,10502,11877,11905,13022,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,13242,3470,10883,11039,11109,11906,12048,12244,12444,12469,13069,13334,13421,3929,11995,12975,4268,3661,4663,3941,3975,4648,4651,4652,3426,3430,4650,4649,4394,4438,3759,11870,4365,11728,4679,10749,10752,4684,11222,11225,11411,11522,11539,11585,4053,11582,11926,11930,12594,12602,12691,13186,13248,3894,11152,11158,11176,12168,12294,12375,12659,3743,11292,11414,12401,12510,12520,12599,12654,12662,12778,13193,4225,3896,10886,11255,11420,11454,11465,12598,12648,13284,3603,3710,10802,10805,10898,11065,3712,4682,11871,4678,12943,4683,10642,10755,11592,12463,12472,12516,12716,4326,11022,12481,12496,12519,4231,3928,12784,3872,3873,4680,10472,10475,10844,10847,11742,11931,12728,4681,11851,11936,3897,10808,11071,12062,13321,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313,8325,8343,8348,8370,8415,8444,8458,8477,8480,8506,8531,8589,8590,8593,8594,8662,8696,8697,8698,8699,8726,8758,8787,8795,8796,8837,8858,8903,8919,8965,8968,8983,8990,9032,9071,9072,9090,9091,9105,9222,9227,9231,9251,9262,9285,9287,9290,9296,9298,9299,9309,9310,9329,9335,9345,9352,9395,9414,9469,9470,9476,9515,9538,9543,9582,9592,9595,9596,9598,9599,9611,9634,9649,9658,9659,9661,9663,9692,9793,9813,9814,9863,9864,9903,9938,10049,10117,10266,10284,10289,3,2789,2790,2791,2793,2794,2799,2804,2805,2807,2808,2809,2811,2812,2822,2832,2834,2835,2836,2837,2839,2842,2844,2849,2850,2851,2852,2853,2856,2857,2858,2859,2865,2866,2867,2871,2873,2874,2875,2876,2877,2878,2882,2883,2885,2886,2889,2890,2891,2893,2898,2906,2907,2910,2911,2912,2913,2914,2915,2916,2917,2921,2931,2934,2935,2936,2945,2953,2954,2970,2971,2993,2994,3007,3022,3024,3027,3029,3030,3031,3032,3052,5411,5452,5599,5600,5601,5683,5782,5812,5846,5862,5864,5870,5932,5933,5934,5935,5952,5987,6119,6157,6167,6191,6225,6263,6414,6419,6458,6459,6482,6484,6486,6493,6494,6495,6496,6497,6498,6499,6500,6580,6651,6652,6741,6779,6780,6819,6820,6960,6974,7045,7046,7052,7073,7106,7108,7112,7149,7157,7177,7178,7196,7197,7234,7279,7280,7376,7447,7448,7449,7450,7467,7499,7551,7552,7561,7566,7567,7578,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7967,7973,7974,7984,8022,8023,8100,8140,8194,8216,8217,8289,8383,8454,8455,8459,8492,8553,8554,8621,8638,8639,8640,8641,8791,9049,9050,9119,9133,9186,9187,9306,9338,9365,9398,9439,9632,9755,9898,10086,10142,10144,6564,6565,6654,6674,6675,7097,7315,8439,8712,8959,9144,9145,9213,9214,9392,9487,9488,9489,9490,9695,9961,9975,10340,10341,6636,8545,8546,9015,9033,9962,10339,4743,4775,4776,4779,4825,4829,4834,4875,4972,4989,5019,5020,5051,5055,5114,5117,5177,5309,5349,5350,5352,5359,5360,5384,5429,5460,5482,5615,5688,5689,5690,5751,5808,5809])).
