TSTP Solution File: SWW320+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW320+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 18:07:21 EDT 2024
% Result : Theorem 206.97s 207.86s
% Output : CNFRefutation 207.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW320+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 09:00:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.58/0.62 start to proof:theBenchmark
% 206.72/207.70 %-------------------------------------------
% 206.72/207.70 % File :CSE---1.7
% 206.72/207.70 % Problem :theBenchmark
% 206.72/207.70 % Transform :cnf
% 206.72/207.70 % Format :tptp:raw
% 206.72/207.70 % Command :java -jar mcs_scs.jar %d %s
% 206.72/207.70
% 206.72/207.70 % Result :Theorem 189.270000s
% 206.72/207.70 % Output :CNFRefutation 189.270000s
% 206.72/207.70 %-------------------------------------------
% 206.72/207.71 %------------------------------------------------------------------------------
% 206.72/207.71 % File : SWW320+1 : TPTP v8.2.0. Released v5.2.0.
% 206.72/207.72 % Domain : Software Verification
% 206.72/207.72 % Problem : Hoare's Logic with Procedures 435050, 5000 axioms selected
% 206.72/207.72 % Version : Especial.
% 206.72/207.72 % English :
% 206.72/207.72
% 206.72/207.72 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 206.72/207.72 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 206.72/207.72 % Source : [Bla11]
% 206.72/207.72 % Names : hoare_435050.5000.p [Bla11]
% 206.72/207.72
% 206.72/207.72 % Status : ContradictoryAxioms
% 206.72/207.72 % Rating : 0.81 v8.2.0, 0.78 v8.1.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.90 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.4.0, 1.00 v5.2.0
% 206.72/207.72 % Syntax : Number of formulae : 5232 (1677 unt; 0 def)
% 206.72/207.72 % Number of atoms : 12734 (4453 equ)
% 206.72/207.72 % Maximal formula atoms : 13 ( 2 avg)
% 206.72/207.72 % Number of connectives : 8493 ( 991 ~; 148 |; 714 &)
% 206.72/207.72 % ( 900 <=>;5740 =>; 0 <=; 0 <~>)
% 206.72/207.72 % Maximal formula depth : 22 ( 6 avg)
% 206.72/207.72 % Maximal term depth : 19 ( 2 avg)
% 206.72/207.72 % Number of predicates : 148 ( 147 usr; 0 prp; 1-6 aty)
% 206.72/207.72 % Number of functors : 392 ( 392 usr; 56 con; 0-7 aty)
% 206.72/207.72 % Number of variables : 16645 (16492 !; 153 ?)
% 206.72/207.72 % SPC : FOF_CAX_RFO_SEQ
% 206.72/207.72
% 206.72/207.72 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 206.72/207.72 % 2011-03-01 11:48:57
% 206.72/207.72 %------------------------------------------------------------------------------
% 206.72/207.72 %----Relevant facts (4985)
% 206.72/207.72 fof(fact_ext,axiom,
% 206.72/207.72 ! [V_g_2,V_f_2] :
% 206.72/207.72 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 206.72/207.72 => V_f_2 = V_g_2 ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_empty,axiom,
% 206.72/207.72 ! [V_Ga_2,T_c] : c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 206.72/207.72 ! [V_a_2,T_c] : c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_triple_Oinject,axiom,
% 206.72/207.72 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_c] :
% 206.72/207.72 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_H_2),V_com_H_2),V_fun2_H_2)
% 206.72/207.72 <=> ( V_fun1_2 = V_fun1_H_2
% 206.72/207.72 & V_com_2 = V_com_H_2
% 206.72/207.72 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_cut,axiom,
% 206.72/207.72 ! [V_Ga_2,V_ts_2,V_G_H_2,T_c] :
% 206.72/207.72 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_G_H_2,V_ts_2)
% 206.72/207.72 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,V_G_H_2)
% 206.72/207.72 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,V_ts_2) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_hoare__derivs_Oinsert,axiom,
% 206.72/207.72 ! [V_ts_2,V_t_2,V_Ga_2,T_c] :
% 206.72/207.72 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 206.72/207.72 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,V_ts_2)
% 206.72/207.72 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),V_t_2),V_ts_2)) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_derivs__insertD,axiom,
% 206.72/207.72 ! [V_ts_2,V_t_2,V_Ga_2,T_c] :
% 206.72/207.72 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),V_t_2),V_ts_2))
% 206.72/207.72 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 206.72/207.72 & c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,V_ts_2) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_finite__imageI,axiom,
% 206.72/207.72 ! [V_h_2,T_d,V_F_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.72/207.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,V_h_2),V_F_2))) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_finite_OinsertI,axiom,
% 206.72/207.72 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2))) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_finite_OemptyI,axiom,
% 206.72/207.72 ! [T_c] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_image__eqI,axiom,
% 206.72/207.72 ! [T_c,V_A_2,T_d,V_x_2,V_f_2,V_b_2] :
% 206.72/207.72 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 206.72/207.72 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),V_A_2))
% 206.72/207.72 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2))) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_insertE,axiom,
% 206.72/207.72 ! [V_A_2,V_b_2,V_a_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_A_2)))
% 206.72/207.72 => ( V_a_2 != V_b_2
% 206.72/207.72 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_insertCI,axiom,
% 206.72/207.72 ! [V_b_2,V_B_2,V_a_2,T_c] :
% 206.72/207.72 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_B_2))
% 206.72/207.72 => V_a_2 = V_b_2 )
% 206.72/207.72 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_emptyE,axiom,
% 206.72/207.72 ! [V_a_2,T_c] : ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_image__constant,axiom,
% 206.72/207.72 ! [V_c_2,T_d,V_A_2,V_x_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.72 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_COMBK(T_d,T_c),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_d),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_image__constant__conv,axiom,
% 206.72/207.72 ! [V_c_2,T_d,T_c,V_A_2] :
% 206.72/207.72 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.72 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_COMBK(T_d,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) )
% 206.72/207.72 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.72 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_COMBK(T_d,T_c),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_d),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_insert__image,axiom,
% 206.72/207.72 ! [V_f_2,T_d,V_A_2,V_x_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.72 => hAPP(hAPP(c_Set_Oinsert(T_d),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_singleton__iff,axiom,
% 206.72/207.72 ! [V_a_2,V_b_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(hAPP(c_member(T_c),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)))))
% 206.72/207.72 <=> V_b_2 = V_a_2 ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_singletonE,axiom,
% 206.72/207.72 ! [V_a_2,V_b_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(hAPP(c_member(T_c),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)))))
% 206.72/207.72 => V_b_2 = V_a_2 ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_equalityCE,axiom,
% 206.72/207.72 ! [V_c_2,T_c,V_B_2,V_A_2] :
% 206.72/207.72 ( V_A_2 = V_B_2
% 206.72/207.72 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.72 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) )
% 206.72/207.72 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.72 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_eq__mem__trans,axiom,
% 206.72/207.72 ! [V_A_2,T_c,V_b_2,V_a_2] :
% 206.72/207.72 ( V_a_2 = V_b_2
% 206.72/207.72 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),V_A_2))
% 206.72/207.72 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_eqelem__imp__iff,axiom,
% 206.72/207.72 ! [V_A_2,T_c,V_y_2,V_x_2] :
% 206.72/207.72 ( V_x_2 = V_y_2
% 206.72/207.72 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.72 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_eqset__imp__iff,axiom,
% 206.72/207.72 ! [V_x_2,T_c,V_B_2,V_A_2] :
% 206.72/207.72 ( V_A_2 = V_B_2
% 206.72/207.72 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.72 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2)) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_mem__def,axiom,
% 206.72/207.72 ! [V_A_2,V_x_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.72 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_finite__code,axiom,
% 206.72/207.72 ! [V_A_2,T_c] :
% 206.72/207.72 ( class_Finite__Set_Ofinite(T_c)
% 206.72/207.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_finite,axiom,
% 206.72/207.72 ! [V_A_2,T_c] :
% 206.72/207.72 ( class_Finite__Set_Ofinite(T_c)
% 206.72/207.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_insert__code,axiom,
% 206.72/207.72 ! [V_x_2,V_A_2,V_y_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),V_A_2),V_x_2))
% 206.72/207.72 <=> ( V_y_2 = V_x_2
% 206.72/207.72 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_insert__commute,axiom,
% 206.72/207.72 ! [V_A_2,V_y_2,V_x_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_insert__absorb2,axiom,
% 206.72/207.72 ! [V_A_2,V_x_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_image__image,axiom,
% 206.72/207.72 ! [V_A_2,V_g_2,T_e,V_f_2,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_e,T_c,hAPP(hAPP(c_COMBB(T_d,T_c,T_e),V_f_2),V_g_2)),V_A_2) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_equals0D,axiom,
% 206.72/207.72 ! [V_a_2,T_c,V_A_2] :
% 206.72/207.72 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.72 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_empty__iff,axiom,
% 206.72/207.72 ! [V_c_2,T_c] : ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_ex__in__conv,axiom,
% 206.72/207.72 ! [V_A_2,T_c] :
% 206.72/207.72 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.72 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_all__not__in__conv,axiom,
% 206.72/207.72 ! [V_A_2,T_c] :
% 206.72/207.72 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.72 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_insert__absorb,axiom,
% 206.72/207.72 ! [V_A_2,V_a_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.72 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2) = V_A_2 ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_insertI2,axiom,
% 206.72/207.72 ! [V_b_2,V_B_2,V_a_2,T_c] :
% 206.72/207.72 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_B_2))
% 206.72/207.72 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) ) ).
% 206.72/207.72
% 206.72/207.72 fof(fact_insert__ident,axiom,
% 206.72/207.72 ! [V_B_2,V_A_2,V_x_2,T_c] :
% 206.72/207.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2))
% 206.72/207.73 => ( hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_B_2)
% 206.72/207.73 <=> V_A_2 = V_B_2 ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_insert__iff,axiom,
% 206.72/207.73 ! [V_A_2,V_b_2,V_a_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_A_2)))
% 206.72/207.73 <=> ( V_a_2 = V_b_2
% 206.72/207.73 | hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_insertI1,axiom,
% 206.72/207.73 ! [V_B_2,V_a_2,T_c] : hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2))) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_rev__image__eqI,axiom,
% 206.72/207.73 ! [T_d,V_f_2,V_b_2,V_A_2,V_x_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.73 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 206.72/207.73 => hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2))) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_imageI,axiom,
% 206.72/207.73 ! [V_f_2,T_d,V_A_2,V_x_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.73 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2))) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_image__iff,axiom,
% 206.72/207.73 ! [V_A_2,V_f_2,T_d,V_z_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)))
% 206.72/207.73 <=> ? [B_x] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.73 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_finite_Oequations_I1_J,axiom,
% 206.72/207.73 ! [T_c] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_singleton__inject,axiom,
% 206.72/207.73 ! [V_b_2,V_a_2,T_c] :
% 206.72/207.73 ( 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_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.73 => V_a_2 = V_b_2 ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_doubleton__eq__iff,axiom,
% 206.72/207.73 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.72/207.73 ( hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.72/207.73 <=> ( ( V_a_2 = V_c_2
% 206.72/207.73 & V_b_2 = V_d_2 )
% 206.72/207.73 | ( V_a_2 = V_d_2
% 206.72/207.73 & V_b_2 = V_c_2 ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_insert__not__empty,axiom,
% 206.72/207.73 ! [V_A_2,V_a_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_empty__not__insert,axiom,
% 206.72/207.73 ! [V_A_2,V_a_2,T_c] : c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_finite__insert,axiom,
% 206.72/207.73 ! [V_A_2,V_a_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)))
% 206.72/207.73 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_image__is__empty,axiom,
% 206.72/207.73 ! [V_A_2,V_f_2,T_c,T_d] :
% 206.72/207.73 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.73 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_image__empty,axiom,
% 206.72/207.73 ! [V_f_2,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_empty__is__image,axiom,
% 206.72/207.73 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.73 ( c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)
% 206.72/207.73 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_image__insert,axiom,
% 206.72/207.73 ! [V_B_2,V_a_2,V_f_2,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_B_2)) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_the__elem__eq,axiom,
% 206.72/207.73 ! [V_x_2,T_c] : c_Set_Othe__elem(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_x_2 ).
% 206.72/207.73
% 206.72/207.73 fof(fact_bot__fun__def,axiom,
% 206.72/207.73 ! [V_x_2,T_d,T_c] :
% 206.72/207.73 ( class_Orderings_Obot(T_c)
% 206.72/207.73 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_d,T_c)),V_x_2) = c_Orderings_Obot__class_Obot(T_c) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_bot__empty__eq,axiom,
% 206.72/207.73 ! [V_x_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)),V_x_2))
% 206.72/207.73 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_triple_Osimps_I2_J,axiom,
% 206.72/207.73 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_c,T_d] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_d,T_c,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_d),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_triple_Orecs,axiom,
% 206.72/207.73 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_c,T_d] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_d,T_c,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_d),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__one_Oinsert,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__one(T_c,V_f_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_bot__apply,axiom,
% 206.72/207.73 ! [V_x_2,T_d,T_c] :
% 206.72/207.73 ( class_Orderings_Obot(T_c)
% 206.72/207.73 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_d,T_c)),V_x_2) = c_Orderings_Obot__class_Obot(T_c) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_escape,axiom,
% 206.72/207.73 ! [V_Qa_2,V_c_2,V_Ga_2,T_c,V_Pa_2] :
% 206.72/207.73 ( ! [B_Z,B_s] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 206.72/207.73 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_c_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_c),hAPP(V_Qa_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) )
% 206.72/207.73 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__one__idem(T_c,V_f_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 206.72/207.73 ! [V_a2_2,V_a1_2,T_c] : c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_hoare__derivs_OSkip,axiom,
% 206.72/207.73 ! [V_Pa_2,V_Ga_2,T_c] : c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Pa_2),c_Com_Ocom_OSKIP),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_conseq1,axiom,
% 206.72/207.73 ! [V_Pa_2,V_Qa_2,V_c_2,V_P_Ha_2,V_Ga_2,T_c] :
% 206.72/207.73 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_P_Ha_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 206.72/207.73 => ( ! [B_Z,B_s] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 206.72/207.73 => hBOOL(hAPP(hAPP(V_P_Ha_2,B_Z),B_s)) )
% 206.72/207.73 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__one__idem_Oidem,axiom,
% 206.72/207.73 ! [V_x_2,V_F_2,V_f_2,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__one__idem(T_c,V_f_2,V_F_2)
% 206.72/207.73 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_eq__mem,axiom,
% 206.72/207.73 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_fequal,V_y_2)))
% 206.72/207.73 <=> V_x_2 = V_y_2 ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__one_Osingleton,axiom,
% 206.72/207.73 ! [V_x_2,V_F_2,V_f_2,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__one(T_c,V_f_2,V_F_2)
% 206.72/207.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_x_2 ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__one__idem_Oin__idem,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__one__idem(T_c,V_f_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.73 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_pred__equals__eq,axiom,
% 206.72/207.73 ! [V_S_2,V_R_2,T_c] :
% 206.72/207.73 ( hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_R_2) = hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_S_2)
% 206.72/207.73 <=> V_R_2 = V_S_2 ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__one_Oclosed,axiom,
% 206.72/207.73 ! [V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__one(T_c,V_f_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.73 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),hAPP(hAPP(c_Set_Oinsert(T_c),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 206.72/207.73 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_conseq2,axiom,
% 206.72/207.73 ! [V_Qa_2,V_Q_Ha_2,V_c_2,V_Pa_2,V_Ga_2,T_c] :
% 206.72/207.73 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Pa_2),V_c_2),V_Q_Ha_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 206.72/207.73 => ( ! [B_Z,B_s] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(V_Q_Ha_2,B_Z),B_s))
% 206.72/207.73 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) )
% 206.72/207.73 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_Comp,axiom,
% 206.72/207.73 ! [V_R_2,V_d_2,V_Qa_2,V_c_2,V_Pa_2,V_Ga_2,T_c] :
% 206.72/207.73 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 206.72/207.73 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Qa_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 206.72/207.73 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Pa_2),c_Com_Ocom_OSemi(V_c_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_the__elem__def,axiom,
% 206.72/207.73 ! [V_X_2,T_c] : c_Set_Othe__elem(T_c,V_X_2) = c_HOL_OThe(T_c,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),hAPP(c_fequal,V_X_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))))) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_LoopF,axiom,
% 206.72/207.73 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_c] : c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_c),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_Pa_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2))),c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 206.72/207.73 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__one__idem(T_c,V_f_2,V_F_2)
% 206.72/207.73 => ( ! [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))
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.72/207.73 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.73 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_N_2)) ) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__image__simple_Oinsert,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__image__simple(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),V_A_2))
% 206.72/207.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_d),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)) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__one_Oremove,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__one(T_c,V_f_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.73 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.73 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 206.72/207.73 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.73 => 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_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)))))) ) ) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__image__simple__idem(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_d),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)) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_finite__induct,axiom,
% 206.72/207.73 ! [V_Pa_2,V_F_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.72/207.73 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.72/207.73 => ( ! [B_x,B_F] :
% 206.72/207.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_F))
% 206.72/207.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),B_F))
% 206.72/207.73 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 206.72/207.73 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_c),B_x),B_F))) ) ) )
% 206.72/207.73 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__image__simple__idem(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.73 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),V_A_2))
% 206.72/207.73 => 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) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_image__ident,axiom,
% 206.72/207.73 ! [V_Y_2,T_c] : hAPP(c_Set_Oimage(T_c,T_c,c_COMBI(T_c)),V_Y_2) = V_Y_2 ).
% 206.72/207.73
% 206.72/207.73 fof(fact_DiffE,axiom,
% 206.72/207.73 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.73 => ~ ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_DiffI,axiom,
% 206.72/207.73 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2))
% 206.72/207.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_finite__Diff,axiom,
% 206.72/207.73 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_Diff__idemp,axiom,
% 206.72/207.73 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 206.72/207.73 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__image__simple__idem(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.73 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_DiffD2,axiom,
% 206.72/207.73 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.73 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_DiffD1,axiom,
% 206.72/207.73 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2)) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_Diff__iff,axiom,
% 206.72/207.73 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.73 <=> ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.73 & ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_Diff__cancel,axiom,
% 206.72/207.73 ! [V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_Diff__empty,axiom,
% 206.72/207.73 ! [V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_A_2 ).
% 206.72/207.73
% 206.72/207.73 fof(fact_empty__Diff,axiom,
% 206.72/207.73 ! [V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_finite__Diff2,axiom,
% 206.72/207.73 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.73 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__image__simple(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_d),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_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)))))) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_insert__Diff1,axiom,
% 206.72/207.73 ! [V_A_2,V_B_2,V_x_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2))
% 206.72/207.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_insert__Diff__if,axiom,
% 206.72/207.73 ! [V_A_2,V_B_2,V_x_2,T_c] :
% 206.72/207.73 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2))
% 206.72/207.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) )
% 206.72/207.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2))
% 206.72/207.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_insert__Diff__single,axiom,
% 206.72/207.73 ! [V_A_2,V_a_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_a_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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_Diff__insert2,axiom,
% 206.72/207.73 ! [V_B_2,V_a_2,V_A_2,T_c] : 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_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),V_B_2) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_Diff__insert,axiom,
% 206.72/207.73 ! [V_B_2,V_a_2,V_A_2,T_c] : 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_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_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)))) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_finite__Diff__insert,axiom,
% 206.72/207.73 ! [V_B_2,V_a_2,V_A_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),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_a_2),V_B_2))))
% 206.72/207.73 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__image__simple_Oempty,axiom,
% 206.72/207.73 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__image__simple(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.73 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = V_z_2 ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__image__simple_Oremove,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__image__simple(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.73 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),V_A_2))
% 206.72/207.73 => 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_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)))))) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_insert__Diff,axiom,
% 206.72/207.73 ! [V_A_2,V_a_2,T_c] :
% 206.72/207.73 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.73 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = V_A_2 ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_Diff__insert__absorb,axiom,
% 206.72/207.73 ! [V_A_2,V_x_2,T_c] :
% 206.72/207.73 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),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)))) = V_A_2 ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_folding__one_Oinsert__remove,axiom,
% 206.72/207.73 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.73 ( c_Finite__Set_Ofolding__one(T_c,V_f_2,V_F_2)
% 206.72/207.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.73 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = V_x_2 )
% 206.72/207.73 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.73 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),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_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)))))) ) ) ) ) ).
% 206.72/207.73
% 206.72/207.73 fof(fact_fun__diff__def,axiom,
% 206.72/207.73 ! [V_x_2,V_B_2,V_A_2,T_d,T_c] :
% 206.72/207.73 ( class_Groups_Ominus(T_c)
% 206.72/207.73 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,T_c)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 206.72/207.73
% 206.72/207.74 fof(fact_com_Osimps_I12_J,axiom,
% 206.72/207.74 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_com_Osimps_I13_J,axiom,
% 206.72/207.74 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 206.72/207.74
% 206.72/207.74 fof(fact_com_Osimps_I16_J,axiom,
% 206.72/207.74 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_com_Osimps_I17_J,axiom,
% 206.72/207.74 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 206.72/207.74
% 206.72/207.74 fof(fact_com_Osimps_I46_J,axiom,
% 206.72/207.74 ! [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) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_com_Osimps_I47_J,axiom,
% 206.72/207.74 ! [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) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_minus__apply,axiom,
% 206.72/207.74 ! [V_x_2,V_B_2,V_A_2,T_d,T_c] :
% 206.72/207.74 ( class_Groups_Ominus(T_c)
% 206.72/207.74 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,T_c)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__image,axiom,
% 206.72/207.74 ! [V_y_2,V_f_2,T_d,V_A_2,V_x_2,T_c] :
% 206.72/207.74 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hAPP(c_Set_Oimage(T_c,T_d,c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_d),V_y_2),hAPP(c_Set_Oimage(T_c,T_d,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)))))) )
% 206.72/207.74 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hAPP(c_Set_Oimage(T_c,T_d,c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_finite__empty__induct,axiom,
% 206.72/207.74 ! [V_Pa_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 206.72/207.74 => ( ! [B_a,B_A] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_A))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),B_a),B_A))
% 206.72/207.74 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 206.72/207.74 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_c),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) )
% 206.72/207.74 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm__idem__remove,axiom,
% 206.72/207.74 ! [T_c] : c_Finite__Set_Ofun__left__comm__idem(T_c,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_c),hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)))),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))))) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_the__sym__eq__trivial,axiom,
% 206.72/207.74 ! [V_x_2,T_c] : c_HOL_OThe(T_c,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__triv,axiom,
% 206.72/207.74 ! [V_x_2,V_f_2,T_d,T_c] : c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__idem__iff,axiom,
% 206.72/207.74 ! [V_y_2,V_x_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,V_y_2) = V_f_2
% 206.72/207.74 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__upd,axiom,
% 206.72/207.74 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_d,T_c] : c_Fun_Ofun__upd(T_c,T_d,c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,V_z_2) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__same,axiom,
% 206.72/207.74 ! [V_y_2,V_x_2,V_f_2,T_c,T_d] : hAPP(c_Fun_Ofun__upd(T_d,T_c,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__apply,axiom,
% 206.72/207.74 ! [V_y_2,V_f_2,T_d,T_c,V_x_2,V_z_2] :
% 206.72/207.74 ( ( V_z_2 = V_x_2
% 206.72/207.74 => hAPP(c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 206.72/207.74 & ( V_z_2 != V_x_2
% 206.72/207.74 => hAPP(c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__twist,axiom,
% 206.72/207.74 ! [V_d_2,V_b_2,V_m_2,T_d,T_c,V_c_2,V_a_2] :
% 206.72/207.74 ( V_a_2 != V_c_2
% 206.72/207.74 => c_Fun_Ofun__upd(T_c,T_d,c_Fun_Ofun__upd(T_c,T_d,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_c,T_d,c_Fun_Ofun__upd(T_c,T_d,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__other,axiom,
% 206.72/207.74 ! [V_y_2,V_f_2,T_d,T_c,V_x_2,V_z_2] :
% 206.72/207.74 ( V_z_2 != V_x_2
% 206.72/207.74 => hAPP(c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__idem,axiom,
% 206.72/207.74 ! [T_c,T_d,V_y_2,V_x_2,V_f_2] :
% 206.72/207.74 ( hAPP(V_f_2,V_x_2) = V_y_2
% 206.72/207.74 => c_Fun_Ofun__upd(T_d,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 206.72/207.74 ! [V_z_2,V_x_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofun__left__comm__idem(T_c,T_d,V_f_2)
% 206.72/207.74 => 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) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__upd__def,axiom,
% 206.72/207.74 ! [V_b_2,V_f_2,T_d,T_c,V_a_2,V_x_2] :
% 206.72/207.74 ( ( V_x_2 = V_a_2
% 206.72/207.74 => hAPP(c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 206.72/207.74 & ( V_x_2 != V_a_2
% 206.72/207.74 => hAPP(c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 206.72/207.74 ! [V_g_2,T_e,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofun__left__comm__idem(T_c,T_d,V_f_2)
% 206.72/207.74 => c_Finite__Set_Ofun__left__comm__idem(T_e,T_d,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_d),T_e),V_f_2),V_g_2)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm__idem__insert,axiom,
% 206.72/207.74 ! [T_c] : c_Finite__Set_Ofun__left__comm__idem(T_c,tc_fun(T_c,tc_HOL_Obool),c_Set_Oinsert(T_c)) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_com_Osimps_I5_J,axiom,
% 206.72/207.74 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 206.72/207.74 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 206.72/207.74 <=> ( V_fun_2 = V_fun_H_2
% 206.72/207.74 & V_com_2 = V_com_H_2 ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_com_Osimps_I3_J,axiom,
% 206.72/207.74 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 206.72/207.74 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 206.72/207.74 <=> ( V_com1_2 = V_com1_H_2
% 206.72/207.74 & V_com2_2 = V_com2_H_2 ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_the__eq__trivial,axiom,
% 206.72/207.74 ! [V_a_2,T_c] : c_HOL_OThe(T_c,hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 206.72/207.74 ! [V_y_2,V_z_2,V_f_2,T_d,V_A_2,V_x_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => ( c_Nitpick_Ofold__graph_H(T_c,T_d,V_f_2,V_z_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)))),V_y_2)
% 206.72/207.74 => c_Nitpick_Ofold__graph_H(T_c,T_d,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_Diff1__fold__graph,axiom,
% 206.72/207.74 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_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))))),V_y_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__insert,axiom,
% 206.72/207.74 ! [V_A_2,V_a_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2))
% 206.72/207.74 <=> ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 & ~ hBOOL(hAPP(hAPP(c_member(T_d),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_d,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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_folding__one_Oeq__fold_H,axiom,
% 206.72/207.74 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofolding__one(T_c,V_f_2,V_F_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_minus__fold__remove,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,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_c),hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)))),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))))),V_B_2),V_A_2) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_the__inv__into__def,axiom,
% 206.72/207.74 ! [V_x_2,V_f_2,V_A_2,T_d,T_c] : hAPP(c_Fun_Othe__inv__into(T_c,T_d,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_c,hAPP(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(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_c),c_fequal),V_f_2)),V_x_2))) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__insert__iff,axiom,
% 206.72/207.74 ! [V_B_2,V_x_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_B_2)))
% 206.72/207.74 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),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))))),V_B_2)) )
% 206.72/207.74 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_diff__single__insert,axiom,
% 206.72/207.74 ! [V_B_2,V_x_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),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))))),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_B_2))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_setsum__diff1,axiom,
% 206.72/207.74 ! [V_f_2,V_a_2,V_A_2,T_c,T_d] :
% 206.72/207.74 ( class_Groups_Oab__group__add(T_d)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 206.72/207.74 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2) ) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_setsum__diff1__ring,axiom,
% 206.72/207.74 ! [V_f_2,V_a_2,V_A_2,T_c,T_d] :
% 206.72/207.74 ( class_Rings_Oring(T_d)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_override__on__def,axiom,
% 206.72/207.74 ! [V_g_2,V_f_2,T_d,V_A_2,V_a_2,T_c] :
% 206.72/207.74 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hAPP(c_Fun_Ooverride__on(T_c,T_d,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) )
% 206.72/207.74 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hAPP(c_Fun_Ooverride__on(T_c,T_d,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_order__refl,axiom,
% 206.72/207.74 ! [V_x,T_a] :
% 206.72/207.74 ( class_Orderings_Opreorder(T_a)
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_equalityI,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.74 => V_A_2 = V_B_2 ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subsetD,axiom,
% 206.72/207.74 ! [V_c_2,V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_empty__subsetI,axiom,
% 206.72/207.74 ! [V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2)) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__empty,axiom,
% 206.72/207.74 ! [V_f_2,T_d,T_c] : c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_linorder__le__cases,axiom,
% 206.72/207.74 ! [V_y,V_x,T_a] :
% 206.72/207.74 ( class_Orderings_Olinorder(T_a)
% 206.72/207.74 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_le__funE,axiom,
% 206.72/207.74 ! [V_x_2,V_g_2,V_f_2,T_c,T_d] :
% 206.72/207.74 ( class_Orderings_Oord(T_d)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,T_d)),V_f_2),V_g_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_xt1_I6_J,axiom,
% 206.72/207.74 ! [V_z,V_x,V_y,T_a] :
% 206.72/207.74 ( class_Orderings_Oorder(T_a)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_xt1_I5_J,axiom,
% 206.72/207.74 ! [V_x,V_y,T_a] :
% 206.72/207.74 ( class_Orderings_Oorder(T_a)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.74 => V_x = V_y ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_order__trans,axiom,
% 206.72/207.74 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.74 ( class_Orderings_Opreorder(T_a)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_order__antisym,axiom,
% 206.72/207.74 ! [V_y,V_x,T_a] :
% 206.72/207.74 ( class_Orderings_Oorder(T_a)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.74 => V_x = V_y ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_xt1_I4_J,axiom,
% 206.72/207.74 ! [V_c,V_a,V_b,T_a] :
% 206.72/207.74 ( class_Orderings_Oorder(T_a)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 206.72/207.74 => ( V_b = V_c
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_ord__le__eq__trans,axiom,
% 206.72/207.74 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.74 ( class_Orderings_Oord(T_a)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.72/207.74 => ( V_b = V_c
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_xt1_I3_J,axiom,
% 206.72/207.74 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.74 ( class_Orderings_Oorder(T_a)
% 206.72/207.74 => ( V_a = V_b
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_ord__eq__le__trans,axiom,
% 206.72/207.74 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.74 ( class_Orderings_Oord(T_a)
% 206.72/207.74 => ( V_a = V_b
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_predicate1D,axiom,
% 206.72/207.74 ! [V_x_2,V_Qa_2,V_Pa_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 206.72/207.74 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.72/207.74 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_order__antisym__conv,axiom,
% 206.72/207.74 ! [V_x_2,V_y_2,T_c] :
% 206.72/207.74 ( class_Orderings_Oorder(T_c)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_x_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.74 <=> V_x_2 = V_y_2 ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_le__funD,axiom,
% 206.72/207.74 ! [V_x_2,V_g_2,V_f_2,T_c,T_d] :
% 206.72/207.74 ( class_Orderings_Oord(T_d)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,T_d)),V_f_2),V_g_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_order__eq__refl,axiom,
% 206.72/207.74 ! [V_y,V_x,T_a] :
% 206.72/207.74 ( class_Orderings_Opreorder(T_a)
% 206.72/207.74 => ( V_x = V_y
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_rev__predicate1D,axiom,
% 206.72/207.74 ! [V_Qa_2,T_c,V_x_2,V_Pa_2] :
% 206.72/207.74 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 206.72/207.74 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_order__eq__iff,axiom,
% 206.72/207.74 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.74 ( class_Orderings_Oorder(T_c)
% 206.72/207.74 => ( V_x_2 = V_y_2
% 206.72/207.74 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_x_2)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_linorder__linear,axiom,
% 206.72/207.74 ! [V_y,V_x,T_a] :
% 206.72/207.74 ( class_Orderings_Olinorder(T_a)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.74 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_le__fun__def,axiom,
% 206.72/207.74 ! [V_g_2,V_f_2,T_c,T_d] :
% 206.72/207.74 ( class_Orderings_Oord(T_d)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,T_d)),V_f_2),V_g_2))
% 206.72/207.74 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_setsum__commute,axiom,
% 206.72/207.74 ! [V_A_2,V_B_2,V_f_2,T_e,T_d,T_c] :
% 206.72/207.74 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.72/207.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_e,T_c),tc_fun(tc_fun(T_e,tc_HOL_Obool),T_c),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_e,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_e,T_c),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_c),T_e),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c)),hAPP(c_COMBC(T_d,T_e,T_c),V_f_2))),V_A_2)),V_B_2) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_equalityE,axiom,
% 206.72/207.74 ! [T_c,V_B_2,V_A_2] :
% 206.72/207.74 ( V_A_2 = V_B_2
% 206.72/207.74 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__trans,axiom,
% 206.72/207.74 ! [V_C_2,V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_equalityD2,axiom,
% 206.72/207.74 ! [T_c,V_B_2,V_A_2] :
% 206.72/207.74 ( V_A_2 = V_B_2
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_equalityD1,axiom,
% 206.72/207.74 ! [T_c,V_B_2,V_A_2] :
% 206.72/207.74 ( V_A_2 = V_B_2
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_set__eq__subset,axiom,
% 206.72/207.74 ! [T_c,V_B_2,V_A_2] :
% 206.72/207.74 ( V_A_2 = V_B_2
% 206.72/207.74 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__refl,axiom,
% 206.72/207.74 ! [V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__inj__on,axiom,
% 206.72/207.74 ! [V_A_2,V_B_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_B_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__def,axiom,
% 206.72/207.74 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 <=> ! [B_x] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.74 => ! [B_xa] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_A_2))
% 206.72/207.74 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 206.72/207.74 => B_x = B_xa ) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__id2,axiom,
% 206.72/207.74 ! [V_A_2,T_c] : c_Fun_Oinj__on(T_c,T_c,c_COMBI(T_c),V_A_2) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_the__inv__into__f__eq,axiom,
% 206.72/207.74 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hAPP(c_Fun_Othe__inv__into(T_c,T_d,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_the__inv__into__f__f,axiom,
% 206.72/207.74 ! [V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hAPP(c_Fun_Othe__inv__into(T_c,T_d,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_the__inv__into__onto,axiom,
% 206.72/207.74 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => hAPP(c_Set_Oimage(T_d,T_c,c_Fun_Othe__inv__into(T_c,T_d,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) = V_A_2 ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__the__inv__into,axiom,
% 206.72/207.74 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => c_Fun_Oinj__on(T_d,T_c,c_Fun_Othe__inv__into(T_c,T_d,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_the__inv__into__into,axiom,
% 206.72/207.74 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Fun_Othe__inv__into(T_c,T_d,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_setsum__diff__nat,axiom,
% 206.72/207.74 ! [V_f_2,V_A_2,V_B_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),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_Nat_Onat),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,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_setsum__subtractf,axiom,
% 206.72/207.74 ! [V_A_2,V_g_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( class_Groups_Oab__group__add(T_c)
% 206.72/207.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Groups_Ominus__class_Ominus(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_g_2),V_A_2)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__def,axiom,
% 206.72/207.74 ! [V_A_2,V_z_2,V_f_2,T_c,T_d] : hAPP(hAPP(c_Finite__Set_Ofold(T_d,T_c,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_c,c_Finite__Set_Ofold__graph(T_d,T_c,V_f_2,V_z_2,V_A_2)) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_endo__inj__surj,axiom,
% 206.72/207.74 ! [V_f_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_c,V_f_2),V_A_2)),V_A_2))
% 206.72/207.74 => ( c_Fun_Oinj__on(T_c,T_c,V_f_2,V_A_2)
% 206.72/207.74 => hAPP(c_Set_Oimage(T_c,T_c,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_finite__surj__inj,axiom,
% 206.72/207.74 ! [V_f_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_c,V_f_2),V_A_2)))
% 206.72/207.74 => c_Fun_Oinj__on(T_c,T_c,V_f_2,V_A_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__image__set__diff,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_C_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))
% 206.72/207.74 => hAPP(c_Set_Oimage(T_c,T_d,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_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__onD,axiom,
% 206.72/207.74 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 206.72/207.74 => V_x_2 = V_y_2 ) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__iff,axiom,
% 206.72/207.74 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 206.72/207.74 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 206.72/207.74 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__contraD,axiom,
% 206.72/207.74 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => ( V_x_2 != V_y_2
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 206.72/207.74 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__diff,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_setsum__diff,axiom,
% 206.72/207.74 ! [V_f_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.74 ( class_Groups_Oab__group__add(T_d)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),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(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_B_2)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 206.72/207.74 ! [V_z_2,V_f_2,T_d,T_c] : c_Nitpick_Ofold__graph_H(T_c,T_d,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)),V_z_2) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 206.72/207.74 ! [V_a2_2,V_a1_2,T_d,T_c] : c_Nitpick_Ofold__graph_H(T_c,T_d,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)),V_a2_2) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__empty,axiom,
% 206.72/207.74 ! [V_z_2,V_f_2,T_c,T_d] : hAPP(hAPP(c_Finite__Set_Ofold(T_d,T_c,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = V_z_2 ).
% 206.72/207.74
% 206.72/207.74 fof(fact_f__the__inv__into__f,axiom,
% 206.72/207.74 ! [V_y_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_y_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))
% 206.72/207.74 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_c,T_d,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_set__mp,axiom,
% 206.72/207.74 ! [V_x_2,V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_set__rev__mp,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,V_x_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_in__mono,axiom,
% 206.72/207.74 ! [V_x_2,V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_bot__least,axiom,
% 206.72/207.74 ! [V_x,T_a] :
% 206.72/207.74 ( class_Orderings_Obot(T_a)
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__empty,axiom,
% 206.72/207.74 ! [V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.72/207.74 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_finite__subset,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_rev__finite__subset,axiom,
% 206.72/207.74 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_insert__mono,axiom,
% 206.72/207.74 ! [V_a_2,V_D_2,V_C_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_D_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_D_2))) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__insertI2,axiom,
% 206.72/207.74 ! [V_b_2,V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__insertI,axiom,
% 206.72/207.74 ! [V_a_2,V_B_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2))) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_image__mono,axiom,
% 206.72/207.74 ! [V_f_2,T_d,V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2))) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__image__iff,axiom,
% 206.72/207.74 ! [V_A_2,V_f_2,T_d,V_B_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)))
% 206.72/207.74 <=> ? [B_AA] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),B_AA),V_A_2))
% 206.72/207.74 & V_B_2 = hAPP(c_Set_Oimage(T_d,T_c,V_f_2),B_AA) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_double__diff,axiom,
% 206.72/207.74 ! [V_C_2,V_B_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))
% 206.72/207.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_Diff__mono,axiom,
% 206.72/207.74 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_D_2),V_B_2))
% 206.72/207.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_Diff__subset,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_thin,axiom,
% 206.72/207.74 ! [V_Ga_2,V_ts_2,V_G_H_2,T_c] :
% 206.72/207.74 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_G_H_2,V_ts_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)),V_G_H_2),V_Ga_2))
% 206.72/207.74 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,V_ts_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_weaken,axiom,
% 206.72/207.74 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_c] :
% 206.72/207.74 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,V_ts_H_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 206.72/207.74 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,V_ts_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_asm,axiom,
% 206.72/207.74 ! [V_Ga_2,V_ts_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)),V_ts_2),V_Ga_2))
% 206.72/207.74 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,V_ts_2) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_empty__fold__graphE,axiom,
% 206.72/207.74 ! [V_x_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_x_2))
% 206.72/207.74 => V_x_2 = V_z_2 ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__graph_OemptyI,axiom,
% 206.72/207.74 ! [V_z_2,V_f_2,T_d,T_c] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_z_2)) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 206.72/207.74 ! [V_z_2,V_f_2,T_d,T_c] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_z_2)) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__graph__imp__finite,axiom,
% 206.72/207.74 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,V_A_2),V_x_2))
% 206.72/207.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_pred__subset__eq,axiom,
% 206.72/207.74 ! [V_S_2,V_R_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_R_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_S_2)))
% 206.72/207.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_finite__imageD,axiom,
% 206.72/207.74 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)))
% 206.72/207.74 => ( c_Fun_Oinj__on(T_d,T_c,V_f_2,V_A_2)
% 206.72/207.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__insert,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,V_x_2,T_c] :
% 206.72/207.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_B_2)))
% 206.72/207.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_insert__subset,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,V_x_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)),V_B_2))
% 206.72/207.74 <=> ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2))
% 206.72/207.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_subset__singletonD,axiom,
% 206.72/207.74 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(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)))))
% 206.72/207.74 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.74 | 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))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_finite__surj,axiom,
% 206.72/207.74 ! [V_f_2,V_B_2,T_d,V_A_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))
% 206.72/207.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_image__diff__subset,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__graph_OinsertI,axiom,
% 206.72/207.74 ! [V_y_2,V_z_2,V_f_2,T_d,V_A_2,V_x_2,T_c] :
% 206.72/207.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,V_A_2),V_y_2))
% 206.72/207.74 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_setsum__diff1__nat,axiom,
% 206.72/207.74 ! [V_f_2,V_A_2,V_a_2,T_c] :
% 206.72/207.74 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 206.72/207.74 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofolding__image__simple__idem(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.74 => 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) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__fun__updI,axiom,
% 206.72/207.74 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_d),V_y_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))
% 206.72/207.74 => c_Fun_Oinj__on(T_c,T_d,c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_override__on__apply__in,axiom,
% 206.72/207.74 ! [V_g_2,V_f_2,T_d,V_A_2,V_a_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hAPP(c_Fun_Ooverride__on(T_c,T_d,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_override__on__apply__notin,axiom,
% 206.72/207.74 ! [V_g_2,V_f_2,T_d,V_A_2,V_a_2,T_c] :
% 206.72/207.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hAPP(c_Fun_Ooverride__on(T_c,T_d,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_override__on__emptyset,axiom,
% 206.72/207.74 ! [V_g_2,V_f_2,T_d,T_c] : c_Fun_Ooverride__on(T_c,T_d,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_f_2 ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 206.72/207.74 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofun__left__comm__idem(T_c,T_d,V_f_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 206.72/207.74 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofun__left__comm__idem(T_c,T_d,V_f_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),V_A_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 206.72/207.74 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofolding__one__idem(T_c,V_f_2,V_F_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,V_f_2),V_a_2),V_A_2) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 206.72/207.74 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofolding__one__idem(T_c,V_f_2,V_F_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.74 => 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) ) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_inj__on__iff__surj,axiom,
% 206.72/207.74 ! [V_A_H_2,T_d,T_c,V_A_2] :
% 206.72/207.74 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.74 => ( ? [B_f] :
% 206.72/207.74 ( c_Fun_Oinj__on(T_c,T_d,B_f,V_A_2)
% 206.72/207.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,B_f),V_A_2)),V_A_H_2)) )
% 206.72/207.74 <=> ? [B_g] : hAPP(c_Set_Oimage(T_d,T_c,B_g),V_A_H_2) = V_A_2 ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 206.72/207.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_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)))))) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold1Set_Ointros,axiom,
% 206.72/207.74 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_c,V_f_2,V_a_2,V_A_2),V_x_2))
% 206.72/207.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.74 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_flat__lub__def,axiom,
% 206.72/207.74 ! [V_b_2,V_A_2,T_c] :
% 206.72/207.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))
% 206.72/207.74 => c_Partial__Function_Oflat__lub(T_c,V_b_2,V_A_2) = V_b_2 )
% 206.72/207.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))
% 206.72/207.74 => c_Partial__Function_Oflat__lub(T_c,V_b_2,V_A_2) = c_HOL_OThe(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),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_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 206.72/207.74 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_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)))))) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 206.72/207.74 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_d,T_c] :
% 206.72/207.74 ( c_Nitpick_Ofold__graph_H(T_c,T_d,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 206.72/207.74 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.74 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 206.72/207.74 | ? [B_x,B_y] :
% 206.72/207.74 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 206.72/207.74 & hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_a2_2))
% 206.72/207.74 & c_Nitpick_Ofold__graph_H(T_c,T_d,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),B_y) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_diff__eq__diff__less__eq,axiom,
% 206.72/207.74 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.72/207.74 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.72/207.74 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_c_2),V_d_2)
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2))
% 206.72/207.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_c_2),V_d_2)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 206.72/207.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 206.72/207.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.74 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 206.72/207.74
% 206.72/207.74 fof(fact_finite__subset__induct,axiom,
% 206.72/207.74 ! [V_Pa_2,V_A_2,V_F_2,T_c] :
% 206.72/207.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.72/207.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_F_2),V_A_2))
% 206.72/207.75 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.72/207.75 => ( ! [B_a,B_F] :
% 206.72/207.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_F))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),B_a),V_A_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),B_a),B_F))
% 206.72/207.75 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 206.72/207.75 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_c),B_a),B_F))) ) ) ) )
% 206.72/207.75 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum_Oremove,axiom,
% 206.72/207.75 ! [V_g_2,V_x_2,V_A_2,T_c,T_d] :
% 206.72/207.75 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_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)))))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 206.72/207.75 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__right__imp__eq,axiom,
% 206.72/207.75 ! [V_c,V_a,V_b,T_a] :
% 206.72/207.75 ( class_Groups_Ocancel__semigroup__add(T_a)
% 206.72/207.75 => ( 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)
% 206.72/207.75 => V_b = V_c ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__imp__eq,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 206.72/207.75 => ( 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)
% 206.72/207.75 => V_b = V_c ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__left__imp__eq,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Ocancel__semigroup__add(T_a)
% 206.72/207.75 => ( 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)
% 206.72/207.75 => V_b = V_c ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__right__cancel,axiom,
% 206.72/207.75 ! [V_c_2,V_a_2,V_b_2,T_c] :
% 206.72/207.75 ( class_Groups_Ocancel__semigroup__add(T_c)
% 206.72/207.75 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_c_2),V_a_2)
% 206.72/207.75 <=> V_b_2 = V_c_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__left__cancel,axiom,
% 206.72/207.75 ! [V_c_2,V_b_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Groups_Ocancel__semigroup__add(T_c)
% 206.72/207.75 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_c_2)
% 206.72/207.75 <=> V_b_2 = V_c_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oab__semigroup__add(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__le__imp__le__left,axiom,
% 206.72/207.75 ! [V_b,V_a,V_c,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 206.72/207.75 => ( 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)))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__le__imp__le__right,axiom,
% 206.72/207.75 ! [V_b,V_c,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 206.72/207.75 => ( 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)))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__mono,axiom,
% 206.72/207.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 206.72/207.75 => 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))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__left__mono,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.72/207.75 => 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))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__right__mono,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.72/207.75 => 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))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__le__cancel__left,axiom,
% 206.72/207.75 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_c_2),V_b_2)))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__le__cancel__right,axiom,
% 206.72/207.75 ! [V_b_2,V_c_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_b_2),V_c_2)))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__diff__cancel,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Ogroup__add(T_a)
% 206.72/207.75 => 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 ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_diff__add__cancel,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Ogroup__add(T_a)
% 206.72/207.75 => 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 ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 206.72/207.75 ! [V_g_2,T_e,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.75 => c_Finite__Set_Ofun__left__comm(T_e,T_d,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_d),T_e),V_f_2),V_g_2)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum__addf,axiom,
% 206.72/207.75 ! [V_A_2,V_g_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.72/207.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Groups_Oplus__class_Oplus(T_c)),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_d,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_g_2),V_A_2)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,V_A_2),V_x_2))
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,V_A_2),V_y_2))
% 206.72/207.75 => V_y_2 = V_x_2 ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_empty__fold1SetE,axiom,
% 206.72/207.75 ! [V_x_2,V_f_2,T_c] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_x_2)) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fold1Set__nonempty,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,V_f_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_c,V_f_2,V_A_2),V_x_2))
% 206.72/207.75 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum_Odistrib,axiom,
% 206.72/207.75 ! [V_h_2,V_g_2,V_A_2,T_c,T_d] :
% 206.72/207.75 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,T_d),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_c),c_Groups_Oplus__class_Oplus(T_d)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_A_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_diff__eq__diff__eq,axiom,
% 206.72/207.75 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Groups_Oab__group__add(T_c)
% 206.72/207.75 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_c_2),V_d_2)
% 206.72/207.75 => ( V_a_2 = V_b_2
% 206.72/207.75 <=> V_c_2 = V_d_2 ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 206.72/207.75 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 206.72/207.75 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,V_A_2),V_y_2))
% 206.72/207.75 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fold1Set__sing,axiom,
% 206.72/207.75 ! [V_b_2,V_a_2,V_f_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(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)))),V_b_2))
% 206.72/207.75 <=> V_a_2 = V_b_2 ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum_Oinsert,axiom,
% 206.72/207.75 ! [V_g_2,V_x_2,V_A_2,T_c,T_d] :
% 206.72/207.75 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum__insert,axiom,
% 206.72/207.75 ! [V_f_2,V_a_2,V_F_2,T_c,T_d] :
% 206.72/207.75 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_F_2))
% 206.72/207.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_F_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum_Oinsert__remove,axiom,
% 206.72/207.75 ! [V_x_2,V_g_2,V_A_2,T_c,T_d] :
% 206.72/207.75 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_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)))))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 206.72/207.75 ! [V_z_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_z_2),V_A_2))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum__diff1_H,axiom,
% 206.72/207.75 ! [V_f_2,V_a_2,V_A_2,T_c,T_d] :
% 206.72/207.75 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 206.72/207.75 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,V_A_2),V_y_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.75 => ? [B_y_H] :
% 206.72/207.75 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 206.72/207.75 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fold1Set_Oequations,axiom,
% 206.72/207.75 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_a1_2),V_a2_2)),V_a3_2))
% 206.72/207.75 <=> ? [B_a,B_A] :
% 206.72/207.75 ( hAPP(hAPP(c_Set_Oinsert(T_c),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_c),B_a),B_A)
% 206.72/207.75 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_c,V_f_2,B_a,B_A),V_a3_2))
% 206.72/207.75 & ~ hBOOL(hAPP(hAPP(c_member(T_c),B_a),B_A)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_insert__fold1SetE,axiom,
% 206.72/207.75 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_X_2)),V_x_2))
% 206.72/207.75 => ~ ! [B_a,B_A] :
% 206.72/207.75 ( hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_c),B_a),B_A)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_c,V_f_2,B_a,B_A),V_x_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_member(T_c),B_a),B_A)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 206.72/207.75 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)),V_v_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => ~ ! [B_y] :
% 206.72/207.75 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 206.72/207.75 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_d,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fold__graph__permute__diff,axiom,
% 206.72/207.75 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_c] :
% 206.72/207.75 ( class_Groups_Oab__semigroup__mult(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_c,c_Groups_Otimes__class_Otimes(T_c),V_b_2,V_A_2),V_x_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_c,c_Groups_Otimes__class_Otimes(T_c),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_b_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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum__reindex__cong,axiom,
% 206.72/207.75 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_d,T_c,T_e] :
% 206.72/207.75 ( class_Groups_Ocomm__monoid__add(T_e)
% 206.72/207.75 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.75 => ( V_B_2 = hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)
% 206.72/207.75 => ( ! [B_a] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_member(T_c),B_a),V_A_2))
% 206.72/207.75 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 206.72/207.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_e),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_e),V_g_2),V_A_2) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_psubset__insert__iff,axiom,
% 206.72/207.75 ! [V_B_2,V_x_2,V_A_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_B_2)))
% 206.72/207.75 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 206.72/207.75 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_B_2))
% 206.72/207.75 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),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))))),V_B_2)) )
% 206.72/207.75 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 206.72/207.75 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Big__Operators_Ocomm__monoid__big(T_c,T_d,V_f_2,V_z_2,V_F_2)
% 206.72/207.75 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.75 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Max__mono,axiom,
% 206.72/207.75 ! [V_N_2,V_M_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_M_2),V_N_2))
% 206.72/207.75 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Big__Operators_Olinorder__class_OMax(T_c,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_c,V_N_2))) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Min__antimono,axiom,
% 206.72/207.75 ! [V_N_2,V_M_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_M_2),V_N_2))
% 206.72/207.75 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_c,V_M_2))) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_finite__nonempty__imp__fold1Set,axiom,
% 206.72/207.75 ! [V_f_2,V_A_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => ? [B_x1] : hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_c,V_f_2,V_A_2),B_x1)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oab__semigroup__mult(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_mult__left__idem,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_mult__idem,axiom,
% 206.72/207.75 ! [V_x,T_a] :
% 206.72/207.75 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 206.72/207.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_times_Oidem,axiom,
% 206.72/207.75 ! [V_a,T_a] :
% 206.72/207.75 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 206.72/207.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__cases,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => ( V_x != V_y
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__asym,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_xt1_I10_J,axiom,
% 206.72/207.75 ! [V_z,V_x,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__trans,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_xt1_I2_J,axiom,
% 206.72/207.75 ! [V_c,V_a,V_b,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 206.72/207.75 => ( V_b = V_c
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_ord__less__eq__trans,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Oord(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.72/207.75 => ( V_b = V_c
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_xt1_I1_J,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( V_a = V_b
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_ord__eq__less__trans,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Oord(T_a)
% 206.72/207.75 => ( V_a = V_b
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_xt1_I9_J,axiom,
% 206.72/207.75 ! [V_a,V_b,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 206.72/207.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__asym_H,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.72/207.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__imp__not__eq2,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => V_y != V_x ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__imp__not__eq,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => V_x != V_y ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__imp__not__less,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__not__sym,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_less__imp__neq,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => V_x != V_y ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__neqE,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( V_x != V_y
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__antisym__conv3,axiom,
% 206.72/207.75 ! [V_x_2,V_y_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_y_2),V_x_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> V_x_2 = V_y_2 ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__less__linear,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 | V_x = V_y
% 206.72/207.75 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_not__less__iff__gr__or__eq,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_y_2),V_x_2))
% 206.72/207.75 | V_x_2 = V_y_2 ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__neq__iff,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( V_x_2 != V_y_2
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_y_2))
% 206.72/207.75 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_y_2),V_x_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__irrefl,axiom,
% 206.72/207.75 ! [V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_a)
% 206.72/207.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_psubset__trans,axiom,
% 206.72/207.75 ! [V_C_2,V_B_2,V_A_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_less__fun__def,axiom,
% 206.72/207.75 ! [V_g_2,V_f_2,T_c,T_d] :
% 206.72/207.75 ( class_Orderings_Oord(T_d)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,T_d)),V_f_2),V_g_2))
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,T_d)),V_f_2),V_g_2))
% 206.72/207.75 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,T_d)),V_g_2),V_f_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_xt1_I8_J,axiom,
% 206.72/207.75 ! [V_z,V_x,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__le__less__trans,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_xt1_I7_J,axiom,
% 206.72/207.75 ! [V_z,V_x,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__le__trans,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_xt1_I11_J,axiom,
% 206.72/207.75 ! [V_a,V_b,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 206.72/207.75 => ( V_a != V_b
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__le__neq__trans,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.72/207.75 => ( V_a != V_b
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__le__imp__less__or__eq,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 | V_x = V_y ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__antisym__conv2,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> V_x_2 = V_y_2 ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__imp__le,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_leD,axiom,
% 206.72/207.75 ! [V_x,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_xt1_I12_J,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( V_a != V_b
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__neq__le__trans,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Oorder(T_a)
% 206.72/207.75 => ( V_a != V_b
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__antisym__conv1,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_y_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> V_x_2 = V_y_2 ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_not__leE,axiom,
% 206.72/207.75 ! [V_x,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_leI,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__le__less,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Oorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_y_2))
% 206.72/207.75 | V_x_2 = V_y_2 ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_less__le__not__le,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Opreorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.75 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_x_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_order__less__le,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Oorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.75 & V_x_2 != V_y_2 ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__le__less__linear,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.75 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__not__le,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_y_2),V_x_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__not__less,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_x_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_psubsetD,axiom,
% 206.72/207.75 ! [V_c_2,V_B_2,V_A_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__less__cancel__right,axiom,
% 206.72/207.75 ! [V_b_2,V_c_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_b_2),V_c_2)))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__less__cancel__left,axiom,
% 206.72/207.75 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_c_2),V_b_2)))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__strict__right__mono,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.72/207.75 => 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))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__strict__left__mono,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.72/207.75 => 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))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__strict__mono,axiom,
% 206.72/207.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 206.72/207.75 => 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))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__less__imp__less__right,axiom,
% 206.72/207.75 ! [V_b,V_c,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 206.72/207.75 => ( 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)))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__less__imp__less__left,axiom,
% 206.72/207.75 ! [V_b,V_a,V_c,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 206.72/207.75 => ( 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)))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_not__psubset__empty,axiom,
% 206.72/207.75 ! [V_A_2,T_c] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_diff__eq__diff__less,axiom,
% 206.72/207.75 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.72/207.75 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_c_2),V_d_2)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),V_d_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_subset__psubset__trans,axiom,
% 206.72/207.75 ! [V_C_2,V_B_2,V_A_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_psubset__subset__trans,axiom,
% 206.72/207.75 ! [V_C_2,V_B_2,V_A_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_psubset__imp__subset,axiom,
% 206.72/207.75 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_subset__iff__psubset__eq,axiom,
% 206.72/207.75 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 | V_A_2 = V_B_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_psubset__eq,axiom,
% 206.72/207.75 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 & V_A_2 != V_B_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm,axiom,
% 206.72/207.75 ! [T_c] :
% 206.72/207.75 ( class_Groups_Oab__semigroup__mult(T_c)
% 206.72/207.75 => c_Finite__Set_Ofun__left__comm(T_c,T_c,c_Groups_Otimes__class_Otimes(T_c)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__left__comm__idem,axiom,
% 206.72/207.75 ! [T_c] :
% 206.72/207.75 ( class_Lattices_Oab__semigroup__idem__mult(T_c)
% 206.72/207.75 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_c,c_Groups_Otimes__class_Otimes(T_c)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum__right__distrib,axiom,
% 206.72/207.75 ! [V_A_2,V_f_2,T_d,V_r_2,T_c] :
% 206.72/207.75 ( class_Rings_Osemiring__0(T_c)
% 206.72/207.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,T_c,T_d),hAPP(c_Groups_Otimes__class_Otimes(T_c),V_r_2)),V_f_2)),V_A_2) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum__left__distrib,axiom,
% 206.72/207.75 ! [V_r_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( class_Rings_Osemiring__0(T_c)
% 206.72/207.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBC(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Groups_Otimes__class_Otimes(T_c)),V_f_2)),V_r_2)),V_A_2) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum__product,axiom,
% 206.72/207.75 ! [V_B_2,V_g_2,T_e,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( class_Rings_Osemiring__0(T_c)
% 206.72/207.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_e,T_c),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_e,T_c),tc_fun(tc_fun(T_e,tc_HOL_Obool),T_c),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_e,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,T_c)),T_d),c_COMBB(T_c,T_c,T_e)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__le__less__mono,axiom,
% 206.72/207.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 206.72/207.75 => 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))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_add__less__le__mono,axiom,
% 206.72/207.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 206.72/207.75 => 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))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_inj__on__strict__subset,axiom,
% 206.72/207.75 ! [V_A_2,V_B_2,V_f_2,T_d,T_c] :
% 206.72/207.75 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_B_2)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Min_Osingleton,axiom,
% 206.72/207.75 ! [V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_x_2 ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Max_Osingleton,axiom,
% 206.72/207.75 ! [V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_x_2 ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fold__graph__insert__swap,axiom,
% 206.72/207.75 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_c] :
% 206.72/207.75 ( class_Groups_Oab__semigroup__mult(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_c,c_Groups_Otimes__class_Otimes(T_c),V_b_2,V_A_2),V_y_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_c,T_c,c_Groups_Otimes__class_Otimes(T_c),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_z_2),V_y_2))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Min__le,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)),V_x_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Max__ge,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Min__in,axiom,
% 206.72/207.75 ! [V_A_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_member(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)),V_A_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Max__in,axiom,
% 206.72/207.75 ! [V_A_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_member(T_c),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2)),V_A_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_less__add__iff2,axiom,
% 206.72/207.75 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Rings_Oordered__ring(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_e_2)),V_d_2)))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_less__add__iff1,axiom,
% 206.72/207.75 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Rings_Oordered__ring(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_e_2)),V_d_2)))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_le__add__iff2,axiom,
% 206.72/207.75 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Rings_Oordered__ring(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_e_2)),V_d_2)))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_le__add__iff1,axiom,
% 206.72/207.75 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Rings_Oordered__ring(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_e_2)),V_d_2)))
% 206.72/207.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_eq__add__iff2,axiom,
% 206.72/207.75 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Rings_Oring(T_c)
% 206.72/207.75 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_e_2)),V_d_2)
% 206.72/207.75 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_eq__add__iff1,axiom,
% 206.72/207.75 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Rings_Oring(T_c)
% 206.72/207.75 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_e_2)),V_d_2)
% 206.72/207.75 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_crossproduct__noteq,axiom,
% 206.72/207.75 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_c)
% 206.72/207.75 => ( ( V_a_2 != V_b_2
% 206.72/207.75 & V_c_2 != V_d_2 )
% 206.72/207.75 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_c_2)) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__class_Odistrib,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_linorder__neqE__linordered__idom,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Rings_Olinordered__idom(T_a)
% 206.72/207.75 => ( V_x != V_y
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 206.72/207.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 206.72/207.75 ! [V_d,V_c,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 206.72/207.75 ! [V_d,V_c,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 206.72/207.75 ! [V_c,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 206.72/207.75 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 206.72/207.75 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 206.72/207.75 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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))) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 206.72/207.75 ! [V_rx,V_ly,V_lx,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 206.72/207.75 ! [V_rx,V_ly,V_lx,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 206.72/207.75 ! [V_ry,V_rx,V_lx,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 206.72/207.75 ! [V_ry,V_rx,V_lx,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_crossproduct__eq,axiom,
% 206.72/207.75 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_c] :
% 206.72/207.75 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_c)
% 206.72/207.75 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> ( V_w_2 = V_x_2
% 206.72/207.75 | V_y_2 = V_z_2 ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_combine__common__factor,axiom,
% 206.72/207.75 ! [V_c,V_b,V_e,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Osemiring(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 206.72/207.75 ! [V_b,V_m,V_a,T_a] :
% 206.72/207.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setsum__strict__mono,axiom,
% 206.72/207.75 ! [V_g_2,V_f_2,V_A_2,T_c,T_d] :
% 206.72/207.75 ( ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.75 & class_Groups_Oordered__cancel__ab__semigroup__add(T_d) )
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => ( ! [B_x] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_d),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,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_A_2))) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Min_Oremove,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2) = V_x_2 )
% 206.72/207.75 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_c,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)))))) ) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Max_Oremove,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2) = V_x_2 )
% 206.72/207.75 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_c,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)))))) ) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fold1__eq__fold,axiom,
% 206.72/207.75 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.75 ( class_Groups_Oab__semigroup__mult(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.75 => hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Groups_Otimes__class_Otimes(T_c)),V_a_2),V_A_2) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fold1__insert,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.75 ( class_Groups_Oab__semigroup__mult(T_c)
% 206.72/207.75 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_x_2),hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),V_A_2)) ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_setprod_Oremove,axiom,
% 206.72/207.75 ! [V_g_2,V_x_2,V_A_2,T_c,T_d] :
% 206.72/207.75 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_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)))))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Min__eqI,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( ! [B_y] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),B_y)) )
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2) = V_x_2 ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Max__eqI,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.75 => ( ! [B_y] :
% 206.72/207.75 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),B_y),V_x_2)) )
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.75 => c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2) = V_x_2 ) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_minus__Max__eq__Min,axiom,
% 206.72/207.75 ! [V_S_2,T_c] :
% 206.72/207.75 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.72/207.75 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_c),c_Big__Operators_Olinorder__class_OMax(T_c,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),V_S_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_minus__Min__eq__Max,axiom,
% 206.72/207.75 ! [V_S_2,T_c] :
% 206.72/207.75 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.72/207.75 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),V_S_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_ComplI,axiom,
% 206.72/207.75 ! [V_A_2,V_c_2,T_c] :
% 206.72/207.75 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.75 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_inj__uminus,axiom,
% 206.72/207.75 ! [V_A_2,T_c] :
% 206.72/207.75 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.72/207.75 => c_Fun_Oinj__on(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c),V_A_2) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_neg__equal__iff__equal,axiom,
% 206.72/207.75 ! [V_b_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Groups_Ogroup__add(T_c)
% 206.72/207.75 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2)
% 206.72/207.75 <=> V_a_2 = V_b_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_minus__equation__iff,axiom,
% 206.72/207.75 ! [V_b_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Groups_Ogroup__add(T_c)
% 206.72/207.75 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2) = V_b_2
% 206.72/207.75 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2) = V_a_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_equation__minus__iff,axiom,
% 206.72/207.75 ! [V_b_2,V_a_2,T_c] :
% 206.72/207.75 ( class_Groups_Ogroup__add(T_c)
% 206.72/207.75 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2)
% 206.72/207.75 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_minus__min__eq__max,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Groups_Olinordered__ab__group__add(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_minus__max__eq__min,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Groups_Olinordered__ab__group__add(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_minus__minus,axiom,
% 206.72/207.75 ! [V_a,T_a] :
% 206.72/207.75 ( class_Groups_Ogroup__add(T_a)
% 206.72/207.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Odistrib__sup__le,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)))) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Odistrib__inf__le,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)))) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 206.72/207.75 ! [V_x,V_z,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 206.72/207.75 ! [V_x,V_z,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf__assoc,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf_Oassoc,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__assoc,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup_Oassoc,axiom,
% 206.72/207.75 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_compl__eq__compl__iff,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Lattices_Oboolean__algebra(T_c)
% 206.72/207.75 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_y_2)
% 206.72/207.75 <=> V_x_2 = V_y_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf__left__commute,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 206.72/207.75 ! [V_c,V_a,V_b,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__left__commute,axiom,
% 206.72/207.75 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 206.72/207.75 ! [V_c,V_a,V_b,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf__left__idem,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__left__idem,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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 ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__inf__absorb,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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 ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf__commute,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf_Ocommute,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__commute,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup_Ocommute,axiom,
% 206.72/207.75 ! [V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_uminus__apply,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,T_d,T_c] :
% 206.72/207.75 ( class_Groups_Ouminus(T_c)
% 206.72/207.75 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_d,T_c)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),hAPP(V_A_2,V_x_2)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Oinf_Oidem,axiom,
% 206.72/207.75 ! [V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup_Oidem,axiom,
% 206.72/207.75 ! [V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_double__compl,axiom,
% 206.72/207.75 ! [V_x,T_a] :
% 206.72/207.75 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_fun__Compl__def,axiom,
% 206.72/207.75 ! [V_x_2,V_A_2,T_d,T_c] :
% 206.72/207.75 ( class_Groups_Ouminus(T_c)
% 206.72/207.75 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_d,T_c)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),hAPP(V_A_2,V_x_2)) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Min_Oidem,axiom,
% 206.72/207.75 ! [V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_Max_Oidem,axiom,
% 206.72/207.75 ! [V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Ole__supE,axiom,
% 206.72/207.75 ! [V_x,V_b,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( 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))
% 206.72/207.75 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 206.72/207.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__mono,axiom,
% 206.72/207.75 ! [V_d,V_b,V_c,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 206.72/207.75 => 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))) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__least,axiom,
% 206.72/207.75 ! [V_z,V_x,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 206.72/207.75 => 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)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Ole__supI,axiom,
% 206.72/207.75 ! [V_b,V_x,V_a,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 206.72/207.75 => 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)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__absorb1,axiom,
% 206.72/207.75 ! [V_x,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.75 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Osup__absorb2,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.75 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Ole__supI2,axiom,
% 206.72/207.75 ! [V_a,V_b,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 206.72/207.75 => 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))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Ole__supI1,axiom,
% 206.72/207.75 ! [V_b,V_a,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 206.72/207.75 => 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))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Ole__sup__iff,axiom,
% 206.72/207.75 ! [V_z_2,V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),V_y_2)),V_z_2))
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_z_2))
% 206.72/207.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_z_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_min__max_Ole__iff__sup,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.75 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),V_y_2) = V_y_2 ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_le__maxI2,axiom,
% 206.72/207.75 ! [V_x,V_y,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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))) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_le__maxI1,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_a)
% 206.72/207.75 => 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))) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_le__max__iff__disj,axiom,
% 206.72/207.75 ! [V_y_2,V_x_2,V_z_2,T_c] :
% 206.72/207.75 ( class_Orderings_Olinorder(T_c)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),V_y_2)))
% 206.72/207.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_z_2),V_x_2))
% 206.72/207.75 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_z_2),V_y_2)) ) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_compl__mono,axiom,
% 206.72/207.75 ! [V_y,V_x,T_a] :
% 206.72/207.75 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.75 => 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))) ) ) ).
% 206.72/207.75
% 206.72/207.75 fof(fact_compl__le__compl__iff,axiom,
% 206.72/207.76 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.76 ( class_Lattices_Oboolean__algebra(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_y_2)))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_x_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_le__minus__iff,axiom,
% 206.72/207.76 ! [V_b_2,V_a_2,T_c] :
% 206.72/207.76 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2)))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__le__iff,axiom,
% 206.72/207.76 ! [V_b_2,V_a_2,T_c] :
% 206.72/207.76 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)),V_b_2))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2)),V_a_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_neg__le__iff__le,axiom,
% 206.72/207.76 ! [V_a_2,V_b_2,T_c] :
% 206.72/207.76 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_le__imp__neg__le,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Groups_Oordered__ab__group__add(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.72/207.76 => 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))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ole__infE,axiom,
% 206.72/207.76 ! [V_b,V_a,V_x,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( 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)))
% 206.72/207.76 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 206.72/207.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oinf__mono,axiom,
% 206.72/207.76 ! [V_d,V_b,V_c,V_a,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 206.72/207.76 => 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))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oinf__greatest,axiom,
% 206.72/207.76 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 206.72/207.76 => 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))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ole__infI,axiom,
% 206.72/207.76 ! [V_b,V_a,V_x,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 206.72/207.76 => 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))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oinf__absorb2,axiom,
% 206.72/207.76 ! [V_x,V_y,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oinf__absorb1,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ole__infI2,axiom,
% 206.72/207.76 ! [V_a,V_x,V_b,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 206.72/207.76 => 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)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ole__infI1,axiom,
% 206.72/207.76 ! [V_b,V_x,V_a,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 206.72/207.76 => 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)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ole__inf__iff,axiom,
% 206.72/207.76 ! [V_z_2,V_y_2,V_x_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_y_2),V_z_2)))
% 206.72/207.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_z_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ole__iff__inf,axiom,
% 206.72/207.76 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.76 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),V_y_2) = V_x_2 ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oinf__le2,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oinf__le1,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__le__iff__disj,axiom,
% 206.72/207.76 ! [V_z_2,V_y_2,V_x_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),V_y_2)),V_z_2))
% 206.72/207.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_z_2))
% 206.72/207.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_z_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oless__supI2,axiom,
% 206.72/207.76 ! [V_a,V_b,V_x,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 206.72/207.76 => 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))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oless__supI1,axiom,
% 206.72/207.76 ! [V_b,V_a,V_x,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 206.72/207.76 => 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))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_max__less__iff__conj,axiom,
% 206.72/207.76 ! [V_z_2,V_y_2,V_x_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),V_y_2)),V_z_2))
% 206.72/207.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_z_2))
% 206.72/207.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_y_2),V_z_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_less__max__iff__disj,axiom,
% 206.72/207.76 ! [V_y_2,V_x_2,V_z_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),V_y_2)))
% 206.72/207.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_z_2),V_x_2))
% 206.72/207.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_z_2),V_y_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_neg__less__iff__less,axiom,
% 206.72/207.76 ! [V_a_2,V_b_2,T_c] :
% 206.72/207.76 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__less__iff,axiom,
% 206.72/207.76 ! [V_b_2,V_a_2,T_c] :
% 206.72/207.76 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)),V_b_2))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2)),V_a_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_less__minus__iff,axiom,
% 206.72/207.76 ! [V_b_2,V_a_2,T_c] :
% 206.72/207.76 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2)))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oless__infI2,axiom,
% 206.72/207.76 ! [V_a,V_x,V_b,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 206.72/207.76 => 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)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oless__infI1,axiom,
% 206.72/207.76 ! [V_b,V_x,V_a,T_a] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 206.72/207.76 => 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)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__less__iff__disj,axiom,
% 206.72/207.76 ! [V_z_2,V_y_2,V_x_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),V_y_2)),V_z_2))
% 206.72/207.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),V_z_2))
% 206.72/207.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_y_2),V_z_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__less__iff__conj,axiom,
% 206.72/207.76 ! [V_y_2,V_x_2,V_z_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),V_y_2)))
% 206.72/207.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_z_2),V_x_2))
% 206.72/207.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_z_2),V_y_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_max__add__distrib__left,axiom,
% 206.72/207.76 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.76 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__add__distrib,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Groups_Oab__group__add(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__add,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Groups_Ogroup__add(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_add__minus__cancel,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Groups_Ogroup__add(T_a)
% 206.72/207.76 => 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 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__add__cancel,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Groups_Ogroup__add(T_a)
% 206.72/207.76 => 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 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__mult__right,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Rings_Oring(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__mult__left,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Rings_Oring(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__mult__commute,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Rings_Oring(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__mult__minus,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Rings_Oring(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_square__eq__iff,axiom,
% 206.72/207.76 ! [V_b_2,V_a_2,T_c] :
% 206.72/207.76 ( class_Rings_Oidom(T_c)
% 206.72/207.76 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_b_2)
% 206.72/207.76 <=> ( V_a_2 = V_b_2
% 206.72/207.76 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__add__distrib__left,axiom,
% 206.72/207.76 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.76 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_ComplE,axiom,
% 206.72/207.76 ! [V_A_2,V_c_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))
% 206.72/207.76 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_ComplD,axiom,
% 206.72/207.76 ! [V_A_2,V_c_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))
% 206.72/207.76 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Compl__iff,axiom,
% 206.72/207.76 ! [V_A_2,V_c_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))
% 206.72/207.76 <=> ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max_OF__eq,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omax(T_c)),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min_OF__eq,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omin(T_c)),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_max__diff__distrib__left,axiom,
% 206.72/207.76 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.76 ( class_Groups_Oordered__ab__group__add(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_minus__diff__eq,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Groups_Oab__group__add(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__diff__distrib__left,axiom,
% 206.72/207.76 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.76 ( class_Groups_Oordered__ab__group__add(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Compl__anti__mono,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Compl__subset__Compl__iff,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_B_2)))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_setprod__timesf,axiom,
% 206.72/207.76 ! [V_A_2,V_g_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( class_Groups_Ocomm__monoid__mult(T_c)
% 206.72/207.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Groups_Otimes__class_Otimes(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),V_g_2),V_A_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_c,c_Orderings_Oord__class_Omax(T_c)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_c,c_Orderings_Oord__class_Omin(T_c)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ofold1__belowI,axiom,
% 206.72/207.76 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omin(T_c)),V_A_2)),V_a_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold1__below__iff,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omin(T_c)),V_A_2)),V_x_2))
% 206.72/207.76 <=> ? [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),B_x),V_x_2)) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omin(T_c)),V_A_2)))
% 206.72/207.76 <=> ! [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),B_x)) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_setsum__negf,axiom,
% 206.72/207.76 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( class_Groups_Oab__group__add(T_c)
% 206.72/207.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,T_c,T_d),c_Groups_Ouminus__class_Ouminus(T_c)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_f_2),V_A_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold1__strict__below__iff,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omin(T_c)),V_A_2)),V_x_2))
% 206.72/207.76 <=> ? [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),B_x),V_x_2)) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_strict__below__fold1__iff,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omin(T_c)),V_A_2)))
% 206.72/207.76 <=> ! [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_x_2),B_x)) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold1__antimono,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omin(T_c)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omin(T_c)),V_A_2))) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_diff__def,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Groups_Ogroup__add(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_ab__diff__minus,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Groups_Oab__group__add(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_diff__minus__eq__add,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Groups_Ogroup__add(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Rings_Ocomm__ring__1(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_subset__Compl__self__eq,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( 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)),V_A_2)))
% 206.72/207.76 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_setprod_Odistrib,axiom,
% 206.72/207.76 ! [V_h_2,V_g_2,V_A_2,T_c,T_d] :
% 206.72/207.76 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,T_d),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_c),c_Groups_Otimes__class_Otimes(T_d)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_A_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold1__singleton__def,axiom,
% 206.72/207.76 ! [V_a_2,V_f_2,T_c,V_g_2] :
% 206.72/207.76 ( V_g_2 = c_Finite__Set_Ofold1(T_c,V_f_2)
% 206.72/207.76 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_a_2 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold1__singleton,axiom,
% 206.72/207.76 ! [V_a_2,V_f_2,T_c] : hAPP(c_Finite__Set_Ofold1(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)))) = V_a_2 ).
% 206.72/207.76
% 206.72/207.76 fof(fact_folding__one_Oeq__fold,axiom,
% 206.72/207.76 ! [V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.76 ( c_Finite__Set_Ofolding__one(T_c,V_f_2,V_F_2)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_c,V_f_2),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ofold__sup__insert,axiom,
% 206.72/207.76 ! [V_a_2,V_b_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omax(T_c)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omax(T_c)),V_b_2),V_A_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max_Oin__idem,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ofold__inf__insert,axiom,
% 206.72/207.76 ! [V_a_2,V_b_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omin(T_c)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omin(T_c)),V_b_2),V_A_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min_Oin__idem,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold1__def,axiom,
% 206.72/207.76 ! [V_A_2,V_f_2,T_c] : hAPP(c_Finite__Set_Ofold1(T_c,V_f_2),V_A_2) = c_HOL_OThe(T_c,c_Finite__Set_Ofold1Set(T_c,V_f_2,V_A_2)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_setprod_Oinsert,axiom,
% 206.72/207.76 ! [V_g_2,V_x_2,V_A_2,T_c,T_d] :
% 206.72/207.76 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_setprod__insert,axiom,
% 206.72/207.76 ! [V_f_2,V_a_2,V_A_2,T_c,T_d] :
% 206.72/207.76 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 206.72/207.76 ! [V_b_2,V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omax(T_c)),V_b_2),V_A_2))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 206.72/207.76 ! [V_b_2,V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omin(T_c)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_a_2),V_b_2))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max__insert,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min__insert,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max_Osubset__idem,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olinorder__class_OMax(T_c,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min_Osubset__idem,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 206.72/207.76 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omax(T_c)),V_a_2),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 206.72/207.76 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omin(T_c)),V_a_2),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_setprod_Oinsert__remove,axiom,
% 206.72/207.76 ! [V_x_2,V_g_2,V_A_2,T_c,T_d] :
% 206.72/207.76 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_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)))))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold1__insert__idem,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Lattices_Oab__semigroup__idem__mult(T_c)
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_x_2),hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),V_A_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold1__eq__fold__idem,axiom,
% 206.72/207.76 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Lattices_Oab__semigroup__idem__mult(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Groups_Otimes__class_Otimes(T_c)),V_a_2),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max_Oinsert,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min_Oinsert,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max_Oinsert__remove,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = V_x_2 )
% 206.72/207.76 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_c,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)))))) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min_Oinsert__remove,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = V_x_2 )
% 206.72/207.76 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_c,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)))))) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max_Oeq__fold_H,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omax(T_c)),V_x_2),V_A_2) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min_Oeq__fold_H,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omin(T_c)),V_x_2),V_A_2) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_semilattice__big_OF__eq,axiom,
% 206.72/207.76 ! [V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.76 ( c_Big__Operators_Osemilattice__big(T_c,V_f_2,V_F_2)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_c,V_f_2),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_dual__min,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => c_Orderings_Oord_Omin(T_c,hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_c))) = c_Orderings_Oord__class_Omax(T_c) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_dual__max,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => c_Orderings_Oord_Omax(T_c,hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_c))) = c_Orderings_Oord__class_Omin(T_c) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_max__ord__max,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( class_Orderings_Oord(T_c)
% 206.72/207.76 => c_Orderings_Oord__class_Omax(T_c) = c_Orderings_Oord_Omax(T_c,c_Orderings_Oord__class_Oless__eq(T_c)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__ord__min,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( class_Orderings_Oord(T_c)
% 206.72/207.76 => c_Orderings_Oord__class_Omin(T_c) = c_Orderings_Oord_Omin(T_c,c_Orderings_Oord__class_Oless__eq(T_c)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max_Oclosed,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),hAPP(hAPP(c_Set_Oinsert(T_c),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2)),V_A_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min_Oclosed,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),hAPP(hAPP(c_Set_Oinsert(T_c),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)),V_A_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold1__in,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Groups_Oab__semigroup__mult(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),hAPP(hAPP(c_Set_Oinsert(T_c),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),V_A_2)),V_A_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2) = V_x_2 )
% 206.72/207.76 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),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)))))) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2) = V_x_2 )
% 206.72/207.76 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),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)))))) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Compl__eq__Compl__iff,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( 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_c,tc_HOL_Obool)),V_B_2)
% 206.72/207.76 <=> V_A_2 = V_B_2 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_double__complement,axiom,
% 206.72/207.76 ! [V_A_2,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__le__Sup,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 206.72/207.76 ! [V_x_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_x_2 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 206.72/207.76 ! [V_x_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_x_2 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omin(T_c)),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_c,c_Orderings_Oord__class_Omax(T_c)),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 206.72/207.76 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)) = V_a_2 ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 206.72/207.76 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)) = V_a_2 ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 206.72/207.76 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omin(T_c)),V_a_2),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 206.72/207.76 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omax(T_c)),V_a_2),V_A_2) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = V_x_2 )
% 206.72/207.76 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),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)))))) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = V_x_2 )
% 206.72/207.76 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),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)))))) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omin(T_c)),V_x_2),V_A_2) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omax(T_c)),V_x_2),V_A_2) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),hAPP(hAPP(c_Set_Oinsert(T_c),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)),V_A_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),hAPP(hAPP(c_Set_Oinsert(T_c),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)),V_A_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 206.72/207.76 ! [V_N_2,V_h_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.72/207.76 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_N_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 206.72/207.76 ! [V_N_2,V_h_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.72/207.76 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_N_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max_Ohom__commute,axiom,
% 206.72/207.76 ! [V_N_2,V_h_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.72/207.76 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_c,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_N_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min_Ohom__commute,axiom,
% 206.72/207.76 ! [V_N_2,V_h_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.72/207.76 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_c,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_N_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_hom__fold1__commute,axiom,
% 206.72/207.76 ! [V_N_2,V_h_2,T_c] :
% 206.72/207.76 ( class_Lattices_Oab__semigroup__idem__mult(T_c)
% 206.72/207.76 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.72/207.76 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_N_2)) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 206.72/207.76 ! [V_c_2,V_b_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ! [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),B_x),V_b_2)) )
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omax(T_c)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_b_2),V_c_2))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 206.72/207.76 ! [V_c_2,V_b_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ! [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),B_x)) )
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Orderings_Oord__class_Omin(T_c)),V_c_2),V_A_2))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_card__Diff2__less,axiom,
% 206.72/207.76 ! [V_y_2,V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),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))))),hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_card__Diff1__less,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),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)))))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inj__image__Compl__subset,axiom,
% 206.72/207.76 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,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_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold__image__insert,axiom,
% 206.72/207.76 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_c,T_d] :
% 206.72/207.76 ( class_Groups_Oab__semigroup__mult(T_d)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.76 => 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(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(V_g_2,V_a_2)),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),V_A_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_setsum__mono,axiom,
% 206.72/207.76 ! [V_g_2,V_f_2,V_K_2,T_c,T_d] :
% 206.72/207.76 ( ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.76 & class_Groups_Oordered__ab__semigroup__add(T_d) )
% 206.72/207.76 => ( ! [B_i] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_i),V_K_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(V_f_2,B_i)),hAPP(V_g_2,B_i))) )
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_K_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_K_2))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_B_2)) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_B_2)) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Max__Un,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_c,V_B_2)) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Min__Un,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( class_Orderings_Olinorder(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.76 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_c,V_B_2)) ) ) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_top1I,axiom,
% 206.72/207.76 ! [V_x_2,T_c] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_x_2)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup1E,axiom,
% 206.72/207.76 ! [V_x_2,V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 206.72/207.76 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 206.72/207.76 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup1CI,axiom,
% 206.72/207.76 ! [T_c,V_A_2,V_x_2,V_B_2] :
% 206.72/207.76 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 206.72/207.76 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 206.72/207.76 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_UNIV__I,axiom,
% 206.72/207.76 ! [V_x_2,T_c] : hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_UnE,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_UnCI,axiom,
% 206.72/207.76 ! [V_A_2,V_B_2,V_c_2,T_c] :
% 206.72/207.76 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2)) )
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_finite__option__UNIV,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_c),tc_HOL_Obool))))
% 206.72/207.76 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_finite__Plus__UNIV__iff,axiom,
% 206.72/207.76 ! [T_d,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_c,T_d)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_c,T_d),tc_HOL_Obool))))
% 206.72/207.76 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 206.72/207.76 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_finite__Prod__UNIV,axiom,
% 206.72/207.76 ! [T_d,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))))
% 206.72/207.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_d)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Sup__fin_Oidem,axiom,
% 206.72/207.76 ! [V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Olattice(T_a)
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__UNIV__left,axiom,
% 206.72/207.76 ! [V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__UNIV__right,axiom,
% 206.72/207.76 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__absorb,axiom,
% 206.72/207.76 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__commute,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] : 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_c,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__left__absorb,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_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_c,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__left__commute,axiom,
% 206.72/207.76 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__assoc,axiom,
% 206.72/207.76 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,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_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_bex__Un,axiom,
% 206.72/207.76 ! [V_Pa_2,V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( ? [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.76 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.72/207.76 <=> ( ? [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.76 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.72/207.76 | ? [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_B_2))
% 206.72/207.76 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_ball__Un,axiom,
% 206.72/207.76 ! [V_Pa_2,V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( ! [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.76 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.72/207.76 <=> ( ! [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.72/207.76 & ! [B_x] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_B_2))
% 206.72/207.76 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_top__apply,axiom,
% 206.72/207.76 ! [V_x_2,T_d,T_c] :
% 206.72/207.76 ( class_Orderings_Otop(T_c)
% 206.72/207.76 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_d,T_c)),V_x_2) = c_Orderings_Otop__class_Otop(T_c) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup1I1,axiom,
% 206.72/207.76 ! [V_B_2,T_c,V_x_2,V_A_2] :
% 206.72/207.76 ( hBOOL(hAPP(V_A_2,V_x_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup1I2,axiom,
% 206.72/207.76 ! [V_A_2,T_c,V_x_2,V_B_2] :
% 206.72/207.76 ( hBOOL(hAPP(V_B_2,V_x_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__top__left,axiom,
% 206.72/207.76 ! [V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Obounded__lattice__top(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__top__right,axiom,
% 206.72/207.76 ! [V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Obounded__lattice__top(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup_Oidem,axiom,
% 206.72/207.76 ! [V_a,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__idem,axiom,
% 206.72/207.76 ! [V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__fun__def,axiom,
% 206.72/207.76 ! [V_x_2,V_g_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( class_Lattices_Olattice(T_c)
% 206.72/207.76 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,T_c)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup_Ocommute,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inf__sup__aci_I5_J,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Olattice(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__commute,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup_Oleft__idem,axiom,
% 206.72/207.76 ! [V_b,V_a,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inf__sup__aci_I8_J,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Olattice(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__left__idem,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup_Oleft__commute,axiom,
% 206.72/207.76 ! [V_c,V_a,V_b,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inf__sup__aci_I7_J,axiom,
% 206.72/207.76 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Olattice(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__left__commute,axiom,
% 206.72/207.76 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup_Oassoc,axiom,
% 206.72/207.76 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inf__sup__aci_I6_J,axiom,
% 206.72/207.76 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Olattice(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__assoc,axiom,
% 206.72/207.76 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__apply,axiom,
% 206.72/207.76 ! [V_x_2,V_g_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( class_Lattices_Olattice(T_c)
% 206.72/207.76 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,T_c)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_finite__fun__UNIVD2,axiom,
% 206.72/207.76 ! [T_d,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_c,T_d)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_c,T_d),tc_HOL_Obool))))
% 206.72/207.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 206.72/207.76 ! [V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 206.72/207.76 => ( hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.76 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Compl__partition,axiom,
% 206.72/207.76 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Compl__partition2,axiom,
% 206.72/207.76 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__compl__top,axiom,
% 206.72/207.76 ! [V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_compl__sup__top,axiom,
% 206.72/207.76 ! [V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.76 => 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) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inf__sup__ord_I3_J,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Olattice(T_a)
% 206.72/207.76 => 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))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__ge1,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inf__sup__ord_I4_J,axiom,
% 206.72/207.76 ! [V_x,V_y,T_a] :
% 206.72/207.76 ( class_Lattices_Olattice(T_a)
% 206.72/207.76 => 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))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__ge2,axiom,
% 206.72/207.76 ! [V_x,V_y,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => 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))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_le__iff__sup,axiom,
% 206.72/207.76 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.76 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),V_y_2) = V_y_2 ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_le__sup__iff,axiom,
% 206.72/207.76 ! [V_z_2,V_y_2,V_x_2,T_c] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_c)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),V_y_2)),V_z_2))
% 206.72/207.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_z_2))
% 206.72/207.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_z_2)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_le__supI1,axiom,
% 206.72/207.76 ! [V_b,V_a,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 206.72/207.76 => 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))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_le__supI2,axiom,
% 206.72/207.76 ! [V_a,V_b,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 206.72/207.76 => 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))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__absorb2,axiom,
% 206.72/207.76 ! [V_y,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__absorb1,axiom,
% 206.72/207.76 ! [V_x,V_y,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_le__supI,axiom,
% 206.72/207.76 ! [V_b,V_x,V_a,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 206.72/207.76 => 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)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__least,axiom,
% 206.72/207.76 ! [V_z,V_x,V_y,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 206.72/207.76 => 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)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__mono,axiom,
% 206.72/207.76 ! [V_d,V_b,V_c,V_a,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 206.72/207.76 => 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))) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_le__supE,axiom,
% 206.72/207.76 ! [V_x,V_b,V_a,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( 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))
% 206.72/207.76 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 206.72/207.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_less__supI1,axiom,
% 206.72/207.76 ! [V_b,V_a,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 206.72/207.76 => 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))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_less__supI2,axiom,
% 206.72/207.76 ! [V_a,V_b,V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_a)
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 206.72/207.76 => 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))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__bot__left,axiom,
% 206.72/207.76 ! [V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Obounded__lattice__bot(T_a)
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__bot__right,axiom,
% 206.72/207.76 ! [V_x,T_a] :
% 206.72/207.76 ( class_Lattices_Obounded__lattice__bot(T_a)
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__eq__bot__iff,axiom,
% 206.72/207.76 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.76 ( class_Lattices_Obounded__lattice__bot(T_c)
% 206.72/207.76 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_c)
% 206.72/207.76 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_c)
% 206.72/207.76 & V_y_2 = c_Orderings_Obot__class_Obot(T_c) ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__iff,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.76 <=> ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.76 | hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_UnI1,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_UnI2,axiom,
% 206.72/207.76 ! [V_A_2,V_B_2,V_c_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__max,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( ( class_Lattices_Osemilattice__sup(T_c)
% 206.72/207.76 & class_Orderings_Olinorder(T_c) )
% 206.72/207.76 => c_Lattices_Osemilattice__sup__class_Osup(T_c) = c_Orderings_Oord__class_Omax(T_c) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__empty__left,axiom,
% 206.72/207.76 ! [V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__empty__right,axiom,
% 206.72/207.76 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_A_2 ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__empty,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( hAPP(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))
% 206.72/207.76 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.76 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_finite__Un,axiom,
% 206.72/207.76 ! [V_Ga_2,V_F_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_F_2),V_Ga_2)))
% 206.72/207.76 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.72/207.76 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_Ga_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_finite__UnI,axiom,
% 206.72/207.76 ! [V_Ga_2,V_F_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.72/207.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_Ga_2))
% 206.72/207.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__insert__right,axiom,
% 206.72/207.76 ! [V_B_2,V_a_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__insert__left,axiom,
% 206.72/207.76 ! [V_C_2,V_B_2,V_a_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__upper1,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__upper2,axiom,
% 206.72/207.76 ! [V_A_2,V_B_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_subset__Un__eq,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.76 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__absorb1,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__absorb2,axiom,
% 206.72/207.76 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__least,axiom,
% 206.72/207.76 ! [V_B_2,V_C_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__mono,axiom,
% 206.72/207.76 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_image__Un,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,V_f_2,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,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(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_B_2)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__Diff__cancel,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__Diff__cancel2,axiom,
% 206.72/207.76 ! [V_A_2,V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Un__Diff,axiom,
% 206.72/207.76 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,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_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_UNIV__not__empty,axiom,
% 206.72/207.76 ! [T_c] : c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_finite__UNIV,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( class_Finite__Set_Ofinite(T_c)
% 206.72/207.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_subset__UNIV,axiom,
% 206.72/207.76 ! [V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inj__eq,axiom,
% 206.72/207.76 ! [V_y_2,V_x_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.76 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 206.72/207.76 <=> V_x_2 = V_y_2 ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_injD,axiom,
% 206.72/207.76 ! [V_y_2,V_x_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.76 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 206.72/207.76 => V_x_2 = V_y_2 ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold__image__empty,axiom,
% 206.72/207.76 ! [V_z_2,V_g_2,V_f_2,T_d,T_c] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_d,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = V_z_2 ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fun__left__comm__idem__sup,axiom,
% 206.72/207.76 ! [T_c] :
% 206.72/207.76 ( class_Lattices_Osemilattice__sup(T_c)
% 206.72/207.76 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_sup__Un__eq,axiom,
% 206.72/207.76 ! [V_x_2,V_S_2,V_R_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_R_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_S_2)),V_x_2))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_range__composition,axiom,
% 206.72/207.76 ! [V_g_2,V_f_2,T_e,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,hAPP(hAPP(c_COMBB(T_e,T_c,T_d),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_e,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_e,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inj__fun,axiom,
% 206.72/207.76 ! [T_e,V_f_2,T_d,T_c] :
% 206.72/207.76 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.76 => c_Fun_Oinj__on(T_c,tc_fun(T_e,T_d),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,T_d),T_c),c_COMBK(T_d,T_e)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_top__greatest,axiom,
% 206.72/207.76 ! [V_x,T_a] :
% 206.72/207.76 ( class_Orderings_Otop(T_a)
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_fold__image__def,axiom,
% 206.72/207.76 ! [V_g_2,V_f_2,T_d,T_c] : hAPP(c_Finite__Set_Ofold__image(T_c,T_d,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_d,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_card__insert__le,axiom,
% 206.72/207.76 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_card__mono,axiom,
% 206.72/207.76 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_card__seteq,axiom,
% 206.72/207.76 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)))
% 206.72/207.76 => V_A_2 = V_B_2 ) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_card__image__le,axiom,
% 206.72/207.76 ! [V_f_2,T_d,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_d),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_pigeonhole,axiom,
% 206.72/207.76 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_d),V_A_2)))
% 206.72/207.76 => ~ c_Fun_Oinj__on(T_d,T_c,V_f_2,V_A_2) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_card__image,axiom,
% 206.72/207.76 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.76 => hAPP(c_Finite__Set_Ocard(T_d),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_insert__is__Un,axiom,
% 206.72/207.76 ! [V_A_2,V_a_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),V_A_2) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Diff__subset__conv,axiom,
% 206.72/207.76 ! [V_C_2,V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 206.72/207.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_Diff__partition,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_psubset__card__mono,axiom,
% 206.72/207.76 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 206.72/207.76 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.76 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.76 => ( hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)
% 206.72/207.76 <=> V_A_2 = V_B_2 ) ) ).