% 202.11/202.01 cnf(13520,plain,
% 202.11/202.01 (~P105(f844(f844(f235(a908),f844(a112,f844(f844(f79(a908),x135201),x135202))),f844(a112,x135201)))),
% 202.11/202.01 inference(scs_inference,[],[4111,12681,12703,12877,12879,12881,3686,11307,12355,12454,12457,12549,12591,12595,12603,12675,12833,12835,13249,13255,13260,13264,13270,13273,13297,13398,13403,3695,12421,12915,12917,3703,3419,12842,12844,12846,3420,12863,3386,12759,4634,4635,11948,4387,12891,3423,12821,3262,3319,12806,3320,12829,3321,3322,3323,12631,12900,4633,3745,4605,10390,10400,10413,10424,10496,10531,10534,10537,10639,10774,11084,11277,11280,11299,11302,11495,11600,11607,11621,11667,11670,11703,11718,11781,11838,11857,12147,12172,12184,12213,12219,12311,12417,12584,12645,12787,13318,3505,3468,12907,3654,12119,3370,4615,10623,10723,11187,11287,13005,13338,3061,3062,3064,3065,3068,3069,3071,3072,3073,3079,3080,3084,3085,3086,3089,3090,3091,3095,3096,3100,3101,3103,3106,3115,3119,3121,3123,3126,3127,3128,3135,3136,3145,3155,3160,3166,3167,3170,3178,3181,3190,3192,3195,3199,3200,3202,3203,3204,3214,3221,3231,4602,3243,3318,4603,3784,4014,11888,3296,11597,3431,3407,3410,10459,10462,10558,10561,10877,11612,11615,11729,11768,11773,11841,11883,12329,12525,12735,12789,12799,12801,12810,12812,12817,12819,12871,12889,12911,13125,13288,13402,13407,13423,3381,12616,12620,12624,3387,3396,3906,4213,3364,13183,3516,12678,12762,3285,3286,3648,4000,11643,3504,3347,3282,3309,3764,3305,3412,4120,4008,3827,4277,3293,3294,3272,3919,3329,3506,11034,11161,12418,12635,3380,4085,4624,10450,10620,11492,12576,12617,12621,4631,12588,3440,11968,11971,13218,13308,13368,13372,13376,13380,4043,4667,11213,11312,11548,11551,3846,3437,3553,3770,3545,4645,3520,12793,12795,12887,3344,10523,10853,3345,4654,3607,3337,3263,3366,11633,4227,12606,12747,4087,11233,11364,11423,12560,12566,12692,12695,12725,4685,11136,11377,11486,11512,11556,11562,12504,4686,11266,11380,11489,4687,11383,11434,4688,11441,4689,3365,3646,12460,12501,12587,3811,3595,4501,4502,3630,3667,4622,11626,3788,3747,3790,4269,3963,3715,13108,13112,13116,13120,13130,4010,12451,3632,3889,3517,10542,10662,10740,10813,10816,10856,10956,11203,11815,12063,12143,12206,12282,12320,12395,12398,12729,12988,13027,13030,13091,13317,13322,3899,11874,3433,3529,11702,11983,13422,3709,4660,10427,10430,10456,10583,10758,10964,10979,11094,11534,11636,11814,12034,12039,12258,12261,12341,12507,12610,12934,12953,12956,12980,13031,13199,13204,13225,13230,4673,11745,11776,11811,11818,11854,13040,13044,3886,3655,13211,3657,12959,12962,12965,12968,12998,13001,13350,13354,13358,3658,4035,3620,13351,3621,13355,3476,3478,3452,4657,3343,4619,3837,4149,3639,4674,4220,11509,3769,3489,11989,11992,12425,12529,12706,4665,10418,10421,10591,10686,10705,10712,10735,10743,10746,10763,10949,11190,11403,11696,11790,11939,12052,12055,4189,4148,12136,12475,4096,11031,12314,12485,12634,13371,4138,13375,4143,11239,12352,12424,12484,12528,13221,4144,3812,11822,12146,12289,12362,12408,4177,3829,10586,10683,11236,11317,11396,11460,12310,12376,12640,12702,12722,12732,13190,13254,13259,13279,13300,4677,10982,11388,12488,13267,3449,10551,10649,10799,10863,10938,10985,10988,11019,11042,11078,11116,11155,11591,11942,11986,12116,12171,12187,12190,12193,12196,12369,12383,12386,12389,12392,12468,12532,12651,12698,12981,13004,13083,13094,13099,13102,13105,13138,13151,13210,13236,13239,3450,10578,10634,10868,10959,11081,11721,12019,12022,12031,12122,12133,12152,12157,12199,12222,12239,12995,13142,13162,13200,13205,13226,13231,13341,3451,3525,12344,13060,13109,13113,13117,13121,13131,13135,4656,10467,10499,11003,11045,11054,11902,11923,12090,12093,12096,12099,12183,12202,12205,12218,12270,12273,12276,12279,12436,12439,12535,12538,12644,12684,12771,3602,10728,10819,11089,11133,11367,11370,11449,11531,11706,11951,12583,12774,13182,4669,11012,11125,11146,11149,11216,11219,11230,11333,11341,11355,11391,11408,11417,11457,11498,11503,11506,11525,11528,11565,11570,11573,11576,11579,11821,11965,11998,12264,12267,12301,12345,12372,12513,12557,12563,12663,12666,12688,12746,12754,12765,12781,13059,13072,13075,13171,13292,13311,13314,13347,13367,13401,3510,10850,10880,10889,10892,10895,11478,12685,12699,13041,13045,13048,3549,13331,13393,3542,3967,3904,10502,11877,11905,13022,4666,10447,10838,10841,11336,11352,11837,11893,11927,11952,12049,12078,12081,12084,12087,12340,13242,3470,10883,11039,11109,11906,12048,12244,12444,12469,13069,13334,13421,3929,11995,12975,4268,3661,4663,3941,3975,4648,4651,4652,3426,3430,4650,4649,4394,4438,3759,11870,4365,11728,4679,10749,10752,4684,11222,11225,11411,11522,11539,11585,4053,11582,11926,11930,12594,12602,12691,13186,13248,3894,11152,11158,11176,12168,12294,12375,12659,3743,11292,11414,12401,12510,12520,12599,12654,12662,12778,13193,4225,3896,10886,11255,11420,11454,11465,12598,12648,13284,3603,3710,10802,10805,10898,11065,3712,4682,11871,4678,12943,4683,10642,10755,11592,12463,12472,12516,12716,4326,11022,12481,12496,12519,4231,3928,12784,3872,3873,4680,10472,10475,10844,10847,11742,11931,12728,4681,11851,11936,3897,10808,11071,12062,13321,4163,9360,4696,4722,4777,4781,4809,4824,4831,4833,4869,4874,4903,4909,4995,5021,5022,5037,5091,5092,5115,5116,5130,5134,5159,5165,5181,5185,5186,5187,5192,5193,5216,5241,5243,5244,5254,5259,5265,5301,5302,5310,5318,5322,5324,5327,5339,5342,5348,5353,5354,5367,5373,5376,5377,5381,5415,5430,5439,5441,5442,5445,5446,5447,5457,5459,5465,5466,5467,5473,5477,5478,5479,5487,5491,5492,5497,5510,5518,5530,5532,5540,5542,5543,5546,5550,5577,5591,5592,5607,5619,5641,5647,5669,5670,5674,5693,5701,5702,5707,5708,5718,5720,5733,5737,5746,5747,5749,5750,5766,5771,5780,5781,5792,5799,5813,5817,5820,5826,5827,5828,5831,5836,5872,5873,5876,5878,5880,5882,5883,5884,5886,5888,5890,5895,5902,5917,5931,5937,5938,5950,5961,5962,5969,5973,5975,5980,5988,6024