% 206.72/207.76
% 206.72/207.76 fof(fact_rangeI,axiom,
% 206.72/207.76 ! [T_d,V_x_2,V_f_2,T_c] : hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))))) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_range__eqI,axiom,
% 206.72/207.77 ! [T_d,T_c,V_x_2,V_f_2,V_b_2] :
% 206.72/207.77 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_image__eq__fold__image,axiom,
% 206.72/207.77 ! [V_f_2,T_d,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_d,tc_HOL_Obool),T_c,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_d,tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_d)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))),V_A_2) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Diff__UNIV,axiom,
% 206.72/207.77 ! [V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Compl__Diff__eq,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(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(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inj__image__eq__iff,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.77 => ( hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)
% 206.72/207.77 <=> V_A_2 = V_B_2 ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Compl__empty__eq,axiom,
% 206.72/207.77 ! [T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Compl__UNIV__eq,axiom,
% 206.72/207.77 ! [T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_finite__compl,axiom,
% 206.72/207.77 ! [V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))
% 206.72/207.77 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 206.72/207.77 ! [V_A_2,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_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_A_2) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inj__singleton,axiom,
% 206.72/207.77 ! [T_c] : c_Fun_Oinj__on(T_c,tc_fun(T_c,tc_HOL_Obool),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))),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_finite__range__imageI,axiom,
% 206.72/207.77 ! [V_f_2,T_e,V_g_2,T_d,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))))
% 206.72/207.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_e),hAPP(c_Set_Oimage(T_d,T_e,hAPP(hAPP(c_COMBB(T_c,T_e,T_d),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_the__inv__f__f,axiom,
% 206.72/207.77 ! [V_x_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.77 => hAPP(c_Fun_Othe__inv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Finite__Set_Ofolding__image__simple__idem(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.72/207.77 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,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)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 206.72/207.77 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Finite__Set_Ofolding__image__simple(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.77 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_d,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inj__on__iff__eq__card,axiom,
% 206.72/207.77 ! [V_f_2,T_d,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.77 <=> hAPP(c_Finite__Set_Ocard(T_d),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_eq__card__imp__inj__on,axiom,
% 206.72/207.77 ! [V_f_2,T_d,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hAPP(c_Finite__Set_Ocard(T_d),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2)
% 206.72/207.77 => c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__card__le__card__Diff,axiom,
% 206.72/207.77 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.77 => 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_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_fold__sup__insert,axiom,
% 206.72/207.77 ! [V_a_2,V_b_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Osemilattice__sup(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_b_2),V_A_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__psubset,axiom,
% 206.72/207.77 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_compl__top__eq,axiom,
% 206.72/207.77 ! [T_a] :
% 206.72/207.77 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.77 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_compl__bot__eq,axiom,
% 206.72/207.77 ! [T_a] :
% 206.72/207.77 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.77 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_range__ex1__eq,axiom,
% 206.72/207.77 ! [V_b_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 206.72/207.77 <=> ? [B_x] :
% 206.72/207.77 ( V_b_2 = hAPP(V_f_2,B_x)
% 206.72/207.77 & ! [B_y] :
% 206.72/207.77 ( V_b_2 = hAPP(V_f_2,B_y)
% 206.72/207.77 => B_y = B_x ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inj__image__mem__iff,axiom,
% 206.72/207.77 ! [V_A_2,V_a_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_d),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_finite__UNIV__inj__surj,axiom,
% 206.72/207.77 ! [V_f_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 206.72/207.77 => ( c_Fun_Oinj__on(T_c,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.77 => hAPP(c_Set_Oimage(T_c,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_c,tc_HOL_Obool)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_finite__UNIV__surj__inj,axiom,
% 206.72/207.77 ! [V_f_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 206.72/207.77 => ( hAPP(c_Set_Oimage(T_c,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_c,tc_HOL_Obool))
% 206.72/207.77 => c_Fun_Oinj__on(T_c,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inj__image__subset__iff,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_image__set__diff,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.77 => hAPP(c_Set_Oimage(T_c,T_d,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_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_surj__Compl__image__subset,axiom,
% 206.72/207.77 ! [V_A_2,V_f_2,T_c,T_d] :
% 206.72/207.77 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_d,tc_HOL_Obool)),V_A_2)))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.77 ( c_Finite__Set_Ofolding__one__idem(T_c,V_f_2,V_F_2)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => 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)) ) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__monoid__big_OF__eq,axiom,
% 206.72/207.77 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Big__Operators_Ocomm__monoid__big(T_c,T_d,V_f_2,V_z_2,V_F_2)
% 206.72/207.77 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.77 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_d,V_f_2),V_g_2),V_z_2),V_A_2) )
% 206.72/207.77 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.77 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__Diff1__le,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),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)))))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_sup__le__fold__sup,axiom,
% 206.72/207.77 ! [V_b_2,V_a_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Osemilattice__sup(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_b_2),V_A_2))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__inj__on__le,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_d),V_B_2))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__bij__eq,axiom,
% 206.72/207.77 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2))
% 206.72/207.77 => ( c_Fun_Oinj__on(T_d,T_c,V_g_2,V_B_2)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_B_2)),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.72/207.77 => hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = hAPP(c_Finite__Set_Ocard(T_d),V_B_2) ) ) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__Diff__subset,axiom,
% 206.72/207.77 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.77 => hAPP(c_Finite__Set_Ocard(T_c),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_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_union__fold__insert,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,tc_fun(T_c,tc_HOL_Obool),c_Set_Oinsert(T_c)),V_B_2),V_A_2) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_fold1__Un2,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Oab__semigroup__idem__mult(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),V_B_2)) ) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inj__on__iff__card__le,axiom,
% 206.72/207.77 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.72/207.77 => ( ? [B_f] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,B_f,V_A_2)
% 206.72/207.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,B_f),V_A_2)),V_B_2)) )
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_d),V_B_2))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__Diff__singleton__if,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.77 => hAPP(c_Finite__Set_Ocard(T_c),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))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 206.72/207.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.77 => hAPP(c_Finite__Set_Ocard(T_c),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))))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__Diff__singleton,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.77 => hAPP(c_Finite__Set_Ocard(T_c),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))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__less__mono,axiom,
% 206.72/207.77 ! [V_c,V_b,V_a] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 206.72/207.77 => 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))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__diff__iff,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_k_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 206.72/207.77 => ( 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)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__less__mono2,axiom,
% 206.72/207.77 ! [V_l,V_n,V_m] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 206.72/207.77 => 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))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__imp__diff__less,axiom,
% 206.72/207.77 ! [V_n,V_k,V_j] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__diff__inverse,axiom,
% 206.72/207.77 ! [V_n,V_m] :
% 206.72/207.77 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 => 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 ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__diff__conv,axiom,
% 206.72/207.77 ! [V_k_2,V_j_2,V_i_2] :
% 206.72/207.77 ( 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)))
% 206.72/207.77 <=> 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__UNIV__unit,axiom,
% 206.72/207.77 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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__refl,axiom,
% 206.72/207.77 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__add2,axiom,
% 206.72/207.77 ! [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))) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__add1,axiom,
% 206.72/207.77 ! [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))) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inj__on__add__nat,axiom,
% 206.72/207.77 ! [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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__iff__add,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.77 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__le__linear,axiom,
% 206.72/207.77 ! [V_n,V_m] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__add__left__cancel__le,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_k_2] :
% 206.72/207.77 ( 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)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_eq__imp__le,axiom,
% 206.72/207.77 ! [V_n,V_m] :
% 206.72/207.77 ( V_m = V_n
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_trans__le__add1,axiom,
% 206.72/207.77 ! [V_m,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_trans__le__add2,axiom,
% 206.72/207.77 ! [V_m,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__le__mono1,axiom,
% 206.72/207.77 ! [V_k,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__trans,axiom,
% 206.72/207.77 ! [V_k,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__antisym,axiom,
% 206.72/207.77 ! [V_n,V_m] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.72/207.77 => V_m = V_n ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__le__mono,axiom,
% 206.72/207.77 ! [V_l,V_k,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 206.72/207.77 => 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))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__leD2,axiom,
% 206.72/207.77 ! [V_n,V_k,V_m] :
% 206.72/207.77 ( 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))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__leD1,axiom,
% 206.72/207.77 ! [V_n,V_k,V_m] :
% 206.72/207.77 ( 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))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__leE,axiom,
% 206.72/207.77 ! [V_n,V_k,V_m] :
% 206.72/207.77 ( 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))
% 206.72/207.77 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 206.72/207.77 ! [V_N_2] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 206.72/207.77 <=> ? [B_m] :
% 206.72/207.77 ! [B_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__add__right__cancel,axiom,
% 206.72/207.77 ! [V_n_2,V_k_2,V_m_2] :
% 206.72/207.77 ( 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)
% 206.72/207.77 <=> V_m_2 = V_n_2 ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__add__left__cancel,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_k_2] :
% 206.72/207.77 ( 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)
% 206.72/207.77 <=> V_m_2 = V_n_2 ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__add__assoc,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__add__left__commute,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__add__commute,axiom,
% 206.72/207.77 ! [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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_one__reorient,axiom,
% 206.72/207.77 ! [V_x_2,T_c] :
% 206.72/207.77 ( class_Groups_Oone(T_c)
% 206.72/207.77 => ( c_Groups_Oone__class_Oone(T_c) = V_x_2
% 206.72/207.77 <=> V_x_2 = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__mult__eq__1__iff,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2] :
% 206.72/207.77 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 206.72/207.77 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 206.72/207.77 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__mult__1__right,axiom,
% 206.72/207.77 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__1__eq__mult__iff,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2] :
% 206.72/207.77 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 206.72/207.77 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 206.72/207.77 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__mult__1,axiom,
% 206.72/207.77 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__mult__distrib2,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__mult__distrib,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_mult__le__mono,axiom,
% 206.72/207.77 ! [V_l,V_k,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 206.72/207.77 => 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))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_mult__le__mono2,axiom,
% 206.72/207.77 ! [V_k,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_mult__le__mono1,axiom,
% 206.72/207.77 ! [V_k,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__cube,axiom,
% 206.72/207.77 ! [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)))) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__square,axiom,
% 206.72/207.77 ! [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))) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_mult_Ocomm__neutral,axiom,
% 206.72/207.77 ! [V_a,T_a] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_mult__1__right,axiom,
% 206.72/207.77 ! [V_a,T_a] :
% 206.72/207.77 ( class_Groups_Omonoid__mult(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_mult__1,axiom,
% 206.72/207.77 ! [V_a,T_a] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_mult__1__left,axiom,
% 206.72/207.77 ! [V_a,T_a] :
% 206.72/207.77 ( class_Groups_Omonoid__mult(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 206.72/207.77 ! [V_a,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 206.72/207.77 ! [V_a,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__eq__1__iff,axiom,
% 206.72/207.77 ! [V_f_2,V_F_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.72/207.77 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 206.72/207.77 <=> ! [B_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_F_2))
% 206.72/207.77 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__1,axiom,
% 206.72/207.77 ! [V_A_2,T_d,T_c] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),hAPP(c_COMBK(T_c,T_d),c_Groups_Oone__class_Oone(T_c))),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__add__one,axiom,
% 206.72/207.77 ! [V_a,T_a] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_a)
% 206.72/207.77 => 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)))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__1__mult,axiom,
% 206.72/207.77 ! [V_n,V_m,T_a] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 206.72/207.77 => 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))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 206.72/207.77 ! [V_m,V_a,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 206.72/207.77 ! [V_a,V_m,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 206.72/207.77 ! [V_m,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 206.72/207.77 ! [V_x,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__ring__1(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_square__eq__1__iff,axiom,
% 206.72/207.77 ! [V_x_2,T_c] :
% 206.72/207.77 ( class_Rings_Oring__1__no__zero__divisors(T_c)
% 206.72/207.77 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_c)
% 206.72/207.77 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_c)
% 206.72/207.77 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),c_Groups_Oone__class_Oone(T_c)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod_Oempty,axiom,
% 206.72/207.77 ! [V_g_2,T_d,T_c] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_c) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__empty,axiom,
% 206.72/207.77 ! [V_f_2,T_d,T_c] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_c) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__infinite,axiom,
% 206.72/207.77 ! [V_f_2,V_A_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_d) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod_Oinfinite,axiom,
% 206.72/207.77 ! [V_g_2,V_A_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_d) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__eq__setsum,axiom,
% 206.72/207.77 ! [V_A_2,T_c] : hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_c),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__less__le,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.77 & V_m_2 != V_n_2 ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__eq__less__or__eq,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.77 | V_m_2 = V_n_2 ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__imp__le__nat,axiom,
% 206.72/207.77 ! [V_n,V_m] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__neq__implies__less,axiom,
% 206.72/207.77 ! [V_n,V_m] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 => ( V_m != V_n
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__or__eq__imp__le,axiom,
% 206.72/207.77 ! [V_n,V_m] :
% 206.72/207.77 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 | V_m = V_n )
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__lessD1,axiom,
% 206.72/207.77 ! [V_k,V_j,V_i] :
% 206.72/207.77 ( 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))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__add__eq__less,axiom,
% 206.72/207.77 ! [V_n,V_m,V_l,V_k] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 206.72/207.77 => ( 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)
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__less__mono,axiom,
% 206.72/207.77 ! [V_l,V_k,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 206.72/207.77 => 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))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__less__mono1,axiom,
% 206.72/207.77 ! [V_k,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_trans__less__add2,axiom,
% 206.72/207.77 ! [V_m,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_trans__less__add1,axiom,
% 206.72/207.77 ! [V_m,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__add__left__cancel__less,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_k_2] :
% 206.72/207.77 ( 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)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_not__add__less2,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_not__add__less1,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__not__refl,axiom,
% 206.72/207.77 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__neq__iff,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2] :
% 206.72/207.77 ( V_m_2 != V_n_2
% 206.72/207.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_linorder__neqE__nat,axiom,
% 206.72/207.77 ! [V_y,V_x] :
% 206.72/207.77 ( V_x != V_y
% 206.72/207.77 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__irrefl__nat,axiom,
% 206.72/207.77 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__not__refl2,axiom,
% 206.72/207.77 ! [V_m,V_n] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 206.72/207.77 => V_m != V_n ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__not__refl3,axiom,
% 206.72/207.77 ! [V_t,V_s] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 206.72/207.77 => V_s != V_t ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__less__cases,axiom,
% 206.72/207.77 ! [V_Pa_2,V_n_2,V_m_2] :
% 206.72/207.77 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 206.72/207.77 => ( ( V_m_2 = V_n_2
% 206.72/207.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 206.72/207.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 206.72/207.77 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_finite__nat__set__iff__bounded,axiom,
% 206.72/207.77 ! [V_N_2] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 206.72/207.77 <=> ? [B_m] :
% 206.72/207.77 ! [B_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__delta,axiom,
% 206.72/207.77 ! [V_b_2,V_a_2,V_S_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.72/207.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_d))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 206.72/207.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_d))),V_S_2) = c_Groups_Oone__class_Oone(T_d) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__delta_H,axiom,
% 206.72/207.77 ! [V_b_2,V_a_2,V_S_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.72/207.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_d))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 206.72/207.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_d))),V_S_2) = c_Groups_Oone__class_Oone(T_d) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__minus__add__max,axiom,
% 206.72/207.77 ! [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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_min__diff,axiom,
% 206.72/207.77 ! [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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__mult__distrib2,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__mult__distrib,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__add__inverse2,axiom,
% 206.72/207.77 ! [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 ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__add__inverse,axiom,
% 206.72/207.77 ! [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 ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__diff__left,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__commute,axiom,
% 206.72/207.77 ! [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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__cancel,axiom,
% 206.72/207.77 ! [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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__cancel2,axiom,
% 206.72/207.77 ! [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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__diff__iff,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_k_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 206.72/207.77 => ( 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)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Nat_Odiff__diff__eq,axiom,
% 206.72/207.77 ! [V_n,V_m,V_k] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 206.72/207.77 => 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) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_eq__diff__iff,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_k_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 206.72/207.77 => ( 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)
% 206.72/207.77 <=> V_m_2 = V_n_2 ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__add__assoc2,axiom,
% 206.72/207.77 ! [V_i,V_j,V_k] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__diff__assoc2,axiom,
% 206.72/207.77 ! [V_i,V_j,V_k] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__add__assoc,axiom,
% 206.72/207.77 ! [V_i,V_j,V_k] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__imp__diff__is__add,axiom,
% 206.72/207.77 ! [V_k_2,V_j_2,V_i_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 206.72/207.77 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 206.72/207.77 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__add__diff__inverse2,axiom,
% 206.72/207.77 ! [V_m,V_n] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.72/207.77 => 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 ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__diff__conv2,axiom,
% 206.72/207.77 ! [V_i_2,V_j_2,V_k_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 206.72/207.77 => ( 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)))
% 206.72/207.77 <=> 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)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_add__diff__assoc,axiom,
% 206.72/207.77 ! [V_i,V_j,V_k] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__add__diff__inverse,axiom,
% 206.72/207.77 ! [V_m,V_n] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.72/207.77 => 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 ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__diff__cancel,axiom,
% 206.72/207.77 ! [V_n,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 206.72/207.77 => 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 ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__le__mono,axiom,
% 206.72/207.77 ! [V_l,V_n,V_m] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__le__mono2,axiom,
% 206.72/207.77 ! [V_l,V_n,V_m] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__add__diff,axiom,
% 206.72/207.77 ! [V_m,V_n,V_k] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__diff__conv,axiom,
% 206.72/207.77 ! [V_i_2,V_k_2,V_j_2] :
% 206.72/207.77 ( 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))
% 206.72/207.77 <=> 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__diff__right,axiom,
% 206.72/207.77 ! [V_i,V_j,V_k] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_diff__le__self,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_fold__image__distrib,axiom,
% 206.72/207.77 ! [V_h_2,V_g_2,V_A_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_c,T_d,T_d),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_c),c_Groups_Otimes__class_Otimes(T_d)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),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)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_h_2),c_Groups_Oone__class_Oone(T_d)),V_A_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card_Oinsert,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.77 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),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_c),V_A_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod_OF__eq,axiom,
% 206.72/207.77 ! [V_g_2,V_A_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2) = 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)),V_A_2) )
% 206.72/207.77 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_d) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod_Oeq__fold,axiom,
% 206.72/207.77 ! [V_g_2,V_A_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2) = 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)),V_A_2) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card_Oinsert__remove,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),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_c),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)))))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card_Oremove,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.77 => hAPP(c_Finite__Set_Ocard(T_c),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_c),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)))))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_card__Diff__insert,axiom,
% 206.72/207.77 ! [V_B_2,V_a_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_B_2))
% 206.72/207.77 => hAPP(c_Finite__Set_Ocard(T_c),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_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__less__add__iff2,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 206.72/207.77 => ( 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)))
% 206.72/207.77 <=> 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))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__less__add__iff1,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 206.72/207.77 => ( 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)))
% 206.72/207.77 <=> 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)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__le__add__iff1,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 206.72/207.77 => ( 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)))
% 206.72/207.77 <=> 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)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__diff__add__eq1,axiom,
% 206.72/207.77 ! [V_n,V_m,V_u,V_i,V_j] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__eq__add__iff1,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 206.72/207.77 => ( 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)
% 206.72/207.77 <=> 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 ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__le__add__iff2,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 206.72/207.77 => ( 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)))
% 206.72/207.77 <=> 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))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__diff__add__eq2,axiom,
% 206.72/207.77 ! [V_n,V_m,V_u,V_j,V_i] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__eq__add__iff2,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 206.72/207.77 => ( 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)
% 206.72/207.77 <=> 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) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_sup__nat__def,axiom,
% 206.72/207.77 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_infinite__UNIV__nat,axiom,
% 206.72/207.77 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__mult__assoc,axiom,
% 206.72/207.77 ! [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)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_nat__mult__commute,axiom,
% 206.72/207.77 ! [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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_left__add__mult__distrib,axiom,
% 206.72/207.77 ! [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) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_ord_OatMost__iff,axiom,
% 206.72/207.77 ! [V_k_2,V_less__eq_2,V_i_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),c_SetInterval_Oord_OatMost(T_c,V_less__eq_2,V_k_2)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_ord_OatLeast__iff,axiom,
% 206.72/207.77 ! [V_k_2,V_less__eq_2,V_i_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),c_SetInterval_Oord_OatLeast(T_c,V_less__eq_2,V_k_2)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_ord_OlessThan__iff,axiom,
% 206.72/207.77 ! [V_k_2,V_less_2,V_i_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),c_SetInterval_Oord_OlessThan(T_c,V_less_2,V_k_2)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_ord_OgreaterThan__iff,axiom,
% 206.72/207.77 ! [V_k_2,V_less_2,V_i_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),c_SetInterval_Oord_OgreaterThan(T_c,V_less_2,V_k_2)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 206.72/207.77 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_c,V_less__eq_2,V_l_2,V_u_2)))
% 206.72/207.77 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 206.72/207.77 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 206.72/207.77 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_c,V_less_2,V_l_2,V_u_2)))
% 206.72/207.77 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 206.72/207.77 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 206.72/207.77 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_c,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 206.72/207.77 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 206.72/207.77 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 206.72/207.77 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_c,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 206.72/207.77 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 206.72/207.77 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__gen__delta,axiom,
% 206.72/207.77 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.72/207.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_d),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 206.72/207.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_d),V_c_2),hAPP(c_Finite__Set_Ocard(T_c),V_S_2)) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_termination__basic__simps_I3_J,axiom,
% 206.72/207.77 ! [V_z,V_y,V_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_termination__basic__simps_I4_J,axiom,
% 206.72/207.77 ! [V_y,V_z,V_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_termination__basic__simps_I5_J,axiom,
% 206.72/207.77 ! [V_y,V_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_termination__basic__simps_I2_J,axiom,
% 206.72/207.77 ! [V_y,V_z,V_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_termination__basic__simps_I1_J,axiom,
% 206.72/207.77 ! [V_z,V_y,V_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 206.72/207.77 => 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))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Oremove,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.77 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2) = V_x_2 )
% 206.72/207.77 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_c,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)))))) ) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_iso__tuple__UNIV__I,axiom,
% 206.72/207.77 ! [V_x_2,T_c] : hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 206.72/207.77 ! [V_q,V_y,V_x,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 206.72/207.77 ! [V_q,V_p,V_x,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 206.72/207.77 ! [V_x,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 206.72/207.77 ! [V_q,V_p,V_x,T_a] :
% 206.72/207.77 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Osingleton,axiom,
% 206.72/207.77 ! [V_x_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_x_2 ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__constant,axiom,
% 206.72/207.77 ! [V_y_2,V_A_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(c_COMBK(T_d,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_d),V_y_2),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Oin__idem,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_OF__eq,axiom,
% 206.72/207.77 ! [V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_A_2) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Osubset__idem,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Ounion__idem,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,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(T_c),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_B_2)) ) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 206.72/207.77 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_a_2),V_A_2) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Oinsert,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = V_x_2 )
% 206.72/207.77 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_c,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)))))) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.77 => c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_x_2),V_A_2) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__le__imp__le__exp,axiom,
% 206.72/207.77 ! [V_n,V_m,V_a,T_a] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 206.72/207.77 => ( 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)))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__increasing__iff,axiom,
% 206.72/207.77 ! [V_y_2,V_x_2,V_b_2,T_c] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Oone__class_Oone(T_c)),V_b_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_b_2),V_y_2)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__minus,axiom,
% 206.72/207.77 ! [V_n,V_a,T_a] :
% 206.72/207.77 ( class_Rings_Oring__1(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__increasing,axiom,
% 206.72/207.77 ! [V_a,V_N,V_n,T_a] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 206.72/207.77 => 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))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__strict__increasing,axiom,
% 206.72/207.77 ! [V_a,V_N,V_n,T_a] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 206.72/207.77 => 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))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__less__imp__less__exp,axiom,
% 206.72/207.77 ! [V_n,V_m,V_a,T_a] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 206.72/207.77 => ( 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)))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__strict__increasing__iff,axiom,
% 206.72/207.77 ! [V_y_2,V_x_2,V_b_2,T_c] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Oone__class_Oone(T_c)),V_b_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_b_2),V_y_2)))
% 206.72/207.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__less__power__Suc,axiom,
% 206.72/207.77 ! [V_n,V_a,T_a] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 206.72/207.77 => 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)))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__commutes,axiom,
% 206.72/207.77 ! [V_n,V_a,T_a] :
% 206.72/207.77 ( class_Groups_Omonoid__mult(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__mult__distrib,axiom,
% 206.72/207.77 ! [V_n,V_b,V_a,T_a] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__one,axiom,
% 206.72/207.77 ! [V_n,T_a] :
% 206.72/207.77 ( class_Groups_Omonoid__mult(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__mult,axiom,
% 206.72/207.77 ! [V_n,V_m,V_a,T_a] :
% 206.72/207.77 ( class_Groups_Omonoid__mult(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__one__right,axiom,
% 206.72/207.77 ! [V_a,T_a] :
% 206.72/207.77 ( class_Groups_Omonoid__mult(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_one__le__power,axiom,
% 206.72/207.77 ! [V_n,V_a,T_a] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 206.72/207.77 => 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))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__inject__exp,axiom,
% 206.72/207.77 ! [V_n_2,V_m_2,V_a_2,T_c] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Oone__class_Oone(T_c)),V_a_2))
% 206.72/207.77 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_a_2),V_n_2)
% 206.72/207.77 <=> V_m_2 = V_n_2 ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__add,axiom,
% 206.72/207.77 ! [V_n,V_m,V_a,T_a] :
% 206.72/207.77 ( class_Groups_Omonoid__mult(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__gt1__lemma,axiom,
% 206.72/207.77 ! [V_n,V_a,T_a] :
% 206.72/207.77 ( class_Rings_Olinordered__semidom(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 206.72/207.77 => 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)))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_power__power__power,axiom,
% 206.72/207.77 ! [T_c] :
% 206.72/207.77 ( class_Power_Opower(T_c)
% 206.72/207.77 => c_Power_Opower__class_Opower(T_c) = c_Power_Opower_Opower(T_c,c_Groups_Oone__class_Oone(T_c),c_Groups_Otimes__class_Otimes(T_c)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Oclosed,axiom,
% 206.72/207.77 ! [V_A_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),hAPP(hAPP(c_Set_Oinsert(T_c),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_member(T_c),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)),V_A_2)) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inj__vimage__singleton,axiom,
% 206.72/207.77 ! [V_a_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_c),c_HOL_OThe(T_c,hAPP(hAPP(c_COMBC(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_c),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Sup__fin_Ohom__commute,axiom,
% 206.72/207.77 ! [V_N_2,V_h_2,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.72/207.77 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.77 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_c,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_N_2)) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_SUPR__fold__sup,axiom,
% 206.72/207.77 ! [V_f_2,V_A_2,T_c,T_d] :
% 206.72/207.77 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_d),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_d)),V_f_2)),c_Orderings_Obot__class_Obot(T_d)),V_A_2) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__mono__one__right,axiom,
% 206.72/207.77 ! [V_f_2,V_S_2,V_T_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_T_2))
% 206.72/207.77 => ( ! [B_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_T_2),V_S_2)))
% 206.72/207.77 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_d) )
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_S_2) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_setprod__mono__one__left,axiom,
% 206.72/207.77 ! [V_f_2,V_S_2,V_T_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_T_2))
% 206.72/207.77 => ( ! [B_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_T_2),V_S_2)))
% 206.72/207.77 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_d) )
% 206.72/207.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_T_2) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_fold__Un__disjoint,axiom,
% 206.72/207.77 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.77 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.77 => ( 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))
% 206.72/207.77 => 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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),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)),V_A_2)),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)),V_B_2)) ) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf1I,axiom,
% 206.72/207.77 ! [T_c,V_B_2,V_x_2,V_A_2] :
% 206.72/207.77 ( hBOOL(hAPP(V_A_2,V_x_2))
% 206.72/207.77 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf1E,axiom,
% 206.72/207.77 ! [V_x_2,V_B_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 206.72/207.77 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 206.72/207.77 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_SUP1__I,axiom,
% 206.72/207.77 ! [T_d,V_b_2,V_B_2,V_A_2,V_a_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 206.72/207.77 => hBOOL(hAPP(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_b_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_SUP2__I,axiom,
% 206.72/207.77 ! [T_e,T_d,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_IntI,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_IntE,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.77 => ~ ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.77 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_finite__Int,axiom,
% 206.72/207.77 ! [V_Ga_2,V_F_2,T_c] :
% 206.72/207.77 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.72/207.77 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_Ga_2)) )
% 206.72/207.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_vimageI,axiom,
% 206.72/207.77 ! [T_d,V_B_2,T_c,V_b_2,V_a_2,V_f_2] :
% 206.72/207.77 ( hAPP(V_f_2,V_a_2) = V_b_2
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),V_B_2))
% 206.72/207.77 => hBOOL(hAPP(hAPP(c_member(T_d),V_a_2),hAPP(c_Set_Ovimage(T_d,T_c,V_f_2),V_B_2))) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Inf__fin_Oidem,axiom,
% 206.72/207.77 ! [V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Olattice(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Int__absorb,axiom,
% 206.72/207.77 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Int__commute,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,T_c] : 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_c,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Int__left__absorb,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_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_c,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Int__left__commute,axiom,
% 206.72/207.77 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_vimage__Int,axiom,
% 206.72/207.77 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,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_Ovimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_B_2)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_Int__assoc,axiom,
% 206.72/207.77 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_vimage__code,axiom,
% 206.72/207.77 ! [V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_A_2),V_x_2))
% 206.72/207.77 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf1D1,axiom,
% 206.72/207.77 ! [V_x_2,V_B_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 206.72/207.77 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf1D2,axiom,
% 206.72/207.77 ! [V_x_2,V_B_2,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 206.72/207.77 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf_Oidem,axiom,
% 206.72/207.77 ! [V_a,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__idem,axiom,
% 206.72/207.77 ! [V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__fun__def,axiom,
% 206.72/207.77 ! [V_x_2,V_g_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,T_c)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf_Ocommute,axiom,
% 206.72/207.77 ! [V_b,V_a,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__sup__aci_I1_J,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Olattice(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__commute,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf_Oleft__idem,axiom,
% 206.72/207.77 ! [V_b,V_a,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__sup__aci_I4_J,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Olattice(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__left__idem,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf_Oleft__commute,axiom,
% 206.72/207.77 ! [V_c,V_a,V_b,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__sup__aci_I3_J,axiom,
% 206.72/207.77 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Olattice(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__left__commute,axiom,
% 206.72/207.77 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf_Oassoc,axiom,
% 206.72/207.77 ! [V_c,V_b,V_a,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__sup__aci_I2_J,axiom,
% 206.72/207.77 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Olattice(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__assoc,axiom,
% 206.72/207.77 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__apply,axiom,
% 206.72/207.77 ! [V_x_2,V_g_2,V_f_2,T_d,T_c] :
% 206.72/207.77 ( class_Lattices_Olattice(T_c)
% 206.72/207.77 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,T_c)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_vimage__ident,axiom,
% 206.72/207.77 ! [V_Y_2,T_c] : hAPP(c_Set_Ovimage(T_c,T_c,c_COMBI(T_c)),V_Y_2) = V_Y_2 ).
% 206.72/207.77
% 206.72/207.77 fof(fact_image__vimage__eq,axiom,
% 206.72/207.77 ! [V_A_2,V_f_2,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_finite__UN,axiom,
% 206.72/207.77 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.72/207.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.77 <=> ! [B_x] :
% 206.72/207.77 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(V_B_2,B_x))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__sup__ord_I1_J,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Olattice(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__le1,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__sup__ord_I2_J,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Olattice(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__le2,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => 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)) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__iff__inf,axiom,
% 206.72/207.77 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.77 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2),V_y_2) = V_x_2 ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__inf__iff,axiom,
% 206.72/207.77 ! [V_z_2,V_y_2,V_x_2,T_c] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_c)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_y_2),V_z_2)))
% 206.72/207.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.72/207.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_z_2)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__infI1,axiom,
% 206.72/207.77 ! [V_b,V_x,V_a,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 206.72/207.77 => 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)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__infI2,axiom,
% 206.72/207.77 ! [V_a,V_x,V_b,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 206.72/207.77 => 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)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__absorb1,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__absorb2,axiom,
% 206.72/207.77 ! [V_x,V_y,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 206.72/207.77 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__infI,axiom,
% 206.72/207.77 ! [V_b,V_a,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 206.72/207.77 => 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))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__greatest,axiom,
% 206.72/207.77 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 206.72/207.77 => 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))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__mono,axiom,
% 206.72/207.77 ! [V_d,V_b,V_c,V_a,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 206.72/207.77 => 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))) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_le__infE,axiom,
% 206.72/207.77 ! [V_b,V_a,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( 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)))
% 206.72/207.77 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 206.72/207.77 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__infI1,axiom,
% 206.72/207.77 ! [V_b,V_x,V_a,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 206.72/207.77 => 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)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_less__infI2,axiom,
% 206.72/207.77 ! [V_a,V_x,V_b,T_a] :
% 206.72/207.77 ( class_Lattices_Osemilattice__inf(T_a)
% 206.72/207.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 206.72/207.77 => 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)) ) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__bot__left,axiom,
% 206.72/207.77 ! [V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Obounded__lattice__bot(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__bot__right,axiom,
% 206.72/207.77 ! [V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Obounded__lattice__bot(T_a)
% 206.72/207.77 => 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) ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_inf__sup__absorb,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Olattice(T_a)
% 206.72/207.77 => 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 ) ).
% 206.72/207.77
% 206.72/207.77 fof(fact_sup__inf__absorb,axiom,
% 206.72/207.77 ! [V_y,V_x,T_a] :
% 206.72/207.77 ( class_Lattices_Olattice(T_a)
% 206.72/207.77 => 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 ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__sup__distrib1,axiom,
% 206.72/207.78 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Odistrib__lattice(T_a)
% 206.72/207.78 => 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)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_sup__inf__distrib1,axiom,
% 206.72/207.78 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Odistrib__lattice(T_a)
% 206.72/207.78 => 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)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__sup__distrib2,axiom,
% 206.72/207.78 ! [V_x,V_z,V_y,T_a] :
% 206.72/207.78 ( class_Lattices_Odistrib__lattice(T_a)
% 206.72/207.78 => 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)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_sup__inf__distrib2,axiom,
% 206.72/207.78 ! [V_x,V_z,V_y,T_a] :
% 206.72/207.78 ( class_Lattices_Odistrib__lattice(T_a)
% 206.72/207.78 => 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)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__top__left,axiom,
% 206.72/207.78 ! [V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Obounded__lattice__top(T_a)
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__top__right,axiom,
% 206.72/207.78 ! [V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Obounded__lattice__top(T_a)
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__eq__top__iff,axiom,
% 206.72/207.78 ! [V_y_2,V_x_2,T_c] :
% 206.72/207.78 ( class_Lattices_Obounded__lattice__top(T_c)
% 206.72/207.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_c)
% 206.72/207.78 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_c)
% 206.72/207.78 & V_y_2 = c_Orderings_Otop__class_Otop(T_c) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__eq,axiom,
% 206.72/207.78 ! [V_B_2,V_f_2,T_d,V_a_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_B_2)))
% 206.72/207.78 <=> hBOOL(hAPP(hAPP(c_member(T_d),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimageD,axiom,
% 206.72/207.78 ! [V_A_2,V_f_2,T_d,V_a_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_A_2)))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimageI2,axiom,
% 206.72/207.78 ! [T_d,V_A_2,V_a_2,V_f_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_member(T_d),V_a_2),hAPP(c_Set_Ovimage(T_d,T_c,V_f_2),V_A_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__iff,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.78 <=> ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.78 & hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_IntD1,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_IntD2,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_c_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_B_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__min,axiom,
% 206.72/207.78 ! [T_c] :
% 206.72/207.78 ( ( class_Lattices_Osemilattice__inf(T_c)
% 206.72/207.78 & class_Orderings_Olinorder(T_c) )
% 206.72/207.78 => c_Lattices_Osemilattice__inf__class_Oinf(T_c) = c_Orderings_Oord__class_Omin(T_c) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__empty,axiom,
% 206.72/207.78 ! [V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__empty__left,axiom,
% 206.72/207.78 ! [V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__empty__right,axiom,
% 206.72/207.78 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_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)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_disjoint__iff__not__equal,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( 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))
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.78 => ! [B_xa] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_B_2))
% 206.72/207.78 => B_x != B_xa ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__mono,axiom,
% 206.72/207.78 ! [V_f_2,T_d,V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_d,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_d,T_c,V_f_2),V_B_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__UNIV,axiom,
% 206.72/207.78 ! [V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_insert__inter__insert,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_a_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),hAPP(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_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__Un,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,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(c_Set_Ovimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__lower1,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__lower2,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__absorb2,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__absorb1,axiom,
% 206.72/207.78 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__greatest,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__mono,axiom,
% 206.72/207.78 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__UNIV__left,axiom,
% 206.72/207.78 ! [V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__UNIV__right,axiom,
% 206.72/207.78 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = V_A_2 ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__Un__distrib,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Un__Int__distrib,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__Un__distrib2,axiom,
% 206.72/207.78 ! [V_A_2,V_C_2,V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Un__Int__distrib2,axiom,
% 206.72/207.78 ! [V_A_2,V_C_2,V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Un__Int__crazy,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__Diff,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,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_Ovimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Diff__Int__distrib,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_C_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_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__Diff,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Diff__Int__distrib2,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Diff__Int2,axiom,
% 206.72/207.78 ! [V_B_2,V_C_2,V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inj__on__Int,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.78 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.78 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_B_2)
% 206.72/207.78 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__Compl,axiom,
% 206.72/207.78 ! [V_A_2,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_d,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_A_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_fun__left__comm__idem__inf,axiom,
% 206.72/207.78 ! [T_c] :
% 206.72/207.78 ( class_Lattices_Osemilattice__inf(T_c)
% 206.72/207.78 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__Int__eq,axiom,
% 206.72/207.78 ! [V_x_2,V_S_2,V_R_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_R_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_S_2)),V_x_2))
% 206.72/207.78 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_distrib__inf__le,axiom,
% 206.72/207.78 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Olattice(T_a)
% 206.72/207.78 => 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)))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_distrib__sup__le,axiom,
% 206.72/207.78 ! [V_z,V_y,V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Olattice(T_a)
% 206.72/207.78 => 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)))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__compl__bot,axiom,
% 206.72/207.78 ! [V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.78 => 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) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_compl__inf__bot,axiom,
% 206.72/207.78 ! [V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.78 => 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) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_diff__eq,axiom,
% 206.72/207.78 ! [V_y,V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.78 => 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)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_compl__inf,axiom,
% 206.72/207.78 ! [V_y,V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.78 => 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)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_compl__sup,axiom,
% 206.72/207.78 ! [V_y,V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.78 => 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)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__insert__right,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_a_2,T_c] :
% 206.72/207.78 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(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_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 206.72/207.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__insert__left,axiom,
% 206.72/207.78 ! [V_B_2,V_C_2,V_a_2,T_c] :
% 206.72/207.78 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_C_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 206.72/207.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_C_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__insert__right__if0,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_a_2,T_c] :
% 206.72/207.78 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__insert__left__if0,axiom,
% 206.72/207.78 ! [V_B_2,V_C_2,V_a_2,T_c] :
% 206.72/207.78 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_C_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__insert__right__if1,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_a_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(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_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__insert__left__if1,axiom,
% 206.72/207.78 ! [V_B_2,V_C_2,V_a_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_C_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_image__vimage__subset,axiom,
% 206.72/207.78 ! [V_A_2,V_f_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_f_2),V_A_2))),V_A_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_surj__image__vimage__eq,axiom,
% 206.72/207.78 ! [V_A_2,V_f_2,T_c,T_d] :
% 206.72/207.78 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_image__Int__subset,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,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_d,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_B_2)))) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Diff__triv,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( 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))
% 206.72/207.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Diff__disjoint,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Un__Int__assoc__eq,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))
% 206.72/207.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Un__Diff__Int,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(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),V_B_2)) = V_A_2 ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Diff__Un,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Diff__Int,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_SUP__UN__eq,axiom,
% 206.72/207.78 ! [V_x_2,V_r_2,T_d,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d))),V_r_2)),V_x_2))
% 206.72/207.78 <=> hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_r_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Compl__disjoint,axiom,
% 206.72/207.78 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Compl__disjoint2,axiom,
% 206.72/207.78 ! [V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Compl__Int,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),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__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Compl__Un,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),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__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_HOL_Obool)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Diff__Compl,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Diff__eq,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(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(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__singleton__eq,axiom,
% 206.72/207.78 ! [V_b_2,V_f_2,T_d,V_a_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))))))
% 206.72/207.78 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_fold__inf__insert,axiom,
% 206.72/207.78 ! [V_a_2,V_b_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Lattices_Osemilattice__inf(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_b_2),V_A_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__Sup__absorb,axiom,
% 206.72/207.78 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Lattices_Olattice(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)) = V_a_2 ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__insert,axiom,
% 206.72/207.78 ! [V_B_2,V_a_2,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_finite__vimageD,axiom,
% 206.72/207.78 ! [V_F_2,V_h_2,T_d,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_d,V_h_2),V_F_2)))
% 206.72/207.78 => ( hAPP(c_Set_Oimage(T_c,T_d,V_h_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))
% 206.72/207.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_F_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__subsetD,axiom,
% 206.72/207.78 ! [V_A_2,V_B_2,V_f_2,T_c,T_d] :
% 206.72/207.78 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_d,T_c,V_f_2),V_B_2)),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_finite__vimageI,axiom,
% 206.72/207.78 ! [V_h_2,T_d,V_F_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.72/207.78 => ( c_Fun_Oinj__on(T_d,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 206.72/207.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Ovimage(T_d,T_c,V_h_2),V_F_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inj__vimage__image__eq,axiom,
% 206.72/207.78 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.78 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.78 => hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) = V_A_2 ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inj__on__image__Int,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_d,T_c] :
% 206.72/207.78 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_C_2)
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_C_2))
% 206.72/207.78 => hAPP(c_Set_Oimage(T_c,T_d,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_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_image__Int,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.78 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.78 => hAPP(c_Set_Oimage(T_c,T_d,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_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_disjoint__eq__subset__Compl,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( 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))
% 206.72/207.78 <=> 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)),V_B_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__const,axiom,
% 206.72/207.78 ! [T_d,V_A_2,V_c_2,T_c] :
% 206.72/207.78 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.78 => hAPP(c_Set_Ovimage(T_d,T_c,hAPP(c_COMBK(T_c,T_d),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) )
% 206.72/207.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.78 => hAPP(c_Set_Ovimage(T_d,T_c,hAPP(c_COMBK(T_c,T_d),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.78 ( c_Finite__Set_Ofolding__image__simple(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.72/207.78 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,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)) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_compl__unique,axiom,
% 206.72/207.78 ! [V_y,V_x,T_a] :
% 206.72/207.78 ( class_Lattices_Oboolean__algebra(T_a)
% 206.72/207.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 206.72/207.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 206.72/207.78 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_fold__inf__le__inf,axiom,
% 206.72/207.78 ! [V_b_2,V_a_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Lattices_Osemilattice__inf(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_a_2),V_b_2))) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_fold1__belowI,axiom,
% 206.72/207.78 ! [V_a_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Lattices_Osemilattice__inf(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Finite__Set_Ofold1(T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_A_2)),V_a_2)) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_below__fold1__iff,axiom,
% 206.72/207.78 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Lattices_Osemilattice__inf(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),hAPP(c_Finite__Set_Ofold1(T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_A_2)))
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),B_x)) ) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setsum__Un__Int,axiom,
% 206.72/207.78 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_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_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_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_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__subsetI,axiom,
% 206.72/207.78 ! [V_A_2,V_B_2,V_f_2,T_d,T_c] :
% 206.72/207.78 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setprod_Ounion__inter,axiom,
% 206.72/207.78 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_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_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_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_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_B_2)) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setprod__Un__Int,axiom,
% 206.72/207.78 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_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_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_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_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_B_2)) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_card_Ounion__inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,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_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_card__Un__Int,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_card__Diff__subset__Int,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.78 => hAPP(c_Finite__Set_Ocard(T_c),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_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__if,axiom,
% 206.72/207.78 ! [V_B_2,T_d,V_d_2,V_A_2,V_c_2,T_c] :
% 206.72/207.78 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.78 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_d_2),V_A_2))
% 206.72/207.78 => hAPP(c_Set_Ovimage(T_d,T_c,hAPP(hAPP(c_COMBC(T_d,T_c,T_c),hAPP(hAPP(c_COMBC(T_d,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_d),c_If(T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) )
% 206.72/207.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_d_2),V_A_2))
% 206.72/207.78 => hAPP(c_Set_Ovimage(T_d,T_c,hAPP(hAPP(c_COMBC(T_d,T_c,T_c),hAPP(hAPP(c_COMBC(T_d,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_d),c_If(T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 206.72/207.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_c_2),V_A_2))
% 206.72/207.78 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_d_2),V_A_2))
% 206.72/207.78 => hAPP(c_Set_Ovimage(T_d,T_c,hAPP(hAPP(c_COMBC(T_d,T_c,T_c),hAPP(hAPP(c_COMBC(T_d,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_d),c_If(T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_d,tc_HOL_Obool)),V_B_2) )
% 206.72/207.78 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_d_2),V_A_2))
% 206.72/207.78 => hAPP(c_Set_Ovimage(T_d,T_c,hAPP(hAPP(c_COMBC(T_d,T_c,T_c),hAPP(hAPP(c_COMBC(T_d,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_d),c_If(T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_folding__one_Ounion__inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.78 ( c_Finite__Set_Ofolding__one(T_c,V_f_2,V_F_2)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => 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)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_folding__one_Ounion__disjoint,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c] :
% 206.72/207.78 ( c_Finite__Set_Ofolding__one(T_c,V_f_2,V_F_2)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => 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)) ) ) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.72/207.78 ( c_Finite__Set_Ofolding__image__simple(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.72/207.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 206.72/207.78 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,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)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setsum__Un__disjoint,axiom,
% 206.72/207.78 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_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_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setsum__Un,axiom,
% 206.72/207.78 ! [V_f_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Oab__group__add(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),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_Groups_Ominus__class_Ominus(T_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setprod__Un__disjoint,axiom,
% 206.72/207.78 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_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_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_B_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setprod_Ounion__disjoint,axiom,
% 206.72/207.78 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_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_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_B_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_sup__SUPR__fold__sup,axiom,
% 206.72/207.78 ! [V_f_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_d),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_d),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_d)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_card__Un__disjoint,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,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_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inj__on__Un,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.72/207.78 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.78 <=> ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.72/207.78 & c_Fun_Oinj__on(T_c,T_d,V_f_2,V_B_2)
% 206.72/207.78 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_fold__image__Un__Int,axiom,
% 206.72/207.78 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),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)),V_A_2)),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)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),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_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_fold1__Un,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Groups_Oab__semigroup__mult(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),V_B_2)) ) ) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Sup__fin_Ounion__inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Lattices_Olattice(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_c,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__sup__class_Osup(T_c),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_B_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Lattices_Olattice(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => c_Big__Operators_Olattice__class_OSup__fin(T_c,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(T_c),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_B_2)) ) ) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Min_Ounion__inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Orderings_Olinorder(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_c,V_B_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Min_Ounion__disjoint,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Orderings_Olinorder(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olinorder__class_OMin(T_c,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_c,V_B_2)) ) ) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Max_Ounion__inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Orderings_Olinorder(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_c,V_B_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Max_Ounion__disjoint,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Orderings_Olinorder(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olinorder__class_OMax(T_c,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_c,V_B_2)) ) ) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Orderings_Olinorder(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_B_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Orderings_Olinorder(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_B_2)) ) ) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Orderings_Olinorder(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_B_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Orderings_Olinorder(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => ( 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))
% 206.72/207.78 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_B_2)) ) ) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setsum__Un__nat,axiom,
% 206.72/207.78 ! [V_f_2,V_B_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),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_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_c,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__eq__UN,axiom,
% 206.72/207.78 ! [V_B_2,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Ovimage(T_c,T_d,V_f_2)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),c_Set_Oinsert(T_d)),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))))) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_image__eq__UN,axiom,
% 206.72/207.78 ! [V_A_2,V_f_2,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,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_d),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__I,axiom,
% 206.72/207.78 ! [V_B_2,V_b_2,T_d,V_A_2,V_a_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(V_B_2,V_a_2)))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_le__SUPI,axiom,
% 206.72/207.78 ! [V_M_2,V_A_2,V_i_2,T_c,T_d] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_d),V_A_2),V_M_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_SUP__subset,axiom,
% 206.72/207.78 ! [V_f_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_d),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_d),V_B_2),V_f_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_SUP__const,axiom,
% 206.72/207.78 ! [V_M_2,T_c,V_A_2,T_d] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_d),V_A_2),hAPP(c_COMBK(T_d,T_c),V_M_2)) = V_M_2 ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__insert,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_a_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_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)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__simps_I3_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.72/207.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) )
% 206.72/207.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__UN__flatten,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_e,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_e),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__simps_I9_J,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,V_A_2,T_e,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_e),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_ball__UN,axiom,
% 206.72/207.78 ! [V_Pa_2,V_B_2,V_A_2,T_d,T_c] :
% 206.72/207.78 ( ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.72/207.78 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.78 => ! [B_xa] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),hAPP(V_B_2,B_x)))
% 206.72/207.78 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__extend__simps_I9_J,axiom,
% 206.72/207.78 ! [V_C_2,V_B_2,T_e,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_HOL_Obool),tc_fun(tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_e,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_SUP1__iff,axiom,
% 206.72/207.78 ! [V_b_2,V_B_2,V_A_2,T_d,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(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_b_2))
% 206.72/207.78 <=> ? [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.78 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_SUP2__iff,axiom,
% 206.72/207.78 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_e,T_d,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 206.72/207.78 <=> ? [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.72/207.78 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_inf__nat__def,axiom,
% 206.72/207.78 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__iff,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_d,V_b_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_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)))
% 206.72/207.78 <=> ? [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.78 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UNION__empty__conv_I2_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,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))
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.78 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__constant,axiom,
% 206.72/207.78 ! [V_c_2,T_d,T_c,V_A_2] :
% 206.72/207.78 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) )
% 206.72/207.78 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_c_2)) = V_c_2 ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__empty2,axiom,
% 206.72/207.78 ! [V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_d),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UNION__empty__conv_I1_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_d,T_c] :
% 206.72/207.78 ( c_Orderings_Obot__class_Obot(tc_fun(T_c,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)
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.78 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__subset__iff,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_I_2,T_d,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_I_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__simps_I10_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_f_2,T_e,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_e,T_d,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_c,tc_HOL_Obool),T_e),V_B_2),V_f_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_image__UN,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_e,V_f_2,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e),c_Set_Oimage(T_d,T_c,V_f_2)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__extend__simps_I10_J,axiom,
% 206.72/207.78 ! [V_f_2,V_B_2,T_e,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,tc_HOL_Obool),T_d),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_e,V_f_2),V_A_2)),V_B_2) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__Un__distrib,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_I_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_d,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_d),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_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__Un,axiom,
% 206.72/207.78 ! [V_M_2,V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_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_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__simps_I5_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,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_d),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_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__simps_I4_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_d,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_d),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_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__extend__simps_I5_J,axiom,
% 206.72/207.78 ! [V_B_2,V_C_2,T_d,V_A_2,T_c] : 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_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,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_d),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__UN__distrib,axiom,
% 206.72/207.78 ! [V_A_2,V_I_2,T_d,V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__extend__simps_I4_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_d,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,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_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_d,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_d),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__UN__distrib2,axiom,
% 206.72/207.78 ! [V_B_2,V_J_2,T_e,V_A_2,V_I_2,T_d,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e)),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_d),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_SUP__commute,axiom,
% 206.72/207.78 ! [V_f_2,V_B_2,T_e,V_A_2,T_d,T_c] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_c),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_e,T_c),T_c,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,T_c),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,T_c),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_c),T_c,T_e),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_c),V_A_2)),hAPP(c_COMBC(T_d,T_e,T_c),V_f_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_SUPR__apply,axiom,
% 206.72/207.78 ! [V_x_2,V_f_2,V_A_2,T_e,T_d,T_c] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.72/207.78 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_e,T_c)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_c),V_A_2),hAPP(hAPP(c_COMBC(T_d,T_e,T_c),V_f_2),V_x_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__simps_I6_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_d,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_d),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_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__extend__simps_I6_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_d,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,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_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_d,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_d),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_vimage__UN,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_e,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e),c_Set_Ovimage(T_c,T_d,V_f_2)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__insert__distrib,axiom,
% 206.72/207.78 ! [V_B_2,V_a_2,T_d,V_A_2,V_u_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_u_2),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_d),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__upper,axiom,
% 206.72/207.78 ! [V_B_2,T_d,V_A_2,V_a_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__absorb,axiom,
% 206.72/207.78 ! [V_A_2,T_d,V_I_2,V_k_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_k_2),V_I_2))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__extend__simps_I1_J,axiom,
% 206.72/207.78 ! [V_B_2,V_a_2,T_d,T_c,V_C_2] :
% 206.72/207.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) )
% 206.72/207.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_d),V_a_2)),V_B_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__singleton,axiom,
% 206.72/207.78 ! [V_A_2,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_c,tc_HOL_Obool)),V_A_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)))) = V_A_2 ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__simps_I1_J,axiom,
% 206.72/207.78 ! [V_B_2,V_a_2,T_d,T_c,V_C_2] :
% 206.72/207.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_d),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) )
% 206.72/207.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_d),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_SUP__le__iff,axiom,
% 206.72/207.78 ! [V_u_2,V_M_2,V_A_2,T_d,T_c] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_c),V_A_2),V_M_2)),V_u_2))
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_less__SUP__iff,axiom,
% 206.72/207.78 ! [V_f_2,V_A_2,T_d,V_a_2,T_c] :
% 206.72/207.78 ( ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.72/207.78 & class_Orderings_Olinorder(T_c) )
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_c),V_A_2),V_f_2)))
% 206.72/207.78 <=> ? [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__extend__simps_I2_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.72/207.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 206.72/207.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,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_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,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_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__extend__simps_I3_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.72/207.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 206.72/207.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_UN__simps_I2_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.72/207.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,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_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) )
% 206.72/207.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,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_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_fold__image__Un__one,axiom,
% 206.72/207.78 ! [V_f_2,V_T_2,V_S_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 206.72/207.78 => ( ! [B_x] :
% 206.72/207.78 ( 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_S_2),V_T_2)))
% 206.72/207.78 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_d) )
% 206.72/207.78 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_f_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_f_2),c_Groups_Oone__class_Oone(T_d)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_f_2),c_Groups_Oone__class_Oone(T_d)),V_T_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setprod__Un__one,axiom,
% 206.72/207.78 ! [V_f_2,V_T_2,V_S_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 206.72/207.78 => ( ! [B_x] :
% 206.72/207.78 ( 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_S_2),V_T_2)))
% 206.72/207.78 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_d) )
% 206.72/207.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_T_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 206.72/207.78 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.72/207.78 => ( ! [B_x] :
% 206.72/207.78 ( 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)))
% 206.72/207.78 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_d) )
% 206.72/207.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_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_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_B_2)) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Inf__fin_Oremove,axiom,
% 206.72/207.78 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.78 ( class_Lattices_Olattice(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.78 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2) = V_x_2 )
% 206.72/207.78 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_c,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)))))) ) ) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INFI__fold__inf,axiom,
% 206.72/207.78 ! [V_f_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_d),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_d)),V_f_2)),c_Orderings_Otop__class_Otop(T_d)),V_A_2) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_card__Suc__Diff1,axiom,
% 206.72/207.78 ! [V_x_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.72/207.78 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_c),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)))))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Inf__fold__inf,axiom,
% 206.72/207.78 ! [V_A_2,T_c] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => c_Complete__Lattice_OInf__class_OInf(T_c,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_InterE,axiom,
% 206.72/207.78 ! [V_X_2,V_C_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_C_2)))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_C_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),V_X_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_InterD,axiom,
% 206.72/207.78 ! [V_X_2,V_C_2,V_A_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_C_2)))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_C_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),V_X_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_finite__Inter,axiom,
% 206.72/207.78 ! [V_M_2,T_c] :
% 206.72/207.78 ( ? [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_x),V_M_2))
% 206.72/207.78 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_x)) )
% 206.72/207.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_M_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INF1__D,axiom,
% 206.72/207.78 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_d,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INF1__E,axiom,
% 206.72/207.78 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_d,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 206.72/207.78 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 206.72/207.78 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__D,axiom,
% 206.72/207.78 ! [V_a_2,V_B_2,V_A_2,T_d,V_b_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_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)))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_a_2),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__E,axiom,
% 206.72/207.78 ! [V_a_2,V_B_2,V_A_2,T_d,V_b_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_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)))
% 206.72/207.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 206.72/207.78 => ~ hBOOL(hAPP(hAPP(c_member(T_d),V_a_2),V_A_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INF2__D,axiom,
% 206.72/207.78 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_e,T_d,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INF2__E,axiom,
% 206.72/207.78 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_e,T_d,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 206.72/207.78 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 206.72/207.78 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_finite__INT,axiom,
% 206.72/207.78 ! [V_A_2,T_d,V_I_2,T_c] :
% 206.72/207.78 ( ? [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 206.72/207.78 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(V_A_2,B_x))) )
% 206.72/207.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__mono,axiom,
% 206.72/207.78 ! [V_n,V_m] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_lessI,axiom,
% 206.72/207.78 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__Inter__image,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_d,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_d),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)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(T_d,tc_fun(T_c,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(T_d,tc_fun(T_c,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INFI__apply,axiom,
% 206.72/207.78 ! [V_x_2,V_f_2,V_A_2,T_e,T_d,T_c] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.72/207.78 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_e,T_c)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_c),V_A_2),hAPP(hAPP(c_COMBC(T_d,T_e,T_c),V_f_2),V_x_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Un__Inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_n__not__Suc__n,axiom,
% 206.72/207.78 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__n__not__n,axiom,
% 206.72/207.78 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 206.72/207.78
% 206.72/207.78 fof(fact_nat_Oinject,axiom,
% 206.72/207.78 ! [V_nat_H_2,V_nat_2] :
% 206.72/207.78 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 206.72/207.78 <=> V_nat_2 = V_nat_H_2 ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__inject,axiom,
% 206.72/207.78 ! [V_y,V_x] :
% 206.72/207.78 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 206.72/207.78 => V_x = V_y ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INF__commute,axiom,
% 206.72/207.78 ! [V_f_2,V_B_2,T_e,V_A_2,T_d,T_c] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.72/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_c),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_e,T_c),T_c,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,T_c),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,T_c),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_c),T_c,T_e),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_c),V_A_2)),hAPP(c_COMBC(T_d,T_e,T_c),V_f_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__less__SucD,axiom,
% 206.72/207.78 ! [V_n,V_m] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__lessD,axiom,
% 206.72/207.78 ! [V_n,V_m] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_less__SucE,axiom,
% 206.72/207.78 ! [V_n,V_m] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 206.72/207.78 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.72/207.78 => V_m = V_n ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_less__trans__Suc,axiom,
% 206.72/207.78 ! [V_k,V_j,V_i] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__lessI,axiom,
% 206.72/207.78 ! [V_n,V_m] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.72/207.78 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_less__SucI,axiom,
% 206.72/207.78 ! [V_n,V_m] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_less__antisym,axiom,
% 206.72/207.78 ! [V_m,V_n] :
% 206.72/207.78 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 206.72/207.78 => V_m = V_n ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_not__less__less__Suc__eq,axiom,
% 206.72/207.78 ! [V_m_2,V_n_2] :
% 206.72/207.78 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 206.72/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 206.72/207.78 <=> V_n_2 = V_m_2 ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__less__eq,axiom,
% 206.72/207.78 ! [V_n_2,V_m_2] :
% 206.72/207.78 ( 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)))
% 206.72/207.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_less__Suc__eq,axiom,
% 206.72/207.78 ! [V_n_2,V_m_2] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 206.72/207.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.78 | V_m_2 = V_n_2 ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_not__less__eq,axiom,
% 206.72/207.78 ! [V_n_2,V_m_2] :
% 206.72/207.78 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_add__Suc__right,axiom,
% 206.72/207.78 ! [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)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_add__Suc,axiom,
% 206.72/207.78 ! [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)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_add__Suc__shift,axiom,
% 206.72/207.78 ! [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)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__leD,axiom,
% 206.72/207.78 ! [V_n,V_m] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_le__SucE,axiom,
% 206.72/207.78 ! [V_n,V_m] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 206.72/207.78 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.72/207.78 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_le__SucI,axiom,
% 206.72/207.78 ! [V_n,V_m] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__le__mono,axiom,
% 206.72/207.78 ! [V_m_2,V_n_2] :
% 206.72/207.78 ( 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)))
% 206.72/207.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_le__Suc__eq,axiom,
% 206.72/207.78 ! [V_n_2,V_m_2] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 206.72/207.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.78 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_not__less__eq__eq,axiom,
% 206.72/207.78 ! [V_n_2,V_m_2] :
% 206.72/207.78 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.72/207.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__n__not__le__n,axiom,
% 206.72/207.78 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__diff__diff,axiom,
% 206.72/207.78 ! [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) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_diff__Suc__Suc,axiom,
% 206.72/207.78 ! [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) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Suc__mult__cancel1,axiom,
% 206.72/207.78 ! [V_n_2,V_m_2,V_k_2] :
% 206.72/207.78 ( 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)
% 206.72/207.78 <=> V_m_2 = V_n_2 ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Inter__UNIV,axiom,
% 206.72/207.78 ! [T_c] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Inf__fin__Inf,axiom,
% 206.72/207.78 ! [V_A_2,T_c] :
% 206.72/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.72/207.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.72/207.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.72/207.78 => c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_c,V_A_2) ) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Inter__anti__mono,axiom,
% 206.72/207.78 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_B_2))) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Inter__lower,axiom,
% 206.72/207.78 ! [V_A_2,V_B_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Inter__empty,axiom,
% 206.72/207.78 ! [T_c] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Int__eq__Inter,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_c,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Inter__insert,axiom,
% 206.72/207.78 ! [V_B_2,V_a_2,T_c] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(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),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Inter__Un__distrib,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__iff,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_d,V_b_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_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)))
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__simps_I5_J,axiom,
% 206.72/207.78 ! [V_B_2,V_a_2,V_C_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,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_d),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_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__extend__simps_I5_J,axiom,
% 206.72/207.78 ! [V_B_2,V_C_2,T_d,V_a_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,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_d),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__subset__iff,axiom,
% 206.72/207.78 ! [V_A_2,V_I_2,T_d,V_B_2,T_c] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)))
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_I_2))
% 206.72/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_c,T_d] :
% 206.72/207.78 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,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))
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.78 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,T_d,T_c] :
% 206.72/207.78 ( c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)
% 206.72/207.78 <=> ! [B_x] :
% 206.72/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.72/207.78 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__extend__simps_I10_J,axiom,
% 206.72/207.78 ! [V_f_2,V_B_2,T_e,V_A_2,T_c,T_d] : 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(T_e,tc_fun(T_c,tc_HOL_Obool),T_d),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_e,V_f_2),V_A_2)),V_B_2) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__simps_I10_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_f_2,T_e,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_e,T_d,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_c,tc_HOL_Obool),T_e),V_B_2),V_f_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Un__INT__distrib2,axiom,
% 206.72/207.78 ! [V_B_2,V_J_2,T_e,V_A_2,V_I_2,T_d,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e)),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_d),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__extend__simps_I6_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_d,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,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_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_d,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_d),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_Un__INT__distrib,axiom,
% 206.72/207.78 ! [V_A_2,V_I_2,T_d,V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__extend__simps_I7_J,axiom,
% 206.72/207.78 ! [V_B_2,V_C_2,T_d,V_A_2,T_c] : 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_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,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_d),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__simps_I6_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_d,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_d),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_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__simps_I7_J,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_C_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,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_d),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_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__Int__distrib,axiom,
% 206.72/207.78 ! [V_B_2,V_A_2,V_I_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_d,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_d),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_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 206.72/207.78
% 206.72/207.78 fof(fact_INT__extend__simps_I9_J,axiom,
% 206.97/207.78 ! [V_C_2,V_B_2,T_e,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_HOL_Obool),tc_fun(tc_fun(T_e,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_e,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_INT__simps_I9_J,axiom,
% 206.97/207.78 ! [V_C_2,V_B_2,V_A_2,T_e,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_e),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_min__Suc__Suc,axiom,
% 206.97/207.78 ! [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)) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_max__Suc__Suc,axiom,
% 206.97/207.78 ! [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)) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_vimage__INT,axiom,
% 206.97/207.78 ! [V_B_2,V_A_2,T_e,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e),c_Set_Ovimage(T_c,T_d,V_f_2)),V_B_2)) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_le__Inf__iff,axiom,
% 206.97/207.78 ! [V_A_2,V_b_2,T_c] :
% 206.97/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_c,V_A_2)))
% 206.97/207.78 <=> ! [B_x] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),B_x)) ) ) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_Inf__less__iff,axiom,
% 206.97/207.78 ! [V_a_2,V_S_2,T_c] :
% 206.97/207.78 ( ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.78 & class_Orderings_Olinorder(T_c) )
% 206.97/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Complete__Lattice_OInf__class_OInf(T_c,V_S_2)),V_a_2))
% 206.97/207.78 <=> ? [B_x] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_S_2))
% 206.97/207.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),B_x),V_a_2)) ) ) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_power_Opower_Opower__Suc,axiom,
% 206.97/207.78 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_c] : hAPP(hAPP(c_Power_Opower_Opower(T_c,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_c,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_inj__Suc,axiom,
% 206.97/207.78 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 206.97/207.78 ! [V_q,V_x,T_a] :
% 206.97/207.78 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.78 => 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)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 206.97/207.78 ! [V_q,V_x,T_a] :
% 206.97/207.78 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.78 => 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)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 206.97/207.78 ! [V_q,V_x,T_a] :
% 206.97/207.78 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.78 => 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)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_power__Suc2,axiom,
% 206.97/207.78 ! [V_n,V_a,T_a] :
% 206.97/207.78 ( class_Groups_Omonoid__mult(T_a)
% 206.97/207.78 => 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) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_power__Suc,axiom,
% 206.97/207.78 ! [V_n,V_a,T_a] :
% 206.97/207.78 ( class_Power_Opower(T_a)
% 206.97/207.78 => 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)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_less__add__Suc1,axiom,
% 206.97/207.78 ! [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)))) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_less__add__Suc2,axiom,
% 206.97/207.78 ! [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)))) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_less__iff__Suc__add,axiom,
% 206.97/207.78 ! [V_n_2,V_m_2] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.78 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_le__INF__iff,axiom,
% 206.97/207.78 ! [V_M_2,V_A_2,T_d,V_u_2,T_c] :
% 206.97/207.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_c),V_A_2),V_M_2)))
% 206.97/207.78 <=> ! [B_x] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.97/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_Suc__le__lessD,axiom,
% 206.97/207.78 ! [V_n,V_m] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 206.97/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_le__less__Suc__eq,axiom,
% 206.97/207.78 ! [V_n_2,V_m_2] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 206.97/207.78 <=> V_n_2 = V_m_2 ) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_Suc__leI,axiom,
% 206.97/207.78 ! [V_n,V_m] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_le__imp__less__Suc,axiom,
% 206.97/207.78 ! [V_n,V_m] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.97/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_Suc__le__eq,axiom,
% 206.97/207.78 ! [V_n_2,V_m_2] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 206.97/207.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_less__Suc__eq__le,axiom,
% 206.97/207.78 ! [V_n_2,V_m_2] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 206.97/207.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_less__eq__Suc__le,axiom,
% 206.97/207.78 ! [V_m_2,V_n_2] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 206.97/207.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_INF__less__iff,axiom,
% 206.97/207.78 ! [V_a_2,V_f_2,V_A_2,T_d,T_c] :
% 206.97/207.78 ( ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.78 & class_Orderings_Olinorder(T_c) )
% 206.97/207.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_c),V_A_2),V_f_2)),V_a_2))
% 206.97/207.78 <=> ? [B_x] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.97/207.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_INT__insert__distrib,axiom,
% 206.97/207.78 ! [V_B_2,V_a_2,T_d,V_A_2,V_u_2,T_c] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_u_2),V_A_2))
% 206.97/207.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_d),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_diff__less__Suc,axiom,
% 206.97/207.78 ! [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))) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_Suc__mult__less__cancel1,axiom,
% 206.97/207.78 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.78 ( 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)))
% 206.97/207.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.78
% 206.97/207.78 fof(fact_INT__lower,axiom,
% 206.97/207.78 ! [V_B_2,T_d,V_A_2,V_a_2,T_c] :
% 206.97/207.78 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INF__INT__eq,axiom,
% 206.97/207.79 ! [V_x_2,V_r_2,T_d,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d))),V_r_2)),V_x_2))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_r_2))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__Suc,axiom,
% 206.97/207.79 ! [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)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__Suc__right,axiom,
% 206.97/207.79 ! [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)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__absorb,axiom,
% 206.97/207.79 ! [V_A_2,T_d,V_I_2,V_k_2,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),V_k_2),V_I_2))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INF__const,axiom,
% 206.97/207.79 ! [V_M_2,T_c,V_A_2,T_d] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.97/207.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_d),V_A_2),hAPP(c_COMBK(T_d,T_c),V_M_2)) = V_M_2 ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Suc__diff__le,axiom,
% 206.97/207.79 ! [V_m,V_n] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.97/207.79 => 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)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Suc__mult__le__cancel1,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__constant,axiom,
% 206.97/207.79 ! [V_c_2,T_d,T_c,V_A_2] :
% 206.97/207.79 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) )
% 206.97/207.79 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_c_2)) = V_c_2 ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__empty,axiom,
% 206.97/207.79 ! [V_B_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__extend__simps_I1_J,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.97/207.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 206.97/207.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,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_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,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_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__extend__simps_I2_J,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.97/207.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 206.97/207.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__insert,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,V_a_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_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)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__Un,axiom,
% 206.97/207.79 ! [V_M_2,V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_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_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__Suc__1,axiom,
% 206.97/207.79 ! [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 ).
% 206.97/207.79
% 206.97/207.79 fof(fact_UN__simps_I7_J,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,V_C_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,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_d),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_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_UN__extend__simps_I7_J,axiom,
% 206.97/207.79 ! [V_B_2,V_C_2,T_d,V_A_2,T_c] : 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_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,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_d),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inter__Un__subset,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Compl__UN,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,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)) = 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_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool))),V_B_2)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Compl__INT,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),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_OSUPR(T_d,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_d),c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool))),V_B_2)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Osingleton,axiom,
% 206.97/207.79 ! [V_x_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_x_2 ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_less__eq__Suc__le__raw,axiom,
% 206.97/207.79 ! [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)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__lower,axiom,
% 206.97/207.79 ! [V_A_2,V_x_2,T_c] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Complete__Lattice_OInf__class_OInf(T_c,V_A_2)),V_x_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INF__subset,axiom,
% 206.97/207.79 ! [V_f_2,V_B_2,V_A_2,T_c,T_d] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_d),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_d),V_A_2),V_f_2))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__singleton,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.79 => c_Complete__Lattice_OInf__class_OInf(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_a_2 ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__empty,axiom,
% 206.97/207.79 ! [T_c] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.79 => c_Complete__Lattice_OInf__class_OInf(T_c,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_c) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__UNIV,axiom,
% 206.97/207.79 ! [T_c] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.79 => c_Complete__Lattice_OInf__class_OInf(T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_c) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__insert,axiom,
% 206.97/207.79 ! [V_A_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.79 => c_Complete__Lattice_OInf__class_OInf(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_c,V_A_2)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__simps_I1_J,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.97/207.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,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_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) )
% 206.97/207.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,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_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__simps_I2_J,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.97/207.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) )
% 206.97/207.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__gt1,axiom,
% 206.97/207.79 ! [V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 206.97/207.79 => 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)))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__extend__simps_I3_J,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.97/207.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))),V_B_2) )
% 206.97/207.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,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_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,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_c),c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__simps_I3_J,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.97/207.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,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_c),c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) )
% 206.97/207.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,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_c),c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__extend__simps_I4_J,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.97/207.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 206.97/207.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__Suc__diff__eq1,axiom,
% 206.97/207.79 ! [V_m,V_j,V_k] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 206.97/207.79 => 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)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__Suc__diff__eq2,axiom,
% 206.97/207.79 ! [V_m,V_j,V_k] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 206.97/207.79 => 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)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INF__leI,axiom,
% 206.97/207.79 ! [V_M_2,V_A_2,V_i_2,T_c,T_d] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),V_A_2))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_d),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_sup__Inf__absorb,axiom,
% 206.97/207.79 ! [V_a_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)) = V_a_2 ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Oin__idem,axiom,
% 206.97/207.79 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_OF__eq,axiom,
% 206.97/207.79 ! [V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_A_2) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INT__simps_I4_J,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_d,T_c,V_C_2] :
% 206.97/207.79 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) )
% 206.97/207.79 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_card__insert__if,axiom,
% 206.97/207.79 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.79 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) )
% 206.97/207.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.79 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_c),V_A_2)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_card__insert__disjoint,axiom,
% 206.97/207.79 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.79 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_c),V_A_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__binary,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.79 => c_Complete__Lattice_OInf__class_OInf(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_a_2),V_b_2) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_inf__Inf__fold__inf,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_c,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_B_2),V_A_2) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 206.97/207.79 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Osubset__idem,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Ounion__idem,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,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__inf__class_Oinf(T_c),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_B_2)) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__le__Sup,axiom,
% 206.97/207.79 ! [V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 206.97/207.79 ! [V_a_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_a_2),V_A_2) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_inf__INFI__fold__inf,axiom,
% 206.97/207.79 ! [V_f_2,V_B_2,V_A_2,T_c,T_d] :
% 206.97/207.79 ( class_Complete__Lattice_Ocomplete__lattice(T_d)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_d),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_d),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_d)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_card__insert,axiom,
% 206.97/207.79 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_c),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)))))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Oinsert,axiom,
% 206.97/207.79 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 206.97/207.79 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( ( 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)))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = V_x_2 )
% 206.97/207.79 & ( 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)))) != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_c,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)))))) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Ounion__inter,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.79 => ( 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))
% 206.97/207.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_c,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(T_c),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_B_2)) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => ( 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))
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,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__inf__class_Oinf(T_c),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_B_2)) ) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 206.97/207.79 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.79 => c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_x_2),V_A_2) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 206.97/207.79 ! [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) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Suc__eq__plus1__left,axiom,
% 206.97/207.79 ! [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) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Suc__eq__plus1,axiom,
% 206.97/207.79 ! [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)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Oclosed,axiom,
% 206.97/207.79 ! [V_A_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),hAPP(hAPP(c_Set_Oinsert(T_c),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_member(T_c),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)),V_A_2)) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_finite__fun__UNIVD1,axiom,
% 206.97/207.79 ! [T_d,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_c,T_d)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_c,T_d),tc_HOL_Obool))))
% 206.97/207.79 => ( hAPP(c_Finite__Set_Ocard(T_d),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 206.97/207.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inf__fin_Ohom__commute,axiom,
% 206.97/207.79 ! [V_N_2,V_h_2,T_c] :
% 206.97/207.79 ( class_Lattices_Olattice(T_c)
% 206.97/207.79 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.97/207.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_c,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_N_2)) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_less__zeroE,axiom,
% 206.97/207.79 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_le0,axiom,
% 206.97/207.79 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__less__Suc,axiom,
% 206.97/207.79 ! [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))) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inter__def,axiom,
% 206.97/207.79 ! [V_S_2,T_c] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_c,tc_HOL_Obool))) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INTER__eq__Inter__image,axiom,
% 206.97/207.79 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(T_d,tc_fun(T_c,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Inter__image__eq,axiom,
% 206.97/207.79 ! [V_A_2,V_B_2,T_d,T_c] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(T_d,tc_fun(T_c,tc_HOL_Obool),V_B_2),V_A_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) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INF2__iff,axiom,
% 206.97/207.79 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_e,T_d,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 206.97/207.79 <=> ! [B_x] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.79 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_INF1__iff,axiom,
% 206.97/207.79 ! [V_b_2,V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 206.97/207.79 <=> ! [B_x] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.79 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__reorient,axiom,
% 206.97/207.79 ! [V_x_2,T_c] :
% 206.97/207.79 ( class_Groups_Ozero(T_c)
% 206.97/207.79 => ( c_Groups_Ozero__class_Ozero(T_c) = V_x_2
% 206.97/207.79 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_bot__nat__def,axiom,
% 206.97/207.79 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__eq__0__iff,axiom,
% 206.97/207.79 ! [V_n_2,V_a_2,T_c] :
% 206.97/207.79 ( ( class_Power_Opower(T_c)
% 206.97/207.79 & class_Rings_Omult__zero(T_c)
% 206.97/207.79 & class_Rings_Ono__zero__divisors(T_c)
% 206.97/207.79 & class_Rings_Ozero__neq__one(T_c) )
% 206.97/207.79 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__0__left,axiom,
% 206.97/207.79 ! [V_n,T_a] :
% 206.97/207.79 ( ( class_Power_Opower(T_a)
% 206.97/207.79 & class_Rings_Osemiring__0(T_a) )
% 206.97/207.79 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => 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) )
% 206.97/207.79 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => 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) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__0__left,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Omonoid__add(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__0,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Ocomm__monoid__add(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_double__zero__sym,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( c_Groups_Ozero__class_Ozero(T_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_a_2)
% 206.97/207.79 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__0__right,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Omonoid__add(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add_Ocomm__neutral,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Ocomm__monoid__add(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__0__iff,axiom,
% 206.97/207.79 ! [V_a_2,V_b_2,T_c] :
% 206.97/207.79 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_c)
% 206.97/207.79 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_b_2),V_a_2)
% 206.97/207.79 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__zero__left,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Rings_Omult__zero(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__zero__right,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Rings_Omult__zero(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__eq__0__iff,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Rings_Oring__no__zero__divisors(T_c)
% 206.97/207.79 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 | V_b_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_no__zero__divisors,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Ono__zero__divisors(T_a)
% 206.97/207.79 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.79 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_divisors__zero,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Ono__zero__divisors(T_a)
% 206.97/207.79 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.79 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.79 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__0__right,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__self,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_eq__iff__diff__eq__0,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Oab__group__add(T_c)
% 206.97/207.79 => ( V_a_2 = V_b_2
% 206.97/207.79 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_right__minus__eq,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_c)
% 206.97/207.79 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 <=> V_a_2 = V_b_2 ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__neq__one,axiom,
% 206.97/207.79 ! [T_a] :
% 206.97/207.79 ( class_Rings_Ozero__neq__one(T_a)
% 206.97/207.79 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_one__neq__zero,axiom,
% 206.97/207.79 ! [T_a] :
% 206.97/207.79 ( class_Rings_Ozero__neq__one(T_a)
% 206.97/207.79 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_neg__equal__zero,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2) = V_a_2
% 206.97/207.79 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_neg__equal__0__iff__equal,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_c)
% 206.97/207.79 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_equal__neg__zero,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)
% 206.97/207.79 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_neg__0__equal__iff__equal,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_c)
% 206.97/207.79 => ( c_Groups_Ozero__class_Ozero(T_c) = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)
% 206.97/207.79 <=> c_Groups_Ozero__class_Ozero(T_c) = V_a_2 ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_minus__zero,axiom,
% 206.97/207.79 ! [T_a] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_a)
% 206.97/207.79 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Suc__neq__Zero,axiom,
% 206.97/207.79 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Zero__neq__Suc,axiom,
% 206.97/207.79 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat_Osimps_I3_J,axiom,
% 206.97/207.79 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Suc__not__Zero,axiom,
% 206.97/207.79 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat_Osimps_I2_J,axiom,
% 206.97/207.79 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Zero__not__Suc,axiom,
% 206.97/207.79 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__Suc__0,axiom,
% 206.97/207.79 ! [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)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 206.97/207.79 ! [V_m_2,V_x_2] :
% 206.97/207.79 ( 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))
% 206.97/207.79 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_field__power__not__zero,axiom,
% 206.97/207.79 ! [V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 206.97/207.79 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.79 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__zero__less__power__iff,axiom,
% 206.97/207.79 ! [V_n_2,V_x_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 206.97/207.79 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__power__less__imp__less,axiom,
% 206.97/207.79 ! [V_n,V_m,V_i] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_not__less0,axiom,
% 206.97/207.79 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_neq0__conv,axiom,
% 206.97/207.79 ! [V_n_2] :
% 206.97/207.79 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_less__nat__zero__code,axiom,
% 206.97/207.79 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_gr__implies__not0,axiom,
% 206.97/207.79 ! [V_n,V_m] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.79 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_gr0I,axiom,
% 206.97/207.79 ! [V_n] :
% 206.97/207.79 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__eq__self__zero,axiom,
% 206.97/207.79 ! [V_n,V_m] :
% 206.97/207.79 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 206.97/207.79 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__is__0,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Nat_Oadd__0__right,axiom,
% 206.97/207.79 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 206.97/207.79
% 206.97/207.79 fof(fact_plus__nat_Oadd__0,axiom,
% 206.97/207.79 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 206.97/207.79
% 206.97/207.79 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 206.97/207.79 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_le__0__eq,axiom,
% 206.97/207.79 ! [V_n_2] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 206.97/207.79 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__0__eq__0,axiom,
% 206.97/207.79 ! [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) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_minus__nat_Odiff__0,axiom,
% 206.97/207.79 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__self__eq__0,axiom,
% 206.97/207.79 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diffs0__imp__equal,axiom,
% 206.97/207.79 ! [V_n,V_m] :
% 206.97/207.79 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => V_m = V_n ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.79 ( 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)
% 206.97/207.79 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 | V_m_2 = V_n_2 ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__0,axiom,
% 206.97/207.79 ! [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) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__0__right,axiom,
% 206.97/207.79 ! [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) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__is__0,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__cancel1,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.79 ( 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)
% 206.97/207.79 <=> ( V_m_2 = V_n_2
% 206.97/207.79 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__cancel2,axiom,
% 206.97/207.79 ! [V_n_2,V_k_2,V_m_2] :
% 206.97/207.79 ( 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)
% 206.97/207.79 <=> ( V_m_2 = V_n_2
% 206.97/207.79 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_sum__squares__eq__zero__iff,axiom,
% 206.97/207.79 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 & V_y_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_min__0L,axiom,
% 206.97/207.79 ! [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) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_min__0R,axiom,
% 206.97/207.79 ! [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) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_max__0L,axiom,
% 206.97/207.79 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 206.97/207.79
% 206.97/207.79 fof(fact_max__0R,axiom,
% 206.97/207.79 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__eq__imp__eq__base,axiom,
% 206.97/207.79 ! [V_b,V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( 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)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.79 => V_a = V_b ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum__0,axiom,
% 206.97/207.79 ! [V_A_2,T_d,T_c] :
% 206.97/207.79 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(c_COMBK(T_c,T_d),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power_Opower_Opower__0,axiom,
% 206.97/207.79 ! [V_a_2,V_times_2,V_one_2,T_c] : hAPP(hAPP(c_Power_Opower_Opower(T_c,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__strict__mono,axiom,
% 206.97/207.79 ! [V_n,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.79 => 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))) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_sum__squares__le__zero__iff,axiom,
% 206.97/207.79 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 & V_y_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_sum__squares__ge__zero,axiom,
% 206.97/207.79 ! [V_y,V_x,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__ring(T_a)
% 206.97/207.79 => 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)))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_sum__squares__gt__zero__iff,axiom,
% 206.97/207.79 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_y_2),V_y_2))))
% 206.97/207.79 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 | V_y_2 != c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_not__sum__squares__lt__zero,axiom,
% 206.97/207.79 ! [V_y,V_x,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__ring(T_a)
% 206.97/207.79 => ~ 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))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__nonpos__nonpos,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__increasing2,axiom,
% 206.97/207.79 ! [V_a,V_b,V_c,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__increasing,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__nonneg__eq__0__iff,axiom,
% 206.97/207.79 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_x_2))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_y_2))
% 206.97/207.79 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.79 & V_y_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__nonneg__nonneg,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_a_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__le__square,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__ring(T_a)
% 206.97/207.79 => 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))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__le__mult__iff,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_b_2)))
% 206.97/207.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_b_2)) )
% 206.97/207.79 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__le__0__iff,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),c_Groups_Ozero__class_Ozero(T_c))) )
% 206.97/207.79 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_b_2)) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__nonneg__nonneg,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__cancel__semiring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__nonneg__nonpos,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__cancel__semiring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__nonneg__nonpos2,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__cancel__semiring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__nonpos__nonneg,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__cancel__semiring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__nonpos__nonpos,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__ring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__right__mono,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__semiring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__left__mono,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__semiring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_comm__mult__left__mono,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__comm__semiring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__right__mono__neg,axiom,
% 206.97/207.79 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__ring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__left__mono__neg,axiom,
% 206.97/207.79 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__ring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__mono_H,axiom,
% 206.97/207.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__semiring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__mono,axiom,
% 206.97/207.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__semiring(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_split__mult__pos__le,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__ring(T_a)
% 206.97/207.79 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 206.97/207.79 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 206.97/207.79 => 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))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_split__mult__neg__le,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Oordered__cancel__semiring(T_a)
% 206.97/207.79 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 206.97/207.79 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 206.97/207.79 => 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))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_a_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__pos__pos,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__neg__neg,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_pos__add__strict,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_not__square__less__zero,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__ring(T_a)
% 206.97/207.79 => ~ 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))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__cancel__right__disj,axiom,
% 206.97/207.79 ! [V_b_2,V_c_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_c_2)))
% 206.97/207.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2)) )
% 206.97/207.79 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),V_a_2)) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__cancel__left__disj,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_b_2)))
% 206.97/207.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2)) )
% 206.97/207.79 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),V_a_2)) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__cancel__left__pos,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_b_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__pos__pos,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__pos__neg,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__pos__neg2,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__less__mult__pos,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__less__mult__pos2,axiom,
% 206.97/207.79 ! [V_a,V_b,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__cancel__left__neg,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_b_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),V_a_2)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__neg__pos,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__neg__neg,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__strict__right__mono,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__strict__left__mono,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_comm__mult__strict__left__mono,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__strict__right__mono__neg,axiom,
% 206.97/207.79 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__strict__left__mono__neg,axiom,
% 206.97/207.79 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_le__iff__diff__le__0,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_less__iff__diff__less__0,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__scale__eq__noteq,axiom,
% 206.97/207.79 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 206.97/207.79 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 206.97/207.79 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.79 => ( ( V_a = V_b
% 206.97/207.79 & V_c != V_d )
% 206.97/207.79 => 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)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__le__one,axiom,
% 206.97/207.79 ! [T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => 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))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_not__one__le__zero,axiom,
% 206.97/207.79 ! [T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ~ 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))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__less__one,axiom,
% 206.97/207.79 ! [T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_not__one__less__zero,axiom,
% 206.97/207.79 ! [T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_neg__0__le__iff__le,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_le__minus__self__iff,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_neg__le__0__iff__le,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_minus__le__self__iff,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)),V_a_2))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_less__minus__self__iff,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_neg__0__less__iff__less,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_neg__less__0__iff__less,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_neg__less__nonneg,axiom,
% 206.97/207.79 ! [V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)),V_a_2))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_minus__unique,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_a)
% 206.97/207.79 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.79 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_ab__left__minus,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oab__group__add(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_left__minus,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_c)
% 206.97/207.79 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_b_2)
% 206.97/207.79 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_right__minus,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__mono,axiom,
% 206.97/207.79 ! [V_n,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__le__power,axiom,
% 206.97/207.79 ! [V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => 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))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__less__power,axiom,
% 206.97/207.79 ! [V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => 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))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__0,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Groups_Ogroup__add(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum__empty,axiom,
% 206.97/207.79 ! [V_f_2,T_d,T_c] :
% 206.97/207.79 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_c) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum_Oempty,axiom,
% 206.97/207.79 ! [V_g_2,T_d,T_c] :
% 206.97/207.79 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_c) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum_Oinfinite,axiom,
% 206.97/207.79 ! [V_g_2,V_A_2,T_c,T_d] :
% 206.97/207.79 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.79 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_d) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum__infinite,axiom,
% 206.97/207.79 ! [V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.79 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.79 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_d) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__0__Suc,axiom,
% 206.97/207.79 ! [V_n,T_a] :
% 206.97/207.79 ( ( class_Power_Opower(T_a)
% 206.97/207.79 & class_Rings_Osemiring__0(T_a) )
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setprod__zero__iff,axiom,
% 206.97/207.79 ! [V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.79 ( ( class_Rings_Ocomm__semiring__1(T_d)
% 206.97/207.79 & class_Rings_Ono__zero__divisors(T_d) )
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_d)
% 206.97/207.79 <=> ? [B_x] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.79 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setprod__zero,axiom,
% 206.97/207.79 ! [V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.79 ( class_Rings_Ocomm__semiring__1(T_d)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( ? [B_x] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.79 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_d) )
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_gr0__conv__Suc,axiom,
% 206.97/207.79 ! [V_n_2] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 206.97/207.79 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_less__Suc0,axiom,
% 206.97/207.79 ! [V_n_2] :
% 206.97/207.79 ( 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))))
% 206.97/207.79 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_less__Suc__eq__0__disj,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 206.97/207.79 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 | ? [B_j] :
% 206.97/207.79 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_one__is__add,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( 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)
% 206.97/207.79 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 206.97/207.79 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.79 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__is__1,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( 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))
% 206.97/207.79 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 206.97/207.79 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.79 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__gr__0,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 206.97/207.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__one__le__power,axiom,
% 206.97/207.79 ! [V_n,V_i] :
% 206.97/207.79 ( 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))
% 206.97/207.79 => 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))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__0,axiom,
% 206.97/207.79 ! [V_a,T_a] :
% 206.97/207.79 ( class_Power_Opower(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 206.97/207.79 ! [V_x,T_a] :
% 206.97/207.79 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.79 => 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) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_card_Oempty,axiom,
% 206.97/207.79 ! [T_c] : hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_card__infinite,axiom,
% 206.97/207.79 ! [V_A_2,T_c] :
% 206.97/207.79 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__eq__1__iff,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( 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))
% 206.97/207.79 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 206.97/207.79 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__less__diff,axiom,
% 206.97/207.79 ! [V_m_2,V_n_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__less,axiom,
% 206.97/207.79 ! [V_m,V_n] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 206.97/207.79 => 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)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__0__less__mult__iff,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__cancel1,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__cancel2,axiom,
% 206.97/207.79 ! [V_n_2,V_k_2,V_m_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 206.97/207.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__mono1,axiom,
% 206.97/207.79 ! [V_k,V_j,V_i] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 206.97/207.79 => 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))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__mono2,axiom,
% 206.97/207.79 ! [V_k,V_j,V_i] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 206.97/207.79 => 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))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__mult__less__cancel1,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 206.97/207.79 => ( 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)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__mult__eq__cancel1,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 206.97/207.79 => ( 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)
% 206.97/207.79 <=> V_m_2 = V_n_2 ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__add__0,axiom,
% 206.97/207.79 ! [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) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__eq__if,axiom,
% 206.97/207.79 ! [V_p,V_m] :
% 206.97/207.79 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 206.97/207.79 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => 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)))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__is__0__eq_H,axiom,
% 206.97/207.79 ! [V_n,V_m] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.97/207.79 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__is__0__eq,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_One__nat__def,axiom,
% 206.97/207.79 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__eq__self__implies__10,axiom,
% 206.97/207.79 ! [V_n,V_m] :
% 206.97/207.79 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 206.97/207.79 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 206.97/207.79 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum__eq__0__iff,axiom,
% 206.97/207.79 ! [V_f_2,V_F_2,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2))
% 206.97/207.79 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 <=> ! [B_x] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_F_2))
% 206.97/207.79 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Suc__pred_H,axiom,
% 206.97/207.79 ! [V_n] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.79 => 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))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__eq__if,axiom,
% 206.97/207.79 ! [V_n,V_m] :
% 206.97/207.79 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 206.97/207.79 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => 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)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__nonpos__neg,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__neg__nonpos,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__strict__increasing2,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__strict__increasing,axiom,
% 206.97/207.79 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__nonneg__pos,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_add__pos__nonneg,axiom,
% 206.97/207.79 ! [V_b,V_a,T_a] :
% 206.97/207.79 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__le__cancel__left__pos,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_b_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__le__cancel__left__neg,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.79 ( class_Rings_Olinordered__ring__strict(T_c)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_b_2)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),V_a_2)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__strict__mono,axiom,
% 206.97/207.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__strict__mono_H,axiom,
% 206.97/207.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__le__imp__less,axiom,
% 206.97/207.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__le__less__imp__less,axiom,
% 206.97/207.79 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => 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))) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__right__less__imp__less,axiom,
% 206.97/207.79 ! [V_b,V_c,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring(T_a)
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__imp__less__right,axiom,
% 206.97/207.79 ! [V_b,V_c,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__left__less__imp__less,axiom,
% 206.97/207.79 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring(T_a)
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__less__imp__less__left,axiom,
% 206.97/207.79 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__right__le__imp__le,axiom,
% 206.97/207.79 ! [V_b,V_c,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__left__le__imp__le,axiom,
% 206.97/207.79 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__strict(T_a)
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__eq__if,axiom,
% 206.97/207.79 ! [V_n,V_m] :
% 206.97/207.79 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.79 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 => 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)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__right__le__one__le,axiom,
% 206.97/207.79 ! [V_y,V_x,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 206.97/207.79 => 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)) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__left__le__one__le,axiom,
% 206.97/207.79 ! [V_y,V_x,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 206.97/207.79 => 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)) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_zero__less__two,axiom,
% 206.97/207.79 ! [T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => 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)))) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__less__imp__less__base,axiom,
% 206.97/207.79 ! [V_b,V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( 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)))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__le__imp__le__base,axiom,
% 206.97/207.79 ! [V_b,V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( 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))))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__inject__base,axiom,
% 206.97/207.79 ! [V_b,V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( 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))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.79 => V_a = V_b ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_card__eq__0__iff,axiom,
% 206.97/207.79 ! [V_A_2,T_c] :
% 206.97/207.79 ( hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.79 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.79 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_card__ge__0__finite,axiom,
% 206.97/207.79 ! [V_A_2,T_c] :
% 206.97/207.79 ( 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_c),V_A_2)))
% 206.97/207.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_diff__Suc__less,axiom,
% 206.97/207.79 ! [V_i,V_n] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.79 => 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)) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_Suc__pred,axiom,
% 206.97/207.79 ! [V_n] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.79 => 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 ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_n__less__m__mult__n,axiom,
% 206.97/207.79 ! [V_m,V_n] :
% 206.97/207.79 ( 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))
% 206.97/207.79 => ( 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))
% 206.97/207.79 => 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))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_n__less__n__mult__m,axiom,
% 206.97/207.79 ! [V_m,V_n] :
% 206.97/207.79 ( 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))
% 206.97/207.79 => ( 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))
% 206.97/207.79 => 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))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_one__less__mult,axiom,
% 206.97/207.79 ! [V_m,V_n] :
% 206.97/207.79 ( 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))
% 206.97/207.79 => ( 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))
% 206.97/207.79 => 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))) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__diff__split__asm,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,V_Pa_2] :
% 206.97/207.79 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 206.97/207.79 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 206.97/207.79 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 206.97/207.79 | ? [B_d] :
% 206.97/207.79 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 206.97/207.79 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__diff__split,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,V_Pa_2] :
% 206.97/207.79 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 206.97/207.79 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 206.97/207.79 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 206.97/207.79 & ! [B_d] :
% 206.97/207.79 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 206.97/207.79 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_one__le__mult__iff,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> ( 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))
% 206.97/207.79 & 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)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__le__cancel1,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_mult__le__cancel2,axiom,
% 206.97/207.79 ! [V_n_2,V_k_2,V_m_2] :
% 206.97/207.79 ( 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)))
% 206.97/207.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 206.97/207.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_nat__mult__le__cancel1,axiom,
% 206.97/207.79 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 206.97/207.79 => ( 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)))
% 206.97/207.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum__eq__Suc0__iff,axiom,
% 206.97/207.79 ! [V_f_2,V_A_2,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 206.97/207.79 <=> ? [B_x] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.79 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 206.97/207.79 & ! [B_xa] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_A_2))
% 206.97/207.79 => ( B_x != B_xa
% 206.97/207.79 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum__eq__1__iff,axiom,
% 206.97/207.79 ! [V_f_2,V_A_2,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.79 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 206.97/207.79 <=> ? [B_x] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.79 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 206.97/207.79 & ! [B_xa] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_A_2))
% 206.97/207.79 => ( B_x != B_xa
% 206.97/207.79 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum__delta,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,V_S_2,T_c,T_d] :
% 206.97/207.79 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_d))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 206.97/207.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_d))),V_S_2) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setsum__delta_H,axiom,
% 206.97/207.79 ! [V_b_2,V_a_2,V_S_2,T_c,T_d] :
% 206.97/207.79 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_d))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 206.97/207.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_S_2))
% 206.97/207.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_d))),V_S_2) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_setprod__pos__nat__iff,axiom,
% 206.97/207.79 ! [V_f_2,V_S_2,T_c] :
% 206.97/207.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.79 => ( 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_c,tc_Nat_Onat),V_f_2),V_S_2)))
% 206.97/207.79 <=> ! [B_x] :
% 206.97/207.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_S_2))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_convex__bound__le,axiom,
% 206.97/207.79 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semiring__1(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 206.97/207.79 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 206.97/207.79 => 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)) ) ) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__Suc__less,axiom,
% 206.97/207.79 ! [V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__Suc__less__one,axiom,
% 206.97/207.79 ! [V_n,V_a,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 206.97/207.79 => 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))) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__strict__decreasing,axiom,
% 206.97/207.79 ! [V_a,V_N,V_n,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 206.97/207.79 => 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))) ) ) ) ) ).
% 206.97/207.79
% 206.97/207.79 fof(fact_power__decreasing,axiom,
% 206.97/207.79 ! [V_a,V_N,V_n,T_a] :
% 206.97/207.79 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 206.97/207.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 206.97/207.80 => 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))) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_one__less__power,axiom,
% 206.97/207.80 ! [V_n,V_a,T_a] :
% 206.97/207.80 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__gt__0__iff,axiom,
% 206.97/207.80 ! [V_A_2,T_c] :
% 206.97/207.80 ( 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_c),V_A_2)))
% 206.97/207.80 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.80 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__UNIV__card__ge__0,axiom,
% 206.97/207.80 ! [T_c] :
% 206.97/207.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 206.97/207.80 => 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_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum_Oeq__fold,axiom,
% 206.97/207.80 ! [V_g_2,V_A_2,T_c,T_d] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Oplus__class_Oplus(T_d)),V_g_2),c_Groups_Ozero__class_Ozero(T_d)),V_A_2) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum_OF__eq,axiom,
% 206.97/207.80 ! [V_g_2,V_A_2,T_c,T_d] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.80 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Oplus__class_Oplus(T_d)),V_g_2),c_Groups_Ozero__class_Ozero(T_d)),V_A_2) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Suc__diff__1,axiom,
% 206.97/207.80 ! [V_n] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.80 => 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 ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__restrict__set,axiom,
% 206.97/207.80 ! [V_B_2,V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),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_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_d))),V_A_2) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__def,axiom,
% 206.97/207.80 ! [V_A_2,T_c] :
% 206.97/207.80 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_c,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_c),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card_Oeq__fold__g,axiom,
% 206.97/207.80 ! [V_A_2,T_c] :
% 206.97/207.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_c,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_c),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_convex__bound__lt,axiom,
% 206.97/207.80 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 206.97/207.80 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 206.97/207.80 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 206.97/207.80 => 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)) ) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_triple_Osize_I1_J,axiom,
% 206.97/207.80 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_c,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_even__less__0__iff,axiom,
% 206.97/207.80 ! [V_a_2,T_c] :
% 206.97/207.80 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_triple_Osize_I2_J,axiom,
% 206.97/207.80 ! [V_fun2_2,V_com_2,V_fun1_2,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card_Ounion__inter__neutral,axiom,
% 206.97/207.80 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.80 => ( ( ? [B_x] : 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)))
% 206.97/207.80 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.80 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,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_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__mono2,axiom,
% 206.97/207.80 ! [V_f_2,V_A_2,V_B_2,T_c,T_d] :
% 206.97/207.80 ( class_Groups_Oordered__comm__monoid__add(T_d)
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.80 => ( ! [B_b] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_member(T_c),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),c_Groups_Ozero__class_Ozero(T_d)),hAPP(V_f_2,B_b))) )
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_B_2))) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_arith__series__nat,axiom,
% 206.97/207.80 ! [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)))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__lessThan,axiom,
% 206.97/207.80 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_lessThan__eq__iff,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_y_2)
% 206.97/207.80 <=> V_x_2 = V_y_2 ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__lessThan,axiom,
% 206.97/207.80 ! [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 ).
% 206.97/207.80
% 206.97/207.80 fof(fact_lessThan__0,axiom,
% 206.97/207.80 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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_lessThan__Suc,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_UN__lessThan__UNIV,axiom,
% 206.97/207.80 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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__lessThan__Suc,axiom,
% 206.97/207.80 ! [V_n_2,V_f_2,T_c] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_lessThan__iff,axiom,
% 206.97/207.80 ! [V_k_2,V_i_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oord(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_k_2)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_i_2),V_k_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_lessThan__subset__iff,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_y_2)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_lessThan__strict__subset__iff,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_n_2)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_m_2),V_n_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zpower__zadd__distrib,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zpower__zpower,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_single__Diff__lessThan,axiom,
% 206.97/207.80 ! [V_k_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_double__eq__0__iff,axiom,
% 206.97/207.80 ! [V_a_2,T_c] :
% 206.97/207.80 ( class_Groups_Olinordered__ab__group__add(T_c)
% 206.97/207.80 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_arith__series__general,axiom,
% 206.97/207.80 ! [V_n_2,V_d_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Rings_Ocomm__semiring__1(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),c_Groups_Oone__class_Oone(T_c)),c_Groups_Oone__class_Oone(T_c))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),hAPP(hAPP(c_COMBB(T_c,T_c,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_c)),c_Nat_Osemiring__1__class_Oof__nat(T_c))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__Un__zero,axiom,
% 206.97/207.80 ! [V_f_2,V_T_2,V_S_2,T_c,T_d] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 206.97/207.80 => ( ! [B_x] :
% 206.97/207.80 ( 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_S_2),V_T_2)))
% 206.97/207.80 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_d) )
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_T_2)) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 206.97/207.80 ! [V_g_2,V_B_2,V_A_2,T_c,T_d] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.80 => ( ! [B_x] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_d) )
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_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_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__Suc__eq,axiom,
% 206.97/207.80 ! [V_k_2,V_A_2,T_c] :
% 206.97/207.80 ( hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 206.97/207.80 <=> ? [B_b,B_B] :
% 206.97/207.80 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_c),B_b),B_B)
% 206.97/207.80 & ~ hBOOL(hAPP(hAPP(c_member(T_c),B_b),B_B))
% 206.97/207.80 & hAPP(c_Finite__Set_Ocard(T_c),B_B) = V_k_2
% 206.97/207.80 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.80 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__mono3,axiom,
% 206.97/207.80 ! [V_f_2,V_A_2,V_B_2,T_c,T_d] :
% 206.97/207.80 ( ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.80 & class_Groups_Oordered__ab__semigroup__add(T_d) )
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.80 => ( ! [B_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),c_Groups_Ozero__class_Ozero(T_d)),hAPP(V_f_2,B_x))) )
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_B_2))) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__odd__less__0,axiom,
% 206.97/207.80 ! [V_a_2,T_c] :
% 206.97/207.80 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),c_Groups_Oone__class_Oone(T_c)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_negative__zless,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_pos__zmult__eq__1__iff,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 206.97/207.80 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 206.97/207.80 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 206.97/207.80 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zmult__zless__mono2,axiom,
% 206.97/207.80 ! [V_k,V_j,V_i] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__of__nat,axiom,
% 206.97/207.80 ! [V_n_2,T_c] :
% 206.97/207.80 ( class_Rings_Oring__1(T_c)
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2)),c_Int_Oring__1__class_OInts(T_c))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zmult__zminus,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zmult__assoc,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zmult__commute,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiff__zmult__distrib2,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiff__zmult__distrib,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__zmult__distrib,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__zmult__distrib2,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zmult__1,axiom,
% 206.97/207.80 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zmult__1__right,axiom,
% 206.97/207.80 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__eq__iff,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2,T_c] :
% 206.97/207.80 ( class_Nat_Osemiring__char__0(T_c)
% 206.97/207.80 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2)
% 206.97/207.80 <=> V_m_2 = V_n_2 ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__zle__neg,axiom,
% 206.97/207.80 ! [V_m_2,V_n_2] :
% 206.97/207.80 ( 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))))
% 206.97/207.80 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.80 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__le__0__conv,axiom,
% 206.97/207.80 ! [V_n_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__eq__0__conv,axiom,
% 206.97/207.80 ! [V_n_2] :
% 206.97/207.80 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.80 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__0,axiom,
% 206.97/207.80 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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_negative__eq__positive,axiom,
% 206.97/207.80 ! [V_m_2,V_n_2] :
% 206.97/207.80 ( 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)
% 206.97/207.80 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.80 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zless__iff__Suc__zadd,axiom,
% 206.97/207.80 ! [V_z_2,V_w_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 206.97/207.80 <=> ? [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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__Suc,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_negative__zless__0,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_not__zle__0__negative,axiom,
% 206.97/207.80 ! [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))))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zless__int,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__int,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__int__left,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zle__int,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__mult,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zmult__int,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__1,axiom,
% 206.97/207.80 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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_inj__int,axiom,
% 206.97/207.80 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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zpower__int,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__power,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__setsum,axiom,
% 206.97/207.80 ! [V_A_2,V_f_2,T_c] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),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,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_c),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__setprod,axiom,
% 206.97/207.80 ! [V_A_2,V_f_2,T_c] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),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,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_c),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__Suc0__eq__1,axiom,
% 206.97/207.80 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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zmult__zless__mono2__lemma,axiom,
% 206.97/207.80 ! [V_k,V_j,V_i] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zero__less__int__conv,axiom,
% 206.97/207.80 ! [V_n_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__0__le__iff,axiom,
% 206.97/207.80 ! [V_n,T_a] :
% 206.97/207.80 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zero__le__imp__of__nat,axiom,
% 206.97/207.80 ! [V_m,T_a] :
% 206.97/207.80 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiff__int,axiom,
% 206.97/207.80 ! [V_m,V_n] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__less__0__iff,axiom,
% 206.97/207.80 ! [V_m,T_a] :
% 206.97/207.80 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.80 => ~ 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__0,axiom,
% 206.97/207.80 ! [T_a] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__less__imp__less,axiom,
% 206.97/207.80 ! [V_n,V_m,T_a] :
% 206.97/207.80 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.80 => ( 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)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_less__imp__of__nat__less,axiom,
% 206.97/207.80 ! [V_n,V_m,T_a] :
% 206.97/207.80 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__less__iff,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2,T_c] :
% 206.97/207.80 ( class_Rings_Olinordered__semidom(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__le__iff,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2,T_c] :
% 206.97/207.80 ( class_Rings_Olinordered__semidom(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__add,axiom,
% 206.97/207.80 ! [V_n,V_m,T_a] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__mult,axiom,
% 206.97/207.80 ! [V_n,V_m,T_a] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__1,axiom,
% 206.97/207.80 ! [T_a] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__power,axiom,
% 206.97/207.80 ! [V_n,V_m,T_a] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__setsum,axiom,
% 206.97/207.80 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,T_d),c_Nat_Osemiring__1__class_Oof__nat(T_c)),V_f_2)),V_A_2) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_inj__of__nat,axiom,
% 206.97/207.80 ! [T_c] :
% 206.97/207.80 ( class_Nat_Osemiring__char__0(T_c)
% 206.97/207.80 => c_Fun_Oinj__on(tc_Nat_Onat,T_c,c_Nat_Osemiring__1__class_Oof__nat(T_c),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__0,axiom,
% 206.97/207.80 ! [T_c] :
% 206.97/207.80 ( class_Rings_Oring__1(T_c)
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_member(T_c),c_Groups_Ozero__class_Ozero(T_c)),c_Int_Oring__1__class_OInts(T_c))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__add,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Rings_Oring__1(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_c))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__mult,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Rings_Oring__1(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_c))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__diff,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Rings_Oring__1(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_c))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__1,axiom,
% 206.97/207.80 ! [T_c] :
% 206.97/207.80 ( class_Rings_Oring__1(T_c)
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_member(T_c),c_Groups_Oone__class_Oone(T_c)),c_Int_Oring__1__class_OInts(T_c))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__minus,axiom,
% 206.97/207.80 ! [V_a_2,T_c] :
% 206.97/207.80 ( class_Rings_Oring__1(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)),c_Int_Oring__1__class_OInts(T_c))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__power,axiom,
% 206.97/207.80 ! [V_n_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Rings_Oring__1(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_c))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__setprod,axiom,
% 206.97/207.80 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.80 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 206.97/207.80 & class_Rings_Osemiring__1(T_c) )
% 206.97/207.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,T_d),c_Nat_Osemiring__1__class_Oof__nat(T_c)),V_f_2)),V_A_2) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__Suc,axiom,
% 206.97/207.80 ! [V_m,T_a] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__diff,axiom,
% 206.97/207.80 ! [V_m,V_n,T_a] :
% 206.97/207.80 ( class_Rings_Oring__1(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__constant,axiom,
% 206.97/207.80 ! [V_A_2,V_y_2,T_d,T_c] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(c_COMBK(T_c,T_d),V_y_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_d),V_A_2))),V_y_2) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__0__less__iff,axiom,
% 206.97/207.80 ! [V_n_2,T_c] :
% 206.97/207.80 ( class_Rings_Olinordered__semidom(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__double__eq__0__iff,axiom,
% 206.97/207.80 ! [V_a_2,T_c] :
% 206.97/207.80 ( class_Int_Oring__char__0(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Ints__odd__nonzero,axiom,
% 206.97/207.80 ! [V_a_2,T_c] :
% 206.97/207.80 ( class_Int_Oring__char__0(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Int_Oring__1__class_OInts(T_c)))
% 206.97/207.80 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),c_Groups_Oone__class_Oone(T_c)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 206.97/207.80 ! [V_n_2,T_c] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_c,hAPP(hAPP(c_COMBC(T_c,T_c,T_c),c_Groups_Oplus__class_Oplus(T_c)),c_Groups_Oone__class_Oone(T_c)),V_n_2,c_Groups_Ozero__class_Ozero(T_c)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiff__int__split,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2,V_Pa_2] :
% 206.97/207.80 ( 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))))
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 206.97/207.80 => 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)))) )
% 206.97/207.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__bounded,axiom,
% 206.97/207.80 ! [V_K_2,V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.80 ( ( class_Groups_Oordered__ab__semigroup__add(T_d)
% 206.97/207.80 & class_Rings_Osemiring__1(T_d) )
% 206.97/207.80 => ( ! [B_i] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_member(T_c),B_i),V_A_2))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(V_f_2,B_i)),V_K_2)) )
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_d),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_K_2))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 206.97/207.80 ! [V_x_2,V_y_2,V_c_2] :
% 206.97/207.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 206.97/207.80 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 206.97/207.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 206.97/207.80 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 206.97/207.80 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__atLeastLessThan,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_negative__zle,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__less__0__conv,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zle__iff__zadd,axiom,
% 206.97/207.80 ! [V_z_2,V_w_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 206.97/207.80 <=> ? [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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 206.97/207.80 ! [V_Pa_2] :
% 206.97/207.80 ( ! [B_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.80 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 206.97/207.80 ! [V_Pa_2] :
% 206.97/207.80 ( ? [B_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 206.97/207.80 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.80 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zero__zle__int,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_negative__zle__0,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__int__eq,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2] :
% 206.97/207.80 ( 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)
% 206.97/207.80 <=> V_m_2 = V_n_2 ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_not__int__zless__negative,axiom,
% 206.97/207.80 ! [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)))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2] :
% 206.97/207.80 ( 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)
% 206.97/207.80 <=> V_x_2 = V_y_2 ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 206.97/207.80 ! [V_B_2,V_A_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.80 <=> 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 206.97/207.80 ! [V_A_2,V_x_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 206.97/207.80 <=> 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 206.97/207.80 ! [V_B_2,V_A_2] :
% 206.97/207.80 ( V_A_2 = V_B_2
% 206.97/207.80 <=> 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 206.97/207.80 ! [V_B_2,V_A_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.80 <=> 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zless__add1__eq,axiom,
% 206.97/207.80 ! [V_z_2,V_w_2] :
% 206.97/207.80 ( 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))))
% 206.97/207.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 206.97/207.80 | V_w_2 = V_z_2 ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zless__linear,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 206.97/207.80 | V_x = V_y
% 206.97/207.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zminus__zminus,axiom,
% 206.97/207.80 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__commute,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__left__commute,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__assoc,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_diff__int__def,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_diff__int__def__symmetric,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zminus__zadd__distrib,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__strict__right__mono,axiom,
% 206.97/207.80 ! [V_k,V_j,V_i] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__zless__mono,axiom,
% 206.97/207.80 ! [V_z,V_z_H,V_w,V_w_H] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zless__le,axiom,
% 206.97/207.80 ! [V_w_2,V_z_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 206.97/207.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 206.97/207.80 & V_z_2 != V_w_2 ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__zminus__inverse2,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 206.97/207.80 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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zle__refl,axiom,
% 206.97/207.80 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zle__linear,axiom,
% 206.97/207.80 ! [V_w,V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 206.97/207.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__left__mono,axiom,
% 206.97/207.80 ! [V_k,V_j,V_i] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zle__trans,axiom,
% 206.97/207.80 ! [V_k,V_j,V_i] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zle__antisym,axiom,
% 206.97/207.80 ! [V_w,V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 206.97/207.80 => V_z = V_w ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__0__right,axiom,
% 206.97/207.80 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zadd__0,axiom,
% 206.97/207.80 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zminus__0,axiom,
% 206.97/207.80 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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_less__bin__lemma,axiom,
% 206.97/207.80 ! [V_l_2,V_k_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 206.97/207.80 <=> 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__0__neq__1,axiom,
% 206.97/207.80 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_odd__nonzero,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 206.97/207.80 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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zle__diff1__eq,axiom,
% 206.97/207.80 ! [V_z_2,V_w_2] :
% 206.97/207.80 ( 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))))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__one__le__iff__zero__less,axiom,
% 206.97/207.80 ! [V_z_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zle__add1__eq__le,axiom,
% 206.97/207.80 ! [V_z_2,V_w_2] :
% 206.97/207.80 ( 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))))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_add1__zle__eq,axiom,
% 206.97/207.80 ! [V_z_2,V_w_2] :
% 206.97/207.80 ( 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))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_le__imp__0__less,axiom,
% 206.97/207.80 ! [V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zless__imp__add1__zle,axiom,
% 206.97/207.80 ! [V_z,V_w] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_odd__less__0,axiom,
% 206.97/207.80 ! [V_z_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__0__less__1,axiom,
% 206.97/207.80 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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 206.97/207.80 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_c_2),V_d_2)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),V_d_2))
% 206.97/207.80 => V_b_2 = V_d_2 ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 206.97/207.80 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_c_2),V_d_2)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),V_d_2))
% 206.97/207.80 => V_a_2 = V_c_2 ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan__eq__iff,axiom,
% 206.97/207.80 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),V_d_2))
% 206.97/207.80 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_c_2),V_d_2)
% 206.97/207.80 <=> ( V_a_2 = V_c_2
% 206.97/207.80 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan__add__Un,axiom,
% 206.97/207.80 ! [V_k_2,V_j_2,V_i_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan0,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeast0LessThan,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_subset__card__intvl__is__intvl,axiom,
% 206.97/207.80 ! [V_k_2,V_A_2] :
% 206.97/207.80 ( 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)))))
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__atLeastLessThan,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_image__Suc__atLeastLessThan,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan__empty,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),V_a_2))
% 206.97/207.80 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan__empty__iff,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.80 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => ( c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_a_2),V_b_2)
% 206.97/207.80 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan__subset__iff,axiom,
% 206.97/207.80 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_c_2),V_d_2)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),V_a_2))
% 206.97/207.80 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_c_2),V_a_2))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),V_d_2)) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2,V_f_2,T_c] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__un_I17_J,axiom,
% 206.97/207.80 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_m_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_m_2),V_u_2))
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_u_2) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 206.97/207.80 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_c] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__diff,axiom,
% 206.97/207.80 ! [V_m_2,V_n_2,V_i_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_i_2),V_n_2))
% 206.97/207.80 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_n_2),V_m_2) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__int_I11_J,axiom,
% 206.97/207.80 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_image__add__atLeastLessThan,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__add__nat__ivl,axiom,
% 206.97/207.80 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_c] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 206.97/207.80 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),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_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__diff__nat__ivl,axiom,
% 206.97/207.80 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_c] :
% 206.97/207.80 ( class_Groups_Oab__group__add(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 206.97/207.80 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),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_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 206.97/207.80 ! [V_i_2,V_inc_2,T_c] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.80 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_c,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 206.97/207.80 ! [V_i_2,V_n_2,V_inc_2,T_c] :
% 206.97/207.80 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.80 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_c,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_c,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 206.97/207.80 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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThan__singleton,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_UN__UN__finite__eq,axiom,
% 206.97/207.80 ! [V_A_2,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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_c,tc_HOL_Obool)),tc_fun(T_c,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_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 206.97/207.80 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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Int__atLeastLessThan,axiom,
% 206.97/207.80 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_b_2),V_d_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__un_I8_J,axiom,
% 206.97/207.80 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_u_2))
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_u_2) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__int_I2_J,axiom,
% 206.97/207.80 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 206.97/207.80 ! [V_k_2,V_f_2,T_c] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.80 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__head__upt__Suc,axiom,
% 206.97/207.80 ! [V_f_2,V_n_2,V_m_2,T_c] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 206.97/207.80 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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 206.97/207.80 ! [V_n,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastLessThanSuc,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2] :
% 206.97/207.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.80 => 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)) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 206.97/207.80 ! [V_A_2] :
% 206.97/207.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 206.97/207.80 <=> 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__op__ivl__Suc,axiom,
% 206.97/207.80 ! [V_f_2,V_m_2,V_n_2,T_c] :
% 206.97/207.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_self__quotient__aux2,axiom,
% 206.97/207.80 ! [V_q,V_r,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.80 => ( 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))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_self__quotient__aux1,axiom,
% 206.97/207.80 ! [V_q,V_r,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.80 => ( 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))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_q__pos__lemma,axiom,
% 206.97/207.80 ! [V_r_H,V_q_H,V_b_H] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_q__neg__lemma,axiom,
% 206.97/207.80 ! [V_r_H,V_q_H,V_b_H] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_unique__quotient__lemma,axiom,
% 206.97/207.80 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__mono2__lemma,axiom,
% 206.97/207.80 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 206.97/207.80 ( 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)
% 206.97/207.80 => ( 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)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__atLeastLessThan__int,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_infinite__UNIV__int,axiom,
% 206.97/207.80 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_image__add__int__atLeastLessThan,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 206.97/207.80 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 206.97/207.80 ( 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)
% 206.97/207.80 => ( 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)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_unique__quotient__lemma__neg,axiom,
% 206.97/207.80 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_all__nat__less__eq,axiom,
% 206.97/207.80 ! [V_Pa_2,V_n_2] :
% 206.97/207.80 ( ! [B_m] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 206.97/207.80 <=> ! [B_x] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ex__nat__less__eq,axiom,
% 206.97/207.80 ! [V_Pa_2,V_n_2] :
% 206.97/207.80 ( ? [B_m] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 206.97/207.80 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 206.97/207.80 <=> ? [B_x] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_UN__finite2__subset,axiom,
% 206.97/207.80 ! [V_B_2,V_k_2,V_A_2,T_c] :
% 206.97/207.80 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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_c,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)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_UN__finite2__eq,axiom,
% 206.97/207.80 ! [V_B_2,V_k_2,V_A_2,T_c] :
% 206.97/207.80 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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_c,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)
% 206.97/207.80 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_UN__finite__subset,axiom,
% 206.97/207.80 ! [V_C_2,V_A_2,T_c] :
% 206.97/207.80 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_tsub__def,axiom,
% 206.97/207.80 ! [V_x,V_y] :
% 206.97/207.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 206.97/207.80 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 206.97/207.80 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__un_I3_J,axiom,
% 206.97/207.80 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_l_2),V_u_2))
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_u_2) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__power__div__base,axiom,
% 206.97/207.80 ! [V_k,V_m] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 206.97/207.80 => 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)))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_image__INT,axiom,
% 206.97/207.80 ! [V_j_2,V_B_2,V_A_2,T_e,V_C_2,V_f_2,T_d,T_c] :
% 206.97/207.80 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_C_2)
% 206.97/207.80 => ( ! [B_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_member(T_e),B_x),V_A_2))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_e),V_j_2),V_A_2))
% 206.97/207.80 => hAPP(c_Set_Oimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_e),c_Set_Oimage(T_c,T_d,V_f_2)),V_B_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_com_Osize_I4_J,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__greaterThanLessThan,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__greaterThanLessThan__int,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__zero,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__zminus__zminus,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__zminus2,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__by__0,axiom,
% 206.97/207.80 ! [V_a,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__0,axiom,
% 206.97/207.80 ! [V_a,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__by__1,axiom,
% 206.97/207.80 ! [V_a,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__neg__pos__less0,axiom,
% 206.97/207.80 ! [V_b,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__self,axiom,
% 206.97/207.80 ! [V_a] :
% 206.97/207.80 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult__mult1__if,axiom,
% 206.97/207.80 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) )
% 206.97/207.80 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult__self2__is__id,axiom,
% 206.97/207.80 ! [V_a,V_b,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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 ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult__self1__is__id,axiom,
% 206.97/207.80 ! [V_a,V_b,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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 ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult__mult2,axiom,
% 206.97/207.80 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult__mult1,axiom,
% 206.97/207.80 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__self,axiom,
% 206.97/207.80 ! [V_a,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_greaterThanLessThan__empty,axiom,
% 206.97/207.80 ! [V_k_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_k_2))
% 206.97/207.80 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__eq__0__iff,axiom,
% 206.97/207.80 ! [V_k_2,V_i_2] :
% 206.97/207.80 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.80 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.80 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 206.97/207.80 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 206.97/207.80 ! [V_i_2,V_k_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__mono2,axiom,
% 206.97/207.80 ! [V_b,V_b_H,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__nonneg__neg__le0,axiom,
% 206.97/207.80 ! [V_b,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__pos__pos__trivial,axiom,
% 206.97/207.80 ! [V_b,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 206.97/207.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__nonpos__pos__le0,axiom,
% 206.97/207.80 ! [V_b,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__mono2__neg,axiom,
% 206.97/207.80 ! [V_b,V_b_H,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__neg__neg__trivial,axiom,
% 206.97/207.80 ! [V_b,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 206.97/207.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__mono1,axiom,
% 206.97/207.80 ! [V_b,V_a_H,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__mono1__neg,axiom,
% 206.97/207.80 ! [V_b,V_a_H,V_a] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.80 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.80 => hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__div__less__self,axiom,
% 206.97/207.80 ! [V_k,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__zmult2__eq,axiom,
% 206.97/207.80 ! [V_b,V_a,V_c] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult__self2,axiom,
% 206.97/207.80 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult__self1,axiom,
% 206.97/207.80 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__add__self2,axiom,
% 206.97/207.80 ! [V_a,V_b,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__add__self1,axiom,
% 206.97/207.80 ! [V_a,V_b,T_a] :
% 206.97/207.80 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_com_Osize_I1_J,axiom,
% 206.97/207.80 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__int_I9_J,axiom,
% 206.97/207.80 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Int__greaterThanLessThan,axiom,
% 206.97/207.80 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_b_2),V_d_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__greaterThanLessThan,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_split__zdiv,axiom,
% 206.97/207.80 ! [V_k_2,V_n_2,V_Pa_2] :
% 206.97/207.80 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 206.97/207.80 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 206.97/207.80 => ! [B_i] :
% 206.97/207.80 ( ? [B_j] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 206.97/207.80 & 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) )
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 206.97/207.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => ! [B_i] :
% 206.97/207.80 ( ? [B_j] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 & 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) )
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divmod__int__rel__div__eq,axiom,
% 206.97/207.80 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 206.97/207.80 ( 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)
% 206.97/207.80 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 206.97/207.80 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_tsub__eq,axiom,
% 206.97/207.80 ! [V_x,V_y] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 206.97/207.80 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__un_I15_J,axiom,
% 206.97/207.80 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_l_2),V_m_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_m_2),V_u_2))
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_u_2) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_com_Osize_I6_J,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_z3div__def,axiom,
% 206.97/207.80 ! [V_k,V_l] :
% 206.97/207.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 206.97/207.80 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__un_I4_J,axiom,
% 206.97/207.80 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_l_2),V_u_2))
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_u_2) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Powp__mono,axiom,
% 206.97/207.80 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_c,V_A_2)),c_Predicate_OPowp(T_c,V_B_2))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__Plus__conv__if,axiom,
% 206.97/207.80 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.97/207.80 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2)) )
% 206.97/207.80 => hAPP(c_Finite__Set_Ocard(tc_sum(T_c,T_d)),c_Sum__Type_OPlus(T_c,T_d,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_d),V_B_2)) )
% 206.97/207.80 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2)) )
% 206.97/207.80 => hAPP(c_Finite__Set_Ocard(tc_sum(T_c,T_d)),c_Sum__Type_OPlus(T_c,T_d,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_com_Osize_I12_J,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__greaterThanAtMost,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__greaterThanAtMost__int,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult2__eq,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__le__dividend,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__le__mono,axiom,
% 206.97/207.80 ! [V_k,V_n,V_m] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__1,axiom,
% 206.97/207.80 ! [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 ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__less,axiom,
% 206.97/207.80 ! [V_n,V_m] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__mult__div__cancel__disj,axiom,
% 206.97/207.80 ! [V_n,V_m,V_k] :
% 206.97/207.80 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.80 => 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) )
% 206.97/207.80 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zdiv__int,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_greaterThanAtMost__empty,axiom,
% 206.97/207.80 ! [V_k_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_k_2))
% 206.97/207.80 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 206.97/207.80 ! [V_l_2,V_k_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.80 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_k_2),V_l_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 206.97/207.80 ! [V_l_2,V_k_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => ( c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_k_2,V_l_2)
% 206.97/207.80 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_k_2),V_l_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__un_I20_J,axiom,
% 206.97/207.80 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_m_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_m_2),V_u_2))
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_u_2) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__int_I14_J,axiom,
% 206.97/207.80 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__le__mono2,axiom,
% 206.97/207.80 ! [V_k,V_n,V_m] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 206.97/207.80 => 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__mult__div__cancel1,axiom,
% 206.97/207.80 ! [V_n,V_m,V_k] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult__self1__is__m,axiom,
% 206.97/207.80 ! [V_m,V_n] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.80 => 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 ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__mult__self__is__m,axiom,
% 206.97/207.80 ! [V_m,V_n] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.80 => 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 ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__less__dividend,axiom,
% 206.97/207.80 ! [V_m,V_n] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__greaterThanAtMost,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_com_Osize_I9_J,axiom,
% 206.97/207.80 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__geq,axiom,
% 206.97/207.80 ! [V_m,V_n] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.80 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_div__if,axiom,
% 206.97/207.80 ! [V_m,V_n] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.80 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.80 => 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)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_split__div,axiom,
% 206.97/207.80 ! [V_k_2,V_n_2,V_Pa_2] :
% 206.97/207.80 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 206.97/207.80 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 206.97/207.80 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.80 => ! [B_i,B_j] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 206.97/207.80 => ( 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)
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Int__greaterThanAtMost,axiom,
% 206.97/207.80 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_b_2),V_d_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_image__uminus__atLeastLessThan,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.80 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.80 => hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.80 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.80 => hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__int_I10_J,axiom,
% 206.97/207.80 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Oorder(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__Plus__iff,axiom,
% 206.97/207.80 ! [V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_c,T_d)),c_Sum__Type_OPlus(T_c,T_d,V_A_2,V_B_2)))
% 206.97/207.80 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__Plus,axiom,
% 206.97/207.80 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.97/207.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.97/207.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_c,T_d)),c_Sum__Type_OPlus(T_c,T_d,V_A_2,V_B_2))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__PlusD_I1_J,axiom,
% 206.97/207.80 ! [V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_c,T_d)),c_Sum__Type_OPlus(T_c,T_d,V_A_2,V_B_2)))
% 206.97/207.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_finite__PlusD_I2_J,axiom,
% 206.97/207.80 ! [V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_c,T_d)),c_Sum__Type_OPlus(T_c,T_d,V_A_2,V_B_2)))
% 206.97/207.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_le__div__geq,axiom,
% 206.97/207.80 ! [V_m,V_n] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_split__div_H,axiom,
% 206.97/207.80 ! [V_n_2,V_m_2,V_Pa_2] :
% 206.97/207.80 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 206.97/207.80 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.80 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 206.97/207.80 | ? [B_q] :
% 206.97/207.80 ( 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))
% 206.97/207.80 & 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))))
% 206.97/207.80 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_split__div__lemma,axiom,
% 206.97/207.80 ! [V_m_2,V_q_2,V_n_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 206.97/207.80 => ( ( 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))
% 206.97/207.80 & 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)))) )
% 206.97/207.80 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__Plus,axiom,
% 206.97/207.80 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.97/207.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.97/207.80 => hAPP(c_Finite__Set_Ocard(tc_sum(T_c,T_d)),c_Sum__Type_OPlus(T_c,T_d,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_d),V_B_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ivl__disj__un_I16_J,axiom,
% 206.97/207.80 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.80 ( class_Orderings_Olinorder(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_m_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_m_2),V_u_2))
% 206.97/207.80 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_u_2) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_com_Osize_I14_J,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_UNIV__Plus__UNIV,axiom,
% 206.97/207.80 ! [T_d,T_c] : c_Sum__Type_OPlus(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_c,T_d),tc_HOL_Obool)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Plus__eq__empty__conv,axiom,
% 206.97/207.80 ! [V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.80 ( c_Sum__Type_OPlus(T_c,T_d,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_c,T_d),tc_HOL_Obool))
% 206.97/207.80 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.80 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setprod__diff1,axiom,
% 206.97/207.80 ! [V_a_2,V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.80 ( class_Fields_Ofield(T_d)
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_d)
% 206.97/207.80 => ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 206.97/207.80 ! [V_u_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__nonneg__0,axiom,
% 206.97/207.80 ! [V_i_2,V_f_2,V_s_2,T_c,T_d] :
% 206.97/207.80 ( class_Groups_Oordered__ab__group__add(T_d)
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_s_2))
% 206.97/207.80 => ( ! [B_i] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_member(T_c),B_i),V_s_2))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),c_Groups_Ozero__class_Ozero(T_d)),hAPP(V_f_2,B_i))) )
% 206.97/207.80 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_d)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),V_s_2))
% 206.97/207.80 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_power__divide,axiom,
% 206.97/207.80 ! [V_n,V_b,V_a,T_a] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__int,axiom,
% 206.97/207.80 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__zero__left,axiom,
% 206.97/207.80 ! [V_a,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__zero,axiom,
% 206.97/207.80 ! [V_a,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_minus__divide__left,axiom,
% 206.97/207.80 ! [V_b,V_a,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__1,axiom,
% 206.97/207.80 ! [V_a,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_diff__divide__distrib,axiom,
% 206.97/207.80 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_times__divide__eq__right,axiom,
% 206.97/207.80 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_add__divide__distrib,axiom,
% 206.97/207.80 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setsum__divide__distrib,axiom,
% 206.97/207.80 ! [V_r_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.80 ( class_Fields_Ofield(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBC(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_r_2)),V_A_2) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_eq__divide__imp,axiom,
% 206.97/207.80 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 206.97/207.80 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__eq__imp,axiom,
% 206.97/207.80 ! [V_a,V_b,V_c,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 206.97/207.80 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nonzero__divide__eq__eq,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2,V_c_2,T_c] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_c)
% 206.97/207.80 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2) = V_a_2
% 206.97/207.80 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nonzero__eq__divide__eq,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_c)
% 206.97/207.80 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)
% 206.97/207.80 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_right__inverse__eq,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2,T_c] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_c)
% 206.97/207.80 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_c)
% 206.97/207.80 <=> V_a_2 = V_b_2 ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__self,axiom,
% 206.97/207.80 ! [V_a,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__self__if,axiom,
% 206.97/207.80 ! [V_a,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 206.97/207.80 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 206.97/207.80 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nonzero__minus__divide__divide,axiom,
% 206.97/207.80 ! [V_a,V_b,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nonzero__minus__divide__right,axiom,
% 206.97/207.80 ! [V_a,V_b,T_a] :
% 206.97/207.80 ( class_Rings_Odivision__ring(T_a)
% 206.97/207.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nonzero__power__divide,axiom,
% 206.97/207.80 ! [V_n,V_a,V_b,T_a] :
% 206.97/207.80 ( class_Fields_Ofield(T_a)
% 206.97/207.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__0,axiom,
% 206.97/207.80 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 206.97/207.80 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_eq__nat__nat__iff,axiom,
% 206.97/207.80 ! [V_z_H_2,V_z_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 206.97/207.80 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 206.97/207.80 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 206.97/207.80 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 206.97/207.80 <=> V_x_2 = V_y_2 ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_all__nat,axiom,
% 206.97/207.80 ! [V_Pa_2] :
% 206.97/207.80 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 206.97/207.80 <=> ! [B_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_ex__nat,axiom,
% 206.97/207.80 ! [V_Pa_2] :
% 206.97/207.80 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 206.97/207.80 <=> ? [B_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 206.97/207.80 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_power__one__over,axiom,
% 206.97/207.80 ! [V_n,V_a,T_a] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 206.97/207.80 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 206.97/207.80 ! [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 ).