,6037,6046,6049,6058,6062,6063,6064,6065,6066,6070,6075,6085,6091,6109,6113,6122,6151,6166,6192,6209,6210,6213,6227,6229,6231,6233,6248,6249,6252,6254,6257,6258,6275,6283,6284,6285,6287,6289,6325,6326,6331,6334,6340,6344,6378,6380,6382,6384,6394,6396,6399,6405,6407,6412,6415,6423,6431,6433,6434,6440,6463,6464,6465,6466,6467,6469,6476,6481,6515,6516,6519,6520,6521,6523,6524,6525,6526,6533,6566,6567,6576,6597,6598,6620,6622,6634,6635,6641,6671,6673,6688,6728,6731,6732,6789,6812,6855,6870,6878,6887,6888,6889,6890,6907,6908,6915,6927,6930,6932,6934,6935,6936,6938,6952,6963,6964,6965,6978,7030,7041,7043,7065,7066,7102,7109,7116,7146,7176,7232,7261,7316,7337,7345,7348,7408,7421,7482,7484,7498,7507,7508,7509,7526,7530,7532,7579,7589,7592,7607,7654,7656,7659,7701,7702,7720,7788,7806,7829,7852,7864,7878,7889,7900,7901,7927,7929,7931,7940,7976,7987,8012,8039,8071,8102,8135,8174,8190,8192,8208,8209,8271,8282,8347,8371,8390,8417,8456,8457,8474,8513,8515,8517,8523,8538,8542,8557,8578,8586,8588,8598,8603,8607,8608,8609,8610,8611,8612,8631,8645,8646,8664,8666,8670,8671,8672,8673,8674,8692,8693,8694,8704,8717,8720,8731,8736,8738,8740,8741,8742,8749,8755,8763,8766,8783,8784,8793,8794,8802,8821,8834,8838,8859,8881,8882,8885,8886,8892,8901,8902,8925,8936,8946,8947,8948,8951,8974,8975,8986,9035,9045,9047,9063,9075,9076,9077,9088,9152,9183,9184,9185,9200,9217,9225,9253,9254,9322,9353,9359,9370,9371,9372,9381,9410,9426,9430,9434,9456,9457,9484,9546,9551,9554,9586,9587,9588,9612,9613,9629,9650,9656,9668,9693,9714,9723,9724,9725,9726,9741,9743,9748,9778,9779,9785,9786,9831,9832,9843,9844,9868,9886,9888,9889,9897,9902,9909,9933,9967,9969,9973,10024,10058,10068,10070,10074,10075,10077,10087,10088,10108,10113,10206,10292,10293,10294,10295,10354,10372,2,8,9,9397,4709,4710,4728,4770,4772,4773,4796,4802,4803,4813,4858,4860,4908,5038,5039,5056,5080,5137,5138,5144,5145,5147,5149,5158,5161,5162,5170,5183,5184,5190,5211,5212,5230,5235,5236,5237,5238,5242,5250,5253,5260,5315,5320,5321,5326,5333,5364,5374,5379,5395,5412,5414,5421,5422,5424,5435,5453,5455,5456,5463,5470,5471,5483,5484,5485,5486,5488,5489,5493,5494,5495,5496,5526,5527,5528,5536,5537,5538,5539,5583,5588,5590,5626,5628,5629,5631,5632,5634,5635,5637,5646,5651,5652,5653,5655,5657,5658,5659,5660,5661,5662,5671,5672,5682,5685,5696,5712,5713,5716,5726,5729,5730,5731,5758,5768,5783,5784,5793,5794,5796,5798,5803,5838,5843,5845,5904,5939,5940,5954,5960,5963,5964,5965,5966,5985,5989,5990,5999,6021,6050,6069,6073,6074,6076,6099,6103,6106,6107,6108,6124,6135,6136,6168,6169,6173,6194,6197,6200,6221,6222,6250,6253,6262,6271,6273,6282,6286,6294,6295,6296,6297,6328,6345,6398,6435,6437,6460,6461,6468,6472,6473,6477,6491,6507,6528,6529,6534,6543,6546,6559,6579,6585,6587,6602,6603,6606,6607,6609,6611,6612,6613,6615,6617,6621,6627,6628,6630,6631,6637,6639,6681,6687,6702,6706,6707,6708,6742,6747,6749,6754,6755,6765,6769,6784,6807,6808,6810,6811,6822,6828,6847,6850,6871,6901,6902,6903,6909,6923,6942,6944,6946,6948,6953,6959,6961,6975,6980,6981,7016,7017,7018,7032,7033,7035,7036,7055,7057,7072,7100,7124,7135,7137,7139,7141,7142,7174,7175,7179,7180,7187,7188,7190,7192,7214,7223,7224,7235,7245,7285,7295,7299,7306,7317,7322,7324,7331,7339,7352,7369,7390,7392,7411,7468,7469,7470,7472,7474,7478,7483,7545,7575,7590,7595,7606,7637,7640,7662,7685,7703,7706,7707,7717,7737,7739,7741,7743,7744,7745,7770,7796,7797,7828,7830,7831,7832,7837,7858,7875,7880,7886,7888,7896,7908,7909,7911,7932,7938,7959,8025,8026,8027,8074,8080,8081,8104,8105,8122,8123,8124,8181,8182,8211,8241,8250,8261,8274,8303,8307,8313,8325,8343,8348,8370,8415,8444,8458,8477,8480,8506,8531,8589,8590,8593,8594,8662,8696,8697,8698,8699,8726,8758,8787,8795,8796,8837,8858,8903,8919,8965,8968,8983,8990,9032,9071,9072,9090,9091,9105,9222,9227,9231,9251,9262,9285,9287,9290,9296,9298,9299,9309,9310,9329,9335,9345,9352,9395,9414,9469,9470,9476,9515,9538,9543,9582,9592,9595,9596,9598,9599,9611,9634,9649,9658,9659,9661,9663,9692,9793,9813,9814,9863,9864,9903,9938,10049,10117,10266,10284,10289,3,2789,2790,2791,2793,2794,2799,2804,2805,2807,2808,2809,2811,2812,2822,2832,2834,2835,2836,2837,2839,2842,2844,2849,2850,2851,2852,2853,2856,2857,2858,2859,2865,2866,2867,2871,2873,2874,2875,2876,2877,2878,2882,2883,2885,2886,2889,2890,2891,2893,2898,2906,2907,2910,2911,2912,2913,2914,2915,2916,2917,2921,2931,2934,2935,2936,2945,2953,2954,2970,2971,2993,2994,3007,3022,3024,3027,3029,3030,3031,3032,3052,5411,5452,5599,5600,5601,5683,5782,5812,5846,5862,5864,5870,5932,5933,5934,5935,5952,5987,6119,6157,6167,6191,6225,6263,6414,6419,6458,6459,6482,6484,6486,6493,6494,6495,6496,6497,6498,6499,6500,6580,6651,6652,6741,6779,6780,6819,6820,6960,6974,7045,7046,7052,7073,7106,7108,7112,7149,7157,7177,7178,7196,7197,7234,7279,7280,7376,7447,7448,7449,7450,7467,7499,7551,7552,7561,7566,7567,7578,7609,7610,7611,7612,7752,7754,7755,7756,7762,7763,7967,7973,7974,7984,8022,8023,8100,8140,8194,8216,8217,8289,8383,8454,8455,8459,8492,8553,8554,8621,8638,8639,8640,8641,8791,9049,9050,9119,9133,9186,9187,9306,9338,9365,9398,9439,9632,9755,9898,10086,10142,10144,6564,6565,6654,6674,6675,7097,7315,8439,8712,8959,9144,9145,9213,9214,9392,9487,9488,9489,9490,9695,9961,9975,10340,10341,6636,8545,8546,9015,9033,9962,10339,4743,4775,4776,4779,4825,4829,4834,4875,4972,4989,5019,5020,5051,5055,5114,5117,5177,5309,5349,5350,5352,5359,5360,5384,5429,5460,5482,5615,5688,5689,5690,5751,5808,5809,5835,5839,5898,5900,5909,5915,6003])).
% 202.11/202.01 cnf(13666,plain,
% 202.11/202.01 (~P105(f844(f61(x136661,x136662,f188(f916(x136661,a904))),x136663))),
% 202.11/202.01 inference(rename_variables,[],[4679])).
% 202.11/202.01 cnf(13690,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x136901),x136902),f844(f310(x136901,x136903,x136904),f188(f916(x136903,a904)))))),
% 202.11/202.01 inference(rename_variables,[],[11148])).