% 206.97/207.80
% 206.97/207.80 fof(fact_setprod__dividef,axiom,
% 206.97/207.80 ! [V_g_2,V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_d)
% 206.97/207.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,T_d),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_c),c_Rings_Oinverse__class_Odivide(T_d)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),V_A_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__greaterThanAtMost__int,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 206.97/207.80 ! [V_A_2,V_f_2,T_c] :
% 206.97/207.80 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.80 & class_Groups_Ocomm__monoid__mult(T_c) )
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 206.97/207.80 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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__0__iff,axiom,
% 206.97/207.80 ! [V_i_2] :
% 206.97/207.80 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__le__0,axiom,
% 206.97/207.80 ! [V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zless__nat__conj,axiom,
% 206.97/207.80 ! [V_z_2,V_w_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__mono__iff,axiom,
% 206.97/207.80 ! [V_w_2,V_z_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__1,axiom,
% 206.97/207.80 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__nat__eq,axiom,
% 206.97/207.80 ! [V_z] :
% 206.97/207.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 206.97/207.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_int__eq__iff,axiom,
% 206.97/207.80 ! [V_z_2,V_m_2] :
% 206.97/207.80 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 206.97/207.80 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__0__le,axiom,
% 206.97/207.80 ! [V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 206.97/207.80 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zless__nat__eq__int__zless,axiom,
% 206.97/207.80 ! [V_z_2,V_m_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 206.97/207.80 <=> 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__div__distrib,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__zminus__int,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 206.97/207.80 ! [V_A_2,V_f_2,T_c] :
% 206.97/207.80 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.80 & class_Groups_Ocomm__monoid__mult(T_c) )
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 206.97/207.80 ! [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) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__atLeastLessThan__int,axiom,
% 206.97/207.80 ! [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)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zero__less__nat__eq,axiom,
% 206.97/207.80 ! [V_z_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_power__diff,axiom,
% 206.97/207.80 ! [V_m,V_n,V_a,T_a] :
% 206.97/207.80 ( class_Fields_Ofield(T_a)
% 206.97/207.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.97/207.80 => 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)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__less__eq__zless,axiom,
% 206.97/207.80 ! [V_z_2,V_w_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 206.97/207.80 ! [V_y_2,V_x_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__eq__iff,axiom,
% 206.97/207.80 ! [V_m_2,V_w_2] :
% 206.97/207.80 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 206.97/207.80 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 206.97/207.80 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__eq__iff2,axiom,
% 206.97/207.80 ! [V_w_2,V_m_2] :
% 206.97/207.80 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 206.97/207.80 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 206.97/207.80 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__le__eq__zle,axiom,
% 206.97/207.80 ! [V_z_2,V_w_2] :
% 206.97/207.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 206.97/207.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 206.97/207.80 => ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_split__nat,axiom,
% 206.97/207.80 ! [V_i_2,V_Pa_2] :
% 206.97/207.80 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 206.97/207.80 <=> ( ! [B_n] :
% 206.97/207.80 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 206.97/207.80 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__add__distrib,axiom,
% 206.97/207.80 ! [V_z_H,V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__mult__distrib,axiom,
% 206.97/207.80 ! [V_z_H,V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 206.97/207.80 ! [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))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__diff__distrib,axiom,
% 206.97/207.80 ! [V_z,V_z_H] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 206.97/207.80 ! [V_A_2,V_f_2,T_c] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_c),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 206.97/207.80 ! [V_n,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__power__eq,axiom,
% 206.97/207.80 ! [V_n,V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 206.97/207.80 ! [V_A_2,V_f_2,T_c] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_c),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 206.97/207.80 ! [V_y,V_x] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.80 => 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)) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_one__less__nat__eq,axiom,
% 206.97/207.80 ! [V_z_2] :
% 206.97/207.80 ( 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)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__less__iff,axiom,
% 206.97/207.80 ! [V_m_2,V_w_2] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 206.97/207.80 <=> 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))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 206.97/207.80 ! [V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_nat__mult__distrib__neg,axiom,
% 206.97/207.80 ! [V_z_H,V_z] :
% 206.97/207.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.80 => 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))) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_card__greaterThanLessThan__int,axiom,
% 206.97/207.80 ! [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)))) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_geometric__sum,axiom,
% 206.97/207.80 ! [V_n_2,V_x_2,T_c] :
% 206.97/207.80 ( class_Fields_Ofield(T_c)
% 206.97/207.80 => ( V_x_2 != c_Groups_Oone__class_Oone(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),hAPP(c_Power_Opower__class_Opower(T_c),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_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_c))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),V_x_2),c_Groups_Oone__class_Oone(T_c))) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_le__divide__eq,axiom,
% 206.97/207.80 ! [V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)))
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),V_b_2)) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2))) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__le__eq,axiom,
% 206.97/207.80 ! [V_a_2,V_c_2,V_b_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)),V_a_2))
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2))) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),V_b_2)) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_pos__le__divide__eq,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_pos__divide__le__eq,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2,V_c_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)),V_a_2))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_mult__imp__div__pos__le,axiom,
% 206.97/207.80 ! [V_z,V_x,V_y,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 => 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)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_times__divide__times__eq,axiom,
% 206.97/207.80 ! [V_w,V_z,V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_minus__divide__divide,axiom,
% 206.97/207.80 ! [V_b,V_a,T_a] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.80 => 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) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_minus__divide__right,axiom,
% 206.97/207.80 ! [V_b,V_a,T_a] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.80 => 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)) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zero__le__divide__iff,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_a_2),V_b_2)))
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_b_2)) )
% 206.97/207.80 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__le__0__iff,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),c_Groups_Ozero__class_Ozero(T_c))) )
% 206.97/207.80 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_b_2)) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__right__mono,axiom,
% 206.97/207.80 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__right__mono__neg,axiom,
% 206.97/207.80 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_zero__less__divide__iff,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_a_2),V_b_2)))
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_b_2)) )
% 206.97/207.80 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__less__0__iff,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),c_Groups_Ozero__class_Ozero(T_c))) )
% 206.97/207.80 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_b_2)) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__pos__pos,axiom,
% 206.97/207.80 ! [V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__pos__neg,axiom,
% 206.97/207.80 ! [V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__neg__pos,axiom,
% 206.97/207.80 ! [V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__neg__neg,axiom,
% 206.97/207.80 ! [V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__strict__right__mono,axiom,
% 206.97/207.80 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__strict__right__mono__neg,axiom,
% 206.97/207.80 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_frac__eq__eq,axiom,
% 206.97/207.80 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_c] :
% 206.97/207.80 ( class_Fields_Ofield(T_c)
% 206.97/207.80 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_w_2),V_z_2)
% 206.97/207.80 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_w_2),V_y_2) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_mult__divide__mult__cancel__left,axiom,
% 206.97/207.80 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.80 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_mult__divide__mult__cancel__right,axiom,
% 206.97/207.80 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.80 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__eq__eq,axiom,
% 206.97/207.80 ! [V_a_2,V_c_2,V_b_2,T_c] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_c)
% 206.97/207.80 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2) = V_a_2
% 206.97/207.80 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2) )
% 206.97/207.80 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_eq__divide__eq,axiom,
% 206.97/207.80 ! [V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_c)
% 206.97/207.80 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)
% 206.97/207.80 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2) = V_b_2 )
% 206.97/207.80 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.80 => V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__nonneg__pos,axiom,
% 206.97/207.80 ! [V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__nonneg__neg,axiom,
% 206.97/207.80 ! [V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_frac__less2,axiom,
% 206.97/207.80 ! [V_z,V_w,V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 206.97/207.80 => 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))) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_frac__less,axiom,
% 206.97/207.80 ! [V_z,V_w,V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 206.97/207.80 => 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))) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_frac__le,axiom,
% 206.97/207.80 ! [V_z,V_w,V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 206.97/207.80 => 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))) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__nonpos__pos,axiom,
% 206.97/207.80 ! [V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__nonpos__neg,axiom,
% 206.97/207.80 ! [V_y,V_x,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_less__divide__eq,axiom,
% 206.97/207.80 ! [V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)))
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),V_b_2)) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2))) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__less__eq,axiom,
% 206.97/207.80 ! [V_a_2,V_c_2,V_b_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)),V_a_2))
% 206.97/207.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2))) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),V_b_2)) )
% 206.97/207.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_pos__less__divide__eq,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_pos__divide__less__eq,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2,V_c_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)),V_a_2))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_mult__imp__div__pos__less,axiom,
% 206.97/207.80 ! [V_z,V_x,V_y,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 => 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)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_mult__imp__less__div__pos,axiom,
% 206.97/207.80 ! [V_x,V_z,V_y,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.80 => ( 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))
% 206.97/207.80 => 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))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_neg__less__divide__eq,axiom,
% 206.97/207.80 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2))) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_neg__divide__less__eq,axiom,
% 206.97/207.80 ! [V_a_2,V_b_2,V_c_2,T_c] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_c)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)),V_a_2))
% 206.97/207.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__strict__left__mono,axiom,
% 206.97/207.80 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 => 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))) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__strict__left__mono__neg,axiom,
% 206.97/207.80 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.80 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.80 => ( 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)))
% 206.97/207.80 => 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))) ) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_add__frac__eq,axiom,
% 206.97/207.80 ! [V_w,V_x,V_z,V_y,T_a] :
% 206.97/207.80 ( class_Fields_Ofield(T_a)
% 206.97/207.80 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__add__eq__iff,axiom,
% 206.97/207.80 ! [V_y,V_x,V_z,T_a] :
% 206.97/207.80 ( class_Fields_Ofield(T_a)
% 206.97/207.80 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_add__frac__num,axiom,
% 206.97/207.80 ! [V_z,V_x,V_y,T_a] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.80 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_add__divide__eq__iff,axiom,
% 206.97/207.80 ! [V_y,V_x,V_z,T_a] :
% 206.97/207.80 ( class_Fields_Ofield(T_a)
% 206.97/207.80 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_add__num__frac,axiom,
% 206.97/207.80 ! [V_x,V_z,V_y,T_a] :
% 206.97/207.80 ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.80 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_diff__frac__eq,axiom,
% 206.97/207.80 ! [V_w,V_x,V_z,V_y,T_a] :
% 206.97/207.80 ( class_Fields_Ofield(T_a)
% 206.97/207.80 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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)) ) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_divide__diff__eq__iff,axiom,
% 206.97/207.80 ! [V_y,V_x,V_z,T_a] :
% 206.97/207.80 ( class_Fields_Ofield(T_a)
% 206.97/207.80 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.80 => 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) ) ) ).
% 206.97/207.80
% 206.97/207.80 fof(fact_diff__divide__eq__iff,axiom,
% 206.97/207.80 ! [V_y,V_x,V_z,T_a] :
% 206.97/207.80 ( class_Fields_Ofield(T_a)
% 206.97/207.80 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.81 => 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) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_less__half__sum,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.81 => 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))))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_gt__half__sum,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_divide__left__mono__neg,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.81 => ( 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)))
% 206.97/207.81 => 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))) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_divide__left__mono,axiom,
% 206.97/207.81 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.81 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 206.97/207.81 => ( 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)))
% 206.97/207.81 => 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))) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_neg__divide__le__eq,axiom,
% 206.97/207.81 ! [V_a_2,V_b_2,V_c_2,T_c] :
% 206.97/207.81 ( class_Fields_Olinordered__field(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)),V_a_2))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_neg__le__divide__eq,axiom,
% 206.97/207.81 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.81 ( class_Fields_Olinordered__field(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mult__imp__le__div__pos,axiom,
% 206.97/207.81 ! [V_x,V_z,V_y,T_a] :
% 206.97/207.81 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.81 => ( 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))
% 206.97/207.81 => 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_nat__aux__def,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 206.97/207.81 => 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))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 206.97/207.81 => 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))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__morphism__nat__int,axiom,
% 206.97/207.81 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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 206.97/207.81 ! [V_f_2,V_A_2,T_c] :
% 206.97/207.81 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 & class_Groups_Ocomm__monoid__mult(T_c) )
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_c),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_c,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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 206.97/207.81 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_nat__set__def,axiom,
% 206.97/207.81 ! [V_S_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_S_2)
% 206.97/207.81 <=> ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 206.97/207.81 => ( V_A_2 = V_B_2
% 206.97/207.81 <=> 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) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 206.97/207.81 ! [V_x_2,V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 206.97/207.81 ! [V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => 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 ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 206.97/207.81 ! [V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 206.97/207.81 <=> 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))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 206.97/207.81 ! [V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.81 <=> 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.81 <=> 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 206.97/207.81 ! [V_f_2,V_A_2,T_c] :
% 206.97/207.81 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 & class_Groups_Ocomm__monoid__mult(T_c) )
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_c,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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setprod__Un,axiom,
% 206.97/207.81 ! [V_f_2,V_B_2,V_A_2,T_c,T_d] :
% 206.97/207.81 ( class_Fields_Ofield(T_d)
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_d) )
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),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_Rings_Oinverse__class_Odivide(T_d),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 206.97/207.81 ! [V_A_2,V_x_2] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 206.97/207.81 <=> 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__of__nat,axiom,
% 206.97/207.81 ! [V_k,T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => 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)))) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => 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)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__nonneg__leq__bound,axiom,
% 206.97/207.81 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_c,T_d] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add(T_d)
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_s_2))
% 206.97/207.81 => ( ! [B_i] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_i),V_s_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),c_Groups_Ozero__class_Ozero(T_d)),hAPP(V_f_2,B_i))) )
% 206.97/207.81 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_s_2) = V_B_2
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),V_s_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_greaterThan__0,axiom,
% 206.97/207.81 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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_greaterThan__eq__iff,axiom,
% 206.97/207.81 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_y_2)
% 206.97/207.81 <=> V_x_2 = V_y_2 ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__eq__iff,axiom,
% 206.97/207.81 ! [V_z_2,V_w_2,T_c] :
% 206.97/207.81 ( class_Int_Oring__char__0(T_c)
% 206.97/207.81 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2)
% 206.97/207.81 <=> V_w_2 = V_z_2 ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__int__eq,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 206.97/207.81 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 206.97/207.81 ! [V_y,V_x] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 206.97/207.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 206.97/207.81 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 206.97/207.81 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 206.97/207.81 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 206.97/207.81 ! [V_y,V_x] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 206.97/207.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 206.97/207.81 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 206.97/207.81 ! [V_y,V_x] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 206.97/207.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 206.97/207.81 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 206.97/207.81 ! [V_n,V_x] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 206.97/207.81 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 206.97/207.81 ! [V_y,V_x] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 206.97/207.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 206.97/207.81 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__0,axiom,
% 206.97/207.81 ! [T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__0__eq__iff,axiom,
% 206.97/207.81 ! [V_z_2,T_c] :
% 206.97/207.81 ( class_Int_Oring__char__0(T_c)
% 206.97/207.81 => ( c_Groups_Ozero__class_Ozero(T_c) = hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2)
% 206.97/207.81 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__eq__0__iff,axiom,
% 206.97/207.81 ! [V_z_2,T_c] :
% 206.97/207.81 ( class_Int_Oring__char__0(T_c)
% 206.97/207.81 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.81 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__le__iff,axiom,
% 206.97/207.81 ! [V_z_2,V_w_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__less__iff,axiom,
% 206.97/207.81 ! [V_z_2,V_w_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__add,axiom,
% 206.97/207.81 ! [V_z,V_w,T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__mult,axiom,
% 206.97/207.81 ! [V_z,V_w,T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__1,axiom,
% 206.97/207.81 ! [T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__diff,axiom,
% 206.97/207.81 ! [V_z,V_w,T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__of__nat__eq,axiom,
% 206.97/207.81 ! [V_n,T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__minus,axiom,
% 206.97/207.81 ! [V_z,T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Ints__of__int,axiom,
% 206.97/207.81 ! [V_z_2,T_c] :
% 206.97/207.81 ( class_Rings_Oring__1(T_c)
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2)),c_Int_Oring__1__class_OInts(T_c))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__power,axiom,
% 206.97/207.81 ! [V_n,V_z,T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_is__nat__def,axiom,
% 206.97/207.81 ! [V_x_2] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_greaterThan__iff,axiom,
% 206.97/207.81 ! [V_k_2,V_i_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oord(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_k_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_k_2),V_i_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_greaterThan__subset__iff,axiom,
% 206.97/207.81 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_y_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_x_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__setsum,axiom,
% 206.97/207.81 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.81 ( class_Rings_Oring__1(T_c)
% 206.97/207.81 => hAPP(c_Int_Oring__1__class_Oof__int(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_c,T_d),c_Int_Oring__1__class_Oof__int(T_c)),V_f_2)),V_A_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 206.97/207.81 ! [V_x_2,V_A_2] :
% 206.97/207.81 ( c_Nat__Transfer_Onat__set(V_A_2)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 206.97/207.81 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__setprod,axiom,
% 206.97/207.81 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.81 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 206.97/207.81 & class_Rings_Oring__1(T_c) )
% 206.97/207.81 => hAPP(c_Int_Oring__1__class_Oof__int(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_c,T_d),c_Int_Oring__1__class_Oof__int(T_c)),V_f_2)),V_A_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_INT__greaterThan__UNIV,axiom,
% 206.97/207.81 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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__0__le__iff,axiom,
% 206.97/207.81 ! [V_z_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__le__0__iff,axiom,
% 206.97/207.81 ! [V_z_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__0__less__iff,axiom,
% 206.97/207.81 ! [V_z_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__int__less__0__iff,axiom,
% 206.97/207.81 ! [V_z_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_z_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_of__nat__nat,axiom,
% 206.97/207.81 ! [V_z,T_a] :
% 206.97/207.81 ( class_Rings_Oring__1(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 206.97/207.81 => 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) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I11_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_l_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__uminus__lessThan,axiom,
% 206.97/207.81 ! [V_x_2,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.81 => hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__uminus__greaterThan,axiom,
% 206.97/207.81 ! [V_x_2,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.81 => hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I5_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_greaterThan__Suc,axiom,
% 206.97/207.81 ! [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)))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 206.97/207.81 ! [V_f_2,V_A_2,T_c] :
% 206.97/207.81 ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.81 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,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_c,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_c),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 206.97/207.81 ! [V_f_2,V_A_2,T_c] :
% 206.97/207.81 ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.81 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,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_c,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_c),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sum__diff__distrib,axiom,
% 206.97/207.81 ! [V_n_2,V_Pa_2,V_Qa_2] :
% 206.97/207.81 ( ! [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)))
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__natinterval__difff,axiom,
% 206.97/207.81 ! [V_f_2,V_n_2,V_m_2,T_c] :
% 206.97/207.81 ( class_Groups_Oab__group__add(T_c)
% 206.97/207.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_c)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,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_c),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)))) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_c)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,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_c) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_gauss__sum,axiom,
% 206.97/207.81 ! [V_n_2,T_c] :
% 206.97/207.81 ( class_Rings_Ocomm__semiring__1(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),c_Groups_Oone__class_Oone(T_c)),c_Groups_Oone__class_Oone(T_c))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_c)),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_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2)),c_Groups_Oone__class_Oone(T_c))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_finite__atLeastAtMost,axiom,
% 206.97/207.81 ! [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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_all__nat__less,axiom,
% 206.97/207.81 ! [V_Pa_2,V_n_2] :
% 206.97/207.81 ( ! [B_m] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 206.97/207.81 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 206.97/207.81 <=> ! [B_x] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ex__nat__less,axiom,
% 206.97/207.81 ! [V_Pa_2,V_n_2] :
% 206.97/207.81 ( ? [B_m] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 206.97/207.81 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 206.97/207.81 <=> ? [B_x] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastatMost__empty__iff2,axiom,
% 206.97/207.81 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => ( c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_b_2)
% 206.97/207.81 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastatMost__empty__iff,axiom,
% 206.97/207.81 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.81 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastatMost__empty,axiom,
% 206.97/207.81 ! [V_a_2,V_b_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),V_a_2))
% 206.97/207.81 => c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastatMost__subset__iff,axiom,
% 206.97/207.81 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_c_2,V_d_2)))
% 206.97/207.81 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2))
% 206.97/207.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_c_2),V_a_2))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),V_d_2)) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastAtMost__singleton_H,axiom,
% 206.97/207.81 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => ( V_a_2 = V_b_2
% 206.97/207.81 => c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_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))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 206.97/207.81 ! [V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.81 <=> ( V_a_2 = V_b_2
% 206.97/207.81 & V_b_2 = V_c_2 ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastAtMost__singleton,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__uminus__atLeastAtMost,axiom,
% 206.97/207.81 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.81 => hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__Suc__atLeastAtMost,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 206.97/207.81 ! [V_n_2,V_m_2,V_f_2,T_c] :
% 206.97/207.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 206.97/207.81 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_c] :
% 206.97/207.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__add__atLeastAtMost,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_card__atLeastAtMost,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastAtMostSuc__conv,axiom,
% 206.97/207.81 ! [V_n_2,V_m_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 206.97/207.81 ! [V_k_2,V_f_2] :
% 206.97/207.81 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I21_J,axiom,
% 206.97/207.81 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_m_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_m_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_u_2) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I15_J,axiom,
% 206.97/207.81 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Int__atLeastAtMost,axiom,
% 206.97/207.81 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_b_2),V_d_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastatMost__psubset__iff,axiom,
% 206.97/207.81 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_c_2,V_d_2)))
% 206.97/207.81 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2))
% 206.97/207.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_c_2),V_a_2))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),V_d_2))
% 206.97/207.81 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),V_a_2))
% 206.97/207.81 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),V_d_2)) ) ) )
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_c_2),V_d_2)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I22_J,axiom,
% 206.97/207.81 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_m_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_m_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_u_2) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I4_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I16_J,axiom,
% 206.97/207.81 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I13_J,axiom,
% 206.97/207.81 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I12_J,axiom,
% 206.97/207.81 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I7_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__head__Suc,axiom,
% 206.97/207.81 ! [V_f_2,V_n_2,V_m_2,T_c] :
% 206.97/207.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__cl__ivl__Suc,axiom,
% 206.97/207.81 ! [V_f_2,V_m_2,V_n_2,T_c] :
% 206.97/207.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__head,axiom,
% 206.97/207.81 ! [V_Pa_2,V_n_2,V_m_2,T_c] :
% 206.97/207.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__ub__add__nat,axiom,
% 206.97/207.81 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_c] :
% 206.97/207.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 => ( 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),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),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)))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I6_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_u_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I5_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_u_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I18_J,axiom,
% 206.97/207.81 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_m_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_m_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_u_2) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I19_J,axiom,
% 206.97/207.81 ! [V_u_2,V_m_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_l_2),V_m_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_m_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_u_2) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeast__Suc,axiom,
% 206.97/207.81 ! [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)))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_UN__le__eq__Un0,axiom,
% 206.97/207.81 ! [V_M_2,V_n_2,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I12_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_l_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_l_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_decr__mult__lemma,axiom,
% 206.97/207.81 ! [V_k_2,V_Pa_2,V_d_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.81 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.81 => 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)))) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_negD,axiom,
% 206.97/207.81 ! [V_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => ? [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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_finite__atLeastAtMost__int,axiom,
% 206.97/207.81 ! [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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_finite__atMost,axiom,
% 206.97/207.81 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atMost__eq__iff,axiom,
% 206.97/207.81 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_y_2)
% 206.97/207.81 <=> V_x_2 = V_y_2 ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeast__eq__iff,axiom,
% 206.97/207.81 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_y_2)
% 206.97/207.81 <=> V_x_2 = V_y_2 ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__uminus__atMost,axiom,
% 206.97/207.81 ! [V_x_2,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.81 => hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__uminus__atLeast,axiom,
% 206.97/207.81 ! [V_x_2,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add(T_c)
% 206.97/207.81 => hAPP(c_Set_Oimage(T_c,T_c,c_Groups_Ouminus__class_Ouminus(T_c)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atMost__Int__atLeast,axiom,
% 206.97/207.81 ! [V_n_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 206.97/207.81 ! [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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 206.97/207.81 ! [V_y_2,V_x_2] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 206.97/207.81 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeast0AtMost,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_lessThan__Suc__atMost,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_card__atMost,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atMost__Suc,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atMost__iff,axiom,
% 206.97/207.81 ! [V_k_2,V_i_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oord(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_k_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_i_2),V_k_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeast__iff,axiom,
% 206.97/207.81 ! [V_k_2,V_i_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oord(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_k_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_k_2),V_i_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeast__subset__iff,axiom,
% 206.97/207.81 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_y_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_y_2),V_x_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atMost__subset__iff,axiom,
% 206.97/207.81 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_y_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeast__0,axiom,
% 206.97/207.81 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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 206.97/207.81 ! [V_y_2,V_x_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 206.97/207.81 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Compl__atLeast,axiom,
% 206.97/207.81 ! [V_k_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_k_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Compl__lessThan,axiom,
% 206.97/207.81 ! [V_k_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_k_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Compl__greaterThan,axiom,
% 206.97/207.81 ! [V_k_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_k_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Compl__atMost,axiom,
% 206.97/207.81 ! [V_k_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_k_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atLeast__Suc__greaterThan,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_UN__atMost__UNIV,axiom,
% 206.97/207.81 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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 206.97/207.81 ! [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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__atMost__Suc,axiom,
% 206.97/207.81 ! [V_n_2,V_f_2,T_c] :
% 206.97/207.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_atMost__0,axiom,
% 206.97/207.81 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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I14_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_l_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_simp__from__to,axiom,
% 206.97/207.81 ! [V_i_2,V_j_2] :
% 206.97/207.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 206.97/207.81 => 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)) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I8_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Int__atLeastAtMostR1,axiom,
% 206.97/207.81 ! [V_d_2,V_c_2,V_b_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_b_2),V_d_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Int__atLeastAtMostL1,axiom,
% 206.97/207.81 ! [V_d_2,V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_b_2),V_d_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Int__atLeastAtMostR2,axiom,
% 206.97/207.81 ! [V_d_2,V_c_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_a_2),V_c_2),V_d_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Int__atLeastAtMostL2,axiom,
% 206.97/207.81 ! [V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_c,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_a_2),V_c_2),V_b_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_UN__atLeast__UNIV,axiom,
% 206.97/207.81 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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I9_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_u_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_UN__le__add__shift,axiom,
% 206.97/207.81 ! [V_k_2,V_M_2,V_n_2,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_c,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_c,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_c,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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I3_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_c,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I1_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__int_I6_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Oorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_card__atLeastAtMost__int,axiom,
% 206.97/207.81 ! [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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 206.97/207.81 ! [V_n_2,V_m_2] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 206.97/207.81 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 206.97/207.81 => 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))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I2_J,axiom,
% 206.97/207.81 ! [V_u_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_u_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I10_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_u_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I1_J,axiom,
% 206.97/207.81 ! [V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_l_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I13_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_l_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_c,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_c),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_c),V_l_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ivl__disj__un_I7_J,axiom,
% 206.97/207.81 ! [V_u_2,V_l_2,T_c] :
% 206.97/207.81 ( class_Orderings_Olinorder(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_l_2),V_u_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_c),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_c,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_c),V_u_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_aset_I6_J,axiom,
% 206.97/207.81 ! [V_A_2,V_t_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ( 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))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 206.97/207.81 => 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)) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_bset_I8_J,axiom,
% 206.97/207.81 ! [V_B_2,V_t_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ( 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))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 206.97/207.81 => 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))) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_aset_I4_J,axiom,
% 206.97/207.81 ! [V_A_2,V_t_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( B_x != V_t_2
% 206.97/207.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_bset_I4_J,axiom,
% 206.97/207.81 ! [V_B_2,V_t_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( B_x != V_t_2
% 206.97/207.81 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_bset_I7_J,axiom,
% 206.97/207.81 ! [V_B_2,V_t_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 206.97/207.81 => 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))) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_bset_I3_J,axiom,
% 206.97/207.81 ! [V_B_2,V_t_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ( 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))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xa] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 206.97/207.81 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 206.97/207.81 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_aset_I3_J,axiom,
% 206.97/207.81 ! [V_A_2,V_t_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ( 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))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xa] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 206.97/207.81 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 206.97/207.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_aset_I5_J,axiom,
% 206.97/207.81 ! [V_A_2,V_t_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 206.97/207.81 => 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)) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_bset_I6_J,axiom,
% 206.97/207.81 ! [V_t_2,V_B_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 206.97/207.81 => 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)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_aset_I8_J,axiom,
% 206.97/207.81 ! [V_t_2,V_A_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 206.97/207.81 => 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_periodic__finite__ex,axiom,
% 206.97/207.81 ! [V_Pa_2,V_d_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 206.97/207.81 => ( ! [B_x,B_k] :
% 206.97/207.81 ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.81 <=> 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)))) )
% 206.97/207.81 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 206.97/207.81 <=> ? [B_x] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_bset_I5_J,axiom,
% 206.97/207.81 ! [V_t_2,V_B_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 206.97/207.81 => 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)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_aset_I7_J,axiom,
% 206.97/207.81 ! [V_t_2,V_A_2,V_D_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( ! [B_xa] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 => ! [B_xb] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 206.97/207.81 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 206.97/207.81 => 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_incr__mult__lemma,axiom,
% 206.97/207.81 ! [V_k_2,V_Pa_2,V_d_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.81 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 206.97/207.81 => ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.81 => 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)))) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_ex__least__nat__less,axiom,
% 206.97/207.81 ! [V_n_2,V_Pa_2] :
% 206.97/207.81 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 206.97/207.81 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 206.97/207.81 => ? [B_k] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 206.97/207.81 & ! [B_i] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 206.97/207.81 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 206.97/207.81 & 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)))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zero__less__imp__eq__int,axiom,
% 206.97/207.81 ! [V_k] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 206.97/207.81 => ? [B_n] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 206.97/207.81 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__mono__zero__right,axiom,
% 206.97/207.81 ! [V_f_2,V_S_2,V_T_2,T_c,T_d] :
% 206.97/207.81 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_T_2))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_T_2),V_S_2)))
% 206.97/207.81 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_d) )
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_S_2) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__mono__zero__left,axiom,
% 206.97/207.81 ! [V_f_2,V_S_2,V_T_2,T_c,T_d] :
% 206.97/207.81 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_T_2))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_T_2),V_S_2)))
% 206.97/207.81 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_d) )
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),V_T_2) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_card__Pow,axiom,
% 206.97/207.81 ! [V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.81 => hAPP(c_Finite__Set_Ocard(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_OPow(T_c),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_c),V_A_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_min__Suc2,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_min__Suc1,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_PowI,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_c),V_B_2))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_finite__Pow__iff,axiom,
% 206.97/207.81 ! [V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_OPow(T_c),V_A_2)))
% 206.97/207.81 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__Pow__surj,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,V_f_2,T_c,T_d] :
% 206.97/207.81 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2) = V_B_2
% 206.97/207.81 => hAPP(c_Set_Oimage(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),c_Set_Oimage(T_d,T_c,V_f_2)),hAPP(c_Set_OPow(T_d),V_A_2)) = hAPP(c_Set_OPow(T_c),V_B_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__top,axiom,
% 206.97/207.81 ! [V_A_2,T_c] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_c),V_A_2))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Cantors__paradox,axiom,
% 206.97/207.81 ! [V_A_2,T_c] :
% 206.97/207.81 ~ ? [B_f] : hAPP(c_Set_Oimage(T_c,tc_fun(T_c,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_c),V_A_2) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__not__empty,axiom,
% 206.97/207.81 ! [V_A_2,T_c] : hAPP(c_Set_OPow(T_c),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__INT__eq,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_d,T_c] : hAPP(c_Set_OPow(T_c),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(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_d),c_Set_OPow(T_c)),V_B_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__bottom,axiom,
% 206.97/207.81 ! [V_B_2,T_c] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),hAPP(c_Set_OPow(T_c),V_B_2))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_PowD,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_c),V_B_2)))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__iff,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_c),V_B_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_nat__case__0,axiom,
% 206.97/207.81 ! [V_f2_2,V_f1_2,T_c] : c_Nat_Onat_Onat__case(T_c,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 206.97/207.81
% 206.97/207.81 fof(fact_nat__case__Suc,axiom,
% 206.97/207.81 ! [V_nat_2,V_f2_2,V_f1_2,T_c] : c_Nat_Onat_Onat__case(T_c,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__mono,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_c),V_A_2)),hAPP(c_Set_OPow(T_c),V_B_2))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__insert,axiom,
% 206.97/207.81 ! [V_A_2,V_a_2,T_c] : hAPP(c_Set_OPow(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_c),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_c),V_a_2)),hAPP(c_Set_OPow(T_c),V_A_2))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__UNIV,axiom,
% 206.97/207.81 ! [T_c] : hAPP(c_Set_OPow(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_UN__Pow__subset,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_d),c_Set_OPow(T_c)),V_B_2))),hAPP(c_Set_OPow(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__Int__eq,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] : hAPP(c_Set_OPow(T_c),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(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_c),V_A_2)),hAPP(c_Set_OPow(T_c),V_B_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__Pow__mono,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),c_Set_Oimage(T_d,T_c,V_f_2)),hAPP(c_Set_OPow(T_d),V_A_2))),hAPP(c_Set_OPow(T_c),V_B_2))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Pow__empty,axiom,
% 206.97/207.81 ! [T_c] : hAPP(c_Set_OPow(T_c),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_max__Suc2,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_max__Suc1,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Un__Pow__subset,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_c),V_A_2)),hAPP(c_Set_OPow(T_c),V_B_2))),hAPP(c_Set_OPow(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Powp__Pow__eq,axiom,
% 206.97/207.81 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(c_Predicate_OPowp(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)),V_x_2))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_c),V_A_2))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_diff__Suc,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_field__le__mult__one__interval,axiom,
% 206.97/207.81 ! [V_y,V_x,T_a] :
% 206.97/207.81 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 206.97/207.81 => ( ! [B_z] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 206.97/207.81 => 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)) ) )
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 206.97/207.81 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_c] :
% 206.97/207.81 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 & class_Groups_Ocomm__monoid__mult(T_c) )
% 206.97/207.81 => ( V_A_2 = V_B_2
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 206.97/207.81 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_c),V_g_2),V_B_2) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_split__pos__lemma,axiom,
% 206.97/207.81 ! [V_n_2,V_Pa_2,V_k_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 206.97/207.81 => ( 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)))
% 206.97/207.81 <=> ! [B_i,B_j] :
% 206.97/207.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 206.97/207.81 & 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) )
% 206.97/207.81 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_split__neg__lemma,axiom,
% 206.97/207.81 ! [V_n_2,V_Pa_2,V_k_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => ( 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)))
% 206.97/207.81 <=> ! [B_i,B_j] :
% 206.97/207.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 & 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) )
% 206.97/207.81 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zpower__zmod,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zdiff__zmod__left,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zdiff__zmod__right,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__diff__cong,axiom,
% 206.97/207.81 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Oring__div(T_a)
% 206.97/207.81 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 206.97/207.81 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 206.97/207.81 => 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) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__diff__eq,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Oring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__diff__left__eq,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Oring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__diff__right__eq,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Oring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__simps_I3_J,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zmult1__eq,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__self,axiom,
% 206.97/207.81 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zero,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__add__cong,axiom,
% 206.97/207.81 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 206.97/207.81 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 206.97/207.81 => 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) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__simps_I1_J,axiom,
% 206.97/207.81 ! [V_b,V_c,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__simps_I2_J,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__add__eq,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__add__left__eq,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__add__right__eq,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__add__self1,axiom,
% 206.97/207.81 ! [V_a,V_b,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__add__self2,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__minus__eq,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Oring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__minus__cong,axiom,
% 206.97/207.81 ! [V_a_H,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Oring__div(T_a)
% 206.97/207.81 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 206.97/207.81 => 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) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__self,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__by__0,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__0,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mod__trivial,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__cong,axiom,
% 206.97/207.81 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 206.97/207.81 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 206.97/207.81 => 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) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__simps_I4_J,axiom,
% 206.97/207.81 ! [V_b,V_c,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__mult2,axiom,
% 206.97/207.81 ! [V_b,V_c,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__mult1,axiom,
% 206.97/207.81 ! [V_b,V_a,V_c,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__eq,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__left__eq,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__right__eq,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zminus__zmod,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zminus__zminus,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zminus2,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 206.97/207.81 ! [V_y,V_x] :
% 206.97/207.81 ( c_Nat__Transfer_Ois__nat(V_x)
% 206.97/207.81 => ( c_Nat__Transfer_Ois__nat(V_y)
% 206.97/207.81 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__self1__is__0,axiom,
% 206.97/207.81 ! [V_a,V_b,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__self2__is__0,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__self2,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__self1,axiom,
% 206.97/207.81 ! [V_b,V_c,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__by__1,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__div__trivial,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__le__nonneg__dividend,axiom,
% 206.97/207.81 ! [V_k,V_m] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 206.97/207.81 ! [V_y,V_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.81 => 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))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_pos__mod__bound,axiom,
% 206.97/207.81 ! [V_a,V_b] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_neg__mod__bound,axiom,
% 206.97/207.81 ! [V_a,V_b] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => 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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__eq__0__iff,axiom,
% 206.97/207.81 ! [V_d_2,V_m_2] :
% 206.97/207.81 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zminus1__not__zero,axiom,
% 206.97/207.81 ! [V_l,V_k] :
% 206.97/207.81 ( 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)
% 206.97/207.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zminus2__not__zero,axiom,
% 206.97/207.81 ! [V_l,V_k] :
% 206.97/207.81 ( 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)
% 206.97/207.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zdiv__trivial,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_DIVISION__BY__ZERO,axiom,
% 206.97/207.81 ! [V_a] :
% 206.97/207.81 ( 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)
% 206.97/207.81 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zdiv__zadd1__eq,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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 ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__div__equality2,axiom,
% 206.97/207.81 ! [V_a,V_b,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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 ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__div__equality,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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 ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_div__mod__equality2,axiom,
% 206.97/207.81 ! [V_c,V_a,V_b,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_div__mod__equality,axiom,
% 206.97/207.81 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__neg__neg__trivial,axiom,
% 206.97/207.81 ! [V_b,V_a] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 206.97/207.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_neg__mod__conj,axiom,
% 206.97/207.81 ! [V_a,V_b] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => ( 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)))
% 206.97/207.81 & 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))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_neg__mod__sign,axiom,
% 206.97/207.81 ! [V_a,V_b] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => 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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__pos__pos__trivial,axiom,
% 206.97/207.81 ! [V_b,V_a] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 206.97/207.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_pos__mod__conj,axiom,
% 206.97/207.81 ! [V_a,V_b] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.81 => ( 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)))
% 206.97/207.81 & 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_pos__mod__sign,axiom,
% 206.97/207.81 ! [V_a,V_b] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.81 => 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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zminus2__eq__if,axiom,
% 206.97/207.81 ! [V_b,V_a] :
% 206.97/207.81 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => 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) )
% 206.97/207.81 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => 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) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zminus1__eq__if,axiom,
% 206.97/207.81 ! [V_b,V_a] :
% 206.97/207.81 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => 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) )
% 206.97/207.81 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zdiv__equality,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zdiv__zmult1__eq,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zdiv__zmod__equality,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zdiv__zmod__equality2,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmult__div__cancel,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zdiv__equality_H,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__pos__neg__trivial,axiom,
% 206.97/207.81 ! [V_b,V_a] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.81 => ( 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)))
% 206.97/207.81 => 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) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_divmod__int__rel__mod__eq,axiom,
% 206.97/207.81 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 206.97/207.81 ( 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)
% 206.97/207.81 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 206.97/207.81 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmult2__lemma__aux2,axiom,
% 206.97/207.81 ! [V_q,V_r,V_b,V_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmult2__lemma__aux1,axiom,
% 206.97/207.81 ! [V_q,V_r,V_b,V_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmult2__lemma__aux4,axiom,
% 206.97/207.81 ! [V_q,V_b,V_r,V_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 206.97/207.81 => 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmult2__lemma__aux3,axiom,
% 206.97/207.81 ! [V_q,V_b,V_r,V_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 206.97/207.81 => 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_split__zmod,axiom,
% 206.97/207.81 ! [V_k_2,V_n_2,V_Pa_2] :
% 206.97/207.81 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 206.97/207.81 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 206.97/207.81 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 206.97/207.81 => ! [B_i,B_j] :
% 206.97/207.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 206.97/207.81 & 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) )
% 206.97/207.81 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 206.97/207.81 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => ! [B_i,B_j] :
% 206.97/207.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 & 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) )
% 206.97/207.81 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__zmult2__eq,axiom,
% 206.97/207.81 ! [V_b,V_a,V_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zdiv__zminus2__eq__if,axiom,
% 206.97/207.81 ! [V_a,V_b] :
% 206.97/207.81 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => 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)) )
% 206.97/207.81 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => 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)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zdiv__zminus1__eq__if,axiom,
% 206.97/207.81 ! [V_a,V_b] :
% 206.97/207.81 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => 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)) )
% 206.97/207.81 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => 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)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 206.97/207.81 ! [V_n_2,V_m_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 206.97/207.81 <=> 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_z3mod__def,axiom,
% 206.97/207.81 ! [V_k,V_l] :
% 206.97/207.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 206.97/207.81 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__neg,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.81 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__1__neg,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( c_Groups_Osgn__class_Osgn(T_c,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),c_Groups_Oone__class_Oone(T_c))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__if,axiom,
% 206.97/207.81 ! [V_x,T_a] :
% 206.97/207.81 ( class_Groups_Osgn__if(T_a)
% 206.97/207.81 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.81 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 206.97/207.81 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.81 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.81 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__less,axiom,
% 206.97/207.81 ! [V_n,V_m] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.81 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__distrib,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__distrib2,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__less__eq__dividend,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__sgn,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__0__0,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( c_Groups_Osgn__class_Osgn(T_c,V_a_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn0,axiom,
% 206.97/207.81 ! [T_a] :
% 206.97/207.81 ( class_Groups_Osgn__if(T_a)
% 206.97/207.81 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__times,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__Suc,axiom,
% 206.97/207.81 ! [V_n,V_m] :
% 206.97/207.81 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 206.97/207.81 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.81 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__1,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__less__divisor,axiom,
% 206.97/207.81 ! [V_m,V_n] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__eq__0__iff,axiom,
% 206.97/207.81 ! [V_d_2,V_m_2] :
% 206.97/207.81 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.81 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__if,axiom,
% 206.97/207.81 ! [V_n,V_m] :
% 206.97/207.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.81 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.81 => 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) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__geq,axiom,
% 206.97/207.81 ! [V_n,V_m] :
% 206.97/207.81 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__self3,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_le__mod__geq,axiom,
% 206.97/207.81 ! [V_m,V_n] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zmod__int,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_div__add1__eq,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__le__divisor,axiom,
% 206.97/207.81 ! [V_m,V_n] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult__self4,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__greater,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),c_Groups_Osgn__class_Osgn(T_c,V_a_2)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__less,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Osgn__class_Osgn(T_c,V_a_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__mult2__eq,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_div__mult1__eq,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_div__mod__equality_H,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mult__div__cancel,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Divides_Omod__div__equality_H,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_split__mod,axiom,
% 206.97/207.81 ! [V_k_2,V_n_2,V_Pa_2] :
% 206.97/207.81 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 206.97/207.81 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.81 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 206.97/207.81 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.81 => ! [B_i,B_j] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 206.97/207.81 => ( 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)
% 206.97/207.81 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mod__lemma,axiom,
% 206.97/207.81 ! [V_q,V_b,V_r,V_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 206.97/207.81 => 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_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))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Suc__times__mod__eq,axiom,
% 206.97/207.81 ! [V_m,V_k] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 206.97/207.81 ! [V_y,V_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_nat__mod__distrib,axiom,
% 206.97/207.81 ! [V_y,V_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__pos,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.81 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sgn__1__pos,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( c_Groups_Osgn__class_Osgn(T_c,V_a_2) = c_Groups_Oone__class_Oone(T_c)
% 206.97/207.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zsgn__def,axiom,
% 206.97/207.81 ! [V_i] :
% 206.97/207.81 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 206.97/207.81 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 206.97/207.81 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 206.97/207.81 => 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)) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_decr__lemma,axiom,
% 206.97/207.81 ! [V_z,V_x,V_d] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_incr__lemma,axiom,
% 206.97/207.81 ! [V_x,V_z,V_d] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 206.97/207.81 => 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)))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 206.97/207.81 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_c] :
% 206.97/207.81 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.81 & class_Groups_Ocomm__monoid__mult(T_c) )
% 206.97/207.81 => ( V_A_2 = V_B_2
% 206.97/207.81 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 206.97/207.81 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 206.97/207.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_c),V_g_2),V_B_2) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Sup__fold__sup,axiom,
% 206.97/207.81 ! [V_A_2,T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.81 => c_Complete__Lattice_OSup__class_OSup(T_c,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_UnionI,axiom,
% 206.97/207.81 ! [V_A_2,V_C_2,V_X_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_C_2))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),V_X_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_C_2))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__abs,axiom,
% 206.97/207.81 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_c)
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Oabs__class_Oabs(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,T_c,T_d),c_Groups_Oabs__class_Oabs(T_c)),V_f_2)),V_A_2))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setsum__abs__ge__zero,axiom,
% 206.97/207.81 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_c)
% 206.97/207.81 => 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__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,T_c,T_d),c_Groups_Oabs__class_Oabs(T_c)),V_f_2)),V_A_2))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__Pow__eq,axiom,
% 206.97/207.81 ! [V_A_2,T_c] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_OPow(T_c),V_A_2)) = V_A_2 ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__minus__commute,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__le__D1,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__ge__self,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__one,axiom,
% 206.97/207.81 ! [T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__minus__cancel,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__of__nat,axiom,
% 206.97/207.81 ! [V_n,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_power__abs,axiom,
% 206.97/207.81 ! [V_n,V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__idempotent,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__mult,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__mult__self,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__add__abs,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__eq__0,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_c)
% 206.97/207.81 => ( hAPP(c_Groups_Oabs__class_Oabs(T_c),V_a_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__zero,axiom,
% 206.97/207.81 ! [T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__int__eq,axiom,
% 206.97/207.81 ! [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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__divide,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__setsum__abs,axiom,
% 206.97/207.81 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_c)
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,T_c,T_d),c_Groups_Oabs__class_Oabs(T_c)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,T_c,T_d),c_Groups_Oabs__class_Oabs(T_c)),V_f_2)),V_A_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__setprod,axiom,
% 206.97/207.81 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.81 ( class_Fields_Olinordered__field(T_c)
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,T_c,T_d),c_Groups_Oabs__class_Oabs(T_c)),V_f_2)),V_A_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_image__Union,axiom,
% 206.97/207.81 ! [V_S_2,V_f_2,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_d,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_d,T_c,V_f_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Int__Union2,axiom,
% 206.97/207.81 ! [V_A_2,V_B_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Int__Union,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_UN__extend__simps_I8_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_d,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_UN__simps_I8_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_d,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool))),V_B_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Sup__le__iff,axiom,
% 206.97/207.81 ! [V_b_2,V_A_2,T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Complete__Lattice_OSup__class_OSup(T_c,V_A_2)),V_b_2))
% 206.97/207.81 <=> ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),B_x),V_b_2)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_less__Sup__iff,axiom,
% 206.97/207.81 ! [V_S_2,V_a_2,T_c] :
% 206.97/207.81 ( ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 & class_Orderings_Olinorder(T_c) )
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_c,V_S_2)))
% 206.97/207.81 <=> ? [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_S_2))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),B_x)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_vimage__Union,axiom,
% 206.97/207.81 ! [V_A_2,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_d,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_c,T_d,V_f_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__ge__zero,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__le__zero__iff,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Oabs__class_Oabs(T_c),V_a_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__of__nonneg,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__of__pos,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zero__less__abs__iff,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Groups_Oabs__class_Oabs(T_c),V_a_2)))
% 206.97/207.81 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__not__less__zero,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => ~ 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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__triangle__ineq,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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)))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__mult__less,axiom,
% 206.97/207.81 ! [V_d,V_b,V_c,V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 206.97/207.81 => 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))) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__triangle__ineq2__sym,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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)))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__triangle__ineq2,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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)))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__triangle__ineq3,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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)))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__le__D2,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__leI,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__le__iff,axiom,
% 206.97/207.81 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Oabs__class_Oabs(T_c),V_a_2)),V_b_2))
% 206.97/207.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),V_b_2))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)),V_b_2)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__ge__minus__self,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__less__iff,axiom,
% 206.97/207.81 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Groups_Oabs__class_Oabs(T_c),V_a_2)),V_b_2))
% 206.97/207.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),V_b_2))
% 206.97/207.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_a_2)),V_b_2)) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_nonzero__abs__divide,axiom,
% 206.97/207.81 ! [V_a,V_b,T_a] :
% 206.97/207.81 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.81 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__power__minus,axiom,
% 206.97/207.81 ! [V_n,V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__zmult__eq__1,axiom,
% 206.97/207.81 ! [V_n,V_m] :
% 206.97/207.81 ( 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)
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__disjoint,axiom,
% 206.97/207.81 ! [V_A_2,V_C_2,T_c] :
% 206.97/207.81 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.81 <=> ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_x),V_C_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__upper,axiom,
% 206.97/207.81 ! [V_A_2,V_B_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_mult__sgn__abs,axiom,
% 206.97/207.81 ! [V_x,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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 ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__sgn,axiom,
% 206.97/207.81 ! [V_k,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__empty,axiom,
% 206.97/207.81 ! [T_c] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__mono,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_B_2))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__insert,axiom,
% 206.97/207.81 ! [V_B_2,V_a_2,T_c] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(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),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_B_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_finite__UnionD,axiom,
% 206.97/207.81 ! [V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)))
% 206.97/207.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_subset__Pow__Union,axiom,
% 206.97/207.81 ! [V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__UNIV,axiom,
% 206.97/207.81 ! [T_c] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__Un__distrib,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_B_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__eq__mult,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Rings_Oordered__ring__abs(T_a)
% 206.97/207.81 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.81 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 206.97/207.81 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 206.97/207.81 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__mult__pos,axiom,
% 206.97/207.81 ! [V_y,V_x,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_UNION__eq__Union__image,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(T_d,tc_fun(T_c,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__image__eq,axiom,
% 206.97/207.81 ! [V_A_2,V_B_2,T_d,T_c] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(T_d,tc_fun(T_c,tc_HOL_Obool),V_B_2),V_A_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) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__diff__triangle__ineq,axiom,
% 206.97/207.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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))))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__triangle__ineq4,axiom,
% 206.97/207.81 ! [V_b,V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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)))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__of__nonpos,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__minus__le__zero,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => 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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__if,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oabs__if(T_a)
% 206.97/207.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__of__neg,axiom,
% 206.97/207.81 ! [V_a,T_a] :
% 206.97/207.81 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zero__le__power__abs,axiom,
% 206.97/207.81 ! [V_n,V_a,T_a] :
% 206.97/207.81 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.81 => 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))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_abs__div__pos,axiom,
% 206.97/207.81 ! [V_x,V_y,T_a] :
% 206.97/207.81 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Sup__upper,axiom,
% 206.97/207.81 ! [V_A_2,V_x_2,T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_c,V_A_2))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Sup__empty,axiom,
% 206.97/207.81 ! [T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => c_Complete__Lattice_OSup__class_OSup(T_c,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_c) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Sup__singleton,axiom,
% 206.97/207.81 ! [V_a_2,T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => c_Complete__Lattice_OSup__class_OSup(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = V_a_2 ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zabs__less__one__iff,axiom,
% 206.97/207.81 ! [V_z_2] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Sup__insert,axiom,
% 206.97/207.81 ! [V_A_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => c_Complete__Lattice_OSup__class_OSup(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_c,V_A_2)) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zabs__def,axiom,
% 206.97/207.81 ! [V_i] :
% 206.97/207.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 206.97/207.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.81 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Sup__UNIV,axiom,
% 206.97/207.81 ! [T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => c_Complete__Lattice_OSup__class_OSup(T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_c) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_nat__abs__mult__distrib,axiom,
% 206.97/207.81 ! [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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zero__le__zpower__abs,axiom,
% 206.97/207.81 ! [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))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_INT__simps_I8_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_d,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool))),V_B_2)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_INT__extend__simps_I8_J,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_d,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Un__eq__Union,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_c,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Un__Union__image,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,V_C_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_d,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_d),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)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(T_d,tc_fun(T_c,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(T_d,tc_fun(T_c,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__Int__subset,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_B_2)))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_zero__less__zpower__abs__iff,axiom,
% 206.97/207.81 ! [V_n_2,V_x_2] :
% 206.97/207.81 ( 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)))
% 206.97/207.81 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.81 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Sup__binary,axiom,
% 206.97/207.81 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => c_Complete__Lattice_OSup__class_OSup(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_a_2),V_b_2) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_sup__Sup__fold__sup,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_c,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_B_2),V_A_2) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Sup__fin__Sup,axiom,
% 206.97/207.81 ! [V_A_2,T_c] :
% 206.97/207.81 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.81 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.81 => c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_c,V_A_2) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 206.97/207.81 ! [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)))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_inj__on__Inter,axiom,
% 206.97/207.81 ! [V_f_2,T_d,T_c,V_S_2] :
% 206.97/207.81 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))
% 206.97/207.81 => ( ! [B_A] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_A),V_S_2))
% 206.97/207.81 => c_Fun_Oinj__on(T_c,T_d,V_f_2,B_A) )
% 206.97/207.81 => c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_S_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Inter__subset,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.81 ( ! [B_X] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_X),V_A_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_X),V_B_2)) )
% 206.97/207.81 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_int__val__lemma,axiom,
% 206.97/207.81 ! [V_k_2,V_f_2,V_n_2] :
% 206.97/207.81 ( ! [B_i] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 206.97/207.81 => 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))) )
% 206.97/207.81 => ( 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))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 206.97/207.81 => ? [B_i] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 206.97/207.81 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Union__def,axiom,
% 206.97/207.81 ! [V_S_2,T_c] : 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_c,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_c,tc_HOL_Obool))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 206.97/207.81 ! [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)) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_finite__Union,axiom,
% 206.97/207.81 ! [V_A_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_c,tc_HOL_Obool)),V_A_2))
% 206.97/207.81 => ( ! [B_M] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_M),V_A_2))
% 206.97/207.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_M)) )
% 206.97/207.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_insert__partition,axiom,
% 206.97/207.81 ! [V_F_2,V_x_2,T_c] :
% 206.97/207.81 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_x_2),V_F_2))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_c,tc_HOL_Obool)),V_x_2),V_F_2)))
% 206.97/207.81 => ! [B_xa] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_c,tc_HOL_Obool)),V_x_2),V_F_2)))
% 206.97/207.81 => ( B_x != B_xa
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_card__partition,axiom,
% 206.97/207.81 ! [V_k_2,V_C_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_c,tc_HOL_Obool)),V_C_2))
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_C_2)))
% 206.97/207.81 => ( ! [B_c] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_c),V_C_2))
% 206.97/207.81 => hAPP(c_Finite__Set_Ocard(T_c),B_c) = V_k_2 )
% 206.97/207.81 => ( ! [B_c1] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_c1),V_C_2))
% 206.97/207.81 => ! [B_c2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_c2),V_C_2))
% 206.97/207.81 => ( B_c1 != B_c2
% 206.97/207.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 206.97/207.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_c,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_nat__gcd_Osimps,axiom,
% 206.97/207.81 ! [V_x,V_y] :
% 206.97/207.81 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.81 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 206.97/207.81 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.81 => 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)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 206.97/207.81 ! [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)))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_nat0__intermed__int__val,axiom,
% 206.97/207.81 ! [V_k_2,V_f_2,V_n_2] :
% 206.97/207.81 ( ! [B_i] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 206.97/207.81 => 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))) )
% 206.97/207.81 => ( 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))
% 206.97/207.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 206.97/207.81 => ? [B_i] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 206.97/207.81 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_setprod__pos__nat,axiom,
% 206.97/207.81 ! [V_f_2,V_S_2,T_c] :
% 206.97/207.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_S_2))
% 206.97/207.81 => 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))) )
% 206.97/207.81 => 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_c,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_inj__on__INTER,axiom,
% 206.97/207.81 ! [V_A_2,V_f_2,T_e,T_d,T_c,V_I_2] :
% 206.97/207.81 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.81 => ( ! [B_i] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_i),V_I_2))
% 206.97/207.81 => c_Fun_Oinj__on(T_d,T_e,V_f_2,hAPP(V_A_2,B_i)) )
% 206.97/207.81 => c_Fun_Oinj__on(T_d,T_e,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 206.97/207.81 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_d,T_c] :
% 206.97/207.81 ( c_Finite__Set_Ofolding__image__simple(T_c,T_d,V_f_2,V_z_2,V_g_2,V_F_2)
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.97/207.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.97/207.81 => ( ! [B_x] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)))
% 206.97/207.81 => hAPP(V_g_2,B_x) = V_z_2 )
% 206.97/207.81 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,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)) ) ) ) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_card__less__Suc2,axiom,
% 206.97/207.81 ! [V_i_2,V_M_2] :
% 206.97/207.81 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 206.97/207.81 => 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))))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_card__less,axiom,
% 206.97/207.81 ! [V_i_2,V_M_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 206.97/207.81 => 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) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_card__less__Suc,axiom,
% 206.97/207.81 ! [V_i_2,V_M_2] :
% 206.97/207.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 206.97/207.81 => 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))))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_CollectI,axiom,
% 206.97/207.81 ! [T_c,V_a_2,V_Pa_2] :
% 206.97/207.81 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 206.97/207.81 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_OCollect(T_c),V_Pa_2))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_finite__Collect__conjI,axiom,
% 206.97/207.81 ! [V_Qa_2,V_Pa_2,T_c] :
% 206.97/207.81 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),V_Pa_2)))
% 206.97/207.81 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),V_Qa_2))) )
% 206.97/207.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(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),V_Pa_2)),V_Qa_2)))) ) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_finite__Collect__less__nat,axiom,
% 206.97/207.81 ! [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)))) ).
% 206.97/207.81
% 206.97/207.81 fof(fact_finite__Collect__le__nat,axiom,
% 206.97/207.81 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Collect__disj__eq,axiom,
% 206.97/207.82 ! [V_Qa_2,V_Pa_2,T_c] : hAPP(c_Set_OCollect(T_c),hAPP(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_fdisj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_c),V_Pa_2)),hAPP(c_Set_OCollect(T_c),V_Qa_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Collect__conj__eq,axiom,
% 206.97/207.82 ! [V_Qa_2,V_Pa_2,T_c] : hAPP(c_Set_OCollect(T_c),hAPP(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),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_c),V_Pa_2)),hAPP(c_Set_OCollect(T_c),V_Qa_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_CollectE,axiom,
% 206.97/207.82 ! [V_Pa_2,V_a_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))
% 206.97/207.82 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_CollectD,axiom,
% 206.97/207.82 ! [V_Pa_2,V_a_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))
% 206.97/207.82 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mem__Collect__eq,axiom,
% 206.97/207.82 ! [V_Pa_2,V_a_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))
% 206.97/207.82 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Collect__mem__eq,axiom,
% 206.97/207.82 ! [V_A_2,T_c] : hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)) = V_A_2 ).
% 206.97/207.82
% 206.97/207.82 fof(fact_empty__def,axiom,
% 206.97/207.82 ! [T_c] : c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_c),hAPP(c_COMBK(tc_HOL_Obool,T_c),c_fFalse)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_empty__Collect__eq,axiom,
% 206.97/207.82 ! [V_Pa_2,T_c] :
% 206.97/207.82 ( c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_c),V_Pa_2)
% 206.97/207.82 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Collect__empty__eq,axiom,
% 206.97/207.82 ! [V_Pa_2,T_c] :
% 206.97/207.82 ( hAPP(c_Set_OCollect(T_c),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Collect__def,axiom,
% 206.97/207.82 ! [V_Pa_2,T_c] : hAPP(c_Set_OCollect(T_c),V_Pa_2) = V_Pa_2 ).
% 206.97/207.82
% 206.97/207.82 fof(fact_UNIV__def,axiom,
% 206.97/207.82 ! [T_c] : c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_c),hAPP(c_COMBK(tc_HOL_Obool,T_c),c_fTrue)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_insert__Collect,axiom,
% 206.97/207.82 ! [V_Pa_2,V_a_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(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_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_finite__Collect__disjI,axiom,
% 206.97/207.82 ! [V_Qa_2,V_Pa_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(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_fdisj),V_Pa_2)),V_Qa_2))))
% 206.97/207.82 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),V_Pa_2)))
% 206.97/207.82 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),V_Qa_2))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Collect__neg__eq,axiom,
% 206.97/207.82 ! [V_Pa_2,T_c] : hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_c),V_Pa_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_vimage__Collect__eq,axiom,
% 206.97/207.82 ! [V_Pa_2,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),hAPP(c_Set_OCollect(T_d),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_d,tc_HOL_Obool,T_c),V_Pa_2),V_f_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_insert__compr,axiom,
% 206.97/207.82 ! [V_B_2,V_a_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_c),hAPP(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_fdisj),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_insert__compr__raw,axiom,
% 206.97/207.82 ! [V_B_2,V_a_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_c),hAPP(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_fdisj),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Un__def,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_c),hAPP(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_fdisj),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_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Int__def,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_c),hAPP(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(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Int__Collect,axiom,
% 206.97/207.82 ! [V_Pa_2,V_A_2,V_x_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_c),V_Pa_2))))
% 206.97/207.82 <=> ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.82 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_singleton__conv2,axiom,
% 206.97/207.82 ! [V_a_2,T_c] : hAPP(c_Set_OCollect(T_c),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_singleton__conv,axiom,
% 206.97/207.82 ! [V_a_2,T_c] : hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Collect__conv__if2,axiom,
% 206.97/207.82 ! [T_c,V_a_2,V_Pa_2] :
% 206.97/207.82 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 206.97/207.82 => hAPP(c_Set_OCollect(T_c),hAPP(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(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 206.97/207.82 => hAPP(c_Set_OCollect(T_c),hAPP(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(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Collect__conv__if,axiom,
% 206.97/207.82 ! [T_c,V_a_2,V_Pa_2] :
% 206.97/207.82 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 206.97/207.82 => hAPP(c_Set_OCollect(T_c),hAPP(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,T_c,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 206.97/207.82 => hAPP(c_Set_OCollect(T_c),hAPP(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,T_c,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_set__diff__eq,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_c),hAPP(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_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_finite__Collect__not,axiom,
% 206.97/207.82 ! [V_Pa_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),V_Pa_2)))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))
% 206.97/207.82 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_insert__def,axiom,
% 206.97/207.82 ! [V_B_2,V_a_2,T_c] : hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Compl__eq,axiom,
% 206.97/207.82 ! [V_A_2,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_vimage__def,axiom,
% 206.97/207.82 ! [V_B_2,V_f_2,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(T_d)),V_f_2)),V_B_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Collect__imp__eq,axiom,
% 206.97/207.82 ! [V_Qa_2,V_Pa_2,T_c] : hAPP(c_Set_OCollect(T_c),hAPP(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),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_c),V_Pa_2))),hAPP(c_Set_OCollect(T_c),V_Qa_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_finite__M__bounded__by__nat,axiom,
% 206.97/207.82 ! [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))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_setsum__setsum__restrict,axiom,
% 206.97/207.82 ! [V_R_2,V_f_2,V_T_2,T_d,V_S_2,T_c,T_e] :
% 206.97/207.82 ( class_Groups_Ocomm__monoid__add(T_e)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_T_2))
% 206.97/207.82 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_e),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_d,tc_HOL_Obool),T_e),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_e),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_e),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_e)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),c_Set_OCollect(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_e),hAPP(hAPP(c_COMBS(T_d,tc_fun(T_c,tc_HOL_Obool),T_e),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_e),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_e),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_e)),hAPP(c_COMBC(T_c,T_d,T_e),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),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_S_2)))),hAPP(c_COMBC(T_c,T_d,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_if__image__distrib,axiom,
% 206.97/207.82 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,hAPP(hAPP(c_COMBS(T_d,T_c,T_c),hAPP(hAPP(c_COMBS(T_d,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_d),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_d),V_Pa_2)))),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_d),c_fNot),V_Pa_2))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__seg__image__imp__finite,axiom,
% 206.97/207.82 ! [V_n_2,V_f_2,T_c,V_A_2] :
% 206.97/207.82 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_c,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)))
% 206.97/207.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_setsum__restrict__set_H,axiom,
% 206.97/207.82 ! [V_B_2,V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.82 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),hAPP(c_Set_OCollect(T_c),hAPP(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(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBC(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_d))),V_A_2) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_setsum__image__gen,axiom,
% 206.97/207.82 ! [V_f_2,T_e,V_g_2,V_S_2,T_c,T_d] :
% 206.97/207.82 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.82 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_e,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_e),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e),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_S_2)))),hAPP(c_COMBC(T_c,T_e,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_e,tc_HOL_Obool),T_c),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_c,T_e,V_f_2),V_S_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_setsum__cases,axiom,
% 206.97/207.82 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_c,T_d] :
% 206.97/207.82 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,T_d),hAPP(hAPP(c_COMBS(T_c,T_d,tc_fun(T_d,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_d,tc_fun(T_d,T_d)),T_c),c_If(T_d)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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_Set_OCollect(T_c),V_Pa_2))))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_setsum__multicount,axiom,
% 206.97/207.82 ! [V_k_2,V_R_2,V_T_2,T_d,V_S_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_T_2))
% 206.97/207.82 => ( ! [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_T_2))
% 206.97/207.82 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_OCollect(T_c),hAPP(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_S_2))),hAPP(hAPP(c_COMBC(T_c,T_d,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 206.97/207.82 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_Nat_Onat,T_c),c_Finite__Set_Ocard(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),c_Set_OCollect(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),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_d),V_T_2)) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 206.97/207.82 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Orderings_Olinorder(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_c),V_x_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2))))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 206.97/207.82 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Orderings_Olinorder(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_c),V_x_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2))))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Orderings_Olinorder(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.82 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),T_c),c_COMBS(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_c),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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal))),c_Orderings_Oord__class_Omax(T_c)))))),hAPP(hAPP(c_COMBC(T_c,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_c),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_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(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_finite__Collect__subsets,axiom,
% 206.97/207.82 ! [V_A_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool))),V_A_2)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Pow__Compl,axiom,
% 206.97/207.82 ! [V_A_2,T_c] : hAPP(c_Set_OPow(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_c,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_COMBS(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_c,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_c))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Pow__def,axiom,
% 206.97/207.82 ! [V_A_2,T_c] : hAPP(c_Set_OPow(T_c),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool))),V_A_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_finite__image__set,axiom,
% 206.97/207.82 ! [V_f_2,T_d,V_Pa_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),V_Pa_2)))
% 206.97/207.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(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_d),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_d),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_c,T_d),tc_fun(T_c,tc_HOL_Obool)),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)),V_f_2)))),V_Pa_2))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_finite__Collect__bounded__ex,axiom,
% 206.97/207.82 ! [V_Qa_2,T_d,V_Pa_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),V_Pa_2)))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),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),V_Pa_2))),V_Qa_2)))))
% 206.97/207.82 <=> ! [B_y] :
% 206.97/207.82 ( hBOOL(hAPP(V_Pa_2,B_y))
% 206.97/207.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBC(T_d,T_c,tc_HOL_Obool),V_Qa_2),B_y)))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Min__commute,axiom,
% 206.97/207.82 ! [V_k_2,V_N_2,T_c] :
% 206.97/207.82 ( class_Groups_Olinordered__ab__semigroup__add(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.97/207.82 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_c,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_c),V_k_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_N_2))))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Max__commute,axiom,
% 206.97/207.82 ! [V_k_2,V_N_2,T_c] :
% 206.97/207.82 ( class_Groups_Olinordered__ab__semigroup__add(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_N_2))
% 206.97/207.82 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_c,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_c),V_k_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_N_2))))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_sup__Inf2__distrib,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Lattices_Odistrib__lattice(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.82 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),T_c),c_COMBS(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_c),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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_c)))))),hAPP(hAPP(c_COMBC(T_c,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_c),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_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(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_sup__Inf1__distrib,axiom,
% 206.97/207.82 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Lattices_Odistrib__lattice(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_c,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2))))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_inf__Sup2__distrib,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Lattices_Odistrib__lattice(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.82 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),T_c),c_COMBS(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_c),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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_c)))))),hAPP(hAPP(c_COMBC(T_c,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_c),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_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(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_inf__Sup1__distrib,axiom,
% 206.97/207.82 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Lattices_Odistrib__lattice(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_c,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2))))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Orderings_Olinorder(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.82 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.82 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),T_c),c_COMBS(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_c),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_c),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal))),c_Orderings_Oord__class_Omin(T_c)))))),hAPP(hAPP(c_COMBC(T_c,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_c),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_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(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_setsum__multicount__gen,axiom,
% 206.97/207.82 ! [V_k_2,V_R_2,V_t_2,T_d,V_s_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_s_2))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_t_2))
% 206.97/207.82 => ( ! [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_t_2))
% 206.97/207.82 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_OCollect(T_c),hAPP(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_s_2))),hAPP(hAPP(c_COMBC(T_c,T_d,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 206.97/207.82 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_Nat_Onat,T_c),c_Finite__Set_Ocard(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),c_Set_OCollect(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_finite__conv__nat__seg__image,axiom,
% 206.97/207.82 ! [V_A_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_c,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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_pigeonhole__infinite,axiom,
% 206.97/207.82 ! [V_f_2,T_d,V_A_2,T_c] :
% 206.97/207.82 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))
% 206.97/207.82 => ? [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.82 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(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(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_card__quotient__disjoint,axiom,
% 206.97/207.82 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( c_Fun_Oinj__on(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),T_c),c_Equiv__Relations_Oquotient(T_c)),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))))),V_r_2),V_A_2)
% 206.97/207.82 => hAPP(c_Finite__Set_Ocard(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_quotient__is__empty,axiom,
% 206.97/207.82 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.82 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))
% 206.97/207.82 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_quotient__is__empty2,axiom,
% 206.97/207.82 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.82 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)
% 206.97/207.82 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_quotient__empty,axiom,
% 206.97/207.82 ! [V_r_2,T_c] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_quotient__diff1,axiom,
% 206.97/207.82 ! [V_a_2,V_A_2,V_r_2,T_c] :
% 206.97/207.82 ( c_Fun_Oinj__on(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),T_c),c_Equiv__Relations_Oquotient(T_c)),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))))),V_r_2),V_A_2)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.82 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),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_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_quotient__def,axiom,
% 206.97/207.82 ! [V_r_2,V_A_2,T_c] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_c,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)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_singleton__quotient,axiom,
% 206.97/207.82 ! [V_r_2,V_x_2,T_c] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_finite__UN__I,axiom,
% 206.97/207.82 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( ! [B_a] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_a),V_A_2))
% 206.97/207.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(V_B_2,B_a))) )
% 206.97/207.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_inj__on__diff__nat,axiom,
% 206.97/207.82 ! [V_k_2,V_N_2] :
% 206.97/207.82 ( ! [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_quotientI,axiom,
% 206.97/207.82 ! [V_r_2,V_A_2,V_x_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Image__eq__UN,axiom,
% 206.97/207.82 ! [V_B_2,V_r_2,T_c,T_d] : hAPP(c_Relation_OImage(T_d,T_c,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Relation_OImage(T_d,T_c,V_r_2)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),c_Set_Oinsert(T_d)),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Image__INT__subset,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_e,V_r_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_d,T_c,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e),c_Relation_OImage(T_d,T_c,V_r_2)),V_B_2)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Image__Int__subset,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,V_R_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_d,T_c,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,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_Relation_OImage(T_d,T_c,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_d,T_c,V_R_2),V_B_2)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Image__UN,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_e,V_r_2,T_c,T_d] : hAPP(c_Relation_OImage(T_d,T_c,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e),c_Relation_OImage(T_d,T_c,V_r_2)),V_B_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Image__empty,axiom,
% 206.97/207.82 ! [V_R_2,T_c,T_d] : hAPP(c_Relation_OImage(T_d,T_c,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Image__mono,axiom,
% 206.97/207.82 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_d,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_d,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_c,T_d,V_r_2),V_A_2))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Image__Un,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,V_R_2,T_c,T_d] : hAPP(c_Relation_OImage(T_d,T_c,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,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(c_Relation_OImage(T_d,T_c,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_d,T_c,V_R_2),V_B_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Un__Image,axiom,
% 206.97/207.82 ! [V_A_2,V_S_2,V_R_2,T_c,T_d] : hAPP(c_Relation_OImage(T_d,T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_d,T_c,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_d,T_c,V_S_2),V_A_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_quotientE,axiom,
% 206.97/207.82 ! [V_r_2,V_A_2,V_X_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.82 => ~ ! [B_x] :
% 206.97/207.82 ( V_X_2 = hAPP(c_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.97/207.82 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__nat__eq__if,axiom,
% 206.97/207.82 ! [V_z_2,V_z_H_2] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_setsum__SucD,axiom,
% 206.97/207.82 ! [V_n_2,V_A_2,V_f_2,T_c] :
% 206.97/207.82 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 206.97/207.82 => ? [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.82 & 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))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__mod__eq__lemma,axiom,
% 206.97/207.82 ! [V_y,V_n,V_x] :
% 206.97/207.82 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 206.97/207.82 => ? [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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_not__neg__int,axiom,
% 206.97/207.82 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_not__neg__1,axiom,
% 206.97/207.82 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__by__empty,axiom,
% 206.97/207.82 ! [V_B_2,T_c,V_A_2] :
% 206.97/207.82 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_not__neg__0,axiom,
% 206.97/207.82 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_not__neg__eq__ge__0,axiom,
% 206.97/207.82 ! [V_x_2] :
% 206.97/207.82 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__def,axiom,
% 206.97/207.82 ! [V_Z_2] :
% 206.97/207.82 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__nat,axiom,
% 206.97/207.82 ! [V_z] :
% 206.97/207.82 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 206.97/207.82 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_not__neg__nat,axiom,
% 206.97/207.82 ! [V_z] :
% 206.97/207.82 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 206.97/207.82 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__zminus__int,axiom,
% 206.97/207.82 ! [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))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osize_I5_J,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osize_I13_J,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_fold__image__1,axiom,
% 206.97/207.82 ! [V_f_2,V_S_2,T_c,T_d] :
% 206.97/207.82 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.82 => ( ! [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_S_2))
% 206.97/207.82 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_d) )
% 206.97/207.82 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_f_2),c_Groups_Oone__class_Oone(T_d)),V_S_2) = c_Groups_Oone__class_Oone(T_d) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_card_Oneutral,axiom,
% 206.97/207.82 ! [V_A_2,T_c] :
% 206.97/207.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.82 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.82 => hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I4_J,axiom,
% 206.97/207.82 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 206.97/207.82 ( 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)
% 206.97/207.82 <=> ( V_fun_2 = V_fun_H_2
% 206.97/207.82 & V_com1_2 = V_com1_H_2
% 206.97/207.82 & V_com2_2 = V_com2_H_2 ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I52_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I53_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I45_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I44_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I15_J,axiom,
% 206.97/207.82 ! [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 ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I14_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mod__induct__0,axiom,
% 206.97/207.82 ! [V_i_2,V_Pa_2,V_p_2] :
% 206.97/207.82 ( ! [B_i] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 206.97/207.82 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 206.97/207.82 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 206.97/207.82 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 206.97/207.82 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_InterI,axiom,
% 206.97/207.82 ! [V_A_2,V_C_2,T_c] :
% 206.97/207.82 ( ! [B_X] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_X),V_C_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),B_X)) )
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_C_2))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_fold__image__cong,axiom,
% 206.97/207.82 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_c,T_d] :
% 206.97/207.82 ( class_Groups_Oab__semigroup__mult(T_d)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( ! [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.82 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 206.97/207.82 => 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),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_inf__le__fold__inf,axiom,
% 206.97/207.82 ! [V_c_2,V_b_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Lattices_Osemilattice__inf(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( ! [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),B_x)) )
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_c_2),V_A_2))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_fold__sup__le__sup,axiom,
% 206.97/207.82 ! [V_c_2,V_b_2,V_A_2,T_c] :
% 206.97/207.82 ( class_Lattices_Osemilattice__sup(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.82 => ( ! [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),B_x),V_b_2)) )
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_b_2),V_c_2))) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_expand__Suc,axiom,
% 206.97/207.82 ! [V_v] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_quotient__disj,axiom,
% 206.97/207.82 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_c] :
% 206.97/207.82 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.82 => ( V_X_2 = V_Y_2
% 206.97/207.82 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osize_I3_J,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_of__nat__number__of__eq,axiom,
% 206.97/207.82 ! [V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_of__nat__number__of__lemma,axiom,
% 206.97/207.82 ! [V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => ( ( 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)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ 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)))
% 206.97/207.82 => 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) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__eq,axiom,
% 206.97/207.82 ! [V_k,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_of__int__number__of__eq,axiom,
% 206.97/207.82 ! [V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I2_J,axiom,
% 206.97/207.82 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 206.97/207.82 ( 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)
% 206.97/207.82 <=> ( V_loc_2 = V_loc_H_2
% 206.97/207.82 & V_fun_2 = V_fun_H_2
% 206.97/207.82 & V_com_2 = V_com_H_2 ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__reorient,axiom,
% 206.97/207.82 ! [V_x_2,V_w_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber(T_c)
% 206.97/207.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2) = V_x_2
% 206.97/207.82 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__number__of,axiom,
% 206.97/207.82 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Int_Oring__char__0(T_c) )
% 206.97/207.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)
% 206.97/207.82 <=> V_x_2 = V_y_2 ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I39_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I38_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I37_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I36_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I34_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I35_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I11_J,axiom,
% 206.97/207.82 ! [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 ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osimps_I10_J,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__number__of__eq__not__less,axiom,
% 206.97/207.82 ! [V_w_2,V_v_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber(T_c)
% 206.97/207.82 & class_Orderings_Olinorder(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_v_2))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_right__distrib__number__of,axiom,
% 206.97/207.82 ! [V_c,V_b,V_v,T_b] :
% 206.97/207.82 ( ( class_Int_Onumber(T_b)
% 206.97/207.82 & class_Rings_Osemiring(T_b) )
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_left__distrib__number__of,axiom,
% 206.97/207.82 ! [V_v,V_b,V_a,T_b] :
% 206.97/207.82 ( ( class_Int_Onumber(T_b)
% 206.97/207.82 & class_Rings_Osemiring(T_b) )
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_right__diff__distrib__number__of,axiom,
% 206.97/207.82 ! [V_c,V_b,V_v,T_b] :
% 206.97/207.82 ( ( class_Int_Onumber(T_b)
% 206.97/207.82 & class_Rings_Oring(T_b) )
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_left__diff__distrib__number__of,axiom,
% 206.97/207.82 ! [V_v,V_b,V_a,T_b] :
% 206.97/207.82 ( ( class_Int_Onumber(T_b)
% 206.97/207.82 & class_Rings_Oring(T_b) )
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__number__of,axiom,
% 206.97/207.82 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__number__of,axiom,
% 206.97/207.82 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_min__number__of,axiom,
% 206.97/207.82 ! [V_v,V_u,T_b] :
% 206.97/207.82 ( ( class_Int_Onumber(T_b)
% 206.97/207.82 & class_Orderings_Oord(T_b) )
% 206.97/207.82 => ( ( 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)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ 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)))
% 206.97/207.82 => 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) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_max__number__of,axiom,
% 206.97/207.82 ! [V_v,V_u,T_b] :
% 206.97/207.82 ( ( class_Int_Onumber(T_b)
% 206.97/207.82 & class_Orderings_Oord(T_b) )
% 206.97/207.82 => ( ( 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)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ 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)))
% 206.97/207.82 => 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) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__number__of__left,axiom,
% 206.97/207.82 ! [V_z,V_w,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__number__of__eq,axiom,
% 206.97/207.82 ! [V_w,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__add,axiom,
% 206.97/207.82 ! [V_w,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__number__of__left,axiom,
% 206.97/207.82 ! [V_z,V_w,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_arith__simps_I32_J,axiom,
% 206.97/207.82 ! [V_w,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__mult,axiom,
% 206.97/207.82 ! [V_w,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__diff,axiom,
% 206.97/207.82 ! [V_w,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_arith__simps_I30_J,axiom,
% 206.97/207.82 ! [V_w,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__minus,axiom,
% 206.97/207.82 ! [V_w,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Ints__number__of,axiom,
% 206.97/207.82 ! [V_w_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Int_Oring__1__class_OInts(T_c))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Union__quotient,axiom,
% 206.97/207.82 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.82 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.82 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)) = V_A_2 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__eq__eq__number__of1,axiom,
% 206.97/207.82 ! [V_a_2,V_w_2,V_b_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Ofield__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)) = V_a_2
% 206.97/207.82 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2) != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)) )
% 206.97/207.82 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 => V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__eq__eq__number__of,axiom,
% 206.97/207.82 ! [V_w_2,V_c_2,V_b_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Ofield__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)
% 206.97/207.82 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2) )
% 206.97/207.82 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__divide__eq__number__of,axiom,
% 206.97/207.82 ! [V_c_2,V_b_2,V_w_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Ofield__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)
% 206.97/207.82 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2) = V_b_2 )
% 206.97/207.82 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__divide__eq__number__of1,axiom,
% 206.97/207.82 ! [V_w_2,V_b_2,V_a_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Ofield__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))
% 206.97/207.82 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2) != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)) = V_b_2 )
% 206.97/207.82 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 => V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__number__of__diff1,axiom,
% 206.97/207.82 ! [V_c,V_w,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_minus__number__of__mult,axiom,
% 206.97/207.82 ! [V_z,V_w,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__number__of__eq,axiom,
% 206.97/207.82 ! [V_w,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__less__eq__number__of1,axiom,
% 206.97/207.82 ! [V_a_2,V_w_2,V_b_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))),V_a_2))
% 206.97/207.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))),V_b_2)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__less__eq__number__of,axiom,
% 206.97/207.82 ! [V_w_2,V_c_2,V_b_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2)),V_b_2)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))) ) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__divide__eq__number__of,axiom,
% 206.97/207.82 ! [V_c_2,V_b_2,V_w_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)))
% 206.97/207.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2)),V_b_2)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__divide__eq__number__of1,axiom,
% 206.97/207.82 ! [V_w_2,V_b_2,V_a_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))))
% 206.97/207.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))),V_b_2)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_abs__number__of,axiom,
% 206.97/207.82 ! [V_x,T_a] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_a) )
% 206.97/207.82 => ( ( 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)))
% 206.97/207.82 => 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)) )
% 206.97/207.82 & ( ~ 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)))
% 206.97/207.82 => 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) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__number__of__diff2,axiom,
% 206.97/207.82 ! [V_w,V_c,V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__divide__eq__number__of1,axiom,
% 206.97/207.82 ! [V_w_2,V_b_2,V_a_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))))
% 206.97/207.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))),V_b_2)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a_2),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__divide__eq__number__of,axiom,
% 206.97/207.82 ! [V_c_2,V_b_2,V_w_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)))
% 206.97/207.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2)),V_b_2)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c))) ) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__le__eq__number__of,axiom,
% 206.97/207.82 ! [V_w_2,V_c_2,V_b_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_c_2))
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),V_c_2)),V_b_2)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),V_c_2),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))) ) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__le__eq__number__of1,axiom,
% 206.97/207.82 ! [V_a_2,V_w_2,V_b_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))),V_a_2))
% 206.97/207.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)))
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2))),V_b_2)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_a_2)) ) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_equiv__class__self,axiom,
% 206.97/207.82 ! [V_a_2,V_r_2,V_A_2,T_c] :
% 206.97/207.82 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Relation_OImage(T_c,T_c,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)))))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_com_Osize_I11_J,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_UN__equiv__class,axiom,
% 206.97/207.82 ! [V_a_2,V_f_2,T_d,V_r_2,V_A_2,T_c] :
% 206.97/207.82 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.82 => ( c_Equiv__Relations_Ocongruent(T_c,tc_fun(T_d,tc_HOL_Obool),V_r_2,V_f_2)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.82 => hAPP(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_r_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) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_UN__equiv__class2,axiom,
% 206.97/207.82 ! [V_a2_2,V_a1_2,V_f_2,T_e,V_r2_2,V_A2_2,T_d,V_r1_2,V_A1_2,T_c] :
% 206.97/207.82 ( c_Equiv__Relations_Oequiv(T_c,V_A1_2,V_r1_2)
% 206.97/207.82 => ( c_Equiv__Relations_Oequiv(T_d,V_A2_2,V_r2_2)
% 206.97/207.82 => ( c_Equiv__Relations_Ocongruent2(T_c,T_d,tc_fun(T_e,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a1_2),V_A1_2))
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_a2_2),V_A2_2))
% 206.97/207.82 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_e,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool)),tc_fun(T_e,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_e,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_d,T_d,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_one__mod__nat__number__of,axiom,
% 206.97/207.82 ! [V_v_H] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 206.97/207.82 => 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)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 206.97/207.82 => 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))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_one__div__nat__number__of,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__eq__number__of__int__code,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_minus__numeral__code_I5_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__is__id,axiom,
% 206.97/207.82 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 206.97/207.82
% 206.97/207.82 fof(fact_times__numeral__code_I5_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_plus__numeral__code_I9_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__number__of__int__code,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_int__number__of__def,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__number__of__def,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__number__of,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_congruent2__implies__congruent,axiom,
% 206.97/207.82 ! [V_a_2,V_f_2,V_r2_2,T_e,T_d,V_r1_2,V_A_2,T_c] :
% 206.97/207.82 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r1_2)
% 206.97/207.82 => ( c_Equiv__Relations_Ocongruent2(T_c,T_d,T_e,V_r1_2,V_r2_2,V_f_2)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.82 => c_Equiv__Relations_Ocongruent(T_d,T_e,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_minus__numeral__code_I6_J,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__imp__number__of__eq__0,axiom,
% 206.97/207.82 ! [V_v] :
% 206.97/207.82 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_int__eq__iff__number__of,axiom,
% 206.97/207.82 ! [V_v_2,V_m_2] :
% 206.97/207.82 ( 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)
% 206.97/207.82 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 206.97/207.82 & 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))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__nat__number__of,axiom,
% 206.97/207.82 ! [V_v_H_2,V_v_2] :
% 206.97/207.82 ( 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)
% 206.97/207.82 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 206.97/207.82 => 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))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 206.97/207.82 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 206.97/207.82 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 206.97/207.82 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__number__of__add__left,axiom,
% 206.97/207.82 ! [V_k,V_v_H,V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 206.97/207.82 => 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) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_int__nat__number__of,axiom,
% 206.97/207.82 ! [V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mod__nat__number__of,axiom,
% 206.97/207.82 ! [V_v_H,V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 206.97/207.82 => 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))) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_congruent2__implies__congruent__UN,axiom,
% 206.97/207.82 ! [V_a_2,V_f_2,T_e,V_r2_2,V_A2_2,T_d,V_r1_2,V_A1_2,T_c] :
% 206.97/207.82 ( c_Equiv__Relations_Oequiv(T_c,V_A1_2,V_r1_2)
% 206.97/207.82 => ( c_Equiv__Relations_Oequiv(T_d,V_A2_2,V_r2_2)
% 206.97/207.82 => ( c_Equiv__Relations_Ocongruent2(T_c,T_d,tc_fun(T_e,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_a_2),V_A2_2))
% 206.97/207.82 => c_Equiv__Relations_Ocongruent(T_c,tc_fun(T_e,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool)),tc_fun(T_e,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_e,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_d,T_d,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_div__nat__number__of,axiom,
% 206.97/207.82 ! [V_v_H,V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__nat__number__of,axiom,
% 206.97/207.82 ! [V_n,V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__nat__number__of__number__of,axiom,
% 206.97/207.82 ! [V_w,V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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)) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__nat__number__of__add,axiom,
% 206.97/207.82 ! [V_n,V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__nat__number__of,axiom,
% 206.97/207.82 ! [V_v_2,V_v_H_2] :
% 206.97/207.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_min__Suc__number__of,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_min__number__of__Suc,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I19_J,axiom,
% 206.97/207.82 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I1_J,axiom,
% 206.97/207.82 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 206.97/207.82
% 206.97/207.82 fof(fact_minus__Pls,axiom,
% 206.97/207.82 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Pls__right,axiom,
% 206.97/207.82 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Pls,axiom,
% 206.97/207.82 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__Pls,axiom,
% 206.97/207.82 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 206.97/207.82
% 206.97/207.82 fof(fact_succ__pred,axiom,
% 206.97/207.82 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I2_J,axiom,
% 206.97/207.82 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Pls__def,axiom,
% 206.97/207.82 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_semiring__norm_I112_J,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__Pls,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__numeral__0,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__numeral__0__right,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_bin__less__0__simps_I1_J,axiom,
% 206.97/207.82 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_semiring__norm_I113_J,axiom,
% 206.97/207.82 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__number__of__Pls,axiom,
% 206.97/207.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zero__is__num__zero,axiom,
% 206.97/207.82 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__diff__number__of,axiom,
% 206.97/207.82 ! [V_m,V_v] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_not__neg__number__of__Pls,axiom,
% 206.97/207.82 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__number__of__add__1,axiom,
% 206.97/207.82 ! [V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__1__add__number__of,axiom,
% 206.97/207.82 ! [V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__iff__pred__less,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_pred__def,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__number__of__diff__1,axiom,
% 206.97/207.82 ! [V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__Numeral0,axiom,
% 206.97/207.82 ! [V_x,T_a] :
% 206.97/207.82 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.82 & class_Int_Onumber__ring(T_a) )
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__number__of__0,axiom,
% 206.97/207.82 ! [V_v_2] :
% 206.97/207.82 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__0__number__of,axiom,
% 206.97/207.82 ! [V_v_2] :
% 206.97/207.82 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of2,axiom,
% 206.97/207.82 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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__nat__number__of,axiom,
% 206.97/207.82 ! [V_v_H_2,V_v_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 206.97/207.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__nat__number__of,axiom,
% 206.97/207.82 ! [V_v_H_2,V_v_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_succ__def,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__special_I1_J,axiom,
% 206.97/207.82 ! [V_y_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__special_I3_J,axiom,
% 206.97/207.82 ! [V_x_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__special_I3_J,axiom,
% 206.97/207.82 ! [V_x_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2)),c_Groups_Ozero__class_Ozero(T_c)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__special_I1_J,axiom,
% 206.97/207.82 ! [V_y_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__0__number__of,axiom,
% 206.97/207.82 ! [V_v_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__nat__number__of,axiom,
% 206.97/207.82 ! [V_v_H,V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 206.97/207.82 => 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)) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__succ,axiom,
% 206.97/207.82 ! [V_k,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__pred,axiom,
% 206.97/207.82 ! [V_w,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__nat__number__of,axiom,
% 206.97/207.82 ! [V_v_H,V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__number__of__mult__left,axiom,
% 206.97/207.82 ! [V_k,V_v_H,V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 206.97/207.82 => 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) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__number__of__pred__iff__0,axiom,
% 206.97/207.82 ! [V_v_2] :
% 206.97/207.82 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 206.97/207.82 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__number__of__Suc,axiom,
% 206.97/207.82 ! [V_n_2,V_v_2] :
% 206.97/207.82 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 206.97/207.82 <=> 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))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__eq__number__of,axiom,
% 206.97/207.82 ! [V_v_2,V_n_2] :
% 206.97/207.82 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 206.97/207.82 <=> 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))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__case__number__of,axiom,
% 206.97/207.82 ! [V_v_2,V_f_2,V_a_2,T_c] : c_Nat_Onat_Onat__case(T_c,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_c),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_c,T_c),hAPP(hAPP(c_COMBC(tc_Int_Oint,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)),tc_Int_Oint),c_If(T_c)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__Suc__number__of,axiom,
% 206.97/207.82 ! [V_v_2,V_n_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> 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))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__number__of__Suc,axiom,
% 206.97/207.82 ! [V_n_2,V_v_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__Suc__number__of,axiom,
% 206.97/207.82 ! [V_v_2,V_n_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> 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))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__number__of__Suc,axiom,
% 206.97/207.82 ! [V_n_2,V_v_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__nat__number__of,axiom,
% 206.97/207.82 ! [V_v] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_max__number__of__Suc,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_max__Suc__number__of,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__case__add__eq__if,axiom,
% 206.97/207.82 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_c] : c_Nat_Onat_Onat__case(T_c,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_c),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_c,T_c),hAPP(hAPP(c_COMBC(tc_Int_Oint,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)),tc_Int_Oint),c_If(T_c)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_c,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__rec__add__eq__if,axiom,
% 206.97/207.82 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_c] : hAPP(c_Nat_Onat_Onat__rec(T_c,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_c),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_c,T_c),hAPP(hAPP(c_COMBC(tc_Int_Oint,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)),tc_Int_Oint),c_If(T_c)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_c,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_c,T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_c,T_c),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_c,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_c,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))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__rec__number__of,axiom,
% 206.97/207.82 ! [V_v_2,V_f_2,V_a_2,T_c] : hAPP(c_Nat_Onat_Onat__rec(T_c,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_c),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_c,T_c),hAPP(hAPP(c_COMBC(tc_Int_Oint,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)),tc_Int_Oint),c_If(T_c)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_c,T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_c,T_c),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_c,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_UN__equiv__class__type2,axiom,
% 206.97/207.82 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_e,V_r2_2,V_A2_2,T_d,V_r1_2,V_A1_2,T_c] :
% 206.97/207.82 ( c_Equiv__Relations_Oequiv(T_c,V_A1_2,V_r1_2)
% 206.97/207.82 => ( c_Equiv__Relations_Oequiv(T_d,V_A2_2,V_r2_2)
% 206.97/207.82 => ( c_Equiv__Relations_Ocongruent2(T_c,T_d,tc_fun(T_e,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A1_2),V_r1_2)))
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_d),V_A2_2),V_r2_2)))
% 206.97/207.82 => ( ! [B_x1] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x1),V_A1_2))
% 206.97/207.82 => ! [B_x2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x2),V_A2_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_e,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_e,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_e,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool)),tc_fun(T_e,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_e,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_UN__equiv__class__type,axiom,
% 206.97/207.82 ! [V_B_2,V_X_2,V_f_2,T_d,V_r_2,V_A_2,T_c] :
% 206.97/207.82 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.82 => ( c_Equiv__Relations_Ocongruent(T_c,tc_fun(T_d,tc_HOL_Obool),V_r_2,V_f_2)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.82 => ( ! [B_x] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__rec__0,axiom,
% 206.97/207.82 ! [V_f2_2,V_f1_2,T_c] : hAPP(c_Nat_Onat_Onat__rec(T_c,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__rec__Suc,axiom,
% 206.97/207.82 ! [V_nat_2,V_f2_2,V_f1_2,T_c] : hAPP(c_Nat_Onat_Onat__rec(T_c,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_c,V_f1_2,V_f2_2),V_nat_2)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__special_I3_J,axiom,
% 206.97/207.82 ! [V_x_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2) = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 <=> c_Int_Oiszero(T_c,hAPP(c_Int_Onumber__class_Onumber__of(T_c),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)))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__special_I1_J,axiom,
% 206.97/207.82 ! [V_y_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => ( c_Groups_Ozero__class_Ozero(T_c) = hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)
% 206.97/207.82 <=> c_Int_Oiszero(T_c,hAPP(c_Int_Onumber__class_Onumber__of(T_c),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)))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__number__of__odd__number__of,axiom,
% 206.97/207.82 ! [V_v_2,V_w_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => ( ( 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)))
% 206.97/207.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),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_c,T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_c,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_c),c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_v_2)))),c_COMBI(T_c))) )
% 206.97/207.82 & ( ~ 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)))
% 206.97/207.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),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_c) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zpower__number__of__odd,axiom,
% 206.97/207.82 ! [V_z_2,V_w_2] :
% 206.97/207.82 ( ( 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)))
% 206.97/207.82 => 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))) )
% 206.97/207.82 & ( ~ 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)))
% 206.97/207.82 => 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) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_iszero__number__of__Bit1,axiom,
% 206.97/207.82 ! [V_w,T_a] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 & class_Int_Oring__char__0(T_a) )
% 206.97/207.82 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I34_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__eq__int__code_I16_J,axiom,
% 206.97/207.82 ! [V_k2_2,V_k1_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I51_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 206.97/207.82 <=> V_k_2 = V_l_2 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I17_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__int__code_I16_J,axiom,
% 206.97/207.82 ! [V_k2_2,V_k1_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I46_J,axiom,
% 206.97/207.82 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I39_J,axiom,
% 206.97/207.82 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_not__iszero__Numeral1,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_iszero__0,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.82 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_iszero__def,axiom,
% 206.97/207.82 ! [V_z_2,T_c] :
% 206.97/207.82 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.82 => ( c_Int_Oiszero(T_c,V_z_2)
% 206.97/207.82 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_not__iszero__1,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.82 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_bin__less__0__simps_I4_J,axiom,
% 206.97/207.82 ! [V_w_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I22_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I12_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Bit1__def,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__number__of__Bit1,axiom,
% 206.97/207.82 ! [V_w_2] :
% 206.97/207.82 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 206.97/207.82 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_minus__Bit1,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_succ__Pls,axiom,
% 206.97/207.82 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__Bit1,axiom,
% 206.97/207.82 ! [V_w,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__numeral__1,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__numeral__1__right,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_numeral__1__eq__1,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_semiring__norm_I110_J,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I5_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I29_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__Numeral1,axiom,
% 206.97/207.82 ! [V_x,T_a] :
% 206.97/207.82 ( ( class_Fields_Ofield(T_a)
% 206.97/207.82 & class_Int_Onumber__ring(T_a) )
% 206.97/207.82 => 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 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__numeral__1,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( ( class_Fields_Ofield(T_a)
% 206.97/207.82 & class_Int_Onumber__ring(T_a) )
% 206.97/207.82 => 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 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__special_I2_J,axiom,
% 206.97/207.82 ! [V_y_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => ( c_Groups_Oone__class_Oone(T_c) = hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)
% 206.97/207.82 <=> c_Int_Oiszero(T_c,hAPP(c_Int_Onumber__class_Onumber__of(T_c),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)))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__special_I4_J,axiom,
% 206.97/207.82 ! [V_x_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2) = c_Groups_Oone__class_Oone(T_c)
% 206.97/207.82 <=> c_Int_Oiszero(T_c,hAPP(c_Int_Onumber__class_Onumber__of(T_c),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))))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_one__is__num__one,axiom,
% 206.97/207.82 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__numeral__1__eq__1,axiom,
% 206.97/207.82 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Numeral1__eq1__nat,axiom,
% 206.97/207.82 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 206.97/207.82 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_iszero__Numeral0,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_numeral__3__eq__3,axiom,
% 206.97/207.82 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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_numeral__1__eq__Suc__0,axiom,
% 206.97/207.82 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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power3__eq__cube,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Groups_Omonoid__mult(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 206.97/207.82 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))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc3__eq__add__3,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 206.97/207.82 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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 206.97/207.82 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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__special_I2_J,axiom,
% 206.97/207.82 ! [V_y_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Oone__class_Oone(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_le__special_I4_J,axiom,
% 206.97/207.82 ! [V_x_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2)),c_Groups_Oone__class_Oone(T_c)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__special_I4_J,axiom,
% 206.97/207.82 ! [V_x_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2)),c_Groups_Oone__class_Oone(T_c)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__special_I2_J,axiom,
% 206.97/207.82 ! [V_y_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Oone__class_Oone(T_c)),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__special_I2_J,axiom,
% 206.97/207.82 ! [V_w,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__special_I3_J,axiom,
% 206.97/207.82 ! [V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 206.97/207.82 ! [V_m,V_n] :
% 206.97/207.82 ( 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))
% 206.97/207.82 => 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__div__eq__add3__div,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_div__Suc__eq__div__add3,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__number__of__eq,axiom,
% 206.97/207.82 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_y_2)
% 206.97/207.82 <=> c_Int_Oiszero(T_c,hAPP(c_Int_Onumber__class_Onumber__of(T_c),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)))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__special_I1_J,axiom,
% 206.97/207.82 ! [V_w,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__special_I2_J,axiom,
% 206.97/207.82 ! [V_v,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__number__of__Bit1,axiom,
% 206.97/207.82 ! [V_w_2] :
% 206.97/207.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 206.97/207.82 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 206.97/207.82 => 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)))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__number__of__odd,axiom,
% 206.97/207.82 ! [V_z_2,V_w_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => ( ( 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)))
% 206.97/207.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_c),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_c,T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_c,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_c),c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Groups_Otimes__class_Otimes(T_c),V_z_2))),c_COMBI(T_c))) )
% 206.97/207.82 & ( ~ 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)))
% 206.97/207.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_c),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_c) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zmod__number__of__Bit1,axiom,
% 206.97/207.82 ! [V_v,V_w] :
% 206.97/207.82 ( ( 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)))
% 206.97/207.82 => 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)) )
% 206.97/207.82 & ( ~ 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)))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__zmod__mult__2,axiom,
% 206.97/207.82 ! [V_b,V_a] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_arith__series__int,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_pos__zdiv__mult__2,axiom,
% 206.97/207.82 ! [V_b,V_a] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I49_J,axiom,
% 206.97/207.82 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I50_J,axiom,
% 206.97/207.82 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Bit0__Pls,axiom,
% 206.97/207.82 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I38_J,axiom,
% 206.97/207.82 ! [V_l_2] :
% 206.97/207.82 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 206.97/207.82 <=> c_Int_OPls = V_l_2 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I44_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 206.97/207.82 <=> V_k_2 = c_Int_OPls ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_minus__Bit0,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__int__code_I13_J,axiom,
% 206.97/207.82 ! [V_k2_2,V_k1_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I14_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Bit0__def,axiom,
% 206.97/207.82 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Bit0__Bit0,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I48_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 206.97/207.82 <=> V_k_2 = V_l_2 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__Bit0,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I7_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__eq__int__code_I13_J,axiom,
% 206.97/207.82 ! [V_k2_2,V_k1_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I31_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_bin__less__0__simps_I3_J,axiom,
% 206.97/207.82 ! [V_w_2] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I21_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I27_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I32_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__eq__int__code_I14_J,axiom,
% 206.97/207.82 ! [V_k2_2,V_k1_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I4_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I10_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I16_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__int__code_I15_J,axiom,
% 206.97/207.82 ! [V_k2_2,V_k1_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Bit0__Bit1,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Bit1__Bit0,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I3_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I10_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I9_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zdiv__number__of__Bit0,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__number__of__Bit0,axiom,
% 206.97/207.82 ! [V_w_2] :
% 206.97/207.82 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 206.97/207.82 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_pred__Bit1,axiom,
% 206.97/207.82 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_pred__Bit0,axiom,
% 206.97/207.82 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_iszero__number__of__Bit0,axiom,
% 206.97/207.82 ! [V_w_2,T_c] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 & class_Int_Oring__char__0(T_c) )
% 206.97/207.82 => ( c_Int_Oiszero(T_c,hAPP(c_Int_Onumber__class_Onumber__of(T_c),c_Int_OBit0(V_w_2)))
% 206.97/207.82 <=> c_Int_Oiszero(T_c,hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_succ__Bit0,axiom,
% 206.97/207.82 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_succ__Bit1,axiom,
% 206.97/207.82 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__number__of__Bit0,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__Bit0,axiom,
% 206.97/207.82 ! [V_w,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__eq__int__code_I15_J,axiom,
% 206.97/207.82 ! [V_k2_2,V_k1_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I33_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__int__code_I14_J,axiom,
% 206.97/207.82 ! [V_k2_2,V_k1_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I15_J,axiom,
% 206.97/207.82 ! [V_l_2,V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_card__UNIV__bool,axiom,
% 206.97/207.82 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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__Bit1,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I8_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Bit1__Bit1,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__number__of__even,axiom,
% 206.97/207.82 ! [V_w_2,V_z_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_c),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_c,T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_c,T_c,T_c),c_Groups_Otimes__class_Otimes(T_c)),c_COMBI(T_c))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zpower__number__of__even,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_double__number__of__Bit0,axiom,
% 206.97/207.82 ! [V_w,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of1,axiom,
% 206.97/207.82 ! [V_n] :
% 206.97/207.82 ( 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)))
% 206.97/207.82 => ( 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))))
% 206.97/207.82 & 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)))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 206.97/207.82 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__number__of__even__number__of,axiom,
% 206.97/207.82 ! [V_w_2,V_v_2,T_c] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_c)
% 206.97/207.82 => hAPP(hAPP(c_Power_Opower__class_Opower(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),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_c,T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_c,T_c,T_c),c_Groups_Otimes__class_Otimes(T_c)),c_COMBI(T_c))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__2,axiom,
% 206.97/207.82 ! [V_z,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__2__right,axiom,
% 206.97/207.82 ! [V_z,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_one__add__one__is__two,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zero__eq__power2,axiom,
% 206.97/207.82 ! [V_a_2,T_c] :
% 206.97/207.82 ( class_Rings_Oring__1__no__zero__divisors(T_c)
% 206.97/207.82 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_c),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_c)
% 206.97/207.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zero__power2,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_semiring__norm_I115_J,axiom,
% 206.97/207.82 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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_numeral__2__eq__2,axiom,
% 206.97/207.82 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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 206.97/207.82 ! [V_x,T_a] :
% 206.97/207.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.82 => 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__eq__square,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Groups_Omonoid__mult(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 206.97/207.82 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))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__2__eq__Suc,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__2__eq__Suc_H,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_one__power2,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__minus,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Rings_Oring__1(T_a)
% 206.97/207.82 => 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__mult__2,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__mult__2__right,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__even__eq,axiom,
% 206.97/207.82 ! [V_n,V_a,T_a] :
% 206.97/207.82 ( class_Groups_Omonoid__mult(T_a)
% 206.97/207.82 => 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 206.97/207.82 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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 206.97/207.82 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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_abs__power2,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.82 => 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__abs,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.82 => 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__1__add__1,axiom,
% 206.97/207.82 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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mod2__Suc__Suc,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_div2__Suc__Suc,axiom,
% 206.97/207.82 ! [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))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zmod__number__of__Bit0,axiom,
% 206.97/207.82 ! [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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__self__div__2,axiom,
% 206.97/207.82 ! [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 ).