% 202.11/202.01 cnf(13693,plain,
% 202.11/202.01 (~P105(f844(f844(f328(a908),x136931),f844(f281(a908),f2(a908))))),
% 202.11/202.01 inference(rename_variables,[],[12016])).
% 202.11/202.01 cnf(13696,plain,
% 202.11/202.01 (~E(f844(f844(f151(x136961),x136962),x136963),x136963)),
% 202.11/202.01 inference(rename_variables,[],[4624])).
% 202.11/202.01 cnf(13704,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x137041),x137042),f188(f916(x137041,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4669])).
% 202.11/202.01 cnf(13707,plain,
% 202.11/202.01 (~E(f844(f844(f151(x137071),x137072),x137073),f113(x137071))),
% 202.11/202.01 inference(rename_variables,[],[4631])).
% 202.11/202.01 cnf(13712,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x137121),f844(f844(f79(a908),x137121),x137122)))),
% 202.11/202.01 inference(rename_variables,[],[3712])).
% 202.11/202.01 cnf(13730,plain,
% 202.11/202.01 (~P105(f844(f844(f328(f915(x137301,x137301)),x137302),f262(x137301,f188(f916(x137301,a904)))))),
% 202.11/202.01 inference(rename_variables,[],[11145])).
% 202.11/202.01 cnf(13735,plain,
% 202.11/202.01 (~E(f844(f844(f151(x137351),x137352),x137353),x137353)),
% 202.11/202.01 inference(rename_variables,[],[4624])).
% 202.11/202.01 cnf(13744,plain,
% 202.11/202.01 (P105(f844(f844(f328(x137441),f844(x137442,x137443)),f844(f309(x137444,x137441,x137442),f241(f916(x137444,a904)))))),
% 202.11/202.01 inference(rename_variables,[],[4053])).
% 202.11/202.01 cnf(13770,plain,
% 202.11/202.01 (~P105(f844(f61(x137701,x137702,f188(f916(x137701,a904))),x137703))),
% 202.11/202.01 inference(rename_variables,[],[4679])).
% 202.11/202.01 cnf(13773,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x137731,a904)),f844(f172(x137731),f176(x137731,x137732,x137733))),f844(f172(x137731),x137732)))),
% 202.11/202.01 inference(rename_variables,[],[4143])).
% 202.11/202.01 cnf(13776,plain,
% 202.11/202.01 (~P105(f844(f844(f328(f915(x137761,x137761)),x137762),f262(x137761,f188(f916(x137761,a904)))))),
% 202.11/202.01 inference(rename_variables,[],[11145])).
% 202.11/202.01 cnf(13779,plain,
% 202.11/202.01 (~P105(f844(f844(f328(x137791),x137792),f188(f916(x137791,a904))))),
% 202.11/202.01 inference(rename_variables,[],[4669])).
% 202.11/202.01 cnf(13800,plain,
% 202.11/202.01 (~P105(f844(f844(f188(f916(x138001,f916(x138002,a904))),x138003),x138004))),
% 202.11/202.01 inference(rename_variables,[],[4683])).
% 202.11/202.01 cnf(13809,plain,
% 202.11/202.01 (~P105(f844(f844(f234(a908),f844(f844(f80(a908),f844(a112,x138091)),f844(a112,x138091))),x138091))),
% 202.11/202.01 inference(rename_variables,[],[10897])).
% 202.11/202.01 cnf(13824,plain,
% 202.11/202.01 (P105(f844(f844(f235(a1),f844(f844(f3(a1),x138241),f77(a1))),x138241))),
% 202.11/202.01 inference(rename_variables,[],[10958])).
% 202.11/202.01 cnf(13831,plain,
% 202.11/202.01 (~P105(f844(f844(f328(a908),x138311),f844(f281(a908),f2(a908))))),
% 202.11/202.01 inference(rename_variables,[],[12016])).
% 202.11/202.01 cnf(13838,plain,
% 202.11/202.01 (E(f844(x138381,f844(f90(x138382,x138383,f241(f916(x138382,a904)),x138381),f844(x138381,x138384))),f844(x138381,x138384))),
% 202.11/202.01 inference(rename_variables,[],[11289])).