% 206.97/207.82
% 206.97/207.82 fof(fact_half__gt__zero__iff,axiom,
% 206.97/207.82 ! [V_r_2,T_c] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_c)
% 206.97/207.82 & class_Int_Onumber__ring(T_c) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_c),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_r_2)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_half__gt__zero,axiom,
% 206.97/207.82 ! [V_r,T_a] :
% 206.97/207.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 206.97/207.82 & class_Int_Onumber__ring(T_a) )
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 206.97/207.82 => 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)))))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zero__le__power2,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.82 => 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)))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__le__imp__le,axiom,
% 206.97/207.82 ! [V_y,V_x,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.82 => ( 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))))))
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__eq__imp__eq,axiom,
% 206.97/207.82 ! [V_y,V_x,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.82 => ( 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))))
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.82 => V_x = V_y ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zero__less__power2,axiom,
% 206.97/207.82 ! [V_a_2,T_c] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 206.97/207.82 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__less__0,axiom,
% 206.97/207.82 ! [V_a,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.82 => ~ 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_sum__power2__eq__zero__iff,axiom,
% 206.97/207.82 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.82 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),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_c),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_c)
% 206.97/207.82 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 & V_y_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__eq__square__number__of,axiom,
% 206.97/207.82 ! [V_w,T_b] :
% 206.97/207.82 ( ( class_Groups_Omonoid__mult(T_b)
% 206.97/207.82 & class_Int_Onumber(T_b) )
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_less__2__cases,axiom,
% 206.97/207.82 ! [V_n] :
% 206.97/207.82 ( 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)))))
% 206.97/207.82 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.82 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__2,axiom,
% 206.97/207.82 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))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__eq__1__iff,axiom,
% 206.97/207.82 ! [V_a_2,T_c] :
% 206.97/207.82 ( class_Rings_Oring__1__no__zero__divisors(T_c)
% 206.97/207.82 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_c),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_c)
% 206.97/207.82 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_c)
% 206.97/207.82 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),c_Groups_Oone__class_Oone(T_c)) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 206.97/207.82 ! [V_n,V_x,T_a] :
% 206.97/207.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__minus__even,axiom,
% 206.97/207.82 ! [V_n,V_a,T_a] :
% 206.97/207.82 ( class_Rings_Oring__1(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__less__imp__less,axiom,
% 206.97/207.82 ! [V_y,V_x,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__semidom(T_a)
% 206.97/207.82 => ( 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))))))
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_sum__power2__ge__zero,axiom,
% 206.97/207.82 ! [V_y,V_x,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.82 => 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_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))))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_sum__power2__le__zero__iff,axiom,
% 206.97/207.82 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),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_c),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_c)))
% 206.97/207.82 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 & V_y_2 = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_sum__power2__gt__zero__iff,axiom,
% 206.97/207.82 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_c)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),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_c),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 206.97/207.82 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.82 | V_y_2 != c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_not__sum__power2__lt__zero,axiom,
% 206.97/207.82 ! [V_y,V_x,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.82 => ~ 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__sum,axiom,
% 206.97/207.82 ! [V_y,V_x,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zero__le__even__power_H,axiom,
% 206.97/207.82 ! [V_n,V_a,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.82 => 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)))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__odd__eq,axiom,
% 206.97/207.82 ! [V_n,V_a,T_a] :
% 206.97/207.82 ( class_Groups_Omonoid__mult(T_a)
% 206.97/207.82 => 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))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 206.97/207.82 ! [V_n,V_x,T_a] :
% 206.97/207.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__minus1__even,axiom,
% 206.97/207.82 ! [V_n,T_a] :
% 206.97/207.82 ( class_Rings_Oring__1(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zdiv__number__of__Bit1,axiom,
% 206.97/207.82 ! [V_v,V_w] :
% 206.97/207.82 ( ( 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)))
% 206.97/207.82 => 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)) )
% 206.97/207.82 & ( ~ 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)))
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mod2__gr__0,axiom,
% 206.97/207.82 ! [V_m_2] :
% 206.97/207.82 ( 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))))))
% 206.97/207.82 <=> 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_div__2__gt__zero,axiom,
% 206.97/207.82 ! [V_n] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 206.97/207.82 => 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)))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power2__diff,axiom,
% 206.97/207.82 ! [V_y,V_x,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 206.97/207.82 ! [V_n,V_a,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.82 => ( 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)))))
% 206.97/207.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_odd__power__less__zero,axiom,
% 206.97/207.82 ! [V_n,V_a,T_a] :
% 206.97/207.82 ( class_Rings_Olinordered__idom(T_a)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 206.97/207.82 => 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))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__minus1__odd,axiom,
% 206.97/207.82 ! [V_n,T_a] :
% 206.97/207.82 ( class_Rings_Oring__1(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 206.97/207.82 ! [V_n] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.82 => 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)))))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_of__nat__double,axiom,
% 206.97/207.82 ! [V_x,T_a] :
% 206.97/207.82 ( class_Rings_Osemiring__1(T_a)
% 206.97/207.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 206.97/207.82 => 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))) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_pos__zmod__mult__2,axiom,
% 206.97/207.82 ! [V_b,V_a] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.82 => 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))) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__zdiv__mult__2,axiom,
% 206.97/207.82 ! [V_b,V_a] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_int__of__code,axiom,
% 206.97/207.82 ! [V_k] :
% 206.97/207.82 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.82 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 206.97/207.82 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.82 => ( ( 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)
% 206.97/207.82 => 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)))))) )
% 206.97/207.82 & ( 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)
% 206.97/207.82 => 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)) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_of__int__num,axiom,
% 206.97/207.82 ! [V_k_2,T_c] :
% 206.97/207.82 ( class_Rings_Oring__1(T_c)
% 206.97/207.82 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.82 => hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_k_2) = c_Groups_Ozero__class_Ozero(T_c) )
% 206.97/207.82 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.82 => hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_c),hAPP(c_Int_Oring__1__class_Oof__int(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 206.97/207.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.82 => hAPP(c_Int_Oring__1__class_Oof__int(T_c),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_c),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_c,T_c)),tc_fun(tc_Int_Oint,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_c),T_c),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_c,T_c)),tc_fun(tc_Int_Oint,T_c)),tc_Int_Oint),c_COMBB(tc_fun(T_c,T_c),T_c,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,T_c),T_c),tc_Int_Oint),c_HOL_OLet(T_c,T_c)),c_Int_Oring__1__class_Oof__int(T_c)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_c,T_c),tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,T_c)),tc_Int_Oint),c_COMBS(T_c,T_c,T_c)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_c,T_c),tc_fun(T_c,tc_fun(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_c,T_c)),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_fun(T_c,T_c))),tc_Int_Oint),c_COMBB(T_c,tc_fun(T_c,T_c),T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),tc_Int_Oint),c_If(T_c)),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_c,T_c,T_c),c_Groups_Oplus__class_Oplus(T_c)),c_COMBI(T_c))))),hAPP(hAPP(c_COMBC(T_c,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_c),c_Groups_Oplus__class_Oplus(T_c)),hAPP(hAPP(c_COMBS(T_c,T_c,T_c),c_Groups_Oplus__class_Oplus(T_c)),c_COMBI(T_c)))),c_Groups_Oone__class_Oone(T_c))))),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))))) ) ) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__m1__odd,axiom,
% 206.97/207.82 ! [V_n,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I45_J,axiom,
% 206.97/207.82 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I42_J,axiom,
% 206.97/207.82 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I24_J,axiom,
% 206.97/207.82 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_code__numeral__zero__minus__one,axiom,
% 206.97/207.82 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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I7_J,axiom,
% 206.97/207.82 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I37_J,axiom,
% 206.97/207.82 c_Int_OPls != c_Int_OMin ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I40_J,axiom,
% 206.97/207.82 c_Int_OMin != c_Int_OPls ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I47_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 206.97/207.82 <=> V_k_2 = c_Int_OMin ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I43_J,axiom,
% 206.97/207.82 ! [V_l_2] :
% 206.97/207.82 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 206.97/207.82 <=> c_Int_OMin = V_l_2 ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Bit1__Min,axiom,
% 206.97/207.82 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 206.97/207.82
% 206.97/207.82 fof(fact_bin__less__0__simps_I2_J,axiom,
% 206.97/207.82 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I20_J,axiom,
% 206.97/207.82 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I23_J,axiom,
% 206.97/207.82 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I30_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I26_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I3_J,axiom,
% 206.97/207.82 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I6_J,axiom,
% 206.97/207.82 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I13_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I9_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I28_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I8_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_eq__number__of__Pls__Min,axiom,
% 206.97/207.82 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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Int_OMin__def,axiom,
% 206.97/207.82 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__Min,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_neg__number__of__Min,axiom,
% 206.97/207.82 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_pred__Pls,axiom,
% 206.97/207.82 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Min__right,axiom,
% 206.97/207.82 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_add__Min,axiom,
% 206.97/207.82 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_pred__Min,axiom,
% 206.97/207.82 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nonzero__number__of__Min,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_succ__Min,axiom,
% 206.97/207.82 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I2_J,axiom,
% 206.97/207.82 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__minus1__right,axiom,
% 206.97/207.82 ! [V_z,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_mult__minus1,axiom,
% 206.97/207.82 ! [V_z,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_arith__simps_I31_J,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_number__of__Min,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_abs__minus__one,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_a) )
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divide__minus1,axiom,
% 206.97/207.82 ! [V_x,T_a] :
% 206.97/207.82 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.82 & class_Int_Onumber__ring(T_a) )
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I25_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_rel__simps_I11_J,axiom,
% 206.97/207.82 ! [V_k_2] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 206.97/207.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zmod__minus1__right,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I4_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_minus__Min,axiom,
% 206.97/207.82 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zmult__eq__1__iff,axiom,
% 206.97/207.82 ! [V_n_2,V_m_2] :
% 206.97/207.82 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 206.97/207.82 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 206.97/207.82 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 206.97/207.82 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 206.97/207.82 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 206.97/207.82 ! [V_n,V_m] :
% 206.97/207.82 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 206.97/207.82 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 206.97/207.82 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I6_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_diff__bin__simps_I5_J,axiom,
% 206.97/207.82 ! [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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_of__int__m1,axiom,
% 206.97/207.82 ! [T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zdiv__minus1__right,axiom,
% 206.97/207.82 ! [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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zero__code__numeral__code,axiom,
% 206.97/207.82 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) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_minus1__divide,axiom,
% 206.97/207.82 ! [V_x,T_a] :
% 206.97/207.82 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 206.97/207.82 & class_Int_Onumber__ring(T_a) )
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_abs__power__minus__one,axiom,
% 206.97/207.82 ! [V_n,T_a] :
% 206.97/207.82 ( ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 & class_Rings_Olinordered__idom(T_a) )
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_div__eq__minus1,axiom,
% 206.97/207.82 ! [V_b] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_div__pos__neg__trivial,axiom,
% 206.97/207.82 ! [V_b,V_a] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.82 => ( 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)))
% 206.97/207.82 => 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) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_zmod__minus1,axiom,
% 206.97/207.82 ! [V_b] :
% 206.97/207.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.82 => 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)) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_one__code__numeral__code,axiom,
% 206.97/207.82 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)) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_power__m1__even,axiom,
% 206.97/207.82 ! [V_n,T_a] :
% 206.97/207.82 ( class_Int_Onumber__ring(T_a)
% 206.97/207.82 => 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) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Nitpick_OFrac__def,axiom,
% 206.97/207.82 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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_int__ge__less__than__def,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_int__ge__less__than2__def,axiom,
% 206.97/207.82 ! [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)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_inj__graph,axiom,
% 206.97/207.82 ! [T_d,T_c] : c_Fun_Oinj__on(tc_fun(T_c,T_d),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,T_d)),c_Set_OCollect(tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,T_d)),c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool)),hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBC(T_d,T_d,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_c,T_d),tc_HOL_Obool))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_Nitpick_Oprod__def,axiom,
% 206.97/207.82 ! [V_B_2,V_A_2,T_d,T_c] : c_Nitpick_Oprod(T_c,T_d,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(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_c),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_d)),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(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_B_2)))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_nat__of__aux__code,axiom,
% 206.97/207.82 ! [V_n,V_i] :
% 206.97/207.82 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.82 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 206.97/207.82 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.82 => 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)) ) ) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divmod__int__rel__def,axiom,
% 206.97/207.82 ! [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))))))) ).
% 206.97/207.82
% 206.97/207.82 fof(fact_divmod__int__correct,axiom,
% 206.97/207.82 ! [V_a,V_b] :
% 206.97/207.82 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_zmult2__lemma,axiom,
% 206.97/207.83 ! [V_c,V_r,V_q,V_b,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 206.97/207.83 => 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)))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_code__numeral_Osize_I1_J,axiom,
% 206.97/207.83 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) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nats__number__of,axiom,
% 206.97/207.83 ! [V_w_2,T_c] :
% 206.97/207.83 ( class_Int_Onumber__ring(T_c)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Int_Onumber__class_Onumber__of(T_c),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_c))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_sup__Un__eq2,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),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_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))
% 206.97/207.83 <=> 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_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pred__subset__eq2,axiom,
% 206.97/207.83 ! [V_S_2,V_R_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),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_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)))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_bot__empty__eq2,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_x_2),V_y_2))
% 206.97/207.83 <=> 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)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pred__equals__eq2,axiom,
% 206.97/207.83 ! [V_S_2,V_R_2,T_d,T_c] :
% 206.97/207.83 ( 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_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)
% 206.97/207.83 <=> V_R_2 = V_S_2 ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inf__Int__eq2,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),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_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))
% 206.97/207.83 <=> 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_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_congruentD,axiom,
% 206.97/207.83 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_d,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Ocongruent(T_c,T_d,V_r_2,V_f_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_z_2)),V_r_2))
% 206.97/207.83 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_congruent2D,axiom,
% 206.97/207.83 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_e,T_d,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Ocongruent2(T_c,T_d,T_e,V_r1_2,V_r2_2,V_f_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y1_2),V_z1_2)),V_r1_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_d),V_y2_2),V_z2_2)),V_r2_2))
% 206.97/207.83 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Image__iff,axiom,
% 206.97/207.83 ! [V_A_2,V_r_2,T_d,V_b_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_d,T_c,V_r_2),V_A_2)))
% 206.97/207.83 <=> ? [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_x),V_b_2)),V_r_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rev__ImageI,axiom,
% 206.97/207.83 ! [V_r_2,V_b_2,T_d,V_A_2,V_a_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(c_Relation_OImage(T_c,T_d,V_r_2),V_A_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_unique__remainder,axiom,
% 206.97/207.83 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( 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)))
% 206.97/207.83 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => V_r = V_r_H ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_unique__quotient,axiom,
% 206.97/207.83 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( 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)))
% 206.97/207.83 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => V_q = V_q_H ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_self__remainder,axiom,
% 206.97/207.83 ! [V_r,V_q,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__rel__0,axiom,
% 206.97/207.83 ! [V_b] :
% 206.97/207.83 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_INF__INT__eq2,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_r_2,T_e,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool)),T_c),hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),T_d),c_COMBC(T_e,tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool)),T_d),hAPP(c_COMBB(tc_prod(T_d,T_e),tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool),T_e),c_member(tc_prod(T_d,T_e)))),c_Product__Type_OPair(T_d,T_e))))),V_r_2)),V_x_2),V_y_2))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_SUP__UN__eq2,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_r_2,T_e,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool)),T_c),hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),T_d),c_COMBC(T_e,tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool)),T_d),hAPP(c_COMBB(tc_prod(T_d,T_e),tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool),T_e),c_member(tc_prod(T_d,T_e)))),c_Product__Type_OPair(T_d,T_e))))),V_r_2)),V_x_2),V_y_2))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_self__quotient,axiom,
% 206.97/207.83 ! [V_r,V_q,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__rel__mod,axiom,
% 206.97/207.83 ! [V_r,V_q,V_b,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__rel__div,axiom,
% 206.97/207.83 ! [V_r,V_q,V_b,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nats__0,axiom,
% 206.97/207.83 ! [T_c] :
% 206.97/207.83 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),c_Groups_Ozero__class_Ozero(T_c)),c_Nat_Osemiring__1__class_ONats(T_c))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__mod__div,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nats__add,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.83 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Nat_Osemiring__1__class_ONats(T_c)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),c_Nat_Osemiring__1__class_ONats(T_c)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_c))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nats__mult,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.83 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Nat_Osemiring__1__class_ONats(T_c)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),c_Nat_Osemiring__1__class_ONats(T_c)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_c))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nats__1,axiom,
% 206.97/207.83 ! [T_c] :
% 206.97/207.83 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),c_Groups_Oone__class_Oone(T_c)),c_Nat_Osemiring__1__class_ONats(T_c))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_of__nat__in__Nats,axiom,
% 206.97/207.83 ! [V_n_2,T_c] :
% 206.97/207.83 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_c))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Image__singleton__iff,axiom,
% 206.97/207.83 ! [V_a_2,V_r_2,T_d,V_b_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_d,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))))))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_a_2),V_b_2)),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equiv__class__eq,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.83 => hAPP(c_Relation_OImage(T_c,T_c,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_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_quotient__eqI,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_X_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_Y_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2))
% 206.97/207.83 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_quotient__eq__iff,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_X_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_Y_2))
% 206.97/207.83 => ( V_X_2 = V_Y_2
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__rel__div__mod,axiom,
% 206.97/207.83 ! [V_a,V_b] :
% 206.97/207.83 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Image__singleton,axiom,
% 206.97/207.83 ! [V_a_2,V_r_2,T_c,T_d] : hAPP(c_Relation_OImage(T_d,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_d),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),hAPP(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_c),c_member(tc_prod(T_d,T_c))),hAPP(c_Product__Type_OPair(T_d,T_c),V_a_2))),V_r_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_eq__equiv__class,axiom,
% 206.97/207.83 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_c] :
% 206.97/207.83 ( hAPP(c_Relation_OImage(T_c,T_c,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_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.97/207.83 => ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_eq__equiv__class__iff,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 206.97/207.83 => ( hAPP(c_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equiv__class__eq__iff,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2))
% 206.97/207.83 <=> ( hAPP(c_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equiv__class__subset,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,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_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_eq__equiv__class__iff2,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 206.97/207.83 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),V_r_2)
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_zadd1__lemma,axiom,
% 206.97/207.83 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( 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)))
% 206.97/207.83 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_zminus1__lemma,axiom,
% 206.97/207.83 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => 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))))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_subset__equiv__class,axiom,
% 206.97/207.83 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_c,T_c,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))))))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equiv__class__nondisjoint,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,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_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__relI,axiom,
% 206.97/207.83 ! [V_r,V_q,V_b,V_a] :
% 206.97/207.83 ( 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)
% 206.97/207.83 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 206.97/207.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 206.97/207.83 => 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))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_zmult1__lemma,axiom,
% 206.97/207.83 ! [V_a,V_r,V_q,V_c,V_b] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pair__imageI,axiom,
% 206.97/207.83 ! [V_f_2,T_e,V_A_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_e),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_c,T_d),T_e,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),V_f_2)),V_A_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_norm__frac_Osimps,axiom,
% 206.97/207.83 ! [V_a_2,V_b_2] :
% 206.97/207.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 206.97/207.83 => 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))) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_adjust__eq,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_sup2CI,axiom,
% 206.97/207.83 ! [T_d,T_c,V_A_2,V_y_2,V_x_2,V_B_2] :
% 206.97/207.83 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_sup2E,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 206.97/207.83 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inf2E,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 206.97/207.83 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inf2I,axiom,
% 206.97/207.83 ! [T_d,T_c,V_B_2,V_y_2,V_x_2,V_A_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mem__splitI,axiom,
% 206.97/207.83 ! [T_e,T_d,V_b_2,V_a_2,V_c_2,V_z_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(T_c,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_splitI,axiom,
% 206.97/207.83 ! [T_d,T_c,V_b_2,V_a_2,V_f_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_prod__caseI,axiom,
% 206.97/207.83 ! [T_d,T_c,V_b_2,V_a_2,V_f1_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_bot2E,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,T_d,T_c] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_splitD_H,axiom,
% 206.97/207.83 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_e,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_e,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),V_c_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_swap__inj__on,axiom,
% 206.97/207.83 ! [V_A_2,T_d,T_c] : c_Fun_Oinj__on(tc_prod(T_c,T_d),tc_prod(T_d,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,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_A_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_sup2I2,axiom,
% 206.97/207.83 ! [V_A_2,T_d,T_c,V_y_2,V_x_2,V_B_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_sup2I1,axiom,
% 206.97/207.83 ! [V_B_2,T_d,T_c,V_y_2,V_x_2,V_A_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rev__predicate2D,axiom,
% 206.97/207.83 ! [V_Qa_2,T_d,T_c,V_y_2,V_x_2,V_Pa_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_predicate2D,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inf2D2,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inf2D1,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Pair__inject,axiom,
% 206.97/207.83 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 206.97/207.83 ( 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)
% 206.97/207.83 => ~ ( V_a = V_a_H
% 206.97/207.83 => V_b != V_b_H ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Pair__eq,axiom,
% 206.97/207.83 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_H_2),V_b_H_2)
% 206.97/207.83 <=> ( V_a_2 = V_a_H_2
% 206.97/207.83 & V_b_2 = V_b_H_2 ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__paired__All,axiom,
% 206.97/207.83 ! [T_d,T_c,V_Pa_2] :
% 206.97/207.83 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 206.97/207.83 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_a),B_b))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__weak__cong,axiom,
% 206.97/207.83 ! [V_c_2,T_e,T_d,T_c,V_q_2,V_p_2] :
% 206.97/207.83 ( V_p_2 = V_q_2
% 206.97/207.83 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),V_c_2),V_q_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__twice,axiom,
% 206.97/207.83 ! [V_p_2,V_g_2,T_g,T_f,V_f_2,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_f,T_g,tc_prod(T_d,T_e)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_f,T_g,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(T_g,T_c),T_f),hAPP(c_COMBB(tc_prod(T_d,T_e),T_c,T_g),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),V_f_2))),V_g_2)),V_p_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__conv,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,V_f_2,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_prod_Osimps_I2_J,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,V_f1_2,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_splitD,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,V_f_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__eta,axiom,
% 206.97/207.83 ! [V_f_2,T_e,T_d,T_c] : hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_e),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_e,T_d),V_f_2)),c_Product__Type_OPair(T_c,T_d))) = V_f_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_The__split__eq,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,T_d,T_c] : c_HOL_OThe(tc_prod(T_c,T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(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_c),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__paired__The,axiom,
% 206.97/207.83 ! [V_Pa_2,T_d,T_c] : c_HOL_OThe(tc_prod(T_c,T_d),V_Pa_2) = c_HOL_OThe(tc_prod(T_c,T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_HOL_Obool,T_d),V_Pa_2)),c_Product__Type_OPair(T_c,T_d)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_adjust__def,axiom,
% 206.97/207.83 ! [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))))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_in__rel__def,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_R_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_c,T_d,V_R_2),V_x_2),V_y_2))
% 206.97/207.83 <=> 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)),V_R_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__mod__code__numeral__def,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 206.97/207.83 ! [V_w] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( 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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 206.97/207.83 => 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))) )
% 206.97/207.83 & ( ~ 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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 206.97/207.83 => 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)))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negDivAlg__correct,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negDivAlg__div__mod,axiom,
% 206.97/207.83 ! [V_l,V_k] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negDivAlg__minus1,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negDivAlg_Osimps,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( ( ( 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_a),V_b)))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( ~ ( 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_a),V_b)))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negDivAlg__eqn,axiom,
% 206.97/207.83 ! [V_a,V_b] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => ( ( 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_a),V_b)))
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( ~ 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_a),V_b)))
% 206.97/207.83 => 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))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negDivAlg__eqn__number__of,axiom,
% 206.97/207.83 ! [V_w,V_v] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( 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(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 206.97/207.83 => 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))) )
% 206.97/207.83 & ( ~ 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(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 206.97/207.83 => 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)))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nitpick_Orefl_H__def,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Nitpick_Orefl_H(T_c,V_r_2)
% 206.97/207.83 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x)),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 206.97/207.83 ! [V_w] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( 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)))
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( ~ 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)))
% 206.97/207.83 => 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)))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_posDivAlg_Osimps,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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) )
% 206.97/207.83 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_posDivAlg__0,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_posDivAlg__correct,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_posDivAlg__div__mod,axiom,
% 206.97/207.83 ! [V_l,V_k] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_posDivAlg__eqn__number__of,axiom,
% 206.97/207.83 ! [V_w,V_v] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( 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)))
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( ~ 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)))
% 206.97/207.83 => 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)))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_posDivAlg__eqn,axiom,
% 206.97/207.83 ! [V_a,V_b] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 206.97/207.83 => 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) )
% 206.97/207.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 206.97/207.83 => 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))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__def,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 206.97/207.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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))) ) ) ) ) )
% 206.97/207.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 206.97/207.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => 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))) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__step,axiom,
% 206.97/207.83 ! [V_m,V_n] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__pdivmod,axiom,
% 206.97/207.83 ! [V_l_2,V_k_2] :
% 206.97/207.83 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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) )
% 206.97/207.83 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)))) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negateSnd__def,axiom,
% 206.97/207.83 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apsnd__conv,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_f_2,T_c,T_d,T_e] : hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_e),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__zero,axiom,
% 206.97/207.83 ! [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) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__base,axiom,
% 206.97/207.83 ! [V_n,V_m] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 206.97/207.83 => 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) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negateSnd__eq,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__div__mod,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__rel__neg,axiom,
% 206.97/207.83 ! [V_qr,V_b,V_a] :
% 206.97/207.83 ( 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))
% 206.97/207.83 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__if,axiom,
% 206.97/207.83 ! [V_m_2,V_n_2] :
% 206.97/207.83 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 206.97/207.83 => 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) )
% 206.97/207.83 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pdivmod__def,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pdivmod__posDivAlg,axiom,
% 206.97/207.83 ! [V_k,V_l] :
% 206.97/207.83 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__int__code,axiom,
% 206.97/207.83 ! [V_l_2,V_k_2] :
% 206.97/207.83 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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) )
% 206.97/207.83 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 => 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)))) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_UN__equiv__class__inject,axiom,
% 206.97/207.83 ! [V_Y_2,V_X_2,V_f_2,T_d,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( c_Equiv__Relations_Ocongruent(T_c,tc_fun(T_d,tc_HOL_Obool),V_r_2,V_f_2)
% 206.97/207.83 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_Y_2),V_f_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.83 => ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => ! [B_y] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),V_A_2))
% 206.97/207.83 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_y)),V_r_2)) ) ) )
% 206.97/207.83 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 206.97/207.83 ! [V_a,V_r,V_q,V_c,V_b] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 206.97/207.83 => 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)))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 206.97/207.83 ! [V_c,V_r,V_q,V_b,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 206.97/207.83 => 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)))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__rel__unique,axiom,
% 206.97/207.83 ! [V_qr_H,V_qr,V_n,V_m] :
% 206.97/207.83 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 206.97/207.83 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 206.97/207.83 => V_qr = V_qr_H ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 206.97/207.83 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__eq,axiom,
% 206.97/207.83 ! [V_qr,V_n,V_m] :
% 206.97/207.83 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 206.97/207.83 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__def,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mod__eq,axiom,
% 206.97/207.83 ! [V_r,V_q,V_n,V_m] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__eq,axiom,
% 206.97/207.83 ! [V_r,V_q,V_n,V_m] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__rel,axiom,
% 206.97/207.83 ! [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)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 206.97/207.83 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( 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)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 206.97/207.83 => 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)))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negDivAlg_Opsimps,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( ( 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_a_2),V_b_2)))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( ~ ( 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_a_2),V_b_2)))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_posDivAlg_Opsimps,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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) )
% 206.97/207.83 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mod__pos__neg__1__number__of,axiom,
% 206.97/207.83 ! [V_w] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => 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))))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apsnd__eq__conv,axiom,
% 206.97/207.83 ! [V_g_2,V_x_2,V_f_2,T_c,T_d,T_e] :
% 206.97/207.83 ( hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_c,V_g_2),V_x_2)
% 206.97/207.83 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_e),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_e),V_x_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_snd__apsnd,axiom,
% 206.97/207.83 ! [V_x_2,V_f_2,T_e,T_c,T_d] : hAPP(c_Product__Type_Osnd(T_d,T_c),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_snd__def,axiom,
% 206.97/207.83 ! [V_p_2,T_c,T_d] : hAPP(c_Product__Type_Osnd(T_d,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,T_c),hAPP(c_COMBK(tc_fun(T_c,T_c),T_d),c_COMBI(T_c))),V_p_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_snd__conv,axiom,
% 206.97/207.83 ! [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 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_snd__eqD,axiom,
% 206.97/207.83 ! [V_a,V_y,V_x,T_a,T_b] :
% 206.97/207.83 ( 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
% 206.97/207.83 => V_y = V_a ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mod__int__def,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mod__neg__pos,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mod__pos__pos,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mod__pos__pos__1__number__of,axiom,
% 206.97/207.83 ! [V_w] :
% 206.97/207.83 ( 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_w)))
% 206.97/207.83 => 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))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mod__pos__neg,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => 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)))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mod__neg__neg,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => 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)))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_norm__frac_Opsimps,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 206.97/207.83 => 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)) )
% 206.97/207.83 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 206.97/207.83 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 206.97/207.83 => 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))) ) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_negDivAlg_Opinduct,axiom,
% 206.97/207.83 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ! [B_a,B_b] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( ~ ( 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),B_a),B_b)))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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))) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_posDivAlg_Opinduct,axiom,
% 206.97/207.83 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ! [B_a,B_b] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 206.97/207.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 206.97/207.83 => 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))) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mod__nat__def,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_accp__subset,axiom,
% 206.97/207.83 ! [V_R2_2,V_R1_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_c,V_R2_2)),c_Wellfounded_Oaccp(T_c,V_R1_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_irrefl__def,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Relation_Oirrefl(T_c,V_r_2)
% 206.97/207.83 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x)),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_norm__frac_Opinduct,axiom,
% 206.97/207.83 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ! [B_a,B_b] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => 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))) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_accp_Osimps,axiom,
% 206.97/207.83 ! [V_a_2,V_r_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_c,V_r_2),V_a_2))
% 206.97/207.83 <=> ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 206.97/207.83 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_c,V_r_2),B_x)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_accp_Oequations,axiom,
% 206.97/207.83 ! [V_a_2,V_r_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_c,V_r_2),V_a_2))
% 206.97/207.83 <=> ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 206.97/207.83 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_c,V_r_2),B_x)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_accp__downward,axiom,
% 206.97/207.83 ! [V_a_2,V_b_2,V_r_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_c,V_r_2),V_b_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 206.97/207.83 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_c,V_r_2),V_a_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_nat__gcd_Opsimps,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.83 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 206.97/207.83 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.83 => 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)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_nat_Osize_I2_J,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_in__measure,axiom,
% 206.97/207.83 ! [V_f_2,V_y_2,V_x_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_c),V_f_2)))
% 206.97/207.83 <=> 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))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_nat_Osize_I1_J,axiom,
% 206.97/207.83 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__pos__neg__1__number__of,axiom,
% 206.97/207.83 ! [V_w] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => 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))))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_nat__def,axiom,
% 206.97/207.83 ! [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)))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_nat__gcd_Opinduct,axiom,
% 206.97/207.83 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ! [B_x,B_y] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fst__apsnd,axiom,
% 206.97/207.83 ! [V_x_2,V_f_2,T_e,T_d,T_c] : hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_c,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_c,T_e),V_x_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fst__def,axiom,
% 206.97/207.83 ! [V_p_2,T_d,T_c] : hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_c),c_COMBK(T_c,T_d)),V_p_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Rep__Integ__inject,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2] :
% 206.97/207.83 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 206.97/207.83 <=> V_x_2 = V_y_2 ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fst__conv,axiom,
% 206.97/207.83 ! [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 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fst__eqD,axiom,
% 206.97/207.83 ! [V_a,V_y,V_x,T_b,T_a] :
% 206.97/207.83 ( 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
% 206.97/207.83 => V_x = V_a ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Pair__fst__snd__eq,axiom,
% 206.97/207.83 ! [T_d,T_c,V_t_2,V_s_2] :
% 206.97/207.83 ( V_s_2 = V_t_2
% 206.97/207.83 <=> ( hAPP(c_Product__Type_Ofst(T_c,T_d),V_s_2) = hAPP(c_Product__Type_Ofst(T_c,T_d),V_t_2)
% 206.97/207.83 & hAPP(c_Product__Type_Osnd(T_c,T_d),V_s_2) = hAPP(c_Product__Type_Osnd(T_c,T_d),V_t_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_prod__eqI,axiom,
% 206.97/207.83 ! [V_q,V_p,T_b,T_a] :
% 206.97/207.83 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 206.97/207.83 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 206.97/207.83 => V_p = V_q ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_surjective__pairing,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pair__collapse,axiom,
% 206.97/207.83 ! [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 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_prod__case__beta,axiom,
% 206.97/207.83 ! [V_p_2,V_f_2,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_p_2)),hAPP(c_Product__Type_Osnd(T_d,T_e),V_p_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__int__def,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__comp__eq,axiom,
% 206.97/207.83 ! [V_g_2,V_f_2,T_f,T_e,T_d,T_c] : hAPP(hAPP(c_COMBS(tc_prod(T_c,T_d),T_d,T_e),hAPP(hAPP(c_COMBB(T_f,tc_fun(T_d,T_e),tc_prod(T_c,T_d)),V_f_2),hAPP(hAPP(c_COMBB(T_c,T_f,tc_prod(T_c,T_d)),V_g_2),c_Product__Type_Ofst(T_c,T_d)))),c_Product__Type_Osnd(T_c,T_d)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),hAPP(hAPP(c_COMBB(T_f,tc_fun(T_d,T_e),T_c),V_f_2),V_g_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__beta,axiom,
% 206.97/207.83 ! [V_z_2,V_Pa_2,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_z_2)),hAPP(c_Product__Type_Osnd(T_d,T_e),V_z_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__def,axiom,
% 206.97/207.83 ! [V_p_2,V_c_2,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_p_2)),hAPP(c_Product__Type_Osnd(T_d,T_e),V_p_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_The__split,axiom,
% 206.97/207.83 ! [V_Pa_2,T_d,T_c] : c_HOL_OThe(tc_prod(T_c,T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_c,T_d),hAPP(hAPP(c_COMBS(tc_prod(T_c,T_d),T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_HOL_Obool),tc_prod(T_c,T_d)),V_Pa_2),c_Product__Type_Ofst(T_c,T_d))),c_Product__Type_Osnd(T_c,T_d))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__neg__pos,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__pos__pos,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__pos__pos__1__number__of,axiom,
% 206.97/207.83 ! [V_w] :
% 206.97/207.83 ( 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_w)))
% 206.97/207.83 => 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))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__pos__neg,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => 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)))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__neg__neg,axiom,
% 206.97/207.83 ! [V_b,V_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 206.97/207.83 => 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)))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_prod__size__simp,axiom,
% 206.97/207.83 ! [V_p_2,V_g_2,V_f_2,T_d,T_c] : c_Product__Type_Oprod_Oprod__size(T_c,T_d,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_c,T_d),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_exI__realizer,axiom,
% 206.97/207.83 ! [T_c,T_d,V_x_2,V_y_2,V_Pa_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_d,T_c),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_d,T_c),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_conjI__realizer,axiom,
% 206.97/207.83 ! [T_d,T_c,V_q_2,V_Qa_2,V_p_2,V_Pa_2] :
% 206.97/207.83 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 206.97/207.83 => ( hBOOL(hAPP(V_Qa_2,V_q_2))
% 206.97/207.83 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_p_2),V_q_2))))
% 206.97/207.83 & hBOOL(hAPP(V_Qa_2,hAPP(c_Product__Type_Osnd(T_c,T_d),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_p_2),V_q_2)))) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_div__nat__def,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_divmod__nat__rel__def,axiom,
% 206.97/207.83 ! [V_qr_2,V_n_2,V_m_2] :
% 206.97/207.83 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 206.97/207.83 <=> ( 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))
% 206.97/207.83 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.83 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.83 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 206.97/207.83 => ( 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)))
% 206.97/207.83 & 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)) ) )
% 206.97/207.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 206.97/207.83 => ( 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)))
% 206.97/207.83 & 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))) ) ) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inv__image__def,axiom,
% 206.97/207.83 ! [V_f_2,V_r_2,T_c,T_d] : hAPP(hAPP(c_Relation_Oinv__image(T_d,T_c),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_d),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_d,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBC(T_c,tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_d,T_d)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_d),tc_fun(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_d,T_d)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,T_d),tc_fun(T_c,tc_prod(T_d,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_d)),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_prod(T_d,T_d))),T_c),c_COMBB(T_d,tc_prod(T_d,T_d),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_prod(T_d,T_d)),T_c),c_Product__Type_OPair(T_d,T_d)),V_f_2))),V_f_2)))),V_r_2))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mlex__leq,axiom,
% 206.97/207.83 ! [V_R_2,T_c,V_y_2,V_x_2,V_f_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_R_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_c,V_f_2,V_R_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_code__numeral_Osize_I2_J,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_code__numeral_Oinject,axiom,
% 206.97/207.83 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 206.97/207.83 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 206.97/207.83 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 206.97/207.83 ! [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) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 206.97/207.83 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_in__inv__image,axiom,
% 206.97/207.83 ! [V_f_2,V_r_2,T_d,V_y_2,V_x_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_d,T_c),V_r_2),V_f_2)))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_d),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Suc__code__numeral__minus__one,axiom,
% 206.97/207.83 ! [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 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mlex__less,axiom,
% 206.97/207.83 ! [V_R_2,T_c,V_y_2,V_x_2,V_f_2] :
% 206.97/207.83 ( 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)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_c,V_f_2,V_R_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_code__numeral_Osize_I4_J,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rp__inv__image__def,axiom,
% 206.97/207.83 ! [T_d,T_c] : c_FunDef_Orp__inv__image(T_c,T_d) = hAPP(c_Product__Type_Oprod_Oprod__case(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(T_d,T_c),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(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_fun(tc_fun(T_d,T_c),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_d,T_c),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)),tc_fun(tc_fun(T_d,T_c),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool))))),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)),tc_fun(tc_fun(T_d,T_c),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool))),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_d,T_c),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)),tc_fun(tc_fun(T_d,T_c),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)))),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_COMBS(tc_fun(T_d,T_c),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)),tc_fun(tc_fun(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)))),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool))),tc_fun(T_d,T_c)),c_Product__Type_OPair(tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)))),c_Relation_Oinv__image(T_c,T_d))))),c_Relation_Oinv__image(T_c,T_d))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__psubset__def,axiom,
% 206.97/207.83 ! [T_c] : c_Wellfounded_Ofinite__psubset(T_c) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_COMBS(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_c)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_code__numeral_Osize_I3_J,axiom,
% 206.97/207.83 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) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_in__finite__psubset,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_c)))
% 206.97/207.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.83 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_nat_Osize_I4_J,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_prod_Orecs,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,V_f1_2,T_c,T_e,T_d] : c_Product__Type_Oprod_Oprod__rec(T_d,T_e,T_c,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_in__lex__prod,axiom,
% 206.97/207.83 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_c,T_d,V_r_2,V_s_2)))
% 206.97/207.83 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_a_H_2)),V_r_2))
% 206.97/207.83 | ( V_a_2 = V_a_H_2
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_d),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_nat__size,axiom,
% 206.97/207.83 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 206.97/207.83
% 206.97/207.83 fof(fact_nat_Osize_I3_J,axiom,
% 206.97/207.83 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) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_same__fstI,axiom,
% 206.97/207.83 ! [T_c,V_R_2,V_y_2,V_y_H_2,T_d,V_x_2,V_Pa_2] :
% 206.97/207.83 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_d),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_c,T_d,V_Pa_2,V_R_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equivp__equiv,axiom,
% 206.97/207.83 ! [V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_A_2)
% 206.97/207.83 <=> c_Equiv__Relations_Oequivp(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,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_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_c,tc_HOL_Obool)),T_c),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),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_c),c_member(tc_prod(T_c,T_c)))),c_Product__Type_OPair(T_c,T_c)))),V_A_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apsnd__apfst,axiom,
% 206.97/207.83 ! [V_x_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e] : hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_f,T_c,T_e,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_f,T_e),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_f,T_e),V_x_2))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apfst__conv,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_f_2,T_d,T_c,T_e] : hAPP(c_Product__Type_Oapfst(T_e,T_c,T_d,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_e,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apfst__eq__conv,axiom,
% 206.97/207.83 ! [V_g_2,V_x_2,V_f_2,T_d,T_c,T_e] :
% 206.97/207.83 ( hAPP(c_Product__Type_Oapfst(T_e,T_c,T_d,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_e,T_c,T_d,V_g_2),V_x_2)
% 206.97/207.83 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fst__apfst,axiom,
% 206.97/207.83 ! [V_x_2,V_f_2,T_e,T_d,T_c] : hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(c_Product__Type_Oapfst(T_e,T_c,T_d,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_snd__apfst,axiom,
% 206.97/207.83 ! [V_x_2,V_f_2,T_e,T_c,T_d] : hAPP(c_Product__Type_Osnd(T_d,T_c),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_e,T_c),V_x_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_identity__equivp,axiom,
% 206.97/207.83 ! [T_c] : c_Equiv__Relations_Oequivp(T_c,c_fequal) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equivp__def,axiom,
% 206.97/207.83 ! [V_R_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.83 <=> ! [B_x,B_y] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 206.97/207.83 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equivp__reflp,axiom,
% 206.97/207.83 ! [V_x_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equivp__symp,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equivp__transp,axiom,
% 206.97/207.83 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apsnd__apfst__commute,axiom,
% 206.97/207.83 ! [V_p_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e] : hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_f,T_c,T_e,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_f,T_c,T_d,V_g_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_f,V_f_2),V_p_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apfst__apsnd,axiom,
% 206.97/207.83 ! [V_x_2,V_g_2,T_f,V_f_2,T_d,T_c,T_e] : hAPP(c_Product__Type_Oapfst(T_e,T_c,T_d,V_f_2),hAPP(c_Product__Type_Oapsnd(T_f,T_d,T_e,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_e,T_f),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_e,T_f),V_x_2))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pair__lessI2,axiom,
% 206.97/207.83 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_ImageE,axiom,
% 206.97/207.83 ! [V_A_2,V_r_2,T_d,V_b_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_d,T_c,V_r_2),V_A_2)))
% 206.97/207.83 => ~ ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_x),V_b_2)),V_r_2))
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mlex__prod__def,axiom,
% 206.97/207.83 ! [V_R_2,V_f_2,T_c] : c_Wellfounded_Omlex__prod(T_c,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_c),T_c),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_c,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_c,T_c,tc_prod(tc_Nat_Onat,T_c)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_c,tc_prod(tc_Nat_Onat,T_c)),T_c),c_Product__Type_OPair(tc_Nat_Onat,T_c)),V_f_2)),c_COMBI(T_c))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pair__less__def,axiom,
% 206.97/207.83 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_measure__def,axiom,
% 206.97/207.83 ! [T_c] : c_Wellfounded_Omeasure(T_c) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_c),c_Wellfounded_Oless__than) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_less__than__iff,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2] :
% 206.97/207.83 ( 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))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pair__lessI1,axiom,
% 206.97/207.83 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 206.97/207.83 => 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)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pair__leqI2,axiom,
% 206.97/207.83 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_smin__insertI,axiom,
% 206.97/207.83 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 206.97/207.83 => ( 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))
% 206.97/207.83 => ( 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))
% 206.97/207.83 => 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)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_smax__insertI,axiom,
% 206.97/207.83 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 206.97/207.83 => ( 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))
% 206.97/207.83 => ( 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))
% 206.97/207.83 => 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)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_smin__emptyI,axiom,
% 206.97/207.83 ! [V_X_2] :
% 206.97/207.83 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 206.97/207.83 => 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)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_smax__emptyI,axiom,
% 206.97/207.83 ! [V_Y_2] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 206.97/207.83 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 206.97/207.83 => 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)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pair__leqI1,axiom,
% 206.97/207.83 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 206.97/207.83 => 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)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wmax__insertI,axiom,
% 206.97/207.83 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 206.97/207.83 => ( 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))
% 206.97/207.83 => ( 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))
% 206.97/207.83 => 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)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wmin__insertI,axiom,
% 206.97/207.83 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 206.97/207.83 => ( 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))
% 206.97/207.83 => ( 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))
% 206.97/207.83 => 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)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Field__insert,axiom,
% 206.97/207.83 ! [V_r_2,V_b_2,V_a_2,T_c] : hAPP(c_Relation_OField(T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_c),V_r_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Field__Union,axiom,
% 206.97/207.83 ! [V_R_2,T_c] : hAPP(c_Relation_OField(T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),c_Relation_OField(T_c)),V_R_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Field__empty,axiom,
% 206.97/207.83 ! [T_c] : hAPP(c_Relation_OField(T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mono__Field,axiom,
% 206.97/207.83 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OField(T_c),V_r_2)),hAPP(c_Relation_OField(T_c),V_s_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Field__Un,axiom,
% 206.97/207.83 ! [V_s_2,V_r_2,T_c] : hAPP(c_Relation_OField(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OField(T_c),V_r_2)),hAPP(c_Relation_OField(T_c),V_s_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__Field,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_c)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_OField(T_c),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wmax__emptyI,axiom,
% 206.97/207.83 ! [V_X_2] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 206.97/207.83 => 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)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wmin__emptyI,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_min__weak__def,axiom,
% 206.97/207.83 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)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_max__weak__def,axiom,
% 206.97/207.83 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)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Id__on__def,axiom,
% 206.97/207.83 ! [V_A_2,T_c] : c_Relation_OId__on(T_c,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,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_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBS(T_c,T_c,tc_prod(T_c,T_c)),c_Product__Type_OPair(T_c,T_c)),c_COMBI(T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Id__on__def_H,axiom,
% 206.97/207.83 ! [V_A_2,T_c] : c_Relation_OId__on(T_c,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBC(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,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_c),c_fconj)),c_fequal))),V_A_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Id__on__empty,axiom,
% 206.97/207.83 ! [T_c] : c_Relation_OId__on(T_c,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Image__Id__on,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_c] : hAPP(c_Relation_OImage(T_c,T_c,c_Relation_OId__on(T_c,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Id__on__eqI,axiom,
% 206.97/207.83 ! [V_A_2,T_c,V_b_2,V_a_2] :
% 206.97/207.83 ( V_a_2 = V_b_2
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Relation_OId__on(T_c,V_A_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Id__on__iff,axiom,
% 206.97/207.83 ! [V_A_2,V_y_2,V_x_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Relation_OId__on(T_c,V_A_2)))
% 206.97/207.83 <=> ( V_x_2 = V_y_2
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_max__strict__def,axiom,
% 206.97/207.83 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_max__ext__additive,axiom,
% 206.97/207.83 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_c,V_R_2)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_c,V_R_2)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,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))),c_Wellfounded_Omax__ext(T_c,V_R_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_min__strict__def,axiom,
% 206.97/207.83 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_max__extp__max__ext__eq,axiom,
% 206.97/207.83 ! [V_xa_2,V_x_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Omax__extp(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,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_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_c,tc_HOL_Obool)),T_c),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),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_c),c_member(tc_prod(T_c,T_c)))),c_Product__Type_OPair(T_c,T_c)))),V_R_2),V_x_2,V_xa_2)
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_c,V_R_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_min__rpair__set,axiom,
% 206.97/207.83 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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_max__rpair__set,axiom,
% 206.97/207.83 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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rp__inv__image__rp,axiom,
% 206.97/207.83 ! [V_f_2,T_d,V_Pa_2,T_c] :
% 206.97/207.83 ( c_FunDef_Oreduction__pair(T_c,V_Pa_2)
% 206.97/207.83 => c_FunDef_Oreduction__pair(T_d,hAPP(hAPP(c_FunDef_Orp__inv__image(T_c,T_d),V_Pa_2),V_f_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equiv__intrel__iff,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2] :
% 206.97/207.83 ( 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))))
% 206.97/207.83 <=> 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)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_intrel__iff,axiom,
% 206.97/207.83 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 206.97/207.83 ( 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))
% 206.97/207.83 <=> 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) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Id__onE,axiom,
% 206.97/207.83 ! [V_A_2,V_c_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_c_2),c_Relation_OId__on(T_c,V_A_2)))
% 206.97/207.83 => ~ ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equiv__intrel,axiom,
% 206.97/207.83 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) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_of__int,axiom,
% 206.97/207.83 ! [V_j_2,V_i_2,T_c] :
% 206.97/207.83 ( class_Rings_Oring__1(T_c)
% 206.97/207.83 => hAPP(c_Int_Oring__1__class_Oof__int(T_c),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_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),V_j_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_One__int__def,axiom,
% 206.97/207.83 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))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mult,axiom,
% 206.97/207.83 ! [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))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Rep__Integ__inverse,axiom,
% 206.97/207.83 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_minus,axiom,
% 206.97/207.83 ! [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))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Zero__int__def,axiom,
% 206.97/207.83 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))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_int__def,axiom,
% 206.97/207.83 ! [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))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_add,axiom,
% 206.97/207.83 ! [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))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_nat,axiom,
% 206.97/207.83 ! [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) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_minus__int__def,axiom,
% 206.97/207.83 ! [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))))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_less,axiom,
% 206.97/207.83 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 206.97/207.83 ( 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)))))))
% 206.97/207.83 <=> 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))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_le,axiom,
% 206.97/207.83 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 206.97/207.83 ( 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)))))))
% 206.97/207.83 <=> 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))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_eq__Abs__Integ,axiom,
% 206.97/207.83 ! [V_z_2] :
% 206.97/207.83 ~ ! [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))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Integ__def,axiom,
% 206.97/207.83 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) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 206.97/207.83 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_c] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_c,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Rep__Integ,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 206.97/207.83 ! [V_f2_2,V_f1_2,T_c] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_c,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_type__definition__Integ,axiom,
% 206.97/207.83 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) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_accp__acc__eq,axiom,
% 206.97/207.83 ! [V_x_2,V_r_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,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_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_c,tc_HOL_Obool)),T_c),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),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_c),c_member(tc_prod(T_c,T_c)))),c_Product__Type_OPair(T_c,T_c)))),V_r_2)),V_x_2))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),c_Wellfounded_Oacc(T_c,V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__comp__def,axiom,
% 206.97/207.83 ! [V_s_2,V_r_2,T_d,T_e,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_e,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_e))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_e,tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_e,tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),T_c),c_COMBS(T_e,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_HOL_Obool),tc_fun(T_e,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_e),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),T_c),c_COMBC(T_e,tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_e)),tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_e),tc_fun(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool),tc_HOL_Obool),T_e),c_member(tc_prod(T_c,T_e)))),c_Product__Type_OPair(T_c,T_e)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),T_d),c_COMBC(T_e,tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_e,T_d)),tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_d),hAPP(c_COMBB(tc_prod(T_e,T_d),tc_fun(tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool),tc_HOL_Obool),T_e),c_member(tc_prod(T_e,T_d)))),hAPP(c_COMBC(T_e,T_d,tc_prod(T_e,T_d)),c_Product__Type_OPair(T_e,T_d))))),V_s_2))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__compI,axiom,
% 206.97/207.83 ! [V_s_2,V_c_2,T_e,V_r_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),V_r_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_b_2),V_c_2)),V_s_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_e),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_e),V_r_2),V_s_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__comp__UNION__distrib,axiom,
% 206.97/207.83 ! [V_r_2,V_I_2,T_f,V_s_2,T_d,T_e,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_f,tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_f,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),T_f),hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_s_2)),V_r_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__comp__UNION__distrib2,axiom,
% 206.97/207.83 ! [V_s_2,V_r_2,V_I_2,T_f,T_d,T_e,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_f,tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_f,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),T_f),c_Relation_Orel__comp(T_c,T_e,T_d)),V_r_2)),V_s_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__comp__empty1,axiom,
% 206.97/207.83 ! [V_R_2,T_d,T_e,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__comp__empty2,axiom,
% 206.97/207.83 ! [V_R_2,T_d,T_e,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__comp__distrib,axiom,
% 206.97/207.83 ! [V_T_2,V_S_2,V_R_2,T_d,T_e,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_e,T_d),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_R_2),V_T_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__comp__distrib2,axiom,
% 206.97/207.83 ! [V_R_2,V_T_2,V_S_2,T_d,T_e,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_e),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_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_T_2),V_R_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__comp__mono,axiom,
% 206.97/207.83 ! [V_s_2,V_s_H_2,T_e,V_r_2,V_r_H_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_e),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_e),V_r_2),V_s_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_O__assoc,axiom,
% 206.97/207.83 ! [V_T_2,V_S_2,V_R_2,T_f,T_d,T_e,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_f,T_e),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_c,T_f,T_d),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_f,T_e,T_d),V_S_2),V_T_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_union__comp__emptyL,axiom,
% 206.97/207.83 ! [V_B_2,V_C_2,V_A_2,T_c] :
% 206.97/207.83 ( hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))
% 206.97/207.83 => ( hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))
% 206.97/207.83 => hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_union__comp__emptyR,axiom,
% 206.97/207.83 ! [V_C_2,V_B_2,V_A_2,T_c] :
% 206.97/207.83 ( hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))
% 206.97/207.83 => ( hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))
% 206.97/207.83 => hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_acc__subset,axiom,
% 206.97/207.83 ! [V_R2_2,V_R1_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),c_Wellfounded_Oacc(T_c,V_R2_2)),c_Wellfounded_Oacc(T_c,V_R1_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_acc_Osimps,axiom,
% 206.97/207.83 ! [V_r_2,V_a_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Wellfounded_Oacc(T_c,V_r_2)))
% 206.97/207.83 <=> ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),V_a_2)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),B_x),c_Wellfounded_Oacc(T_c,V_r_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_acc__downward,axiom,
% 206.97/207.83 ! [V_a_2,V_r_2,V_b_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),c_Wellfounded_Oacc(T_c,V_r_2)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Wellfounded_Oacc(T_c,V_r_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_max__ext__compat,axiom,
% 206.97/207.83 ! [V_S_2,V_R_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_R_2),V_S_2)),V_R_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_c,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_c,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_c,V_R_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_min__ext__compat,axiom,
% 206.97/207.83 ! [V_S_2,V_R_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_R_2),V_S_2)),V_R_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_c,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_c,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_c,V_R_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_type__definition_OAbs__image,axiom,
% 206.97/207.83 ! [V_A_2,V_Abs_2,V_Rep_2,T_d,T_c] :
% 206.97/207.83 ( c_Typedef_Otype__definition(T_c,T_d,V_Rep_2,V_Abs_2,V_A_2)
% 206.97/207.83 => hAPP(c_Set_Oimage(T_d,T_c,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_type__definition_ORep__range,axiom,
% 206.97/207.83 ! [V_A_2,V_Abs_2,V_Rep_2,T_d,T_c] :
% 206.97/207.83 ( c_Typedef_Otype__definition(T_c,T_d,V_Rep_2,V_Abs_2,V_A_2)
% 206.97/207.83 => hAPP(c_Set_Oimage(T_c,T_d,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = V_A_2 ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_type__definition_OAbs__inject,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_d,T_c] :
% 206.97/207.83 ( c_Typedef_Otype__definition(T_c,T_d,V_Rep_2,V_Abs_2,V_A_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),V_A_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_y_2),V_A_2))
% 206.97/207.83 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 206.97/207.83 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_type__definition_ORep__inject,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_d,T_c] :
% 206.97/207.83 ( c_Typedef_Otype__definition(T_c,T_d,V_Rep_2,V_Abs_2,V_A_2)
% 206.97/207.83 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 206.97/207.83 <=> V_x_2 = V_y_2 ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_type__definition_ORep__inverse,axiom,
% 206.97/207.83 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_d,T_c] :
% 206.97/207.83 ( c_Typedef_Otype__definition(T_c,T_d,V_Rep_2,V_Abs_2,V_A_2)
% 206.97/207.83 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_type__definition_ORep,axiom,
% 206.97/207.83 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_d,T_c] :
% 206.97/207.83 ( c_Typedef_Otype__definition(T_c,T_d,V_Rep_2,V_Abs_2,V_A_2)
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_type__definition_OAbs__inverse,axiom,
% 206.97/207.83 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_d,T_c] :
% 206.97/207.83 ( c_Typedef_Otype__definition(T_c,T_d,V_Rep_2,V_Abs_2,V_A_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_y_2),V_A_2))
% 206.97/207.83 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pred__comp__rel__comp__eq,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_e,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_c,T_d,T_e,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_r_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),T_d),c_COMBC(T_e,tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(T_e,tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool)),T_d),hAPP(c_COMBB(tc_prod(T_d,T_e),tc_fun(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool),tc_HOL_Obool),T_e),c_member(tc_prod(T_d,T_e)))),c_Product__Type_OPair(T_d,T_e)))),V_s_2)),V_x_2),V_y_2))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_e),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_e),V_r_2),V_s_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_reduction__pairI,axiom,
% 206.97/207.83 ! [V_S_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_R_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_R_2),V_S_2)),V_R_2))
% 206.97/207.83 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(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)),V_R_2),V_S_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_max__extp_Oequations,axiom,
% 206.97/207.83 ! [V_a2_2,V_a1_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Omax__extp(T_c,V_R_2,V_a1_2,V_a2_2)
% 206.97/207.83 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_a1_2))
% 206.97/207.83 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_a2_2))
% 206.97/207.83 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 & ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_a1_2))
% 206.97/207.83 => ? [B_xa] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_a2_2))
% 206.97/207.83 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__less__than,axiom,
% 206.97/207.83 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pred__comp_Ointros,axiom,
% 206.97/207.83 ! [T_e,T_d,T_c,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_c,T_d,T_e,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__empty,axiom,
% 206.97/207.83 ! [T_c] : c_Wellfounded_Owf(T_c,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__inv__image,axiom,
% 206.97/207.83 ! [V_f_2,T_d,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Owf(T_d,hAPP(hAPP(c_Relation_Oinv__image(T_c,T_d),V_r_2),V_f_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__lex__prod,axiom,
% 206.97/207.83 ! [V_rb_2,T_d,V_ra_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_ra_2)
% 206.97/207.83 => ( c_Wellfounded_Owf(T_d,V_rb_2)
% 206.97/207.83 => c_Wellfounded_Owf(tc_prod(T_c,T_d),c_Wellfounded_Olex__prod(T_c,T_d,V_ra_2,V_rb_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__measure,axiom,
% 206.97/207.83 ! [V_f_2,T_c] : c_Wellfounded_Owf(T_c,hAPP(c_Wellfounded_Omeasure(T_c),V_f_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__comp__self,axiom,
% 206.97/207.83 ! [V_R_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_R_2)
% 206.97/207.83 <=> c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_R_2),V_R_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__subset,axiom,
% 206.97/207.83 ! [V_p_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_p_2),V_r_2))
% 206.97/207.83 => c_Wellfounded_Owf(T_c,V_p_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_min__ext__wf,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Owf(tc_fun(T_c,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_c,V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__less,axiom,
% 206.97/207.83 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)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__finite__psubset,axiom,
% 206.97/207.83 ! [T_c] : c_Wellfounded_Owf(tc_fun(T_c,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_c)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pred__comp_Oequations,axiom,
% 206.97/207.83 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_e,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_c,T_d,T_e,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 206.97/207.83 <=> ? [B_b] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 206.97/207.83 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__Int2,axiom,
% 206.97/207.83 ! [V_r_H_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__Int1,axiom,
% 206.97/207.83 ! [V_r_H_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__mlex,axiom,
% 206.97/207.83 ! [V_f_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_R_2)
% 206.97/207.83 => c_Wellfounded_Owf(T_c,c_Wellfounded_Omlex__prod(T_c,V_f_2,V_R_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__pair__less,axiom,
% 206.97/207.83 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_max__ext__wf,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Owf(tc_fun(T_c,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_c,V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__irrefl,axiom,
% 206.97/207.83 ! [V_a_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_a_2)),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__asym,axiom,
% 206.97/207.83 ! [V_x_2,V_a_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_x_2)),V_r_2))
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__not__sym,axiom,
% 206.97/207.83 ! [V_x_2,V_a_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_x_2)),V_r_2))
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__not__refl,axiom,
% 206.97/207.83 ! [V_a_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_a_2)),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__int__ge__less__than2,axiom,
% 206.97/207.83 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__int__ge__less__than,axiom,
% 206.97/207.83 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__acc__iff,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_c),B_x),c_Wellfounded_Oacc(T_c,V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_acc__wfD,axiom,
% 206.97/207.83 ! [V_x_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),c_Wellfounded_Oacc(T_c,V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__no__loop,axiom,
% 206.97/207.83 ! [V_R_2,T_c] :
% 206.97/207.83 ( hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))
% 206.97/207.83 => c_Wellfounded_Owf(T_c,V_R_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__union__merge,axiom,
% 206.97/207.83 ! [V_S_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2),V_S_2))
% 206.97/207.83 <=> c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_S_2),V_R_2))),V_S_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 <=> ~ ? [B_f] :
% 206.97/207.83 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wfE__pf,axiom,
% 206.97/207.83 ! [V_A_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_R_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_c,T_c,V_R_2),V_A_2)))
% 206.97/207.83 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__union__compatible,axiom,
% 206.97/207.83 ! [V_S_2,V_R_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_R_2)
% 206.97/207.83 => ( c_Wellfounded_Owf(T_c,V_S_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_R_2),V_S_2)),V_R_2))
% 206.97/207.83 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf,axiom,
% 206.97/207.83 ! [T_c] :
% 206.97/207.83 ( class_Orderings_Owellorder(T_c)
% 206.97/207.83 => c_Wellfounded_Owf(T_c,hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_c)))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_reduction__pair__def,axiom,
% 206.97/207.83 ! [V_Pa_2,T_c] :
% 206.97/207.83 ( c_FunDef_Oreduction__pair(T_c,V_Pa_2)
% 206.97/207.83 <=> ( c_Wellfounded_Owf(T_c,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_Pa_2))
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_Pa_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_reduction__pair__lemma,axiom,
% 206.97/207.83 ! [V_S_2,V_R_2,V_Pa_2,T_c] :
% 206.97/207.83 ( c_FunDef_Oreduction__pair(T_c,V_Pa_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_Pa_2)))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_Pa_2)))
% 206.97/207.83 => ( c_Wellfounded_Owf(T_c,V_S_2)
% 206.97/207.83 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__lenlex,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Owf(tc_List_Olist(T_c),c_List_Olenlex(T_c,V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__if__measure,axiom,
% 206.97/207.83 ! [T_c,V_g_2,V_f_2,V_Pa_2] :
% 206.97/207.83 ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.83 => 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))) )
% 206.97/207.83 => c_Wellfounded_Owf(T_c,hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_c),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),V_Pa_2))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_c),tc_fun(T_c,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_c)),c_fequal)),V_g_2))))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_max__ext_Ointros,axiom,
% 206.97/207.83 ! [V_R_2,V_Y_2,V_X_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_X_2))
% 206.97/207.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_Y_2))
% 206.97/207.83 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 => ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_X_2))
% 206.97/207.83 => ? [B_xa] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_Y_2))
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_xa)),V_R_2)) ) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_c,V_R_2))) ) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_pred__nat__def,axiom,
% 206.97/207.83 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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__lex,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Owf(tc_List_Olist(T_c),c_List_Olex(T_c,V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__lexn,axiom,
% 206.97/207.83 ! [V_n_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Owf(tc_List_Olist(T_c),hAPP(c_List_Olexn(T_c,V_r_2),V_n_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_lex__def,axiom,
% 206.97/207.83 ! [V_r_2,T_c] : c_List_Olex(T_c,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_c,V_r_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_lexn_Osimps_I1_J,axiom,
% 206.97/207.83 ! [V_r_2,T_c] : hAPP(c_List_Olexn(T_c,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__pred__nat,axiom,
% 206.97/207.83 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__same__fst,axiom,
% 206.97/207.83 ! [T_c,V_R_2,T_d,V_Pa_2] :
% 206.97/207.83 ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.83 => c_Wellfounded_Owf(T_d,hAPP(V_R_2,B_x)) )
% 206.97/207.83 => c_Wellfounded_Owf(tc_prod(T_c,T_d),c_Recdef_Osame__fst(T_c,T_d,V_Pa_2,V_R_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__Collect__split,axiom,
% 206.97/207.83 ! [V_Pa_2,T_c,T_d] : hAPP(c_Relation_ORange(T_d,T_c),hAPP(c_Set_OCollect(tc_prod(T_d,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d)),hAPP(c_COMBC(T_d,T_c,tc_HOL_Obool),V_Pa_2))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_RangeI,axiom,
% 206.97/207.83 ! [V_r_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(c_Relation_ORange(T_c,T_d),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__Id__on,axiom,
% 206.97/207.83 ! [V_A_2,T_c] : hAPP(c_Relation_ORange(T_c,T_c),c_Relation_OId__on(T_c,V_A_2)) = V_A_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__Diff__subset,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_d,T_c),V_A_2)),hAPP(c_Relation_ORange(T_d,T_c),V_B_2))),hAPP(c_Relation_ORange(T_d,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__Union,axiom,
% 206.97/207.83 ! [V_S_2,T_c,T_d] : hAPP(c_Relation_ORange(T_d,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_d,T_c)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__empty__iff,axiom,
% 206.97/207.83 ! [V_r_2,T_c,T_d] :
% 206.97/207.83 ( hAPP(c_Relation_ORange(T_d,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__empty,axiom,
% 206.97/207.83 ! [T_c,T_d] : hAPP(c_Relation_ORange(T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__Un__eq,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(c_Relation_ORange(T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,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(c_Relation_ORange(T_d,T_c),V_A_2)),hAPP(c_Relation_ORange(T_d,T_c),V_B_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__Range,axiom,
% 206.97/207.83 ! [V_r_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_d)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Relation_ORange(T_c,T_d),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_snd__eq__Range,axiom,
% 206.97/207.83 ! [V_R_2,T_c,T_d] : hAPP(c_Set_Oimage(tc_prod(T_d,T_c),T_c,c_Product__Type_Osnd(T_d,T_c)),V_R_2) = hAPP(c_Relation_ORange(T_d,T_c),V_R_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__iff,axiom,
% 206.97/207.83 ! [V_r_2,T_d,V_a_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Relation_ORange(T_d,T_c),V_r_2)))
% 206.97/207.83 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),V_a_2)),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__insert,axiom,
% 206.97/207.83 ! [V_r_2,V_b_2,V_a_2,T_c,T_d] : hAPP(c_Relation_ORange(T_d,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),hAPP(c_Relation_ORange(T_d,T_c),V_r_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Range__Int__subset,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_d,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(c_Relation_ORange(T_d,T_c),V_A_2)),hAPP(c_Relation_ORange(T_d,T_c),V_B_2)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nitpick_Oone__frac__def,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 206.97/207.83 ! [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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_RangeP__Range__eq,axiom,
% 206.97/207.83 ! [V_x_2,V_r_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Predicate_ORangeP(T_c,T_d,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_r_2)),V_x_2))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),hAPP(c_Relation_ORange(T_c,T_d),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_RangeP_Ointros,axiom,
% 206.97/207.83 ! [T_d,T_c,V_b_2,V_a_2,V_r_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 206.97/207.83 => hBOOL(hAPP(c_Predicate_ORangeP(T_c,T_d,V_r_2),V_b_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_RangeP_Oequations,axiom,
% 206.97/207.83 ! [V_a2_2,V_r_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Predicate_ORangeP(T_c,T_d,V_r_2),V_a2_2))
% 206.97/207.83 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nitpick_Ofrac__def,axiom,
% 206.97/207.83 ! [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)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_RangeE,axiom,
% 206.97/207.83 ! [V_r_2,T_d,V_b_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_d,T_c),V_r_2)))
% 206.97/207.83 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_x),V_b_2)),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__Un,axiom,
% 206.97/207.83 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => ( c_Wellfounded_Owf(T_c,V_s_2)
% 206.97/207.83 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_c,T_c),V_r_2)),hAPP(c_Relation_ORange(T_c,T_c),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_DomainI,axiom,
% 206.97/207.83 ! [V_r_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Relation_ODomain(T_c,T_d),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__Id__on,axiom,
% 206.97/207.83 ! [V_A_2,T_c] : hAPP(c_Relation_ODomain(T_c,T_c),c_Relation_OId__on(T_c,V_A_2)) = V_A_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__empty__iff,axiom,
% 206.97/207.83 ! [V_r_2,T_d,T_c] :
% 206.97/207.83 ( hAPP(c_Relation_ODomain(T_c,T_d),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__empty,axiom,
% 206.97/207.83 ! [T_d,T_c] : hAPP(c_Relation_ODomain(T_c,T_d),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__mono,axiom,
% 206.97/207.83 ! [V_s_2,V_r_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_c,T_d),V_r_2)),hAPP(c_Relation_ODomain(T_c,T_d),V_s_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__Un__eq,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] : hAPP(c_Relation_ODomain(T_c,T_d),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_d),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(c_Relation_ODomain(T_c,T_d),V_A_2)),hAPP(c_Relation_ODomain(T_c,T_d),V_B_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__Domain,axiom,
% 206.97/207.83 ! [V_r_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_d)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ODomain(T_c,T_d),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fst__eq__Domain,axiom,
% 206.97/207.83 ! [V_R_2,T_d,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_d),T_c,c_Product__Type_Ofst(T_c,T_d)),V_R_2) = hAPP(c_Relation_ODomain(T_c,T_d),V_R_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__iff,axiom,
% 206.97/207.83 ! [V_r_2,T_d,V_a_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Relation_ODomain(T_c,T_d),V_r_2)))
% 206.97/207.83 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),B_y)),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__insert,axiom,
% 206.97/207.83 ! [V_r_2,V_b_2,V_a_2,T_d,T_c] : hAPP(c_Relation_ODomain(T_c,T_d),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(c_Relation_ODomain(T_c,T_d),V_r_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__Int__subset,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_c,T_d),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_d),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_Relation_ODomain(T_c,T_d),V_A_2)),hAPP(c_Relation_ODomain(T_c,T_d),V_B_2)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__Diff__subset,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_c,T_d),V_A_2)),hAPP(c_Relation_ODomain(T_c,T_d),V_B_2))),hAPP(c_Relation_ODomain(T_c,T_d),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Field__def,axiom,
% 206.97/207.83 ! [V_r_2,T_c] : hAPP(c_Relation_OField(T_c),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_c,T_c),V_r_2)),hAPP(c_Relation_ORange(T_c,T_c),V_r_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__Union,axiom,
% 206.97/207.83 ! [V_S_2,T_d,T_c] : hAPP(c_Relation_ODomain(T_c,T_d),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_c,T_d)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Domain__Collect__split,axiom,
% 206.97/207.83 ! [V_Pa_2,T_d,T_c] : hAPP(c_Relation_ODomain(T_c,T_d),hAPP(c_Set_OCollect(tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d)),V_Pa_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_DomainP__Domain__eq,axiom,
% 206.97/207.83 ! [V_x_2,V_r_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Predicate_ODomainP(T_c,T_d,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_r_2)),V_x_2))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ODomain(T_c,T_d),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_DomainE,axiom,
% 206.97/207.83 ! [V_r_2,T_d,V_a_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Relation_ODomain(T_c,T_d),V_r_2)))
% 206.97/207.83 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),B_y)),V_r_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_image__split__eq__Sigma,axiom,
% 206.97/207.83 ! [V_A_2,V_g_2,V_f_2,T_d,T_c,T_e] : hAPP(c_Set_Oimage(T_e,tc_prod(T_c,T_d),hAPP(hAPP(c_COMBS(T_e,T_d,tc_prod(T_c,T_d)),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_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(c_Set_Oimage(T_e,T_c,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),c_Set_Oimage(T_e,T_d,V_g_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_HOL_Obool),tc_fun(tc_fun(T_e,tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_e,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_e,tc_HOL_Obool),T_c),c_Set_Ovimage(T_e,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)))))),V_A_2))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_DomainP_Ointros,axiom,
% 206.97/207.83 ! [T_d,T_c,V_b_2,V_a_2,V_r_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 206.97/207.83 => hBOOL(hAPP(c_Predicate_ODomainP(T_c,T_d,V_r_2),V_a_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_SigmaI,axiom,
% 206.97/207.83 ! [V_B_2,V_b_2,T_d,V_A_2,V_a_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(V_B_2,V_a_2)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__empty1,axiom,
% 206.97/207.83 ! [V_B_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Times__eq__cancel2,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,V_C_2,V_x_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_C_2))
% 206.97/207.83 => ( hAPP(hAPP(c_Product__Type_OSigma(T_d,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_d),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_d,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_d),V_C_2))
% 206.97/207.83 <=> V_A_2 = V_B_2 ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__Union,axiom,
% 206.97/207.83 ! [V_B_2,V_X_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Product__Type_OSigma(T_c,T_d)),V_B_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_card__cartesian__product,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] : hAPP(c_Finite__Set_Ocard(tc_prod(T_c,T_d)),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_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)),hAPP(c_Finite__Set_Ocard(T_d),V_B_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_setsum__cartesian__product,axiom,
% 206.97/207.83 ! [V_A_2,V_B_2,V_f_2,T_e,T_d,T_c] :
% 206.97/207.83 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.83 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_e,T_c),tc_fun(tc_fun(T_e,tc_HOL_Obool),T_c),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_e,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_d,T_e),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),V_f_2)),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))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Times__empty,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.83 ( 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)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool))
% 206.97/207.83 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__empty2,axiom,
% 206.97/207.83 ! [V_A_2,T_d,T_c] : 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),c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Compl__Times__UNIV2,axiom,
% 206.97/207.83 ! [V_A_2,T_d,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),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),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Compl__Times__UNIV1,axiom,
% 206.97/207.83 ! [V_A_2,T_d,T_c] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_d,tc_HOL_Obool)),V_A_2))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_setprod__cartesian__product,axiom,
% 206.97/207.83 ! [V_A_2,V_B_2,V_f_2,T_e,T_d,T_c] :
% 206.97/207.83 ( class_Groups_Ocomm__monoid__mult(T_c)
% 206.97/207.83 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_c),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_e,T_c),tc_fun(tc_fun(T_e,tc_HOL_Obool),T_c),T_d),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_e,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_d,T_e),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),V_f_2)),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))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__Un__distrib2,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_I_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),hAPP(hAPP(c_COMBS(T_c,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_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),V_B_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Times__Un__distrib1,axiom,
% 206.97/207.83 ! [V_C_2,V_B_2,V_A_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),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_C_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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__Un__distrib1,axiom,
% 206.97/207.83 ! [V_C_2,V_J_2,V_I_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,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_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_J_2),V_C_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_rel__comp__subset__Sigma,axiom,
% 206.97/207.83 ! [V_C_2,V_s_2,T_e,V_B_2,V_A_2,V_r_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_r_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))))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_d,T_e),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_B_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_C_2))))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_e),V_r_2),V_s_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_C_2)))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_swap__product,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(c_Set_Oimage(tc_prod(T_d,T_c),tc_prod(T_c,T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_c,T_d)),hAPP(c_COMBC(T_c,T_d,tc_prod(T_c,T_d)),c_Product__Type_OPair(T_c,T_d)))),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_d),V_B_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_A_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__cartesian__product,axiom,
% 206.97/207.83 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_d)),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)))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_equiv__type,axiom,
% 206.97/207.83 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2)))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__Int__distrib1,axiom,
% 206.97/207.83 ! [V_C_2,V_J_2,V_I_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,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_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_J_2),V_C_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Times__Int__distrib1,axiom,
% 206.97/207.83 ! [V_C_2,V_B_2,V_A_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),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_C_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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__Int__distrib2,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_I_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),hAPP(hAPP(c_COMBS(T_c,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_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),V_B_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Id__on__subset__Times,axiom,
% 206.97/207.83 ! [V_A_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Relation_OId__on(T_c,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__Diff__distrib1,axiom,
% 206.97/207.83 ! [V_C_2,V_J_2,V_I_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_J_2),V_C_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Times__Diff__distrib1,axiom,
% 206.97/207.83 ! [V_C_2,V_B_2,V_A_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),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_C_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))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__Diff__distrib2,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_I_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),hAPP(hAPP(c_COMBS(T_c,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_c),c_Groups_Ominus__class_Ominus(tc_fun(T_d,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_I_2),V_B_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_DomainP_Oequations,axiom,
% 206.97/207.83 ! [V_a1_2,V_r_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Predicate_ODomainP(T_c,T_d,V_r_2),V_a1_2))
% 206.97/207.83 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_UNIV__Times__UNIV,axiom,
% 206.97/207.83 ! [T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mem__Sigma__iff,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)))
% 206.97/207.83 <=> ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_SigmaD1,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_SigmaD2,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_SigmaE2,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)))
% 206.97/207.83 => ~ ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(c_member(T_d),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_card__cartesian__product__singleton,axiom,
% 206.97/207.83 ! [V_A_2,V_x_2,T_d,T_c] : hAPP(c_Finite__Set_Ocard(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_d),V_A_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Times__subset__cancel2,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,V_C_2,V_x_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_C_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_d),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_d),V_C_2))))
% 206.97/207.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Image__subset,axiom,
% 206.97/207.83 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_r_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))))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_d,V_r_2),V_C_2)),V_B_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__cartesian__productD1,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_d)),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))))
% 206.97/207.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__cartesian__productD2,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_d)),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))))
% 206.97/207.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Collect__split,axiom,
% 206.97/207.83 ! [V_Qa_2,V_Pa_2,T_d,T_c] : hAPP(c_Set_OCollect(tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(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_c),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(c_Set_OCollect(T_c),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_Set_OCollect(T_d),V_Qa_2))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_SetCompr__Sigma__eq,axiom,
% 206.97/207.83 ! [V_Qa_2,V_Pa_2,T_d,T_c] : hAPP(c_Set_OCollect(tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(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_c),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(c_Set_OCollect(T_c),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),c_Set_OCollect(T_d)),V_Qa_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fst__image__times,axiom,
% 206.97/207.83 ! [V_A_2,T_d,T_c,V_B_2] :
% 206.97/207.83 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 => hAPP(c_Set_Oimage(tc_prod(T_d,T_c),T_d,c_Product__Type_Ofst(T_d,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_d),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) )
% 206.97/207.83 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 => hAPP(c_Set_Oimage(tc_prod(T_d,T_c),T_d,c_Product__Type_Ofst(T_d,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_d),V_B_2))) = V_A_2 ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_snd__image__times,axiom,
% 206.97/207.83 ! [V_B_2,T_d,T_c,V_A_2] :
% 206.97/207.83 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 => hAPP(c_Set_Oimage(tc_prod(T_c,T_d),T_d,c_Product__Type_Osnd(T_c,T_d)),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))) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) )
% 206.97/207.83 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 => hAPP(c_Set_Oimage(tc_prod(T_c,T_d),T_d,c_Product__Type_Osnd(T_c,T_d)),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))) = V_B_2 ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_insert__times__insert,axiom,
% 206.97/207.83 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(hAPP(c_Set_Oinsert(T_d),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),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),hAPP(hAPP(c_Set_Oinsert(T_d),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__equiv__class,axiom,
% 206.97/207.83 ! [V_X_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2))))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2)))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_X_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_UN__Times__distrib,axiom,
% 206.97/207.83 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_d,T_c,T_f,T_e] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_e,T_f),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_e,T_f),V_A_2),hAPP(c_COMBK(tc_fun(T_f,tc_HOL_Obool),T_e),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_f,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),tc_fun(T_f,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),tc_fun(tc_fun(T_f,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),tc_fun(T_f,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool))),T_e),c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),T_f)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),T_e),c_Product__Type_OSigma(T_c,T_d)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_f),c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_f,tc_fun(T_d,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sigma__def,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_d,T_c] : hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_prod(T_c,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_fun(tc_prod(T_c,T_d),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool))),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_d),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_fun(tc_prod(T_c,T_d),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_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),T_d),c_Set_Oinsert(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool))))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__quotient,axiom,
% 206.97/207.83 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2))))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A_2),V_r_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_d,T_c,T_e] :
% 206.97/207.83 ( class_Rings_Osemiring__0(T_e)
% 206.97/207.83 => ( c_Fun_Oinj__on(tc_prod(T_c,T_d),T_e,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_e),tc_fun(T_d,T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_e,T_e),tc_fun(tc_fun(T_d,T_e),tc_fun(T_d,T_e)),T_c),c_COMBB(T_e,T_e,T_d)),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_e,T_e),T_c),c_Groups_Otimes__class_Otimes(T_e)),V_f_2))),V_g_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)))
% 206.97/207.83 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_e),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_e),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_e),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_e,T_e),c_Fun_Oid(T_e)),hAPP(c_Set_OCollect(T_e),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_e),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_e),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_e,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(T_c,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_e),c_COMBS(T_c,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_c,tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool))),T_e),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_c),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_e),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,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_d),c_fconj))),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_c,tc_fun(T_d,T_e)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_e),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,T_e)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_e),c_COMBB(tc_fun(T_d,T_e),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_e),tc_fun(T_d,tc_HOL_Obool)),T_e),c_COMBB(T_e,tc_HOL_Obool,T_d)),c_fequal))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_e),tc_fun(T_d,T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_e,T_e),tc_fun(tc_fun(T_d,T_e),tc_fun(T_d,T_e)),T_c),c_COMBB(T_e,T_e,T_d)),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_e,T_e),T_c),c_Groups_Otimes__class_Otimes(T_e)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(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_c),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_d)),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(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_B_2))))))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 206.97/207.83 ! [V_A_2,V_I_2,T_d,T_c] :
% 206.97/207.83 ? [B_f] :
% 206.97/207.83 ( c_Fun_Oinj__on(T_c,tc_prod(T_d,T_c),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))
% 206.97/207.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,tc_prod(T_d,T_c),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_c),V_I_2),V_A_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fold__image__Sigma,axiom,
% 206.97/207.83 ! [V_g_2,V_B_2,T_d,V_A_2,T_c,T_e] :
% 206.97/207.83 ( class_Groups_Ocomm__monoid__mult(T_e)
% 206.97/207.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.83 => ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(V_B_2,B_x))) )
% 206.97/207.83 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_e,T_c,c_Groups_Otimes__class_Otimes(T_e)),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_d,tc_HOL_Obool),T_e),hAPP(hAPP(c_COMBC(T_c,T_e,tc_fun(tc_fun(T_d,tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_e),tc_fun(T_e,tc_fun(tc_fun(T_d,tc_HOL_Obool),T_e)),T_c),c_Finite__Set_Ofold__image(T_e,T_d,c_Groups_Otimes__class_Otimes(T_e))),V_g_2)),c_Groups_Oone__class_Oone(T_e))),V_B_2)),c_Groups_Oone__class_Oone(T_e)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_e,tc_prod(T_c,T_d),c_Groups_Otimes__class_Otimes(T_e)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),V_g_2)),c_Groups_Oone__class_Oone(T_e)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_image__id,axiom,
% 206.97/207.83 ! [V_Y_2,T_c] : hAPP(c_Set_Oimage(T_c,T_c,c_Fun_Oid(T_c)),V_Y_2) = V_Y_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inj__on__id,axiom,
% 206.97/207.83 ! [V_A_2,T_c] : c_Fun_Oinj__on(T_c,T_c,c_Fun_Oid(T_c),V_A_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_vimage__id,axiom,
% 206.97/207.83 ! [V_A_2,T_c] : hAPP(c_Set_Ovimage(T_c,T_c,c_Fun_Oid(T_c)),V_A_2) = V_A_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_id__apply,axiom,
% 206.97/207.83 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 206.97/207.83
% 206.97/207.83 fof(fact_id__def,axiom,
% 206.97/207.83 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apsnd__id,axiom,
% 206.97/207.83 ! [T_c,T_d] : c_Product__Type_Oapsnd(T_d,T_d,T_c,c_Fun_Oid(T_d)) = c_Fun_Oid(tc_prod(T_c,T_d)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apfst__id,axiom,
% 206.97/207.83 ! [T_d,T_c] : c_Product__Type_Oapfst(T_c,T_c,T_d,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_c,T_d)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_of__int__eq__id,axiom,
% 206.97/207.83 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_surj__id,axiom,
% 206.97/207.83 ! [T_c] : hAPP(c_Set_Oimage(T_c,T_c,c_Fun_Oid(T_c)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_split__Pair,axiom,
% 206.97/207.83 ! [T_d,T_c] : hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_prod(T_c,T_d)),c_Product__Type_OPair(T_c,T_d)) = c_Fun_Oid(tc_prod(T_c,T_d)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_setsum__reindex__id,axiom,
% 206.97/207.83 ! [V_B_2,V_f_2,T_c,T_d] :
% 206.97/207.83 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.83 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_B_2)
% 206.97/207.83 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_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_Oimage(T_c,T_d,V_f_2),V_B_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_setprod__reindex__id,axiom,
% 206.97/207.83 ! [V_B_2,V_f_2,T_c,T_d] :
% 206.97/207.83 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.97/207.83 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_B_2)
% 206.97/207.83 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_setprod__Sigma,axiom,
% 206.97/207.83 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_e] :
% 206.97/207.83 ( class_Groups_Ocomm__monoid__mult(T_e)
% 206.97/207.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.83 => ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(V_B_2,B_x))) )
% 206.97/207.83 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_e),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_d,tc_HOL_Obool),T_e),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_e),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_e),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_e)),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_e),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_setsum__Sigma,axiom,
% 206.97/207.83 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_e] :
% 206.97/207.83 ( class_Groups_Ocomm__monoid__add(T_e)
% 206.97/207.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.83 => ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(V_B_2,B_x))) )
% 206.97/207.83 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_e),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_d,tc_HOL_Obool),T_e),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_e),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_e),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_e)),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_e),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_card__SigmaI,axiom,
% 206.97/207.83 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.83 => ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(V_B_2,B_x))) )
% 206.97/207.83 => hAPP(c_Finite__Set_Ocard(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_Nat_Onat,T_c),c_Finite__Set_Ocard(T_d)),V_B_2)),V_A_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__SigmaI,axiom,
% 206.97/207.83 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.83 => ( ! [B_a] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_a),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(V_B_2,B_a))) )
% 206.97/207.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_SigmaE,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_c_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)))
% 206.97/207.83 => ~ ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => ! [B_y] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_d),B_y),hAPP(V_B_2,B_x)))
% 206.97/207.83 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair__surj,axiom,
% 206.97/207.83 ! [V_g_2,T_e,T_f,V_f_2,T_c,T_d] :
% 206.97/207.83 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 => ( hAPP(c_Set_Oimage(T_f,T_e,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_f,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))
% 206.97/207.83 => hAPP(c_Set_Oimage(tc_prod(T_d,T_f),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_d,T_c,T_f,T_e,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_d,T_f),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair__imageI,axiom,
% 206.97/207.83 ! [V_g_2,V_f_2,T_f,T_e,V_R_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),V_R_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_e,T_f)),hAPP(hAPP(c_Product__Type_OPair(T_e,T_f),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_c,T_d),tc_prod(T_e,T_f),c_Product__Type_Omap__pair(T_c,T_e,T_d,T_f,V_f_2,V_g_2)),V_R_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair__simp,axiom,
% 206.97/207.83 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_d,T_f,T_c,T_e] : hAPP(c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_e,T_f),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair__ident,axiom,
% 206.97/207.83 ! [V_z_2,T_d,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_c,T_d,T_d,c_COMBI(T_c),c_COMBI(T_d)),V_z_2) = V_z_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_snd__prod__fun,axiom,
% 206.97/207.83 ! [V_x_2,V_g_2,V_f_2,T_f,T_e,T_c,T_d] : hAPP(c_Product__Type_Osnd(T_d,T_c),hAPP(c_Product__Type_Omap__pair(T_e,T_d,T_f,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_e,T_f),V_x_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fst__map__pair,axiom,
% 206.97/207.83 ! [V_x_2,V_g_2,V_f_2,T_f,T_e,T_d,T_c] : hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_e,T_f),V_x_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair_Oidentity,axiom,
% 206.97/207.83 ! [T_d,T_c] : c_Product__Type_Omap__pair(T_c,T_c,T_d,T_d,c_COMBI(T_c),c_COMBI(T_d)) = c_Fun_Oid(tc_prod(T_c,T_d)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apsnd__def,axiom,
% 206.97/207.83 ! [V_f_2,T_c,T_e,T_d] : c_Product__Type_Oapsnd(T_d,T_e,T_c,V_f_2) = c_Product__Type_Omap__pair(T_c,T_c,T_d,T_e,c_Fun_Oid(T_c),V_f_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apfst__def,axiom,
% 206.97/207.83 ! [V_f_2,T_d,T_e,T_c] : c_Product__Type_Oapfst(T_c,T_e,T_d,V_f_2) = c_Product__Type_Omap__pair(T_c,T_e,T_d,T_d,V_f_2,c_Fun_Oid(T_d)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair_Oid,axiom,
% 206.97/207.83 ! [T_d,T_c] : c_Product__Type_Omap__pair(T_c,T_c,T_d,T_d,c_Fun_Oid(T_c),c_Fun_Oid(T_d)) = c_Fun_Oid(tc_prod(T_c,T_d)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair__def,axiom,
% 206.97/207.83 ! [V_g_2,V_f_2,T_f,T_d,T_e,T_c] : c_Product__Type_Omap__pair(T_c,T_e,T_d,T_f,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_prod(T_e,T_f)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_f),tc_fun(T_d,tc_prod(T_e,T_f))),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_e,T_f)),tc_fun(tc_fun(T_d,T_f),tc_fun(T_d,tc_prod(T_e,T_f))),T_c),c_COMBB(T_f,tc_prod(T_e,T_f),T_d)),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_f,tc_prod(T_e,T_f)),T_c),c_Product__Type_OPair(T_e,T_f)),V_f_2))),V_g_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair__surj__on,axiom,
% 206.97/207.83 ! [V_B_H_2,V_B_2,V_g_2,T_e,T_f,V_A_H_2,V_A_2,V_f_2,T_c,T_d] :
% 206.97/207.83 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2) = V_A_H_2
% 206.97/207.83 => ( hAPP(c_Set_Oimage(T_f,T_e,V_g_2),V_B_2) = V_B_H_2
% 206.97/207.83 => hAPP(c_Set_Oimage(tc_prod(T_d,T_f),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_d,T_c,T_f,T_e,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_f),V_A_2),hAPP(c_COMBK(tc_fun(T_f,tc_HOL_Obool),T_d),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_H_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_H_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__map__pair__image,axiom,
% 206.97/207.83 ! [V_f_2,T_d,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.83 => c_Wellfounded_Owf(T_d,hAPP(c_Set_Oimage(tc_prod(T_c,T_c),tc_prod(T_d,T_d),c_Product__Type_Omap__pair(T_c,T_d,T_c,T_d,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair__inj__on,axiom,
% 206.97/207.83 ! [V_B_2,V_g_2,T_f,T_e,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.83 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.83 => ( c_Fun_Oinj__on(T_e,T_f,V_g_2,V_B_2)
% 206.97/207.83 => c_Fun_Oinj__on(tc_prod(T_c,T_e),tc_prod(T_d,T_f),c_Product__Type_Omap__pair(T_c,T_d,T_e,T_f,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))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_prod__fun__imageE,axiom,
% 206.97/207.83 ! [V_R_2,V_g_2,V_f_2,T_f,T_e,V_c_2,T_d,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_e,T_f),tc_prod(T_c,T_d),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2)),V_R_2)))
% 206.97/207.83 => ~ ! [B_x,B_y] :
% 206.97/207.83 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_e,T_f)),hAPP(hAPP(c_Product__Type_OPair(T_e,T_f),B_x),B_y)),V_R_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__on__def,axiom,
% 206.97/207.83 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2))))
% 206.97/207.83 & ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x)),V_r_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wfP__def,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_OwfP(T_c,V_r_2)
% 206.97/207.83 <=> c_Wellfounded_Owf(T_c,hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wfP__empty,axiom,
% 206.97/207.83 ! [T_c] : c_Wellfounded_OwfP(T_c,hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),hAPP(c_COMBK(tc_HOL_Obool,T_c),c_fFalse))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__on__Id__on,axiom,
% 206.97/207.83 ! [V_A_2,T_c] : c_Relation_Orefl__on(T_c,V_A_2,c_Relation_OId__on(T_c,V_A_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wfP__accp__iff,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_OwfP(T_c,V_r_2)
% 206.97/207.83 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_c,V_r_2),B_x1)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_accp__wfPD,axiom,
% 206.97/207.83 ! [V_x_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_OwfP(T_c,V_r_2)
% 206.97/207.83 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_c,V_r_2),V_x_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wfP__subset,axiom,
% 206.97/207.83 ! [V_p_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_OwfP(T_c,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),V_p_2),V_r_2))
% 206.97/207.83 => c_Wellfounded_OwfP(T_c,V_p_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__on__empty,axiom,
% 206.97/207.83 ! [T_c] : c_Relation_Orefl__on(T_c,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__on__Un,axiom,
% 206.97/207.83 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( c_Relation_Orefl__on(T_c,V_B_2,V_s_2)
% 206.97/207.83 => c_Relation_Orefl__on(T_c,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(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__on__Int,axiom,
% 206.97/207.83 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( c_Relation_Orefl__on(T_c,V_B_2,V_s_2)
% 206.97/207.83 => c_Relation_Orefl__on(T_c,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(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__onD,axiom,
% 206.97/207.83 ! [V_a_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__onD1,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__onD2,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__in__rel,axiom,
% 206.97/207.83 ! [V_R_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_R_2)
% 206.97/207.83 => c_Wellfounded_OwfP(T_c,c_FunDef_Oin__rel(T_c,T_c,V_R_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wfP__wf__eq,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,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_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_c,tc_HOL_Obool)),T_c),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),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_c),c_member(tc_prod(T_c,T_c)))),c_Product__Type_OPair(T_c,T_c)))),V_r_2))
% 206.97/207.83 <=> c_Wellfounded_Owf(T_c,V_r_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_reflp__def,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Predicate_Oreflp(T_c,V_r_2)
% 206.97/207.83 <=> c_Relation_Orefl__on(T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__onI,axiom,
% 206.97/207.83 ! [V_A_2,V_r_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2))))
% 206.97/207.83 => ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x)),V_r_2)) )
% 206.97/207.83 => c_Relation_Orefl__on(T_c,V_A_2,V_r_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wfP__acyclicP,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_OwfP(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Oacyclic(T_c,hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),V_r_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_acyclic__subset,axiom,
% 206.97/207.83 ! [V_r_2,V_s_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Oacyclic(T_c,V_s_2)
% 206.97/207.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.83 => c_Wellfounded_Oacyclic(T_c,V_r_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_reflpE,axiom,
% 206.97/207.83 ! [V_x_2,V_r_2,T_c] :
% 206.97/207.83 ( c_Predicate_Oreflp(T_c,V_r_2)
% 206.97/207.83 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__acyclic,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Oacyclic(T_c,V_r_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_c)),V_r_2))
% 206.97/207.83 => ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.83 <=> c_Wellfounded_Oacyclic(T_c,V_r_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_finite__acyclic__wf,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_c)),V_r_2))
% 206.97/207.83 => ( c_Wellfounded_Oacyclic(T_c,V_r_2)
% 206.97/207.83 => c_Wellfounded_Owf(T_c,V_r_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Nitpick_Owf_H__def,axiom,
% 206.97/207.83 ! [V_r_2,T_c] :
% 206.97/207.83 ( c_Nitpick_Owf_H(T_c,V_r_2)
% 206.97/207.83 <=> ( c_Wellfounded_Oacyclic(T_c,V_r_2)
% 206.97/207.83 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_c)),V_r_2))
% 206.97/207.83 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Rep__Integ__induct,axiom,
% 206.97/207.83 ! [V_Pa_2,V_y_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 206.97/207.83 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 206.97/207.83 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Rep__Integ__cases,axiom,
% 206.97/207.83 ! [V_y_2] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 206.97/207.83 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_refl__on__def_H,axiom,
% 206.97/207.83 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.83 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.83 <=> ( ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),B_x),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,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_c),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_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(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2))),B_x)) )
% 206.97/207.83 & ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x)),V_r_2)) ) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Abs__Integ__induct,axiom,
% 206.97/207.83 ! [V_x_2,V_Pa_2] :
% 206.97/207.83 ( ! [B_y] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 206.97/207.83 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 206.97/207.83 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Abs__Integ__cases,axiom,
% 206.97/207.83 ! [V_x_2] :
% 206.97/207.83 ~ ! [B_y] :
% 206.97/207.83 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_INFI__bool__eq,axiom,
% 206.97/207.83 ! [T_c] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_HOL_Obool) = c_Set_OBall(T_c) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_ball__empty,axiom,
% 206.97/207.83 ! [V_Pa_2,T_c,B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.97/207.83 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Powp__def,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(c_Predicate_OPowp(T_c,V_A_2),V_B_2))
% 206.97/207.83 <=> ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_B_2))
% 206.97/207.83 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Collect__ball__eq,axiom,
% 206.97/207.83 ! [V_Pa_2,V_A_2,T_d,T_c] : hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OAll(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fimplies),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_A_2)))),V_Pa_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_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_OCollect(T_c)),hAPP(c_COMBC(T_c,T_d,tc_HOL_Obool),V_Pa_2))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_congruent__def,axiom,
% 206.97/207.83 ! [V_f_2,V_r_2,T_d,T_c] :
% 206.97/207.83 ( c_Equiv__Relations_Ocongruent(T_c,T_d,V_r_2,V_f_2)
% 206.97/207.83 <=> ! [B_x] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),B_x),V_r_2))
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),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_c),c_COMBB(T_d,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_c),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_INTER__def,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,T_c,T_d] : 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(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OAll(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fimplies),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_d)),c_member(T_c))),V_B_2)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Sup__Inf,axiom,
% 206.97/207.83 ! [V_A_2,T_c] :
% 206.97/207.83 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.83 => c_Complete__Lattice_OSup__class_OSup(T_c,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_c,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_c),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(c_COMBC(T_c,T_c,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_c)))))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Inf__Sup,axiom,
% 206.97/207.83 ! [V_A_2,T_c] :
% 206.97/207.83 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.83 => c_Complete__Lattice_OInf__class_OInf(T_c,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_c,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_c),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)))),c_Orderings_Oord__class_Oless__eq(T_c))))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wfP__SUP,axiom,
% 206.97/207.83 ! [T_c,V_r_2,T_d] :
% 206.97/207.83 ( ! [B_i] : c_Wellfounded_OwfP(T_d,hAPP(V_r_2,B_i))
% 206.97/207.83 => ( ! [B_i,B_j] :
% 206.97/207.83 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 206.97/207.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),c_Predicate_ODomainP(T_d,T_d,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_d,T_d,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) )
% 206.97/207.83 => c_Wellfounded_OwfP(T_d,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_r_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mem__splitI2,axiom,
% 206.97/207.83 ! [V_c_2,V_z_2,T_e,T_d,T_c,V_p_2] :
% 206.97/207.83 ( ! [B_a,B_b] :
% 206.97/207.83 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_a),B_b)
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_e),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 206.97/207.83 => hBOOL(hAPP(hAPP(c_member(T_e),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_e,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_mem__splitE,axiom,
% 206.97/207.83 ! [V_p_2,V_c_2,T_e,T_d,V_z_2,T_c] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(T_c,tc_HOL_Obool)),V_c_2),V_p_2)))
% 206.97/207.83 => ~ ! [B_x,B_y] :
% 206.97/207.83 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)
% 206.97/207.83 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Inter__eq,axiom,
% 206.97/207.83 ! [V_A_2,T_c] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OAll(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_c,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_c,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,tc_HOL_Obool))),V_A_2)))),c_member(T_c)))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_vimage__Times,axiom,
% 206.97/207.83 ! [V_B_2,V_A_2,V_f_2,T_e,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,tc_prod(T_d,T_e),V_f_2),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(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,T_c,c_Product__Type_Ofst(T_d,T_e)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_e,hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_e,T_c,c_Product__Type_Osnd(T_d,T_e)),V_f_2)),V_B_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_Eps__split,axiom,
% 206.97/207.83 ! [V_Pa_2,T_d,T_c] : c_Hilbert__Choice_OEps(tc_prod(T_c,T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_c,T_d),hAPP(hAPP(c_COMBS(tc_prod(T_c,T_d),T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_HOL_Obool),tc_prod(T_c,T_d)),V_Pa_2),c_Product__Type_Ofst(T_c,T_d))),c_Product__Type_Osnd(T_c,T_d))) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_wfI__pf,axiom,
% 206.97/207.83 ! [V_R_2,T_c] :
% 206.97/207.83 ( ! [B_A] :
% 206.97/207.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_c,T_c,V_R_2),B_A)))
% 206.97/207.83 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 206.97/207.83 => c_Wellfounded_Owf(T_c,V_R_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_id__o,axiom,
% 206.97/207.83 ! [V_g_2,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_d,T_c,c_Fun_Oid(T_d)),V_g_2) = V_g_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_o__id,axiom,
% 206.97/207.83 ! [V_f_2,T_d,T_c] : hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_f_2),c_Fun_Oid(T_c)) = V_f_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_o__eq__id__dest,axiom,
% 206.97/207.83 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_c,T_d,T_e] :
% 206.97/207.83 ( hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_d,T_c,c_Fun_Oid(T_d)),V_c_2)
% 206.97/207.83 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 206.97/207.83 ! [V_x_2,V_f_2,T_d,T_c] :
% 206.97/207.83 ( c_Finite__Set_Ofun__left__comm__idem(T_c,T_d,V_f_2)
% 206.97/207.83 => hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fun__upd__comp,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_c,T_d,T_e] : hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),c_Fun_Ofun__upd(T_c,T_e,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_c,T_d,hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_vimage__compose,axiom,
% 206.97/207.83 ! [V_x_2,V_f_2,V_g_2,T_e,T_d,T_c] : hAPP(c_Set_Ovimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_c,T_e,V_f_2),hAPP(c_Set_Ovimage(T_e,T_d,V_g_2),V_x_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_o__assoc,axiom,
% 206.97/207.83 ! [V_h_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e] : hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),hAPP(c_Fun_Ocomp(T_f,T_e,T_c,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_f,T_d,T_c,hAPP(c_Fun_Ocomp(T_e,T_d,T_f,V_f_2),V_g_2)),V_h_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_o__apply,axiom,
% 206.97/207.83 ! [V_x_2,V_g_2,V_f_2,T_e,T_c,T_d] : hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_o__eq__dest,axiom,
% 206.97/207.83 ! [V_v_2,V_d_2,V_c_2,T_f,V_b_2,V_a_2,T_c,T_d,T_e] :
% 206.97/207.83 ( hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_f,T_d,T_c,V_c_2),V_d_2)
% 206.97/207.83 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_o__eq__elim,axiom,
% 206.97/207.83 ! [V_d_2,V_c_2,T_f,V_b_2,V_a_2,T_c,T_d,T_e] :
% 206.97/207.83 ( hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_f,T_d,T_c,V_c_2),V_d_2)
% 206.97/207.83 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_tfl__some,axiom,
% 206.97/207.83 ! [T_c,B_P] :
% 206.97/207.83 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 206.97/207.83 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_c,B_P))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_someI,axiom,
% 206.97/207.83 ! [T_c,V_x_2,V_Pa_2] :
% 206.97/207.83 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.83 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_c,V_Pa_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_comp__cong,axiom,
% 206.97/207.83 ! [T_g,T_f,T_e,T_c,T_d,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 206.97/207.83 ( 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))
% 206.97/207.83 => hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_f,T_c,T_g,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_o__eq__dest__lhs,axiom,
% 206.97/207.83 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_c,T_d,T_e] :
% 206.97/207.83 ( hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_a_2),V_b_2) = V_c_2
% 206.97/207.83 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 206.97/207.83 ! [V_y_2,V_x_2,V_f_2,T_d,T_c] :
% 206.97/207.83 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.97/207.83 => hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_someI__ex,axiom,
% 206.97/207.83 ! [T_c,V_Pa_2] :
% 206.97/207.83 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 206.97/207.83 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_c,V_Pa_2))) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_some__eq__ex,axiom,
% 206.97/207.83 ! [T_c,V_Pa_2] :
% 206.97/207.83 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_c,V_Pa_2)))
% 206.97/207.83 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_some__eq__trivial,axiom,
% 206.97/207.83 ! [V_x_2,T_c] : c_Hilbert__Choice_OEps(T_c,hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_some__sym__eq__trivial,axiom,
% 206.97/207.83 ! [V_x_2,T_c] : c_Hilbert__Choice_OEps(T_c,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_K__record__comp,axiom,
% 206.97/207.83 ! [V_x_2,V_f_2,V_c_2,T_e,T_c,T_d] : hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_e,hAPP(c_COMBK(T_c,T_d),V_c_2)),V_f_2),V_x_2) = V_c_2 ).