% 202.11/202.01 cnf(13853,plain,
% 202.11/202.01 (P105(f844(f844(f328(x138531),f844(x138532,x138533)),f844(f309(x138534,x138531,x138532),f241(f916(x138534,a904)))))),
% 202.11/202.01 inference(rename_variables,[],[4053])).
% 202.11/202.01 cnf(13859,plain,
% 202.11/202.01 (~P105(f844(f844(f235(a908),f844(f844(f79(a908),x138591),x138592)),x138591))),
% 202.11/202.01 inference(rename_variables,[],[4681])).
% 202.11/202.01 cnf(13866,plain,
% 202.11/202.01 (E(f844(f844(f134(x138661),x138662),f113(x138661)),x138662)),
% 202.11/202.01 inference(rename_variables,[],[3381])).
% 202.11/202.01 cnf(13871,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x138711,a904)),x138712),x138712))),
% 202.11/202.01 inference(rename_variables,[],[3743])).
% 202.11/202.01 cnf(13891,plain,
% 202.11/202.01 (P105(f844(f844(f235(a1),f844(f844(f3(a1),x138911),f77(a1))),x138911))),
% 202.11/202.01 inference(rename_variables,[],[10958])).
% 202.11/202.01 cnf(13897,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x138971),f844(f844(f79(a908),x138971),x138972)))),
% 202.11/202.01 inference(rename_variables,[],[3712])).
% 202.11/202.01 cnf(13906,plain,
% 202.11/202.01 (~P105(f844(f844(f328(a908),x139061),f844(f281(a908),f2(a908))))),
% 202.11/202.01 inference(rename_variables,[],[12016])).
% 202.11/202.01 cnf(13919,plain,
% 202.11/202.01 (~E(f844(f844(f151(x139191),x139192),x139193),x139193)),
% 202.11/202.01 inference(rename_variables,[],[4624])).
% 202.11/202.01 cnf(13922,plain,
% 202.11/202.01 (~P105(f844(f844(f328(a908),x139221),f844(f281(a908),f2(a908))))),
% 202.11/202.01 inference(rename_variables,[],[12016])).
% 202.11/202.01 cnf(13927,plain,
% 202.11/202.01 (P105(f844(f844(f235(a1),f844(f844(f3(a1),x139271),f77(a1))),x139271))),
% 202.11/202.01 inference(rename_variables,[],[10958])).
% 202.11/202.01 cnf(13936,plain,
% 202.11/202.01 (~P33(x139361,x139362,x139363,f844(f844(f154(x139364,x139361),x139365),f844(a112,f113(x139364))),f113(x139362))),
% 202.11/202.01 inference(rename_variables,[],[11425])).
% 202.11/202.01 cnf(13939,plain,
% 202.11/202.01 (~E(f844(f844(f151(x139391),x139392),x139393),x139393)),
% 202.11/202.01 inference(rename_variables,[],[4624])).
% 202.11/202.01 cnf(13945,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x139451),f844(f844(f80(a908),x139451),x139451)))),
% 202.11/202.01 inference(rename_variables,[],[3710])).
% 202.11/202.01 cnf(13973,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x139731),f844(f844(f80(a908),x139731),x139731)))),
% 202.11/202.01 inference(rename_variables,[],[3710])).
% 202.11/202.01 cnf(13982,plain,
% 202.11/202.01 (P105(f844(f844(f234(f916(x139821,a904)),f844(f172(x139821),f176(x139821,x139822,x139823))),f844(f172(x139821),x139822)))),
% 202.11/202.01 inference(rename_variables,[],[4143])).
% 202.11/202.01 cnf(14014,plain,
% 202.11/202.01 (E(f844(f844(f134(x140141),x140142),f113(x140141)),x140142)),
% 202.11/202.01 inference(rename_variables,[],[3381])).
% 202.11/202.01 cnf(14017,plain,
% 202.11/202.01 (E(f844(x140171,f844(f90(x140172,x140173,f241(f916(x140172,a904)),x140171),f844(x140171,x140174))),f844(x140171,x140174))),
% 202.11/202.01 inference(rename_variables,[],[11289])).