% 206.97/207.83
% 206.97/207.83 fof(fact_o__def,axiom,
% 206.97/207.83 ! [V_x_2,V_g_2,V_f_2,T_e,T_c,T_d] : hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_exE__some,axiom,
% 206.97/207.83 ! [T_c,V_c_2,V_Pa_2] :
% 206.97/207.83 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 206.97/207.83 => ( V_c_2 = c_Hilbert__Choice_OEps(T_c,V_Pa_2)
% 206.97/207.83 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apsnd__compose,axiom,
% 206.97/207.83 ! [V_x_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e] : hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_f,T_e,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_f,T_d,T_c,hAPP(c_Fun_Ocomp(T_e,T_d,T_f,V_f_2),V_g_2)),V_x_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_apfst__compose,axiom,
% 206.97/207.83 ! [V_x_2,V_g_2,T_f,V_f_2,T_d,T_c,T_e] : hAPP(c_Product__Type_Oapfst(T_e,T_c,T_d,V_f_2),hAPP(c_Product__Type_Oapfst(T_f,T_e,T_d,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_f,T_c,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_f,V_f_2),V_g_2)),V_x_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inj__on__imageI2,axiom,
% 206.97/207.83 ! [V_A_2,V_f_2,V_f_H_2,T_e,T_d,T_c] :
% 206.97/207.83 ( c_Fun_Oinj__on(T_c,T_d,hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_H_2),V_f_2),V_A_2)
% 206.97/207.83 => c_Fun_Oinj__on(T_c,T_e,V_f_2,V_A_2) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inj__comp,axiom,
% 206.97/207.83 ! [V_g_2,T_e,V_f_2,T_d,T_c] :
% 206.97/207.83 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.83 => ( c_Fun_Oinj__on(T_e,T_c,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool)))
% 206.97/207.83 => c_Fun_Oinj__on(T_e,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_e,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_comp__surj,axiom,
% 206.97/207.83 ! [V_g_2,T_e,V_f_2,T_c,T_d] :
% 206.97/207.83 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.83 => ( hAPP(c_Set_Oimage(T_c,T_e,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))
% 206.97/207.83 => hAPP(c_Set_Oimage(T_d,T_e,hAPP(c_Fun_Ocomp(T_c,T_e,T_d,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool)) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_comp__inj__on__iff,axiom,
% 206.97/207.83 ! [V_f_H_2,T_e,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.83 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.83 => ( c_Fun_Oinj__on(T_d,T_e,V_f_H_2,hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2))
% 206.97/207.83 <=> c_Fun_Oinj__on(T_c,T_e,hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_comp__inj__on,axiom,
% 206.97/207.83 ! [V_g_2,T_e,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.83 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.83 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2))
% 206.97/207.83 => c_Fun_Oinj__on(T_c,T_e,hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_g_2),V_f_2),V_A_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_inj__on__imageI,axiom,
% 206.97/207.83 ! [V_A_2,V_f_2,V_g_2,T_e,T_d,T_c] :
% 206.97/207.83 ( c_Fun_Oinj__on(T_c,T_d,hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_g_2),V_f_2),V_A_2)
% 206.97/207.83 => c_Fun_Oinj__on(T_e,T_d,V_g_2,hAPP(c_Set_Oimage(T_c,T_e,V_f_2),V_A_2)) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_image__compose,axiom,
% 206.97/207.83 ! [V_r_2,V_g_2,V_f_2,T_e,T_c,T_d] : hAPP(c_Set_Oimage(T_d,T_c,hAPP(c_Fun_Ocomp(T_e,T_c,T_d,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_e,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_e,V_g_2),V_r_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair_Ocompositionality,axiom,
% 206.97/207.83 ! [V_prod_2,V_i_2,V_h_2,T_h,T_g,V_g_2,V_f_2,T_d,T_f,T_c,T_e] : hAPP(c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_g,T_e,T_h,T_f,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_g,T_c,T_h,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_h,V_g_2),V_i_2)),V_prod_2) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair__compose,axiom,
% 206.97/207.83 ! [V_g2_2,V_g1_2,T_h,V_f2_2,V_f1_2,T_g,T_f,T_d,T_e,T_c] : c_Product__Type_Omap__pair(T_c,T_e,T_d,T_f,hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_h,T_f,T_d,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_g,T_h),tc_prod(T_e,T_f),tc_prod(T_c,T_d),c_Product__Type_Omap__pair(T_g,T_e,T_h,T_f,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_c,T_g,T_d,T_h,V_f2_2,V_g2_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_map__pair_Ocomp,axiom,
% 206.97/207.83 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_d,T_c,T_f,T_e,T_h,T_g] : hAPP(c_Fun_Ocomp(tc_prod(T_g,T_h),tc_prod(T_e,T_f),tc_prod(T_c,T_d),c_Product__Type_Omap__pair(T_g,T_e,T_h,T_f,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_c,T_g,T_d,T_h,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_c,T_e,T_d,T_f,hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_h,T_f,T_d,V_g_2),V_i_2)) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_setsum__reindex,axiom,
% 206.97/207.83 ! [V_h_2,V_B_2,V_f_2,T_d,T_c,T_e] :
% 206.97/207.83 ( class_Groups_Ocomm__monoid__add(T_e)
% 206.97/207.83 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_B_2)
% 206.97/207.83 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_e),V_h_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_e),hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_h_2),V_f_2)),V_B_2) ) ) ).
% 206.97/207.83
% 206.97/207.83 fof(fact_setprod__reindex,axiom,
% 206.97/207.83 ! [V_h_2,V_B_2,V_f_2,T_d,T_c,T_e] :
% 206.97/207.83 ( class_Groups_Ocomm__monoid__mult(T_e)
% 206.97/207.83 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_B_2)
% 206.97/207.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_e),V_h_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_e),hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_h_2),V_f_2)),V_B_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_setprod__reindex__cong,axiom,
% 206.97/207.84 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_d,T_c,T_e] :
% 206.97/207.84 ( class_Groups_Ocomm__monoid__mult(T_e)
% 206.97/207.84 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.84 => ( V_B_2 = hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)
% 206.97/207.84 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_h_2),V_f_2)
% 206.97/207.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_e),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_e),V_g_2),V_A_2) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Eps__split__eq,axiom,
% 206.97/207.84 ! [V_y_2,V_x_2,T_d,T_c] : c_Hilbert__Choice_OEps(tc_prod(T_c,T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(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_c),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_d)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_split__paired__Eps,axiom,
% 206.97/207.84 ! [V_Pa_2,T_d,T_c] : c_Hilbert__Choice_OEps(tc_prod(T_c,T_d),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_c,T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_HOL_Obool,T_d),V_Pa_2)),c_Product__Type_OPair(T_c,T_d)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_setsum_Oreindex,axiom,
% 206.97/207.84 ! [V_g_2,V_h_2,V_A_2,T_c,T_d] :
% 206.97/207.84 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 206.97/207.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_setprod_Oreindex,axiom,
% 206.97/207.84 ! [V_g_2,V_h_2,V_A_2,T_c,T_d] :
% 206.97/207.84 ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 206.97/207.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_the__inv__into__comp,axiom,
% 206.97/207.84 ! [V_x_2,V_A_2,V_g_2,T_e,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(c_Set_Oimage(T_e,T_c,V_g_2),V_A_2))
% 206.97/207.84 => ( c_Fun_Oinj__on(T_e,T_c,V_g_2,V_A_2)
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),hAPP(c_Set_Oimage(T_e,T_c,V_g_2),V_A_2))))
% 206.97/207.84 => hAPP(c_Fun_Othe__inv__into(T_e,T_d,V_A_2,hAPP(c_Fun_Ocomp(T_c,T_d,T_e,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_e,T_d,c_Fun_Othe__inv__into(T_e,T_c,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_c,T_d,hAPP(c_Set_Oimage(T_e,T_c,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_fold__image__reindex,axiom,
% 206.97/207.84 ! [V_z_2,V_g_2,V_h_2,T_d,V_A_2,T_c,T_e] :
% 206.97/207.84 ( class_Groups_Oab__semigroup__mult(T_e)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( c_Fun_Oinj__on(T_c,T_d,V_h_2,V_A_2)
% 206.97/207.84 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_e,T_d,c_Groups_Otimes__class_Otimes(T_e)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_c,T_d,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_e,T_c,c_Groups_Otimes__class_Otimes(T_e)),hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Oremove,axiom,
% 206.97/207.84 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.84 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_d,T_d,T_d,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)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding__image_Oreindex,axiom,
% 206.97/207.84 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding__image(T_c,T_d,V_f_2,V_z_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.97/207.84 => ( c_Fun_Oinj__on(T_d,T_d,V_h_2,V_A_2)
% 206.97/207.84 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_d,T_d,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_d,T_c,T_d,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Ounion,axiom,
% 206.97/207.84 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.84 => ( 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))
% 206.97/207.84 => 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(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 206.97/207.84 ! [V_h_2,V_g_2,T_h,V_f_2,T_e,T_f,T_g,V_F_2,V_fa_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_fa_2,V_F_2)
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_g,T_f,T_e,V_f_2),hAPP(c_Fun_Ocomp(T_h,T_g,T_e,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_h,T_f,T_e,hAPP(c_Fun_Ocomp(T_g,T_f,T_h,V_f_2),V_g_2)),V_h_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Ocommute__comp,axiom,
% 206.97/207.84 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Ocommute__left__comp,axiom,
% 206.97/207.84 ! [V_g_2,V_x_2,V_y_2,T_e,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_UN__o,axiom,
% 206.97/207.84 ! [V_f_2,V_g_2,T_e,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_c,tc_HOL_Obool),T_d,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_e,V_f_2),V_A_2)),V_g_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_fst__comp__map__pair,axiom,
% 206.97/207.84 ! [V_g_2,V_f_2,T_d,T_c,T_f,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),T_e,tc_prod(T_c,T_d),c_Product__Type_Ofst(T_e,T_f)),c_Product__Type_Omap__pair(T_c,T_e,T_d,T_f,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_e,tc_prod(T_c,T_d),V_f_2),c_Product__Type_Ofst(T_c,T_d)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_snd__comp__map__pair,axiom,
% 206.97/207.84 ! [V_g_2,V_f_2,T_d,T_c,T_e,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_e),T_e,tc_prod(T_c,T_d),c_Product__Type_Osnd(T_f,T_e)),c_Product__Type_Omap__pair(T_c,T_f,T_d,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_d,T_e,tc_prod(T_c,T_d),V_g_2),c_Product__Type_Osnd(T_c,T_d)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding__image_Odistrib,axiom,
% 206.97/207.84 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding__image(T_c,T_d,V_f_2,V_z_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.97/207.84 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_split__comp,axiom,
% 206.97/207.84 ! [V_x_2,V_g_2,V_f_2,T_f,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_c),hAPP(c_Fun_Ocomp(T_f,tc_fun(T_e,T_c),T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Ocommute__comp_H,axiom,
% 206.97/207.84 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 206.97/207.84 ! [V_g_2,V_x_2,T_e,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 206.97/207.84 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 206.97/207.84 ! [V_g_2,T_e,V_B_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Oempty,axiom,
% 206.97/207.84 ! [V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Fun_Oid(T_d) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Oeq__fold,axiom,
% 206.97/207.84 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_s_2),V_A_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding__image_Oeq__fold,axiom,
% 206.97/207.84 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding__image(T_c,T_d,V_f_2,V_z_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.97/207.84 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_d,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Oinsert,axiom,
% 206.97/207.84 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.84 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Ounion__inter,axiom,
% 206.97/207.84 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_d,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(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding_Oinsert__remove,axiom,
% 206.97/207.84 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_d,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)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_hoare__derivs_OIf,axiom,
% 206.97/207.84 ! [V_d_2,V_Qa_2,V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_c] :
% 206.97/207.84 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),c_Hoare__Mirabelle_Opeek__and(T_c,V_Pa_2,V_b_2)),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 206.97/207.84 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),c_Hoare__Mirabelle_Opeek__and(T_c,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_c),tc_HOL_Obool))))
% 206.97/207.84 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Pa_2),c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Loop,axiom,
% 206.97/207.84 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_c] :
% 206.97/207.84 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),c_Hoare__Mirabelle_Opeek__and(T_c,V_Pa_2,V_b_2)),V_c_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 206.97/207.84 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_c,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_c),tc_HOL_Obool)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_setsum__reindex__nonzero,axiom,
% 206.97/207.84 ! [T_d,V_h_2,V_f_2,V_S_2,T_c,T_e] :
% 206.97/207.84 ( class_Groups_Ocomm__monoid__add(T_e)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_S_2))
% 206.97/207.84 => ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_S_2))
% 206.97/207.84 => ! [B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),V_S_2))
% 206.97/207.84 => ( B_x != B_y
% 206.97/207.84 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 206.97/207.84 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_e) ) ) ) )
% 206.97/207.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_e),V_h_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_e),hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_peek__and__def,axiom,
% 206.97/207.84 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_c,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 206.97/207.84 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 206.97/207.84 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding__idem_Ounion__idem,axiom,
% 206.97/207.84 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding__idem(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.84 => 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(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 206.97/207.84 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding__idem(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding__idem_Oinsert__idem,axiom,
% 206.97/207.84 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding__idem(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 206.97/207.84 ! [V_g_2,V_x_2,T_e,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding__idem(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_d,T_d,T_e,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding__idem_Oidem__comp,axiom,
% 206.97/207.84 ! [V_x_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding__idem(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 206.97/207.84 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofolding__idem(T_c,T_d,V_f_2,V_F_2)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.84 => hAPP(c_Fun_Ocomp(T_d,T_d,T_d,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_strong__setprod__reindex__cong,axiom,
% 206.97/207.84 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_d,T_c,T_e] :
% 206.97/207.84 ( class_Groups_Ocomm__monoid__mult(T_e)
% 206.97/207.84 => ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.84 => ( V_B_2 = hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)
% 206.97/207.84 => ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.84 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_h_2),V_f_2),B_x) )
% 206.97/207.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_e),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_e),V_g_2),V_A_2) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Sigma__mono,axiom,
% 206.97/207.84 ! [V_D_2,V_B_2,T_d,V_C_2,V_A_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2))
% 206.97/207.84 => ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_C_2),V_D_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_not__acc__down,axiom,
% 206.97/207.84 ! [V_R_2,V_x_2,T_c] :
% 206.97/207.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),c_Wellfounded_Oacc(T_c,V_R_2)))
% 206.97/207.84 => ~ ! [B_z] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_z),V_x_2)),V_R_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),B_z),c_Wellfounded_Oacc(T_c,V_R_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_acc_OaccI,axiom,
% 206.97/207.84 ! [V_r_2,V_x_2,T_c] :
% 206.97/207.84 ( ! [B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),V_x_2)),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),B_y),c_Wellfounded_Oacc(T_c,V_r_2))) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),c_Wellfounded_Oacc(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_max__ext_Osimps,axiom,
% 206.97/207.84 ! [V_R_2,V_a2_2,V_a1_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_c,V_R_2)))
% 206.97/207.84 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_a1_2))
% 206.97/207.84 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_a2_2))
% 206.97/207.84 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.84 & ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_a1_2))
% 206.97/207.84 => ? [B_xa] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_a2_2))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_wf__no__infinite__down__chainE,axiom,
% 206.97/207.84 ! [V_f_2,V_r_2,T_c] :
% 206.97/207.84 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.84 => ~ ! [B_k] : 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,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_scomp__unfold,axiom,
% 206.97/207.84 ! [V_x_2,V_g_2,V_f_2,T_c,T_f,T_e,T_d] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_d,T_e,T_f,T_c),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_f),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_e,T_f),hAPP(V_f_2,V_x_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_setsum__ivl__cong,axiom,
% 206.97/207.84 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_c,T_d] :
% 206.97/207.84 ( ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.84 & class_Orderings_Oord(T_c) )
% 206.97/207.84 => ( V_a_2 = V_c_2
% 206.97/207.84 => ( V_b_2 = V_d_2
% 206.97/207.84 => ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_c_2),B_x))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),B_x),V_d_2))
% 206.97/207.84 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 206.97/207.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_c,V_c_2),V_d_2)) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_less__eq,axiom,
% 206.97/207.84 ! [V_n_2,V_m_2] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Pair__scomp,axiom,
% 206.97/207.84 ! [V_f_2,V_x_2,T_d,T_e,T_c] : hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_e,T_c,T_d),hAPP(c_Product__Type_OPair(T_e,T_c),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_scomp__Pair,axiom,
% 206.97/207.84 ! [V_x_2,T_e,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,tc_prod(T_d,T_e)),V_x_2),c_Product__Type_OPair(T_d,T_e)) = V_x_2 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_scomp__scomp,axiom,
% 206.97/207.84 ! [V_h_2,V_g_2,V_f_2,T_h,T_g,T_d,T_f,T_e,T_c] : hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_e,T_f,T_d),hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_g,T_h,tc_prod(T_e,T_f)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_g,T_h,T_d),V_f_2),hAPP(hAPP(c_COMBC(T_g,tc_fun(T_e,tc_fun(T_f,T_d)),tc_fun(T_h,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_h,tc_prod(T_e,T_f)),tc_fun(tc_fun(T_e,tc_fun(T_f,T_d)),tc_fun(T_h,T_d)),T_g),c_Product__Type_Oscomp(T_h,T_e,T_f,T_d)),V_g_2)),V_h_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_wf__trancl,axiom,
% 206.97/207.84 ! [V_r_2,T_c] :
% 206.97/207.84 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.84 => c_Wellfounded_Owf(T_c,c_Transitive__Closure_Otrancl(T_c,V_r_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_scomp__apply,axiom,
% 206.97/207.84 ! [V_x_2,V_g_2,V_f_2,T_c,T_f,T_e,T_d] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_d,T_e,T_f,T_c),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_c),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_scomp__def,axiom,
% 206.97/207.84 ! [V_x_2,V_g_2,V_f_2,T_c,T_f,T_e,T_d] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_d,T_e,T_f,T_c),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_c),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_less__than__def,axiom,
% 206.97/207.84 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_acyclic__def,axiom,
% 206.97/207.84 ! [V_r_2,T_c] :
% 206.97/207.84 ( c_Wellfounded_Oacyclic(T_c,V_r_2)
% 206.97/207.84 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl_Or__into__trancl,axiom,
% 206.97/207.84 ! [V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__subset__Field2,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_c,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),hAPP(c_Relation_OField(T_c),V_r_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),hAPP(c_Relation_OField(T_c),V_r_2))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__Int__subset,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_c,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_c,V_r_2)),V_s_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_r__into__trancl_H,axiom,
% 206.97/207.84 ! [V_r_2,V_p_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__empty,axiom,
% 206.97/207.84 ! [T_c] : c_Transitive__Closure_Otrancl(T_c,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__domain,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hAPP(c_Relation_ODomain(T_c,T_c),c_Transitive__Closure_Otrancl(T_c,V_r_2)) = hAPP(c_Relation_ODomain(T_c,T_c),V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__range,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hAPP(c_Relation_ORange(T_c,T_c),c_Transitive__Closure_Otrancl(T_c,V_r_2)) = hAPP(c_Relation_ORange(T_c,T_c),V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_finite__trancl,axiom,
% 206.97/207.84 ! [V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_c)),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_c)),V_r_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__trans,axiom,
% 206.97/207.84 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 => ( 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_c_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 206.97/207.84 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 => ( 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_c_2)),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__into__trancl2,axiom,
% 206.97/207.84 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.84 => ( 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_c_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_r__r__into__trancl,axiom,
% 206.97/207.84 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_R_2))
% 206.97/207.84 => ( 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_c_2)),V_R_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_c,V_R_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__mono,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,V_p_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),c_Transitive__Closure_Otrancl(T_c,V_s_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__unfold,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Transitive__Closure_Otrancl(T_c,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),c_Transitive__Closure_Otrancl(T_c,V_r_2)),V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__subset__Sigma,axiom,
% 206.97/207.84 ! [V_A_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_c,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_iterate_Osimps,axiom,
% 206.97/207.84 ! [V_x_2,V_f_2,T_c,T_d,V_k_2] :
% 206.97/207.84 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.84 => hAPP(c_Random_Oiterate(T_d,T_c,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2) )
% 206.97/207.84 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.84 => hAPP(c_Random_Oiterate(T_d,T_c,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_c,tc_prod(T_d,T_c)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_d,T_c,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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__insert,axiom,
% 206.97/207.84 ! [V_r_2,V_x_2,V_y_2,T_c] : c_Transitive__Closure_Otrancl(T_c,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_c,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,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_c),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_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),hAPP(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_c),c_member(tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBC(T_c,T_c,tc_prod(T_c,T_c)),c_Product__Type_OPair(T_c,T_c)),V_y_2))),c_Transitive__Closure_Ortrancl(T_c,V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),hAPP(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_c),c_member(tc_prod(T_c,T_c))),hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2))),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_r__into__rtrancl,axiom,
% 206.97/207.84 ! [V_r_2,V_p_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 206.97/207.84 ! [V_r_2,V_a_2,T_c] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__into__rtrancl,axiom,
% 206.97/207.84 ! [V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__rtrancl__absorb,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : c_Transitive__Closure_Ortrancl(T_c,c_Transitive__Closure_Otrancl(T_c,V_R_2)) = c_Transitive__Closure_Ortrancl(T_c,V_R_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__trancl__absorb,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : c_Transitive__Closure_Otrancl(T_c,c_Transitive__Closure_Ortrancl(T_c,V_R_2)) = c_Transitive__Closure_Ortrancl(T_c,V_R_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__unfold__right,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Transitive__Closure_Otrancl(T_c,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),c_Transitive__Closure_Ortrancl(T_c,V_r_2)),V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__unfold__left,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Transitive__Closure_Otrancl(T_c,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_r_2),c_Transitive__Closure_Ortrancl(T_c,V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Domain__rtrancl,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : hAPP(c_Relation_ODomain(T_c,T_c),c_Transitive__Closure_Ortrancl(T_c,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Range__rtrancl,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : hAPP(c_Relation_ORange(T_c,T_c),c_Transitive__Closure_Ortrancl(T_c,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__rtrancl__UnI,axiom,
% 206.97/207.84 ! [V_S_2,V_R_2,V_x_2,T_c] :
% 206.97/207.84 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_x_2),c_Transitive__Closure_Ortrancl(T_c,V_R_2)))
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_x_2),c_Transitive__Closure_Ortrancl(T_c,V_S_2))) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_x_2),c_Transitive__Closure_Ortrancl(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_r__comp__rtrancl__eq,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_r_2),c_Transitive__Closure_Ortrancl(T_c,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),c_Transitive__Closure_Ortrancl(T_c,V_r_2)),V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__idemp__self__comp,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),c_Transitive__Closure_Ortrancl(T_c,V_R_2)),c_Transitive__Closure_Ortrancl(T_c,V_R_2)) = c_Transitive__Closure_Ortrancl(T_c,V_R_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__subset__rtrancl,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_c,V_s_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)),c_Transitive__Closure_Ortrancl(T_c,V_s_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__subset,axiom,
% 206.97/207.84 ! [V_S_2,V_R_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2),V_S_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_c,V_R_2)))
% 206.97/207.84 => c_Transitive__Closure_Ortrancl(T_c,V_S_2) = c_Transitive__Closure_Ortrancl(T_c,V_R_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__mono,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)),c_Transitive__Closure_Ortrancl(T_c,V_s_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__Un__subset,axiom,
% 206.97/207.84 ! [V_S_2,V_R_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_c,V_R_2)),c_Transitive__Closure_Ortrancl(T_c,V_S_2))),c_Transitive__Closure_Ortrancl(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__Un__rtrancl,axiom,
% 206.97/207.84 ! [V_S_2,V_R_2,T_c] : c_Transitive__Closure_Ortrancl(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_c,V_R_2)),c_Transitive__Closure_Ortrancl(T_c,V_S_2))) = c_Transitive__Closure_Ortrancl(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Image__closed__trancl,axiom,
% 206.97/207.84 ! [V_X_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r_2),V_X_2)),V_X_2))
% 206.97/207.84 => hAPP(c_Relation_OImage(T_c,T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2)),V_X_2) = V_X_2 ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__idemp,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Transitive__Closure_Ortrancl(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2)) = c_Transitive__Closure_Ortrancl(T_c,V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__trans,axiom,
% 206.97/207.84 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => ( 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_c_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 206.97/207.84 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => ( 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_c_2)),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 206.97/207.84 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.84 => ( 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_c_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_refl__rtrancl,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Relation_Orefl__on(T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__trancl__trancl,axiom,
% 206.97/207.84 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__rtrancl__trancl,axiom,
% 206.97/207.84 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 => ( 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_c_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__into__trancl1,axiom,
% 206.97/207.84 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => ( 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_c_2)),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtranclD,axiom,
% 206.97/207.84 ! [V_R_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,V_R_2)))
% 206.97/207.84 => ( V_a_2 = V_b_2
% 206.97/207.84 | ( V_a_2 != V_b_2
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_c,V_R_2))) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__into__trancl2,axiom,
% 206.97/207.84 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.84 => ( 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_c_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__eq__or__trancl,axiom,
% 206.97/207.84 ! [V_R_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,V_R_2)))
% 206.97/207.84 <=> ( V_x_2 = V_y_2
% 206.97/207.84 | ( V_x_2 != V_y_2
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_c,V_R_2))) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Not__Domain__rtrancl,axiom,
% 206.97/207.84 ! [V_y_2,V_R_2,V_x_2,T_c] :
% 206.97/207.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ODomain(T_c,T_c),V_R_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,V_R_2)))
% 206.97/207.84 <=> V_x_2 = V_y_2 ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_acc__downwards,axiom,
% 206.97/207.84 ! [V_b_2,V_r_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Wellfounded_Oacc(T_c,V_r_2)))
% 206.97/207.84 => ( 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_a_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),c_Wellfounded_Oacc(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_acc__downwards__aux,axiom,
% 206.97/207.84 ! [V_r_2,V_a_2,V_b_2,T_c] :
% 206.97/207.84 ( 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_a_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Wellfounded_Oacc(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),c_Wellfounded_Oacc(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_wf__insert,axiom,
% 206.97/207.84 ! [V_r_2,V_x_2,V_y_2,T_c] :
% 206.97/207.84 ( c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_x_2)),V_r_2))
% 206.97/207.84 <=> ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.84 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_acyclic__insert,axiom,
% 206.97/207.84 ! [V_r_2,V_x_2,V_y_2,T_c] :
% 206.97/207.84 ( c_Wellfounded_Oacyclic(T_c,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_x_2)),V_r_2))
% 206.97/207.84 <=> ( c_Wellfounded_Oacyclic(T_c,V_r_2)
% 206.97/207.84 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_pred__nat__trancl__eq__le,axiom,
% 206.97/207.84 ! [V_n_2,V_m_2] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__subset__Sigma__aux,axiom,
% 206.97/207.84 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2))))
% 206.97/207.84 => ( V_a_2 = V_b_2
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_log_Osimps,axiom,
% 206.97/207.84 ! [V_i,V_b] :
% 206.97/207.84 ( ( ( 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)))
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 206.97/207.84 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 206.97/207.84 & ( ~ ( 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)))
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 206.97/207.84 => 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))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_minus__shift__def,axiom,
% 206.97/207.84 ! [V_r,V_l,V_k] :
% 206.97/207.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 206.97/207.84 => 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) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_inc__shift__def,axiom,
% 206.97/207.84 ! [V_k,V_v] :
% 206.97/207.84 ( ( V_v = V_k
% 206.97/207.84 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 206.97/207.84 & ( V_v != V_k
% 206.97/207.84 => 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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_range,axiom,
% 206.97/207.84 ! [V_s,V_k] :
% 206.97/207.84 ( 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))
% 206.97/207.84 => 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)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_irrefl__tranclI,axiom,
% 206.97/207.84 ! [V_x_2,V_r_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sequence__trans,axiom,
% 206.97/207.84 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_c] :
% 206.97/207.84 ( ! [B_i] : 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,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => 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,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_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_acyclic__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_c] :
% 206.97/207.84 ( c_Wellfounded_Oacyclic(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))
% 206.97/207.84 <=> c_Wellfounded_Oacyclic(T_c,V_r_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__UNION,axiom,
% 206.97/207.84 ! [V_r_2,V_S_2,T_e,T_c,T_d] : hAPP(c_Relation_Oconverse(T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),T_e),c_Relation_Oconverse(T_d,T_c)),V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__rel__comp,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_e,T_c,T_d] : hAPP(c_Relation_Oconverse(T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_d,T_e,T_c),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),hAPP(c_Relation_Oconverse(T_e,T_c),V_s_2)),hAPP(c_Relation_Oconverse(T_d,T_e),V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__Un,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_c,T_d] : hAPP(c_Relation_Oconverse(T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2)),hAPP(c_Relation_Oconverse(T_d,T_c),V_s_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__Id__on,axiom,
% 206.97/207.84 ! [V_A_2,T_c] : hAPP(c_Relation_Oconverse(T_c,T_c),c_Relation_OId__on(T_c,V_A_2)) = c_Relation_OId__on(T_c,V_A_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__inv__image,axiom,
% 206.97/207.84 ! [V_f_2,V_R_2,T_d,T_c] : hAPP(c_Relation_Oconverse(T_c,T_c),hAPP(hAPP(c_Relation_Oinv__image(T_d,T_c),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_d),V_R_2)),V_f_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__Int,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_c,T_d] : hAPP(c_Relation_Oconverse(T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2)),hAPP(c_Relation_Oconverse(T_d,T_c),V_s_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_c,T_d] : hAPP(c_Relation_Oconverse(T_d,T_c),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) = V_r_2 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_finite__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_d,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_d)),hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2)))
% 206.97/207.84 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_d,T_c)),V_r_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Field__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hAPP(c_Relation_OField(T_c),hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)) = hAPP(c_Relation_OField(T_c),V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__iff,axiom,
% 206.97/207.84 ! [V_r_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2)))
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_b_2),V_a_2)),V_r_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converseI,axiom,
% 206.97/207.84 ! [V_r_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converseD,axiom,
% 206.97/207.84 ! [V_r_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_b_2),V_a_2)),V_r_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_refl__on__converse,axiom,
% 206.97/207.84 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.84 ( c_Relation_Orefl__on(T_c,V_A_2,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))
% 206.97/207.84 <=> c_Relation_Orefl__on(T_c,V_A_2,V_r_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__INTER,axiom,
% 206.97/207.84 ! [V_r_2,V_S_2,T_e,T_c,T_d] : hAPP(c_Relation_Oconverse(T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),T_e),c_Relation_Oconverse(T_d,T_c)),V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Transitive__Closure_Otrancl(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)) = hAPP(c_Relation_Oconverse(T_c,T_c),c_Transitive__Closure_Otrancl(T_c,V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Transitive__Closure_Ortrancl(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)) = hAPP(c_Relation_Oconverse(T_c,T_c),c_Transitive__Closure_Ortrancl(T_c,V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_wf__converse__trancl,axiom,
% 206.97/207.84 ! [V_r_2,T_c] :
% 206.97/207.84 ( c_Wellfounded_Owf(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))
% 206.97/207.84 => c_Wellfounded_Owf(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),c_Transitive__Closure_Otrancl(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_equiv__comp__eq,axiom,
% 206.97/207.84 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.84 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.84 => hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)),V_r_2) = V_r_2 ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Range__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_c,T_d] : hAPP(c_Relation_ORange(T_d,T_c),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) = hAPP(c_Relation_ODomain(T_c,T_d),V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Domain__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_d,T_c] : hAPP(c_Relation_ODomain(T_c,T_d),hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2)) = hAPP(c_Relation_ORange(T_d,T_c),V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Range__def,axiom,
% 206.97/207.84 ! [V_r_2,T_c,T_d] : hAPP(c_Relation_ORange(T_d,T_c),V_r_2) = hAPP(c_Relation_ODomain(T_c,T_d),hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__converseI,axiom,
% 206.97/207.84 ! [V_r_2,V_x_2,V_y_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__converseD,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__converseI,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_c,T_c),c_Transitive__Closure_Otrancl(T_c,V_r_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__converseD,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_c,T_c),c_Transitive__Closure_Otrancl(T_c,V_r_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Image__subset__eq,axiom,
% 206.97/207.84 ! [V_B_2,V_A_2,V_r_2,T_d,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_d,T_c,V_r_2),V_A_2)),V_B_2))
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_d,hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2))))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_refl__on__comp__subset,axiom,
% 206.97/207.84 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.84 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)),V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_comp__equivI,axiom,
% 206.97/207.84 ! [V_A_2,V_r_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)),V_r_2) = V_r_2
% 206.97/207.84 => ( hAPP(c_Relation_ODomain(T_c,T_c),V_r_2) = V_A_2
% 206.97/207.84 => c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_finite__acyclic__wf__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_c)),V_r_2))
% 206.97/207.84 => ( c_Wellfounded_Oacyclic(T_c,V_r_2)
% 206.97/207.84 => c_Wellfounded_Owf(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__def,axiom,
% 206.97/207.84 ! [V_r_2,T_c,T_d] : hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),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_r_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Image__INT__eq,axiom,
% 206.97/207.84 ! [V_B_2,T_e,V_A_2,V_r_2,T_d,T_c] :
% 206.97/207.84 ( c_Relation_Osingle__valued(T_c,T_d,hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2))
% 206.97/207.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_e,tc_HOL_Obool))
% 206.97/207.84 => hAPP(c_Relation_OImage(T_d,T_c,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_e),c_Relation_OImage(T_d,T_c,V_r_2)),V_B_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_reflcl__set__eq,axiom,
% 206.97/207.84 ! [V_y_2,V_x_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,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_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_c,tc_HOL_Obool)),T_c),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),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_c),c_member(tc_prod(T_c,T_c)))),c_Product__Type_OPair(T_c,T_c)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_c)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_IdI,axiom,
% 206.97/207.84 ! [V_a_2,T_c] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_a_2)),c_Relation_OId(T_c))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converse__Id,axiom,
% 206.97/207.84 ! [T_c] : hAPP(c_Relation_Oconverse(T_c,T_c),c_Relation_OId(T_c)) = c_Relation_OId(T_c) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_single__valued__subset,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_d,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.84 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 206.97/207.84 => c_Relation_Osingle__valued(T_c,T_d,V_r_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_single__valued__rel__comp,axiom,
% 206.97/207.84 ! [V_s_2,T_e,V_r_2,T_d,T_c] :
% 206.97/207.84 ( c_Relation_Osingle__valued(T_c,T_d,V_r_2)
% 206.97/207.84 => ( c_Relation_Osingle__valued(T_d,T_e,V_s_2)
% 206.97/207.84 => c_Relation_Osingle__valued(T_c,T_e,hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_e),V_r_2),V_s_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_single__valued__Id,axiom,
% 206.97/207.84 ! [T_c] : c_Relation_Osingle__valued(T_c,T_c,c_Relation_OId(T_c)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Image__Id,axiom,
% 206.97/207.84 ! [V_A_2,T_c] : hAPP(c_Relation_OImage(T_c,T_c,c_Relation_OId(T_c)),V_A_2) = V_A_2 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Id__O__R,axiom,
% 206.97/207.84 ! [V_R_2,T_d,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_d),c_Relation_OId(T_c)),V_R_2) = V_R_2 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_R__O__Id,axiom,
% 206.97/207.84 ! [V_R_2,T_d,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_d),V_R_2),c_Relation_OId(T_d)) = V_R_2 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_single__valued__Id__on,axiom,
% 206.97/207.84 ! [V_A_2,T_c] : c_Relation_Osingle__valued(T_c,T_c,c_Relation_OId__on(T_c,V_A_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_pair__in__Id__conv,axiom,
% 206.97/207.84 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Relation_OId(T_c)))
% 206.97/207.84 <=> V_a_2 = V_b_2 ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Domain__Id,axiom,
% 206.97/207.84 ! [T_c] : hAPP(c_Relation_ODomain(T_c,T_c),c_Relation_OId(T_c)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__empty,axiom,
% 206.97/207.84 ! [T_c] : c_Transitive__Closure_Ortrancl(T_c,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))) = c_Relation_OId(T_c) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Range__Id,axiom,
% 206.97/207.84 ! [T_c] : hAPP(c_Relation_ORange(T_c,T_c),c_Relation_OId(T_c)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__reflcl,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : c_Transitive__Closure_Ortrancl(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_c))) = c_Transitive__Closure_Ortrancl(T_c,V_R_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__reflcl__absorb,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_c,V_R_2)),c_Relation_OId(T_c)) = c_Transitive__Closure_Ortrancl(T_c,V_R_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_refl__Id,axiom,
% 206.97/207.84 ! [T_c] : c_Relation_Orefl__on(T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Relation_OId(T_c)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__r__diff__Id,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Transitive__Closure_Ortrancl(T_c,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_c))) = c_Transitive__Closure_Ortrancl(T_c,V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_single__valuedD,axiom,
% 206.97/207.84 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_d,T_c] :
% 206.97/207.84 ( c_Relation_Osingle__valued(T_c,T_d,V_r_2)
% 206.97/207.84 => ( 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)),V_r_2))
% 206.97/207.84 => ( 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_z_2)),V_r_2))
% 206.97/207.84 => V_y_2 = V_z_2 ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_single__valued__def,axiom,
% 206.97/207.84 ! [V_r_2,T_d,T_c] :
% 206.97/207.84 ( c_Relation_Osingle__valued(T_c,T_d,V_r_2)
% 206.97/207.84 <=> ! [B_x,B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)),V_r_2))
% 206.97/207.84 => ! [B_z] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_z)),V_r_2))
% 206.97/207.84 => B_y = B_z ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_pair__leq__def,axiom,
% 206.97/207.84 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))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_reflcl__trancl,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_c,V_r_2)),c_Relation_OId(T_c)) = c_Transitive__Closure_Ortrancl(T_c,V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__reflcl,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Transitive__Closure_Otrancl(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_c))) = c_Transitive__Closure_Ortrancl(T_c,V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__unfold,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Transitive__Closure_Ortrancl(T_c,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Relation_OId(T_c)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),c_Transitive__Closure_Ortrancl(T_c,V_r_2)),V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_refl__reflcl,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Relation_Orefl__on(T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_c))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Id__def,axiom,
% 206.97/207.84 ! [T_c] : c_Relation_OId(T_c) = hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_c,T_c)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBC(tc_prod(T_c,T_c),tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(T_c,tc_HOL_Obool)),tc_prod(T_c,T_c)),c_COMBB(tc_prod(T_c,T_c),tc_HOL_Obool,T_c)),c_fequal)),hAPP(hAPP(c_COMBS(T_c,T_c,tc_prod(T_c,T_c)),c_Product__Type_OPair(T_c,T_c)),c_COMBI(T_c))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_irrefl__diff__Id,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Relation_Oirrefl(T_c,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_c))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_single__valued__confluent,axiom,
% 206.97/207.84 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c] :
% 206.97/207.84 ( c_Relation_Osingle__valued(T_c,T_c,V_r_2)
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2))) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Image__Int__eq,axiom,
% 206.97/207.84 ! [V_B_2,V_A_2,V_R_2,T_d,T_c] :
% 206.97/207.84 ( c_Relation_Osingle__valued(T_c,T_d,hAPP(c_Relation_Oconverse(T_d,T_c),V_R_2))
% 206.97/207.84 => hAPP(c_Relation_OImage(T_d,T_c,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,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_Relation_OImage(T_d,T_c,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_d,T_c,V_R_2),V_B_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__Int__subset,axiom,
% 206.97/207.84 ! [V_r_2,V_s_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Relation_OId(T_c)),V_s_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)),V_s_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_total__on__diff__Id,axiom,
% 206.97/207.84 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.84 ( c_Relation_Ototal__on(T_c,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_c)))
% 206.97/207.84 <=> c_Relation_Ototal__on(T_c,V_A_2,V_r_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 206.97/207.84 ! [V_R_2,V_p_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),c_Transitive__Closure_Ortrancl(T_c,V_R_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_c,T_c),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_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_single__valued__rel__pow,axiom,
% 206.97/207.84 ! [V_n_2,V_R_2,T_c] :
% 206.97/207.84 ( c_Relation_Osingle__valued(T_c,T_c,V_R_2)
% 206.97/207.84 => c_Relation_Osingle__valued(T_c,T_c,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_comp__funpow,axiom,
% 206.97/207.84 ! [V_f_2,V_n_2,T_d,T_c] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),V_n_2),c_Fun_Ocomp(T_d,T_d,T_c,V_f_2)) = c_Fun_Ocomp(T_d,T_d,T_c,hAPP(hAPP(c_Nat_Ocompow(T_d,T_d),V_n_2),V_f_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_wf__exp,axiom,
% 206.97/207.84 ! [V_R_2,V_n_2,T_c] :
% 206.97/207.84 ( c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2))
% 206.97/207.84 => c_Wellfounded_Owf(T_c,V_R_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_funpow__mult,axiom,
% 206.97/207.84 ! [V_f_2,V_m_2,V_n_2,T_c] : hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_funpow__swap1,axiom,
% 206.97/207.84 ! [V_x_2,V_n_2,T_c,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__1,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__commute,axiom,
% 206.97/207.84 ! [V_n_2,V_R_2,T_c] : hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__imp__rtrancl,axiom,
% 206.97/207.84 ! [V_R_2,V_n_2,V_p_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),c_Transitive__Closure_Ortrancl(T_c,V_R_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__power,axiom,
% 206.97/207.84 ! [V_R_2,V_p_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),c_Transitive__Closure_Ortrancl(T_c,V_R_2)))
% 206.97/207.84 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_relpow_Osimps_I2_J,axiom,
% 206.97/207.84 ! [V_R_2,V_n_2,T_c] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__add,axiom,
% 206.97/207.84 ! [V_R_2,V_n_2,V_m_2,T_c] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),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_c,T_c,T_c),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_relpow_Osimps_I1_J,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_c) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_total__on__empty,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_Relation_Ototal__on(T_c,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)),V_r_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_total__on__converse,axiom,
% 206.97/207.84 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.84 ( c_Relation_Ototal__on(T_c,V_A_2,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))
% 206.97/207.84 <=> c_Relation_Ototal__on(T_c,V_A_2,V_r_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__0__I,axiom,
% 206.97/207.84 ! [V_R_2,V_x_2,T_c] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__0__E,axiom,
% 206.97/207.84 ! [V_R_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 206.97/207.84 => V_x_2 = V_y_2 ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__Suc__I2,axiom,
% 206.97/207.84 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_R_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__Suc__I,axiom,
% 206.97/207.84 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),V_z_2)),V_R_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_funpow_Osimps_I2_J,axiom,
% 206.97/207.84 ! [V_f_2,V_n_2,T_c] : hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_funpow__add,axiom,
% 206.97/207.84 ! [V_f_2,V_n_2,V_m_2,T_c] : hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_funpow_Osimps_I1_J,axiom,
% 206.97/207.84 ! [V_f_2,T_c] : hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_c) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_trancl__power,axiom,
% 206.97/207.84 ! [V_R_2,V_p_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),c_Transitive__Closure_Otrancl(T_c,V_R_2)))
% 206.97/207.84 <=> ? [B_n] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_total__on__def,axiom,
% 206.97/207.84 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.84 ( c_Relation_Ototal__on(T_c,V_A_2,V_r_2)
% 206.97/207.84 <=> ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.84 => ! [B_xa] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_A_2))
% 206.97/207.84 => ( B_x != B_xa
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_xa)),V_r_2))
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 206.97/207.84 ! [V_R_2,T_c] : c_Transitive__Closure_Ortrancl(T_c,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_c,T_c),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_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool)),V_R_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_funpow__code__def,axiom,
% 206.97/207.84 ! [T_c] : c_Nat_Ofunpow(T_c) = c_Nat_Ocompow(T_c,T_c) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__E2,axiom,
% 206.97/207.84 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)))
% 206.97/207.84 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => V_x_2 != V_z_2 )
% 206.97/207.84 => ~ ! [B_y,B_m] :
% 206.97/207.84 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),B_y)),V_R_2))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__E,axiom,
% 206.97/207.84 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)))
% 206.97/207.84 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => V_x_2 != V_z_2 )
% 206.97/207.84 => ~ ! [B_y,B_m] :
% 206.97/207.84 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),B_m),V_R_2)))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_acyclicI,axiom,
% 206.97/207.84 ! [V_r_2,T_c] :
% 206.97/207.84 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x)),c_Transitive__Closure_Otrancl(T_c,V_r_2)))
% 206.97/207.84 => c_Wellfounded_Oacyclic(T_c,V_r_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 206.97/207.84 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 206.97/207.84 => ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,V_Pa_2)))
% 206.97/207.84 => ! [B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),B_x)),V_Qa_2))
% 206.97/207.84 => B_y = B_x ) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,V_Pa_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__Un__separatorE,axiom,
% 206.97/207.84 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 206.97/207.84 => ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_c,V_Pa_2)))
% 206.97/207.84 => ! [B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_y)),V_Qa_2))
% 206.97/207.84 => B_x = B_y ) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_c,V_Pa_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__Suc__D2,axiom,
% 206.97/207.84 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 206.97/207.84 => ? [B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),B_y)),V_R_2))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__Suc__E2,axiom,
% 206.97/207.84 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 206.97/207.84 => ~ ! [B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),B_y)),V_R_2))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__pow__Suc__E,axiom,
% 206.97/207.84 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 206.97/207.84 => ~ ! [B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_c,T_c),tc_HOL_Obool),V_n_2),V_R_2)))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),V_z_2)),V_R_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_tranclD2,axiom,
% 206.97/207.84 ! [V_R_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_c,V_R_2)))
% 206.97/207.84 => ? [B_z] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_c,V_R_2)))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_z),V_y_2)),V_R_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_tranclD,axiom,
% 206.97/207.84 ! [V_R_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_c,V_R_2)))
% 206.97/207.84 => ? [B_z] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),B_z)),V_R_2))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,V_R_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_IdE,axiom,
% 206.97/207.84 ! [V_p_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),V_p_2),c_Relation_OId(T_c)))
% 206.97/207.84 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nat__intermed__int__val,axiom,
% 206.97/207.84 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 206.97/207.84 ( ! [B_i] :
% 206.97/207.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 206.97/207.84 => 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))) )
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 206.97/207.84 => ? [B_i] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 206.97/207.84 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_mod__div__decomp,axiom,
% 206.97/207.84 ! [V_b,V_a,T_a] :
% 206.97/207.84 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.84 => 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)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_wf__eq__minimal,axiom,
% 206.97/207.84 ! [V_r_2,T_c] :
% 206.97/207.84 ( c_Wellfounded_Owf(T_c,V_r_2)
% 206.97/207.84 <=> ! [B_Q] :
% 206.97/207.84 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_c),B_x),B_Q))
% 206.97/207.84 => ? [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),B_Q))
% 206.97/207.84 & ! [B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),B_x)),V_r_2))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_y),B_Q)) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_transfer__nat__int__set__cong,axiom,
% 206.97/207.84 ! [V_P_Ha_2,V_Pa_2] :
% 206.97/207.84 ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 206.97/207.84 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.84 <=> hBOOL(hAPP(V_P_Ha_2,B_x)) ) )
% 206.97/207.84 => 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)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Int__Collect__mono,axiom,
% 206.97/207.84 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.84 => ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.84 => hBOOL(hAPP(V_Qa_2,B_x)) ) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_c),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_c),V_Qa_2)))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_UnionE,axiom,
% 206.97/207.84 ! [V_C_2,V_A_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_C_2)))
% 206.97/207.84 => ~ ! [B_X] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_A_2),B_X))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rel__compE,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_e,V_xz_2,T_d,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_e,T_d),V_r_2),V_s_2)))
% 206.97/207.84 => ~ ! [B_x,B_y,B_z] :
% 206.97/207.84 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_z)
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_e),B_x),B_y)),V_r_2))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_e,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_e,T_d),B_y),B_z)),V_s_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_converseE,axiom,
% 206.97/207.84 ! [V_r_2,V_yx_2,T_d,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),V_yx_2),hAPP(c_Relation_Oconverse(T_d,T_c),V_r_2)))
% 206.97/207.84 => ~ ! [B_x,B_y] :
% 206.97/207.84 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_y),B_x)
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_x),B_y)),V_r_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 206.97/207.84 ! [V_r_2,V_q_2,T_c] : c_Nitpick_Oplus__frac(T_c,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_c),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_c),V_q_2),hAPP(c_Nitpick_Odenom(T_c),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_c),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_c),tc_Int_Oint),c_Nitpick_Ofrac(T_c)),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_c),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_c),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_c),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_c),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_setprod__pos,axiom,
% 206.97/207.84 ! [V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.84 ( class_Rings_Olinordered__semidom(T_d)
% 206.97/207.84 => ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_d),c_Groups_Ozero__class_Ozero(T_d)),hAPP(V_f_2,B_x))) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_d),c_Groups_Ozero__class_Ozero(T_d)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 206.97/207.84 ! [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))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Oof__frac__def,axiom,
% 206.97/207.84 ! [V_q,T_a,T_b] :
% 206.97/207.84 ( ( class_Rings_Oinverse(T_b)
% 206.97/207.84 & class_Rings_Oring__1(T_b) )
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 206.97/207.84 ! [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))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Oless__frac__def,axiom,
% 206.97/207.84 ! [V_r_2,V_q_2,T_c] :
% 206.97/207.84 ( c_Nitpick_Oless__frac(T_c,V_q_2,V_r_2)
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_c),c_Nitpick_Oplus__frac(T_c,V_q_2,c_Nitpick_Ouminus__frac(T_c,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 206.97/207.84 ! [V_r_2,V_q_2,T_c] :
% 206.97/207.84 ( c_Nitpick_Oless__eq__frac(T_c,V_q_2,V_r_2)
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_c),c_Nitpick_Oplus__frac(T_c,V_q_2,c_Nitpick_Ouminus__frac(T_c,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Onum__def,axiom,
% 206.97/207.84 ! [T_c] : c_Nitpick_Onum(T_c) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_c,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_c)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Odenom__def,axiom,
% 206.97/207.84 ! [T_c] : c_Nitpick_Odenom(T_c) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_c,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_c)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_internal__split__def,axiom,
% 206.97/207.84 ! [T_e,T_d,T_c] : c_Product__Type_Ointernal__split(T_c,T_d,T_e) = c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_setprod__nonneg,axiom,
% 206.97/207.84 ! [V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.84 ( class_Rings_Olinordered__semidom(T_d)
% 206.97/207.84 => ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),c_Groups_Ozero__class_Ozero(T_d)),hAPP(V_f_2,B_x))) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),c_Groups_Ozero__class_Ozero(T_d)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_internal__split__conv,axiom,
% 206.97/207.84 ! [V_b_2,V_a_2,V_c_2,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_d,T_e,T_c),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_bool_Osize_I1_J,axiom,
% 206.97/207.84 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_bool_Osize_I2_J,axiom,
% 206.97/207.84 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_finite__less__ub,axiom,
% 206.97/207.84 ! [V_u_2,V_f_2] :
% 206.97/207.84 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 206.97/207.84 => 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)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lenlex__def,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_List_Olenlex(T_c,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_c)),tc_List_Olist(T_c)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_c),c_Wellfounded_Oless__than,c_List_Olex(T_c,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_prod(tc_Nat_Onat,tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_c),tc_prod(tc_Nat_Onat,tc_List_Olist(T_c))),tc_List_Olist(T_c)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_c))),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),c_COMBI(tc_List_Olist(T_c)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_neq__if__length__neq,axiom,
% 206.97/207.84 ! [V_ys,V_xs,T_a] :
% 206.97/207.84 ( 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)
% 206.97/207.84 => V_xs != V_ys ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexn__length,axiom,
% 206.97/207.84 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_c,V_r_2),V_n_2)))
% 206.97/207.84 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = V_n_2
% 206.97/207.84 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) = V_n_2 ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lenlex__conv,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_List_Olenlex(T_c,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_List_Olist(T_c)),c_COMBS(tc_List_Olist(T_c),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_c)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_Nat_Onat),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_c),tc_Nat_Onat),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_List_Olist(T_c)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_c)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_List_Olist(T_c)),c_COMBS(tc_List_Olist(T_c),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_c)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_Nat_Onat),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_c),tc_Nat_Onat),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_List_Olist(T_c)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_c)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_List_Olist(T_c)),c_COMBC(tc_List_Olist(T_c),tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),tc_fun(tc_List_Olist(T_c),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_c)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_c)),c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))))),c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c))))),c_List_Olex(T_c,V_r_2)))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__sublist,axiom,
% 206.97/207.84 ! [V_I_2,V_xs_2,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_Osublist(T_c,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_c)),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)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexn_Osimps_I2_J,axiom,
% 206.97/207.84 ! [V_n_2,V_r_2,T_c] : hAPP(c_List_Olexn(T_c,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_c),tc_List_Olist(T_c)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_c,tc_List_Olist(T_c)),tc_prod(T_c,tc_List_Olist(T_c))),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_Product__Type_Omap__pair(tc_prod(T_c,tc_List_Olist(T_c)),tc_List_Olist(T_c),tc_prod(T_c,tc_List_Olist(T_c)),tc_List_Olist(T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_OCons(T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_OCons(T_c)))),c_Wellfounded_Olex__prod(T_c,tc_List_Olist(T_c),V_r_2,hAPP(c_List_Olexn(T_c,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_List_Olist(T_c)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),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_c)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),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_c)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_impossible__Cons,axiom,
% 206.97/207.84 ! [V_x,V_ys,V_xs,T_a] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_not__Cons__self,axiom,
% 206.97/207.84 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_not__Cons__self2,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list_Oinject,axiom,
% 206.97/207.84 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_H_2),V_list_H_2)
% 206.97/207.84 <=> ( V_a_2 = V_a_H_2
% 206.97/207.84 & V_list_2 = V_list_H_2 ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list_Osize_I4_J,axiom,
% 206.97/207.84 ! [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))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Cons__in__lex,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))),c_List_Olex(T_c,V_r_2)))
% 206.97/207.84 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2))
% 206.97/207.84 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) )
% 206.97/207.84 | ( V_x_2 = V_y_2
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olex(T_c,V_r_2))) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__Cons__def,axiom,
% 206.97/207.84 ! [V_XS_2,V_A_2,T_c] : c_List_Oset__Cons(T_c,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_c)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),tc_List_Olist(T_c)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_List_Olist(T_c)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))),tc_fun(tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))),tc_List_Olist(T_c)),c_COMBS(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_c,tc_fun(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))),tc_List_Olist(T_c)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),T_c),c_COMBS(tc_List_Olist(T_c),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_c)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_c)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c))),tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c))),tc_fun(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))),tc_List_Olist(T_c)),c_COMBB(tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_List_Olist(T_c)),c_COMBB(tc_List_Olist(T_c),tc_HOL_Obool,tc_List_Olist(T_c))),c_fequal))),c_List_Olist_OCons(T_c)))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),T_c),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c))),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_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_c))),V_XS_2)))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_pick_Osimps,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_a,V_i] :
% 206.97/207.84 ( ( 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)))
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( ~ 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)))
% 206.97/207.84 => 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))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_select__weight__cons__zero,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] : c_Random_Oselect__weight(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_c),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_c,V_xs_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__cons__cons,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_b_2),V_y_2))),c_List_Olexord(T_c,V_r_2)))
% 206.97/207.84 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.84 | ( V_a_2 = V_b_2
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_y_2)),c_List_Olexord(T_c,V_r_2))) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__lex,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_y_2)),c_List_Olex(T_c,V_r_2)))
% 206.97/207.84 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_y_2)),c_List_Olexord(T_c,V_r_2)))
% 206.97/207.84 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_y_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2)))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list_Osize_I2_J,axiom,
% 206.97/207.84 ! [V_list_2,V_a_2,V_fa_2,T_c] : c_List_Olist_Olist__size(T_c,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),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_c,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Cons__acc__listrel1I,axiom,
% 206.97/207.84 ! [V_xs_2,V_r_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),c_Wellfounded_Oacc(T_c,V_r_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2)))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1__mono,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool)),c_List_Olistrel1(T_c,V_r_2)),c_List_Olistrel1(T_c,V_s_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool)),c_List_Olistrel1(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1__converse,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_List_Olistrel1(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olistrel1(T_c,V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 206.97/207.84 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1I2,axiom,
% 206.97/207.84 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_ys_2))),c_List_Olistrel1(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2))))
% 206.97/207.84 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_y_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1__eq__len,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_c,V_r_2)))
% 206.97/207.84 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__listrel1__converse,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_y_2)),c_List_Olistrel1(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))))
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olistrel1(T_c,V_r_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1I1,axiom,
% 206.97/207.84 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_xs_2))),c_List_Olistrel1(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Cons__listrel1__Cons,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))),c_List_Olistrel1(T_c,V_r_2)))
% 206.97/207.84 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2))
% 206.97/207.84 & V_xs_2 = V_ys_2 )
% 206.97/207.84 | ( V_x_2 = V_y_2
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_c,V_r_2))) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__Cons,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,V_r_2,T_c] : hAPP(c_Relation_OImage(tc_List_Olist(T_c),tc_List_Olist(T_c),c_List_Olistrel(T_c,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)))) = c_List_Oset__Cons(T_c,hAPP(c_Relation_OImage(T_c,T_c,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_c),tc_List_Olist(T_c),c_List_Olistrel(T_c,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_c)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__irreflexive,axiom,
% 206.97/207.84 ! [V_y_2,V_r_2,T_c] :
% 206.97/207.84 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_x)),V_r_2))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_y_2),V_y_2)),c_List_Olexord(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__rtrancl__refl,axiom,
% 206.97/207.84 ! [V_r_2,V_xs_2,T_c] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_xs_2)),c_List_Olistrel(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__mono,axiom,
% 206.97/207.84 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool)),c_List_Olistrel(T_c,V_r_2)),c_List_Olistrel(T_c,V_s_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool)),c_List_Olistrel(T_c,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__eq__len,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel(T_c,V_r_2)))
% 206.97/207.84 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__rtrancl__trans,axiom,
% 206.97/207.84 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2))))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_ys_2),V_zs_2)),c_List_Olistrel(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_zs_2)),c_List_Olistrel(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2)))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_List_Olistrel(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1__subset__listrel,axiom,
% 206.97/207.84 ! [V_r_H_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 206.97/207.84 => ( c_Relation_Orefl__on(T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_r_H_2)
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool)),c_List_Olistrel1(T_c,V_r_2)),c_List_Olistrel(T_c,V_r_H_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel_OCons,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))),c_List_Olistrel(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrelp__listrel__eq,axiom,
% 206.97/207.84 ! [V_xa_2,V_x_2,V_r_2,T_c] :
% 206.97/207.84 ( c_List_Olistrelp(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,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_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_c,tc_HOL_Obool)),T_c),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),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_c),c_member(tc_prod(T_c,T_c)))),c_Product__Type_OPair(T_c,T_c)))),V_r_2),V_x_2,V_xa_2)
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_xa_2)),c_List_Olistrel(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__Cons2,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))),c_List_Olistrel(T_c,V_r_2)))
% 206.97/207.84 => ~ ! [B_x,B_xs] :
% 206.97/207.84 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),B_x),B_xs)
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),V_y_2)),V_r_2))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),B_xs),V_ys_2)),c_List_Olistrel(T_c,V_r_2))) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrelp_OCons,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,T_c,V_y_2,V_x_2,V_r_2] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 206.97/207.84 => ( c_List_Olistrelp(T_c,V_r_2,V_xs_2,V_ys_2)
% 206.97/207.84 => c_List_Olistrelp(T_c,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrelp_Oequations_I2_J,axiom,
% 206.97/207.84 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_c] :
% 206.97/207.84 ( c_List_Olistrelp(T_c,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a2_2),V_a4_2))
% 206.97/207.84 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 206.97/207.84 & c_List_Olistrelp(T_c,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__Cons1,axiom,
% 206.97/207.84 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_c,V_r_2)))
% 206.97/207.84 => ~ ! [B_y,B_ys] :
% 206.97/207.84 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),B_y),B_ys)
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_2),B_y)),V_r_2))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_ys_2),B_ys)),c_List_Olistrel(T_c,V_r_2))) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__subset,axiom,
% 206.97/207.84 ! [V_A_2,V_r_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_c),V_A_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_HOL_Obool)),c_List_Olistrel(T_c,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olists(T_c,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_List_Olist(T_c)),c_List_Olists(T_c,V_A_2))))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lists__UNIV,axiom,
% 206.97/207.84 ! [T_c] : c_List_Olists(T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lists__mono,axiom,
% 206.97/207.84 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),c_List_Olists(T_c,V_A_2)),c_List_Olists(T_c,V_B_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_equiv__listrel,axiom,
% 206.97/207.84 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.84 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.84 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_c),c_List_Olists(T_c,V_A_2),c_List_Olistrel(T_c,V_r_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__refl__on,axiom,
% 206.97/207.84 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.84 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.84 => c_Relation_Orefl__on(tc_List_Olist(T_c),c_List_Olists(T_c,V_A_2),c_List_Olistrel(T_c,V_r_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Cons__in__lists__iff,axiom,
% 206.97/207.84 ! [V_A_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),c_List_Olists(T_c,V_A_2)))
% 206.97/207.84 <=> ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_xs_2),c_List_Olists(T_c,V_A_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lists__accD,axiom,
% 206.97/207.84 ! [V_r_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_xs_2),c_List_Olists(T_c,c_Wellfounded_Oacc(T_c,V_r_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lists__accI,axiom,
% 206.97/207.84 ! [V_r_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_c),c_List_Olistrel1(T_c,V_r_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_xs_2),c_List_Olists(T_c,c_Wellfounded_Oacc(T_c,V_r_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__iff__nth,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel(T_c,V_r_2)))
% 206.97/207.84 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 206.97/207.84 & ! [B_n] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__linear,axiom,
% 206.97/207.84 ! [V_y_2,V_x_2,V_r_2,T_c] :
% 206.97/207.84 ( ! [B_a,B_b] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_a),B_b)),V_r_2))
% 206.97/207.84 | B_a = B_b
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_b),B_a)),V_r_2)) )
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_y_2)),c_List_Olexord(T_c,V_r_2)))
% 206.97/207.84 | V_x_2 = V_y_2
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_y_2),V_x_2)),c_List_Olexord(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_infinite__UNIV__listI,axiom,
% 206.97/207.84 ! [T_c] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__eq__iff__nth__eq,axiom,
% 206.97/207.84 ! [T_c,V_ys_2,V_xs_2] :
% 206.97/207.84 ( V_xs_2 = V_ys_2
% 206.97/207.84 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 206.97/207.84 & ! [B_i] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 => hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__Cons__0,axiom,
% 206.97/207.84 ! [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 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__Cons__Suc,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth_Osimps,axiom,
% 206.97/207.84 ! [V_n_2,V_xs_2,V_x_2,T_c] : hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_c,V_x_2,hAPP(c_List_Onth(T_c),V_xs_2),V_n_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__Cons_H,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_a,V_n] :
% 206.97/207.84 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 206.97/207.84 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__Cons__number__of,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_a,V_v] :
% 206.97/207.84 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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 )
% 206.97/207.84 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__take__index__conv,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_y_2)),c_List_Olexord(T_c,V_r_2)))
% 206.97/207.84 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_y_2)))
% 206.97/207.84 & hAPP(hAPP(c_List_Otake(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_x_2)),V_y_2) = V_x_2 )
% 206.97/207.84 | ? [B_i] :
% 206.97/207.84 ( 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_c)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_y_2))))
% 206.97/207.84 & hAPP(hAPP(c_List_Otake(T_c),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_c),B_i),V_y_2)
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(hAPP(c_List_Onth(T_c),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__sublist,axiom,
% 206.97/207.84 ! [V_I_2,V_xs_2,T_c] : hAPP(c_List_Oset(T_c),c_List_Osublist(T_c,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(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)),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)),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(T_c,tc_fun(tc_Nat_Onat,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_c),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_c)),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))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_finite__set,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_List_Oset(T_c),V_xs_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__subset__Cons,axiom,
% 206.97/207.84 ! [V_x_2,V_xs_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__all,axiom,
% 206.97/207.84 ! [V_n,V_xs,T_a] :
% 206.97/207.84 ( 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))
% 206.97/207.84 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__take__subset,axiom,
% 206.97/207.84 ! [V_xs_2,V_n_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_c),V_xs_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__take__subset__set__take,axiom,
% 206.97/207.84 ! [V_xs_2,T_c,V_n_2,V_m_2] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Otake(T_c),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__sublist__subset,axiom,
% 206.97/207.84 ! [V_I_2,V_xs_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),c_List_Osublist(T_c,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_c),V_xs_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__take,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_n,V_i] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_notin__set__sublistI,axiom,
% 206.97/207.84 ! [V_I_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),c_List_Osublist(T_c,V_xs_2,V_I_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__set__takeD,axiom,
% 206.97/207.84 ! [V_xs_2,V_n_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__set__sublistD,axiom,
% 206.97/207.84 ! [V_I_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),c_List_Osublist(T_c,V_xs_2,V_I_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__ConsD,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,V_y_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))))
% 206.97/207.84 => ( V_y_2 = V_x_2
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_xs_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__Suc__Cons,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__take,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__take,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] : hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sublist__upt__eq__take,axiom,
% 206.97/207.84 ! [V_n_2,V_l_2,T_c] : c_List_Osublist(T_c,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_l_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_card__length,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_List_Oset(T_c),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_all__set__conv__all__nth,axiom,
% 206.97/207.84 ! [V_Pa_2,V_xs_2,T_c] :
% 206.97/207.84 ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.84 <=> ! [B_i] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_i))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__size__estimation,axiom,
% 206.97/207.84 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_c,V_f_2,V_xs_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__size__estimation_H,axiom,
% 206.97/207.84 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_c,V_f_2,V_xs_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__lists__conv__set,axiom,
% 206.97/207.84 ! [V_A_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_xs_2),c_List_Olists(T_c,V_A_2)))
% 206.97/207.84 <=> ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__pos__if__in__set,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => 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_c)),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__mem,axiom,
% 206.97/207.84 ! [V_xs_2,T_c,V_n_2] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_c),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__set__conv__nth,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 <=> ? [B_i] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 & hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_i) = V_x_2 ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lists__eq__set,axiom,
% 206.97/207.84 ! [V_A_2,T_c] : c_List_Olists(T_c,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_c)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_c)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool))),c_List_Oset(T_c))),V_A_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__conv__nth,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] : hAPP(c_List_Oset(T_c),V_xs_2) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(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)),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)),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(T_c,tc_fun(tc_Nat_Onat,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_c),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_c)),V_xs_2))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_finite__lists__length__eq,axiom,
% 206.97/207.84 ! [V_n_2,V_A_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_c)),hAPP(c_Set_OCollect(tc_List_Olist(T_c)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_c),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_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_c)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool))),c_List_Oset(T_c))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),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_c)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),V_n_2))))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_finite__lists__length__le,axiom,
% 206.97/207.84 ! [V_n_2,V_A_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_c)),hAPP(c_Set_OCollect(tc_List_Olist(T_c)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_c),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_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_c)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool))),c_List_Oset(T_c))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),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_c)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),V_n_2))))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__iff__zip,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel(T_c,V_r_2)))
% 206.97/207.84 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 206.97/207.84 & ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_c,T_c)),hAPP(hAPP(c_List_Ozip(T_c,T_c),V_xs_2),V_ys_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,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_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_c,tc_HOL_Obool)),T_c),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),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_c),c_member(tc_prod(T_c,T_c)))),c_Product__Type_OPair(T_c,T_c)))),V_r_2)),B_x)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__zip,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,T_d,T_c] : hAPP(c_List_Oset(tc_prod(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_c,T_d)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_c,T_d),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_c,T_d)),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_c,T_d)),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_c,T_d),tc_fun(tc_Nat_Onat,tc_prod(T_c,T_d)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_c,T_d)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_c,T_d)),c_COMBB(tc_prod(T_c,T_d),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_d,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),tc_Nat_Onat),c_Product__Type_OPair(T_c,T_d)),hAPP(c_List_Onth(T_c),V_xs_2))),hAPP(c_List_Onth(T_d),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_c)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2)))))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__zip,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__zip,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip__Cons__Cons,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__eq__iff__zip__eq,axiom,
% 206.97/207.84 ! [T_c,V_ys_2,V_xs_2] :
% 206.97/207.84 ( V_xs_2 = V_ys_2
% 206.97/207.84 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 206.97/207.84 & ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_c,T_c)),hAPP(hAPP(c_List_Ozip(T_c,T_c),V_xs_2),V_ys_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip__same,axiom,
% 206.97/207.84 ! [V_xs_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_c,T_c)),hAPP(hAPP(c_List_Ozip(T_c,T_c),V_xs_2),V_xs_2))))
% 206.97/207.84 <=> ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 & V_a_2 = V_b_2 ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__zip__leftD,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_d,T_c] :
% 206.97/207.84 ( 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(c_List_Oset(tc_prod(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__zip__rightD,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_d,T_c] :
% 206.97/207.84 ( 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(c_List_Oset(tc_prod(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_d),V_y_2),hAPP(c_List_Oset(T_d),V_ys_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__set__zipE,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_d,T_c] :
% 206.97/207.84 ( 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(c_List_Oset(tc_prod(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2))))
% 206.97/207.84 => ~ ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(T_d),V_y_2),hAPP(c_List_Oset(T_d),V_ys_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__zip,axiom,
% 206.97/207.84 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => ( 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)))
% 206.97/207.84 => 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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_greaterThanLessThan__upto,axiom,
% 206.97/207.84 ! [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)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listsum__setsum__nth,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.84 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),hAPP(c_List_Onth(T_c),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_c)),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_atLeastAtMost__upto,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__upto,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 206.97/207.84 ! [V_ns_2] :
% 206.97/207.84 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 <=> ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 206.97/207.84 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_elem__le__listsum__nat,axiom,
% 206.97/207.84 ! [V_ns,V_k] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listsum__simps_I2_J,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_a] :
% 206.97/207.84 ( class_Groups_Omonoid__add(T_a)
% 206.97/207.84 => 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)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_atLeastLessThan__upto,axiom,
% 206.97/207.84 ! [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)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_greaterThanAtMost__upto,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nat__list__def,axiom,
% 206.97/207.84 ! [V_l_2] :
% 206.97/207.84 ( c_List_Onat__list(V_l_2)
% 206.97/207.84 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__size__pointwise,axiom,
% 206.97/207.84 ! [V_g_2,V_f_2,V_xs_2,T_c] :
% 206.97/207.84 ( ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_c,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_c,V_g_2,V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listsum__update__nat,axiom,
% 206.97/207.84 ! [V_n,V_ns,V_k] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_butlast__take,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_n] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__beyond,axiom,
% 206.97/207.84 ! [V_x,V_i,V_xs,T_a] :
% 206.97/207.84 ( 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))
% 206.97/207.84 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__list__update__neq,axiom,
% 206.97/207.84 ! [V_x,V_xs,T_a,V_j,V_i] :
% 206.97/207.84 ( V_i != V_j
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__id,axiom,
% 206.97/207.84 ! [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 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__list__update,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_butlast__list__update,axiom,
% 206.97/207.84 ! [V_x,V_xs,T_a,V_k] :
% 206.97/207.84 ( ( 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))
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( 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))
% 206.97/207.84 => 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) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip__update,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_update__zip,axiom,
% 206.97/207.84 ! [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))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__overwrite,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__swap,axiom,
% 206.97/207.84 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 206.97/207.84 ( V_i != V_i_H
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update_Osimps_I2_J,axiom,
% 206.97/207.84 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_c] : hAPP(hAPP(c_List_Olist__update(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_c),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_c,tc_List_Olist(T_c)),c_List_Olist__update(T_c,V_xs_2)),V_v_2)),V_i_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__code_I2_J,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__code_I3_J,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__set__butlastD,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),c_List_Obutlast(T_c,V_xs_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__update__subsetI,axiom,
% 206.97/207.84 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),V_A_2))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__update__subset__insert,axiom,
% 206.97/207.84 ! [V_x_2,V_i_2,V_xs_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__list__update,axiom,
% 206.97/207.84 ! [V_x,V_j,V_xs,T_a,V_i] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => ( ( V_i = V_j
% 206.97/207.84 => 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 )
% 206.97/207.84 & ( V_i != V_j
% 206.97/207.84 => 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) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__same__conv,axiom,
% 206.97/207.84 ! [V_x_2,V_xs_2,T_c,V_i_2] :
% 206.97/207.84 ( 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_xs_2)))
% 206.97/207.84 => ( hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 206.97/207.84 <=> hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__list__update__eq,axiom,
% 206.97/207.84 ! [V_x,V_xs,T_a,V_i] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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 ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__butlast,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_n] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__butlast,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__update__memI,axiom,
% 206.97/207.84 ! [V_x_2,V_xs_2,T_c,V_n_2] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_n_2),V_x_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_butlast__conv__take,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1__iff__update,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_c,V_r_2)))
% 206.97/207.84 <=> ? [B_y,B_n] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_n)),B_y)),V_r_2))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),B_n),B_y) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__list__update,axiom,
% 206.97/207.84 ! [V_i_2,V_a_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__upto,axiom,
% 206.97/207.84 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__take,axiom,
% 206.97/207.84 ! [V_i,V_xs,T_a] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__sublistI,axiom,
% 206.97/207.84 ! [V_I_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(T_c),c_List_Osublist(T_c,V_xs_2,V_I_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__zipI1,axiom,
% 206.97/207.84 ! [V_ys,T_b,V_xs,T_a] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__zipI2,axiom,
% 206.97/207.84 ! [V_xs,T_b,V_ys,T_a] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct_Osimps_I2_J,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)))
% 206.97/207.84 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 & hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_card__distinct,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_List_Oset(T_c),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__card,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.84 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_List_Oset(T_c),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__conv__nth,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.84 <=> ! [B_i] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 => ! [B_j] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 => ( B_i != B_j
% 206.97/207.84 => hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_j) ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__eq__iff__index__eq,axiom,
% 206.97/207.84 ! [V_j_2,V_i_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.84 => ( 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_xs_2)))
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.84 => ( hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_j_2)
% 206.97/207.84 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.84 => ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.84 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_COMBI(T_c)),hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nitpick_Ocard_H__def,axiom,
% 206.97/207.84 ! [V_A_2,T_c] :
% 206.97/207.84 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => c_Nitpick_Ocard_H(T_c,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_Hilbert__Choice_OEps(tc_List_Olist(T_c),hAPP(hAPP(c_COMBS(tc_List_Olist(T_c),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_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_c)),c_fequal),c_List_Oset(T_c))),V_A_2))),c_List_Odistinct(T_c)))) )
% 206.97/207.84 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => c_Nitpick_Ocard_H(T_c,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__take__lemma,axiom,
% 206.97/207.84 ! [V_ys,V_xs,T_a,V_k] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => ( 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)))
% 206.97/207.84 => ( ! [B_i] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 206.97/207.84 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 206.97/207.84 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__remove1__eq,axiom,
% 206.97/207.84 ! [V_x_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.84 => hAPP(c_List_Oset(T_c),c_List_Oremove1(T_c,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__Cons__number__of,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_a,V_v] :
% 206.97/207.84 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lists_ONil,axiom,
% 206.97/207.84 ! [V_A_2,T_c] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),c_List_Olists(T_c,V_A_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__Nil1,axiom,
% 206.97/207.84 ! [V_r_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),V_xs_2)),c_List_Olistrel(T_c,V_r_2)))
% 206.97/207.84 => V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__Nil2,axiom,
% 206.97/207.84 ! [V_r_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),c_List_Olist_ONil(T_c))),c_List_Olistrel(T_c,V_r_2)))
% 206.97/207.84 => V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__butlast,axiom,
% 206.97/207.84 ! [T_a,V_xs] :
% 206.97/207.84 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__remove1,axiom,
% 206.97/207.84 ! [V_x,V_xs,T_a] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct_Osimps_I1_J,axiom,
% 206.97/207.84 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_butlast_Osimps_I1_J,axiom,
% 206.97/207.84 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_butlast_Osimps_I2_J,axiom,
% 206.97/207.84 ! [V_x,T_a,V_xs] :
% 206.97/207.84 ( ( V_xs = c_List_Olist_ONil(T_a)
% 206.97/207.84 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 206.97/207.84 & ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list_Osimps_I2_J,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list_Osimps_I3_J,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_remove1_Osimps_I2_J,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_y,V_x] :
% 206.97/207.84 ( ( V_x = V_y
% 206.97/207.84 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 206.97/207.84 & ( V_x != V_y
% 206.97/207.84 => 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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_upto__empty,axiom,
% 206.97/207.84 ! [V_i,V_j] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 206.97/207.84 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__eq__Nil,axiom,
% 206.97/207.84 ! [V_xs_2,V_n_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2) = c_List_Olist_ONil(T_c)
% 206.97/207.84 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 | V_xs_2 = c_List_Olist_ONil(T_c) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__0,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__Nil,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sublist__nil,axiom,
% 206.97/207.84 ! [V_A_2,T_c] : c_List_Osublist(T_c,c_List_Olist_ONil(T_c),V_A_2) = c_List_Olist_ONil(T_c) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_remove1__commute,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_remove1_Osimps_I1_J,axiom,
% 206.97/207.84 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrelp_Oequations_I1_J,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_List_Olistrelp(T_c,V_r_2,c_List_Olist_ONil(T_c),c_List_Olist_ONil(T_c)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrelp_ONil,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : c_List_Olistrelp(T_c,V_r_2,c_List_Olist_ONil(T_c),c_List_Olist_ONil(T_c)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip__Nil,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip_Osimps_I1_J,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listsum__simps_I1_J,axiom,
% 206.97/207.84 ! [T_a] :
% 206.97/207.84 ( class_Groups_Omonoid__add(T_a)
% 206.97/207.84 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__0__conv,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list_Osize_I3_J,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__empty,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(c_List_Oset(T_c),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.84 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__empty2,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) = hAPP(c_List_Oset(T_c),V_xs_2)
% 206.97/207.84 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 206.97/207.84 ! [T_c] : hAPP(c_List_Oset(T_c),c_List_Olist_ONil(T_c)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list_Osize_I1_J,axiom,
% 206.97/207.84 ! [V_fa_2,T_c] : c_List_Olist_Olist__size(T_c,V_fa_2,c_List_Olist_ONil(T_c)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__code_I1_J,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update_Osimps_I1_J,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__nonempty,axiom,
% 206.97/207.84 ! [V_x_2,V_k_2,V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_c)
% 206.97/207.84 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_remove1__idem,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => c_List_Oremove1(T_c,V_x_2,V_xs_2) = V_xs_2 ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_notin__set__remove1,axiom,
% 206.97/207.84 ! [V_y_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),c_List_Oremove1(T_c,V_y_2,V_xs_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__set__remove1,axiom,
% 206.97/207.84 ! [V_xs_2,T_c,V_b_2,V_a_2] :
% 206.97/207.84 ( V_a_2 != V_b_2
% 206.97/207.84 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_List_Oset(T_c),c_List_Oremove1(T_c,V_b_2,V_xs_2))))
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_List_Oset(T_c),V_xs_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sublist__empty,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] : c_List_Osublist(T_c,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_c) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__remove1__subset,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),c_List_Oremove1(T_c,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_c),V_xs_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__greater__0__conv,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( 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_c)),V_xs_2)))
% 206.97/207.84 <=> V_xs_2 != c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__1__Cons,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_not__Nil__listrel1,axiom,
% 206.97/207.84 ! [V_r_2,V_xs_2,T_c] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),V_xs_2)),c_List_Olistrel1(T_c,V_r_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_not__listrel1__Nil,axiom,
% 206.97/207.84 ! [V_r_2,V_xs_2,T_c] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),c_List_Olist_ONil(T_c))),c_List_Olistrel1(T_c,V_r_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel_ONil,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),c_List_Olist_ONil(T_c))),c_List_Olistrel(T_c,V_r_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__Nil__right,axiom,
% 206.97/207.84 ! [V_r_2,V_x_2,T_c] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),c_List_Olist_ONil(T_c))),c_List_Olexord(T_c,V_r_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nil__notin__lex,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,T_c] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),V_ys_2)),c_List_Olex(T_c,V_r_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nil2__notin__lex,axiom,
% 206.97/207.84 ! [V_r_2,V_xs_2,T_c] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),c_List_Olist_ONil(T_c))),c_List_Olex(T_c,V_r_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__Cons,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,V_n_2,T_c] : hAPP(hAPP(c_List_Otake(T_c),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_c),c_List_Olist_ONil(T_c),hAPP(hAPP(c_COMBB(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_c),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Otake(T_c)),V_xs_2)),V_n_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_upto_Osimps,axiom,
% 206.97/207.84 ! [V_j,V_i] :
% 206.97/207.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 206.97/207.84 => 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)) )
% 206.97/207.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 206.97/207.84 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sublist__singleton,axiom,
% 206.97/207.84 ! [V_x_2,T_c,V_A_2] :
% 206.97/207.84 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 206.97/207.84 => c_List_Osublist(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c)) )
% 206.97/207.84 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 206.97/207.84 => c_List_Osublist(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c)),V_A_2) = c_List_Olist_ONil(T_c) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lists__empty,axiom,
% 206.97/207.84 ! [T_c] : c_List_Olists(T_c,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__Cons_H,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_a,V_n] :
% 206.97/207.84 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_upto__rec__number__of,axiom,
% 206.97/207.84 ! [V_n,V_m] :
% 206.97/207.84 ( ( 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)))
% 206.97/207.84 => 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))) )
% 206.97/207.84 & ( ~ 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)))
% 206.97/207.84 => 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) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel__Nil,axiom,
% 206.97/207.84 ! [V_r_2,T_c] : hAPP(c_Relation_OImage(tc_List_Olist(T_c),tc_List_Olist(T_c),c_List_Olistrel(T_c,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__Cons__sing__Nil,axiom,
% 206.97/207.84 ! [V_A_2,T_c] : c_List_Oset__Cons(T_c,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_c,tc_List_Olist(T_c),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_OCons(T_c)),c_List_Olist_ONil(T_c))),V_A_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__remove1,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_Oremove1(T_c,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_c)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 206.97/207.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_Oremove1(T_c,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_upto_Opsimps,axiom,
% 206.97/207.84 ! [V_j_2,V_i_2] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 206.97/207.84 => 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)) )
% 206.97/207.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 206.97/207.84 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_select,axiom,
% 206.97/207.84 ! [V_s_2,T_c,V_xs_2] :
% 206.97/207.84 ( V_xs_2 != c_List_Olist_ONil(T_c)
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Product__Type_Ofst(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_c,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_c),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listset_Osimps_I1_J,axiom,
% 206.97/207.84 ! [T_c] : c_List_Olistset(T_c,c_List_Olist_ONil(tc_fun(T_c,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip__Cons,axiom,
% 206.97/207.84 ! [V_ys_2,V_y_2,V_xs_2,T_d,T_c] : hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_d),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_c,T_d)),T_c,c_List_Olist_ONil(tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_c,T_d))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_c,T_d)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_c,T_d)),tc_List_Olist(tc_prod(T_c,T_d))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_c,T_d))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_c,T_d)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_c,T_d)),tc_List_Olist(tc_prod(T_c,T_d)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_List_Olist(tc_prod(T_c,T_d)),tc_List_Olist(tc_prod(T_c,T_d))),T_c),c_List_Olist_OCons(tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBC(T_c,T_d,tc_prod(T_c,T_d)),c_Product__Type_OPair(T_c,T_d)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_d),tc_List_Olist(tc_prod(T_c,T_d))),c_List_Ozip(T_c,T_d)),V_ys_2))),V_xs_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list_Osimps_I5_J,axiom,
% 206.97/207.84 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_d,T_c] : hAPP(c_List_Olist_Olist__case(T_c,T_d,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_d),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list_Osimps_I4_J,axiom,
% 206.97/207.84 ! [V_f2_2,V_f1_2,T_d,T_c] : hAPP(c_List_Olist_Olist__case(T_c,T_d,V_f1_2,V_f2_2),c_List_Olist_ONil(T_d)) = V_f1_2 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listset_Osimps_I2_J,axiom,
% 206.97/207.84 ! [V_As_2,V_A_2,T_c] : c_List_Olistset(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_c,V_A_2,c_List_Olistset(T_c,V_As_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip__Cons1,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,V_x_2,T_d,T_c] : hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_c,T_d)),T_d,c_List_Olist_ONil(tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_List_Olist(T_d),tc_List_Olist(tc_prod(T_c,T_d))),tc_fun(tc_List_Olist(T_d),tc_List_Olist(tc_prod(T_c,T_d)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_c,T_d)),tc_List_Olist(tc_prod(T_c,T_d))),tc_fun(tc_fun(tc_List_Olist(T_d),tc_List_Olist(tc_prod(T_c,T_d))),tc_fun(tc_List_Olist(T_d),tc_List_Olist(tc_prod(T_c,T_d)))),T_d),c_COMBB(tc_List_Olist(tc_prod(T_c,T_d)),tc_List_Olist(tc_prod(T_c,T_d)),tc_List_Olist(T_d))),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_List_Olist(tc_prod(T_c,T_d)),tc_List_Olist(tc_prod(T_c,T_d))),T_d),c_List_Olist_OCons(tc_prod(T_c,T_d))),hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2)))),hAPP(c_List_Ozip(T_c,T_d),V_xs_2))),V_ys_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sorted__list__of__set__remove,axiom,
% 206.97/207.84 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.84 ( class_Orderings_Olinorder(T_c)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => c_List_Olinorder__class_Osorted__list__of__set(T_c,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))))) = c_List_Oremove1(T_c,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_c,V_A_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_upto_Opinduct,axiom,
% 206.97/207.84 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => ( ! [B_i,B_j] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 206.97/207.84 => 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)) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sorted__list__of__set__empty,axiom,
% 206.97/207.84 ! [T_c] :
% 206.97/207.84 ( class_Orderings_Olinorder(T_c)
% 206.97/207.84 => c_List_Olinorder__class_Osorted__list__of__set(T_c,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_anamorph_Osimps,axiom,
% 206.97/207.84 ! [V_x_2,V_f_2,T_c,T_d,V_k_2] :
% 206.97/207.84 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.84 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_d,T_c,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),T_d),c_List_Olist_ONil(T_c)),V_x_2) )
% 206.97/207.84 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.84 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_d,T_c,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_c),T_d),tc_prod(T_c,T_d),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),T_d),c_List_Olist_ONil(T_c)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_prod(tc_List_Olist(T_c),T_d)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_prod(tc_List_Olist(T_c),T_d)),tc_fun(T_d,tc_prod(tc_List_Olist(T_c),T_d))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_c),T_d),tc_prod(tc_List_Olist(T_c),T_d)),tc_fun(tc_fun(T_d,tc_prod(tc_List_Olist(T_c),T_d)),tc_fun(T_d,tc_prod(tc_List_Olist(T_c),T_d))),T_c),c_COMBB(tc_prod(tc_List_Olist(T_c),T_d),tc_prod(tc_List_Olist(T_c),T_d),T_d)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_fun(T_d,tc_prod(tc_List_Olist(T_c),T_d))),tc_fun(tc_prod(tc_List_Olist(T_c),T_d),tc_prod(tc_List_Olist(T_c),T_d)),T_c),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_c),T_d,tc_prod(tc_List_Olist(T_c),T_d))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_fun(tc_List_Olist(T_c),tc_fun(T_d,tc_prod(tc_List_Olist(T_c),T_d))),T_c),hAPP(c_COMBB(tc_List_Olist(T_c),tc_fun(T_d,tc_prod(tc_List_Olist(T_c),T_d)),tc_List_Olist(T_c)),c_Product__Type_OPair(tc_List_Olist(T_c),T_d))),c_List_Olist_OCons(T_c))))),hAPP(c_Lazy__Sequence_Oanamorph(T_d,T_c,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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sublist__Cons,axiom,
% 206.97/207.84 ! [V_A_2,V_l_2,V_x_2,T_c] : c_List_Osublist(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_c),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_c)),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_c),V_x_2),c_List_Olist_ONil(T_c))),c_List_Olist_ONil(T_c))),c_List_Osublist(T_c,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)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__eq__Cons__conv,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)
% 206.97/207.84 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_c)
% 206.97/207.84 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2) )
% 206.97/207.84 | ? [B_ys_H] :
% 206.97/207.84 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),B_ys_H)
% 206.97/207.84 & hAPP(hAPP(c_List_Oappend(T_c),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Cons__eq__append__conv,axiom,
% 206.97/207.84 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_zs_2)
% 206.97/207.84 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_c)
% 206.97/207.84 & hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2) = V_zs_2 )
% 206.97/207.84 | ? [B_ys_H] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),B_ys_H) = V_ys_2
% 206.97/207.84 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),B_ys_H),V_zs_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append1__eq__conv,axiom,
% 206.97/207.84 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c))) = hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),c_List_Olist_ONil(T_c)))
% 206.97/207.84 <=> ( V_xs_2 = V_ys_2
% 206.97/207.84 & V_x_2 = V_y_2 ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__Cons,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Cons__eq__appendI,axiom,
% 206.97/207.84 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 206.97/207.84 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 206.97/207.84 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__in__lists__conv,axiom,
% 206.97/207.84 ! [V_A_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)),c_List_Olists(T_c,V_A_2)))
% 206.97/207.84 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_xs_2),c_List_Olists(T_c,V_A_2)))
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_ys_2),c_List_Olists(T_c,V_A_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__eq__appendI,axiom,
% 206.97/207.84 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 206.97/207.84 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 206.97/207.84 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__same__eq,axiom,
% 206.97/207.84 ! [V_zs_2,V_xs_2,V_ys_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_c),V_zs_2),V_xs_2)
% 206.97/207.84 <=> V_ys_2 = V_zs_2 ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_same__append__eq,axiom,
% 206.97/207.84 ! [V_zs_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_zs_2)
% 206.97/207.84 <=> V_ys_2 = V_zs_2 ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__eq__append__conv2,axiom,
% 206.97/207.84 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_c),V_zs_2),V_ts_2)
% 206.97/207.84 <=> ? [B_us] :
% 206.97/207.84 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),V_zs_2),B_us)
% 206.97/207.84 & hAPP(hAPP(c_List_Oappend(T_c),B_us),V_ys_2) = V_ts_2 )
% 206.97/207.84 | ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),B_us) = V_zs_2
% 206.97/207.84 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_c),B_us),V_ts_2) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__assoc,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listsum__append,axiom,
% 206.97/207.84 ! [V_ys,V_xs,T_a] :
% 206.97/207.84 ( class_Groups_Omonoid__add(T_a)
% 206.97/207.84 => 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)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__append,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip__append,axiom,
% 206.97/207.84 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 206.97/207.84 ( 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)
% 206.97/207.84 => ( 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)
% 206.97/207.84 => 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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__append,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,T_c] : hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__Nil,axiom,
% 206.97/207.84 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Nil__is__append__conv,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( c_List_Olist_ONil(T_c) = hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)
% 206.97/207.84 <=> ( V_xs_2 = c_List_Olist_ONil(T_c)
% 206.97/207.84 & V_ys_2 = c_List_Olist_ONil(T_c) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__Nil2,axiom,
% 206.97/207.84 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 206.97/207.84
% 206.97/207.84 fof(fact_self__append__conv,axiom,
% 206.97/207.84 ! [V_ys_2,T_c,V_xs_2] :
% 206.97/207.84 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)
% 206.97/207.84 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_self__append__conv2,axiom,
% 206.97/207.84 ! [V_xs_2,T_c,V_ys_2] :
% 206.97/207.84 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)
% 206.97/207.84 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__is__Nil__conv,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_c)
% 206.97/207.84 <=> ( V_xs_2 = c_List_Olist_ONil(T_c)
% 206.97/207.84 & V_ys_2 = c_List_Olist_ONil(T_c) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__self__conv,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2) = V_xs_2
% 206.97/207.84 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__self__conv2,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2) = V_ys_2
% 206.97/207.84 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_eq__Nil__appendI,axiom,
% 206.97/207.84 ! [T_a,V_ys,V_xs] :
% 206.97/207.84 ( V_xs = V_ys
% 206.97/207.84 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_butlast__append,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_ys] :
% 206.97/207.84 ( ( V_ys = c_List_Olist_ONil(T_a)
% 206.97/207.84 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 206.97/207.84 & ( V_ys != c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__append__length,axiom,
% 206.97/207.84 ! [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 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__append__length__plus,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__append,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__append1,axiom,
% 206.97/207.84 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__length,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_remove1__append,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => c_List_Oremove1(T_c,V_x_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_c),c_List_Oremove1(T_c,V_x_2,V_xs_2)),V_ys_2) )
% 206.97/207.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.84 => c_List_Oremove1(T_c,V_x_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),c_List_Oremove1(T_c,V_x_2,V_ys_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__set__butlast__appendI,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),c_List_Obutlast(T_c,V_xs_2))))
% 206.97/207.84 | hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),c_List_Obutlast(T_c,V_ys_2)))) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),c_List_Obutlast(T_c,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2))))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_butlast__snoc,axiom,
% 206.97/207.84 ! [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 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__listrel1I,axiom,
% 206.97/207.84 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_c,V_r_2)))
% 206.97/207.84 & V_us_2 = V_vs_2 )
% 206.97/207.84 | ( V_xs_2 = V_ys_2
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_us_2),V_vs_2)),c_List_Olistrel1(T_c,V_r_2))) ) )
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2))),c_List_Olistrel1(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__append__leftI,axiom,
% 206.97/207.84 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_u_2),V_v_2)),c_List_Olexord(T_c,V_r_2)))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Oappend(T_c),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_c),V_x_2),V_v_2))),c_List_Olexord(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__append,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)))
% 206.97/207.84 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.84 & hBOOL(hAPP(c_List_Odistinct(T_c),V_ys_2))
% 206.97/207.84 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__append,axiom,
% 206.97/207.84 ! [V_ys,V_xs,T_a,V_n] :
% 206.97/207.84 ( ( 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)))
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( ~ 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)))
% 206.97/207.84 => 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))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_list__update__append,axiom,
% 206.97/207.84 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 206.97/207.84 ( ( 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)))
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( ~ 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)))
% 206.97/207.84 => 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)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sublist__append,axiom,
% 206.97/207.84 ! [V_A_2,V_l_H_2,V_l_2,T_c] : c_List_Osublist(T_c,hAPP(hAPP(c_List_Oappend(T_c),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_c),c_List_Osublist(T_c,V_l_2,V_A_2)),c_List_Osublist(T_c,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_c)),V_l_2)))),V_A_2)))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1I,axiom,
% 206.97/207.84 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2))
% 206.97/207.84 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_vs_2))
% 206.97/207.84 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_c),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_vs_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_c,V_r_2))) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__append__left__rightI,axiom,
% 206.97/207.84 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Oappend(T_c),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_c),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_b_2),V_y_2)))),c_List_Olexord(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__Suc__conv__app__nth,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_i] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c)))),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),c_List_Olist_ONil(T_c))))),c_List_Olistrel1(T_c,V_r_2)))
% 206.97/207.84 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_c,V_r_2)))
% 206.97/207.84 & V_x_2 = V_y_2 )
% 206.97/207.84 | ( V_xs_2 = V_ys_2
% 206.97/207.84 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listrel1E,axiom,
% 206.97/207.84 ! [V_r_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_c,V_r_2)))
% 206.97/207.84 => ~ ! [B_x,B_y] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_y)),V_r_2))
% 206.97/207.84 => ! [B_us,B_vs] :
% 206.97/207.84 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),B_us),hAPP(hAPP(c_List_Olist_OCons(T_c),B_x),B_vs))
% 206.97/207.84 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_c),B_us),hAPP(hAPP(c_List_Olist_OCons(T_c),B_y),B_vs)) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__append__leftD,axiom,
% 206.97/207.84 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_List_Oappend(T_c),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_c),V_x_2),V_v_2))),c_List_Olexord(T_c,V_r_2)))
% 206.97/207.84 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_a),B_a)),V_r_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_u_2),V_v_2)),c_List_Olexord(T_c,V_r_2))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate1__def,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] : hAPP(c_List_Orotate1(T_c),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_c),T_c,c_List_Olist_ONil(T_c),hAPP(hAPP(c_COMBB(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),T_c),hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Oappend(T_c))),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_OCons(T_c)),c_List_Olist_ONil(T_c)))),V_xs_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_upd__conv__take__nth__drop,axiom,
% 206.97/207.84 ! [V_a,V_xs,T_a,V_i] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__take__drop__id,axiom,
% 206.97/207.84 ! [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 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__1__Cons,axiom,
% 206.97/207.84 ! [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 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__Suc__Cons,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__via__drop,axiom,
% 206.97/207.84 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 206.97/207.84 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__drop,axiom,
% 206.97/207.84 ! [V_i,V_xs,T_a] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct1__rotate,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(c_List_Orotate1(T_c),V_xs_2)))
% 206.97/207.84 <=> hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_butlast__drop,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__butlast,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__take,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__drop,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__0,axiom,
% 206.97/207.84 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__drop,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__zip,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__drop,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__rotate1,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__rotate1,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] : hAPP(c_List_Oset(T_c),hAPP(c_List_Orotate1(T_c),V_xs_2)) = hAPP(c_List_Oset(T_c),V_xs_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_in__set__dropD,axiom,
% 206.97/207.84 ! [V_xs_2,V_n_2,V_x_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2))))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__drop__subset,axiom,
% 206.97/207.84 ! [V_xs_2,V_n_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_c),V_xs_2))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__Nil,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate1__is__Nil__conv,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(c_List_Orotate1(T_c),V_xs_2) = c_List_Olist_ONil(T_c)
% 206.97/207.84 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__drop__subset__set__drop,axiom,
% 206.97/207.84 ! [V_xs_2,T_c,V_m_2,V_n_2] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Odrop(T_c),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__eq__Nil,axiom,
% 206.97/207.84 ! [V_xs_2,V_n_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2) = c_List_Olist_ONil(T_c)
% 206.97/207.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)),V_n_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__all,axiom,
% 206.97/207.84 ! [V_n,V_xs,T_a] :
% 206.97/207.84 ( 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))
% 206.97/207.84 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__append,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__eq__conv__conj,axiom,
% 206.97/207.84 ! [V_zs_2,V_ys_2,V_xs_2,T_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2) = V_zs_2
% 206.97/207.84 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)),V_zs_2)
% 206.97/207.84 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)),V_zs_2) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__Cons,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,V_n_2,T_c] : hAPP(hAPP(c_List_Odrop(T_c),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Odrop(T_c)),V_xs_2),V_n_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__Cons_H,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_a,V_n] :
% 206.97/207.84 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__drop,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_i,V_n] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_append__eq__append__conv__if,axiom,
% 206.97/207.84 ! [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_c] :
% 206.97/207.84 ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_c),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 206.97/207.84 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_092_060_094isub_0621_2)))
% 206.97/207.84 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 206.97/207.84 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_c),hAPP(hAPP(c_List_Odrop(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 206.97/207.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_092_060_094isub_0621_2)))
% 206.97/207.84 => ( hAPP(hAPP(c_List_Otake(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 206.97/207.84 & hAPP(hAPP(c_List_Oappend(T_c),hAPP(hAPP(c_List_Odrop(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),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 ) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_nth__drop_H,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_i] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__simps,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_b,T_a] :
% 206.97/207.84 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 206.97/207.84 & 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__Cons__number__of,axiom,
% 206.97/207.84 ! [V_xs,V_x,T_a,V_v] :
% 206.97/207.84 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 => 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) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__add,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_j,V_i] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate1__length01,axiom,
% 206.97/207.84 ! [V_xs,T_a] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip__append2,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_zip__append1,axiom,
% 206.97/207.84 ! [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))) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_id__take__nth__drop,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_i] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__hd__drop,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_n] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_hd__drop__conv__nth,axiom,
% 206.97/207.84 ! [V_n,T_a,V_xs] :
% 206.97/207.84 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => ( 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)))
% 206.97/207.84 => 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) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_hd_Osimps,axiom,
% 206.97/207.84 ! [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 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_hd__append2,axiom,
% 206.97/207.84 ! [V_ys,T_a,V_xs] :
% 206.97/207.84 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_hd__append,axiom,
% 206.97/207.84 ! [V_ys,T_a,V_xs] :
% 206.97/207.84 ( ( V_xs = c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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) )
% 206.97/207.84 & ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_hd__in__set,axiom,
% 206.97/207.84 ! [T_c,V_xs_2] :
% 206.97/207.84 ( V_xs_2 != c_List_Olist_ONil(T_c)
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_List_Ohd(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_xs_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_hd__conv__nth,axiom,
% 206.97/207.84 ! [T_a,V_xs] :
% 206.97/207.84 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate1__hd__tl,axiom,
% 206.97/207.84 ! [T_a,V_xs] :
% 206.97/207.84 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_hd__rotate__conv__nth,axiom,
% 206.97/207.84 ! [V_n,T_a,V_xs] :
% 206.97/207.84 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__tl,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_tl__drop,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_tl_Osimps_I2_J,axiom,
% 206.97/207.84 ! [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 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__tl,axiom,
% 206.97/207.84 ! [V_xs,T_a] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.84 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_distinct__rotate,axiom,
% 206.97/207.84 ! [V_xs_2,V_n_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)))
% 206.97/207.84 <=> hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__add,axiom,
% 206.97/207.84 ! [V_n_2,V_m_2,T_c] : c_List_Orotate(T_c,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_List_Olist(T_c),c_List_Orotate(T_c,V_m_2)),c_List_Orotate(T_c,V_n_2)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate0,axiom,
% 206.97/207.84 ! [T_c] : c_List_Orotate(T_c,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_c)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__rotate,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__rotate,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_set__rotate,axiom,
% 206.97/207.84 ! [V_xs_2,V_n_2,T_c] : hAPP(c_List_Oset(T_c),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_c),V_xs_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_tl_Osimps_I1_J,axiom,
% 206.97/207.84 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__is__Nil__conv,axiom,
% 206.97/207.84 ! [V_xs_2,V_n_2,T_c] :
% 206.97/207.84 ( hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2) = c_List_Olist_ONil(T_c)
% 206.97/207.84 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate1__rotate__swap,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__def,axiom,
% 206.97/207.84 ! [V_n_2,T_c] : c_List_Orotate(T_c,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_n_2),c_List_Orotate1(T_c)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_tl__append2,axiom,
% 206.97/207.84 ! [V_ys,T_a,V_xs] :
% 206.97/207.84 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__tl,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__conv__mod,axiom,
% 206.97/207.84 ! [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) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_drop__Suc,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__Suc,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_tl__append,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,T_c] : hAPP(c_List_Otl(T_c),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_c),T_c,hAPP(c_List_Otl(T_c),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),T_c),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Oappend(T_c)),V_ys_2))),V_xs_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__id,axiom,
% 206.97/207.84 ! [V_xs,T_a,V_n] :
% 206.97/207.84 ( 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)
% 206.97/207.84 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__length01,axiom,
% 206.97/207.84 ! [V_n,V_xs,T_a] :
% 206.97/207.84 ( 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)))
% 206.97/207.84 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_length__tl,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_tl__take,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_take__Suc,axiom,
% 206.97/207.84 ! [V_n,T_a,V_xs] :
% 206.97/207.84 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_rotate__drop__take,axiom,
% 206.97/207.84 ! [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)) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_fold1__set,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( class_Lattices_Oab__semigroup__idem__mult(T_c)
% 206.97/207.84 => ( V_xs_2 != c_List_Olist_ONil(T_c)
% 206.97/207.84 => hAPP(c_Finite__Set_Ofold1(T_c,c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_List_Oset(T_c),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_c,c_Groups_Otimes__class_Otimes(T_c),hAPP(c_List_Ohd(T_c),V_xs_2)),hAPP(c_List_Otl(T_c),V_xs_2)) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__append__rightI,axiom,
% 206.97/207.84 ! [V_r_2,V_x_2,T_c,V_y_2] :
% 206.97/207.84 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),B_b),B_z)
% 206.97/207.84 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),hAPP(hAPP(c_List_Oappend(T_c),V_x_2),V_y_2))),c_List_Olexord(T_c,V_r_2))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_foldl__Nil,axiom,
% 206.97/207.84 ! [V_a_2,V_f_2,T_d,T_c] : hAPP(c_List_Ofoldl(T_c,T_d,V_f_2,V_a_2),c_List_Olist_ONil(T_d)) = V_a_2 ).
% 206.97/207.84
% 206.97/207.84 fof(fact_start__le__sum,axiom,
% 206.97/207.84 ! [V_ns_2,V_n_2,V_m_2] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_foldl__assoc,axiom,
% 206.97/207.84 ! [V_zs_2,V_y_2,V_x_2,T_c] :
% 206.97/207.84 ( class_Groups_Osemigroup__add(T_c)
% 206.97/207.84 => hAPP(c_List_Ofoldl(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_x_2),hAPP(c_List_Ofoldl(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),V_y_2),V_zs_2)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_foldl__absorb0,axiom,
% 206.97/207.84 ! [V_zs_2,V_x_2,T_c] :
% 206.97/207.84 ( class_Groups_Omonoid__add(T_c)
% 206.97/207.84 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_x_2),hAPP(c_List_Ofoldl(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_zs_2)) = hAPP(c_List_Ofoldl(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),V_x_2),V_zs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_foldl__Cons,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_d,T_c] : hAPP(c_List_Ofoldl(T_c,T_d,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_d),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_d,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_foldl__append,axiom,
% 206.97/207.84 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_d,T_c] : hAPP(c_List_Ofoldl(T_c,T_d,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_d),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_c,T_d,V_f_2,hAPP(c_List_Ofoldl(T_c,T_d,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_listsum__foldl,axiom,
% 206.97/207.84 ! [T_c] :
% 206.97/207.84 ( class_Groups_Omonoid__add(T_c)
% 206.97/207.84 => c_List_Omonoid__add__class_Olistsum(T_c) = c_List_Ofoldl(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),c_Groups_Ozero__class_Ozero(T_c)) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sum__eq__0__conv,axiom,
% 206.97/207.84 ! [V_ns_2,V_m_2] :
% 206.97/207.84 ( 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)
% 206.97/207.84 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.84 & ! [B_x] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 206.97/207.84 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 206.97/207.84 ! [V_xs_2,V_y_2,V_f_2,T_d,T_c] :
% 206.97/207.84 ( c_Finite__Set_Ofun__left__comm__idem(T_c,T_d,V_f_2)
% 206.97/207.84 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_y_2),hAPP(c_List_Oset(T_c),V_xs_2)) = hAPP(c_List_Ofoldl(T_d,T_c,hAPP(c_COMBC(T_c,T_d,T_d),V_f_2),V_y_2),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Sup__set__fold,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.84 => c_Complete__Lattice_OSup__class_OSup(T_c,hAPP(c_List_Oset(T_c),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c),c_Orderings_Obot__class_Obot(T_c)),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Inf__set__fold,axiom,
% 206.97/207.84 ! [V_xs_2,T_c] :
% 206.97/207.84 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.84 => c_Complete__Lattice_OInf__class_OInf(T_c,hAPP(c_List_Oset(T_c),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c),c_Orderings_Otop__class_Otop(T_c)),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Sup__fin__set__fold,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( class_Lattices_Olattice(T_c)
% 206.97/207.84 => c_Big__Operators_Olattice__class_OSup__fin(T_c,hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_c,T_c,c_Lattices_Osemilattice__sup__class_Osup(T_c),V_x_2),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Inf__fin__set__fold,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( class_Lattices_Olattice(T_c)
% 206.97/207.84 => c_Big__Operators_Olattice__class_OInf__fin(T_c,hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_c,T_c,c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_x_2),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Min__fin__set__fold,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( class_Orderings_Olinorder(T_c)
% 206.97/207.84 => c_Big__Operators_Olinorder__class_OMin(T_c,hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_c,T_c,c_Orderings_Oord__class_Omin(T_c),V_x_2),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_Max__fin__set__fold,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( class_Orderings_Olinorder(T_c)
% 206.97/207.84 => c_Big__Operators_Olinorder__class_OMax(T_c,hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_c,T_c,c_Orderings_Oord__class_Omax(T_c),V_x_2),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( class_Orderings_Olinorder(T_c)
% 206.97/207.84 => c_Big__Operators_Olattice_OInf__fin(T_c,c_Orderings_Oord__class_Omin(T_c),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_c,T_c,c_Orderings_Oord__class_Omin(T_c),V_x_2),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 206.97/207.84 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.84 ( class_Orderings_Olinorder(T_c)
% 206.97/207.84 => c_Big__Operators_Olattice_OSup__fin(T_c,c_Orderings_Oord__class_Omax(T_c),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_c,T_c,c_Orderings_Oord__class_Omax(T_c),V_x_2),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_SUPR__set__fold,axiom,
% 206.97/207.84 ! [V_f_2,V_xs_2,T_d,T_c] :
% 206.97/207.84 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.84 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_c),hAPP(c_List_Oset(T_d),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_c,T_d,hAPP(c_COMBC(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_INFI__set__fold,axiom,
% 206.97/207.84 ! [V_f_2,V_xs_2,T_d,T_c] :
% 206.97/207.84 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.84 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_c),hAPP(c_List_Oset(T_d),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_c,T_d,hAPP(c_COMBC(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_xs_2) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_elem__le__sum,axiom,
% 206.97/207.84 ! [V_ns_2,V_n_2] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 206.97/207.84 => 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))) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_sorted__list__of__set__insert,axiom,
% 206.97/207.84 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.84 ( class_Orderings_Olinorder(T_c)
% 206.97/207.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.84 => c_List_Olinorder__class_Osorted__list__of__set(T_c,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_c,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)))))) ) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_lexord__Nil__left,axiom,
% 206.97/207.84 ! [V_r_2,V_y_2,T_c] :
% 206.97/207.84 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),V_y_2)),c_List_Olexord(T_c,V_r_2)))
% 206.97/207.84 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),B_a),B_x) ) ).