% 202.11/202.01 cnf(14020,plain,
% 202.11/202.01 (E(f844(x140201,f844(f90(x140202,x140203,f241(f916(x140202,a904)),x140201),f844(x140201,x140204))),f844(x140201,x140204))),
% 202.11/202.01 inference(rename_variables,[],[11289])).
% 202.11/202.01 cnf(14075,plain,
% 202.11/202.01 (P105(f844(f844(f328(x140751),f844(x140752,x140753)),f844(f309(x140754,x140751,x140752),f241(f916(x140754,a904)))))),
% 202.11/202.01 inference(rename_variables,[],[4053])).
% 202.11/202.01 cnf(14089,plain,
% 202.11/202.01 (P105(f844(f844(f234(a908),x140891),f844(f844(f80(a908),x140891),x140891)))),
% 202.11/202.01 inference(rename_variables,[],[3710])).
% 202.11/202.01 cnf(14096,plain,
% 202.11/202.01 (~P105(f844(f844(f328(f915(x140961,x140961)),x140962),f262(x140961,f188(f916(x140961,a904)))))),
% 202.11/202.01 inference(rename_variables,[],[11145])).
% 202.11/202.01 cnf(14123,plain,
% 202.11/202.01 ($false),
% 202.11/202.01 inference(scs_inference,[],[3886,3478,4189,4227,4035,3243,4682,3451,4087,3525,4650,3542,3899,4685,4053,13744,13853,14075,4669,13704,13779,4143,13773,13982,4615,4624,13696,13735,13919,13939,4631,13707,3433,3529,4220,3449,3904,3470,3743,13871,3896,3603,3710,13945,13973,14089,3712,13712,13897,4326,3410,3381,13866,14014,3294,3405,4686,4656,4679,13666,13770,4678,4683,13800,4680,4681,13859,3654,11761,10482,12075,12115,11567,13506,13412,12977,13414,12990,11284,11132,11395,10958,13824,13891,13927,3814,11127,11464,11419,11289,13838,14017,14020,10458,10902,3507,3395,11194,13235,13238,13520,10907,11908,12509,12992,12014,12016,13693,13831,13906,13922,10915,11351,11145,13730,13776,14096,12328,11148,13690,11390,11467,10897,13809,12272,11584,11402,11425,13936,10882,10885,3087,2,8,5882,6407,5177,6635,8881,6465,5917,7232,8802,8609,8948,5327,5430,7065,6908,8513,8742,7507,5828,6566,6598,5376,6024,6433,6671,5690,9217,7589,6284,6936,7030,8588,8694,5324,5441,5477,5577,6229,6523,7616,9200,8671,6070,5022,7116,10295,5091,5482,7720,8885,9253,5429,6066,5542,5546,6907,7066,7526,8474,6380,6065,8736,6075,6464,5669,5747,6249,7654,9832,5835,7320,4776,6113,5915,6227,6003,6732,7702,7929,7931,5254,5342,5415,5478,5688,8135,6887,7901,4781,7482,9668,6378,6290,5962,9410,6257,6209,6685,7592,9843,10354,7109,9075,5467,6151,9844,6481,6576,5708,7927,9897,4722,8610,7878,8794,5354,5826,6930,8192,10206,8901,5886,8738,6085,7900,8174,8692,9551,7806,8975,5839,6469,6064,9748,5349,5591,5878,6049,6248,8612,9076,6213,8892,5192,5898,5359,5938,7102,5689,6254,5701,8517,6527,6109,6567,7701,8191,8925,8951,9381,5619,4779,8670,8834,5961,9726,10058,5615,7607,8821,6384,9430,6620,6915,7498,6463,9902,4869,4995,7940,5051,5479,7043,8946,6855,10292,4809]),
% 202.11/202.01 ['proof']).
% 202.11/202.01 % SZS output end Proof
% 202.11/202.01 % Total time :161.750000s
%------------------------------------------------------------------------------