% 206.97/207.84
% 206.97/207.84 fof(fact_insort__key_Osimps_I1_J,axiom,
% 206.97/207.84 ! [V_x_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_d,V_f_2),V_x_2),c_List_Olist_ONil(T_c)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__key_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_ys_2,T_d,V_y_2,V_x_2,V_f_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 206.97/207.85 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_d),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_d),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_d),V_y_2),V_ys_2)) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 206.97/207.85 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_d),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_d),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__insort,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_d,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__insort,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_d,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_fun__left__comm__insort,axiom,
% 206.97/207.85 ! [T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => c_Finite__Set_Ofun__left__comm(T_c,tc_List_Olist(T_c),c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__left__comm,axiom,
% 206.97/207.85 ! [V_xs_2,V_y_2,V_x_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c)),V_x_2),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__key__left__comm,axiom,
% 206.97/207.85 ! [V_xs_2,T_d,V_y_2,V_x_2,V_f_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 206.97/207.85 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remove1__insort,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => c_List_Oremove1(T_c,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__not__Nil,axiom,
% 206.97/207.85 ! [V_xs_2,V_a_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_d,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_c) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__insort,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_d,V_f_2),V_x_2),V_xs_2)))
% 206.97/207.85 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 & hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__insert__insort__key,axiom,
% 206.97/207.85 ! [V_xs_2,T_d,V_x_2,V_f_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_List_Oset(T_d),V_xs_2))))
% 206.97/207.85 => c_List_Olinorder__class_Oinsort__insert__key(T_d,T_c,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_x_2),V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__insert__insort,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_c,c_COMBI(T_c),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c)),V_x_2),V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__insort__insert,axiom,
% 206.97/207.85 ! [V_x_2,V_f_2,V_xs_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(T_c),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_d,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__insert__triv,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_c,c_COMBI(T_c),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__insort__insert,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => hAPP(c_List_Oset(T_c),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_c,c_COMBI(T_c),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__insert__key__triv,axiom,
% 206.97/207.85 ! [V_xs_2,T_d,V_x_2,V_f_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_List_Oset(T_d),V_xs_2))))
% 206.97/207.85 => c_List_Olinorder__class_Oinsort__insert__key(T_d,T_c,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__list__update,axiom,
% 206.97/207.85 ! [V_x,V_k,T_a,V_xs] :
% 206.97/207.85 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.85 => ( ( 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))
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 206.97/207.85 & ( 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))
% 206.97/207.85 => 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) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__conv__nth,axiom,
% 206.97/207.85 ! [T_a,V_xs] :
% 206.97/207.85 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.85 => 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))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last_Osimps,axiom,
% 206.97/207.85 ! [V_x,T_a,V_xs] :
% 206.97/207.85 ( ( V_xs = c_List_Olist_ONil(T_a)
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 206.97/207.85 & ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__ConsR,axiom,
% 206.97/207.85 ! [V_x,T_a,V_xs] :
% 206.97/207.85 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__ConsL,axiom,
% 206.97/207.85 ! [V_x,T_a,V_xs] :
% 206.97/207.85 ( V_xs = c_List_Olist_ONil(T_a)
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__append,axiom,
% 206.97/207.85 ! [V_xs,T_a,V_ys] :
% 206.97/207.85 ( ( V_ys = c_List_Olist_ONil(T_a)
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 206.97/207.85 & ( V_ys != c_List_Olist_ONil(T_a)
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__appendR,axiom,
% 206.97/207.85 ! [V_xs,T_a,V_ys] :
% 206.97/207.85 ( V_ys != c_List_Olist_ONil(T_a)
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__appendL,axiom,
% 206.97/207.85 ! [V_xs,T_a,V_ys] :
% 206.97/207.85 ( V_ys = c_List_Olist_ONil(T_a)
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__in__set,axiom,
% 206.97/207.85 ! [T_c,V_as_2] :
% 206.97/207.85 ( V_as_2 != c_List_Olist_ONil(T_c)
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_member(T_c),c_List_Olast(T_c,V_as_2)),hAPP(c_List_Oset(T_c),V_as_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__snoc,axiom,
% 206.97/207.85 ! [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 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__drop,axiom,
% 206.97/207.85 ! [V_xs,T_a,V_n] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_append__butlast__last__id,axiom,
% 206.97/207.85 ! [T_a,V_xs] :
% 206.97/207.85 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.85 => 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 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_snoc__eq__iff__butlast,axiom,
% 206.97/207.85 ! [V_ys_2,V_x_2,V_xs_2,T_c] :
% 206.97/207.85 ( hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c))) = V_ys_2
% 206.97/207.85 <=> ( V_ys_2 != c_List_Olist_ONil(T_c)
% 206.97/207.85 & c_List_Obutlast(T_c,V_ys_2) = V_xs_2
% 206.97/207.85 & c_List_Olast(T_c,V_ys_2) = V_x_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lists_Osimps,axiom,
% 206.97/207.85 ! [V_A_2,V_a_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_a_2),c_List_Olists(T_c,V_A_2)))
% 206.97/207.85 <=> ( V_a_2 = c_List_Olist_ONil(T_c)
% 206.97/207.85 | ? [B_a,B_l] :
% 206.97/207.85 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),B_a),B_l)
% 206.97/207.85 & hBOOL(hAPP(hAPP(c_member(T_c),B_a),V_A_2))
% 206.97/207.85 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),B_l),c_List_Olists(T_c,V_A_2))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_select__weigth__select,axiom,
% 206.97/207.85 ! [T_c,V_xs_2] :
% 206.97/207.85 ( V_xs_2 != c_List_Olist_ONil(T_c)
% 206.97/207.85 => c_Random_Oselect__weight(T_c,hAPP(hAPP(c_List_Omap(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,T_c)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_c),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_c,V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_inj__mapI,axiom,
% 206.97/207.85 ! [V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.85 => c_Fun_Oinj__on(tc_List_Olist(T_c),tc_List_Olist(T_d),hAPP(c_List_Omap(T_c,T_d),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__map,axiom,
% 206.97/207.85 ! [V_f_2,T_d,T_c,V_xs_2] :
% 206.97/207.85 ( V_xs_2 != c_List_Olist_ONil(T_c)
% 206.97/207.85 => c_List_Olast(T_d,hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_c,V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldl__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_e,V_a_2,V_g_2,T_d,T_c] : hAPP(c_List_Ofoldl(T_c,T_d,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_e,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_c),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,T_c)),T_c),c_COMBB(T_d,T_c,T_e)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rotate__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,V_n_2,T_c] : hAPP(c_List_Orotate(T_c,V_n_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(c_List_Orotate(T_d,V_n_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__tl,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(c_List_Otl(T_d),V_xs_2)) = hAPP(c_List_Otl(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__map2,axiom,
% 206.97/207.85 ! [V_ys_2,V_f_2,T_e,V_xs_2,T_d,T_c] : hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,tc_prod(T_c,T_d)),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_f_2))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__zip__map2,axiom,
% 206.97/207.85 ! [V_ys_2,V_g_2,T_f,V_xs_2,V_f_2,T_c,T_e,T_d] : hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),T_c),V_f_2),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),hAPP(hAPP(c_List_Omap(T_f,T_e),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_f),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_f,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_d,T_e)),tc_fun(T_f,T_c),T_d),hAPP(c_COMBB(tc_prod(T_d,T_e),T_c,T_f),V_f_2)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_f,T_e),tc_fun(T_f,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_f,T_e),tc_fun(T_f,tc_prod(T_d,T_e))),T_d),c_COMBB(T_e,tc_prod(T_d,T_e),T_f)),c_Product__Type_OPair(T_d,T_e))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_d,T_f),V_xs_2),V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__zip__map,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_g_2,T_f,V_f_2,T_c,T_e,T_d] : hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),T_c),V_f_2),hAPP(hAPP(c_List_Ozip(T_d,T_e),hAPP(hAPP(c_List_Omap(T_f,T_d),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_f,T_e),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_f,T_e,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(T_e,T_c),T_f),hAPP(c_COMBB(tc_prod(T_d,T_e),T_c,T_e),V_f_2)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_f),c_Product__Type_OPair(T_d,T_e)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_f,T_e),V_xs_2),V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__map1,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_f_2,T_e,T_d,T_c] : hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,tc_prod(T_c,T_d)),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_f_2))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__map__map,axiom,
% 206.97/207.85 ! [V_ys_2,V_g_2,T_f,V_xs_2,V_f_2,T_e,T_d,T_c] : hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_f,T_d),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_f),tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_f,T_d),tc_fun(T_f,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_f,T_d),tc_fun(T_f,tc_prod(T_c,T_d))),T_e),c_COMBB(T_d,tc_prod(T_c,T_d),T_f)),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_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_e,T_f),V_xs_2),V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__same__conv__map,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(hAPP(c_List_Ozip(T_c,T_c),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_c,T_c)),hAPP(hAPP(c_COMBS(T_c,T_c,tc_prod(T_c,T_c)),c_Product__Type_OPair(T_c,T_c)),c_COMBI(T_c))),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__is__Nil__conv,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2) = c_List_Olist_ONil(T_c)
% 206.97/207.85 <=> V_xs_2 = c_List_Olist_ONil(T_d) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map_Osimps_I1_J,axiom,
% 206.97/207.85 ! [V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_Olist_ONil(T_d)) = c_List_Olist_ONil(T_c) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Nil__is__map__conv,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist_ONil(T_c) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)
% 206.97/207.85 <=> V_xs_2 = c_List_Olist_ONil(T_d) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__update,axiom,
% 206.97/207.85 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(hAPP(c_List_Olist__update(T_d,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__eq__conv,axiom,
% 206.97/207.85 ! [V_g_2,V_xs_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),hAPP(c_List_Oset(T_d),V_xs_2)))
% 206.97/207.85 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__eq__imp__length__eq,axiom,
% 206.97/207.85 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)
% 206.97/207.85 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_e)),V_ys_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__addf,axiom,
% 206.97/207.85 ! [V_xs_2,V_g_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Groups_Oplus__class_Oplus(T_c)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__subtractf,axiom,
% 206.97/207.85 ! [V_xs_2,V_g_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Groups_Oab__group__add(T_c)
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Groups_Ominus__class_Ominus(T_c)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__0,axiom,
% 206.97/207.85 ! [V_xs_2,T_d,T_c] :
% 206.97/207.85 ( class_Groups_Omonoid__add(T_c)
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),hAPP(c_COMBK(T_c,T_d),c_Groups_Ozero__class_Ozero(T_c))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_c) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__const__mult,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,V_c_2,T_d,T_c] :
% 206.97/207.85 ( class_Rings_Osemiring__0(T_c)
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,T_c,T_d),hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__mult__const,axiom,
% 206.97/207.85 ! [V_xs_2,V_c_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Rings_Osemiring__0(T_c)
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),hAPP(hAPP(c_COMBC(T_d,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_d),c_Groups_Otimes__class_Otimes(T_c)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))),V_c_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_inj__map__eq__map,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.85 => ( hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_ys_2)
% 206.97/207.85 <=> V_xs_2 = V_ys_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__injective,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)
% 206.97/207.85 => ( c_Fun_Oinj__on(T_d,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 206.97/207.85 => V_xs_2 = V_ys_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__ident,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_c),c_COMBI(T_c)),V_xs_2) = V_xs_2 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_take__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,V_n_2,T_c] : hAPP(hAPP(c_List_Otake(T_c),V_n_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(hAPP(c_List_Otake(T_d),V_n_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__butlast,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_Obutlast(T_d,V_xs_2)) = c_List_Obutlast(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] : hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_List_Oset(T_d),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_d),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__append,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(hAPP(c_List_Oappend(T_d),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_hd__map,axiom,
% 206.97/207.85 ! [V_f_2,T_d,T_c,V_xs_2] :
% 206.97/207.85 ( V_xs_2 != c_List_Olist_ONil(T_c)
% 206.97/207.85 => hAPP(c_List_Ohd(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_c),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_drop__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,V_n_2,T_c] : hAPP(hAPP(c_List_Odrop(T_c),V_n_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(hAPP(c_List_Odrop(T_d),V_n_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_List_Omap_Ocomp,axiom,
% 206.97/207.85 ! [V_g_2,V_f_2,T_c,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_e),tc_List_Olist(T_d),tc_List_Olist(T_c),hAPP(c_List_Omap(T_e,T_d),V_f_2)),hAPP(c_List_Omap(T_c,T_e),V_g_2)) = hAPP(c_List_Omap(T_c,T_d),hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),V_g_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__comp__map,axiom,
% 206.97/207.85 ! [V_g_2,V_f_2,T_c,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_e),tc_List_Olist(T_d),tc_List_Olist(T_c),hAPP(c_List_Omap(T_e,T_d),V_f_2)),hAPP(c_List_Omap(T_c,T_e),V_g_2)) = hAPP(c_List_Omap(T_c,T_d),hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),V_g_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_List_Omap_Ocompositionality,axiom,
% 206.97/207.85 ! [V_list_2,V_g_2,T_e,V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_e,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_list_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_g_2,T_e,V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_e,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_List_Omap_Oidentity,axiom,
% 206.97/207.85 ! [T_c] : hAPP(c_List_Omap(T_c,T_c),c_COMBI(T_c)) = c_Fun_Oid(tc_List_Olist(T_c)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_List_Omap_Oid,axiom,
% 206.97/207.85 ! [T_c] : hAPP(c_List_Omap(T_c,T_c),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_List_Olist(T_c)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__size__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_g_2,T_d,V_f_2,T_c] : c_List_Olist_Olist__size(T_c,V_f_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_d,hAPP(c_Fun_Ocomp(T_c,tc_Nat_Onat,T_d,V_f_2),V_g_2),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_inj__on__map__eq__map,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_Fun_Oinj__on(T_c,T_d,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)))
% 206.97/207.85 => ( hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_ys_2)
% 206.97/207.85 <=> V_xs_2 = V_ys_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__inj__on,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)
% 206.97/207.85 => ( c_Fun_Oinj__on(T_d,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_List_Oset(T_d),V_xs_2)),hAPP(c_List_Oset(T_d),V_ys_2)))
% 206.97/207.85 => V_xs_2 = V_ys_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nth__map,axiom,
% 206.97/207.85 ! [V_f_2,T_d,V_xs_2,T_c,V_n_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => hAPP(hAPP(c_List_Onth(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_n_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__fun__upd,axiom,
% 206.97/207.85 ! [V_v_2,V_f_2,T_d,V_xs_2,V_y_2,T_c] :
% 206.97/207.85 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hAPP(hAPP(c_List_Omap(T_c,T_d),c_Fun_Ofun__upd(T_c,T_d,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)))
% 206.97/207.85 <=> ( hBOOL(hAPP(c_List_Odistinct(T_d),V_xs_2))
% 206.97/207.85 & c_Fun_Oinj__on(T_d,T_c,V_f_2,hAPP(c_List_Oset(T_d),V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__abs,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( class_Groups_Oordered__ab__group__add__abs(T_c)
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_Groups_Oabs__class_Oabs(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_c,T_c),c_Groups_Oabs__class_Oabs(T_c)),V_xs_2)))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_uminus__listsum__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Groups_Oab__group__add(T_c)
% 206.97/207.85 => hAPP(c_Groups_Ouminus__class_Ouminus(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,c_Groups_Ouminus__class_Ouminus(T_c)),V_f_2)),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_inj__on__mapI,axiom,
% 206.97/207.85 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool),c_List_Oset(T_c)),V_A_2)))
% 206.97/207.85 => c_Fun_Oinj__on(tc_List_Olist(T_c),tc_List_Olist(T_d),hAPP(c_List_Omap(T_c,T_d),V_f_2),V_A_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_inj__mapD,axiom,
% 206.97/207.85 ! [V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_Fun_Oinj__on(tc_List_Olist(T_c),tc_List_Olist(T_d),hAPP(c_List_Omap(T_c,T_d),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)))
% 206.97/207.85 => c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_inj__map,axiom,
% 206.97/207.85 ! [V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_Fun_Oinj__on(tc_List_Olist(T_c),tc_List_Olist(T_d),hAPP(c_List_Omap(T_c,T_d),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)))
% 206.97/207.85 <=> c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 206.97/207.85 ! [V_f_2,V_xs_2,T_c,T_d] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__triv,axiom,
% 206.97/207.85 ! [V_xs_2,V_r_2,T_d,T_c] :
% 206.97/207.85 ( class_Rings_Osemiring__1(T_c)
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),hAPP(c_COMBK(T_c,T_d),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_xs_2))),V_r_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__map__remove1,axiom,
% 206.97/207.85 ! [V_f_2,V_xs_2,V_x_2,T_c,T_d] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2)))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 206.97/207.85 ! [V_f_2,V_A_2,T_c,T_d] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.85 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.85 => c_Nitpick_Osetsum_H(T_c,T_d,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_c),hAPP(hAPP(c_COMBS(tc_List_Olist(T_c),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_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_c)),c_fequal),c_List_Oset(T_c))),V_A_2))),c_List_Odistinct(T_c))))) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.85 => c_Nitpick_Osetsum_H(T_c,T_d,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pick__same,axiom,
% 206.97/207.85 ! [V_xs_2,T_c,V_l_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => hAPP(c_Random_Opick(T_c,hAPP(hAPP(c_List_Omap(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,T_c)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_c),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_c),V_xs_2),V_l_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zero__code__numeral__def,axiom,
% 206.97/207.85 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_times__code__numeral__code,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 206.97/207.85 ! [V_m_2,V_n_2] :
% 206.97/207.85 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 206.97/207.85 <=> V_n_2 = V_m_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 206.97/207.85 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_one__code__numeral__def,axiom,
% 206.97/207.85 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_less__code__numeral__code,axiom,
% 206.97/207.85 ! [V_m_2,V_n_2] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 206.97/207.85 ! [V_y_2,V_x_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 206.97/207.85 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 206.97/207.85 <=> V_x_2 = V_y_2 ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__fst__zip,axiom,
% 206.97/207.85 ! [V_ys_2,T_d,V_xs_2,T_c] :
% 206.97/207.85 ( 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)
% 206.97/207.85 => hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_c),c_Product__Type_Ofst(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__snd__zip,axiom,
% 206.97/207.85 ! [V_ys_2,T_d,V_xs_2,T_c] :
% 206.97/207.85 ( 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)
% 206.97/207.85 => hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_d),c_Product__Type_Osnd(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_number__of__code__numeral__def,axiom,
% 206.97/207.85 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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__map__fst__snd,axiom,
% 206.97/207.85 ! [V_zs_2,T_d,T_c] : hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_c),c_Product__Type_Ofst(T_c,T_d)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_d),c_Product__Type_Osnd(T_c,T_d)),V_zs_2)) = V_zs_2 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_plus__code__numeral__code,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_less__eq__code__numeral__code,axiom,
% 206.97/207.85 ! [V_m_2,V_n_2] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pick__member,axiom,
% 206.97/207.85 ! [V_xs_2,T_c,V_i_2] :
% 206.97/207.85 ( 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_c),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_c)),V_xs_2))))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Random_Opick(T_c,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_c),T_c),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_c)),V_xs_2)))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__eq__conv,axiom,
% 206.97/207.85 ! [V_zs_2,V_ys_2,T_d,V_xs_2,T_c] :
% 206.97/207.85 ( 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)
% 206.97/207.85 => ( hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2) = V_zs_2
% 206.97/207.85 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_c),c_Product__Type_Ofst(T_c,T_d)),V_zs_2) = V_xs_2
% 206.97/207.85 & hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_d),c_Product__Type_Osnd(T_c,T_d)),V_zs_2) = V_ys_2 ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__size__conv__listsum,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c] : c_List_Olist_Olist__size(T_c,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_c,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_code__numeral__not__eq__zero,axiom,
% 206.97/207.85 ! [V_i_2] :
% 206.97/207.85 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 206.97/207.85 <=> 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)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 206.97/207.85 ! [V_j_2,V_i_2,V_f_2,T_c] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_c),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_c),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_c),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 206.97/207.85 ! [V_l_2,V_k_2,V_f_2,T_c] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_c),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_c),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_select__weight__member,axiom,
% 206.97/207.85 ! [V_s_2,V_xs_2,T_c] :
% 206.97/207.85 ( 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_c),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_c)),V_xs_2))))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Product__Type_Ofst(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_c,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_c),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_c),T_c),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_c)),V_xs_2)))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_select__weight__def,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : c_Random_Oselect__weight(T_c,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_c,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_c),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_c)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_c,V_xs_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_select__def,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : c_Random_Oselect(T_c,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_c,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_c)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_c,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_c),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_subtract__code__numeral__code,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_times__code__numeral__def,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nat__of__inverse,axiom,
% 206.97/207.85 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 206.97/207.85
% 206.97/207.85 fof(fact_of__nat__nat__of,axiom,
% 206.97/207.85 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nat__of__of__nat,axiom,
% 206.97/207.85 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 206.97/207.85 ! [V_l_2,V_k_2] :
% 206.97/207.85 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 206.97/207.85 <=> V_k_2 = V_l_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_code__numeral_Onat__of__inject,axiom,
% 206.97/207.85 ! [V_y_2,V_x_2] :
% 206.97/207.85 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 206.97/207.85 <=> V_x_2 = V_y_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_type__definition__code__numeral,axiom,
% 206.97/207.85 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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_less__code__numeral__def,axiom,
% 206.97/207.85 ! [V_m_2,V_n_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 206.97/207.85 <=> 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))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nat__of,axiom,
% 206.97/207.85 ! [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)))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nat__of__number,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_int__of__def,axiom,
% 206.97/207.85 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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_less__eq__code__numeral__def,axiom,
% 206.97/207.85 ! [V_m_2,V_n_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 206.97/207.85 <=> 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))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nat__of__code,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nat__of__aux__def,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Suc__code__numeral__def,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_minus__code__numeral__def,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_of__nat__inverse,axiom,
% 206.97/207.85 ! [V_y_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 206.97/207.85 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_plus__code__numeral__def,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_div__code__numeral__def,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_subtract__code__numeral__def,axiom,
% 206.97/207.85 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_minus__code__numeral__code,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_mod__code__numeral__def,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_code__numeral__decr,axiom,
% 206.97/207.85 ! [V_k] :
% 206.97/207.85 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 206.97/207.85 => 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))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__mono,axiom,
% 206.97/207.85 ! [V_g_2,V_f_2,V_xs_2,T_c,T_d] :
% 206.97/207.85 ( ( class_Groups_Omonoid__add(T_d)
% 206.97/207.85 & class_Groups_Oordered__ab__semigroup__add(T_d) )
% 206.97/207.85 => ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(c_List_Omonoid__add__class_Olistsum(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_g_2),V_xs_2)))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_partition__set,axiom,
% 206.97/207.85 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Opartition(T_c,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_yes_2),V_no_2)
% 206.97/207.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_yes_2)),hAPP(c_List_Oset(T_c),V_no_2)) = hAPP(c_List_Oset(T_c),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lists__IntI,axiom,
% 206.97/207.85 ! [V_B_2,V_A_2,V_l_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_l_2),c_List_Olists(T_c,V_A_2)))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_l_2),c_List_Olists(T_c,V_B_2)))
% 206.97/207.85 => hBOOL(hAPP(c_List_Olistsp(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_l_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsp_ONil,axiom,
% 206.97/207.85 ! [V_A_2,T_c] : hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),c_List_Olist_ONil(T_c))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsp_Oequations_I1_J,axiom,
% 206.97/207.85 ! [V_A_2,T_c] : hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),c_List_Olist_ONil(T_c))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_in__listsp__conv__set,axiom,
% 206.97/207.85 ! [V_xs_2,V_A_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),V_xs_2))
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsp__conj__eq,axiom,
% 206.97/207.85 ! [V_x_2,V_B_2,V_A_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Olistsp(T_c,hAPP(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),V_A_2)),V_B_2)),V_x_2))
% 206.97/207.85 <=> ( hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),V_x_2))
% 206.97/207.85 & hBOOL(hAPP(c_List_Olistsp(T_c,V_B_2),V_x_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsp__infI,axiom,
% 206.97/207.85 ! [V_B_2,V_l_2,V_A_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),V_l_2))
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Olistsp(T_c,V_B_2),V_l_2))
% 206.97/207.85 => hBOOL(hAPP(c_List_Olistsp(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsp__inf__eq,axiom,
% 206.97/207.85 ! [V_B_2,V_A_2,T_c] : c_List_Olistsp(T_c,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(tc_List_Olist(T_c),tc_HOL_Obool)),c_List_Olistsp(T_c,V_A_2)),c_List_Olistsp(T_c,V_B_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsp_Oequations_I2_J,axiom,
% 206.97/207.85 ! [V_a2_2,V_a1_2,V_A_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a1_2),V_a2_2)))
% 206.97/207.85 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 206.97/207.85 & hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),V_a2_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_append__in__listsp__conv,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_A_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)))
% 206.97/207.85 <=> ( hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),V_xs_2))
% 206.97/207.85 & hBOOL(hAPP(c_List_Olistsp(T_c,V_A_2),V_ys_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsp__mono,axiom,
% 206.97/207.85 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),c_List_Olistsp(T_c,V_A_2)),c_List_Olistsp(T_c,V_B_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_partition__P,axiom,
% 206.97/207.85 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Opartition(T_c,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_yes_2),V_no_2)
% 206.97/207.85 => ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_yes_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 & ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_no_2)))
% 206.97/207.85 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_partition_Osimps_I1_J,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] : c_List_Opartition(T_c,V_Pa_2,c_List_Olist_ONil(T_c)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),c_List_Olist_ONil(T_c)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsp__lists__eq,axiom,
% 206.97/207.85 ! [V_x_2,V_A_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Olistsp(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)),V_x_2))
% 206.97/207.85 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_x_2),c_List_Olists(T_c,V_A_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_partition_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_Pa_2,T_c] : c_List_Opartition(T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)))),tc_List_Olist(T_c)),c_COMBS(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),tc_fun(tc_List_Olist(T_c),tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)))),tc_List_Olist(T_c)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_fun(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),tc_List_Olist(T_c)),hAPP(c_If(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),tc_List_Olist(T_c)),c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(c_List_Olist_OCons(T_c),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_fun(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)))),tc_List_Olist(T_c)),c_COMBB(tc_List_Olist(T_c),tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_List_Olist(T_c))),c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)))),hAPP(c_List_Olist_OCons(T_c),V_x_2)))),c_List_Opartition(T_c,V_Pa_2,V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lists__Int__eq,axiom,
% 206.97/207.85 ! [V_B_2,V_A_2,T_c] : c_List_Olistsp(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),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_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_c))),c_List_Olists(T_c,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_c))),c_List_Olists(T_c,V_B_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_product_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_x_2,T_d,T_c] : c_Enum_Oproduct(T_c,T_d,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_c,T_d)),hAPP(hAPP(c_List_Omap(T_d,tc_prod(T_c,T_d)),hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_c,T_d,V_xs_2,V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__def,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2)
% 206.97/207.85 <=> ( 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)
% 206.97/207.85 & ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),B_x),hAPP(c_List_Oset(tc_prod(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2))))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__map1,axiom,
% 206.97/207.85 ! [V_bs_2,V_as_2,V_f_2,T_e,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(hAPP(c_List_Omap(T_e,T_c),V_f_2),V_as_2),V_bs_2)
% 206.97/207.85 <=> c_List_Olist__all2(T_e,T_d,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_HOL_Obool),T_e),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__map2,axiom,
% 206.97/207.85 ! [V_bs_2,V_f_2,T_e,V_as_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_e,T_d),V_f_2),V_bs_2))
% 206.97/207.85 <=> c_List_Olist__all2(T_c,T_e,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_HOL_Obool)),T_c),c_COMBB(T_d,tc_HOL_Obool,T_e)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__dropI,axiom,
% 206.97/207.85 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_as_2,V_bs_2)
% 206.97/207.85 => c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_d),V_n_2),V_bs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__appendI,axiom,
% 206.97/207.85 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_a_2,V_b_2)
% 206.97/207.85 => ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_c_2,V_d_2)
% 206.97/207.85 => c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_c),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_d),V_b_2),V_d_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__append,axiom,
% 206.97/207.85 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_d,V_xs_2,T_c] :
% 206.97/207.85 ( 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)
% 206.97/207.85 => ( c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_d),V_ys_2),V_vs_2))
% 206.97/207.85 <=> ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2)
% 206.97/207.85 & c_List_Olist__all2(T_c,T_d,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__Cons,axiom,
% 206.97/207.85 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_d),V_y_2),V_ys_2))
% 206.97/207.85 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 206.97/207.85 & c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__takeI,axiom,
% 206.97/207.85 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2)
% 206.97/207.85 => c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_d),V_n_2),V_ys_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__eq,axiom,
% 206.97/207.85 ! [T_c,V_ys_2,V_xs_2] :
% 206.97/207.85 ( V_xs_2 = V_ys_2
% 206.97/207.85 <=> c_List_Olist__all2(T_c,T_c,c_fequal,V_xs_2,V_ys_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__lengthD,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2)
% 206.97/207.85 => 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) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__Nil,axiom,
% 206.97/207.85 ! [V_ys_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,c_List_Olist_ONil(T_c),V_ys_2)
% 206.97/207.85 <=> V_ys_2 = c_List_Olist_ONil(T_d) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__Nil2,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_d))
% 206.97/207.85 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_product_Osimps_I1_J,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__conv__all__nth,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2)
% 206.97/207.85 <=> ( 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)
% 206.97/207.85 & ! [B_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_d),V_ys_2),B_i))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__nthD,axiom,
% 206.97/207.85 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2)
% 206.97/207.85 => ( 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_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_d),V_ys_2),V_p_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__nthD2,axiom,
% 206.97/207.85 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_d),V_ys_2),V_p_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__update__cong,axiom,
% 206.97/207.85 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_d,V_xs_2,T_c,V_i_2] :
% 206.97/207.85 ( 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_xs_2)))
% 206.97/207.85 => ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 206.97/207.85 => c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_d,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__update__cong2,axiom,
% 206.97/207.85 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2)))
% 206.97/207.85 => c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_d,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__product,axiom,
% 206.97/207.85 ! [V_ys,T_b,V_xs,T_a] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_product__list__set,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,T_d,T_c] : hAPP(c_List_Oset(tc_prod(T_c,T_d)),c_Enum_Oproduct(T_c,T_d,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_List_Oset(T_d),V_ys_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sublists__powset,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(c_Set_Oimage(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool),c_List_Oset(T_c)),hAPP(c_List_Oset(tc_List_Olist(T_c)),c_Enum_Osublists(T_c,V_xs_2))) = hAPP(c_Set_OPow(T_c),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__sublists,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sublists_Osimps_I1_J,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sublists_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] : c_Enum_Osublists(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_c)),tc_List_Olist(tc_List_Olist(T_c))),c_Enum_Osublists(T_c,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_c)),tc_List_Olist(tc_List_Olist(T_c)),tc_List_Olist(tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_c)),tc_fun(tc_List_Olist(tc_List_Olist(T_c)),tc_List_Olist(tc_List_Olist(T_c))),tc_List_Olist(tc_List_Olist(T_c))),c_List_Oappend(tc_List_Olist(T_c))),hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(c_List_Olist_OCons(T_c),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_c))))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__set__sublists,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool)),c_List_Oset(T_c)),c_Enum_Osublists(T_c,V_xs_2)))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__n__lists,axiom,
% 206.97/207.85 ! [V_xs_2,V_n_2,T_c] : hAPP(c_List_Oset(tc_List_Olist(T_c)),c_Enum_On__lists(T_c,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_c)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_c),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_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),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_c)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_c)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool))),c_List_Oset(T_c))),hAPP(c_List_Oset(T_c),V_xs_2)))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_enum__the__def,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] : c_Enum_Oenum__the(T_c,V_Pa_2) = c_HOL_OThe(T_c,V_Pa_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__n__lists,axiom,
% 206.97/207.85 ! [V_n,V_xs,T_a] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_n__lists__Nil,axiom,
% 206.97/207.85 ! [T_a,V_n] :
% 206.97/207.85 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 => 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))) )
% 206.97/207.85 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_n__lists_Osimps_I1_J,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__n__lists,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__n__lists__elem,axiom,
% 206.97/207.85 ! [V_xs_2,V_n_2,V_ys_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_c)),c_Enum_On__lists(T_c,V_n_2,V_xs_2))))
% 206.97/207.85 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) = V_n_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2I,axiom,
% 206.97/207.85 ! [V_Pa_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),B_x),hAPP(c_List_Oset(tc_prod(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_a_2),V_b_2))))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_HOL_Obool),V_Pa_2),B_x)) )
% 206.97/207.85 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_b_2)
% 206.97/207.85 => c_List_Olist__all2(T_c,T_d,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_all__nth__imp__all__set,axiom,
% 206.97/207.85 ! [V_x_2,V_Pa_2,V_xs_2,T_c] :
% 206.97/207.85 ( ! [B_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_i))) )
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 206.97/207.85 ! [V_xs_2,V_y_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_Finite__Set_Ofun__left__comm(T_c,T_d,V_f_2)
% 206.97/207.85 => hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_d,V_f_2),V_y_2),hAPP(c_List_Oset(T_c),V_xs_2)) = hAPP(c_List_Ofoldl(T_d,T_c,hAPP(c_COMBC(T_c,T_d,T_d),V_f_2),V_y_2),c_List_Oremdups(T_c,V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__removeAll__inj__on,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),hAPP(c_List_OremoveAll(T_c,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_d,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__remdups,axiom,
% 206.97/207.85 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__remdups__leq,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__remdups__id,axiom,
% 206.97/207.85 ! [V_xs,T_a] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.85 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__removeAll,axiom,
% 206.97/207.85 ! [V_x,V_xs,T_a] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remdups__id__iff__distinct,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( c_List_Oremdups(T_c,V_xs_2) = V_xs_2
% 206.97/207.85 <=> hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__remdups,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(c_List_Oset(T_c),c_List_Oremdups(T_c,V_xs_2)) = hAPP(c_List_Oset(T_c),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__remdups__eq,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_Oremdups(T_c,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)
% 206.97/207.85 <=> c_List_Oremdups(T_c,V_xs_2) = V_xs_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remdups__remdups,axiom,
% 206.97/207.85 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remdups__eq__nil__iff,axiom,
% 206.97/207.85 ! [V_x_2,T_c] :
% 206.97/207.85 ( c_List_Oremdups(T_c,V_x_2) = c_List_Olist_ONil(T_c)
% 206.97/207.85 <=> V_x_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_removeAll_Osimps_I1_J,axiom,
% 206.97/207.85 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remdups__eq__nil__right__iff,axiom,
% 206.97/207.85 ! [V_x_2,T_c] :
% 206.97/207.85 ( c_List_Olist_ONil(T_c) = c_List_Oremdups(T_c,V_x_2)
% 206.97/207.85 <=> V_x_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remdups_Osimps_I1_J,axiom,
% 206.97/207.85 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_removeAll_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_xs,T_a,V_y,V_x] :
% 206.97/207.85 ( ( V_x = V_y
% 206.97/207.85 => 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) )
% 206.97/207.85 & ( V_x != V_y
% 206.97/207.85 => 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)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_removeAll__append,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remdups__map__remdups,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] : c_List_Oremdups(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_Oremdups(T_d,V_xs_2))) = c_List_Oremdups(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remove1__remdups,axiom,
% 206.97/207.85 ! [V_x,V_xs,T_a] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.85 => 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)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_removeAll__id,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hAPP(c_List_OremoveAll(T_c,V_x_2),V_xs_2) = V_xs_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__remove1__removeAll,axiom,
% 206.97/207.85 ! [V_x,V_xs,T_a] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.85 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remdups_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_Oremdups(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = c_List_Oremdups(T_c,V_xs_2) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_Oremdups(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Oremdups(T_c,V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__remdups__card__conv,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_Oremdups(T_c,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__removeAll__inj,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.85 => hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),hAPP(c_List_OremoveAll(T_c,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_d,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__removeAll,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] : hAPP(c_List_Oset(T_c),hAPP(c_List_OremoveAll(T_c,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__remdups__concat,axiom,
% 206.97/207.85 ! [V_xss_2,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_Oremdups(T_c,c_List_Oconcat(T_c,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_c)),V_xss_2)),c_List_Oset(T_c))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => c_List_Olinorder__class_Osorted__list__of__set(T_c,hAPP(c_List_Oset(T_c),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_c,T_c,c_COMBI(T_c),c_List_Oremdups(T_c,V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sort__key__simps_I1_J,axiom,
% 206.97/207.85 ! [V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => c_List_Olinorder__class_Osort__key(T_c,T_d,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldl__conv__concat,axiom,
% 206.97/207.85 ! [V_xss_2,V_xs_2,T_c] : hAPP(c_List_Ofoldl(tc_List_Olist(T_c),tc_List_Olist(T_c),c_List_Oappend(T_c),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),c_List_Oconcat(T_c,V_xss_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat__conv__foldl,axiom,
% 206.97/207.85 ! [V_xss_2,T_c] : c_List_Oconcat(T_c,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_c),tc_List_Olist(T_c),c_List_Oappend(T_c),c_List_Olist_ONil(T_c)),V_xss_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__sort,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_Olinorder__class_Osort__key(T_c,T_d,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__sort,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => hAPP(c_List_Oset(T_c),c_List_Olinorder__class_Osort__key(T_c,T_d,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_c),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__sort,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_c),c_List_Olinorder__class_Osort__key(T_c,T_d,V_f_2,V_xs_2)))
% 206.97/207.85 <=> hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat_Osimps_I1_J,axiom,
% 206.97/207.85 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat_Osimps_I2_J,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat__eq__Nil__conv,axiom,
% 206.97/207.85 ! [V_xss_2,T_c] :
% 206.97/207.85 ( c_List_Oconcat(T_c,V_xss_2) = c_List_Olist_ONil(T_c)
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_c)),V_xss_2)))
% 206.97/207.85 => B_x = c_List_Olist_ONil(T_c) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Nil__eq__concat__conv,axiom,
% 206.97/207.85 ! [V_xss_2,T_c] :
% 206.97/207.85 ( c_List_Olist_ONil(T_c) = c_List_Oconcat(T_c,V_xss_2)
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_c)),V_xss_2)))
% 206.97/207.85 => B_x = c_List_Olist_ONil(T_c) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__concat,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_Oconcat(T_d,V_xs_2)) = c_List_Oconcat(T_c,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_d),tc_List_Olist(T_c)),hAPP(c_List_Omap(T_d,T_c),V_f_2)),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__concat,axiom,
% 206.97/207.85 ! [V_xss_2,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_Oconcat(T_c,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__concat,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(c_List_Oset(T_c),c_List_Oconcat(T_c,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_c),tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_c)),V_xs_2)),c_List_Oset(T_c)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sort__key__simps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => c_List_Olinorder__class_Osort__key(T_c,T_d,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_d,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_c,T_d,V_f_2,V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat__append,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sort__foldl__insort,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => c_List_Olinorder__class_Osort__key(T_c,T_c,c_COMBI(T_c),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_c),T_c,hAPP(c_COMBC(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c))),c_List_Olist_ONil(T_c)),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat__injective,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.85 ( c_List_Oconcat(T_c,V_xs_2) = c_List_Oconcat(T_c,V_ys_2)
% 206.97/207.85 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_c))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_c))),V_ys_2)
% 206.97/207.85 => ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2))))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_Nat_Onat),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_c),tc_Nat_Onat),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_List_Olist(T_c)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_c)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),B_x)) )
% 206.97/207.85 => V_xs_2 = V_ys_2 ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat__eq__concat__iff,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_xs_2),V_ys_2))))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_Nat_Onat),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_c),tc_Nat_Onat),tc_fun(tc_List_Olist(T_c),tc_HOL_Obool)),tc_List_Olist(T_c)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_c)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),B_x)) )
% 206.97/207.85 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_c))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_c))),V_ys_2)
% 206.97/207.85 => ( c_List_Oconcat(T_c,V_xs_2) = c_List_Oconcat(T_c,V_ys_2)
% 206.97/207.85 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat__map__singleton,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] : c_List_Oconcat(T_c,hAPP(hAPP(c_List_Omap(T_d,tc_List_Olist(T_c)),hAPP(hAPP(c_COMBC(T_d,tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),T_d),c_List_Olist_OCons(T_c)),V_f_2)),c_List_Olist_ONil(T_c))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_n__lists_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_n_2,T_c] : c_Enum_On__lists(T_c,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_c),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_List_Olist(T_c)),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c))),tc_List_Olist(T_c)),c_List_Omap(T_c,tc_List_Olist(T_c))),hAPP(c_COMBC(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_OCons(T_c)))),V_xs_2)),c_Enum_On__lists(T_c,V_n_2,V_xs_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose_Osimps_I3_J,axiom,
% 206.97/207.85 ! [V_xss_2,V_xs_2,V_x_2,T_c] : c_List_Otranspose(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Oconcat(T_c,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_Olist__case(tc_List_Olist(T_c),T_c,c_List_Olist_ONil(T_c),hAPP(hAPP(c_COMBB(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),T_c),c_COMBK(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_OCons(T_c)),c_List_Olist_ONil(T_c))))),V_xss_2)))),c_List_Otranspose(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_c)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_c),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_c)),T_c,c_List_Olist_ONil(tc_List_Olist(T_c)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c))),T_c),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c)),tc_List_Olist(tc_List_Olist(T_c))),c_List_Olist_OCons(tc_List_Olist(T_c))),c_List_Olist_ONil(tc_List_Olist(T_c)))))),V_xss_2))))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__aux__filter__head,axiom,
% 206.97/207.85 ! [V_xss_2,T_c] : c_List_Oconcat(T_c,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_Olist__case(tc_List_Olist(T_c),T_c,c_List_Olist_ONil(T_c),hAPP(hAPP(c_COMBB(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),T_c),c_COMBK(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_OCons(T_c)),c_List_Olist_ONil(T_c))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),T_c),c_List_Ohd(T_c)),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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__concat,axiom,
% 206.97/207.85 ! [V_xs_2,V_p_2,T_c] : hAPP(c_List_Ofilter(T_c,V_p_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_c,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Ofilter(T_c,V_p_2)),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__sort,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,V_Pa_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => hAPP(c_List_Ofilter(T_c,V_Pa_2),c_List_Olinorder__class_Osort__key(T_c,T_d,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_c,T_d,V_f_2,hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__filter,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__is__subset,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_c),V_xs_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__id__conv,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2) = V_xs_2
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sum__length__filter__compl,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__filter__le,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_partition__filter1,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Opartition(T_c,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__filter,axiom,
% 206.97/207.85 ! [V_xs_2,V_Qa_2,V_Pa_2,T_c] : hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(c_List_Ofilter(T_c,V_Qa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_c,hAPP(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),V_Qa_2)),V_Pa_2)),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__remove1,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_Qa_2,T_c] : hAPP(c_List_Ofilter(T_c,V_Qa_2),c_List_Oremove1(T_c,V_x_2,V_xs_2)) = c_List_Oremove1(T_c,V_x_2,hAPP(c_List_Ofilter(T_c,V_Qa_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remove1__filter__not,axiom,
% 206.97/207.85 ! [V_xs_2,T_c,V_x_2,V_Pa_2] :
% 206.97/207.85 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_Oremove1(T_c,V_x_2,hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__insort__triv,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c,V_x_2,V_Pa_2,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_d,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,V_Pa_2,T_c] : hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(c_List_Ofilter(T_d,hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,T_d,V_Pa_2),V_f_2)),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter_Osimps_I1_J,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] : hAPP(c_List_Ofilter(T_c,V_Pa_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_c) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose_Osimps_I1_J,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,T_c,V_x_2,V_Pa_2] :
% 206.97/207.85 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__append,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_Pa_2,T_c] : hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_c),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__empty__conv,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_c)
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_remdups__filter,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : c_List_Oremdups(T_c,hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_c,V_Pa_2),c_List_Oremdups(T_c,V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_removeAll__filter__not,axiom,
% 206.97/207.85 ! [V_xs_2,T_c,V_x_2,V_Pa_2] :
% 206.97/207.85 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => hAPP(c_List_OremoveAll(T_c,V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_removeAll__filter__not__eq,axiom,
% 206.97/207.85 ! [V_x_2,T_c] : c_List_OremoveAll(T_c,V_x_2) = c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_partition__filter2,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Opartition(T_c,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_c,c_fNot),V_Pa_2)),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose_Osimps_I2_J,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nth__transpose,axiom,
% 206.97/207.85 ! [V_xs_2,T_c,V_i_2] :
% 206.97/207.85 ( 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_c))),c_List_Otranspose(T_c,V_xs_2))))
% 206.97/207.85 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_c)),c_List_Otranspose(T_c,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),T_c),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,T_c),c_List_Onth(T_c)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_c)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__map__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] : c_List_Otranspose(T_c,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_d),tc_List_Olist(T_c)),hAPP(c_List_Omap(T_d,T_c),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_d),tc_List_Olist(T_c)),hAPP(c_List_Omap(T_d,T_c),V_f_2)),c_List_Otranspose(T_d,V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__filter,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hAPP(c_List_Oset(T_c),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_c),hAPP(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)),hAPP(c_List_Oset(T_c),V_xs_2)))),V_Pa_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__filter__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,V_Pa_2,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),hAPP(c_List_Ofilter(T_d,hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,T_d,V_Pa_2),V_f_2)),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__filter__less,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_partition__filter__conv,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c] : c_List_Opartition(T_c,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_c,c_fNot),V_f_2)),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__minus__filter__out,axiom,
% 206.97/207.85 ! [V_y_2,V_xs_2,T_c] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_c),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__in__sublist,axiom,
% 206.97/207.85 ! [V_s_2,V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),hAPP(c_List_Oset(T_c),c_List_Osublist(T_c,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_c,V_xs_2,V_s_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__empty,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( c_List_Otranspose(T_c,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_c))
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => B_x = c_List_Olist_ONil(T_c) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__filter__conv__card,axiom,
% 206.97/207.85 ! [V_xs_2,V_p_2,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,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_c)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_c),V_xs_2))))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__aux__filter__tail,axiom,
% 206.97/207.85 ! [V_xss_2,T_c] : c_List_Oconcat(tc_List_Olist(T_c),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_c)),T_c,c_List_Olist_ONil(tc_List_Olist(T_c)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c))),T_c),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c)),tc_List_Olist(tc_List_Olist(T_c))),c_List_Olist_OCons(tc_List_Olist(T_c))),c_List_Olist_ONil(tc_List_Olist(T_c)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Otl(T_c)),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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose_Opsimps_I3_J,axiom,
% 206.97/207.85 ! [V_xss_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_c)),c_List_Otranspose__rel(T_c)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),V_xss_2)))
% 206.97/207.85 => c_List_Otranspose(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Oconcat(T_c,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_Olist__case(tc_List_Olist(T_c),T_c,c_List_Olist_ONil(T_c),hAPP(hAPP(c_COMBB(tc_List_Olist(T_c),tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),T_c),c_COMBK(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_OCons(T_c)),c_List_Olist_ONil(T_c))))),V_xss_2)))),c_List_Otranspose(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_c)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_c),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_c)),T_c,c_List_Olist_ONil(tc_List_Olist(T_c)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c))),T_c),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(tc_List_Olist(T_c)),tc_List_Olist(tc_List_Olist(T_c))),c_List_Olist_OCons(tc_List_Olist(T_c))),c_List_Olist_ONil(tc_List_Olist(T_c)))))),V_xss_2))))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose_Opsimps_I2_J,axiom,
% 206.97/207.85 ! [V_xss_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_c)),c_List_Otranspose__rel(T_c)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),V_xss_2)))
% 206.97/207.85 => c_List_Otranspose(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),V_xss_2)) = c_List_Otranspose(T_c,V_xss_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sublist__shift__lemma__Suc,axiom,
% 206.97/207.85 ! [V_is_2,V_xs_2,V_Pa_2,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,tc_Nat_Onat),T_c),c_Product__Type_Ofst(T_c,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_c,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_c,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_c,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_c,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_c,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,tc_Nat_Onat),T_c),c_Product__Type_Ofst(T_c,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_c,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_c,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_c,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_c,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_select__weigth__drop__zero,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : c_Random_Oselect__weight(T_c,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_c)),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_c,V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pick__drop__zero,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : c_Random_Opick(T_c,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_c)),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_c,V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose_Opsimps_I1_J,axiom,
% 206.97/207.85 ! [T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_c)),c_List_Otranspose__rel(T_c)),c_List_Olist_ONil(tc_List_Olist(T_c))))
% 206.97/207.85 => c_List_Otranspose(T_c,c_List_Olist_ONil(tc_List_Olist(T_c))) = c_List_Olist_ONil(tc_List_Olist(T_c)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__max__length,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : 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))),c_List_Otranspose(T_c,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_c))),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_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__aux__max,axiom,
% 206.97/207.85 ! [V_xss_2,T_d,V_xs_2,T_c] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_d),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_d)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_d))),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_c)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_d),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_d)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_d),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_d)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_d)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_d),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_d)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_d),tc_List_Olist(T_d),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_d)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldr_Osimps_I1_J,axiom,
% 206.97/207.85 ! [V_a_2,V_f_2,T_c,T_d] : c_List_Ofoldr(T_d,T_c,V_f_2,c_List_Olist_ONil(T_d),V_a_2) = V_a_2 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldr_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_c,T_d] : c_List_Ofoldr(T_d,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_d),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_d,T_c,V_f_2,V_xs_2,V_a_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldr__append,axiom,
% 206.97/207.85 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_c,T_d] : c_List_Ofoldr(T_d,T_c,V_f_2,hAPP(hAPP(c_List_Oappend(T_d),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_d,T_c,V_f_2,V_xs_2,c_List_Ofoldr(T_d,T_c,V_f_2,V_ys_2,V_a_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldr__conv__foldl,axiom,
% 206.97/207.85 ! [V_a_2,V_xs_2,T_c] :
% 206.97/207.85 ( class_Groups_Oab__semigroup__add(T_c)
% 206.97/207.85 => c_List_Ofoldr(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldr__map,axiom,
% 206.97/207.85 ! [V_a_2,V_xs_2,V_f_2,T_e,V_g_2,T_c,T_d] : c_List_Ofoldr(T_d,T_c,V_g_2,hAPP(hAPP(c_List_Omap(T_e,T_d),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_e,T_c,hAPP(c_Fun_Ocomp(T_d,tc_fun(T_c,T_c),T_e,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldl__foldr1,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( class_Groups_Omonoid__add(T_c)
% 206.97/207.85 => hAPP(c_List_Ofoldl(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),c_Groups_Ozero__class_Ozero(T_c)),V_xs_2) = c_List_Ofoldr(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),V_xs_2,c_Groups_Ozero__class_Ozero(T_c)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldl__foldr1__lemma,axiom,
% 206.97/207.85 ! [V_xs_2,V_a_2,T_c] :
% 206.97/207.85 ( class_Groups_Omonoid__add(T_c)
% 206.97/207.85 => hAPP(c_List_Ofoldl(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),V_a_2),c_List_Ofoldr(T_c,T_c,c_Groups_Oplus__class_Oplus(T_c),V_xs_2,c_Groups_Ozero__class_Ozero(T_c))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__transpose,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_c))),c_List_Otranspose(T_c,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_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sublist__def,axiom,
% 206.97/207.85 ! [V_A_2,V_xs_2,T_c] : c_List_Osublist(T_c,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,tc_Nat_Onat),T_c),c_Product__Type_Ofst(T_c,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_c,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_c,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_c,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_c,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_c,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_c)),V_xs_2))))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sublist__shift__lemma,axiom,
% 206.97/207.85 ! [V_i_2,V_xs_2,V_A_2,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,tc_Nat_Onat),T_c),c_Product__Type_Ofst(T_c,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_c,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_c,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_c,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_c,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_c,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_c)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,tc_Nat_Onat),T_c),c_Product__Type_Ofst(T_c,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_c,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_c,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_c,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_c,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_c,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_c,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_c,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_c)),V_xs_2))))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__upt,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_atLeastLessThan__upt,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__Suc__append,axiom,
% 206.97/207.85 ! [V_j,V_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => 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))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__Suc,axiom,
% 206.97/207.85 ! [V_j,V_i] :
% 206.97/207.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => 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))) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__add__eq__append,axiom,
% 206.97/207.85 ! [V_k,V_j,V_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => 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))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__rec,axiom,
% 206.97/207.85 ! [V_j,V_i] :
% 206.97/207.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => 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)) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__conv__Cons,axiom,
% 206.97/207.85 ! [V_j,V_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => 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)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__eq__Nil__conv,axiom,
% 206.97/207.85 ! [V_j_2,V_i_2] :
% 206.97/207.85 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 206.97/207.85 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__conv__Nil,axiom,
% 206.97/207.85 ! [V_i,V_j] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 206.97/207.85 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__0,axiom,
% 206.97/207.85 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_take__upt,axiom,
% 206.97/207.85 ! [V_n,V_m,V_i] :
% 206.97/207.85 ( 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))
% 206.97/207.85 => 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)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__list__of__set__range,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_hd__upt,axiom,
% 206.97/207.85 ! [V_j,V_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_drop__upt,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__upt,axiom,
% 206.97/207.85 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__upt,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__rec__number__of,axiom,
% 206.97/207.85 ! [V_n,V_m] :
% 206.97/207.85 ( ( 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)))
% 206.97/207.85 => 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))) )
% 206.97/207.85 & ( ~ 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)))
% 206.97/207.85 => 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) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_upt__eq__Cons__conv,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 206.97/207.85 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 206.97/207.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 206.97/207.85 & V_i_2 = V_x_2
% 206.97/207.85 & 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 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__upt,axiom,
% 206.97/207.85 ! [V_j,V_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => 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)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__Suc__upt,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_atLeastAtMost__upt,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_atLeast__upt,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nth__upt,axiom,
% 206.97/207.85 ! [V_j,V_k,V_i] :
% 206.97/207.85 ( 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))
% 206.97/207.85 => 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) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_greaterThanAtMost__upt,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_greaterThanLessThan__upt,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_atMost__upto,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__nth,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_c),hAPP(c_List_Onth(T_c),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))) = V_xs_2 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 206.97/207.85 ! [V_n_2,V_m_2,V_f_2,T_c] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_c),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_c),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_c),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 206.97/207.85 ! [V_n_2,V_m_2,V_f_2,T_c] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_c)
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_c),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_c),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nth__map__upt,axiom,
% 206.97/207.85 ! [V_f_2,T_c,V_m_2,V_n_2,V_i_2] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_c),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)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__rectangle,axiom,
% 206.97/207.85 ! [V_n_2,T_c,V_xs_2] :
% 206.97/207.85 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_c))
% 206.97/207.85 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.85 => ( ! [B_i] :
% 206.97/207.85 ( 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_c))),V_xs_2)))
% 206.97/207.85 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_c)),V_xs_2),B_i)) = V_n_2 )
% 206.97/207.85 => c_List_Otranspose(T_c,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_c)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_c),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_c)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_c)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_c),hAPP(hAPP(c_COMBB(tc_List_Olist(T_c),tc_fun(tc_Nat_Onat,T_c),tc_Nat_Onat),c_List_Onth(T_c)),hAPP(c_List_Onth(tc_List_Olist(T_c)),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_c))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__key__remove1,axiom,
% 206.97/207.85 ! [V_f_2,V_xs_2,V_a_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_d,hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2))
% 206.97/207.85 => ( hAPP(c_List_Ohd(T_c),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_d,tc_HOL_Obool,T_c),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 206.97/207.85 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_d,V_f_2),V_a_2),c_List_Oremove1(T_c,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted_ONil,axiom,
% 206.97/207.85 ! [T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__single,axiom,
% 206.97/207.85 ! [V_x,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__upt,axiom,
% 206.97/207.85 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__sort,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,c_List_Olinorder__class_Osort__key(T_c,T_c,c_COMBI(T_c),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__insort__insert,axiom,
% 206.97/207.85 ! [V_x_2,V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,V_xs_2)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,c_List_Olinorder__class_Oinsort__insert__key(T_c,T_c,c_COMBI(T_c),V_x_2,V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__drop,axiom,
% 206.97/207.85 ! [V_n,V_xs,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__upto,axiom,
% 206.97/207.85 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__take,axiom,
% 206.97/207.85 ! [V_n,V_xs,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__remove1,axiom,
% 206.97/207.85 ! [V_a,V_xs,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__tl,axiom,
% 206.97/207.85 ! [V_xs,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__insort,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c)),V_x_2),V_xs_2))
% 206.97/207.85 <=> c_List_Olinorder__class_Osorted(T_c,V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__butlast,axiom,
% 206.97/207.85 ! [V_xs,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted_Oequations_I1_J,axiom,
% 206.97/207.85 ! [T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__many,axiom,
% 206.97/207.85 ! [V_zs,V_y,V_x,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 206.97/207.85 => 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))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__many__eq,axiom,
% 206.97/207.85 ! [V_zs_2,V_y_2,V_x_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_zs_2)))
% 206.97/207.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),V_y_2))
% 206.97/207.85 & c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_zs_2)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__remdups,axiom,
% 206.97/207.85 ! [V_l,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__distinct__set__unique,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,V_xs_2)
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,V_ys_2)
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_c),V_ys_2))
% 206.97/207.85 => ( hAPP(c_List_Oset(T_c),V_xs_2) = hAPP(c_List_Oset(T_c),V_ys_2)
% 206.97/207.85 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__sort__key,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_Olinorder__class_Osort__key(T_d,T_c,V_f_2,V_xs_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__insort__insert__key,axiom,
% 206.97/207.85 ! [V_x_2,V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_d,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__map__remove1,axiom,
% 206.97/207.85 ! [V_x_2,V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_Oremove1(T_d,V_x_2,V_xs_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__insort__key,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_x_2),V_xs_2)))
% 206.97/207.85 <=> c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__filter,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(c_List_Ofilter(T_d,V_Pa_2),V_xs_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__map__same,axiom,
% 206.97/207.85 ! [V_xs_2,V_g_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(c_List_Ofilter(T_d,hAPP(hAPP(c_COMBC(T_d,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_d),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__same,axiom,
% 206.97/207.85 ! [V_xs_2,V_g_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__Cons,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))
% 206.97/207.85 <=> ( c_List_Olinorder__class_Osorted(T_c,V_xs_2)
% 206.97/207.85 & ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),B_x)) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__append,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2))
% 206.97/207.85 <=> ( c_List_Olinorder__class_Osorted(T_c,V_xs_2)
% 206.97/207.85 & c_List_Olinorder__class_Osorted(T_c,V_ys_2)
% 206.97/207.85 & ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => ! [B_xa] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),hAPP(c_List_Oset(T_c),V_ys_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),B_x),B_xa)) ) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__insort,axiom,
% 206.97/207.85 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2))
% 206.97/207.85 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => hAPP(c_List_Ofilter(T_d,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_d,T_c,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_d,V_Pa_2),V_xs_2)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted_Oequations_I2_J,axiom,
% 206.97/207.85 ! [V_a1_2,V_a2_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_a2_2),V_a1_2))
% 206.97/207.85 <=> ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_a1_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_a2_2),B_x)) )
% 206.97/207.85 & c_List_Olinorder__class_Osorted(T_c,V_a1_2) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__list__of__set,axiom,
% 206.97/207.85 ! [V_A_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.85 => ( hAPP(c_List_Oset(T_c),c_List_Olinorder__class_Osorted__list__of__set(T_c,V_A_2)) = V_A_2
% 206.97/207.85 & c_List_Olinorder__class_Osorted(T_c,c_List_Olinorder__class_Osorted__list__of__set(T_c,V_A_2))
% 206.97/207.85 & hBOOL(hAPP(c_List_Odistinct(T_c),c_List_Olinorder__class_Osorted__list__of__set(T_c,V_A_2))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__remove1,axiom,
% 206.97/207.85 ! [V_xs_2,V_a_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,V_xs_2)
% 206.97/207.85 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_c,c_COMBI(T_c)),V_a_2),c_List_Oremove1(T_c,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__equals__nth__mono,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,V_xs_2)
% 206.97/207.85 <=> ! [B_j] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => ! [B_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_j))) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__nth__mono,axiom,
% 206.97/207.85 ! [V_j,V_i,V_xs,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => ( 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)))
% 206.97/207.85 => 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))) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__sorted__distinct__set__unique,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => ( c_Fun_Oinj__on(T_c,T_d,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)))
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_d,hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2))
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2)))
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_d,hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_ys_2))
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_ys_2)))
% 206.97/207.85 => ( hAPP(c_List_Oset(T_c),V_xs_2) = hAPP(c_List_Oset(T_c),V_ys_2)
% 206.97/207.85 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__column,axiom,
% 206.97/207.85 ! [V_i_2,V_xs_2,T_c] :
% 206.97/207.85 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xs_2)))
% 206.97/207.85 => ( 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_c))),V_xs_2)))
% 206.97/207.85 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),T_c),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,T_c),c_List_Onth(T_c)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_c)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),c_List_Otranspose(T_c,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_c)),V_xs_2),V_i_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nth__nth__transpose__sorted,axiom,
% 206.97/207.85 ! [V_j_2,V_i_2,V_xs_2,T_c] :
% 206.97/207.85 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xs_2)))
% 206.97/207.85 => ( 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_c))),c_List_Otranspose(T_c,V_xs_2))))
% 206.97/207.85 => ( 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_c))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_c)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),V_xs_2))))
% 206.97/207.85 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_c)),c_List_Otranspose(T_c,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_c)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_inj__on__rev,axiom,
% 206.97/207.85 ! [V_A_2,T_c] : c_Fun_Oinj__on(tc_List_Olist(T_c),tc_List_Olist(T_c),c_List_Orev(T_c),V_A_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__rev,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(c_List_Orev(T_c),V_xs_2)))
% 206.97/207.85 <=> hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__is__Nil__conv,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( hAPP(c_List_Orev(T_c),V_xs_2) = c_List_Olist_ONil(T_c)
% 206.97/207.85 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Nil__is__rev__conv,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( c_List_Olist_ONil(T_c) = hAPP(c_List_Orev(T_c),V_xs_2)
% 206.97/207.85 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev_Osimps_I1_J,axiom,
% 206.97/207.85 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_singleton__rev__conv,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c)) = hAPP(c_List_Orev(T_c),V_xs_2)
% 206.97/207.85 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__singleton__conv,axiom,
% 206.97/207.85 ! [V_x_2,V_xs_2,T_c] :
% 206.97/207.85 ( hAPP(c_List_Orev(T_c),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c))
% 206.97/207.85 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_Olist_ONil(T_c)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__append,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__concat,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(c_List_Orev(T_c),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_c,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Orev(T_c)),hAPP(c_List_Orev(tc_List_Olist(T_c)),V_xs_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] : hAPP(c_List_Orev(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),hAPP(c_List_Orev(T_d),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__filter,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hAPP(c_List_Orev(T_c),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__rev,axiom,
% 206.97/207.85 ! [V_ys,T_b,V_xs,T_a] :
% 206.97/207.85 ( 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)
% 206.97/207.85 => 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)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__rev,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(c_List_Oset(T_c),hAPP(c_List_Orev(T_c),V_xs_2)) = hAPP(c_List_Oset(T_c),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__rev,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(c_List_Orev(T_c),V_xs_2),hAPP(c_List_Orev(T_d),V_ys_2))
% 206.97/207.85 <=> c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__rev1,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] :
% 206.97/207.85 ( c_List_Olist__all2(T_c,T_d,V_Pa_2,hAPP(c_List_Orev(T_c),V_xs_2),V_ys_2)
% 206.97/207.85 <=> c_List_Olist__all2(T_c,T_d,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_d),V_ys_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__rev__ident,axiom,
% 206.97/207.85 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__swap,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.85 ( hAPP(c_List_Orev(T_c),V_xs_2) = V_ys_2
% 206.97/207.85 <=> V_xs_2 = hAPP(c_List_Orev(T_c),V_ys_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__is__rev__conv,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,T_c] :
% 206.97/207.85 ( hAPP(c_List_Orev(T_c),V_xs_2) = hAPP(c_List_Orev(T_c),V_ys_2)
% 206.97/207.85 <=> V_xs_2 = V_ys_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__rev,axiom,
% 206.97/207.85 ! [V_xs,T_a] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_a)
% 206.97/207.85 => 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) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__rev,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldr__foldl,axiom,
% 206.97/207.85 ! [V_a_2,V_xs_2,V_f_2,T_c,T_d] : c_List_Ofoldr(T_d,T_c,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_c,T_d,hAPP(c_COMBC(T_d,T_c,T_c),V_f_2),V_a_2),hAPP(c_List_Orev(T_d),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldl__foldr,axiom,
% 206.97/207.85 ! [V_xs_2,V_a_2,V_f_2,T_d,T_c] : hAPP(c_List_Ofoldl(T_c,T_d,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_d,T_c,hAPP(c_COMBC(T_c,T_d,T_c),V_f_2),hAPP(c_List_Orev(T_d),V_xs_2),V_a_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__eq__Cons__iff,axiom,
% 206.97/207.85 ! [V_ys_2,V_y_2,V_xs_2,T_c] :
% 206.97/207.85 ( hAPP(c_List_Orev(T_c),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)
% 206.97/207.85 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),hAPP(c_List_Orev(T_c),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),c_List_Olist_ONil(T_c))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev_Osimps_I2_J,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_hd__rev,axiom,
% 206.97/207.85 ! [T_a,V_xs] :
% 206.97/207.85 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.85 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__rev,axiom,
% 206.97/207.85 ! [T_a,V_xs] :
% 206.97/207.85 ( V_xs != c_List_Olist_ONil(T_a)
% 206.97/207.85 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__transpose,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),c_List_Otranspose(T_c,V_xs_2)))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__foldl__cons,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] : hAPP(c_List_Orev(T_c),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_c),T_c,hAPP(c_COMBC(T_c,tc_List_Olist(T_c),tc_List_Olist(T_c)),c_List_Olist_OCons(T_c)),c_List_Olist_ONil(T_c)),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__drop,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__take,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rotate__rev,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__nth,axiom,
% 206.97/207.85 ! [V_xs,T_a,V_n] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 => 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))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__update,axiom,
% 206.97/207.85 ! [V_y,V_xs,T_a,V_k] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 => 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) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__rev__nth__mono,axiom,
% 206.97/207.85 ! [V_j,V_i,V_xs,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 206.97/207.85 => ( 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)))
% 206.97/207.85 => 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))) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldr__max__sorted,axiom,
% 206.97/207.85 ! [V_y_2,V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(c_List_Orev(T_c),V_xs_2))
% 206.97/207.85 => ( ( V_xs_2 = c_List_Olist_ONil(T_c)
% 206.97/207.85 => c_List_Ofoldr(T_c,T_c,c_Orderings_Oord__class_Omax(T_c),V_xs_2,V_y_2) = V_y_2 )
% 206.97/207.85 & ( V_xs_2 != c_List_Olist_ONil(T_c)
% 206.97/207.85 => c_List_Ofoldr(T_c,T_c,c_Orderings_Oord__class_Omax(T_c),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(hAPP(c_List_Onth(T_c),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__transpose__sorted,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xs_2)))
% 206.97/207.85 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_c))
% 206.97/207.85 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_c))),c_List_Otranspose(T_c,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 206.97/207.85 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_c))
% 206.97/207.85 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_c))),c_List_Otranspose(T_c,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_c)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__column__length,axiom,
% 206.97/207.85 ! [V_i_2,V_xs_2,T_c] :
% 206.97/207.85 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xs_2)))
% 206.97/207.85 => ( 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_c))),V_xs_2)))
% 206.97/207.85 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_c))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_c)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),c_List_Otranspose(T_c,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_c)),V_xs_2),V_i_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transpose__transpose,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xs_2)))
% 206.97/207.85 => c_List_Otranspose(T_c,c_List_Otranspose(T_c,V_xs_2)) = c_List_OtakeWhile(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_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 206.97/207.85 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__takeWhile,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,V_xs_2)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__takeWhile__le,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__takeWhileD,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2))))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__eq__all__conv,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2) = V_xs_2
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__takeWhile__snd,axiom,
% 206.97/207.85 ! [V_ys_2,V_Pa_2,V_xs_2,T_d,T_c] : hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),c_List_OtakeWhile(T_d,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_c,T_d),hAPP(c_Fun_Ocomp(T_d,tc_HOL_Obool,tc_prod(T_c,T_d),V_Pa_2),c_Product__Type_Osnd(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__takeWhile__fst,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_Pa_2,T_d,T_c] : hAPP(hAPP(c_List_Ozip(T_c,T_d),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_c,T_d),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_c,T_d),V_Pa_2),c_Product__Type_Ofst(T_c,T_d)),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,V_Pa_2,T_c] : c_List_OtakeWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_OtakeWhile(T_d,hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,T_d,V_Pa_2),V_f_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__tail,axiom,
% 206.97/207.85 ! [V_l_2,V_xs_2,T_c,V_x_2,V_Pa_2] :
% 206.97/207.85 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_OtakeWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_l_2))) = c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,T_c,V_x_2,V_Pa_2] :
% 206.97/207.85 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_OtakeWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2)) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_OtakeWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_c) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] : c_List_OtakeWhile(T_c,V_Pa_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_c) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__eq__take,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2))),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__takeWhile,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(T_c),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_return__list__def,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__append1,axiom,
% 206.97/207.85 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_OtakeWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__nth,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c,V_j_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2))))
% 206.97/207.85 => hAPP(hAPP(c_List_Onth(T_c),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_j_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nth__length__takeWhile,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2))))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__not__last,axiom,
% 206.97/207.85 ! [T_c,V_xs_2] :
% 206.97/207.85 ( V_xs_2 != c_List_Olist_ONil(T_c)
% 206.97/207.85 => ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),c_List_Olast(T_c,V_xs_2))),V_xs_2) = c_List_Obutlast(T_c,V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 206.97/207.85 ! [V_t_2,V_xs_2,V_f_2,T_d,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(c_List_Orev(T_c),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)))
% 206.97/207.85 => hAPP(c_List_Ofilter(T_d,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_d),hAPP(c_Orderings_Oord__class_Oless(T_c),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_d,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_d),hAPP(c_Orderings_Oord__class_Oless(T_c),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 206.97/207.85 ! [V_l] :
% 206.97/207.85 ( c_List_Onat__list(V_l)
% 206.97/207.85 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_embed__list__def,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__neq__rev,axiom,
% 206.97/207.85 ! [V_x_2,V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_c),V_xs_2)) = hAPP(c_List_Orev(T_c),hAPP(c_List_Otl(T_c),c_List_OdropWhile(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile__neq__rev,axiom,
% 206.97/207.85 ! [V_x_2,V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_OdropWhile(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_c),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(c_List_Orev(T_c),c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__dropWhile__id,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hAPP(hAPP(c_List_Oappend(T_c),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_c,V_Pa_2,V_xs_2)) = V_xs_2 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_hd__dropWhile,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_OdropWhile(T_c,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_c)
% 206.97/207.85 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_c),c_List_OdropWhile(T_c,V_Pa_2,V_xs_2)))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__dropWhile,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,V_xs_2)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,c_List_OdropWhile(T_c,V_Pa_2,V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__dropWhile__le,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_OdropWhile(T_c,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_OdropWhile(T_c,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_c)
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,T_c,V_x_2,V_Pa_2] :
% 206.97/207.85 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_OdropWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = c_List_OdropWhile(T_c,V_Pa_2,V_xs_2) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_OdropWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] : c_List_OdropWhile(T_c,V_Pa_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_c) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__dropWhile,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(T_c),c_List_OdropWhile(T_c,V_Pa_2,V_xs_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile__map,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,V_Pa_2,T_c] : c_List_OdropWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_OdropWhile(T_d,hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,T_d,V_Pa_2),V_f_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile__append1,axiom,
% 206.97/207.85 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_OdropWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_c),c_List_OdropWhile(T_c,V_Pa_2,V_xs_2)),V_ys_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 206.97/207.85 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_OdropWhile(T_c,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)
% 206.97/207.85 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))
% 206.97/207.85 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile__eq__drop,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] : c_List_OdropWhile(T_c,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_c),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2))),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile__nth,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c,V_j_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),c_List_OdropWhile(T_c,V_Pa_2,V_xs_2))))
% 206.97/207.85 => hAPP(hAPP(c_List_Onth(T_c),c_List_OdropWhile(T_c,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_c),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_c)),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2)))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_listsum__map__filter,axiom,
% 206.97/207.85 ! [V_f_2,V_Pa_2,V_xs_2,T_c,T_d] :
% 206.97/207.85 ( class_Groups_Omonoid__add(T_d)
% 206.97/207.85 => ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.85 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_d) ) )
% 206.97/207.85 => hAPP(c_List_Omonoid__add__class_Olistsum(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_d),hAPP(hAPP(c_List_Omap(T_c,T_d),V_f_2),V_xs_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted__nth__monoI,axiom,
% 206.97/207.85 ! [V_xs,T_a] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_a)
% 206.97/207.85 => ( ! [B_i,B_j] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 206.97/207.85 => ( 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)))
% 206.97/207.85 => 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))) ) )
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__eq__filter,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),c_List_OdropWhile(T_c,V_Pa_2,V_xs_2))))
% 206.97/207.85 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 => c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,T_c,V_n_2] :
% 206.97/207.85 ( ! [B_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_i))) ) )
% 206.97/207.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_n_2))) )
% 206.97/207.85 => c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__takeWhile__less__P__nth,axiom,
% 206.97/207.85 ! [V_xs_2,T_c,V_Pa_2,V_j_2] :
% 206.97/207.85 ( ! [B_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_i))) )
% 206.97/207.85 => ( 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_c)),V_xs_2)))
% 206.97/207.85 => 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_c)),c_List_OtakeWhile(T_c,V_Pa_2,V_xs_2)))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted_Osimps,axiom,
% 206.97/207.85 ! [V_a_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,V_a_2)
% 206.97/207.85 <=> ( V_a_2 = c_List_Olist_ONil(T_c)
% 206.97/207.85 | ? [B_xs,B_x] :
% 206.97/207.85 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_c),B_x),B_xs)
% 206.97/207.85 & ! [B_xa] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),hAPP(c_List_Oset(T_c),B_xs)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),B_x),B_xa)) )
% 206.97/207.85 & c_List_Olinorder__class_Osorted(T_c,B_xs) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_List_Oinsert__def,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_Oinsert(T_c,V_x_2,V_xs_2) = V_xs_2 )
% 206.97/207.85 & ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_Oinsert(T_c,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_not__in__set__insert,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_Oinsert(T_c,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insert__remdups,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__insert,axiom,
% 206.97/207.85 ! [V_x,V_xs,T_a] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_in__set__insert,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => c_List_Oinsert(T_c,V_x_2,V_xs_2) = V_xs_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_List_Oset__insert,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] : hAPP(c_List_Oset(T_c),c_List_Oinsert(T_c,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insert__Nil,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_maps__def,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_c,T_d] : c_List_Omaps(T_d,T_c,V_f_2,V_xs_2) = c_List_Oconcat(T_c,hAPP(hAPP(c_List_Omap(T_d,tc_List_Olist(T_c)),V_f_2),V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat__map__maps,axiom,
% 206.97/207.85 ! [V_xs_2,V_f_2,T_d,T_c] : c_List_Oconcat(T_c,hAPP(hAPP(c_List_Omap(T_d,tc_List_Olist(T_c)),V_f_2),V_xs_2)) = c_List_Omaps(T_d,T_c,V_f_2,V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_maps__simps_I2_J,axiom,
% 206.97/207.85 ! [V_f_2,T_c,T_d] : c_List_Omaps(T_d,T_c,V_f_2,c_List_Olist_ONil(T_d)) = c_List_Olist_ONil(T_c) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_maps__simps_I1_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_f_2,T_c,T_d] : c_List_Omaps(T_d,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_d),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_c),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_d,T_c,V_f_2,V_xs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_distinct__concat,axiom,
% 206.97/207.85 ! [V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_c)),V_xs_2))
% 206.97/207.85 => ( ! [B_ys] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(T_c),B_ys)) )
% 206.97/207.85 => ( ! [B_ys] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => ! [B_zs] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => ( B_ys != B_zs
% 206.97/207.85 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),B_ys)),hAPP(c_List_Oset(T_c),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 206.97/207.85 => hBOOL(hAPP(c_List_Odistinct(T_c),c_List_Oconcat(T_c,V_xs_2))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_measures__lesseq,axiom,
% 206.97/207.85 ! [V_fs_2,T_c,V_y_2,V_x_2,V_f_2] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_List_Omeasures(T_c,V_fs_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_List_Omeasures(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_c,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_wf__measures,axiom,
% 206.97/207.85 ! [V_fs_2,T_c] : c_Wellfounded_Owf(T_c,c_List_Omeasures(T_c,V_fs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_in__measures_I1_J,axiom,
% 206.97/207.85 ! [V_y_2,V_x_2,T_c] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_List_Omeasures(T_c,c_List_Olist_ONil(tc_fun(T_c,tc_Nat_Onat))))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_measures__def,axiom,
% 206.97/207.85 ! [V_fs_2,T_c] : c_List_Omeasures(T_c,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_c),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(tc_fun(T_c,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_c,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_c),c_List_Omap(tc_fun(T_c,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_c,tc_Nat_Onat),T_c,tc_Nat_Onat),c_COMBI(tc_fun(T_c,tc_Nat_Onat))))),V_fs_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_in__measures_I2_J,axiom,
% 206.97/207.85 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_List_Omeasures(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_c,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 206.97/207.85 <=> ( 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)))
% 206.97/207.85 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 206.97/207.85 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_List_Omeasures(T_c,V_fs_2))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_measures__less,axiom,
% 206.97/207.85 ! [V_fs_2,T_c,V_y_2,V_x_2,V_f_2] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_x_2),V_y_2)),c_List_Omeasures(T_c,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_c,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_foldl__apply,axiom,
% 206.97/207.85 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_d,T_e,V_xs_2,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hAPP(c_Fun_Ocomp(T_e,T_e,T_d,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_d,T_e,T_d,V_h_2),hAPP(V_g_2,B_x)) )
% 206.97/207.85 => hAPP(c_List_Ofoldl(T_e,T_c,hAPP(c_COMBC(T_c,T_e,T_e),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_d,T_c,hAPP(c_COMBC(T_c,T_d,T_d),V_g_2),V_s_2),V_xs_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_order__fun_I2_J,axiom,
% 206.97/207.85 ! [V_g_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( ( class_Orderings_Oorder(T_d)
% 206.97/207.85 & class_Enum_Oenum(T_c) )
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,T_d)),V_f_2),V_g_2))
% 206.97/207.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,T_d)),V_f_2),V_g_2))
% 206.97/207.85 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBS(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_c),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_enum__ex__prod__def,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c,T_d] :
% 206.97/207.85 ( ( class_Enum_Oenum(T_d)
% 206.97/207.85 & class_Enum_Oenum(T_c) )
% 206.97/207.85 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_c,T_d)),V_Pa_2))
% 206.97/207.85 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_Enum_Oenum__class_Oenum__ex(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_HOL_Obool,T_d),V_Pa_2)),c_Product__Type_OPair(T_c,T_d))))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_enum__ex,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] :
% 206.97/207.85 ( class_Enum_Oenum(T_c)
% 206.97/207.85 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_c),V_Pa_2))
% 206.97/207.85 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_exists__code,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] :
% 206.97/207.85 ( class_Enum_Oenum(T_c)
% 206.97/207.85 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 206.97/207.85 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_c),V_Pa_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__obtain__same__length,axiom,
% 206.97/207.85 ! [V_Pa_2,V_ys_2,T_d,V_xs_2,T_c] :
% 206.97/207.85 ( ( 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_c)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),hAPP(hAPP(c_List_Otake(T_d),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),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))),V_ys_2))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_c,T_d),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_c)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_d),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),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))),V_ys_2)))) )
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pos__not__random__dseq__def,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_dropWhile__append2,axiom,
% 206.97/207.85 ! [V_ys_2,V_Pa_2,V_xs_2,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 => c_List_OdropWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_c,V_Pa_2,V_ys_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all2__all__nthI,axiom,
% 206.97/207.85 ! [V_Pa_2,V_b_2,T_d,V_a_2,T_c] :
% 206.97/207.85 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_b_2)
% 206.97/207.85 => ( ! [B_n] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_a_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_d),V_b_2),B_n))) )
% 206.97/207.85 => c_List_Olist__all2(T_c,T_d,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_finite__sorted__distinct__unique,axiom,
% 206.97/207.85 ! [V_A_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.85 => ? [B_x] :
% 206.97/207.85 ( hAPP(c_List_Oset(T_c),B_x) = V_A_2
% 206.97/207.85 & c_List_Olinorder__class_Osorted(T_c,B_x)
% 206.97/207.85 & hBOOL(hAPP(c_List_Odistinct(T_c),B_x))
% 206.97/207.85 & ! [B_y] :
% 206.97/207.85 ( ( hAPP(c_List_Oset(T_c),B_y) = V_A_2
% 206.97/207.85 & c_List_Olinorder__class_Osorted(T_c,B_y)
% 206.97/207.85 & hBOOL(hAPP(c_List_Odistinct(T_c),B_y)) )
% 206.97/207.85 => B_y = B_x ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_takeWhile__append2,axiom,
% 206.97/207.85 ! [V_ys_2,V_Pa_2,V_xs_2,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 => c_List_OtakeWhile(T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_insort__is__Cons,axiom,
% 206.97/207.85 ! [V_a_2,V_f_2,V_xs_2,T_c,T_d] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_d)
% 206.97/207.85 => ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_d),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 206.97/207.85 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_d,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Cons__eq__filter__iff,axiom,
% 206.97/207.85 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_c,V_Pa_2),V_ys_2)
% 206.97/207.85 <=> ? [B_us,B_vs] :
% 206.97/207.85 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_c),B_us),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),B_vs))
% 206.97/207.85 & ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),B_us)))
% 206.97/207.85 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 & V_xs_2 = hAPP(c_List_Ofilter(T_c,V_Pa_2),B_vs) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__eq__Cons__iff,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_c] :
% 206.97/207.85 ( hAPP(c_List_Ofilter(T_c,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)
% 206.97/207.85 <=> ? [B_us,B_vs] :
% 206.97/207.85 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_c),B_us),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),B_vs))
% 206.97/207.85 & ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),B_us)))
% 206.97/207.85 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 & V_xs_2 = hAPP(c_List_Ofilter(T_c,V_Pa_2),B_vs) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_order__fun_I1_J,axiom,
% 206.97/207.85 ! [V_g_2,V_f_2,T_c,T_d] :
% 206.97/207.85 ( ( class_Orderings_Oorder(T_d)
% 206.97/207.85 & class_Enum_Oenum(T_c) )
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,T_d)),V_f_2),V_g_2))
% 206.97/207.85 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_c),hAPP(hAPP(c_COMBS(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_c),c_Orderings_Oord__class_Oless__eq(T_d)),V_f_2)),V_g_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_all__code,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] :
% 206.97/207.85 ( class_Enum_Oenum(T_c)
% 206.97/207.85 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 206.97/207.85 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_c),V_Pa_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_enum__all,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] :
% 206.97/207.85 ( class_Enum_Oenum(T_c)
% 206.97/207.85 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_c),V_Pa_2))
% 206.97/207.85 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_enum__all__prod__def,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c,T_d] :
% 206.97/207.85 ( ( class_Enum_Oenum(T_d)
% 206.97/207.85 & class_Enum_Oenum(T_c) )
% 206.97/207.85 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_c,T_d)),V_Pa_2))
% 206.97/207.85 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_Enum_Oenum__class_Oenum__all(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_HOL_Obool,T_d),V_Pa_2)),c_Product__Type_OPair(T_c,T_d))))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ball__nth,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,T_c,V_n_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),V_n_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_sorted_OCons,axiom,
% 206.97/207.85 ! [V_x_2,V_xs_2,T_c] :
% 206.97/207.85 ( class_Orderings_Olinorder(T_c)
% 206.97/207.85 => ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_x_2),B_x)) )
% 206.97/207.85 => ( c_List_Olinorder__class_Osorted(T_c,V_xs_2)
% 206.97/207.85 => c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex__length,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__ex(T_c,V_Pa_2,V_xs_2)
% 206.97/207.85 <=> ? [B_n] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_n))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_in__set__conv__decomp,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),B_zs)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex__simps_I2_J,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] : ~ c_List_Olist__ex(T_c,V_Pa_2,c_List_Olist_ONil(T_c)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex__append,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__ex(T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2))
% 206.97/207.85 <=> ( c_List_Olist__ex(T_c,V_Pa_2,V_xs_2)
% 206.97/207.85 | c_List_Olist__ex(T_c,V_Pa_2,V_ys_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex__iff,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__ex(T_c,V_Pa_2,V_xs_2)
% 206.97/207.85 <=> ? [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex__rev,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__ex(T_c,V_Pa_2,hAPP(c_List_Orev(T_c),V_xs_2))
% 206.97/207.85 <=> c_List_Olist__ex(T_c,V_Pa_2,V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex__simps_I1_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__ex(T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))
% 206.97/207.85 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 | c_List_Olist__ex(T_c,V_Pa_2,V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_in__set__conv__decomp__first,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 <=> ? [B_ys] :
% 206.97/207.85 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),B_zs))
% 206.97/207.85 & ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),B_ys))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_in__set__conv__decomp__last,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 <=> ? [B_ys,B_zs] :
% 206.97/207.85 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_c),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),B_zs))
% 206.97/207.85 & ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),B_zs))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all__length,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__all(T_c,V_Pa_2,V_xs_2)
% 206.97/207.85 <=> ! [B_n] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_c),V_xs_2),B_n))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_measure__function__int,axiom,
% 206.97/207.85 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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all__simps_I2_J,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] : c_List_Olist__all(T_c,V_Pa_2,c_List_Olist_ONil(T_c)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all__append,axiom,
% 206.97/207.85 ! [V_ys_2,V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__all(T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2))
% 206.97/207.85 <=> ( c_List_Olist__all(T_c,V_Pa_2,V_xs_2)
% 206.97/207.85 & c_List_Olist__all(T_c,V_Pa_2,V_ys_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_measure__size,axiom,
% 206.97/207.85 ! [T_c] :
% 206.97/207.85 ( class_Nat_Osize(T_c)
% 206.97/207.85 => c_FunDef_Ois__measure(T_c,c_Nat_Osize__class_Osize(T_c)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_is__measure_Osimps,axiom,
% 206.97/207.85 ! [V_a_2,T_c] : c_FunDef_Ois__measure(T_c,V_a_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_is__measure_Oequations,axiom,
% 206.97/207.85 ! [V_a_2,T_c] : c_FunDef_Ois__measure(T_c,V_a_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_is__measure_Ointros,axiom,
% 206.97/207.85 ! [V_f_2,T_c] : c_FunDef_Ois__measure(T_c,V_f_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all__iff,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__all(T_c,V_Pa_2,V_xs_2)
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_measure__fst,axiom,
% 206.97/207.85 ! [T_d,V_f_2,T_c] :
% 206.97/207.85 ( c_FunDef_Ois__measure(T_c,V_f_2)
% 206.97/207.85 => c_FunDef_Ois__measure(tc_prod(T_c,T_d),hAPP(hAPP(c_COMBB(T_c,tc_Nat_Onat,tc_prod(T_c,T_d)),V_f_2),c_Product__Type_Ofst(T_c,T_d))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_measure__snd,axiom,
% 206.97/207.85 ! [T_d,V_f_2,T_c] :
% 206.97/207.85 ( c_FunDef_Ois__measure(T_c,V_f_2)
% 206.97/207.85 => c_FunDef_Ois__measure(tc_prod(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_Nat_Onat,tc_prod(T_d,T_c)),V_f_2),c_Product__Type_Osnd(T_d,T_c))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all__rev,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__all(T_c,V_Pa_2,hAPP(c_List_Orev(T_c),V_xs_2))
% 206.97/207.85 <=> c_List_Olist__all(T_c,V_Pa_2,V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all__simps_I1_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__all(T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))
% 206.97/207.85 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 & c_List_Olist__all(T_c,V_Pa_2,V_xs_2) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Ball__set__list__all,axiom,
% 206.97/207.85 ! [V_Pa_2,V_xs_2,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 <=> c_List_Olist__all(T_c,V_Pa_2,V_xs_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all__iff__raw,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__all(T_c,V_Pa_2,V_xs_2)
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex1__simps_I2_J,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__ex1(T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2))
% 206.97/207.85 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_Olist__all(T_c,hAPP(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_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => c_List_Olist__ex1(T_c,V_Pa_2,V_xs_2) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transfer__morphism__int__nat,axiom,
% 206.97/207.85 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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex1__simps_I1_J,axiom,
% 206.97/207.85 ! [V_Pa_2,T_c] : ~ c_List_Olist__ex1(T_c,V_Pa_2,c_List_Olist_ONil(T_c)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_bool_Osize_I4_J,axiom,
% 206.97/207.85 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_bool_Osize_I3_J,axiom,
% 206.97/207.85 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex1__iff,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__ex1(T_c,V_Pa_2,V_xs_2)
% 206.97/207.85 <=> ? [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.85 & ! [B_y] :
% 206.97/207.85 ( ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 206.97/207.85 => B_y = B_x ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 206.97/207.85 ! [V_f_2,V_x_2,T_c,T_d,V_i_2] :
% 206.97/207.85 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.85 => hAPP(c_New__DSequence_Oneg__decr__bind(T_d,T_c,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_c) )
% 206.97/207.85 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.85 => hAPP(c_New__DSequence_Oneg__decr__bind(T_d,T_c,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_d,T_c,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_d,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_c))),V_f_2),V_i_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 206.97/207.85 ! [V_f_2,V_x_2,T_c,T_d,V_i_2] :
% 206.97/207.85 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.85 => hAPP(c_New__DSequence_Opos__decr__bind(T_d,T_c,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_c) )
% 206.97/207.85 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 206.97/207.85 => hAPP(c_New__DSequence_Opos__decr__bind(T_d,T_c,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_d,T_c,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_d,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2),V_i_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 206.97/207.85 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_c,T_d] : c_New__Random__Sequence_Oneg__decr__bind(T_d,T_c,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_d,T_c,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_d,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_c)))),hAPP(hAPP(c_COMBC(T_d,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_c))))),hAPP(hAPP(c_COMBC(T_d,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_c)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 206.97/207.85 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_c,T_d] : c_New__Random__Sequence_Opos__decr__bind(T_d,T_c,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_d,T_c,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_d,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_c))),hAPP(hAPP(c_COMBC(T_d,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_c)))),hAPP(hAPP(c_COMBC(T_d,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_c))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 206.97/207.85 ! [V_i_2,V_f_2,V_x_2,T_c,T_d] : hAPP(c_New__DSequence_Oneg__bind(T_d,T_c,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_d,T_c,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_d,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_c))),V_f_2),V_i_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 206.97/207.85 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pos__empty__def,axiom,
% 206.97/207.85 ! [V_seed_2,V_size_2,V_nrandom_2,T_c] : c_New__Random__Sequence_Opos__empty(T_c,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_c) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_neg__bind__def,axiom,
% 206.97/207.85 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_c,T_d] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_d,T_c,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_d,T_c,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_d,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_c)))),hAPP(hAPP(c_COMBC(T_d,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_c))))),hAPP(hAPP(c_COMBC(T_d,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_c)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 206.97/207.85 ! [V_i_2,V_f_2,V_x_2,T_c,T_d] : hAPP(c_New__DSequence_Opos__bind(T_d,T_c,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_d,T_c,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_d,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2),V_i_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_neg__map__def,axiom,
% 206.97/207.85 ! [V_Pa_2,V_f_2,T_c,T_d] : c_New__Random__Sequence_Oneg__map(T_d,T_c,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_d,T_c,V_Pa_2,hAPP(c_Fun_Ocomp(T_c,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_c)))))),T_d,c_New__Random__Sequence_Oneg__single(T_c)),V_f_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_neg__single__def,axiom,
% 206.97/207.85 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_c] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_c),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_c,V_x_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pos__bind__def,axiom,
% 206.97/207.85 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_c,T_d] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_d,T_c,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_d,T_c,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_d,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_c))),hAPP(hAPP(c_COMBC(T_d,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_c)))),hAPP(hAPP(c_COMBC(T_d,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_c))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pos__map__def,axiom,
% 206.97/207.85 ! [V_Pa_2,V_f_2,T_c,T_d] : c_New__Random__Sequence_Opos__map(T_d,T_c,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_d,T_c,V_Pa_2,hAPP(c_Fun_Ocomp(T_c,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_c))))),T_d,c_New__Random__Sequence_Opos__single(T_c)),V_f_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pos__single__def,axiom,
% 206.97/207.85 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_c] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_c),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_c,V_x_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__splice,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_splice_Osimps_I3_J,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_splice_Osimps_I1_J,axiom,
% 206.97/207.85 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 206.97/207.85
% 206.97/207.85 fof(fact_splice__Nil2,axiom,
% 206.97/207.85 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 206.97/207.85
% 206.97/207.85 fof(fact_splice_Osimps_I2_J,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__DSequence_Opos__single__def,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_acyclicP__converse,axiom,
% 206.97/207.85 ! [V_r_2,T_c] :
% 206.97/207.85 ( c_Wellfounded_Oacyclic(T_c,hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),c_Predicate_Oconversep(T_c,T_c,V_r_2))))
% 206.97/207.85 <=> c_Wellfounded_Oacyclic(T_c,hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),V_r_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_conversep__noteq,axiom,
% 206.97/207.85 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_c,T_c,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 206.97/207.85 <=> V_x_2 != V_y_2 ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_conversepD,axiom,
% 206.97/207.85 ! [V_b_2,V_a_2,V_r_2,T_d,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_c,T_d,V_r_2),V_a_2),V_b_2))
% 206.97/207.85 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_conversep_Ointros,axiom,
% 206.97/207.85 ! [T_d,T_c,V_b_2,V_a_2,V_r_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_c,T_d,V_r_2),V_b_2),V_a_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_conversep_Oequations,axiom,
% 206.97/207.85 ! [V_a1_2,V_a2_2,V_r_2,T_d,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_c,T_d,V_r_2),V_a2_2),V_a1_2))
% 206.97/207.85 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_conversep__iff,axiom,
% 206.97/207.85 ! [V_b_2,V_a_2,V_r_2,T_d,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_c,T_d,V_r_2),V_a_2),V_b_2))
% 206.97/207.85 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_conversep__conversep,axiom,
% 206.97/207.85 ! [V_r_2,T_c,T_d] : c_Predicate_Oconversep(T_d,T_c,c_Predicate_Oconversep(T_c,T_d,V_r_2)) = V_r_2 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_conversep__eq,axiom,
% 206.97/207.85 ! [T_c] : c_Predicate_Oconversep(T_c,T_c,c_fequal) = c_fequal ).
% 206.97/207.85
% 206.97/207.85 fof(fact_converse__pred__comp,axiom,
% 206.97/207.85 ! [V_s_2,V_r_2,T_e,T_c,T_d] : c_Predicate_Oconversep(T_d,T_c,c_Predicate_Opred__comp(T_d,T_e,T_c,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_c,T_e,T_d,c_Predicate_Oconversep(T_e,T_c,V_s_2),c_Predicate_Oconversep(T_d,T_e,V_r_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_converse__join,axiom,
% 206.97/207.85 ! [V_s_2,V_r_2,T_c,T_d] : c_Predicate_Oconversep(T_d,T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Predicate_Oconversep(T_d,T_c,V_r_2)),c_Predicate_Oconversep(T_d,T_c,V_s_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_converse__meet,axiom,
% 206.97/207.85 ! [V_s_2,V_r_2,T_c,T_d] : c_Predicate_Oconversep(T_d,T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Predicate_Oconversep(T_d,T_c,V_r_2)),c_Predicate_Oconversep(T_d,T_c,V_s_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_conversep__converse__eq,axiom,
% 206.97/207.85 ! [V_y_2,V_x_2,V_r_2,T_d,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_c,T_d,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_r_2)),V_x_2),V_y_2))
% 206.97/207.85 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_,axiom,
% 206.97/207.85 ! [V_s2_2,V_s1_2,T_d,T_c] : c_Lazy__Sequence_Oproduct(T_c,T_d,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_c,tc_prod(T_c,T_d),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_c,T_d))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_c,T_d)),T_c),c_Lazy__Sequence_Obind(T_d,tc_prod(T_c,T_d),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_c,T_d))),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_c,T_d)),T_d),c_Lazy__Sequence_Osingle(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_tl__replicate,axiom,
% 206.97/207.85 ! [V_x,T_a,V_n] :
% 206.97/207.85 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 => 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) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_replicate__length__filter,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] : c_List_Oreplicate(T_c,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_c,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_length__replicate,axiom,
% 206.97/207.85 ! [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 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__replicate__const,axiom,
% 206.97/207.85 ! [V_lst_2,V_k_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),hAPP(c_COMBK(T_c,T_d),V_k_2)),V_lst_2) = c_List_Oreplicate(T_c,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_lst_2),V_k_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_replicate__app__Cons__same,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_replicate__Suc,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_rev__replicate,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_drop__replicate,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_hd__replicate,axiom,
% 206.97/207.85 ! [V_x,T_a,V_n] :
% 206.97/207.85 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_take__replicate,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_last__replicate,axiom,
% 206.97/207.85 ! [V_x,T_a,V_n] :
% 206.97/207.85 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_zip__replicate,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Bex__set__replicate,axiom,
% 206.97/207.85 ! [V_Pa_2,V_a_2,V_n_2,T_c] :
% 206.97/207.85 ( ? [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),c_List_Oreplicate(T_c,V_n_2,V_a_2))))
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 206.97/207.85 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Ball__set__replicate,axiom,
% 206.97/207.85 ! [V_Pa_2,V_a_2,V_n_2,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),c_List_Oreplicate(T_c,V_n_2,V_a_2))))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.85 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 206.97/207.85 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_replicate__eq__replicate,axiom,
% 206.97/207.85 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_c] :
% 206.97/207.85 ( c_List_Oreplicate(T_c,V_m_2,V_x_2) = c_List_Oreplicate(T_c,V_n_2,V_y_2)
% 206.97/207.85 <=> ( V_m_2 = V_n_2
% 206.97/207.85 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 => V_x_2 = V_y_2 ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_nth__replicate,axiom,
% 206.97/207.85 ! [V_x,T_a,V_n,V_i] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 206.97/207.85 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_append__replicate__commute,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_replicate__add,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_filter__replicate,axiom,
% 206.97/207.85 ! [V_n_2,T_c,V_x_2,V_Pa_2] :
% 206.97/207.85 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => hAPP(c_List_Ofilter(T_c,V_Pa_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_c,V_n_2,V_x_2) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 206.97/207.85 => hAPP(c_List_Ofilter(T_c,V_Pa_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Olist_ONil(T_c) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_concat__replicate__trivial,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_replicate__0,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_empty__replicate,axiom,
% 206.97/207.85 ! [V_x_2,V_n_2,T_c] :
% 206.97/207.85 ( c_List_Olist_ONil(T_c) = c_List_Oreplicate(T_c,V_n_2,V_x_2)
% 206.97/207.85 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_replicate__empty,axiom,
% 206.97/207.85 ! [V_x_2,V_n_2,T_c] :
% 206.97/207.85 ( c_List_Oreplicate(T_c,V_n_2,V_x_2) = c_List_Olist_ONil(T_c)
% 206.97/207.85 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__replicate,axiom,
% 206.97/207.85 ! [V_x_2,V_n_2,V_f_2,T_c,T_d] : hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),c_List_Oreplicate(T_d,V_n_2,V_x_2)) = c_List_Oreplicate(T_c,V_n_2,hAPP(V_f_2,V_x_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_in__set__replicate,axiom,
% 206.97/207.85 ! [V_y_2,V_n_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),c_List_Oreplicate(T_c,V_n_2,V_y_2))))
% 206.97/207.85 <=> ( V_x_2 = V_y_2
% 206.97/207.85 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_replicate__append__same,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_map__replicate__trivial,axiom,
% 206.97/207.85 ! [V_i_2,V_x_2,T_c] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_c),hAPP(c_COMBK(T_c,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_c,V_i_2,V_x_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__replicate,axiom,
% 206.97/207.85 ! [V_x_2,T_c,V_n_2] :
% 206.97/207.85 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 => hAPP(c_List_Oset(T_c),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__replicate__conv__if,axiom,
% 206.97/207.85 ! [V_x_2,T_c,V_n_2] :
% 206.97/207.85 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 => hAPP(c_List_Oset(T_c),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 206.97/207.85 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.85 => hAPP(c_List_Oset(T_c),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_set__replicate__Suc,axiom,
% 206.97/207.85 ! [V_x_2,V_n_2,T_c] : hAPP(c_List_Oset(T_c),c_List_Oreplicate(T_c,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_small__lazy__list_Osimps,axiom,
% 206.97/207.85 ! [V_d_2,T_c] :
% 206.97/207.85 ( class_Lazy__Sequence_Osmall__lazy(T_c)
% 206.97/207.85 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_c),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_c),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_c)),c_List_Olist_ONil(T_c)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_c))),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_c,tc_List_Olist(T_c)),tc_List_Olist(T_c),c_Lazy__Sequence_Oproduct(T_c,tc_List_Olist(T_c),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_c,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_c),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_c,tc_List_Olist(T_c),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_c),tc_List_Olist(T_c)),tc_fun(tc_List_Olist(T_c),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_c))),T_c),hAPP(c_COMBB(tc_List_Olist(T_c),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_c)),tc_List_Olist(T_c)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_c)))),c_List_Olist_OCons(T_c))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_c)))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_eq__comp__r,axiom,
% 206.97/207.85 ! [V_R_2,T_c] : c_Predicate_Opred__comp(T_c,T_c,T_c,c_fequal,c_Predicate_Opred__comp(T_c,T_c,T_c,V_R_2,c_fequal)) = V_R_2 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_small__lazy__prod__def,axiom,
% 206.97/207.85 ! [V_d,T_b,T_a] :
% 206.97/207.85 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 206.97/207.85 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 206.97/207.85 => 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)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_New__DSequence_Opos__union__def,axiom,
% 206.97/207.85 ! [V_i_2,V_yq_2,V_xq_2,T_c] : hAPP(c_New__DSequence_Opos__union(T_c,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_c,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_field__le__epsilon,axiom,
% 206.97/207.85 ! [V_y,V_x,T_a] :
% 206.97/207.85 ( class_Fields_Olinordered__field(T_a)
% 206.97/207.85 => ( ! [B_e] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 206.97/207.85 => 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))) )
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pos__union__def,axiom,
% 206.97/207.85 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_c] : c_New__Random__Sequence_Opos__union(T_c,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_c,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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_small__lazy_H_Osimps,axiom,
% 206.97/207.85 ! [V_i,V_d] :
% 206.97/207.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 206.97/207.85 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 206.97/207.85 => 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)))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_small__lazy__int__def,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_small__lazy_H_Opsimps,axiom,
% 206.97/207.85 ! [V_i_2,V_d_2] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 206.97/207.85 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 206.97/207.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 206.97/207.85 => 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)))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 206.97/207.85 ! [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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact__01,axiom,
% 206.97/207.85 ! [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)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence_Oinject,axiom,
% 206.97/207.85 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_c] :
% 206.97/207.85 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_H_2,V_lazy__sequence_H_2)
% 206.97/207.85 <=> ( V_a_2 = V_a_H_2
% 206.97/207.85 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 206.97/207.85 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_c] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_c,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,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_c,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_small__lazy_H_Opinduct,axiom,
% 206.97/207.85 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 => ( ! [B_d,B_i] :
% 206.97/207.85 ( 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)))
% 206.97/207.85 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 206.97/207.85 => 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)))) )
% 206.97/207.85 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 206.97/207.85 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_size__code,axiom,
% 206.97/207.85 ! [V_xq_2,T_c] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_c)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_c),tc_Nat_Onat),T_c),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_c),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_c)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_c)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence__size__code,axiom,
% 206.97/207.85 ! [V_xq_2,V_s_2,T_c] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_c,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_c,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_c),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_c),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_c),tc_Nat_Onat)),T_c),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_c),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_c),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_c),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_c),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_c)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_c),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_c),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_c),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_c),tc_Nat_Onat)),T_c),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_c))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_c),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_c,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_seq__case,axiom,
% 206.97/207.85 ! [V_xq_2,V_g_2,V_f_2,T_d,T_c] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_c,T_d,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_c,tc_prod(T_d,tc_Lazy__Sequence_Olazy__sequence(T_d)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_d,tc_Lazy__Sequence_Olazy__sequence(T_d),T_c),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_d),V_xq_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_yieldn__def,axiom,
% 206.97/207.85 ! [T_c] : c_Lazy__Sequence_Oyieldn(T_c) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_c),T_c,c_Lazy__Sequence_Oyield(T_c)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 206.97/207.85 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_d,T_c] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_c,T_d,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_d,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_refl__on__INTER,axiom,
% 206.97/207.85 ! [V_r_2,V_A_2,T_d,V_S_2,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_S_2))
% 206.97/207.85 => c_Relation_Orefl__on(T_d,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 206.97/207.85 => c_Relation_Orefl__on(T_d,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_in__set__member,axiom,
% 206.97/207.85 ! [V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_c),V_xs_2),V_x_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_member__rec_I1_J,axiom,
% 206.97/207.85 ! [V_y_2,V_xs_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_List_Omember(T_c),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)),V_y_2))
% 206.97/207.85 <=> ( V_x_2 = V_y_2
% 206.97/207.85 | hBOOL(hAPP(hAPP(c_List_Omember(T_c),V_xs_2),V_y_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_member__set,axiom,
% 206.97/207.85 ! [T_c] : c_List_Omember(T_c) = c_List_Oset(T_c) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_member__rec_I2_J,axiom,
% 206.97/207.85 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_List_Omember__def,axiom,
% 206.97/207.85 ! [V_x_2,V_xs_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_List_Omember(T_c),V_xs_2),V_x_2))
% 206.97/207.85 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2))) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pair__box_Osize_I1_J,axiom,
% 206.97/207.85 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__size(T_c,T_d,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,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))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex1__iff__raw,axiom,
% 206.97/207.85 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.85 ( c_List_Olist__ex1(T_c,V_Pa_2,V_xs_2)
% 206.97/207.85 <=> ? [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.85 & ! [B_y] :
% 206.97/207.85 ( ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.85 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 206.97/207.85 => B_y = B_x ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pair__box_Osize_I2_J,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pair__box_Oinject,axiom,
% 206.97/207.85 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_d,T_c] :
% 206.97/207.85 ( c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_H_2,V_b_H_2)
% 206.97/207.85 <=> ( V_a_2 = V_a_H_2
% 206.97/207.85 & V_b_2 = V_b_H_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pair__box_Osimps_I2_J,axiom,
% 206.97/207.85 ! [V_b_2,V_a_2,V_f1_2,T_c,T_e,T_d] : c_Nitpick_Opair__box_Opair__box__case(T_d,T_e,T_c,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_d,T_e,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_pair__box_Orecs,axiom,
% 206.97/207.85 ! [V_b_2,V_a_2,V_f1_2,T_c,T_e,T_d] : c_Nitpick_Opair__box_Opair__box__rec(T_d,T_e,T_c,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_d,T_e,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_THE__default__def,axiom,
% 206.97/207.85 ! [V_d_2,T_c,V_Pa_2] :
% 206.97/207.85 ( ( ? [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.85 & ! [B_y] :
% 206.97/207.85 ( hBOOL(hAPP(V_Pa_2,B_y))
% 206.97/207.85 => B_y = B_x ) )
% 206.97/207.85 => c_FunDef_OTHE__default(T_c,V_d_2,V_Pa_2) = c_HOL_OThe(T_c,V_Pa_2) )
% 206.97/207.85 & ( ~ ? [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(V_Pa_2,B_x))
% 206.97/207.85 & ! [B_y] :
% 206.97/207.85 ( hBOOL(hAPP(V_Pa_2,B_y))
% 206.97/207.85 => B_y = B_x ) )
% 206.97/207.85 => c_FunDef_OTHE__default(T_c,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_setsum__UNION__zero,axiom,
% 206.97/207.85 ! [V_f_2,V_S_2,T_c,T_d] :
% 206.97/207.85 ( class_Groups_Ocomm__monoid__add(T_d)
% 206.97/207.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_c,tc_HOL_Obool)),V_S_2))
% 206.97/207.85 => ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_x),V_S_2))
% 206.97/207.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_x)) )
% 206.97/207.85 => ( ! [B_T1] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_T1),V_S_2))
% 206.97/207.85 => ! [B_T2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_T2),V_S_2))
% 206.97/207.85 => ( B_T1 != B_T2
% 206.97/207.85 => ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),B_T1))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),B_T2))
% 206.97/207.85 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) )
% 206.97/207.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_f_2)),V_S_2) ) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_INF2__I,axiom,
% 206.97/207.85 ! [T_e,T_d,V_c_2,V_b_2,V_B_2,V_A_2,T_c] :
% 206.97/207.85 ( ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.85 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 206.97/207.85 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_SUP2__E,axiom,
% 206.97/207.85 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_e,T_d,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_fun(T_e,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 206.97/207.85 => ~ ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.85 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_finite__maxlen,axiom,
% 206.97/207.85 ! [V_M_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_c)),V_M_2))
% 206.97/207.85 => ? [B_n] :
% 206.97/207.85 ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_c)),B_x),V_M_2))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),B_x)),B_n)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 206.97/207.85 ! [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) ).
% 206.97/207.85
% 206.97/207.85 fof(fact__02,axiom,
% 206.97/207.85 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 206.97/207.85 ! [V_f2_2,V_f1_2,T_d,T_c] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_c,T_d,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_d)) = V_f1_2 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 206.97/207.85 ! [V_fa_2,T_c] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_c,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__all__iff__all__interval__int,axiom,
% 206.97/207.85 ! [V_j_2,V_i_2,V_Pa_2] :
% 206.97/207.85 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 206.97/207.85 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 206.97/207.85 ! [V_j_2,V_i_2,V_Pa_2] :
% 206.97/207.85 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 206.97/207.85 <=> ~ 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) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_all__interval__int__def,axiom,
% 206.97/207.85 ! [V_j_2,V_i_2,V_Pa_2] :
% 206.97/207.85 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 206.97/207.85 <=> ! [B_x] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 206.97/207.85 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 206.97/207.85 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_c] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_c,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_c,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Random_Osimps,axiom,
% 206.97/207.85 ! [V_size_2,V_g_2,T_c,V_nrandom_2] :
% 206.97/207.85 ( ( 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)))
% 206.97/207.85 => c_Random__Sequence_ORandom(T_c,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_c)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_c)) )
% 206.97/207.85 & ( ~ 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)))
% 206.97/207.85 => c_Random__Sequence_ORandom(T_c,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_c,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_c)))),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_c)))),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_c)))),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_c)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_c,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_c)))),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_c)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_c,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_c)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_c))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_c)))),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_c)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_c,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_c)))),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_c)))),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_c))))),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_c)))),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_c)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_c)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_c))))),tc_prod(T_c,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_c)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_c)))),tc_prod(T_c,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_c)),c_Product__Type_Ofst(T_c,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 206.97/207.85 ! [V_f2_2,V_f1_2,T_c] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_c,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Random__Sequence_Oempty__def,axiom,
% 206.97/207.85 ! [V_size_2,V_nrandom_2,T_c] : c_Random__Sequence_Oempty(T_c,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_c)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_c)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Random__Sequence_Osingle__def,axiom,
% 206.97/207.85 ! [V_size_2,V_nrandom_2,V_x_2,T_c] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_c),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_c)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_c),V_x_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Random__Sequence_Omap__def,axiom,
% 206.97/207.85 ! [V_Pa_2,V_f_2,T_c,T_d] : c_Random__Sequence_Omap(T_d,T_c,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_d,T_c,V_Pa_2,hAPP(c_Fun_Ocomp(T_c,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_c)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_d,c_Random__Sequence_Osingle(T_c)),V_f_2)) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_exE__realizer,axiom,
% 206.97/207.85 ! [T_e,V_f_2,V_Qa_2,V_p_2,T_c,T_d,V_Pa_2] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_d,T_c),V_p_2)),hAPP(c_Product__Type_Ofst(T_d,T_c),V_p_2)))
% 206.97/207.85 => ( ! [B_x,B_y] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 206.97/207.85 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 206.97/207.85 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,T_e),V_f_2),V_p_2))) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_Image__Collect__split,axiom,
% 206.97/207.85 ! [V_A_2,V_Pa_2,T_c,T_d] : hAPP(c_Relation_OImage(T_d,T_c,hAPP(c_Set_OCollect(tc_prod(T_d,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_A_2)))),hAPP(c_COMBC(T_d,T_c,tc_HOL_Obool),V_Pa_2)))) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_lexord__trans,axiom,
% 206.97/207.85 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_c] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_y_2)),c_List_Olexord(T_c,V_r_2)))
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_y_2),V_z_2)),c_List_Olexord(T_c,V_r_2)))
% 206.97/207.85 => ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_c),tc_List_Olist(T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_c),tc_List_Olist(T_c)),V_x_2),V_z_2)),c_List_Olexord(T_c,V_r_2))) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_trans__less__than,axiom,
% 206.97/207.85 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_trans__lex__prod,axiom,
% 206.97/207.85 ! [V_R2_2,T_d,V_R1_2,T_c] :
% 206.97/207.85 ( c_Relation_Otrans(T_c,V_R1_2)
% 206.97/207.85 => ( c_Relation_Otrans(T_d,V_R2_2)
% 206.97/207.85 => c_Relation_Otrans(tc_prod(T_c,T_d),c_Wellfounded_Olex__prod(T_c,T_d,V_R1_2,V_R2_2)) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_transD,axiom,
% 206.97/207.85 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_c] :
% 206.97/207.85 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.85 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.85 => ( 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_c_2)),V_r_2))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_c_2)),V_r_2)) ) ) ) ).
% 206.97/207.85
% 206.97/207.85 fof(fact_trans__def,axiom,
% 206.97/207.85 ! [V_r_2,T_c] :
% 206.97/207.85 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.85 <=> ! [B_x,B_y] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_y)),V_r_2))
% 206.97/207.85 => ! [B_z] :
% 206.97/207.85 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),B_z)),V_r_2))
% 206.97/207.85 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_z)),V_r_2)) ) ) ) ).
% 206.97/207.85
% 206.97/207.86 fof(fact_Union__eq,axiom,
% 206.97/207.86 ! [V_A_2,T_c] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_c,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_c,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,tc_HOL_Obool))),V_A_2)))),c_member(T_c)))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__O__subset,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),V_r_2),V_r_2)),V_r_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__Int,axiom,
% 206.97/207.86 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => ( c_Relation_Otrans(T_c,V_s_2)
% 206.97/207.86 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__rtrancl,axiom,
% 206.97/207.86 ! [V_r_2,T_c] : c_Relation_Otrans(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__Id,axiom,
% 206.97/207.86 ! [T_c] : c_Relation_Otrans(T_c,c_Relation_OId(T_c)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__finite__psubset,axiom,
% 206.97/207.86 ! [T_c] : c_Relation_Otrans(tc_fun(T_c,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_c)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trancl__id,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => c_Transitive__Closure_Otrancl(T_c,V_r_2) = V_r_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__trancl,axiom,
% 206.97/207.86 ! [V_r_2,T_c] : c_Relation_Otrans(T_c,c_Transitive__Closure_Otrancl(T_c,V_r_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__Id__on,axiom,
% 206.97/207.86 ! [V_A_2,T_c] : c_Relation_Otrans(T_c,c_Relation_OId__on(T_c,V_A_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_lexord__transI,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Otrans(tc_List_Olist(T_c),c_List_Olexord(T_c,V_r_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bex__empty,axiom,
% 206.97/207.86 ! [V_Pa_2,T_c] :
% 206.97/207.86 ~ ? [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))
% 206.97/207.86 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_listrel__trans,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Otrans(tc_List_Olist(T_c),c_List_Olistrel(T_c,V_r_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__converse,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Otrans(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))
% 206.97/207.86 <=> c_Relation_Otrans(T_c,V_r_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_finite__Collect__bex,axiom,
% 206.97/207.86 ! [V_Qa_2,T_d,V_A_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),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)))),V_Qa_2)))))
% 206.97/207.86 <=> ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBC(T_d,T_c,tc_HOL_Obool),V_Qa_2),B_x)))) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bex__UNIV,axiom,
% 206.97/207.86 ! [V_Pa_2,T_c] :
% 206.97/207.86 ( ? [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 206.97/207.86 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.86 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_SUPR__bool__eq,axiom,
% 206.97/207.86 ! [T_c] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_HOL_Obool) = c_Set_OBex(T_c) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__reflclI,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_c))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__inv__image,axiom,
% 206.97/207.86 ! [V_f_2,T_d,V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Otrans(T_d,hAPP(hAPP(c_Relation_Oinv__image(T_c,T_d),V_r_2),V_f_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_Bex__set__list__ex,axiom,
% 206.97/207.86 ! [V_Pa_2,V_xs_2,T_c] :
% 206.97/207.86 ( ? [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.86 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.86 <=> c_List_Olist__ex(T_c,V_Pa_2,V_xs_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_list__ex__iff__raw,axiom,
% 206.97/207.86 ! [V_xs_2,V_Pa_2,T_c] :
% 206.97/207.86 ( c_List_Olist__ex(T_c,V_Pa_2,V_xs_2)
% 206.97/207.86 <=> ? [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 206.97/207.86 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_UN__eq,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_c,tc_HOL_Obool)),c_HOL_OEx(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_d)),c_fequal)),V_B_2))))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_INT__eq,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,T_c,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_c,tc_HOL_Obool)),c_HOL_OEx(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool),c_member(T_d)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_d)),c_fequal)),V_B_2))))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_Sup__fun__def,axiom,
% 206.97/207.86 ! [V_x_2,V_A_2,T_d,T_c] :
% 206.97/207.86 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.86 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_d,T_c),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_c,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)))))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_Sup__apply,axiom,
% 206.97/207.86 ! [V_x_2,V_A_2,T_d,T_c] :
% 206.97/207.86 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.86 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_d,T_c),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_c,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)))))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_Inf__apply,axiom,
% 206.97/207.86 ! [V_x_2,V_A_2,T_d,T_c] :
% 206.97/207.86 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.86 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_d,T_c),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_c,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)))))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_Inf__fun__def,axiom,
% 206.97/207.86 ! [V_x_2,V_A_2,T_d,T_c] :
% 206.97/207.86 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 206.97/207.86 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_d,T_c),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_c,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)))))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_max__extp_Ointros,axiom,
% 206.97/207.86 ! [V_R_2,V_Y_2,V_X_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_X_2))
% 206.97/207.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_Y_2))
% 206.97/207.86 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.86 => ( ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_X_2))
% 206.97/207.86 => ? [B_xa] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_Y_2))
% 206.97/207.86 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 206.97/207.86 => c_Wellfounded_Omax__extp(T_c,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_transp__def,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Predicate_Otransp(T_c,V_r_2)
% 206.97/207.86 <=> c_Relation_Otrans(T_c,hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),V_r_2))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_transpE,axiom,
% 206.97/207.86 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c] :
% 206.97/207.86 ( c_Predicate_Otransp(T_c,V_r_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 206.97/207.86 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_equivpE,axiom,
% 206.97/207.86 ! [V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.86 => ~ ( c_Predicate_Oreflp(T_c,V_R_2)
% 206.97/207.86 => ( c_Predicate_Osymp(T_c,V_R_2)
% 206.97/207.86 => ~ c_Predicate_Otransp(T_c,V_R_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_equivpI,axiom,
% 206.97/207.86 ! [V_R_2,T_c] :
% 206.97/207.86 ( c_Predicate_Oreflp(T_c,V_R_2)
% 206.97/207.86 => ( c_Predicate_Osymp(T_c,V_R_2)
% 206.97/207.86 => ( c_Predicate_Otransp(T_c,V_R_2)
% 206.97/207.86 => c_Equiv__Relations_Oequivp(T_c,V_R_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sympE,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2,V_r_2,T_c] :
% 206.97/207.86 ( c_Predicate_Osymp(T_c,V_r_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 206.97/207.86 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_equivp__reflp__symp__transp,axiom,
% 206.97/207.86 ! [V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.86 <=> ( c_Predicate_Oreflp(T_c,V_R_2)
% 206.97/207.86 & c_Predicate_Osymp(T_c,V_R_2)
% 206.97/207.86 & c_Predicate_Otransp(T_c,V_R_2) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_max__extp_Osimps,axiom,
% 206.97/207.86 ! [V_a2_2,V_a1_2,V_R_2,T_c] :
% 206.97/207.86 ( c_Wellfounded_Omax__extp(T_c,V_R_2,V_a1_2,V_a2_2)
% 206.97/207.86 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_a1_2))
% 206.97/207.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_a2_2))
% 206.97/207.86 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.86 & ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_a1_2))
% 206.97/207.86 => ? [B_xa] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_a2_2))
% 206.97/207.86 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_trans__diff__Id,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => ( c_Relation_Oantisym(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_c))) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_antisym__converse,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Oantisym(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))
% 206.97/207.86 <=> c_Relation_Oantisym(T_c,V_r_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_antisym__empty,axiom,
% 206.97/207.86 ! [T_c] : c_Relation_Oantisym(T_c,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_antisym__Id,axiom,
% 206.97/207.86 ! [T_c] : c_Relation_Oantisym(T_c,c_Relation_OId(T_c)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_antisym__Id__on,axiom,
% 206.97/207.86 ! [V_A_2,T_c] : c_Relation_Oantisym(T_c,c_Relation_OId__on(T_c,V_A_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_antisym__subset,axiom,
% 206.97/207.86 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 206.97/207.86 => ( c_Relation_Oantisym(T_c,V_s_2)
% 206.97/207.86 => c_Relation_Oantisym(T_c,V_r_2) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_antisym__def,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Oantisym(T_c,V_r_2)
% 206.97/207.86 <=> ! [B_x,B_y] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_y)),V_r_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),B_x)),V_r_2))
% 206.97/207.86 => B_x = B_y ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_antisymD,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2,V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Oantisym(T_c,V_r_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.86 => ( 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_a_2)),V_r_2))
% 206.97/207.86 => V_a_2 = V_b_2 ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_antisym__reflcl,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Oantisym(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_c)))
% 206.97/207.86 <=> c_Relation_Oantisym(T_c,V_r_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Wellfounded_Oacyclic(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Oantisym(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_fun__lub__def,axiom,
% 206.97/207.86 ! [V_x_2,V_A_2,V_L_2,T_e,T_c,T_d] : c_Partial__Function_Ofun__lub(T_d,T_c,T_e,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_e,T_d),tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(tc_fun(T_e,T_d))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_e,T_d),tc_HOL_Obool),tc_fun(tc_fun(T_e,T_d),tc_HOL_Obool),T_d),hAPP(c_COMBS(tc_fun(T_e,T_d),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_e,T_d)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_e,T_d),tc_fun(tc_fun(T_e,T_d),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_e,T_d))),V_A_2)))),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_fun(T_e,T_d),T_d),tc_fun(tc_fun(T_e,T_d),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_e,T_d),T_d),tc_fun(tc_fun(T_e,T_d),tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,tc_fun(T_e,T_d))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_e,T_d),T_e,T_d),c_COMBI(tc_fun(T_e,T_d))),V_x_2)))))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__trans__comp__subset,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_c,T_c),hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2)),V_r_2)),V_r_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_symD,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2,V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_a_2),V_b_2)),V_r_2))
% 206.97/207.86 => 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_a_2)),V_r_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__def,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 <=> ! [B_x,B_y] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_x),B_y)),V_r_2))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),B_x)),V_r_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__Int,axiom,
% 206.97/207.86 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => ( c_Relation_Osym(T_c,V_s_2)
% 206.97/207.86 => c_Relation_Osym(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__rtrancl,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Osym(T_c,c_Transitive__Closure_Ortrancl(T_c,V_r_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__Id,axiom,
% 206.97/207.86 ! [T_c] : c_Relation_Osym(T_c,c_Relation_OId(T_c)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__Un,axiom,
% 206.97/207.86 ! [V_s_2,V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => ( c_Relation_Osym(T_c,V_s_2)
% 206.97/207.86 => c_Relation_Osym(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__trancl,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Osym(T_c,c_Transitive__Closure_Otrancl(T_c,V_r_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__Id__on,axiom,
% 206.97/207.86 ! [V_A_2,T_c] : c_Relation_Osym(T_c,c_Relation_OId__on(T_c,V_A_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_listrel__sym,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Osym(tc_List_Olist(T_c),c_List_Olistrel(T_c,V_r_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__conv__converse__eq,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 <=> hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2) = V_r_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__converse,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))
% 206.97/207.86 <=> c_Relation_Osym(T_c,V_r_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__Un__converse,axiom,
% 206.97/207.86 ! [V_r_2,T_c] : c_Relation_Osym(T_c,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__inv__image,axiom,
% 206.97/207.86 ! [V_f_2,T_d,V_r_2,T_c] :
% 206.97/207.86 ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => c_Relation_Osym(T_d,hAPP(hAPP(c_Relation_Oinv__image(T_c,T_d),V_r_2),V_f_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_sym__Int__converse,axiom,
% 206.97/207.86 ! [V_r_2,T_c] : c_Relation_Osym(T_c,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_c,T_c),V_r_2))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_equiv__def,axiom,
% 206.97/207.86 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.86 <=> ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.86 & c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 & c_Relation_Otrans(T_c,V_r_2) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_equivI,axiom,
% 206.97/207.86 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.86 ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.86 => ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => ( c_Relation_Otrans(T_c,V_r_2)
% 206.97/207.86 => c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_equivE,axiom,
% 206.97/207.86 ! [V_r_2,V_A_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Oequiv(T_c,V_A_2,V_r_2)
% 206.97/207.86 => ~ ( c_Relation_Orefl__on(T_c,V_A_2,V_r_2)
% 206.97/207.86 => ( c_Relation_Osym(T_c,V_r_2)
% 206.97/207.86 => ~ c_Relation_Otrans(T_c,V_r_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_symp__def,axiom,
% 206.97/207.86 ! [V_r_2,T_c] :
% 206.97/207.86 ( c_Predicate_Osymp(T_c,V_r_2)
% 206.97/207.86 <=> c_Relation_Osym(T_c,hAPP(c_Set_OCollect(tc_prod(T_c,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_c,tc_HOL_Obool),V_r_2))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_part__equivpI,axiom,
% 206.97/207.86 ! [T_c,V_R_2] :
% 206.97/207.86 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 206.97/207.86 => ( c_Predicate_Osymp(T_c,V_R_2)
% 206.97/207.86 => ( c_Predicate_Otransp(T_c,V_R_2)
% 206.97/207.86 => c_Equiv__Relations_Opart__equivp(T_c,V_R_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_part__equivp__refl__symp__transp,axiom,
% 206.97/207.86 ! [V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Opart__equivp(T_c,V_R_2)
% 206.97/207.86 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 206.97/207.86 & c_Predicate_Osymp(T_c,V_R_2)
% 206.97/207.86 & c_Predicate_Otransp(T_c,V_R_2) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_equivp__implies__part__equivp,axiom,
% 206.97/207.86 ! [V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.86 => c_Equiv__Relations_Opart__equivp(T_c,V_R_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_part__equivp__transp,axiom,
% 206.97/207.86 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Opart__equivp(T_c,V_R_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 206.97/207.86 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_part__equivp__symp,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2,V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Opart__equivp(T_c,V_R_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 206.97/207.86 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_part__equivp__def,axiom,
% 206.97/207.86 ! [V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Opart__equivp(T_c,V_R_2)
% 206.97/207.86 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 206.97/207.86 & ! [B_x,B_y] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 206.97/207.86 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 206.97/207.86 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 206.97/207.86 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_part__equivpE,axiom,
% 206.97/207.86 ! [V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Opart__equivp(T_c,V_R_2)
% 206.97/207.86 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 206.97/207.86 => ( c_Predicate_Osymp(T_c,V_R_2)
% 206.97/207.86 => ~ c_Predicate_Otransp(T_c,V_R_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_part__equivp__typedef,axiom,
% 206.97/207.86 ! [V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Opart__equivp(T_c,V_R_2)
% 206.97/207.86 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_c,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_c,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_COMBS(T_c,T_c,tc_HOL_Obool),V_R_2),c_COMBI(T_c))))),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_R_2))))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inj__iff,axiom,
% 206.97/207.86 ! [V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 <=> hAPP(c_Fun_Ocomp(T_d,T_c,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_c) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__o__cancel,axiom,
% 206.97/207.86 ! [V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => hAPP(c_Fun_Ocomp(T_d,T_c,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_c) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__def,axiom,
% 206.97/207.86 ! [V_y_2,V_f_2,T_d,T_c] : hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_c,hAPP(hAPP(c_COMBC(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_c),c_fequal),V_f_2)),V_y_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__id,axiom,
% 206.97/207.86 ! [T_c] : c_Hilbert__Choice_Oinv__into(T_c,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Fun_Oid(T_c)) = c_Fun_Oid(T_c) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__f__eq,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 206.97/207.86 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__f__f,axiom,
% 206.97/207.86 ! [V_x_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__into__f__eq,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.86 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 206.97/207.86 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_d,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__into__f__f,axiom,
% 206.97/207.86 ! [V_x_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 206.97/207.86 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_d,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_f__inv__into__f,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,V_y_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)))
% 206.97/207.86 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__into__into,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,V_x_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__into__injective,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_d,T_c] :
% 206.97/207.86 ( hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_d,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_d,V_A_2,V_f_2),V_y_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_y_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)))
% 206.97/207.86 => V_x_2 = V_y_2 ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_image__surj__f__inv__f,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_c,T_d] :
% 206.97/207.86 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_surj__f__inv__f,axiom,
% 206.97/207.86 ! [V_y_2,V_f_2,T_c,T_d] :
% 206.97/207.86 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.86 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_surj__iff__all,axiom,
% 206.97/207.86 ! [V_f_2,T_c,T_d] :
% 206.97/207.86 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.86 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_image__inv__into__cancel,axiom,
% 206.97/207.86 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_c,T_d] :
% 206.97/207.86 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2) = V_A_H_2
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_d,T_c,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__into__def,axiom,
% 206.97/207.86 ! [V_x_2,V_f_2,V_A_2,T_d,T_c] : hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_d,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_c,hAPP(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(T_c,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_c),c_fequal),V_f_2)),V_x_2))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_o__inv__o__cancel,axiom,
% 206.97/207.86 ! [V_g_2,T_e,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => hAPP(c_Fun_Ocomp(T_d,T_e,T_c,hAPP(c_Fun_Ocomp(T_c,T_e,T_d,V_g_2),c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inj__imp__surj__inv,axiom,
% 206.97/207.86 ! [V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_d,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_image__inv__f__f,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_d,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) = V_A_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__image__comp,axiom,
% 206.97/207.86 ! [V_X_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_d,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_X_2)) = V_X_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_surj__imp__inj__inv,axiom,
% 206.97/207.86 ! [V_f_2,T_c,T_d] :
% 206.97/207.86 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.86 => c_Fun_Oinj__on(T_c,T_d,c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__into__image__cancel,axiom,
% 206.97/207.86 ! [V_S_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_d,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_d,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inj__on__inv__into,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,V_B_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)))
% 206.97/207.86 => c_Fun_Oinj__on(T_c,T_d,c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,V_f_2),V_B_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__into__comp,axiom,
% 206.97/207.86 ! [V_x_2,V_A_2,V_g_2,T_e,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(c_Set_Oimage(T_e,T_c,V_g_2),V_A_2))
% 206.97/207.86 => ( c_Fun_Oinj__on(T_e,T_c,V_g_2,V_A_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_x_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),hAPP(c_Set_Oimage(T_e,T_c,V_g_2),V_A_2))))
% 206.97/207.86 => hAPP(c_Hilbert__Choice_Oinv__into(T_e,T_d,V_A_2,hAPP(c_Fun_Ocomp(T_c,T_d,T_e,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_e,T_d,c_Hilbert__Choice_Oinv__into(T_e,T_c,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_c,T_d,hAPP(c_Set_Oimage(T_e,T_c,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_surj__iff,axiom,
% 206.97/207.86 ! [V_f_2,T_c,T_d] :
% 206.97/207.86 ( hAPP(c_Set_Oimage(T_d,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 206.97/207.86 <=> hAPP(c_Fun_Ocomp(T_d,T_c,T_c,V_f_2),c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_c) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inj__transfer,axiom,
% 206.97/207.86 ! [V_x_2,V_Pa_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => ( ! [B_y] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_d),B_y),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 206.97/207.86 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_y))) )
% 206.97/207.86 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_fold__image__UN__disjoint,axiom,
% 206.97/207.86 ! [V_g_2,V_A_2,T_d,V_I_2,T_c,T_e] :
% 206.97/207.86 ( class_Groups_Ocomm__monoid__mult(T_e)
% 206.97/207.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_I_2))
% 206.97/207.86 => ( ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 206.97/207.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(V_A_2,B_x))) )
% 206.97/207.86 => ( ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 206.97/207.86 => ! [B_xa] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_xa),V_I_2))
% 206.97/207.86 => ( B_x != B_xa
% 206.97/207.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) ) ) )
% 206.97/207.86 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_e,T_d,c_Groups_Otimes__class_Otimes(T_e)),V_g_2),c_Groups_Oone__class_Oone(T_e)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_e,T_c,c_Groups_Otimes__class_Otimes(T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),T_e,T_c),hAPP(hAPP(c_Finite__Set_Ofold__image(T_e,T_d,c_Groups_Otimes__class_Otimes(T_e)),V_g_2),c_Groups_Oone__class_Oone(T_e))),V_A_2)),c_Groups_Oone__class_Oone(T_e)),V_I_2) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_nat__of__cases,axiom,
% 206.97/207.86 ! [V_y_2] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 206.97/207.86 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_nat__of__induct,axiom,
% 206.97/207.86 ! [V_Pa_2,V_y_2] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 206.97/207.86 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 206.97/207.86 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_of__nat__cases,axiom,
% 206.97/207.86 ! [V_x_2] :
% 206.97/207.86 ~ ! [B_y] :
% 206.97/207.86 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 206.97/207.86 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_of__nat__induct,axiom,
% 206.97/207.86 ! [V_x_2,V_Pa_2] :
% 206.97/207.86 ( ! [B_y] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 206.97/207.86 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 206.97/207.86 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 206.97/207.86 ! [V_f2_2,V_f1_2,T_d,T_c] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_c,T_d,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_d)) = V_f1_2 ).
% 206.97/207.86
% 206.97/207.86 fof(fact_beyond__def,axiom,
% 206.97/207.86 ! [V_l,V_k] :
% 206.97/207.86 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 206.97/207.86 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 206.97/207.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 206.97/207.86 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_beyond__zero,axiom,
% 206.97/207.86 ! [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) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 206.97/207.86 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_d,T_c] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_c,T_d,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_d,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_c,T_d,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__image__Collect__eq,axiom,
% 206.97/207.86 ! [V_Pa_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_c,T_d,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_d),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_curry__def,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2,V_c_2,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Ocurry(T_d,T_e,T_c,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_x_2),V_y_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_curryI,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2,T_d,T_c,V_f_2] :
% 206.97/207.86 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__id,axiom,
% 206.97/207.86 ! [V_A_2,T_c] : c_Fun_Obij__betw(T_c,T_c,c_Fun_Oid(T_c),V_A_2,V_A_2) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__inv__into,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_B_2)
% 206.97/207.86 => c_Fun_Obij__betw(T_d,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_d,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__into__inv__into__eq,axiom,
% 206.97/207.86 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_A_H_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 206.97/207.86 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_c,T_d,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inv__inv__eq,axiom,
% 206.97/207.86 ! [V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__imp__bij__inv,axiom,
% 206.97/207.86 ! [V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => c_Fun_Obij__betw(T_d,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_o__inv__distrib,axiom,
% 206.97/207.86 ! [V_g_2,T_e,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => ( c_Fun_Obij__betw(T_e,T_c,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => c_Hilbert__Choice_Oinv__into(T_e,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_c,T_d,T_e,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_e,T_d,c_Hilbert__Choice_Oinv__into(T_e,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__image__INT,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,T_e,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_c,T_d,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_e,tc_fun(T_d,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_e),c_Set_Oimage(T_c,T_d,V_f_2)),V_B_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__comp__iff2,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_e,V_A_H_H_2,V_A_H_2,V_f_H_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_e,T_c,V_f_2),V_A_2)),V_A_H_2))
% 206.97/207.86 => ( c_Fun_Obij__betw(T_e,T_c,V_f_2,V_A_2,V_A_H_2)
% 206.97/207.86 <=> c_Fun_Obij__betw(T_e,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_e,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__trans,axiom,
% 206.97/207.86 ! [V_C_2,V_g_2,T_e,V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_B_2)
% 206.97/207.86 => ( c_Fun_Obij__betw(T_d,T_e,V_g_2,V_B_2,V_C_2)
% 206.97/207.86 => c_Fun_Obij__betw(T_c,T_e,hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__comp__iff,axiom,
% 206.97/207.86 ! [V_A_H_H_2,V_f_H_2,T_e,V_A_H_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_A_H_2)
% 206.97/207.86 => ( c_Fun_Obij__betw(T_d,T_e,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 206.97/207.86 <=> c_Fun_Obij__betw(T_c,T_e,hAPP(c_Fun_Ocomp(T_d,T_e,T_c,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__comp,axiom,
% 206.97/207.86 ! [V_g_2,T_e,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => ( c_Fun_Obij__betw(T_d,T_e,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool)))
% 206.97/207.86 => c_Fun_Obij__betw(T_c,T_e,hAPP(c_Fun_Ocomp(T_d,T_e,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_e,tc_HOL_Obool))) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_curryE,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 206.97/207.86 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_curryD,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 206.97/207.86 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_curry__conv,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2,V_f_2,T_c,T_e,T_d] : hAPP(hAPP(c_Product__Type_Ocurry(T_d,T_e,T_c,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_split__curry,axiom,
% 206.97/207.86 ! [V_f_2,T_e,T_d,T_c] : hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),c_Product__Type_Ocurry(T_c,T_d,T_e,V_f_2)) = V_f_2 ).
% 206.97/207.86
% 206.97/207.86 fof(fact_curry__split,axiom,
% 206.97/207.86 ! [V_f_2,T_e,T_d,T_c] : c_Product__Type_Ocurry(T_c,T_d,T_e,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_e),V_f_2)) = V_f_2 ).
% 206.97/207.86
% 206.97/207.86 fof(fact_finite__vimage__iff,axiom,
% 206.97/207.86 ! [V_F_2,V_h_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_h_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)))
% 206.97/207.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_d,V_h_2),V_F_2)))
% 206.97/207.86 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_F_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__image__Compl__eq,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_c,T_d,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_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__subset,axiom,
% 206.97/207.86 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_A_H_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.97/207.86 => ( hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_B_2) = V_B_H_2
% 206.97/207.86 => c_Fun_Obij__betw(T_c,T_d,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__is__surj,axiom,
% 206.97/207.86 ! [V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_c,T_d,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)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__imp__surj,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 206.97/207.86 => hAPP(c_Set_Oimage(T_c,T_d,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)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__def,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_B_2)
% 206.97/207.86 <=> ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.86 & hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2) = V_B_2 ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inj__on__imp__bij__betw,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.86 => c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__imp__inj__on,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_B_2)
% 206.97/207.86 => c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__is__inj,axiom,
% 206.97/207.86 ! [V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__the__inv__into,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_B_2)
% 206.97/207.86 => c_Fun_Obij__betw(T_d,T_c,c_Fun_Othe__inv__into(T_c,T_d,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__same__card,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_B_2)
% 206.97/207.86 => hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = hAPP(c_Finite__Set_Ocard(T_d),V_B_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__empty2,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)))
% 206.97/207.86 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__empty1,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)),V_A_2)
% 206.97/207.86 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_BIJ,axiom,
% 206.97/207.86 ! [V_B_2,T_d,V_A_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2))
% 206.97/207.86 => ( ? [B_f] : c_Fun_Obij__betw(T_c,T_d,B_f,V_A_2,V_B_2)
% 206.97/207.86 <=> hAPP(c_Finite__Set_Ocard(T_c),V_A_2) = hAPP(c_Finite__Set_Ocard(T_d),V_B_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__finite,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_B_2)
% 206.97/207.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 206.97/207.86 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_B_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__id__iff,axiom,
% 206.97/207.86 ! [V_B_2,V_A_2,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_c,c_Fun_Oid(T_c),V_A_2,V_B_2)
% 206.97/207.86 <=> V_A_2 = V_B_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__id,axiom,
% 206.97/207.86 ! [T_c] : c_Fun_Obij__betw(T_c,T_c,c_Fun_Oid(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__combine,axiom,
% 206.97/207.86 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_B_2)
% 206.97/207.86 => ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_C_2,V_D_2)
% 206.97/207.86 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 206.97/207.86 => c_Fun_Obij__betw(T_c,T_d,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_d,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__betw__Disj__Un,axiom,
% 206.97/207.86 ! [V_f_2,V_B_H_2,V_A_H_2,T_d,V_B_2,V_A_2,T_c] :
% 206.97/207.86 ( 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))
% 206.97/207.86 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 206.97/207.86 => ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_A_2,V_A_H_2)
% 206.97/207.86 => ( c_Fun_Obij__betw(T_c,T_d,V_f_2,V_B_2,V_B_H_2)
% 206.97/207.86 => c_Fun_Obij__betw(T_c,T_d,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_d,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__def,axiom,
% 206.97/207.86 ! [V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 <=> ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 & hAPP(c_Set_Oimage(T_c,T_d,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)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bijI,axiom,
% 206.97/207.86 ! [V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 206.97/207.86 => ( hAPP(c_Set_Oimage(T_c,T_d,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))
% 206.97/207.86 => c_Fun_Obij__betw(T_c,T_d,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))) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_vimage__subset__eq,axiom,
% 206.97/207.86 ! [V_A_2,V_B_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_B_2)),V_A_2))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2))) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bij__vimage__eq__inv__image,axiom,
% 206.97/207.86 ! [V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Obij__betw(T_c,T_d,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)))
% 206.97/207.86 => hAPP(c_Set_Ovimage(T_c,T_d,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_d,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_d,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 206.97/207.86 ! [V_M_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_M_2))
% 206.97/207.86 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_c,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),V_M_2)),V_M_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_Cantor__Bernstein,axiom,
% 206.97/207.86 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Fun_Oinj__on(T_c,T_d,V_f_2,V_A_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2))
% 206.97/207.86 => ( c_Fun_Oinj__on(T_d,T_c,V_g_2,V_B_2)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_B_2)),V_A_2))
% 206.97/207.86 => ? [B_h] : c_Fun_Obij__betw(T_c,T_d,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_ex__bij__betw__nat__finite,axiom,
% 206.97/207.86 ! [V_M_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_M_2))
% 206.97/207.86 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_c,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_c),V_M_2)),V_M_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_ex__bij__betw__finite__nat,axiom,
% 206.97/207.86 ! [V_M_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_M_2))
% 206.97/207.86 => ? [B_h] : c_Fun_Obij__betw(T_c,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_c),V_M_2))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_refl__on__UNION,axiom,
% 206.97/207.86 ! [V_r_2,V_A_2,T_d,V_S_2,T_c] :
% 206.97/207.86 ( ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_S_2))
% 206.97/207.86 => c_Relation_Orefl__on(T_d,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 206.97/207.86 => c_Relation_Orefl__on(T_d,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_d,T_d),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bex__reg__eqv,axiom,
% 206.97/207.86 ! [V_Pa_2,V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.86 => ( ? [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),c_Quotient_ORespects(T_c,V_R_2)))
% 206.97/207.86 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.86 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_in__respects,axiom,
% 206.97/207.86 ! [V_R_2,V_x_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),c_Quotient_ORespects(T_c,V_R_2)))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_Respects__def,axiom,
% 206.97/207.86 ! [V_x_2,V_R_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(c_Quotient_ORespects(T_c,V_R_2),V_x_2))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_bex__reg__right,axiom,
% 206.97/207.86 ! [V_Pa_2,V_Qa_2,V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.86 => ( ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(V_Qa_2,B_x))
% 206.97/207.86 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 206.97/207.86 => ( ? [B_x1] : hBOOL(hAPP(V_Qa_2,B_x1))
% 206.97/207.86 => ? [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),c_Quotient_ORespects(T_c,V_R_2)))
% 206.97/207.86 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_babs__reg__eqv,axiom,
% 206.97/207.86 ! [V_Pa_2,T_d,V_R_2,T_c] :
% 206.97/207.86 ( c_Equiv__Relations_Oequivp(T_c,V_R_2)
% 206.97/207.86 => c_Quotient_OBabs(T_c,T_d,c_Quotient_ORespects(T_c,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_Babs__def,axiom,
% 206.97/207.86 ! [V_m_2,T_d,V_p_2,V_x_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_p_2))
% 206.97/207.86 => hAPP(c_Quotient_OBabs(T_c,T_d,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_wf__weak__decr__stable,axiom,
% 206.97/207.86 ! [V_r_2,V_f_2,T_c] :
% 206.97/207.86 ( ! [B_i] : 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,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_c,V_r_2)))
% 206.97/207.86 => ( c_Wellfounded_Owf(T_c,c_Transitive__Closure_Otrancl(T_c,V_r_2))
% 206.97/207.86 => ? [B_i] :
% 206.97/207.86 ! [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) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_INT__greatest,axiom,
% 206.97/207.86 ! [V_B_2,V_C_2,T_d,V_A_2,T_c] :
% 206.97/207.86 ( ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) )
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_INT__anti__mono,axiom,
% 206.97/207.86 ! [V_g_2,V_f_2,T_d,V_A_2,V_B_2,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 206.97/207.86 => ( ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_rtrancl__induct2,axiom,
% 206.97/207.86 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_d,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_c,T_d),V_r_2)))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 206.97/207.86 => ( ! [B_a,B_b] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_c,T_d),V_r_2)))
% 206.97/207.86 => ! [B_aa,B_ba] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_aa),B_ba))),V_r_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 206.97/207.86 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 206.97/207.86 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_converse__rtranclE2,axiom,
% 206.97/207.86 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_d,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_c,T_d),V_r_2)))
% 206.97/207.86 => ( hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_za_2),V_zb_2)
% 206.97/207.86 => ~ ! [B_a,B_b] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_a),B_b))),V_r_2))
% 206.97/207.86 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_c,T_d),V_r_2))) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_converse__rtrancl__induct2,axiom,
% 206.97/207.86 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_d,T_c] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_c,T_d),V_r_2)))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 206.97/207.86 => ( ! [B_a,B_b,B_aa,B_ba] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_aa),B_ba))),V_r_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_c,T_d),tc_prod(T_c,T_d))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_c,T_d),tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_c,T_d),V_r_2)))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 206.97/207.86 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 206.97/207.86 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_congruent2I_H,axiom,
% 206.97/207.86 ! [T_e,V_f_2,V_r2_2,T_d,V_r1_2,T_c] :
% 206.97/207.86 ( ! [B_y1,B_z1] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y1),B_z1)),V_r1_2))
% 206.97/207.86 => ! [B_y2,B_z2] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_d),B_y2),B_z2)),V_r2_2))
% 206.97/207.86 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 206.97/207.86 => c_Equiv__Relations_Ocongruent2(T_c,T_d,T_e,V_r1_2,V_r2_2,V_f_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_congruentI,axiom,
% 206.97/207.86 ! [T_d,V_f_2,V_r_2,T_c] :
% 206.97/207.86 ( ! [B_y,B_z] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y),B_z)),V_r_2))
% 206.97/207.86 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 206.97/207.86 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r_2,V_f_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact__03,axiom,
% 206.97/207.86 ! [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)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_all__interval__nat__def,axiom,
% 206.97/207.86 ! [V_j_2,V_i_2,V_Pa_2] :
% 206.97/207.86 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 206.97/207.86 <=> ! [B_x] :
% 206.97/207.86 ( 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)))
% 206.97/207.86 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact__04,axiom,
% 206.97/207.86 ! [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) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_list__all__iff__all__interval__nat,axiom,
% 206.97/207.86 ! [V_j_2,V_i_2,V_Pa_2] :
% 206.97/207.86 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 206.97/207.86 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 206.97/207.86 ! [V_j_2,V_i_2,V_Pa_2] :
% 206.97/207.86 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 206.97/207.86 <=> ~ 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) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact__05,axiom,
% 206.97/207.86 ! [V_f_2,V_xq_2,T_c,T_d] : hAPP(c_Lazy__Sequence_Obind(T_d,T_c,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_c,c_Lazy__Sequence_Omap(T_d,tc_Lazy__Sequence_Olazy__sequence(T_c),V_f_2,V_xq_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_folding__image_Ocong,axiom,
% 206.97/207.86 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_d,T_c] :
% 206.97/207.86 ( c_Finite__Set_Ofolding__image(T_c,T_d,V_f_2,V_z_2,V_F_2)
% 206.97/207.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),V_A_2))
% 206.97/207.86 => ( ! [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 206.97/207.86 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 206.97/207.86 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact__06,axiom,
% 206.97/207.86 ! [V_xq_2,V_x_2,V_f_2,T_c,T_d] : c_Lazy__Sequence_Omap(T_d,T_c,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_d,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_d,T_c,V_f_2,V_xq_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact__07,axiom,
% 206.97/207.86 ! [V_f_2,T_c,T_d] : c_Lazy__Sequence_Omap(T_d,T_c,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_d)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_New__DSequence_Opos__map__def,axiom,
% 206.97/207.86 ! [V_i_2,V_xq_2,V_f_2,T_c,T_d] : c_New__DSequence_Opos__map(T_d,T_c,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_d,T_c,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_power__dvd__imp__le,axiom,
% 206.97/207.86 ! [V_n,V_m,V_i] :
% 206.97/207.86 ( 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)))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_Oorder__refl,axiom,
% 206.97/207.86 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__0__right,axiom,
% 206.97/207.86 ! [V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__1__left,axiom,
% 206.97/207.86 ! [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)) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__imp__le,axiom,
% 206.97/207.86 ! [V_n,V_k] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mult__cancel,axiom,
% 206.97/207.86 ! [V_n,V_m,V_k] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_nat__mult__dvd__cancel1,axiom,
% 206.97/207.86 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_setprod__dvd__setprod__subset,axiom,
% 206.97/207.86 ! [V_f_2,V_A_2,V_B_2,T_c,T_d] :
% 206.97/207.86 ( ( class_Groups_Ocomm__monoid__mult(T_d)
% 206.97/207.86 & class_Rings_Odvd(T_d) )
% 206.97/207.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_f_2),V_B_2))) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inf__period_I4_J,axiom,
% 206.97/207.86 ! [V_t_2,V_D_2,V_d_2,T_c] :
% 206.97/207.86 ( ( class_Rings_Ocomm__ring(T_c)
% 206.97/207.86 & class_Rings_Odvd(T_c) )
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_d_2),V_D_2))
% 206.97/207.86 => ! [B_x,B_k] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),B_x),V_t_2)))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_inf__period_I3_J,axiom,
% 206.97/207.86 ! [V_t_2,V_D_2,V_d_2,T_c] :
% 206.97/207.86 ( ( class_Rings_Ocomm__ring(T_c)
% 206.97/207.86 & class_Rings_Odvd(T_c) )
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_d_2),V_D_2))
% 206.97/207.86 => ! [B_x,B_k] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),B_x),V_t_2)))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__div__eq__mult,axiom,
% 206.97/207.86 ! [V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_c)
% 206.97/207.86 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_a_2),V_b_2))
% 206.97/207.86 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_c),V_b_2),V_a_2) = V_c_2
% 206.97/207.86 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_a_2) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__div__div__eq__mult,axiom,
% 206.97/207.86 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_c] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_c)
% 206.97/207.86 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.86 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_a_2),V_b_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_c_2),V_d_2))
% 206.97/207.86 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_c),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_c),V_d_2),V_c_2)
% 206.97/207.86 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_d_2) ) ) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mult__div__cancel,axiom,
% 206.97/207.86 ! [V_b,V_a,T_a] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 206.97/207.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_div__mult__swap,axiom,
% 206.97/207.86 ! [V_a,V_b,V_c,T_a] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 206.97/207.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__div__mult__self,axiom,
% 206.97/207.86 ! [V_b,V_a,T_a] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 206.97/207.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__div__mult,axiom,
% 206.97/207.86 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 206.97/207.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_div__mult__div__if__dvd,axiom,
% 206.97/207.86 ! [V_w,V_z,V_x,V_y,T_a] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 206.97/207.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__triv__left,axiom,
% 206.97/207.86 ! [V_b,V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__triv__right,axiom,
% 206.97/207.86 ! [V_b,V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mult2,axiom,
% 206.97/207.86 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mult,axiom,
% 206.97/207.86 ! [V_b,V_c,V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_mult__dvd__mono,axiom,
% 206.97/207.86 ! [V_d,V_c,V_b,V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvdI,axiom,
% 206.97/207.86 ! [V_k,V_b,V_a,T_a] :
% 206.97/207.86 ( class_Rings_Odvd(T_a)
% 206.97/207.86 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mult__left,axiom,
% 206.97/207.86 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mult__right,axiom,
% 206.97/207.86 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mult__cancel__left,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2,V_c_2,T_c] :
% 206.97/207.86 ( class_Rings_Oidom(T_c)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_c_2),V_b_2)))
% 206.97/207.86 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.86 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_a_2),V_b_2)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mult__cancel__right,axiom,
% 206.97/207.86 ! [V_b_2,V_c_2,V_a_2,T_c] :
% 206.97/207.86 ( class_Rings_Oidom(T_c)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_b_2),V_c_2)))
% 206.97/207.86 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_c)
% 206.97/207.86 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_a_2),V_b_2)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 206.97/207.86 ! [V_n_2,V_m_2,V_k_2] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 206.97/207.86 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 206.97/207.86 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_unity__coeff__ex,axiom,
% 206.97/207.86 ! [V_l_2,V_Pa_2,T_c] :
% 206.97/207.86 ( ( class_Rings_Odvd(T_c)
% 206.97/207.86 & class_Rings_Osemiring__0(T_c) )
% 206.97/207.86 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),V_l_2),B_x)))
% 206.97/207.86 <=> ? [B_x] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),B_x),c_Groups_Ozero__class_Ozero(T_c))))
% 206.97/207.86 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2] :
% 206.97/207.86 ( V_a_2 = V_b_2
% 206.97/207.86 => 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))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 206.97/207.86 ! [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))) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 206.97/207.86 ! [V_c_2,V_b_2,V_a_2] :
% 206.97/207.86 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))
% 206.97/207.86 <=> ( V_a_2 = V_b_2
% 206.97/207.86 & V_b_2 = V_c_2 ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2] :
% 206.97/207.86 ( 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)
% 206.97/207.86 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 206.97/207.86 ! [V_l_2,V_k_2] :
% 206.97/207.86 ( 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)
% 206.97/207.86 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2] :
% 206.97/207.86 ( 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))
% 206.97/207.86 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 206.97/207.86 ! [V_l_2,V_k_2] :
% 206.97/207.86 ( 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))
% 206.97/207.86 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 206.97/207.86 ! [V_k_2,V_l_2] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 206.97/207.86 => 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)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 206.97/207.86 ! [V_a_2,V_b_2] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 206.97/207.86 => 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)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 206.97/207.86 ! [V_k_2,V_l_2] :
% 206.97/207.86 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 206.97/207.86 => 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)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2] :
% 206.97/207.86 ( 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)
% 206.97/207.86 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2] :
% 206.97/207.86 ( 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))
% 206.97/207.86 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 206.97/207.86 ! [V_a_2,V_b_2] :
% 206.97/207.86 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 206.97/207.86 => 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)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__div__neg,axiom,
% 206.97/207.86 ! [V_x,V_y,T_a] :
% 206.97/207.86 ( class_Divides_Oring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 206.97/207.86 => 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)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__neg__div,axiom,
% 206.97/207.86 ! [V_x,V_y,T_a] :
% 206.97/207.86 ( class_Divides_Oring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 206.97/207.86 => 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)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_minus__dvd__iff,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.86 ( class_Rings_Ocomm__ring__1(T_c)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_x_2)),V_y_2))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_x_2),V_y_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__minus__iff,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2,T_c] :
% 206.97/207.86 ( class_Rings_Ocomm__ring__1(T_c)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_c),V_y_2)))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_x_2),V_y_2)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__1__iff__1,axiom,
% 206.97/207.86 ! [V_m_2] :
% 206.97/207.86 ( 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))))
% 206.97/207.86 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__imp__mod__0,axiom,
% 206.97/207.86 ! [V_b,V_a,T_a] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 206.97/207.86 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__eq__mod__eq__0,axiom,
% 206.97/207.86 ! [V_b_2,V_a_2,T_c] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_c)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_a_2),V_b_2))
% 206.97/207.86 <=> c_Divides_Odiv__class_Omod(T_c,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_div__dvd__div,axiom,
% 206.97/207.86 ! [V_c_2,V_b_2,V_a_2,T_c] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_c)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_a_2),V_b_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_a_2),V_c_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_c),V_b_2),V_a_2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_c),V_c_2),V_a_2)))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_b_2),V_c_2)) ) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__0__left,axiom,
% 206.97/207.86 ! [V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 206.97/207.86 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mod__imp__dvd,axiom,
% 206.97/207.86 ! [V_n,V_m,V_k,T_a] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mod,axiom,
% 206.97/207.86 ! [V_n,V_m,V_k,T_a] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_mod__mod__cancel,axiom,
% 206.97/207.86 ! [V_a,V_b,V_c,T_a] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 206.97/207.86 => 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) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__mod__iff,axiom,
% 206.97/207.86 ! [V_m_2,V_n_2,V_k_2,T_c] :
% 206.97/207.86 ( class_Divides_Osemiring__div(T_c)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_k_2),V_n_2))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_k_2),c_Divides_Odiv__class_Omod(T_c,V_m_2,V_n_2)))
% 206.97/207.86 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),V_k_2),V_m_2)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__trans,axiom,
% 206.97/207.86 ! [V_c,V_b,V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd__refl,axiom,
% 206.97/207.86 ! [V_a,T_a] :
% 206.97/207.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 206.97/207.86 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_Oless__asym,axiom,
% 206.97/207.86 ! [V_y,V_x] :
% 206.97/207.86 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 206.97/207.86 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 206.97/207.86
% 206.97/207.86 fof(fact_dvd_Oless__trans,axiom,
% 206.97/207.86 ! [V_z,V_y,V_x] :
% 206.97/207.86 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 206.97/207.86 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 206.97/207.86 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 206.97/207.86 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 206.97/207.86
% 206.97/207.86 %----Arity declarations (222)
% 206.97/207.86 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 206.97/207.86 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Lattices_Obounded__lattice(T_1)
% 206.97/207.86 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 206.97/207.86 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Lattices_Obounded__lattice(T_1)
% 206.97/207.86 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Lattices_Obounded__lattice(T_1)
% 206.97/207.86 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Lattices_Olattice(T_1)
% 206.97/207.86 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Lattices_Olattice(T_1)
% 206.97/207.86 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Lattices_Odistrib__lattice(T_1)
% 206.97/207.86 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Lattices_Oboolean__algebra(T_1)
% 206.97/207.86 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Orderings_Opreorder,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Orderings_Opreorder(T_1)
% 206.97/207.86 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 206.97/207.86 ! [T_1,T_2] :
% 206.97/207.86 ( ( class_Finite__Set_Ofinite(T_2)
% 206.97/207.86 & class_Finite__Set_Ofinite(T_1) )
% 206.97/207.86 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Lattices_Olattice,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Lattices_Olattice(T_1)
% 206.97/207.86 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Orderings_Oorder,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Orderings_Oorder(T_1)
% 206.97/207.86 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Orderings_Otop,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Orderings_Otop(T_1)
% 206.97/207.86 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Orderings_Oord,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Orderings_Oord(T_1)
% 206.97/207.86 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Orderings_Obot,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Orderings_Obot(T_1)
% 206.97/207.86 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Groups_Ouminus,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Groups_Ouminus(T_1)
% 206.97/207.86 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Groups_Ominus,axiom,
% 206.97/207.86 ! [T_2,T_1] :
% 206.97/207.86 ( class_Groups_Ominus(T_1)
% 206.97/207.86 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_fun__Enum_Oenum,axiom,
% 206.97/207.86 ! [T_1,T_2] :
% 206.97/207.86 ( ( class_Enum_Oenum(T_2)
% 206.97/207.86 & class_Enum_Oenum(T_1) )
% 206.97/207.86 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 206.97/207.86 class_Nat_Osize(tc_Com_Ocom) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 206.97/207.86 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 206.97/207.86 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 206.97/207.86 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 206.97/207.86 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 206.97/207.86 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 206.97/207.86 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 206.97/207.86 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 206.97/207.86 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 206.97/207.86 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 206.97/207.86 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 206.97/207.86 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 206.97/207.86 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 206.97/207.86 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 206.97/207.86 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 206.97/207.86 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 206.97/207.86 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 206.97/207.86 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 206.97/207.86 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 206.97/207.86 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 206.97/207.86 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 206.97/207.86 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 206.97/207.86 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 206.97/207.86 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 206.97/207.86 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 206.97/207.86 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 206.97/207.86 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 206.97/207.86 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 206.97/207.86 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 206.97/207.86 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 206.97/207.86 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 206.97/207.86 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 206.97/207.86 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 206.97/207.86 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 206.97/207.86 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 206.97/207.86 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 206.97/207.86 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 206.97/207.86 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 206.97/207.86 class_Orderings_Opreorder(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 206.97/207.86 class_Orderings_Olinorder(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 206.97/207.86 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 206.97/207.86 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 206.97/207.86 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 206.97/207.86 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 206.97/207.86 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 206.97/207.86 class_Lattices_Olattice(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 206.97/207.86 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 206.97/207.86 class_Divides_Oring__div(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 206.97/207.86 class_Rings_Omult__zero(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 206.97/207.86 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 206.97/207.86 class_Orderings_Oorder(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 206.97/207.86 class_Int_Oring__char__0(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 206.97/207.86 class_Int_Onumber__ring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 206.97/207.86 class_Rings_Osemiring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 206.97/207.86 class_Orderings_Oord(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 206.97/207.86 class_Groups_Ouminus(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 206.97/207.86 class_Groups_Osgn__if(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 206.97/207.86 class_Groups_Oabs__if(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 206.97/207.86 class_Rings_Oring__1(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 206.97/207.86 class_Groups_Ominus(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Power_Opower,axiom,
% 206.97/207.86 class_Power_Opower(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 206.97/207.86 class_Groups_Ozero(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oring,axiom,
% 206.97/207.86 class_Rings_Oring(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 206.97/207.86 class_Rings_Oidom(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Int_Onumber,axiom,
% 206.97/207.86 class_Int_Onumber(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Groups_Oone,axiom,
% 206.97/207.86 class_Groups_Oone(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 206.97/207.86 class_Rings_Odvd(tc_Int_Oint) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 206.97/207.86 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 206.97/207.86 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 206.97/207.86 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 206.97/207.86 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 206.97/207.86 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 206.97/207.86 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 206.97/207.86 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 206.97/207.86 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 206.97/207.86 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 206.97/207.86 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 206.97/207.86 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 206.97/207.86 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 206.97/207.86 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 206.97/207.86 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 206.97/207.86 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 206.97/207.86 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 206.97/207.86 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 206.97/207.86 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 206.97/207.86 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 206.97/207.86 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 206.97/207.86 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 206.97/207.86 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 206.97/207.86 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 206.97/207.86 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 206.97/207.86 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 206.97/207.86 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 206.97/207.86 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 206.97/207.86 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 206.97/207.86 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 206.97/207.86 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 206.97/207.86 class_Lattices_Olattice(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 206.97/207.86 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 206.97/207.86 class_Orderings_Oorder(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 206.97/207.86 class_Rings_Osemiring(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 206.97/207.86 class_Orderings_Oord(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 206.97/207.86 class_Orderings_Obot(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 206.97/207.86 class_Groups_Ominus(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Power_Opower,axiom,
% 206.97/207.86 class_Power_Opower(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 206.97/207.86 class_Groups_Ozero(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 206.97/207.86 class_Int_Onumber(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 206.97/207.86 class_Groups_Oone(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 206.97/207.86 class_Rings_Odvd(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 206.97/207.86 class_Nat_Osize(tc_Nat_Onat) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 206.97/207.86 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 206.97/207.86 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 206.97/207.86 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 206.97/207.86 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 206.97/207.86 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 206.97/207.86 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 206.97/207.86 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 206.97/207.86 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 206.97/207.86 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 206.97/207.86 class_Lattices_Olattice(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 206.97/207.86 class_Orderings_Oorder(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 206.97/207.86 class_Orderings_Otop(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 206.97/207.86 class_Orderings_Oord(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 206.97/207.86 class_Orderings_Obot(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 206.97/207.86 class_Groups_Ouminus(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 206.97/207.86 class_Groups_Ominus(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 206.97/207.86 class_Enum_Oenum(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 206.97/207.86 class_Nat_Osize(tc_HOL_Obool) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 206.97/207.86 class_Nat_Osize(tc_Com_Ostate) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 206.97/207.86 ! [T_1] :
% 206.97/207.86 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 206.97/207.86 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_List__Olist__Nat_Osize,axiom,
% 206.97/207.86 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 206.97/207.86 ! [T_1,T_2] :
% 206.97/207.86 ( ( class_Finite__Set_Ofinite(T_2)
% 206.97/207.86 & class_Finite__Set_Ofinite(T_1) )
% 206.97/207.86 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_sum__Enum_Oenum,axiom,
% 206.97/207.86 ! [T_1,T_2] :
% 206.97/207.86 ( ( class_Enum_Oenum(T_2)
% 206.97/207.86 & class_Enum_Oenum(T_1) )
% 206.97/207.86 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_sum__Nat_Osize,axiom,
% 206.97/207.86 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 206.97/207.86 ! [T_1] :
% 206.97/207.86 ( class_Finite__Set_Ofinite(T_1)
% 206.97/207.86 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 206.97/207.86 ! [T_1] :
% 206.97/207.86 ( class_Enum_Oenum(T_1)
% 206.97/207.86 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 206.97/207.86 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 206.97/207.86 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 206.97/207.86 ! [T_1,T_2] :
% 206.97/207.86 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 206.97/207.86 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 206.97/207.86 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 206.97/207.86 ! [T_1,T_2] :
% 206.97/207.86 ( ( class_Finite__Set_Ofinite(T_2)
% 206.97/207.86 & class_Finite__Set_Ofinite(T_1) )
% 206.97/207.86 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_prod__Enum_Oenum,axiom,
% 206.97/207.86 ! [T_1,T_2] :
% 206.97/207.86 ( ( class_Enum_Oenum(T_2)
% 206.97/207.86 & class_Enum_Oenum(T_1) )
% 206.97/207.86 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_prod__Nat_Osize,axiom,
% 206.97/207.86 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 206.97/207.86 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 206.97/207.86 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 206.97/207.86 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 206.97/207.86 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 206.97/207.86 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 206.97/207.86 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 206.97/207.86 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 206.97/207.86 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 206.97/207.86 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 206.97/207.86 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 206.97/207.86 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 206.97/207.86 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 206.97/207.86 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 206.97/207.86 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 206.97/207.86 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 206.97/207.86 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 206.97/207.86 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 206.97/207.86 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 206.97/207.86 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 206.97/207.86 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 206.97/207.86 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 206.97/207.86 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 206.97/207.86 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 206.97/207.86 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 206.97/207.86 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 206.97/207.86 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 206.97/207.86 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 206.97/207.86 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 206.97/207.86 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 206.97/207.86 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 206.97/207.86 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 206.97/207.86 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 206.97/207.86 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 206.97/207.86 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 206.97/207.86 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 206.97/207.86 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 206.97/207.86 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 206.97/207.86 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 206.97/207.86 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 206.97/207.86 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 206.97/207.86 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 206.97/207.86 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 206.97/207.86 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 206.97/207.86
% 206.97/207.86 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 206.97/207.86 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 206.97/207.86
% 206.97/207.86 %----Helper facts (20)
% 206.97/207.86 fof(help_c__COMBI__1,axiom,
% 206.97/207.86 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__COMBK__1,axiom,
% 206.97/207.86 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__COMBB__1,axiom,
% 206.97/207.86 ! [V_R_2,V_Qa_2,V_Pa_2,T_e,T_c,T_d] : hAPP(hAPP(hAPP(c_COMBB(T_d,T_c,T_e),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__COMBC__1,axiom,
% 206.97/207.86 ! [V_R_2,V_Qa_2,V_Pa_2,T_c,T_e,T_d] : hAPP(hAPP(hAPP(c_COMBC(T_d,T_e,T_c),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Qa_2) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__COMBS__1,axiom,
% 206.97/207.86 ! [V_R_2,V_Qa_2,V_Pa_2,T_c,T_e,T_d] : hAPP(hAPP(hAPP(c_COMBS(T_d,T_e,T_c),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fequal__1,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2] :
% 206.97/207.86 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 206.97/207.86 | V_x_2 = V_y_2 ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fequal__2,axiom,
% 206.97/207.86 ! [V_y_2,V_x_2] :
% 206.97/207.86 ( V_x_2 != V_y_2
% 206.97/207.86 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fFalse__1,axiom,
% 206.97/207.86 ~ hBOOL(c_fFalse) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fTrue__1,axiom,
% 206.97/207.86 hBOOL(c_fTrue) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fNot__1,axiom,
% 206.97/207.86 ! [V_Pa_2] :
% 206.97/207.86 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 206.97/207.86 | ~ hBOOL(V_Pa_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fNot__2,axiom,
% 206.97/207.86 ! [V_Pa_2] :
% 206.97/207.86 ( ~ ~ hBOOL(V_Pa_2)
% 206.97/207.86 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fconj__1,axiom,
% 206.97/207.86 ! [V_Qa_2,V_Pa_2] :
% 206.97/207.86 ( ~ hBOOL(V_Pa_2)
% 206.97/207.86 | ~ hBOOL(V_Qa_2)
% 206.97/207.86 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fconj__2,axiom,
% 206.97/207.86 ! [V_Qa_2,V_Pa_2] :
% 206.97/207.86 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 206.97/207.86 | hBOOL(V_Pa_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fconj__3,axiom,
% 206.97/207.86 ! [V_Qa_2,V_Pa_2] :
% 206.97/207.86 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 206.97/207.86 | hBOOL(V_Qa_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fdisj__1,axiom,
% 206.97/207.86 ! [V_Qa_2,V_Pa_2] :
% 206.97/207.86 ( ~ hBOOL(V_Pa_2)
% 206.97/207.86 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fdisj__2,axiom,
% 206.97/207.86 ! [V_Pa_2,V_Qa_2] :
% 206.97/207.86 ( ~ hBOOL(V_Qa_2)
% 206.97/207.86 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fdisj__3,axiom,
% 206.97/207.86 ! [V_Qa_2,V_Pa_2] :
% 206.97/207.86 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2))
% 206.97/207.86 | hBOOL(V_Pa_2)
% 206.97/207.86 | hBOOL(V_Qa_2) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fimplies__1,axiom,
% 206.97/207.86 ! [V_Qa_2,V_Pa_2] :
% 206.97/207.86 ( hBOOL(V_Pa_2)
% 206.97/207.86 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fimplies__2,axiom,
% 206.97/207.86 ! [V_Pa_2,V_Qa_2] :
% 206.97/207.86 ( ~ hBOOL(V_Qa_2)
% 206.97/207.86 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(help_c__fimplies__3,axiom,
% 206.97/207.86 ! [V_Qa_2,V_Pa_2] :
% 206.97/207.86 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2))
% 206.97/207.86 | ~ hBOOL(V_Pa_2)
% 206.97/207.86 | hBOOL(V_Qa_2) ) ).
% 206.97/207.86
% 206.97/207.86 %----Conjectures (5)
% 206.97/207.86 fof(conj_0,hypothesis,
% 206.97/207.86 ! [B_p] :
% 206.97/207.86 ( c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,B_p)),hAPP(v_c0,B_p)),hAPP(v_Q_H,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool))))
% 206.97/207.86 => c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,B_p)),hAPP(v_c0,B_p)),hAPP(v_Q,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))) ) ).
% 206.97/207.86
% 206.97/207.86 fof(conj_1,hypothesis,
% 206.97/207.86 hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),v_F)) ).
% 206.97/207.86
% 206.97/207.86 fof(conj_2,hypothesis,
% 206.97/207.86 ~ hBOOL(hAPP(hAPP(c_member(t_a),v_x),v_F)) ).
% 206.97/207.86
% 206.97/207.86 fof(conj_3,hypothesis,
% 206.97/207.86 ( c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(c_Set_Oimage(t_a,tc_Hoare__Mirabelle_Otriple(t_b),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(c_COMBS(t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),c_Hoare__Mirabelle_Otriple_Otriple(t_b)),v_P_H)),v_c0)),v_Q_H)),v_F))
% 206.97/207.86 => c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(c_Set_Oimage(t_a,tc_Hoare__Mirabelle_Otriple(t_b),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(c_COMBS(t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),c_Hoare__Mirabelle_Otriple_Otriple(t_b)),v_P)),v_c0)),v_Q)),v_F)) ) ).
% 206.97/207.86
% 206.97/207.86 fof(conj_4,conjecture,
% 206.97/207.86 ( c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(c_Set_Oimage(t_a,tc_Hoare__Mirabelle_Otriple(t_b),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(c_COMBS(t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),c_Hoare__Mirabelle_Otriple_Otriple(t_b)),v_P_H)),v_c0)),v_Q_H)),hAPP(hAPP(c_Set_Oinsert(t_a),v_x),v_F)))
% 206.97/207.86 => c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(c_Set_Oimage(t_a,tc_Hoare__Mirabelle_Otriple(t_b),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(c_COMBS(t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),c_Hoare__Mirabelle_Otriple_Otriple(t_b)),v_P)),v_c0)),v_Q)),hAPP(hAPP(c_Set_Oinsert(t_a),v_x),v_F))) ) ).
% 206.97/207.86
% 206.97/207.86 %------------------------------------------------------------------------------
% 206.97/207.86 %-------------------------------------------
% 206.97/207.86 % Proof found
% 206.97/207.86 % SZS status Theorem for theBenchmark
% 206.97/207.86 % SZS output start Proof
% 206.97/207.87 %ClaNum:10449(EqnAxiom:3092)
% 206.97/207.87 %VarNum:71002(SingletonVarNum:20547)
% 206.97/207.87 %MaxLitNum:8
% 206.97/207.87 %MaxfuncDepth:13
% 206.97/207.87 %SharedTerms:1053
% 206.97/207.87 %goalClause: 4622 4736
% 206.97/207.87 %singleGoalClaCount:2
% 206.97/207.87 [3096]P1(a188)
% 206.97/207.87 [3097]P2(a910)
% 206.97/207.87 [3098]P2(a914)
% 206.97/207.87 [3099]P65(a910)
% 206.97/207.87 [3100]P65(a915)
% 206.97/207.87 [3101]P66(a910)
% 206.97/207.87 [3102]P66(a915)
% 206.97/207.87 [3103]P66(a1)
% 206.97/207.87 [3104]P66(a100)
% 206.97/207.87 [3105]P67(a1)
% 206.97/207.87 [3106]P106(a1)
% 206.97/207.87 [3107]P107(a910)
% 206.97/207.87 [3108]P107(a915)
% 206.97/207.87 [3109]P107(a1)
% 206.97/207.87 [3110]P107(a100)
% 206.97/207.87 [3111]P108(a915)
% 206.97/207.87 [3112]P108(a1)
% 206.97/207.87 [3113]P108(a100)
% 206.97/207.87 [3114]P109(a910)
% 206.97/207.87 [3115]P109(a915)
% 206.97/207.87 [3116]P109(a1)
% 206.97/207.87 [3117]P109(a100)
% 206.97/207.87 [3118]P110(a910)
% 206.97/207.87 [3119]P110(a915)
% 206.97/207.87 [3120]P110(a1)
% 206.97/207.87 [3121]P110(a100)
% 206.97/207.87 [3122]P68(a915)
% 206.97/207.87 [3123]P68(a1)
% 206.97/207.87 [3124]P68(a100)
% 206.97/207.87 [3125]P78(a1)
% 206.97/207.87 [3126]P69(a915)
% 206.97/207.87 [3127]P69(a1)
% 206.97/207.87 [3128]P69(a100)
% 206.97/207.87 [3129]P70(a915)
% 206.97/207.87 [3130]P70(a1)
% 206.97/207.87 [3131]P70(a100)
% 206.97/207.87 [3132]P71(a915)
% 206.97/207.87 [3133]P71(a1)
% 206.97/207.87 [3134]P71(a100)
% 206.97/207.87 [3135]P82(a915)
% 206.97/207.87 [3136]P82(a1)
% 206.97/207.87 [3137]P82(a100)
% 206.97/207.87 [3138]P83(a915)
% 206.97/207.87 [3139]P83(a1)
% 206.97/207.87 [3140]P83(a100)
% 206.97/207.87 [3141]P74(a1)
% 206.97/207.87 [3142]P72(a915)
% 206.97/207.87 [3143]P72(a1)
% 206.97/207.87 [3144]P72(a100)
% 206.97/207.87 [3145]P85(a915)
% 206.97/207.87 [3146]P85(a1)
% 206.97/207.87 [3147]P85(a100)
% 206.97/207.87 [3148]P139(a915)
% 206.97/207.87 [3149]P139(a1)
% 206.97/207.87 [3150]P139(a100)
% 206.97/207.87 [3151]P111(a1)
% 206.97/207.87 [3152]P112(a915)
% 206.97/207.87 [3153]P112(a1)
% 206.97/207.87 [3154]P112(a100)
% 206.97/207.87 [3155]P144(a915)
% 206.97/207.87 [3156]P144(a1)
% 206.97/207.87 [3157]P113(a915)
% 206.97/207.87 [3158]P113(a1)
% 206.97/207.87 [3159]P113(a100)
% 206.97/207.87 [3160]P119(a1)
% 206.97/207.87 [3161]P140(a915)
% 206.97/207.87 [3162]P140(a1)
% 206.97/207.87 [3163]P140(a100)
% 206.97/207.87 [3164]P75(a915)
% 206.97/207.87 [3165]P75(a1)
% 206.97/207.87 [3166]P75(a100)
% 206.97/207.87 [3167]P76(a1)
% 206.97/207.87 [3168]P86(a910)
% 206.97/207.87 [3169]P87(a910)
% 206.97/207.87 [3170]P87(a1)
% 206.97/207.87 [3171]P120(a1)
% 206.97/207.87 [3172]P114(a1)
% 206.97/207.87 [3173]P96(a910)
% 206.97/207.87 [3174]P96(a915)
% 206.97/207.87 [3175]P96(a1)
% 206.97/207.87 [3176]P115(a910)
% 206.97/207.87 [3177]P97(a910)
% 206.97/207.87 [3178]P101(a910)
% 206.97/207.87 [3179]P101(a915)
% 206.97/207.87 [3180]P101(a1)
% 206.97/207.87 [3181]P98(a910)
% 206.97/207.87 [3182]P79(a915)
% 206.97/207.87 [3183]P79(a1)
% 206.97/207.87 [3184]P79(a100)
% 206.97/207.87 [3185]P80(a915)
% 206.97/207.87 [3186]P80(a1)
% 206.97/207.87 [3187]P80(a100)
% 206.97/207.87 [3188]P126(a915)
% 206.97/207.87 [3189]P126(a1)
% 206.97/207.87 [3190]P126(a100)
% 206.97/207.87 [3191]P141(a1)
% 206.97/207.87 [3192]P142(a1)
% 206.97/207.87 [3193]P116(a915)
% 206.97/207.87 [3194]P116(a1)
% 206.97/207.87 [3195]P116(a100)
% 206.97/207.87 [3196]P3(a910)
% 206.97/207.87 [3197]P102(a910)
% 206.97/207.87 [3198]P102(a915)
% 206.97/207.87 [3199]P102(a1)
% 206.97/207.87 [3200]P100(a910)
% 206.97/207.87 [3201]P100(a915)
% 206.97/207.87 [3202]P100(a1)
% 206.97/207.87 [3203]P91(a915)
% 206.97/207.87 [3204]P91(a1)
% 206.97/207.87 [3205]P91(a100)
% 206.97/207.87 [3206]P129(a915)
% 206.97/207.87 [3207]P129(a1)
% 206.97/207.87 [3208]P129(a100)
% 206.97/207.87 [3209]P134(a915)
% 206.97/207.87 [3210]P134(a1)
% 206.97/207.87 [3211]P134(a100)
% 206.97/207.87 [3212]P145(a915)
% 206.97/207.87 [3213]P145(a1)
% 206.97/207.87 [3214]P145(a100)
% 206.97/207.87 [3215]P81(a915)
% 206.97/207.87 [3216]P81(a1)
% 206.97/207.87 [3217]P81(a100)
% 206.97/207.87 [3218]P143(a1)
% 206.97/207.87 [3219]P127(a1)
% 206.97/207.87 [3220]P128(a1)
% 206.97/207.87 [3221]P88(a915)
% 206.97/207.87 [3222]P88(a1)
% 206.97/207.87 [3223]P88(a100)
% 206.97/207.87 [3224]P135(a915)
% 206.97/207.87 [3225]P135(a1)
% 206.97/207.87 [3226]P135(a100)
% 206.97/207.87 [3227]P137(a915)
% 206.97/207.87 [3228]P137(a1)
% 206.97/207.87 [3229]P137(a100)
% 206.97/207.87 [3230]P136(a915)
% 206.97/207.87 [3231]P136(a1)
% 206.97/207.87 [3232]P136(a100)
% 206.97/207.87 [3233]P130(a915)
% 206.97/207.87 [3234]P130(a1)
% 206.97/207.87 [3235]P130(a100)
% 206.97/207.87 [3236]P124(a915)
% 206.97/207.87 [3237]P124(a1)
% 206.97/207.87 [3238]P124(a100)
% 206.97/207.87 [3239]P131(a915)
% 206.97/207.87 [3240]P131(a1)
% 206.97/207.87 [3241]P131(a100)
% 206.97/207.87 [3242]P132(a1)
% 206.97/207.87 [3243]P133(a1)
% 206.97/207.87 [3244]P103(a915)
% 206.97/207.87 [3245]P103(a1)
% 206.97/207.87 [3246]P103(a100)
% 206.97/207.87 [3247]P146(a915)
% 206.97/207.87 [3248]P146(a1)
% 206.97/207.87 [3249]P146(a100)
% 206.97/207.87 [3250]P92(a1)
% 206.97/207.87 [3251]P58(a915)
% 206.97/207.87 [3252]P58(a1)
% 206.97/207.87 [3253]P58(a100)
% 206.97/207.87 [3254]P59(a1)
% 206.97/207.87 [3255]P89(a1)
% 206.97/207.87 [3256]P84(a1)
% 206.97/207.87 [3257]P138(a1)
% 206.97/207.87 [3258]P73(a1)
% 206.97/207.87 [3259]P77(a915)
% 206.97/207.87 [3260]P77(a1)
% 206.97/207.87 [3261]P77(a100)
% 206.97/207.87 [3262]P93(a1)
% 206.97/207.87 [3263]P94(a915)
% 206.97/207.87 [3264]P94(a1)
% 206.97/207.87 [3265]P94(a100)
% 206.97/207.87 [3266]P117(a915)
% 206.97/207.87 [3267]P90(a915)
% 206.97/207.87 [3268]P90(a1)
% 206.97/207.87 [3269]P90(a100)
% 206.97/207.87 [3270]P60(a910)
% 206.97/207.87 [3271]P60(a914)
% 206.97/207.87 [3272]P105(a910)
% 206.97/207.87 [3273]P105(a911)
% 206.97/207.87 [3274]P105(a915)
% 206.97/207.87 [3275]P105(a914)
% 206.97/207.87 [3276]P105(a912)
% 206.97/207.87 [3277]P105(a100)
% 206.97/207.87 [3278]P105(a323)
% 206.97/207.87 [3279]P104(a914)
% 206.97/207.87 [3280]P104(a1)
% 206.97/207.87 [3281]P121(a915)
% 206.97/207.87 [3282]P121(a1)
% 206.97/207.87 [3283]P121(a100)
% 206.97/207.87 [3284]P118(a1)
% 206.97/207.87 [3285]P99(a910)
% 206.97/207.87 [3301]P35(a915,a240)
% 206.97/207.87 [3302]P35(a915,a317)
% 206.97/207.87 [3303]P36(a915,a240)
% 206.97/207.87 [4646]~E(a98,a83)
% 206.97/207.87 [4647]~P1(a239)
% 206.97/207.87 [3093]E(f2(a1),a83)
% 206.97/207.87 [3094]E(f101(a100),a3)
% 206.97/207.87 [3095]E(f23(a100),a24)
% 206.97/207.87 [3286]E(f189(a915),f102(a915))
% 206.97/207.87 [3287]E(f238(a915),f103(a915))
% 206.97/207.87 [3288]E(f190(a915),f2(a915))
% 206.97/207.87 [3289]E(f28(a25),f2(a915))
% 206.97/207.87 [3290]E(f104(a1),f31(a1))
% 206.97/207.87 [3291]E(f84(a239),f2(a915))
% 206.97/207.87 [3292]E(f84(a188),f2(a915))
% 206.97/207.87 [3293]P4(f78(a1))
% 206.97/207.87 [3294]P4(f2(a1))
% 206.97/207.87 [3350]P35(f921(a915,a915),a32)
% 206.97/207.87 [3696]E(f320(a915,a915,a240,a240),a32)
% 206.97/207.87 [4648]~E(f78(a1),f2(a1))
% 206.97/207.87 [3295]E(f4(f2(a100)),f2(a915))
% 206.97/207.87 [3296]E(f112(f2(a915)),f2(a915))
% 206.97/207.87 [3305]E(f327(f79(a1),a83),a83)
% 206.97/207.87 [3308]E(f327(a113,f2(a915)),f78(a915))
% 206.97/207.87 [3309]E(f327(a106,f78(a1)),f78(a915))
% 206.97/207.87 [3310]E(f327(a3,f78(a915)),f78(a100))
% 206.97/207.87 [3312]E(f327(a3,f2(a915)),f2(a100))
% 206.97/207.87 [3314]E(f327(f105(a1),a83),f2(a1))
% 206.97/207.87 [3315]E(f327(f105(a100),a83),f2(a100))
% 206.97/207.87 [3316]E(f327(a106,f2(a1)),f2(a915))
% 206.97/207.87 [3317]E(f327(f191(a910),a239),f2(a915))
% 206.97/207.87 [3318]E(f327(f191(a910),a188),f2(a915))
% 206.97/207.87 [3319]E(f327(f191(a912),a25),f2(a915))
% 206.97/207.87 [3320]E(f327(f105(a915),a83),f2(a915))
% 206.97/207.87 [3326]E(f327(f79(a1),f78(a1)),a98)
% 206.97/207.87 [3333]E(f327(f79(a1),f2(a1)),f2(a1))
% 206.97/207.87 [3335]E(f327(f191(a100),f2(a100)),f2(a915))
% 206.97/207.87 [3336]E(f327(f101(a1),f78(a915)),f78(a1))
% 206.97/207.87 [3337]E(f327(f101(a1),f2(a915)),f2(a1))
% 206.97/207.87 [3347]E(f327(a106,f78(a1)),f327(a113,f2(a915)))
% 206.97/207.87 [3348]E(f318(f921(a915,a915),a32),a33)
% 206.97/207.87 [3349]E(f319(f921(a915,a915),a32),a34)
% 206.97/207.87 [3351]P1(f327(f35(a908),a923))
% 206.97/207.87 [3377]E(f327(f282(a915),f2(a915)),f190(f922(a915,a910)))
% 206.97/207.87 [3378]E(f327(f283(a915),f2(a915)),f242(f922(a915,a910)))
% 206.97/207.87 [3386]P38(f190(f922(a1,a910)))
% 206.97/207.87 [3420]E(f327(f327(f23(a100),f2(a100)),f78(a100)),f2(a100))
% 206.97/207.87 [3495]P1(f327(f327(f235(a1),a98),f2(a1)))
% 206.97/207.87 [3519]P1(f327(f327(f234(a1),f2(a1)),f78(a1)))
% 206.97/207.87 [3521]P1(f327(f327(f235(a1),f2(a1)),f78(a1)))
% 206.97/207.87 [3727]E(f327(f327(f289(a915,a915,a915),a317),f307(a915,a317)),a240)
% 206.97/207.87 [3766]P39(a1,a915,a106,f327(f234(a1),f2(a1)))
% 206.97/207.87 [3770]E(f327(f327(f40(a915,f922(a915,a910)),f242(f922(a915,a910))),f282(a915)),f242(f922(a915,a910)))
% 206.97/207.87 [3771]E(f327(f327(f40(a915,f922(a915,a910)),f242(f922(a915,a910))),f283(a915)),f242(f922(a915,a910)))
% 206.97/207.87 [3772]E(f327(f327(f40(a915,f922(a915,a910)),f242(f922(a915,a910))),f301(a915)),f242(f922(a915,a910)))
% 206.97/207.87 [3773]E(f327(f327(f41(a915,f922(a915,a910)),f242(f922(a915,a910))),f304(a915)),f190(f922(a915,a910)))
% 206.97/207.87 [3789]P23(a915,a1,f101(a1),f242(f922(a915,a910)))
% 206.97/207.87 [3803]P39(a915,a1,f101(a1),f327(f16(a910,a915),a188))
% 206.97/207.87 [3940]E(f327(f72(a915,a100,a1,a3),a106),f105(a100))
% 206.97/207.87 [4163]P54(a100,a915,a20,a3,f242(f922(a915,a910)))
% 206.97/207.87 [4170]P54(a1,f922(f921(a915,a915),a910),a108,a89,a99)
% 206.97/207.87 [4424]E(f258(a1,a1,a1,a1,f31(a1),f79(a1)),a52)
% 206.97/207.87 [4663]~E(f327(f105(a1),a98),f327(f105(a1),a83))
% 206.97/207.87 [4664]~P1(f327(a195,f78(a1)))
% 206.97/207.87 [4665]~P1(f327(a195,f2(a1)))
% 206.97/207.87 [4703]~P1(f327(f327(f235(a1),a83),f2(a1)))
% 206.97/207.87 [3369]E(f327(f327(f23(a1),a98),a98),a83)
% 206.97/207.87 [3384]E(f327(f101(a1),f327(a113,f2(a915))),f78(a1))
% 206.97/207.87 [3449]E(f327(f36(a914),f242(f922(a914,a910))),f78(a915))
% 206.97/207.87 [3469]P1(f327(a195,f327(f105(a1),a98)))
% 206.97/207.87 [3471]P1(f327(f327(f234(a1),a98),a83))
% 206.97/207.87 [3473]P1(f327(f327(f235(a1),a98),a83))
% 206.97/207.87 [3530]E(f327(f327(f309(a915),f2(a915)),f190(f922(a915,a910))),f327(f301(a915),f2(a915)))
% 206.97/207.87 [3585]P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),a83)))
% 206.97/207.87 [3597]E(f327(f310(a915,a915,a113),f242(f922(a915,a910))),f327(f304(a915),f2(a915)))
% 206.97/207.87 [3634]P6(f921(a915,a915),f242(f922(f921(a915,a915),a910)),a110)
% 206.97/207.87 [3947]E(f327(f72(a915,a1,a100,f101(a1)),a20),a22)
% 206.97/207.87 [4008]P35(a915,f327(f262(f921(a915,a915)),f327(f257(a915,a915,a910),f235(a915))))
% 206.97/207.87 [4693]~P1(f327(a195,f327(f105(a1),a83)))
% 206.97/207.87 [4694]~P1(f327(f327(f329(a908),a930),a923))
% 206.97/207.87 [4695]~P1(f327(f327(f234(a1),a83),a98))
% 206.97/207.87 [4696]~P1(f327(f327(f235(a1),a83),a83))
% 206.97/207.87 [4697]~P1(f327(f327(f235(a1),a83),a98))
% 206.97/207.87 [4698]~P1(f327(f327(f235(a1),a98),a98))
% 206.97/207.87 [4709]~P1(f327(f35(a915),f242(f922(a915,a910))))
% 206.97/207.87 [4710]~P1(f327(f35(a1),f242(f922(a1,a910))))
% 206.97/207.87 [4590]E(f327(f257(a1,a1,a910),f327(f327(f8(f922(a1,a910),f922(a1,a910),a1),f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f235(a1),f2(a1))))),f327(f327(f7(a1,a1,f922(a1,a910)),f327(f327(f8(f922(a1,f922(a1,a910)),f922(a1,f922(a1,a910)),a1),f7(a1,a1,a910)),f327(f327(f8(f922(a1,a1),f922(a1,f922(a1,a910)),a1),f327(f8(a1,f922(a1,a910),a1),a324)),a219))),f78(a1)))),a215)
% 206.97/207.87 [4622]P22(a909,a924,f327(f310(a908,f913(a909),f327(f327(f18(a908,f922(a909,f922(a911,a910)),f913(a909)),f327(f327(f18(a908,a912,f922(f922(a909,f922(a911,a910)),f913(a909))),f327(f327(f8(f922(a909,f922(a911,a910)),f922(a912,f922(f922(a909,f922(a911,a910)),f913(a909))),a908),f91(a909)),a925)),a927)),a928)),f327(f327(f309(a908),a930),a923)))
% 206.97/207.87 [4736]~P22(a909,a924,f327(f310(a908,f913(a909),f327(f327(f18(a908,f922(a909,f922(a911,a910)),f913(a909)),f327(f327(f18(a908,a912,f922(f922(a909,f922(a911,a910)),f913(a909))),f327(f327(f8(f922(a909,f922(a911,a910)),f922(a912,f922(f922(a909,f922(a911,a910)),f913(a909))),a908),f91(a909)),a926)),a927)),a929)),f327(f327(f309(a908),a930),a923)))
% 206.97/207.87 [3671]E(f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98),f327(f79(a1),a98))
% 206.97/207.87 [3709]E(f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98),f327(f327(f23(a1),a83),a98))
% 206.97/207.87 [3873]E(f327(f327(f61(f921(a915,a915)),f242(f922(f921(a915,a915),a910))),a110),a99)
% 206.97/207.87 [3902]E(f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f78(a1))
% 206.97/207.87 [3903]E(f327(f105(a100),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f78(a100))
% 206.97/207.87 [3904]E(f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f78(a915))
% 206.97/207.87 [3908]E(f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(a113,f2(a915)))
% 206.97/207.87 [4292]E(f327(f327(f102(f922(f921(f921(a915,a915),f921(a915,a915)),a910)),a32),f307(f921(a915,a915),f190(f922(f921(f921(a915,a915),f921(a915,a915)),a910)))),a70)
% 206.97/207.87 [4358]E(f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),f78(a915)),f2(a915))),f190(f922(f921(a915,a915),a910))))),f78(a1))
% 206.97/207.87 [4359]E(f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),f2(a915)),f2(a915))),f190(f922(f921(a915,a915),a910))))),f2(a1))
% 206.97/207.87 [4372]E(f327(f262(f921(a915,a915)),f327(f257(a915,a915,a910),f327(f327(f8(a915,f922(a915,a910),a915),f327(f7(a915,a915,a910),a324)),a113))),a317)
% 206.97/207.87 [4344]E(f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),f327(a113,f327(a113,f2(a915))))
% 206.97/207.87 [4347]E(f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),f327(f327(f80(a915),f78(a915)),f78(a915)))
% 206.97/207.87 [4348]E(f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),f327(f36(a910),f242(f922(a910,a910))))
% 206.97/207.87 [4411]P4(f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))
% 206.97/207.87 [4480]P25(f922(f921(a915,a915),a910),f327(f327(f252(f922(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),a910),f922(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),a910)),a33),a71))
% 206.97/207.87 [4481]P25(f922(f921(a915,a915),a910),f327(f327(f252(f922(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),a910),f922(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),a910)),a34),a69))
% 206.97/207.87 [4521]E(f327(f327(f102(f922(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),a910)),f319(f921(a915,a915),a70)),f327(f327(f309(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),f190(f922(f921(a915,a915),a910))),f190(f922(f921(a915,a915),a910)))),f190(f922(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),a910)))),a69)
% 206.97/207.87 [4522]E(f327(f327(f102(f922(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),a910)),f318(f921(a915,a915),a70)),f327(f327(f309(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),f190(f922(f921(a915,a915),a910))),f190(f922(f921(a915,a915),a910)))),f190(f922(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),a910)))),a71)
% 206.97/207.87 [4413]E(f327(a106,f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(a113,f327(a113,f2(a915))))
% 206.97/207.87 [4458]E(f327(f101(a1),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))
% 206.97/207.87 [4491]P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 206.97/207.87 [4492]E(f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98)),f327(a113,f327(a113,f327(a113,f2(a915)))))
% 206.97/207.87 [4536]P4(f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98)))
% 206.97/207.87 [4562]E(f327(f101(a1),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98))),f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98)))
% 206.97/207.87 [4575]P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98))))
% 206.97/207.87 [3304]P5(x33041,a324)
% 206.97/207.87 [3697]P23(a915,a915,a113,x36971)
% 206.97/207.87 [3297]P105(f913(x32971))
% 206.97/207.87 [3298]P105(f918(x32981))
% 206.97/207.87 [3299]P105(f916(x32991))
% 206.97/207.87 [3300]P105(f917(x33001))
% 206.97/207.87 [3321]P35(a1,f107(x33211))
% 206.97/207.87 [3322]P35(a1,f109(x33221))
% 206.97/207.87 [3373]P35(f922(x33731,a910),f314(x33731))
% 206.97/207.87 [3374]P36(f922(x33741,a910),f314(x33741))
% 206.97/207.87 [3398]E(f243(x33981,x33981,a324),a324)
% 206.97/207.87 [3413]E(f46(a1,x34131,x34131),f2(a1))
% 206.97/207.87 [3466]P12(x34661,f922(x34661,a910),f309(x34661))
% 206.97/207.87 [4650]~E(f327(a113,x46501),x46501)
% 206.97/207.87 [4660]~E(f327(a113,x46601),f2(a915))
% 206.97/207.87 [3306]E(f327(f191(a915),x33061),x33061)
% 206.97/207.87 [3307]E(f327(f105(a1),x33071),x33071)
% 206.97/207.87 [3323]E(f327(a89,f328(x33231)),x33231)
% 206.97/207.87 [3324]E(f327(a3,f572(x33241)),x33241)
% 206.97/207.87 [3325]E(f241(x33251,f2(a100)),f2(a100))
% 206.97/207.87 [3338]E(f115(x33381,f114(x33381)),f114(x33381))
% 206.97/207.87 [3339]E(f153(x33391,f114(x33391)),f114(x33391))
% 206.97/207.87 [3344]E(f327(f168(x33441),f114(x33441)),f114(x33441))
% 206.97/207.87 [3345]E(f327(f172(x33451),f114(x33451)),f114(x33451))
% 206.97/207.87 [3346]E(f327(f169(x33461),f114(x33461)),f114(x33461))
% 206.97/207.87 [3352]E(f327(f105(a1),x33521),f327(f104(a1),x33521))
% 206.97/207.87 [3353]E(f327(a89,f327(a108,x33531)),x33531)
% 206.97/207.87 [3355]E(f327(a3,f327(a20,x33551)),x33551)
% 206.97/207.87 [3356]E(f327(a20,f327(a3,x33561)),x33561)
% 206.97/207.87 [3358]P4(f327(f101(a1),x33581))
% 206.97/207.87 [3367]E(f327(f191(f916(x33671)),f114(x33671)),f2(a915))
% 206.97/207.87 [3368]E(f327(f191(f917(x33681)),f120(x33681)),f2(a915))
% 206.97/207.87 [3389]E(f327(f327(f23(a915),x33891),f2(a915)),x33891)
% 206.97/207.87 [3390]E(f327(f327(f80(a915),x33901),f2(a915)),x33901)
% 206.97/207.87 [3391]E(f327(f327(f80(a1),x33911),f2(a1)),x33911)
% 206.97/207.87 [3392]E(f327(f327(f81(a915),x33921),f78(a915)),x33921)
% 206.97/207.87 [3393]E(f327(f327(f81(a1),x33931),f78(a1)),x33931)
% 206.97/207.87 [3394]E(f327(f327(f189(a915),x33941),f2(a915)),x33941)
% 206.97/207.87 [3395]E(f327(f327(f81(a915),x33951),f2(a915)),f2(a915))
% 206.97/207.87 [3396]E(f327(f327(f238(a915),x33961),f2(a915)),f2(a915))
% 206.97/207.87 [3397]E(f327(f327(f37(a1),x33971),f2(a1)),f2(a1))
% 206.97/207.87 [3404]E(f327(f173(x34041),f114(x34041)),f190(f922(x34041,a910)))
% 206.97/207.87 [3408]P1(f327(f138(x34081),f114(x34081)))
% 206.97/207.87 [3414]E(f327(f155(x34141,x34141),f5(x34141)),f31(f916(x34141)))
% 206.97/207.87 [3415]E(f327(f155(x34151,x34151),f31(x34151)),f31(f916(x34151)))
% 206.97/207.87 [3416]E(f46(a1,x34161,f2(a1)),x34161)
% 206.97/207.87 [3417]E(f327(f234(a915),f327(a113,x34171)),f327(f235(a915),x34171))
% 206.97/207.87 [3418]E(f327(f282(a915),f327(a113,x34181)),f327(f301(a915),x34181))
% 206.97/207.87 [3419]E(f327(f283(a915),f327(a113,x34191)),f327(f304(a915),x34191))
% 206.97/207.87 [3421]E(f46(a1,f2(a1),x34211),f2(a1))
% 206.97/207.87 [3434]E(f327(f327(f80(a915),x34341),f78(a915)),f327(a113,x34341))
% 206.97/207.87 [3443]E(f327(f302(a915,x34431),f2(a915)),f190(f922(a915,a910)))
% 206.97/207.87 [3455]E(f303(a915,f2(a915),x34551),f327(f301(a915),x34551))
% 206.97/207.87 [3498]E(f327(f327(f23(a915),f327(a113,x34981)),f78(a915)),x34981)
% 206.97/207.87 [3510]E(f48(f2(a1),x35101),f327(f327(f252(a1,a1),f2(a1)),f2(a1)))
% 206.97/207.87 [3560]P1(f327(f327(f235(a915),x35601),f327(a113,x35601)))
% 206.97/207.87 [3572]P1(f327(f327(f235(a915),f2(a915)),f327(a113,x35721)))
% 206.97/207.87 [3802]E(f92(x38021,x38021,f242(f922(x38021,a910)),f31(x38021)),f31(x38021))
% 206.97/207.87 [3860]E(f327(f327(f23(a100),f327(a3,f327(a113,f327(a20,x38601)))),f78(a100)),x38601)
% 206.97/207.87 [3931]P1(f327(f327(f234(a1),f327(f79(a1),f327(f101(a1),x39311))),f2(a1)))
% 206.97/207.87 [4078]P1(f327(f327(f235(a1),f327(f79(a1),f327(f101(a1),f327(a113,x40781)))),f2(a1)))
% 206.97/207.87 [4670]~E(f242(f922(x46701,a910)),f190(f922(x46701,a910)))
% 206.97/207.87 [4706]~P1(f327(f327(f235(a915),x47061),f2(a915)))
% 206.97/207.87 [4719]~P1(f327(f327(f235(a1),f327(f101(a1),x47191)),f2(a1)))
% 206.97/207.87 [3357]E(f121(x33571,f120(f917(x33571))),f120(x33571))
% 206.97/207.87 [3372]E(f180(x33721,f114(f916(x33721))),f114(f916(x33721)))
% 206.97/207.87 [3375]E(f327(f327(f81(a1),a83),x33751),a83)
% 206.97/207.87 [3376]E(f327(f327(f80(a1),a83),x33761),x33761)
% 206.97/207.87 [3379]E(f327(a106,f327(f101(a1),x33791)),x33791)
% 206.97/207.87 [3380]E(f327(f327(f23(a1),x33801),a83),x33801)
% 206.97/207.87 [3381]E(f327(f327(f80(a1),x33811),a83),x33811)
% 206.97/207.87 [3383]E(f327(f327(f23(a915),x33831),x33831),f2(a915))
% 206.97/207.87 [3387]E(f327(f79(a1),f327(f79(a1),x33871)),x33871)
% 206.97/207.87 [3388]E(f327(f36(a915),f327(f282(a915),x33881)),x33881)
% 206.97/207.87 [3399]E(f327(f327(f80(a915),f2(a915)),x33991),x33991)
% 206.97/207.87 [3400]E(f327(f327(f80(a1),f2(a1)),x34001),x34001)
% 206.97/207.87 [3401]E(f327(f327(f81(a915),f78(a915)),x34011),x34011)
% 206.97/207.87 [3402]E(f327(f327(f81(a1),f78(a1)),x34021),x34021)
% 206.97/207.87 [3403]E(f327(f327(f189(a915),f2(a915)),x34031),x34031)
% 206.97/207.87 [3409]E(f327(f327(f23(a915),f2(a915)),x34091),f2(a915))
% 206.97/207.87 [3410]E(f327(f327(f81(a915),f2(a915)),x34101),f2(a915))
% 206.97/207.87 [3411]E(f327(f327(f238(a915),f2(a915)),x34111),f2(a915))
% 206.97/207.87 [3412]E(f327(f327(f37(a1),f2(a1)),x34121),f2(a1))
% 206.97/207.87 [3422]E(f129(x34221,f327(f79(a1),x34221)),f133(a1,x34221))
% 206.97/207.87 [3427]E(f327(f302(a915,f2(a915)),x34271),f327(f282(a915),x34271))
% 206.97/207.87 [3428]E(f327(f327(f81(a1),a98),x34281),f327(f79(a1),x34281))
% 206.97/207.87 [3436]E(f327(a106,f327(f105(a1),x34361)),f327(f105(a915),x34361))
% 206.97/207.87 [3437]E(f327(a20,f327(f105(a100),x34371)),f327(f105(a915),x34371))
% 206.97/207.87 [3438]E(f327(f36(a915),f327(f301(a915),x34381)),f327(a113,x34381))
% 206.97/207.87 [3447]E(f327(f327(f80(a915),f78(a915)),x34471),f327(a113,x34471))
% 206.97/207.87 [3451]E(f327(f104(a1),f327(f101(a1),x34511)),f327(f101(a1),x34511))
% 206.97/207.87 [3452]E(f327(f75(a1),f327(f101(a1),x34521)),f327(f101(a1),x34521))
% 206.97/207.87 [3456]E(f327(f36(x34561),f190(f922(x34561,a910))),f2(a915))
% 206.97/207.87 [3458]E(f327(f327(f37(a915),x34581),f327(a113,f2(a915))),x34581)
% 206.97/207.87 [3467]E(f46(a915,x34671,f327(a113,f2(a915))),f2(a915))
% 206.97/207.87 [3468]E(f46(a1,x34681,f327(f105(a1),a98)),f2(a1))
% 206.97/207.87 [3482]E(f327(f327(f37(a1),x34821),f327(f105(a1),a98)),f327(f79(a1),x34821))
% 206.97/207.87 [3486]E(f140(a915,f327(f302(a915,x34861),f2(a915))),f114(a915))
% 206.97/207.87 [3487]E(f327(f327(f80(a1),x34871),f78(a1)),f327(f327(f23(a1),x34871),a98))
% 206.97/207.87 [3488]E(f327(f327(f23(a1),x34881),f78(a1)),f327(f327(f80(a1),x34881),a98))
% 206.97/207.87 [3492]P1(f327(f327(f234(a915),x34921),x34921))
% 206.97/207.87 [3493]P1(f327(f327(f234(a1),x34931),x34931))
% 206.97/207.87 [3494]P1(f327(f327(f287(a915),x34941),x34941))
% 206.97/207.87 [3499]E(f327(f79(a1),f327(f105(a1),x34991)),f327(f105(a1),f327(f79(a1),x34991)))
% 206.97/207.87 [3500]P1(f327(f35(a915),f327(f282(a915),x35001)))
% 206.97/207.87 [3501]P1(f327(f35(a915),f327(f301(a915),x35011)))
% 206.97/207.87 [3508]E(f162(x35081,f242(f922(x35081,a910))),f242(f922(f916(x35081),a910)))
% 206.97/207.87 [3513]P1(f327(f327(f234(a915),f2(a915)),x35131))
% 206.97/207.87 [3523]E(f327(f327(f80(a915),f112(x35231)),f327(a113,f2(a915))),f112(f327(a113,x35231)))
% 206.97/207.87 [3524]E(f327(f262(x35241),f327(f16(a910,x35241),a239)),f190(f922(x35241,a910)))
% 206.97/207.87 [3525]E(f327(f262(x35251),f327(f16(a910,x35251),a188)),f242(f922(x35251,a910)))
% 206.97/207.87 [3529]E(f327(f327(f309(a915),x35291),f327(f282(a915),x35291)),f327(f282(a915),f327(a113,x35291)))
% 206.97/207.87 [3541]E(f327(f327(f80(a1),f78(a1)),f327(f101(a1),x35411)),f327(f101(a1),f327(a113,x35411)))
% 206.97/207.87 [3543]E(f327(f327(f152(f916(x35431)),f114(x35431)),f114(f916(x35431))),f55(x35431,f114(x35431)))
% 206.97/207.87 [3563]E(f190(f922(f921(x35631,x35631),a910)),f263(x35631,f190(f922(x35631,a910))))
% 206.97/207.87 [3564]E(f327(f308(x35641),f242(f922(x35641,a910))),f242(f922(f922(x35641,a910),a910)))
% 206.97/207.87 [3565]E(f327(f79(f922(x35651,a910)),f190(f922(x35651,a910))),f242(f922(x35651,a910)))
% 206.97/207.87 [3566]E(f327(f79(f922(x35661,a910)),f242(f922(x35661,a910))),f190(f922(x35661,a910)))
% 206.97/207.87 [3568]P1(f327(f35(x35681),f190(f922(x35681,a910))))
% 206.97/207.87 [3570]E(f327(f302(a915,x35701),f327(a113,x35701)),f327(f327(f309(a915),x35701),f190(f922(a915,a910))))
% 206.97/207.87 [3571]E(f85(f921(a915,a915),f49(x35711,f2(a915))),f327(f327(f252(a915,a915),f2(a915)),x35711))
% 206.97/207.87 [3584]E(f327(f327(f309(a915),f327(a113,x35841)),f327(f301(a915),x35841)),f327(f301(a915),f327(a113,x35841)))
% 206.97/207.87 [3588]P35(x35881,f190(f922(f921(x35881,x35881),a910)))
% 206.97/207.87 [3589]P37(x35891,f190(f922(f921(x35891,x35891),a910)))
% 206.97/207.87 [3592]P1(f327(f327(f234(a1),f2(a1)),f327(f101(a1),x35921)))
% 206.97/207.87 [3599]E(f327(f327(f80(a915),f327(f191(a915),x35991)),f327(a113,f2(a915))),f327(f191(a915),f327(a113,x35991)))
% 206.97/207.87 [3704]P38(f327(f310(a915,a1,f101(a1)),x37041))
% 206.97/207.87 [3742]P50(x37421,f190(f922(x37421,a910)),f190(f922(f921(x37421,x37421),a910)))
% 206.97/207.87 [3762]E(f327(f327(f252(a1,a1),f327(f105(a1),a98)),f327(f327(f23(a1),x37621),f78(a1))),f51(f327(f105(a1),a98),x37621))
% 206.97/207.87 [3815]P57(x38151,f327(f16(f922(x38151,a910),x38151),f327(f16(a910,x38151),a239)))
% 206.97/207.87 [3827]E(f290(a915,f287(a915),x38271,x38271),f327(f327(f309(a915),x38271),f190(f922(a915,a910))))
% 206.97/207.87 [4020]P1(f327(f327(f329(f922(f921(a915,a915),a910)),f328(x40201)),a99))
% 206.97/207.87 [4046]P1(f327(f327(f329(f922(f921(a915,a915),a910)),f327(a108,x40461)),a99))
% 206.97/207.87 [4179]P23(x41791,f922(x41791,a910),f327(f327(f7(x41791,f922(x41791,a910),f922(x41791,a910)),f309(x41791)),f190(f922(x41791,a910))),f242(f922(x41791,a910)))
% 206.97/207.87 [4667]~E(f327(f327(f80(a1),x46671),x46671),a98)
% 206.97/207.87 [4692]~E(f327(a3,f327(a113,f327(a20,x46921))),f2(a100))
% 206.97/207.87 [4699]~P1(f327(a195,f327(f101(a1),x46991)))
% 206.97/207.87 [4702]~P1(f327(f327(f235(a915),x47021),x47021))
% 206.97/207.87 [4712]~P1(f327(f327(f234(a915),f327(a113,x47121)),x47121))
% 206.97/207.87 [3515]E(f327(a106,f327(f79(a1),f327(f101(a1),x35151))),f2(a915))
% 206.97/207.87 [3518]E(f327(f327(f80(a1),f327(f79(a1),x35181)),x35181),f2(a1))
% 206.97/207.87 [3522]E(f327(f36(a1),f327(f302(a1,f2(a1)),x35221)),f327(a106,x35221))
% 206.97/207.87 [3534]E(f327(f327(f244(a915),f327(a113,f2(a915))),x35341),f327(a113,f2(a915)))
% 206.97/207.87 [3631]E(f327(f281(x36311),f190(f922(f921(x36311,x36311),a910))),f190(f922(x36311,a910)))
% 206.97/207.87 [3639]E(f39(f922(x36391,a910),f190(f922(f922(x36391,a910),a910))),f242(f922(x36391,a910)))
% 206.97/207.87 [3640]E(f39(f922(x36401,a910),f242(f922(f922(x36401,a910),a910))),f190(f922(x36401,a910)))
% 206.97/207.87 [3641]E(f38(f922(x36411,a910),f190(f922(f922(x36411,a910),a910))),f190(f922(x36411,a910)))
% 206.97/207.87 [3642]E(f38(f922(x36421,a910),f242(f922(f922(x36421,a910),a910))),f242(f922(x36421,a910)))
% 206.97/207.87 [3646]P1(f327(f327(f287(a915),f327(a113,f2(a915))),x36461))
% 206.97/207.87 [3687]E(f327(f327(f309(f916(x36871)),f114(x36871)),f190(f922(f916(x36871),a910))),f162(x36871,f190(f922(x36871,a910))))
% 206.97/207.87 [3688]E(f327(f327(f309(f916(x36881)),f114(x36881)),f190(f922(f916(x36881),a910))),f163(x36881,f114(f922(x36881,a910))))
% 206.97/207.87 [3726]E(f327(f327(f80(a915),f4(x37261)),f327(a113,f2(a915))),f4(f327(a3,f327(a113,f327(a20,x37261)))))
% 206.97/207.87 [3753]E(f327(f36(a1),f327(f310(a915,a1,f101(a1)),x37531)),f327(f36(a915),x37531))
% 206.97/207.87 [3756]P1(f327(f327(f234(a915),x37561),f327(f327(f81(a915),x37561),x37561)))
% 206.97/207.87 [3793]E(f327(f310(a1,a915,a106),f303(a1,f2(a1),f327(f101(a1),x37931))),f327(f301(a915),x37931))
% 206.97/207.87 [3810]E(f327(f327(f37(a915),f327(a113,f2(a915))),f327(f105(a915),x38101)),f327(a106,f327(f327(f37(a1),f78(a1)),f327(f105(a1),x38101))))
% 206.97/207.87 [3812]E(f327(f173(a915),f140(a915,f327(f302(a915,f2(a915)),f327(a113,x38121)))),f327(f301(a915),x38121))
% 206.97/207.87 [3813]E(f327(f327(f80(a915),f327(f191(a100),x38131)),f327(a113,f2(a915))),f327(f191(a100),f327(a3,f327(a113,f327(a20,x38131)))))
% 206.97/207.87 [3833]P37(x38331,f307(x38331,f190(f922(f921(x38331,x38331),a910))))
% 206.97/207.87 [3834]P49(x38341,f307(x38341,f190(f922(f921(x38341,x38341),a910))))
% 206.97/207.87 [3835]E(f327(f310(a1,a915,a106),f327(f310(a915,a1,f101(a1)),x38351)),x38351)
% 206.97/207.87 [3866]E(f327(f327(f309(a915),f2(a915)),f327(f310(a915,a915,a113),f327(f282(a915),x38661))),f327(f282(a915),f327(a113,x38661)))
% 206.97/207.87 [3872]P52(x38721,x38721,f307(x38721,f190(f922(f921(x38721,x38721),a910))))
% 206.97/207.87 [3878]P1(f327(a195,f327(f79(a1),f327(f101(a1),f327(a113,x38781)))))
% 206.97/207.87 [3888]E(f327(f327(f23(f922(a915,a910)),f327(f283(a915),x38881)),f327(f327(f309(a915),x38881),f190(f922(a915,a910)))),f327(f283(a915),f327(a113,x38881)))
% 206.97/207.87 [3905]E(f327(f327(f80(a1),f327(f327(f23(a1),a83),x39051)),f327(f327(f23(a1),a83),x39051)),f327(f327(f23(a1),a83),f327(f327(f80(a1),x39051),x39051)))
% 206.97/207.87 [3920]E(f327(f327(f309(f922(x39201,a910)),f190(f922(x39201,a910))),f190(f922(f922(x39201,a910),a910))),f327(f308(x39201),f190(f922(x39201,a910))))
% 206.97/207.87 [3948]E(f327(f327(f23(f922(a915,a910)),f327(f304(a915),x39481)),f327(f327(f309(a915),f327(a113,x39481)),f190(f922(a915,a910)))),f327(f304(a915),f327(a113,x39481)))
% 206.97/207.87 [4058]E(f327(f105(a915),f327(f327(f80(a1),x40581),x40581)),f327(f327(f86(a915,a915),f327(f105(a915),x40581)),f327(f327(f18(a915,a915,a915),f80(a915)),f5(a915))))
% 206.97/207.87 [4433]P12(x44331,f922(x44331,a910),f327(f327(f8(f922(x44331,a910),f922(f922(x44331,a910),f922(x44331,a910)),x44331),f327(f7(f922(x44331,a910),f922(x44331,a910),f922(x44331,a910)),f23(f922(x44331,a910)))),f327(f327(f7(x44331,f922(x44331,a910),f922(x44331,a910)),f309(x44331)),f190(f922(x44331,a910)))))
% 206.97/207.87 [4520]E(f327(f262(f921(a1,a1)),f327(f257(a1,a1,a910),f327(f327(f8(f922(a1,a910),f922(a1,a910),a1),f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),x45201)))),f235(a1)))),f109(x45201))
% 206.97/207.87 [4553]E(f327(f262(f921(a1,a1)),f327(f257(a1,a1,a910),f327(f327(f18(a1,f922(a1,a910),f922(a1,a910)),f327(f327(f8(f922(a910,a910),f922(f922(a1,a910),f922(a1,a910)),a1),f8(a910,a910,a1)),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),x45531)))),f235(a1)))),f107(x45531))
% 206.97/207.87 [4606]E(f327(f262(f921(f922(x46061,a910),f922(x46061,a910))),f327(f257(f922(x46061,a910),f922(x46061,a910),a910),f327(f327(f7(f922(x46061,a910),f922(f922(x46061,a910),a910),f922(f922(x46061,a910),a910)),f327(f327(f8(f922(f922(x46061,a910),f922(a910,a910)),f922(f922(f922(x46061,a910),a910),f922(f922(x46061,a910),a910)),f922(x46061,a910)),f18(f922(x46061,a910),a910,a910)),f327(f327(f8(f922(f922(x46061,a910),a910),f922(f922(x46061,a910),f922(a910,a910)),f922(x46061,a910)),f327(f8(a910,f922(a910,a910),f922(x46061,a910)),a325)),f235(f922(x46061,a910))))),f35(x46061)))),f314(x46061))
% 206.97/207.87 [4716]~P1(f327(f35(f916(x47161)),f242(f922(f916(x47161),a910))))
% 206.97/207.87 [4728]~P1(f327(f327(f234(a1),f2(a1)),f327(f79(a1),f327(f101(a1),f327(a113,x47281)))))
% 206.97/207.87 [3666]E(f327(f327(f23(a1),f327(f327(f80(a1),x36661),a98)),a98),x36661)
% 206.97/207.87 [3680]E(f327(f173(a915),f140(a915,f327(f302(a915,f2(a915)),x36801))),f327(f282(a915),x36801))
% 206.97/207.87 [3927]E(f327(f327(f80(a1),f327(f327(f80(a1),f78(a1)),x39271)),x39271),f327(f327(f23(a1),f327(f327(f80(a1),x39271),x39271)),a98))
% 206.97/207.87 [3975]E(f327(f286(x39751,x39751),f307(x39751,f190(f922(f921(x39751,x39751),a910)))),f307(x39751,f190(f922(f921(x39751,x39751),a910))))
% 206.97/207.87 [4023]P1(f327(f327(f234(a915),x40231),f327(f327(f81(a915),x40231),f327(f327(f81(a915),x40231),x40231))))
% 206.97/207.87 [4296]P1(f327(f35(a915),f327(f262(a915),f327(f327(f7(a915,a915,a910),f234(a915)),x42961))))
% 206.97/207.87 [4297]P1(f327(f35(a915),f327(f262(a915),f327(f327(f7(a915,a915,a910),f235(a915)),x42971))))
% 206.97/207.87 [4569]E(f327(f262(f921(x45691,x45691)),f327(f327(f8(f922(x45691,a910),a910,f921(x45691,x45691)),f87(x45691)),f327(f327(f7(f921(x45691,x45691),f922(x45691,f921(x45691,x45691)),f922(x45691,a910)),f327(f327(f8(f922(f921(x45691,x45691),a910),f922(f922(x45691,f921(x45691,x45691)),f922(x45691,a910)),f921(x45691,x45691)),f8(f921(x45691,x45691),a910,x45691)),a324)),f327(f327(f18(x45691,x45691,f921(x45691,x45691)),f252(x45691,x45691)),f5(x45691))))),f307(x45691,f190(f922(f921(x45691,x45691),a910))))
% 206.97/207.87 [4718]~E(f327(f327(f23(a1),f327(f327(f80(a1),x47181),x47181)),a98),a83)
% 206.97/207.87 [4720]~E(f327(f327(f80(a1),f327(f327(f80(a1),f78(a1)),x47201)),x47201),f2(a1))
% 206.97/207.87 [4069]E(f327(f327(f80(a1),f327(f327(f23(a1),a98),x40691)),f327(f327(f23(a1),a98),x40691)),f327(f327(f23(a1),a98),f327(f327(f23(a1),f327(f327(f80(a1),x40691),x40691)),a98)))
% 206.97/207.87 [4187]E(f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),a98),x41871)),f327(f327(f23(a1),a98),x41871))),a98),f327(f327(f23(a1),a98),f327(f327(f80(a1),x41871),x41871)))
% 206.97/207.87 [4219]E(f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f80(a1),x42191),a98)),f327(f327(f80(a1),x42191),a98))),a98),f327(f327(f80(a1),f327(f327(f80(a1),x42191),x42191)),a98))
% 206.97/207.87 [4257]E(f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),a98),x42571)),f327(f327(f23(a1),a98),x42571))),a98),f327(f327(f23(a1),a83),f327(f327(f23(a1),f327(f327(f80(a1),x42571),x42571)),a98)))
% 206.97/207.87 [4354]E(f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x43541),f2(a915))),f190(f922(f921(a915,a915),a910))))),f327(f101(a1),x43541))
% 206.97/207.87 [4364]E(f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),f332(x43641)),f534(x43641))),f190(f922(f921(a915,a915),a910))))),x43641)
% 206.97/207.87 [4397]E(f327(f262(a1),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),x43971)),f327(f310(a915,a1,f101(a1)),f327(f262(a915),f327(f327(f8(a1,a910,a915),x43971),f101(a1)))))
% 206.97/207.87 [4441]P38(f327(f262(a1),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),x44411)))
% 206.97/207.87 [4461]P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),x44611),f190(f922(f921(a915,a915),a910)))),a71))
% 206.97/207.87 [4466]E(f327(f310(a1,a915,a106),f327(f262(a1),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),f327(f327(f8(a915,a910,a1),x44661),a106)))),f327(f262(a915),x44661))
% 206.97/207.87 [4621]E(f312(a915,f327(f327(f40(f921(a915,a915),f922(a915,a910)),f327(a108,x46211)),f327(f257(a915,a915,f922(a915,a910)),f327(f327(f7(a915,f922(a915,a910),f922(a915,f922(a915,a910))),f327(f327(f8(f922(a915,f922(f922(a915,a910),f922(a915,a910))),f922(f922(a915,a910),f922(a915,f922(a915,a910))),a915),f7(a915,f922(a915,a910),f922(a915,a910))),f327(f327(f8(f922(a915,a915),f922(a915,f922(f922(a915,a910),f922(a915,a910))),a915),f327(f8(a915,f922(f922(a915,a910),f922(a915,a910)),a915),f309(a915))),f23(a915)))),f190(f922(a915,a910)))))),f327(a106,x46211))
% 206.97/207.87 [4114]E(f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),x41141),x41141)),a98)),a98),f327(f327(f80(a1),x41141),x41141))
% 206.97/207.87 [4164]E(f327(f327(f23(a1),f327(f327(f23(a1),f327(f327(f80(a1),x41641),x41641)),a98)),a98),f327(f327(f80(a1),f327(f327(f23(a1),x41641),a98)),f327(f327(f23(a1),x41641),a98)))
% 206.97/207.87 [4370]E(f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f80(a1),f327(f79(a1),x43701)),a98)),f327(f327(f80(a1),f327(f79(a1),x43701)),a98))),a98),f327(f79(a1),f327(f327(f23(a1),f327(f327(f80(a1),x43701),x43701)),a98)))
% 206.97/207.87 [4414]E(f327(f327(f80(a915),x44141),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(a113,f327(a113,x44141)))
% 206.97/207.87 [4415]E(f327(f327(f81(a915),x44151),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f327(f80(a915),x44151),x44151))
% 206.97/207.87 [4416]E(f327(f327(f37(a915),f327(f327(f80(a915),x44161),x44161)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x44161)
% 206.97/207.87 [4494]E(f46(a915,f327(a113,f327(a113,x44941)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f46(a915,x44941,f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 206.97/207.87 [4637]E(f327(a89,f327(f327(f40(f921(a915,a915),f922(f921(a915,a915),a910)),f327(a108,x46371)),f327(f257(a915,a915,f922(f921(a915,a915),a910)),f327(f327(f8(f922(a915,f922(f921(a915,a915),a910)),f922(a915,f922(f921(a915,a915),a910)),a915),f327(f8(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910),a915),f285(f921(a915,a915),f921(a915,a915),a110))),f327(f327(f7(a915,f922(f921(a915,a915),a910),f922(a915,f922(f921(a915,a915),a910))),f327(f327(f8(f922(a915,f922(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f922(f922(f921(a915,a915),a910),f922(a915,f922(f921(a915,a915),a910))),a915),f7(a915,f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f8(f922(a915,f921(a915,a915)),f922(a915,f922(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),a915),f327(f8(f921(a915,a915),f922(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),a915),f309(f921(a915,a915)))),f327(f7(a915,a915,f921(a915,a915)),f252(a915,a915))))),f190(f922(f921(a915,a915),a910))))))),f327(f79(a1),x46371))
% 206.97/207.87 [4489]E(f327(f327(f80(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x44891),f327(a113,f327(a113,x44891)))
% 206.97/207.87 [4490]E(f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x44901),f327(f327(f80(a915),x44901),x44901))
% 206.97/207.87 [4526]E(f327(f327(f37(a915),f327(a113,f327(a113,x45261))),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(a113,f327(f327(f37(a915),x45261),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 206.97/207.87 [4576]E(f327(f327(f80(a915),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98))),x45761),f327(a113,f327(a113,f327(a113,x45761))))
% 206.97/207.87 [4644]E(f327(f257(a1,a1,f921(a1,a1)),f327(f327(f18(a1,f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),f327(f327(f8(f922(a1,f922(f921(a1,a1),f921(a1,a1))),f922(f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),a1),f18(a1,f921(a1,a1),f921(a1,a1))),f327(f327(f8(f922(a1,f921(a1,a1)),f922(a1,f922(f921(a1,a1),f921(a1,a1))),a1),f327(f18(a1,f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),f327(f327(f8(a910,f922(f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),a1),f97(f921(a1,a1))),f327(f327(f8(a1,a910,a1),f327(f234(a1),f2(a1))),f327(f327(f7(a1,a1,a1),f23(a1)),x46441))))),f327(f327(f7(a1,f922(a1,a1),f922(a1,f921(a1,a1))),f327(f327(f8(f922(a1,f921(a1,a1)),f922(f922(a1,a1),f922(a1,f921(a1,a1))),a1),f8(a1,f921(a1,a1),a1)),f327(f327(f8(a1,f922(a1,f921(a1,a1)),a1),f252(a1,a1)),f327(f327(f7(a1,a1,a1),f327(f327(f8(a1,f922(a1,a1),a1),f80(a1)),f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))),f78(a1))))),f327(f327(f7(a1,a1,a1),f23(a1)),x46441))))),f327(f327(f8(a1,f922(a1,f921(a1,a1)),a1),f252(a1,a1)),f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))),f44(x46441))
% 206.97/207.87 [3341]P105(f920(x33411,x33412))
% 206.97/207.87 [3342]P105(f921(x33421,x33422))
% 206.97/207.87 [3343]P105(f919(x33431,x33432))
% 206.97/207.87 [3361]P11(a1,f179(x33611,x33612))
% 206.97/207.87 [3362]P35(x33621,f154(x33621,x33622))
% 206.97/207.87 [3363]P36(x33631,f263(x33631,x33632))
% 206.97/207.87 [3364]P36(x33641,f307(x33641,x33642))
% 206.97/207.87 [3365]P37(x33651,f263(x33651,x33652))
% 206.97/207.87 [3366]P49(x33661,f263(x33661,x33662))
% 206.97/207.87 [3429]P29(x34291,x34292,f114(x34291))
% 206.97/207.87 [3462]P50(x34621,x34622,f263(x34621,x34622))
% 206.97/207.87 [3463]P52(x34631,x34631,f263(x34631,x34632))
% 206.97/207.87 [3729]P23(x37291,x37291,f5(x37291),x37292)
% 206.97/207.87 [3730]P23(x37301,x37301,f31(x37301),x37302)
% 206.97/207.87 [3738]P30(x37381,x37382,f114(x37381),f114(x37381))
% 206.97/207.87 [3747]P23(f916(x37471),f916(x37471),f169(x37471),x37472)
% 206.97/207.87 [4154]P24(x41541,x41541,f31(x41541),x41542,x41542)
% 206.97/207.87 [4653]~E(f30(x46531,x46532),a25)
% 206.97/207.87 [4654]~E(f29(x46541,x46542),a25)
% 206.97/207.87 [4679]~P31(x46791,x46792,f114(x46791))
% 206.97/207.87 [4680]~P33(x46801,x46802,f114(x46801))
% 206.97/207.87 [3327]E(f327(f5(x33271),x33272),x33272)
% 206.97/207.87 [3328]E(f327(f262(x33281),x33282),x33282)
% 206.97/207.87 [3330]E(f327(f31(x33301),x33302),x33302)
% 206.97/207.87 [3340]E(f327(f193(x33401),x33402),f116(x33401))
% 206.97/207.87 [3359]E(f85(x33591,f327(a324,x33592)),x33592)
% 206.97/207.87 [3360]E(f90(x33601,f327(a324,x33602)),x33602)
% 206.97/207.87 [3382]E(f327(f126(x33821,x33822),f120(x33821)),f2(a915))
% 206.97/207.87 [3385]E(f327(f137(x33851,x33852),f114(x33851)),f114(x33851))
% 206.97/207.87 [3405]E(f307(x34051,f307(x34051,x34052)),f307(x34051,x34052))
% 206.97/207.87 [3406]E(f153(x34061,f153(x34061,x34062)),f153(x34061,x34062))
% 206.97/207.87 [3424]E(f327(f327(f135(x34241),x34242),f114(x34241)),x34242)
% 206.97/207.87 [3430]E(f174(x34301,x34302,f114(x34301)),x34302)
% 206.97/207.87 [3431]E(f174(x34311,f114(x34311),x34312),x34312)
% 206.97/207.87 [3432]E(f117(x34321,f120(x34321),x34322),x34322)
% 206.97/207.87 [3433]E(f170(x34331,f2(a915),x34332),f114(x34331))
% 206.97/207.87 [3439]E(f327(f327(f176(x34391),x34392),f114(x34391)),f114(x34391))
% 206.97/207.87 [3440]E(f327(f327(f139(x34401),x34402),f114(x34401)),f114(x34401))
% 206.97/207.87 [3442]E(f156(x34421,x34422,f114(x34421)),f2(a915))
% 206.97/207.87 [3444]E(f171(x34441,x34442,f114(x34441)),f114(x34441))
% 206.97/207.87 [3445]E(f178(x34451,x34452,f114(x34451)),f114(x34451))
% 206.97/207.87 [3446]E(f177(x34461,f114(x34461),x34462),f114(x34461))
% 206.97/207.87 [3450]E(f327(f173(x34501),f153(x34501,x34502)),f327(f173(x34501),x34502))
% 206.97/207.87 [3453]E(f327(f284(x34531,x34531),f263(x34531,x34532)),x34532)
% 206.97/207.87 [3454]E(f327(f264(x34541,x34541),f263(x34541,x34542)),x34542)
% 206.97/207.87 [3461]E(f327(f286(x34611,x34611),f263(x34611,x34612)),f263(x34611,x34612))
% 206.97/207.87 [3474]E(f307(f916(x34741),f158(x34741,x34742)),f159(x34741,f307(x34741,x34742)))
% 206.97/207.87 [3476]P1(f327(f138(a1),f179(x34761,x34762)))
% 206.97/207.87 [3484]E(f327(f284(x34841,x34841),f307(x34841,x34842)),f242(f922(x34841,a910)))
% 206.97/207.87 [3485]E(f327(f264(x34851,x34851),f307(x34851,x34852)),f242(f922(x34851,a910)))
% 206.97/207.87 [3489]P1(f327(f138(x34891),f153(x34891,x34892)))
% 206.97/207.87 [3491]P1(f327(f161(x34911,x34912),f114(x34911)))
% 206.97/207.87 [3497]E(f327(f173(a1),f179(x34971,x34972)),f303(a1,x34971,x34972))
% 206.97/207.87 [3511]P53(x35111,f190(f922(x35111,a910)),x35112)
% 206.97/207.87 [3516]E(f327(f256(a1,a1),f47(x35161,x35162)),f46(a1,x35161,x35162))
% 206.97/207.87 [3517]E(f327(f302(a915,x35171),f327(a113,x35172)),f303(a915,x35171,x35172))
% 206.97/207.87 [3533]E(f327(f327(f152(x35331),x35332),f114(x35331)),f141(x35331,x35332,f114(x35331)))
% 206.97/207.87 [3545]E(f303(a915,f327(a113,x35451),x35452),f305(a915,x35451,x35452))
% 206.97/207.87 [3548]P50(x35481,f242(f922(x35481,a910)),f307(x35481,x35482))
% 206.97/207.87 [3611]E(f327(f327(f23(a915),x36111),f327(a113,x36112)),f327(f36(a915),f306(a915,x36112,x36111)))
% 206.97/207.87 [3667]E(f167(x36671,x36672,f114(x36671)),f327(f327(f252(f916(x36671),f916(x36671)),f114(x36671)),f114(x36671)))
% 206.97/207.87 [3685]E(f327(f257(x36851,x36852,f921(x36851,x36852)),f252(x36851,x36852)),f31(f921(x36851,x36852)))
% 206.97/207.87 [3689]P1(f327(f327(f329(f916(x36891)),f114(x36891)),f162(x36891,x36892)))
% 206.97/207.87 [3690]E(f327(f191(f916(x36901)),f115(x36901,x36902)),f327(f327(f23(a915),f327(f191(f916(x36901)),x36902)),f78(a915)))
% 206.97/207.87 [3698]P1(f327(f35(a915),f306(a915,x36981,x36982)))
% 206.97/207.87 [3699]P1(f327(f35(a915),f305(a915,x36991,x36992)))
% 206.97/207.87 [3700]P1(f327(f35(a915),f303(a915,x37001,x37002)))
% 206.97/207.87 [3701]P1(f327(f35(a1),f306(a1,x37011,x37012)))
% 206.97/207.87 [3702]P1(f327(f35(a1),f305(a1,x37021,x37022)))
% 206.97/207.87 [3703]P1(f327(f35(a1),f303(a1,x37031,x37032)))
% 206.97/207.87 [3809]E(f327(f310(a915,a915,a113),f303(a915,x38091,x38092)),f303(a915,f327(a113,x38091),f327(a113,x38092)))
% 206.97/207.87 [3829]E(f327(f327(f289(x38291,x38291,x38291),f307(x38291,x38292)),f307(x38291,x38292)),f307(x38291,x38292))
% 206.97/207.87 [3864]E(f327(f327(f252(a1,a1),f327(f327(f37(a1),x38641),x38642)),f46(a1,x38641,x38642)),f47(x38641,x38642))
% 206.97/207.87 [3865]E(f327(f327(f252(a100,a100),f327(f327(f37(a100),x38651),x38652)),f46(a100,x38651,x38652)),f21(x38651,x38652))
% 206.97/207.87 [3892]E(f327(f327(f252(a915,a915),f327(f327(f37(a915),x38921),x38922)),f46(a915,x38921,x38922)),f85(f921(a915,a915),f49(x38921,x38922)))
% 206.97/207.87 [3944]P1(f327(f327(f235(a915),f327(f327(f23(a915),x39441),x39442)),f327(a113,x39441)))
% 206.97/207.87 [3994]P36(x39941,f327(f327(f289(x39941,x39941,x39941),x39942),f307(x39941,x39942)))
% 206.97/207.87 [4045]E(f327(f327(f80(a1),f327(f327(f81(a1),x40451),f327(f327(f37(a1),x40452),x40451))),f46(a1,x40452,x40451)),x40452)
% 206.97/207.87 [4049]E(f327(f327(f40(a915,f922(f921(f916(x40491),f916(x40491)),a910)),f242(f922(a915,a910))),f144(x40491,x40492)),f146(x40491,x40492))
% 206.97/207.87 [4273]P1(f327(f327(f329(f921(f916(x42731),f916(x42731))),f327(f327(f252(f916(x42731),f916(x42731)),f114(x42731)),f114(x42731))),f159(x42731,x42732)))
% 206.97/207.87 [4382]E(f253(x43821,x43821,x43821,a324,f253(x43821,x43821,x43821,x43822,a324)),x43822)
% 206.97/207.87 [4426]E(f258(x44261,x44261,x44262,x44262,f5(x44261),f5(x44262)),f31(f921(x44261,x44262)))
% 206.97/207.87 [4428]E(f258(x44281,x44281,x44282,x44282,f31(x44281),f31(x44282)),f31(f921(x44281,x44282)))
% 206.97/207.87 [3423]E(f327(f169(x34231),f327(f169(x34231),x34232)),x34232)
% 206.97/207.87 [3425]E(f327(f327(f139(x34251),f2(a915)),x34252),x34252)
% 206.97/207.87 [3441]E(f327(f327(f176(x34411),f2(a915)),x34412),f114(x34411))
% 206.97/207.87 [3448]E(f327(f327(f135(x34481),f114(x34481)),x34482),x34482)
% 206.97/207.87 [3457]E(f38(f922(x34571,a910),f327(f308(x34571),x34572)),x34572)
% 206.97/207.87 [3459]E(f327(f173(x34591),f327(f168(x34591),x34592)),f327(f173(x34591),x34592))
% 206.97/207.87 [3460]E(f327(f173(x34601),f327(f169(x34601),x34602)),f327(f173(x34601),x34602))
% 206.97/207.87 [3465]E(f327(f327(f23(a100),x34651),x34652),f327(f327(a24,x34651),x34652))
% 206.97/207.87 [3478]E(f327(f327(f80(a915),x34781),x34782),f327(f327(f80(a915),x34782),x34781))
% 206.97/207.87 [3479]E(f327(f327(f80(a1),x34791),x34792),f327(f327(f80(a1),x34792),x34791))
% 206.97/207.87 [3480]E(f327(f327(f81(a915),x34801),x34802),f327(f327(f81(a915),x34802),x34801))
% 206.97/207.87 [3481]E(f327(f327(f81(a1),x34811),x34812),f327(f327(f81(a1),x34812),x34811))
% 206.97/207.87 [3503]E(f327(f327(f184(x35031,x35031),f2(a915)),x35032),f31(x35031))
% 206.97/207.87 [3504]E(f327(f191(f916(x35041)),f327(f168(x35041),x35042)),f327(f191(f916(x35041)),x35042))
% 206.97/207.87 [3505]E(f327(f191(f916(x35051)),f327(f169(x35051),x35052)),f327(f191(f916(x35051)),x35052))
% 206.97/207.87 [3506]E(f177(x35061,x35062,f190(f922(a915,a910))),f114(x35061))
% 206.97/207.87 [3507]E(f327(f327(f155(x35071,x35071),f5(x35071)),x35072),x35072)
% 206.97/207.87 [3509]E(f327(f251(a1,a1),f47(x35091,x35092)),f327(f327(f37(a1),x35091),x35092))
% 206.97/207.87 [3526]E(f327(f191(f916(x35261)),f153(x35261,x35262)),f327(f36(x35261),f327(f173(x35261),x35262)))
% 206.97/207.87 [3527]E(f28(f29(x35271,x35272)),f327(f327(f80(a915),f28(x35272)),f327(a113,f2(a915))))
% 206.97/207.87 [3528]E(f327(f281(x35281),f327(f286(x35281,x35281),x35282)),f327(f281(x35281),x35282))
% 206.97/207.87 [3532]P1(f327(f35(x35321),f327(f173(x35321),x35322)))
% 206.97/207.87 [3540]E(f327(f327(f80(a1),x35401),f327(f79(a1),x35402)),f327(f327(f23(a1),x35401),x35402))
% 206.97/207.87 [3547]P22(x35471,x35472,f190(f922(f913(x35471),a910)))
% 206.97/207.87 [3549]E(f327(f310(x35491,x35491,f5(x35491)),x35492),x35492)
% 206.97/207.87 [3550]E(f327(f310(x35501,x35501,f31(x35501)),x35502),x35502)
% 206.97/207.87 [3551]E(f327(f311(x35511,x35511,f5(x35511)),x35512),x35512)
% 206.97/207.87 [3552]E(f327(f311(x35521,x35521,f31(x35521)),x35522),x35522)
% 206.97/207.87 [3553]P1(f327(f242(f922(x35531,a910)),x35532))
% 206.97/207.87 [3555]E(f327(f36(a915),f327(f302(a915,x35551),x35552)),f327(f327(f23(a915),x35552),x35551))
% 206.97/207.87 [3556]E(f327(f302(a915,f327(a113,x35561)),x35562),f306(a915,x35561,x35562))
% 206.97/207.87 [3569]E(f327(f327(f309(x35691),x35692),f190(f922(x35691,a910))),f327(f262(x35691),f327(a324,x35692)))
% 206.97/207.87 [3574]E(f307(x35741,f327(f286(x35741,x35741),x35742)),f327(f286(x35741,x35741),f307(x35741,x35742)))
% 206.97/207.87 [3579]E(f327(f327(f80(a915),f327(a113,x35791)),x35792),f327(f327(f80(a915),x35791),f327(a113,x35792)))
% 206.97/207.87 [3580]E(f327(f327(f23(a915),f327(a113,x35801)),f327(a113,x35802)),f327(f327(f23(a915),x35801),x35802))
% 206.97/207.87 [3586]E(f56(x35861,f2(a915),x35862),f327(f327(f152(f916(x35861)),f114(x35861)),f114(f916(x35861))))
% 206.97/207.87 [3587]E(f327(f36(a915),f305(a915,x35871,x35872)),f327(f327(f23(a915),x35872),x35871))
% 206.97/207.87 [3596]P35(x35961,f327(f327(f288(a915,x35961),a240),x35962))
% 206.97/207.87 [3598]P11(a915,f140(a915,f327(f302(a915,x35981),x35982)))
% 206.97/207.87 [3600]P1(f327(f35(a915),f327(f302(a915,x36001),x36002)))
% 206.97/207.87 [3601]P1(f327(f35(a1),f327(f302(a1,x36011),x36012)))
% 206.97/207.87 [3604]E(f327(f286(f916(x36041),f916(x36041)),f158(x36041,x36042)),f158(x36041,f327(f286(x36041,x36041),x36042)))
% 206.97/207.87 [3605]E(f327(f191(a912),f29(x36051,x36052)),f327(f327(f80(a915),f327(f191(a912),x36052)),f327(a113,f2(a915))))
% 206.97/207.87 [3607]E(f327(f302(a1,x36071),f327(f327(f80(a1),x36072),f78(a1))),f303(a1,x36071,x36072))
% 206.97/207.87 [3610]E(f327(f327(f37(a1),f327(f79(a1),x36101)),f327(f79(a1),x36102)),f327(f327(f37(a1),x36101),x36102))
% 206.97/207.87 [3618]E(f327(f327(f184(f921(x36181,x36181),a910),f78(a915)),x36182),x36182)
% 206.97/207.87 [3620]E(f327(f327(f23(f922(x36201,a910)),x36202),f190(f922(x36201,a910))),x36202)
% 206.97/207.87 [3621]E(f327(f327(f102(f922(x36211,a910)),x36212),f190(f922(x36211,a910))),x36212)
% 206.97/207.87 [3622]E(f327(f327(f103(f922(x36221,a910)),x36222),f242(f922(x36221,a910))),x36222)
% 206.97/207.87 [3623]E(f327(f251(a915,a915),f85(f921(a915,a915),f49(x36231,x36232))),f327(f327(f37(a915),x36231),x36232))
% 206.97/207.87 [3630]E(f303(a1,f327(f327(f80(a1),x36301),f78(a1)),x36302),f305(a1,x36301,x36302))
% 206.97/207.87 [3635]E(f327(f256(a915,a915),f85(f921(a915,a915),f49(x36351,x36352))),f46(a915,x36351,x36352))
% 206.97/207.87 [3645]P1(f327(f327(f329(x36451),x36452),f242(f922(x36451,a910))))
% 206.97/207.87 [3650]E(f327(f327(f23(a915),f327(a113,x36501)),x36502),f327(f36(a915),f303(a915,x36502,x36501)))
% 206.97/207.87 [3676]E(f327(f327(f23(f922(x36761,a910)),x36762),f242(f922(x36761,a910))),f190(f922(x36761,a910)))
% 206.97/207.87 [3677]E(f327(f327(f102(f922(x36771,a910)),x36772),f242(f922(x36771,a910))),f242(f922(x36771,a910)))
% 206.97/207.87 [3678]E(f327(f327(f103(f922(x36781,a910)),x36782),f190(f922(x36781,a910))),f190(f922(x36781,a910)))
% 206.97/207.87 [3693]E(f46(a1,f327(f79(a1),x36931),f327(f79(a1),x36932)),f327(f79(a1),f46(a1,x36931,x36932)))
% 206.97/207.87 [3694]E(f46(a1,f327(f101(a1),x36941),f327(f101(a1),x36942)),f327(f101(a1),f46(a915,x36941,x36942)))
% 206.97/207.87 [3705]E(f327(f191(f916(x37051)),f327(f172(x37051),x37052)),f327(f327(f23(a915),f327(f191(f916(x37051)),x37052)),f78(a915)))
% 206.97/207.87 [3731]E(f327(f327(f37(a1),f46(a1,x37311,x37312)),x37312),f2(a1))
% 206.97/207.87 [3740]E(f327(a3,f46(a915,f327(a20,x37401),f327(a20,x37402))),f46(a100,x37401,x37402))
% 206.97/207.87 [3775]E(f327(a3,f327(f327(f23(a915),f327(a20,x37751)),f327(a20,x37752))),f327(f327(f23(a100),x37751),x37752))
% 206.97/207.87 [3776]E(f327(a3,f327(f327(f80(a915),f327(a20,x37761)),f327(a20,x37762))),f327(f327(f80(a100),x37761),x37762))
% 206.97/207.87 [3777]E(f327(a3,f327(f327(f81(a915),f327(a20,x37771)),f327(a20,x37772))),f327(f327(f81(a100),x37771),x37772))
% 206.97/207.87 [3778]E(f327(a3,f327(f327(f37(a915),f327(a20,x37781)),f327(a20,x37782))),f327(f327(f37(a100),x37781),x37782))
% 206.97/207.87 [3787]E(f327(f310(a915,a915,a113),f327(f302(a915,x37871),x37872)),f327(f302(a915,f327(a113,x37871)),f327(a113,x37872)))
% 206.97/207.87 [3814]P1(f327(f49(x38141,x38142),f85(f921(a915,a915),f49(x38141,x38142))))
% 206.97/207.87 [3838]E(f327(f327(f80(a915),f327(f327(f80(a915),f28(x38381)),f28(x38382))),f327(a113,f2(a915))),f28(f30(x38381,x38382)))
% 206.97/207.87 [3839]E(f46(a915,f327(a113,f46(a915,x38391,x38392)),x38392),f46(a915,f327(a113,x38391),x38392))
% 206.97/207.87 [3851]E(f327(f327(f41(f922(x38511,a910),f922(x38511,a910)),x38512),f5(f922(x38511,a910))),f39(f922(x38511,a910),x38512))
% 206.97/207.87 [3852]E(f327(f327(f40(f922(x38521,a910),f922(x38521,a910)),x38522),f5(f922(x38521,a910))),f38(f922(x38521,a910),x38522))
% 206.97/207.87 [3853]E(f327(f310(f916(x38531),f922(x38531,a910),f173(x38531)),f327(f173(f916(x38531)),f55(x38531,x38532))),f327(f308(x38531),f327(f173(x38531),x38532)))
% 206.97/207.87 [3857]P1(f327(f327(f329(f922(x38571,a910)),x38572),f327(f308(x38571),x38572)))
% 206.97/207.87 [3863]E(f46(a1,f327(f79(a1),f46(a1,x38631,x38632)),x38632),f46(a1,f327(f79(a1),x38631),x38632))
% 206.97/207.87 [3874]P1(f327(f327(f234(f922(x38741,a910)),x38742),f242(f922(x38741,a910))))
% 206.97/207.87 [3876]E(f327(f327(f289(x38761,x38761,x38761),f307(x38761,x38762)),f307(x38761,f307(x38761,x38762))),f307(x38761,x38762))
% 206.97/207.87 [3877]E(f327(f327(f102(f922(x38771,a910)),f327(f264(x38771,x38771),x38772)),f327(f284(x38771,x38771),x38772)),f327(f281(x38771),x38772))
% 206.97/207.87 [3898]E(f313(x38981,x38982,f242(f922(x38981,a910)),f242(f922(x38982,a910))),f242(f922(f920(x38981,x38982),a910)))
% 206.97/207.87 [3949]P1(f327(f327(f234(a915),f46(a915,x39491,x39492)),x39491))
% 206.97/207.87 [3973]P1(f327(f327(f234(a1),f327(f79(a1),f327(f101(a1),x39731))),f327(f101(a1),x39732)))
% 206.97/207.87 [3999]P1(f327(f327(f329(f922(x39991,a910)),f190(f922(x39991,a910))),f327(f308(x39991),x39992)))
% 206.97/207.87 [4004]E(f307(x40041,f327(f327(f289(x40041,x40041,x40041),x40042),f307(x40041,x40042))),f307(x40041,x40042))
% 206.97/207.87 [4007]E(f327(f327(f289(x40071,x40071,x40071),f307(x40071,x40072)),x40072),f327(f327(f289(x40071,x40071,x40071),x40072),f307(x40071,x40072)))
% 206.97/207.87 [4009]E(f327(a106,f327(f327(f80(a1),f327(f327(f23(a1),x40091),x40092)),f78(a1))),f327(f36(a1),f303(a1,x40092,x40091)))
% 206.97/207.87 [4024]E(f327(f284(x40241,x40241),f327(f327(f289(x40241,x40241,x40241),x40242),f307(x40241,x40242))),f327(f284(x40241,x40241),x40242))
% 206.97/207.87 [4025]E(f327(f264(x40251,x40251),f327(f327(f289(x40251,x40251,x40251),x40252),f307(x40251,x40252))),f327(f264(x40251,x40251),x40252))
% 206.97/207.87 [4041]E(f327(f327(f80(a915),f327(f327(f80(a915),f327(f191(a912),x40411)),f327(f191(a912),x40412))),f327(a113,f2(a915))),f327(f191(a912),f30(x40411,x40412)))
% 206.97/207.87 [4044]E(f327(f143(f916(x40441),f916(x40441),f135(x40441),f114(x40441)),f170(f916(x40441),x40442,f114(x40441))),f114(x40441))
% 206.97/207.87 [4053]P23(a915,a915,f327(f327(f7(a915,a915,a915),f80(a915)),x40531),x40532)
% 206.97/207.87 [4055]P11(a915,f327(f169(a915),f327(f327(f155(f916(x40551),a915),f191(f916(x40551))),f180(x40551,x40552))))
% 206.97/207.87 [4086]P49(x40861,f327(f327(f102(f922(f921(x40861,x40861),a910)),x40862),f327(f286(x40861,x40861),x40862)))
% 206.97/207.87 [4087]P49(x40871,f327(f327(f103(f922(f921(x40871,x40871),a910)),x40872),f327(f286(x40871,x40871),x40872)))
% 206.97/207.87 [4098]P1(f327(f327(f235(a1),f327(f79(a1),f327(f101(a1),f327(a113,x40981)))),f327(f101(a1),x40982)))
% 206.97/207.87 [4143]E(f327(f143(f916(x41431),x41431,f327(f7(x41431,f916(x41431),f916(x41431)),f152(x41431)),f114(x41431)),x41432),f327(f169(x41431),x41432))
% 206.97/207.87 [4194]P1(f327(f327(f234(f922(f921(f916(x41941),f916(x41941)),a910)),f159(x41941,x41942)),f307(f916(x41941),f158(x41941,x41942))))
% 206.97/207.87 [4223]P1(f327(f49(x42231,x42232),f327(f327(f252(a915,a915),f327(f327(f37(a915),x42231),x42232)),f46(a915,x42231,x42232))))
% 206.97/207.87 [4235]P1(f327(f327(f234(f922(f921(f916(x42351),f916(x42351)),a910)),f158(x42351,f307(x42351,x42352))),f307(f916(x42351),f158(x42351,x42352))))
% 206.97/207.87 [4451]E(f327(f327(f259(f921(a100,a100),a100,f921(a100,a100),f921(x44511,f921(a100,a100))),f267(f327(f166(a100),f327(f327(f155(f921(a100,x44511),a100),f251(a100,x44511)),x44512)))),f327(f327(f8(x44511,f922(f921(a100,a100),f921(x44511,f921(a100,a100))),a100),f252(x44511,f921(a100,a100))),f268(x44511,x44512))),f266(x44511,x44512))
% 206.97/207.87 [4528]E(f225(a915,f921(x45281,f917(x45281)),f2(a915),f327(f257(x45281,f917(x45281),a915),f327(f16(f922(f917(x45281),a915),x45281),f327(f327(f7(f917(x45281),a915,a915),f327(f327(f8(a915,f922(a915,a915),f917(x45281)),f80(a915)),f191(f917(x45281)))),f78(a915)))),f327(f136(x45281),x45282)),f327(f191(f917(x45281)),x45282))
% 206.97/207.87 [4636]E(f327(f257(f922(f921(x46361,x46361),a910),f922(f921(x46361,x46361),a910),f922(f922(x46362,x46361),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910)))),f327(f327(f7(f922(f921(x46361,x46361),a910),f922(f922(f921(x46361,x46361),a910),f922(f922(x46362,x46361),f922(f921(x46362,x46362),a910))),f922(f922(f921(x46361,x46361),a910),f922(f922(x46362,x46361),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910))))),f327(f327(f8(f922(f922(f922(x46362,x46361),f922(f921(x46362,x46362),a910)),f922(f922(x46362,x46361),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910)))),f922(f922(f922(f921(x46361,x46361),a910),f922(f922(x46362,x46361),f922(f921(x46362,x46362),a910))),f922(f922(f921(x46361,x46361),a910),f922(f922(x46362,x46361),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910))))),f922(f921(x46361,x46361),a910)),f8(f922(f922(x46362,x46361),f922(f921(x46362,x46362),a910)),f922(f922(x46362,x46361),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910))),f922(f921(x46361,x46361),a910))),f327(f327(f8(f922(f922(x46362,x46361),f922(f922(f921(x46362,x46362),a910),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910)))),f922(f922(f922(x46362,x46361),f922(f921(x46362,x46362),a910)),f922(f922(x46362,x46361),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910)))),f922(f921(x46361,x46361),a910)),f18(f922(x46362,x46361),f922(f921(x46362,x46362),a910),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910)))),f327(f327(f8(f922(f922(x46362,x46361),f922(f921(x46362,x46362),a910)),f922(f922(x46362,x46361),f922(f922(f921(x46362,x46362),a910),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910)))),f922(f921(x46361,x46361),a910)),f327(f8(f922(f921(x46362,x46362),a910),f922(f922(f921(x46362,x46362),a910),f921(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910))),f922(x46362,x46361)),f252(f922(f921(x46362,x46362),a910),f922(f921(x46362,x46362),a910)))),f288(x46361,x46362))))),f288(x46361,x46362))),f73(x46361,x46362))
% 206.97/207.87 [4700]~E(f327(f308(x47001),x47002),f190(f922(f922(x47001,a910),a910)))
% 206.97/207.87 [4711]~P1(f327(f327(f173(x47111),f114(x47111)),x47112))
% 206.97/207.87 [4715]~P1(f327(f327(f329(x47151),x47152),f190(f922(x47151,a910))))
% 206.97/207.87 [4723]~P1(f327(f327(f235(f922(x47231,a910)),x47232),f190(f922(x47231,a910))))
% 206.97/207.87 [3558]E(f327(f327(f23(a915),x35581),f327(f327(f80(a915),x35581),x35582)),f2(a915))
% 206.97/207.87 [3561]E(f327(f327(f102(f922(x35611,a910)),x35612),x35612),x35612)
% 206.97/207.87 [3562]E(f327(f327(f103(f922(x35621,a910)),x35622),x35622),x35622)
% 206.97/207.87 [3590]E(f327(f327(f23(f922(x35901,a910)),x35902),x35902),f190(f922(x35901,a910)))
% 206.97/207.87 [3593]E(f327(f144(x35931,x35932),f2(a915)),f190(f922(f921(f916(x35931),f916(x35931)),a910)))
% 206.97/207.87 [3594]E(f327(f327(f80(a915),x35941),f327(a113,x35942)),f327(a113,f327(f327(f80(a915),x35941),x35942)))
% 206.97/207.87 [3606]E(f196(f327(f101(a1),x36061),f327(f101(a1),x36062)),f327(f101(a1),f327(f327(f23(a915),x36061),x36062)))
% 206.97/207.87 [3609]E(f327(f327(f37(a1),f327(f79(a1),x36091)),x36092),f327(f327(f37(a1),x36091),f327(f79(a1),x36092)))
% 206.97/207.87 [3613]E(f327(f36(a1),f327(f302(a1,x36131),x36132)),f327(a106,f327(f327(f23(a1),x36132),x36131)))
% 206.97/207.87 [3616]E(f327(f327(f80(a915),f327(a113,x36161)),x36162),f327(a113,f327(f327(f80(a915),x36161),x36162)))
% 206.97/207.87 [3619]E(f327(f79(f922(x36191,a910)),f327(f79(f922(x36191,a910)),x36192)),x36192)
% 206.97/207.87 [3632]E(f180(x36321,f327(f327(f152(f916(x36321)),f114(x36321)),x36322)),f180(x36321,x36322))
% 206.97/207.87 [3636]E(f327(f327(f80(a915),x36361),f327(f327(f81(a915),x36361),x36362)),f327(f327(f81(a915),x36361),f327(a113,x36362)))
% 206.97/207.87 [3643]E(f327(f327(a24,f327(a3,x36431)),f327(a3,x36432)),f327(a3,f327(f327(f23(a915),x36431),x36432)))
% 206.97/207.87 [3658]E(f327(f327(f81(a1),f327(f79(a1),x36581)),x36582),f327(f79(a1),f327(f327(f81(a1),x36581),x36582)))
% 206.97/207.87 [3660]E(f327(f327(f244(a1),f327(f101(a1),x36601)),x36602),f327(f101(a1),f327(f327(f244(a915),x36601),x36602)))
% 206.97/207.87 [3661]E(f327(f327(f80(a100),f327(a3,x36611)),f327(a3,x36612)),f327(a3,f327(f327(f80(a915),x36611),x36612)))
% 206.97/207.87 [3662]E(f327(f327(f81(a100),f327(a3,x36621)),f327(a3,x36622)),f327(a3,f327(f327(f81(a915),x36621),x36622)))
% 206.97/207.87 [3663]E(f327(f327(f238(a915),f327(a113,x36631)),f327(a113,x36632)),f327(a113,f327(f327(f238(a915),x36631),x36632)))
% 206.97/207.87 [3664]E(f327(f327(f189(a915),f327(a113,x36641)),f327(a113,x36642)),f327(a113,f327(f327(f189(a915),x36641),x36642)))
% 206.97/207.87 [3669]E(f327(f173(a915),f140(a915,f327(f302(a915,x36691),x36692))),f327(f302(a915,x36691),x36692))
% 206.97/207.87 [3670]E(f312(x36701,f327(f327(f309(x36701),x36702),f190(f922(x36701,a910)))),x36702)
% 206.97/207.87 [3674]E(f327(f284(x36741,x36742),f190(f922(f921(x36741,x36742),a910))),f190(f922(x36742,a910)))
% 206.97/207.87 [3675]E(f327(f264(x36751,x36752),f190(f922(f921(x36751,x36752),a910))),f190(f922(x36751,a910)))
% 206.97/207.87 [3679]E(f327(a106,f327(f327(f23(a1),x36791),x36792)),f327(f36(a1),f305(a1,x36792,x36791)))
% 206.97/207.87 [3684]E(f327(f327(f80(a915),x36841),f327(f327(f81(a915),x36842),x36841)),f327(f327(f81(a915),f327(a113,x36842)),x36841))
% 206.97/207.87 [3686]E(f327(f327(f61(x36861),f190(f922(x36861,a910))),x36862),f190(f922(f922(x36861,a910),a910)))
% 206.97/207.87 [3695]E(f327(f191(f916(a915)),f140(a915,f327(f302(a915,x36951),x36952))),f327(f327(f23(a915),x36952),x36951))
% 206.97/207.87 [3710]E(f327(f327(f102(f922(x37101,a910)),f190(f922(x37101,a910))),x37102),x37102)
% 206.97/207.87 [3711]E(f327(f327(f103(f922(x37111,a910)),f242(f922(x37111,a910))),x37112),x37112)
% 206.97/207.87 [3712]E(f327(f327(f80(a1),f327(f79(a1),x37121)),f327(f79(a1),x37122)),f327(f79(a1),f327(f327(f80(a1),x37121),x37122)))
% 206.97/207.87 [3717]E(f327(f327(f80(a1),f327(f101(a1),x37171)),f327(f101(a1),x37172)),f327(f101(a1),f327(f327(f80(a915),x37171),x37172)))
% 206.97/207.87 [3718]E(f327(f327(f80(a1),f327(f105(a1),x37181)),f327(f105(a1),x37182)),f327(f105(a1),f327(f327(f80(a1),x37181),x37182)))
% 206.97/207.87 [3720]E(f327(f327(f81(a1),f327(f101(a1),x37201)),f327(f101(a1),x37202)),f327(f101(a1),f327(f327(f81(a915),x37201),x37202)))
% 206.97/207.87 [3721]E(f327(f327(f81(a1),f327(f105(a1),x37211)),f327(f105(a1),x37212)),f327(f105(a1),f327(f327(f81(a1),x37211),x37212)))
% 206.97/207.87 [3722]E(f327(f327(f37(a1),f327(f101(a1),x37221)),f327(f101(a1),x37222)),f327(f101(a1),f327(f327(f37(a915),x37221),x37222)))
% 206.97/207.87 [3741]E(f327(f327(f6(x37411,a915),f327(f16(a915,x37411),f78(a915))),x37412),f327(f36(x37411),x37412))
% 206.97/207.87 [3748]E(f327(f79(a1),f46(a1,f327(f79(a1),x37481),x37482)),f46(a1,x37481,f327(f79(a1),x37482)))
% 206.97/207.87 [3750]E(f327(f173(a1),f179(x37501,f327(f327(f23(a1),x37502),f78(a1)))),f327(f302(a1,x37501),x37502))
% 206.97/207.87 [3754]P1(f327(f327(f234(a915),x37541),f327(f327(f80(a915),x37542),x37541)))
% 206.97/207.87 [3755]P1(f327(f327(f234(a915),x37551),f327(f327(f80(a915),x37551),x37552)))
% 206.97/207.87 [3758]E(f327(f327(f23(f922(x37581,a910)),f190(f922(x37581,a910))),x37582),f190(f922(x37581,a910)))
% 206.97/207.87 [3759]E(f327(f327(f102(f922(x37591,a910)),f242(f922(x37591,a910))),x37592),f242(f922(x37591,a910)))
% 206.97/207.87 [3760]E(f327(f327(f103(f922(x37601,a910)),f190(f922(x37601,a910))),x37602),f190(f922(x37601,a910)))
% 206.97/207.87 [3767]E(f327(f327(f252(a1,a1),x37671),f327(f79(a1),x37672)),f327(a52,f327(f327(f252(a1,a1),x37671),x37672)))
% 206.97/207.87 [3768]E(f327(f302(a1,f327(f327(f80(a1),x37681),f78(a1))),x37682),f306(a1,x37681,x37682))
% 206.97/207.87 [3779]E(f327(f327(f81(a915),x37791),f327(f327(f37(a915),x37792),x37791)),f327(f327(f23(a915),x37792),f46(a915,x37792,x37791)))
% 206.97/207.87 [3780]E(f327(f327(f81(a1),x37801),f327(f327(f37(a1),x37802),x37801)),f327(f327(f23(a1),x37802),f46(a1,x37802,x37801)))
% 206.97/207.87 [3784]E(f327(f173(a1),f179(f327(f327(f80(a1),x37841),f78(a1)),x37842)),f305(a1,x37841,x37842))
% 206.97/207.87 [3788]P1(f327(f327(f234(f922(x37881,a910)),x37882),x37882))
% 206.97/207.87 [3791]E(f327(f327(f102(f922(x37911,a910)),x37912),f327(f79(f922(x37911,a910)),x37912)),f242(f922(x37911,a910)))
% 206.97/207.87 [3792]E(f327(f327(f103(f922(x37921,a910)),x37922),f327(f79(f922(x37921,a910)),x37922)),f190(f922(x37921,a910)))
% 206.97/207.87 [3800]E(f327(f327(f23(a915),f327(f327(f23(a915),x38001),f78(a915))),x38002),f327(f327(f23(a915),x38001),f327(a113,x38002)))
% 206.97/207.87 [3806]E(f327(f327(f23(f922(x38061,a910)),f242(f922(x38061,a910))),x38062),f327(f79(f922(x38061,a910)),x38062))
% 206.97/207.87 [3807]E(f327(f327(f23(a1),f327(f105(a1),x38071)),f327(f105(a1),x38072)),f327(f105(a1),f327(f327(f80(a1),x38071),f327(f79(a1),x38072))))
% 206.97/207.87 [3820]E(f327(f173(a915),f140(a915,f327(f302(a915,x38201),f327(a113,x38202)))),f303(a915,x38201,x38202))
% 206.97/207.87 [3836]E(f327(f191(f916(f916(x38361))),f55(x38361,x38362)),f327(f327(f244(a915),f327(a113,f327(a113,f2(a915)))),f327(f191(f916(x38361)),x38362)))
% 206.97/207.87 [3855]E(f327(f327(f184(f921(x38551,x38551),a910),f2(a915)),x38552),f307(x38551,f190(f922(f921(x38551,x38551),a910))))
% 206.97/207.87 [3859]P1(f327(f138(a915),f140(a915,f327(f302(a915,x38591),x38592))))
% 206.97/207.87 [3875]E(f327(f310(a1,a915,a106),f303(a1,f327(f101(a1),x38751),f327(f101(a1),x38752))),f303(a915,x38751,x38752))
% 206.97/207.87 [3884]E(f186(a915,f2(a915),f5(a915),f327(f327(f23(a915),x38841),x38842)),f327(f327(f23(a915),x38841),f327(a113,x38842)))
% 206.97/207.87 [3885]E(f327(a106,f327(f327(f23(a1),x38851),f327(f327(f80(a1),x38852),f78(a1)))),f327(f36(a1),f306(a1,x38852,x38851)))
% 206.97/207.87 [3921]E(f327(f327(f155(a915,a915),a113),f140(a915,f327(f302(a915,x39211),x39212))),f140(a915,f327(f302(a915,f327(a113,x39211)),f327(a113,x39212))))
% 206.97/207.87 [3929]E(f327(f173(a1),f179(f327(f327(f80(a1),x39291),f78(a1)),f327(f327(f23(a1),x39292),f78(a1)))),f306(a1,x39291,x39292))
% 206.97/207.87 [3941]P1(f327(f327(f234(f922(x39411,a910)),f190(f922(x39411,a910))),x39412))
% 206.97/207.87 [3945]E(f85(x39451,f327(f327(f7(x39451,x39451,a910),a324),x39452)),x39452)
% 206.97/207.87 [3946]E(f90(x39461,f327(f327(f7(x39461,x39461,a910),a324),x39462)),x39462)
% 206.97/207.87 [3950]E(f327(f173(a915),f140(a915,f327(f302(a915,f327(a113,x39501)),f327(a113,x39502)))),f305(a915,x39501,x39502))
% 206.97/207.87 [3976]E(f327(f327(f254(x39761,x39762),f242(f922(x39761,a910))),f327(f16(f922(x39762,a910),x39761),f242(f922(x39762,a910)))),f242(f922(f921(x39761,x39762),a910)))
% 206.97/207.87 [4011]E(f327(f262(x40111),f327(f327(f8(a910,a910,x40111),a322),x40112)),f327(f79(f922(x40111,a910)),f327(f262(x40111),x40112)))
% 206.97/207.87 [4014]E(f327(f262(x40141),f327(f327(f7(x40141,x40141,a910),a324),x40142)),f327(f327(f309(x40141),x40142),f190(f922(x40141,a910))))
% 206.97/207.87 [4021]E(f327(f327(f80(a1),f327(f327(f23(a1),x40211),x40212)),f327(f327(f23(a1),x40211),x40212)),f327(f327(f23(a1),f327(f327(f80(a1),x40211),x40211)),f327(f327(f80(a1),x40212),x40212)))
% 206.97/207.87 [4022]E(f327(f327(f80(a1),f327(f327(f80(a1),x40221),x40221)),f327(f327(f80(a1),x40222),x40222)),f327(f327(f80(a1),f327(f327(f80(a1),x40221),x40222)),f327(f327(f80(a1),x40221),x40222)))
% 206.97/207.87 [4038]P1(f327(f327(f234(a915),f327(f36(x40381),f327(f173(x40381),x40382))),f327(f191(f916(x40381)),x40382)))
% 206.97/207.87 [4039]P1(f327(f327(f234(a915),f327(f191(f916(x40391)),f153(x40391,x40392))),f327(f191(f916(x40391)),x40392)))
% 206.97/207.87 [4050]E(f327(f262(x40501),f327(f327(f7(x40501,f922(x40501,a910),a910),f329(x40501)),x40502)),x40502)
% 206.97/207.87 [4064]E(f327(f327(f176(x40641),f327(f327(f23(a915),f327(f191(f916(x40641)),x40642)),f78(a915))),x40642),f115(x40641,x40642))
% 206.97/207.87 [4085]E(f186(a915,f2(a915),f327(f327(f8(a915,a915,a915),a113),f327(f238(a915),x40851)),x40852),f327(f327(f238(a915),f327(a113,x40851)),x40852))
% 206.97/207.87 [4090]E(f38(f922(x40901,a910),f327(f310(f922(f921(x40901,x40901),a910),f922(x40901,a910),f281(x40901)),x40902)),f327(f281(x40901),f38(f922(f921(x40901,x40901),a910),x40902)))
% 206.97/207.87 [4091]E(f186(a915,f327(a113,x40911),f327(f327(f8(a915,a915,a915),a113),f327(f189(a915),x40911)),x40912),f327(f327(f189(a915),f327(a113,x40911)),x40912))
% 206.97/207.87 [4093]E(f327(f327(f252(a1,a1),f327(f327(f37(a1),f327(f75(a1),x40931)),f327(f75(a1),x40932))),f46(a1,f327(f75(a1),x40931),f327(f75(a1),x40932))),f54(x40931,x40932))
% 206.97/207.87 [4116]P1(f327(f327(f234(f922(f922(x41161,a910),a910)),x41162),f327(f308(x41161),f38(f922(x41161,a910),x41162))))
% 206.97/207.87 [4148]E(f327(f327(f40(x41481,f922(x41481,a910)),x41482),f327(f327(f7(x41481,f922(x41481,a910),f922(x41481,a910)),f309(x41481)),f190(f922(x41481,a910)))),x41482)
% 206.97/207.87 [4149]E(f327(f327(f289(x41491,x41491,x41491),f327(f286(x41491,x41491),x41492)),f307(x41491,f327(f286(x41491,x41491),x41492))),f327(f286(x41491,x41491),f327(f327(f289(x41491,x41491,x41491),x41492),f307(x41491,x41492))))
% 206.97/207.87 [4215]E(f327(f173(x42151),f327(f143(f916(x42151),f916(x42151),f135(x42151),f114(x42151)),x42152)),f327(f327(f40(f916(x42151),f922(x42151,a910)),f327(f173(f916(x42151)),x42152)),f173(x42151)))
% 206.97/207.87 [4246]E(f327(f327(f102(f922(f921(x42461,x42461),a910)),f307(x42461,f190(f922(f921(x42461,x42461),a910)))),f327(f327(f289(x42461,x42461,x42461),f307(x42461,x42462)),x42462)),f307(x42461,x42462))
% 206.97/207.87 [4282]E(f327(f327(f182(x42821,x42821),x42822),x42822),f327(f327(f155(x42821,f921(x42821,x42821)),f327(f327(f18(x42821,x42821,f921(x42821,x42821)),f252(x42821,x42821)),f5(x42821))),x42822))
% 206.97/207.87 [4393]E(f327(f143(a915,f916(x43931),f327(f7(f916(x43931),a915,a915),f327(f327(f8(a915,f922(a915,a915),f916(x43931)),f189(a915)),f191(f916(x43931)))),f2(a915)),f327(f169(f916(x43931)),x43932)),f327(f191(f916(f916(x43931))),f180(x43931,x43932)))
% 206.97/207.87 [4465]E(f327(f327(f288(f921(a915,f916(x44651)),f916(x44651)),f320(a915,f916(x44651),a240,f146(x44651,x44652))),f327(f327(f18(f916(x44651),f916(x44651),f921(a915,f916(x44651))),f327(f327(f8(a915,f922(f916(x44651),f921(a915,f916(x44651))),f916(x44651)),f252(a915,f916(x44651))),f191(f916(x44651)))),f5(f916(x44651)))),f147(x44651,x44652))
% 206.97/207.87 [4592]E(f327(f262(x45921),f327(f327(f8(f922(f922(x45921,a910),a910),a910,x45921),f88(f922(x45921,a910))),f327(f327(f8(f922(f922(x45921,a910),a910),f922(f922(x45921,a910),a910),x45921),f327(f18(f922(x45921,a910),a910,a910),f327(f327(f8(a910,f922(a910,a910),f922(x45921,a910)),a330),f327(f327(f7(f922(x45921,a910),f922(f922(x45921,a910),a910),a910),f329(f922(x45921,a910))),x45922)))),f329(x45921)))),f39(f922(x45921,a910),x45922))
% 206.97/207.87 [4593]E(f327(f262(x45931),f327(f327(f8(f922(f922(x45931,a910),a910),a910,x45931),f87(f922(x45931,a910))),f327(f327(f8(f922(f922(x45931,a910),a910),f922(f922(x45931,a910),a910),x45931),f327(f18(f922(x45931,a910),a910,a910),f327(f327(f8(a910,f922(a910,a910),f922(x45931,a910)),a325),f327(f327(f7(f922(x45931,a910),f922(f922(x45931,a910),a910),a910),f329(f922(x45931,a910))),x45932)))),f329(x45931)))),f38(f922(x45931,a910),x45932))
% 206.97/207.87 [4724]~P1(f327(f327(f235(a1),f327(f101(a1),x47241)),f327(f79(a1),f327(f101(a1),x47242))))
% 206.97/207.87 [3682]E(f327(f327(f23(a915),f327(f327(f80(a915),x36821),x36822)),x36822),x36821)
% 206.97/207.87 [3683]E(f327(f327(f23(a915),f327(f327(f80(a915),x36831),x36832)),x36831),x36832)
% 206.97/207.87 [3749]E(f327(f327(f80(a915),f327(f327(f23(a915),x37491),x37492)),x37492),f327(f327(f189(a915),x37491),x37492))
% 206.97/207.87 [3862]E(f327(f327(f81(a915),f327(f327(f37(a915),x38621),x38622)),x38622),f327(f327(f23(a915),x38621),f46(a915,x38621,x38622)))
% 206.97/207.87 [3889]E(f327(f173(a915),f140(a915,f327(f302(a915,f327(a113,x38891)),x38892))),f306(a915,x38891,x38892))
% 206.97/207.87 [3897]E(f327(f101(a1),f218(f327(a106,f327(f75(a1),x38971)),f327(a106,f327(f75(a1),x38972)))),f327(f327(a219,x38971),x38972))
% 206.97/207.87 [3899]E(f327(f327(f102(f922(x38991,a910)),f327(f79(f922(x38991,a910)),x38992)),x38992),f242(f922(x38991,a910)))
% 206.97/207.87 [3900]E(f327(f327(f103(f922(x39001,a910)),f327(f79(f922(x39001,a910)),x39002)),x39002),f190(f922(x39001,a910)))
% 206.97/207.87 [3917]P1(f327(f327(f234(a915),f327(f327(f23(a915),x39171),x39172)),x39171))
% 206.97/207.87 [3918]P1(f327(f327(f234(a915),f327(f327(f37(a915),x39181),x39182)),x39181))
% 206.97/207.87 [3942]P1(f327(f327(f235(a915),x39421),f327(a113,f327(f327(f80(a915),x39422),x39421))))
% 206.97/207.87 [3943]P1(f327(f327(f235(a915),x39431),f327(a113,f327(f327(f80(a915),x39431),x39432))))
% 206.97/207.87 [3960]E(f327(f327(f81(a915),f327(a106,f327(f75(a1),x39601))),f327(a106,f327(f75(a1),x39602))),f327(a106,f327(f75(a1),f327(f327(f81(a1),x39601),x39602))))
% 206.97/207.87 [3972]P1(f327(f327(f234(a1),f2(a1)),f327(f327(f244(a1),f327(f75(a1),x39721)),x39722)))
% 206.97/207.87 [4043]E(f327(f285(f916(x40431),f916(x40431),f159(x40431,x40432)),f327(f327(f309(f916(x40431)),f114(x40431)),f190(f922(f916(x40431),a910)))),f327(f327(f309(f916(x40431)),f114(x40431)),f190(f922(f916(x40431),a910))))
% 206.97/207.87 [4062]E(f327(f327(f102(f922(f921(x40621,x40621),a910)),f307(x40621,x40622)),f307(x40621,f190(f922(f921(x40621,x40621),a910)))),f307(x40621,x40622))
% 206.97/207.87 [4075]E(f327(f327(f37(a1),f327(f105(a1),f327(f327(f80(a1),x40751),x40751))),f327(f105(a1),f327(f327(f80(a1),x40752),x40752))),f327(f327(f37(a1),f327(f105(a1),x40751)),f327(f105(a1),x40752)))
% 206.97/207.87 [4138]E(f327(f327(f244(a1),x41381),f327(f105(a915),f327(f327(f80(a1),x41382),x41382))),f327(f327(f86(a1,a1),f327(f327(f244(a1),x41381),f327(f105(a915),x41382))),f327(f327(f18(a1,a1,a1),f81(a1)),f5(a1))))
% 206.97/207.87 [4144]E(f327(f262(f922(x41441,a910)),f327(f327(f7(f922(x41441,a910),f922(x41441,a910),a910),f234(f922(x41441,a910))),x41442)),f327(f308(x41441),x41442))
% 206.97/207.87 [4160]E(f327(f327(f155(a1,a915),a106),f327(f327(f135(a1),f327(f327(f155(a915,a1),f101(a1)),x41601)),f327(f327(f155(a915,a1),f101(a1)),x41602))),f327(f327(f135(a915),x41601),x41602))
% 206.97/207.87 [4193]E(f327(f310(a1,a1,f327(f327(f7(a1,a1,a1),f80(a1)),x41931)),f327(f302(a1,f2(a1)),f327(f327(f23(a1),x41932),x41931))),f327(f302(a1,x41931),x41932))
% 206.97/207.87 [4195]P51(x41951,f327(f327(f23(f922(f921(x41951,x41951),a910)),x41952),f307(x41951,f190(f922(f921(x41951,x41951),a910)))))
% 206.97/207.87 [4213]E(f327(f191(f916(x42131)),f327(f143(f916(x42131),f916(x42131),f135(x42131),f114(x42131)),x42132)),f327(f166(a915),f327(f327(f155(f916(x42131),a915),f191(f916(x42131))),x42132)))
% 206.97/207.87 [4217]P50(x42171,f242(f922(x42171,a910)),f327(f327(f102(f922(f921(x42171,x42171),a910)),x42172),f307(x42171,f190(f922(f921(x42171,x42171),a910)))))
% 206.97/207.87 [4262]E(f186(a915,f2(a915),f327(f327(f8(a915,a915,a915),a113),f327(f327(f7(a915,a915,a915),f238(a915)),x42621)),x42622),f327(f327(f238(a915),x42622),f327(a113,x42621)))
% 206.97/207.87 [4265]E(f186(a915,f327(a113,x42651),f327(f327(f8(a915,a915,a915),a113),f327(f327(f7(a915,a915,a915),f189(a915)),x42651)),x42652),f327(f327(f189(a915),x42652),f327(a113,x42651)))
% 206.97/207.87 [4268]E(f327(f310(x42681,f916(x42681),f327(f327(f7(x42681,f916(x42681),f916(x42681)),f152(x42681)),f114(x42681))),x42682),f175(x42681,x42682,f327(f327(f309(f916(x42681)),f114(x42681)),f190(f922(f916(x42681),a910)))))
% 206.97/207.87 [4270]E(f327(f327(f102(f922(f921(x42701,x42701),a910)),f327(f327(f289(x42701,x42701,x42701),x42702),f307(x42701,x42702))),f307(x42701,f190(f922(f921(x42701,x42701),a910)))),f307(x42701,x42702))
% 206.97/207.87 [4277]P1(f327(f327(f234(f922(f921(x42771,x42771),a910)),f263(x42771,x42772)),f327(f327(f254(x42771,x42771),x42772),f327(f16(f922(x42771,a910),x42771),x42772))))
% 206.97/207.87 [4280]E(f327(f310(a1,a915,a106),f327(f327(f102(f922(a1,a910)),f327(f310(a915,a1,f101(a1)),x42801)),f327(f310(a915,a1,f101(a1)),x42802))),f327(f327(f102(f922(a915,a910)),x42801),x42802))
% 206.97/207.87 [4281]E(f327(f310(a1,a915,a106),f327(f327(f103(f922(a1,a910)),f327(f310(a915,a1,f101(a1)),x42811)),f327(f310(a915,a1,f101(a1)),x42812))),f327(f327(f103(f922(a915,a910)),x42811),x42812))
% 206.97/207.87 [4284]E(f327(f262(x42841),f327(f327(f8(a910,a910,x42841),a322),f327(f327(f7(x42841,f922(x42841,a910),a910),f329(x42841)),x42842))),f327(f79(f922(x42841,a910)),x42842))
% 206.97/207.87 [4311]E(f327(f143(f916(x43111),f916(x43111),f135(x43111),f114(x43111)),f327(f327(f155(f916(x43111),f916(x43111)),f169(x43111)),f327(f169(f916(x43111)),x43112))),f327(f169(x43111),f327(f143(f916(x43111),f916(x43111),f135(x43111),f114(x43111)),x43112)))
% 206.97/207.87 [4337]E(f327(f327(f40(a915,f922(f921(x43371,x43371),a910)),f242(f922(a915,a910))),f327(f327(f7(a915,f922(f921(x43371,x43371),a910),f922(f921(x43371,x43371),a910)),f184(f921(x43371,x43371),a910)),x43372)),f307(x43371,x43372))
% 206.97/207.87 [4355]E(f85(x43551,f327(f327(f8(f922(x43551,a910),a910,x43551),f327(a324,x43552)),f327(f327(f7(x43551,f922(x43551,a910),f922(x43551,a910)),f309(x43551)),f190(f922(x43551,a910))))),f312(x43551,x43552))
% 206.97/207.87 [4363]E(f327(f191(f916(x43631)),f153(x43631,f327(f143(f916(x43631),f916(x43631),f135(x43631),f114(x43631)),x43632))),f327(f36(x43631),f327(f327(f40(f916(x43631),f922(x43631,a910)),f327(f173(f916(x43631)),x43632)),f173(x43631))))
% 206.97/207.87 [4377]E(f327(f327(f102(f922(f921(x43771,x43771),a910)),x43772),f327(f327(f289(x43771,x43771,x43771),f327(f327(f289(x43771,x43771,x43771),x43772),f307(x43771,x43772))),x43772)),f327(f327(f289(x43771,x43771,x43771),x43772),f307(x43771,x43772)))
% 206.97/207.87 [4401]P1(f327(f327(f234(f922(f921(x44011,x44011),a910)),f327(f327(f289(x44011,x44011,x44011),x44012),f307(x44011,x44012))),f327(f327(f254(x44011,x44011),f327(f281(x44011),x44012)),f327(f16(f922(x44011,a910),x44011),f327(f281(x44011),x44012)))))
% 206.97/207.87 [4442]E(f327(f262(f916(x44421)),f327(f327(f7(f916(x44421),f922(x44421,a910),a910),f327(f327(f8(f922(x44421,a910),f922(f922(x44421,a910),a910),f916(x44421)),f234(f922(x44421,a910))),f173(x44421))),x44422)),f162(x44421,x44422))
% 206.97/207.87 [4453]E(f327(f157(f916(x44531),x44531,f114(x44531),f327(f327(f8(f916(x44531),f922(f916(x44531),f916(x44531)),x44531),f327(f7(f916(x44531),f916(x44531),f916(x44531)),f135(x44531))),f327(f327(f7(x44531,f916(x44531),f916(x44531)),f152(x44531)),f114(x44531)))),x44532),f327(f168(x44531),x44532))
% 206.97/207.87 [4493]P23(f922(x44931,x44932),f922(f921(x44931,x44932),a910),f327(f327(f8(f922(f921(x44931,x44932),a910),f922(f921(x44931,x44932),a910),f922(x44931,x44932)),f262(f921(x44931,x44932))),f327(f327(f8(f922(x44931,f922(x44932,a910)),f922(f921(x44931,x44932),a910),f922(x44931,x44932)),f257(x44931,x44932,a910)),f327(f8(x44932,f922(x44932,a910),x44931),f327(f7(x44932,x44932,a910),a324)))),f242(f922(f922(x44931,x44932),a910)))
% 206.97/207.87 [4498]E(f46(a1,f327(f105(a1),f327(f327(f80(a1),x44981),x44981)),f327(f105(a1),f327(f327(f80(a1),x44982),x44982))),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f46(a1,f327(f105(a1),x44981),f327(f105(a1),x44982))))
% 206.97/207.87 [4542]E(f327(f327(f40(x45421,f922(f921(x45421,x45421),a910)),x45422),f327(f327(f7(x45421,f922(f921(x45421,x45421),a910),f922(f921(x45421,x45421),a910)),f327(f327(f8(f921(x45421,x45421),f922(f922(f921(x45421,x45421),a910),f922(f921(x45421,x45421),a910)),x45421),f309(f921(x45421,x45421))),f327(f327(f18(x45421,x45421,f921(x45421,x45421)),f252(x45421,x45421)),f5(x45421)))),f190(f922(f921(x45421,x45421),a910)))),f263(x45421,x45422))
% 206.97/207.87 [4550]E(f204(x45501,f327(f327(f252(a1,a1),f327(f79(a1),f327(f327(f72(f921(a1,a1),a1,x45501,f251(a1,a1)),f214(x45501)),x45502))),f327(f327(f72(f921(a1,a1),a1,x45501,f256(a1,a1)),f214(x45501)),x45502))),f229(x45501,x45502))
% 206.97/207.87 [4632]E(f327(f262(f922(x46321,a910)),f327(f327(f8(f922(f922(x46321,a910),a910),a910,f922(x46321,a910)),f87(f922(x46321,a910))),f327(f327(f7(f922(x46321,a910),f922(f922(x46321,a910),a910),f922(f922(x46321,a910),a910)),f327(f327(f8(f922(f922(x46321,a910),f922(a910,a910)),f922(f922(f922(x46321,a910),a910),f922(f922(x46321,a910),a910)),f922(x46321,a910)),f18(f922(x46321,a910),a910,a910)),f327(f327(f8(f922(f922(x46321,a910),a910),f922(f922(x46321,a910),f922(a910,a910)),f922(x46321,a910)),f327(f8(a910,f922(a910,a910),f922(x46321,a910)),a325)),f327(f327(f7(f922(x46321,a910),f922(f922(x46321,a910),f922(x46321,a910)),f922(f922(x46321,a910),a910)),f327(f327(f8(f922(f922(x46321,a910),a910),f922(f922(f922(x46321,a910),f922(x46321,a910)),f922(f922(x46321,a910),a910)),f922(x46321,a910)),f8(f922(x46321,a910),a910,f922(x46321,a910))),a324)),f79(f922(x46321,a910)))))),f327(f327(f8(f922(f922(x46321,a910),a910),a910,f922(x46321,a910)),f327(f329(f922(x46321,a910)),x46322)),f308(x46321))))),f327(f308(x46321),f327(f79(f922(x46321,a910)),x46322)))
% 206.97/207.87 [4722]~E(f327(f327(f80(a1),x47221),x47221),f327(f327(f23(a1),f327(f327(f80(a1),x47222),x47222)),a98))
% 206.97/207.87 [4726]~P1(f327(f327(f235(a915),f327(f327(f80(a915),x47261),x47262)),x47262))
% 206.97/207.87 [4727]~P1(f327(f327(f235(a915),f327(f327(f80(a915),x47271),x47272)),x47271))
% 206.97/207.87 [3977]E(f327(f327(f23(a915),x39771),f327(f327(f81(a915),f327(f327(f37(a915),x39771),x39772)),x39772)),f46(a915,x39771,x39772))
% 206.97/207.87 [3978]E(f327(f327(f23(a1),x39781),f327(f327(f81(a1),f327(f327(f37(a1),x39781),x39782)),x39782)),f46(a1,x39781,x39782))
% 206.97/207.87 [4012]E(f327(f327(f155(a915,x40121),f327(f165(x40121),x40122)),f140(a915,f327(f302(a915,f2(a915)),f327(f191(f916(x40121)),x40122)))),x40122)
% 206.97/207.87 [4071]E(f327(f285(x40711,x40711,f307(x40711,f190(f922(f921(x40711,x40711),a910)))),x40712),x40712)
% 206.97/207.87 [4198]E(f307(x41981,f327(f327(f23(f922(f921(x41981,x41981),a910)),x41982),f307(x41981,f190(f922(f921(x41981,x41981),a910))))),f307(x41981,x41982))
% 206.97/207.87 [4199]E(f307(x41991,f327(f327(f102(f922(f921(x41991,x41991),a910)),x41992),f307(x41991,f190(f922(f921(x41991,x41991),a910))))),f307(x41991,x41992))
% 206.97/207.87 [4249]E(f327(f327(f23(a1),f327(f327(f23(a1),f327(f327(f80(a1),x42491),x42491)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),x42492),x42492)),a98)),f327(f327(f80(a1),f327(f327(f23(a1),x42491),x42492)),f327(f327(f23(a1),x42491),x42492)))
% 206.97/207.87 [4289]E(f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f80(a1),x42891),x42892)),f327(f327(f80(a1),x42891),x42892))),a98),f327(f327(f80(a1),f327(f327(f80(a1),x42891),x42891)),f327(f327(f23(a1),f327(f327(f80(a1),x42892),x42892)),a98)))
% 206.97/207.87 [4314]E(f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),x43141),x43141)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),x43142),x43142)),a98)),f327(f327(f80(a1),f327(f327(f80(a1),x43141),f327(f327(f23(a1),x43142),a98))),f327(f327(f80(a1),x43141),f327(f327(f23(a1),x43142),a98))))
% 206.97/207.87 [4325]E(f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),x43251),x43252)),f327(f327(f23(a1),x43251),x43252))),a98),f327(f327(f23(a1),f327(f327(f23(a1),f327(f327(f80(a1),x43251),x43251)),a98)),f327(f327(f80(a1),x43252),x43252)))
% 206.97/207.87 [4326]E(f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f80(a1),x43261),x43262)),f327(f327(f80(a1),x43261),x43262))),a98),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),x43261),x43261)),a98)),f327(f327(f80(a1),x43262),x43262)))
% 206.97/207.87 [4374]E(f327(f101(a1),f327(f327(f37(a915),f327(f327(f81(a915),f327(a106,f327(f75(a1),x43741))),f327(a106,f327(f75(a1),x43742)))),f218(f327(a106,f327(f75(a1),x43741)),f327(a106,f327(f75(a1),x43742))))),f220(x43741,x43742))
% 206.97/207.87 [4419]E(f327(f327(f259(f921(a100,a100),a100,f921(a100,a100),f921(x44191,f921(a100,a100))),f267(f327(a3,f327(f191(f916(x44191)),x44192)))),f327(f327(f8(x44191,f922(f921(a100,a100),f921(x44191,f921(a100,a100))),a100),f252(x44191,f921(a100,a100))),f327(f327(f8(a915,x44191,a100),f327(f165(x44191),x44192)),a20))),f275(x44191,x44192))
% 206.97/207.87 [4499]E(f327(f143(a915,f916(x44991),f327(f7(f916(x44991),a915,a915),f327(f327(f8(a915,f922(a915,a915),f916(x44991)),f189(a915)),f191(f916(x44991)))),f2(a915)),f327(f169(f916(x44991)),f180(x44991,x44992))),f327(f191(f916(f916(x44991))),f327(f137(f916(x44991),f327(f327(f8(a910,a910,f916(x44991)),a322),f327(f327(f7(f916(x44991),f916(x44991),a910),a324),f114(x44991)))),x44992)))
% 206.97/207.87 [4505]E(f327(f327(f40(a915,f922(x45051,a910)),f242(f922(a915,a910))),f327(f327(f7(a915,f922(a915,f922(x45051,a910)),f922(x45051,a910)),f327(f327(f8(f922(a915,a910),f922(f922(a915,f922(x45051,a910)),f922(x45051,a910)),a915),f40(a915,f922(x45051,a910))),f302(a915,f2(a915)))),x45052)),f327(f327(f40(a915,f922(x45051,a910)),f242(f922(a915,a910))),x45052))
% 206.97/207.87 [4527]P1(f327(f35(a915),f327(f262(a915),f327(f327(f18(a915,a910,a910),f327(f327(f8(a910,f922(a910,a910),a915),a325),x45271)),f327(f327(f7(a915,a915,a910),f235(a915)),x45272)))))
% 206.97/207.87 [4641]E(f327(f262(f921(f916(x46411),f916(x46411))),f327(f257(f916(x46411),f916(x46411),a910),f327(f327(f18(f916(x46411),f922(f916(x46411),a910),f922(f916(x46411),a910)),f327(f327(f8(f922(f916(x46411),f922(a910,a910)),f922(f922(f916(x46411),a910),f922(f916(x46411),a910)),f916(x46411)),f18(f916(x46411),a910,a910)),f327(f327(f8(f922(f916(x46411),a910),f922(f916(x46411),f922(a910,a910)),f916(x46411)),f327(f8(a910,f922(a910,a910),f916(x46411)),a326)),f327(f327(f7(f916(x46411),f922(f916(x46411),a915),f922(f916(x46411),a910)),f327(f327(f8(f922(a915,a910),f922(f922(f916(x46411),a915),f922(f916(x46411),a910)),f916(x46411)),f8(a915,a910,f916(x46411))),f327(f327(f8(a915,f922(a915,a910),f916(x46411)),f235(a915)),f191(f916(x46411))))),f191(f916(x46411)))))),f327(f327(f18(f916(x46411),f922(f916(x46411),a910),f922(f916(x46411),a910)),f327(f327(f8(f922(f916(x46411),f922(a910,a910)),f922(f922(f916(x46411),a910),f922(f916(x46411),a910)),f916(x46411)),f18(f916(x46411),a910,a910)),f327(f327(f8(f922(f916(x46411),a910),f922(f916(x46411),f922(a910,a910)),f916(x46411)),f327(f8(a910,f922(a910,a910),f916(x46411)),a325)),f327(f327(f7(f916(x46411),f922(f916(x46411),a915),f922(f916(x46411),a910)),f327(f327(f8(f922(a915,a910),f922(f922(f916(x46411),a915),f922(f916(x46411),a910)),f916(x46411)),f8(a915,a910,f916(x46411))),f327(f327(f8(a915,f922(a915,a910),f916(x46411)),a324),f191(f916(x46411))))),f191(f916(x46411)))))),f327(f327(f7(f916(x46411),f922(f921(f916(x46411),f916(x46411)),a910),f922(f916(x46411),a910)),f327(f327(f8(f922(f916(x46411),f922(f922(f921(f916(x46411),f916(x46411)),a910),a910)),f922(f922(f921(f916(x46411),f916(x46411)),a910),f922(f916(x46411),a910)),f916(x46411)),f7(f916(x46411),f922(f921(f916(x46411),f916(x46411)),a910),a910)),f327(f327(f8(f922(f916(x46411),f921(f916(x46411),f916(x46411))),f922(f916(x46411),f922(f922(f921(f916(x46411),f916(x46411)),a910),a910)),f916(x46411)),f327(f8(f921(f916(x46411),f916(x46411)),f922(f922(f921(f916(x46411),f916(x46411)),a910),a910),f916(x46411)),f329(f921(f916(x46411),f916(x46411))))),f252(f916(x46411),f916(x46411))))),f146(x46411,x46412)))))),f147(x46411,x46412))
% 206.97/207.87 [4317]E(f327(f327(f80(a1),f327(f327(f80(a1),f327(f327(f81(a1),x43171),x43172)),f327(f327(f81(a1),x43171),x43172))),x43172),f327(f327(f81(a1),f327(f327(f23(a1),f327(f327(f80(a1),x43171),x43171)),a98)),x43172))
% 206.97/207.87 [4418]E(f327(a106,f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x44181),x44182)),f190(f922(f921(a915,a915),a910)))))),f327(f327(f23(a915),x44181),x44182))
% 206.97/207.87 [4422]E(f327(f327(f289(x44221,x44221,x44221),f327(f327(f102(f922(f921(x44221,x44221),a910)),x44222),f307(x44221,f190(f922(f921(x44221,x44221),a910))))),f307(x44221,f327(f327(f102(f922(f921(x44221,x44221),a910)),x44222),f307(x44221,f190(f922(f921(x44221,x44221),a910)))))),f307(x44221,x44222))
% 206.97/207.87 [4459]E(f268(x44591,f327(f137(f921(a100,x44591),f327(f257(a100,x44591,a910),f327(f327(f8(a910,f922(x44591,a910),a100),f16(a910,x44591)),f327(f235(a100),f2(a100))))),x44592)),f268(x44591,x44592))
% 206.97/207.87 [4460]E(f266(x44601,f327(f137(f921(a100,x44601),f327(f257(a100,x44601,a910),f327(f327(f8(a910,f922(x44601,a910),a100),f16(a910,x44601)),f327(f235(a100),f2(a100))))),x44602)),f266(x44601,x44602))
% 206.97/207.87 [4462]E(f327(f79(a1),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x44621),x44622)),f190(f922(f921(a915,a915),a910)))))),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x44622),x44621)),f190(f922(f921(a915,a915),a910))))))
% 206.97/207.87 [4518]E(f327(f327(f288(f916(a915),x45181),f146(a915,a240)),f327(f327(f7(x45181,f916(f922(x45181,a915)),f916(a915)),f327(f327(f8(f922(f922(x45181,a915),a915),f922(f916(f922(x45181,a915)),f916(a915)),x45181),f155(f922(x45181,a915),a915)),f327(f7(f922(x45181,a915),x45181,a915),f5(f922(x45181,a915))))),x45182)),f154(x45181,x45182))
% 206.97/207.87 [4539]E(f327(f327(f86(a1,a915),f327(f105(a1),f327(f327(f80(a1),x45391),a98))),f327(f327(f18(a1,a915,a915),f327(f327(f7(a1,a915,f922(a915,a915)),f327(f327(f8(a910,f922(a915,f922(a915,a915)),a1),f97(a915)),a195)),f2(a915))),f327(f327(f8(a915,a915,a1),a113),f327(f327(f8(a915,a915,a1),f327(f238(a915),x45392)),a106)))),f327(f327(f238(a915),f327(a113,x45392)),f327(f105(a915),x45391)))
% 206.97/207.87 [4540]E(f327(f327(f86(a1,a915),f327(f105(a1),f327(f327(f80(a1),x45401),a98))),f327(f327(f18(a1,a915,a915),f327(f327(f7(a1,a915,f922(a915,a915)),f327(f327(f8(a910,f922(a915,f922(a915,a915)),a1),f97(a915)),a195)),f327(a113,x45402))),f327(f327(f8(a915,a915,a1),a113),f327(f327(f8(a915,a915,a1),f327(f189(a915),x45402)),a106)))),f327(f327(f189(a915),f327(a113,x45402)),f327(f105(a915),x45401)))
% 206.97/207.87 [4560]E(f327(f143(f916(x45601),f916(x45601),f135(x45601),f114(x45601)),f327(f327(f155(f916(x45601),f916(x45601)),f157(f916(x45601),x45601,f114(x45601),f327(f327(f8(f916(x45601),f922(f916(x45601),f916(x45601)),x45601),f16(f916(x45601),f916(x45601))),f327(f327(f7(x45601,f916(x45601),f916(x45601)),f152(x45601)),f114(x45601))))),x45602)),f327(f327(f155(f916(x45601),x45601),f142(x45601)),f327(f137(f916(x45601),f327(f327(f8(a910,a910,f916(x45601)),a322),f327(f327(f7(f916(x45601),f916(x45601),a910),a324),f114(x45601)))),x45602)))
% 206.97/207.87 [4623]E(f327(f257(a1,a1,a910),f327(f327(f7(a1,f922(a1,a910),f922(a1,a910)),f327(f327(f8(f922(a1,f922(a910,a910)),f922(f922(a1,a910),f922(a1,a910)),a1),f18(a1,a910,a910)),f327(f327(f8(f922(a1,a910),f922(a1,f922(a910,a910)),a1),f327(f8(a910,f922(a910,a910),a1),a325)),f327(f327(f8(f922(a1,a1),f922(a1,a910),a1),f327(f8(a1,a910,a1),f327(a324,x46231))),f327(f327(f8(a1,f922(a1,a1),a1),f80(a1)),f327(f81(a1),x46232)))))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f327(f8(a910,a910,a1),f327(a330,f327(f327(f235(a1),f2(a1)),x46232))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),f327(f327(f7(a1,a1,a910),f235(a1)),x46232))))),f327(f327(f8(a910,a910,a1),f327(a330,f327(a322,f327(f327(f235(a1),f2(a1)),x46232)))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f235(a1),x46232))),f327(f327(f7(a1,a1,a910),f234(a1)),f2(a1))))))),f50(x46231,x46232))
% 206.97/207.87 [4626]E(f327(f262(x46261),f327(f327(f8(f922(a915,a910),a910,x46261),f87(a915)),f327(f327(f7(x46261,f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),x46261),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),x46261),f327(f8(a910,f922(a910,a910),a915),a325)),f327(f327(f7(x46261,f922(a915,x46261),f922(a915,a910)),f327(f327(f8(f922(x46261,a910),f922(f922(a915,x46261),f922(a915,a910)),x46261),f8(x46261,a910,a915)),a324)),f327(f165(x46261),x46262))))),f327(f327(f7(a915,a915,a910),f235(a915)),f327(f191(f916(x46261)),x46262))))),f327(f173(x46261),x46262))
% 206.97/207.87 [4432]E(f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),x44321),a98)),x44322)),f327(f327(f23(a1),f327(f327(f80(a1),x44321),a98)),x44322))),a98),f327(f327(f23(a1),f327(f327(f80(a1),x44321),x44321)),f327(f327(f23(a1),f327(f327(f80(a1),x44322),x44322)),a98)))
% 206.97/207.87 [4555]E(f327(f143(f916(f916(x45551)),f916(f916(x45551)),f135(f916(x45551)),f114(f916(x45551))),f327(f327(f155(f916(x45551),f916(f916(x45551))),f157(f916(f916(x45551)),x45551,f114(f916(x45551)),f327(f16(f922(f916(x45551),f916(f916(x45551))),x45551),f327(f327(f7(f916(x45551),f916(f916(x45551)),f916(f916(x45551))),f152(f916(x45551))),f114(f916(x45551)))))),x45552)),f327(f327(f155(f916(x45551),f916(x45551)),f172(x45551)),f327(f137(f916(x45551),f327(f327(f8(a910,a910,f916(x45551)),a322),f327(f327(f7(f916(x45551),f916(x45551),a910),a324),f114(x45551)))),x45552)))
% 206.97/207.87 [4565]E(f327(f327(f86(a1,a915),f327(f105(a1),f327(f327(f80(a1),x45651),a98))),f327(f327(f18(a1,a915,a915),f327(f327(f7(a1,a915,f922(a915,a915)),f327(f327(f8(a910,f922(a915,f922(a915,a915)),a1),f97(a915)),a195)),f2(a915))),f327(f327(f8(a915,a915,a1),a113),f327(f327(f7(a1,a915,a915),f327(f327(f8(a915,f922(a915,a915),a1),f238(a915)),a106)),x45652)))),f327(f327(f238(a915),f327(f105(a915),x45651)),f327(a113,x45652)))
% 206.97/207.87 [4566]E(f327(f327(f86(a1,a915),f327(f105(a1),f327(f327(f80(a1),x45661),a98))),f327(f327(f18(a1,a915,a915),f327(f327(f7(a1,a915,f922(a915,a915)),f327(f327(f8(a910,f922(a915,f922(a915,a915)),a1),f97(a915)),a195)),f327(a113,x45662))),f327(f327(f8(a915,a915,a1),a113),f327(f327(f7(a1,a915,a915),f327(f327(f8(a915,f922(a915,a915),a1),f189(a915)),a106)),x45662)))),f327(f327(f189(a915),f327(f105(a915),x45661)),f327(a113,x45662)))
% 206.97/207.87 [4554]E(f327(f257(x45541,x45541,a910),f327(f327(f18(x45541,a910,f922(x45541,a910)),f327(f327(f8(f922(x45541,f922(a910,a910)),f922(a910,f922(x45541,a910)),x45541),f7(x45541,a910,a910)),f327(f327(f8(f922(x45541,a910),f922(x45541,f922(a910,a910)),x45541),f327(f8(a910,f922(a910,a910),x45541),a325)),a324))),x45542)),f263(x45541,x45542))
% 206.97/207.87 [4599]E(f327(f327(f37(a915),x45991),f327(f327(f80(a915),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98))),x45992)),f327(f327(f37(a915),x45991),f327(a113,f327(a113,f327(a113,x45992)))))
% 206.97/207.87 [4600]E(f46(a915,x46001,f327(f327(f80(a915),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98))),x46002)),f46(a915,x46001,f327(a113,f327(a113,f327(a113,x46002)))))
% 206.97/207.87 [4601]E(f46(a915,f327(f327(f80(a915),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98))),x46011),x46012),f46(a915,f327(a113,f327(a113,f327(a113,x46011))),x46012))
% 206.97/207.87 [4613]E(f124(f327(x46131,f327(f327(f81(a100),f327(f105(a100),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98))),x46132))),f327(f202(x46131),x46132))
% 206.97/207.87 [4614]E(f327(f327(f37(a915),f327(f327(f80(a915),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98))),x46141)),x46142),f327(f327(f37(a915),f327(a113,f327(a113,f327(a113,x46141)))),x46142))
% 206.97/207.87 [4673]~E(f27(x46731,x46732,x46733),a25)
% 206.97/207.87 [4674]~E(f26(x46741,x46742,x46743),a25)
% 206.97/207.87 [4678]~E(f127(x46781,x46782,x46783),f120(x46781))
% 206.97/207.87 [3407]E(f327(f194(x34071,x34072),x34073),f122(x34071,x34072))
% 206.97/207.87 [3426]E(f327(f201(x34261,x34262),x34263),f327(f130(x34261),x34262))
% 206.97/207.87 [3502]E(f327(f327(f155(x35021,x35022),x35023),f114(x35021)),f114(x35022))
% 206.97/207.87 [3542]E(f327(f185(x35421,x35422,x35423),f2(a915)),x35422)
% 206.97/207.87 [3544]E(f327(f327(f182(x35441,x35442),x35443),f114(x35442)),f114(f921(x35441,x35442)))
% 206.97/207.87 [3559]E(f327(f191(f916(x35591)),f170(x35591,x35592,x35593)),x35592)
% 206.97/207.87 [3578]E(f85(x35781,f62(x35781,x35782,x35783)),f327(f63(x35781,x35782),x35783))
% 206.97/207.87 [3582]E(f243(x35821,x35822,f243(x35822,x35821,x35823)),x35823)
% 206.97/207.87 [3602]E(f327(f169(x36021),f170(x36021,x36022,x36023)),f170(x36021,x36022,x36023))
% 206.97/207.87 [3629]E(f141(x36291,x36292,f153(x36291,x36293)),f153(x36291,f141(x36291,x36292,x36293)))
% 206.97/207.87 [3648]E(f327(f251(f916(x36481),f916(x36481)),f167(x36481,x36482,x36483)),f327(f137(x36481,x36482),x36483))
% 206.97/207.87 [3691]E(f327(f327(f152(x36911),x36912),f170(x36911,x36913,x36912)),f170(x36911,f327(a113,x36913),x36912))
% 206.97/207.87 [3723]E(f186(x37231,x37232,x37233,f2(a915)),x37232)
% 206.97/207.87 [3724]E(f17(x37241,x37242,x37243,f2(a100)),x37242)
% 206.97/207.87 [3725]E(f19(x37251,x37252,x37253,f2(a100)),x37252)
% 206.97/207.87 [3732]E(f164(x37321,x37322,x37323,f114(x37321)),f114(x37322))
% 206.97/207.87 [3733]E(f131(x37331,x37332,x37333,f120(x37331)),f120(x37332))
% 206.97/207.87 [3739]E(f327(f327(f165(x37391),f327(f327(f152(x37391),x37392),x37393)),f2(a915)),x37392)
% 206.97/207.87 [3769]E(f60(x37691,x37692,f114(x37691),x37693),f114(f921(x37691,x37692)))
% 206.97/207.87 [3790]P23(x37901,x37902,x37903,f190(f922(x37901,a910)))
% 206.97/207.87 [3893]E(f265(x38931,x38932,x38933),f327(f252(f922(a100,f922(a910,f918(f917(x38931)))),f921(a100,a100)),f42(x38931)))
% 206.97/207.87 [3951]E(f327(f72(x39511,x39512,x39511,x39513),f31(x39511)),x39513)
% 206.97/207.87 [4130]P1(f327(f327(f329(f921(x41301,x41301)),f327(f327(f252(x41301,x41301),x41302),x41302)),f307(x41301,x41303)))
% 206.97/207.87 [4731]~P1(f327(f327(f329(f921(f916(x47311),f916(x47311))),f327(f327(f252(f916(x47311),f916(x47311)),x47312),f114(x47311))),f146(x47311,x47313)))
% 206.97/207.87 [4732]~P1(f327(f327(f329(f921(f916(x47321),f916(x47321))),f327(f327(f252(f916(x47321),f916(x47321)),x47322),f114(x47321))),f148(x47321,x47323)))
% 206.97/207.87 [4733]~P1(f327(f327(f329(f921(f916(x47331),f916(x47331))),f327(f327(f252(f916(x47331),f916(x47331)),x47332),f114(x47331))),f158(x47331,x47333)))
% 206.97/207.87 [4734]~P1(f327(f327(f329(f921(f916(x47341),f916(x47341))),f327(f327(f252(f916(x47341),f916(x47341)),f114(x47341)),x47342)),f146(x47341,x47343)))
% 206.97/207.87 [4735]~P1(f327(f327(f329(f921(f916(x47351),f916(x47351))),f327(f327(f252(f916(x47351),f916(x47351)),f114(x47351)),x47352)),f158(x47351,x47353)))
% 206.97/207.87 [3477]E(f327(f327(f203(x34771),x34772),x34773),f204(x34771,f217(x34772,x34773)))
% 206.97/207.87 [3531]E(f327(f286(x35311,x35312),f327(f286(x35312,x35311),x35313)),x35313)
% 206.97/207.87 [3554]E(f327(f327(f182(x35541,x35542),f114(x35541)),x35543),f114(f921(x35541,x35542)))
% 206.97/207.87 [3557]E(f177(x35571,x35572,f327(f282(a915),x35573)),f327(f327(f176(x35571),x35573),x35572))
% 206.97/207.87 [3575]E(f153(x35751,f327(f137(x35751,x35752),x35753)),f327(f137(x35751,x35752),f153(x35751,x35753)))
% 206.97/207.87 [3576]E(f327(f284(x35761,x35762),f327(f286(x35762,x35761),x35763)),f327(f264(x35762,x35761),x35763))
% 206.97/207.87 [3577]E(f327(f264(x35771,x35772),f327(f286(x35772,x35771),x35773)),f327(f284(x35772,x35771),x35773))
% 206.97/207.87 [3595]E(f327(f137(x35951,x35952),f327(f169(x35951),x35953)),f327(f169(x35951),f327(f137(x35951,x35952),x35953)))
% 206.97/207.87 [3608]E(f327(f327(f139(x36081),x36082),f327(f172(x36081),x36083)),f327(f327(f139(x36081),f327(a113,x36082)),x36083))
% 206.97/207.87 [3624]E(f28(f26(x36241,x36242,x36243)),f327(f327(f80(a915),f28(x36243)),f327(a113,f2(a915))))
% 206.97/207.87 [3625]E(f327(f310(x36251,x36252,x36253),f190(f922(x36251,a910))),f190(f922(x36252,a910)))
% 206.97/207.87 [3626]E(f327(f311(x36261,x36262,x36263),f190(f922(x36262,a910))),f190(f922(x36261,a910)))
% 206.97/207.87 [3627]E(f327(f311(x36271,x36272,x36273),f242(f922(x36272,a910))),f242(f922(x36271,a910)))
% 206.97/207.87 [3628]E(f327(f285(x36281,x36282,x36283),f190(f922(x36281,a910))),f190(f922(x36282,a910)))
% 206.97/207.87 [3654]E(f121(x36541,f127(f917(x36541),x36542,x36543)),f117(x36541,x36542,f121(x36541,x36543)))
% 206.97/207.87 [3656]E(f327(f327(f309(x36561),x36562),f327(f173(x36561),x36563)),f327(f173(x36561),f141(x36561,x36562,x36563)))
% 206.97/207.87 [3743]E(f327(f191(a912),f26(x37431,x37432,x37433)),f327(f327(f80(a915),f327(f191(a912),x37433)),f327(a113,f2(a915))))
% 206.97/207.87 [3744]E(f327(f310(f921(x37441,x37442),x37442,f256(x37441,x37442)),x37443),f327(f284(x37441,x37442),x37443))
% 206.97/207.87 [3745]E(f327(f310(f921(x37451,x37452),x37451,f251(x37451,x37452)),x37453),f327(f264(x37451,x37452),x37453))
% 206.97/207.87 [3761]E(f327(f173(x37611),f170(x37611,f327(a113,x37612),x37613)),f327(f327(f309(x37611),x37613),f190(f922(x37611,a910))))
% 206.97/207.87 [3819]E(f327(f327(f252(x38191,x38192),f327(f251(x38191,x38192),x38193)),f327(f256(x38191,x38192),x38193)),x38193)
% 206.97/207.87 [3826]E(f327(f191(f917(x38261)),f127(x38261,x38262,x38263)),f327(f327(f80(a915),f327(f191(f917(x38261)),x38263)),f327(a113,f2(a915))))
% 206.97/207.87 [3828]E(f327(f327(f257(x38281,x38282,x38281),f16(x38281,x38282)),x38283),f327(f251(x38281,x38282),x38283))
% 206.97/207.87 [3906]E(f28(f27(x39061,x39062,x39063)),f327(f327(f80(a915),f327(f327(f80(a915),f28(x39062)),f28(x39063))),f327(a113,f2(a915))))
% 206.97/207.87 [3956]E(f327(f72(x39561,x39561,x39562,f31(x39561)),x39563),x39563)
% 206.97/207.87 [3963]E(f327(f327(f135(x39631),f170(x39631,x39632,x39633)),f327(f327(f152(x39631),x39633),f114(x39631))),f327(f327(f152(x39631),x39633),f170(x39631,x39632,x39633)))
% 206.97/207.87 [4065]E(f327(f191(a912),f27(x40651,x40652,x40653)),f327(f327(f80(a915),f327(f327(f80(a915),f327(f191(a912),x40652)),f327(f191(a912),x40653))),f327(a113,f2(a915))))
% 206.97/207.87 [4139]P1(f327(f327(f234(f922(x41391,a910)),f327(f173(x41391),f327(f137(x41391,x41392),x41393))),f327(f173(x41391),x41393)))
% 206.97/207.87 [4184]P1(f327(f327(f234(f922(x41841,a910)),f327(f173(x41841),f327(f327(f176(x41841),x41842),x41843))),f327(f173(x41841),x41843)))
% 206.97/207.87 [4185]P1(f327(f327(f234(f922(x41851,a910)),f327(f173(x41851),f327(f327(f139(x41851),x41852),x41853))),f327(f173(x41851),x41853)))
% 206.97/207.87 [4189]P1(f327(f327(f234(f922(x41891,a910)),f327(f173(x41891),f177(x41891,x41892,x41893))),f327(f173(x41891),x41892)))
% 206.97/207.87 [4190]P1(f327(f327(f234(f922(x41901,a910)),f327(f173(x41901),f171(x41901,x41902,x41903))),f327(f173(x41901),x41903)))
% 206.97/207.87 [4211]P23(f921(x42111,x42112),f921(x42112,x42111),f327(f257(x42111,x42112,f921(x42112,x42111)),f327(f7(x42112,x42111,f921(x42112,x42111)),f252(x42112,x42111))),x42113)
% 206.97/207.87 [4222]E(f327(f327(f327(f184(f916(x42221),f916(x42221)),f46(a915,x42222,f327(f191(f916(x42221)),x42223))),f168(x42221)),x42223),f327(f327(f327(f184(f916(x42221),f916(x42221)),x42222),f168(x42221)),x42223))
% 206.97/207.87 [4266]P1(f327(f327(f329(f921(f916(x42661),f916(x42661))),f327(f327(f252(f916(x42661),f916(x42661)),x42662),x42662)),f159(x42661,f307(x42661,x42663))))
% 206.97/207.87 [4405]E(f85(f921(x44051,x44052),f327(f327(f18(f921(x44051,x44052),x44052,a910),f327(f327(f8(x44051,f922(x44052,a910),f921(x44051,x44052)),x44053),f251(x44051,x44052))),f256(x44051,x44052))),f85(f921(x44051,x44052),f327(f257(x44051,x44052,a910),x44053)))
% 206.97/207.87 [4406]E(f90(f921(x44061,x44062),f327(f327(f18(f921(x44061,x44062),x44062,a910),f327(f327(f8(x44061,f922(x44062,a910),f921(x44061,x44062)),x44063),f251(x44061,x44062))),f256(x44061,x44062))),f90(f921(x44061,x44062),f327(f257(x44061,x44062,a910),x44063)))
% 206.97/207.87 [4439]E(f327(f327(f288(f921(a915,x44391),x44391),f320(a915,x44391,a240,x44392)),f327(f327(f18(x44391,x44391,f921(a915,x44391)),f327(f327(f8(a915,f922(x44391,f921(a915,x44391)),x44391),f252(a915,x44391)),x44393)),f5(x44391))),f321(x44391,x44393,x44392))
% 206.97/207.87 [4501]E(f327(f258(x45011,x45011,x45012,x45012,f5(x45011),f5(x45012)),x45013),x45013)
% 206.97/207.87 [4574]E(f327(f143(f916(f916(x45741)),f916(f916(x45741)),f135(f916(x45741)),f114(f916(x45741))),f327(f327(f155(f916(x45741),f916(f916(x45741))),f327(f327(f7(f916(x45741),f916(x45741),f916(f916(x45741))),f327(f327(f8(f922(x45741,f916(x45741)),f922(f916(x45741),f916(f916(x45741))),f916(x45741)),f155(x45741,f916(x45741))),f327(f7(x45741,f916(x45741),f916(x45741)),f152(x45741)))),x45742)),f56(x45741,x45743,x45742))),f56(x45741,f327(a113,x45743),x45742))
% 206.97/207.87 [4631]E(f225(a915,f921(x46311,f917(x46311)),f2(a915),f327(f257(x46311,f917(x46311),a915),f327(f327(f7(x46311,a915,f922(f917(x46311),a915)),f327(f327(f8(f922(f917(x46311),f922(a915,a915)),f922(a915,f922(f917(x46311),a915)),x46311),f7(f917(x46311),a915,a915)),f327(f327(f8(f922(f917(x46311),a915),f922(f917(x46311),f922(a915,a915)),x46311),f327(f8(a915,f922(a915,a915),f917(x46311)),f80(a915))),f327(f327(f7(x46311,f922(f917(x46311),a915),f922(f917(x46311),a915)),f327(f327(f8(f922(a915,a915),f922(f922(f917(x46311),a915),f922(f917(x46311),a915)),x46311),f8(a915,a915,f917(x46311))),f327(f327(f8(a915,f922(a915,a915),x46311),f80(a915)),x46312))),f126(x46311,x46312))))),f78(a915))),f327(f136(x46311),x46313)),f327(f126(x46311,x46312),x46313))
% 206.97/207.87 [4640]E(f327(f327(f86(a1,x46401),f220(f327(f327(f72(f921(a1,a1),a1,x46401,f256(a1,a1)),f214(x46401)),x46402),f327(f327(f72(f921(a1,a1),a1,x46401,f256(a1,a1)),f214(x46401)),x46403))),f327(f327(f18(a1,a1,x46401),f327(f327(f8(a1,f922(a1,x46401),a1),f203(x46401)),f327(f327(f18(a1,a1,a1),f327(f327(f8(a1,f922(a1,a1),a1),f80(a1)),f327(f327(f8(a1,a1,a1),f327(f81(a1),f327(f327(f72(f921(a1,a1),a1,x46401,f251(a1,a1)),f214(x46401)),x46402))),f327(f327(f7(a1,a1,a1),f37(a1)),f327(f327(f72(f921(a1,a1),a1,x46401,f256(a1,a1)),f214(x46401)),x46402))))),f327(f327(f8(a1,a1,a1),f327(f81(a1),f327(f327(f72(f921(a1,a1),a1,x46401,f251(a1,a1)),f214(x46401)),x46403))),f327(f327(f7(a1,a1,a1),f37(a1)),f327(f327(f72(f921(a1,a1),a1,x46401,f256(a1,a1)),f214(x46401)),x46403)))))),f5(a1))),f232(x46401,x46402,x46403))
% 206.97/207.87 [4669]~E(f327(f327(f152(x46691),x46692),x46693),x46693)
% 206.97/207.87 [4676]~E(f327(f327(f152(x46761),x46762),x46763),f114(x46761))
% 206.97/207.87 [4690]~E(f327(f327(f309(x46901),x46902),x46903),f190(f922(x46901,a910)))
% 206.97/207.87 [4713]~E(f327(f310(x47131,f922(x47131,a910),x47132),x47133),f327(f308(x47131),x47133))
% 206.97/207.87 [3536]E(f327(f327(f160(x35361,f114(x35361)),x35362),x35363),f114(x35361))
% 206.97/207.87 [3537]E(f327(f142(x35371),f327(f327(f152(x35371),x35372),x35373)),x35372)
% 206.97/207.87 [3538]E(f327(f172(x35381),f327(f327(f152(x35381),x35382),x35383)),x35383)
% 206.97/207.87 [3581]E(f327(f327(f139(x35811),f78(a915)),f327(f327(f152(x35811),x35812),x35813)),x35813)
% 206.97/207.87 [3615]E(f115(x36151,f327(f327(f139(x36151),x36152),x36153)),f327(f327(f139(x36151),x36152),f115(x36151,x36153)))
% 206.97/207.87 [3617]E(f327(f327(f160(x36171,x36172),x36173),f327(f327(f165(x36171),x36172),x36173)),x36172)
% 206.97/207.87 [3638]E(f327(f327(f309(x36381),x36382),f327(f327(f309(x36381),x36382),x36383)),f327(f327(f309(x36381),x36382),x36383))
% 206.97/207.87 [3651]E(f327(f327(f309(x36511),x36512),f327(f173(x36511),x36513)),f327(f173(x36511),f327(f327(f152(x36511),x36512),x36513)))
% 206.97/207.87 [3653]E(f327(f327(f139(x36531),x36532),f327(f172(x36531),x36533)),f327(f172(x36531),f327(f327(f139(x36531),x36532),x36533)))
% 206.97/207.87 [3665]E(f327(f327(f176(x36651),f78(a915)),f327(f327(f152(x36651),x36652),x36653)),f327(f327(f152(x36651),x36652),f114(x36651)))
% 206.97/207.87 [3708]E(f327(f63(x37081,x37082),f327(f327(f309(x37081),x37083),f190(f922(x37081,a910)))),x37083)
% 206.97/207.87 [3751]E(f327(f327(f80(a915),x37511),f327(f327(f80(a915),x37512),x37513)),f327(f327(f80(a915),x37512),f327(f327(f80(a915),x37511),x37513)))
% 206.97/207.87 [3752]E(f327(f327(f80(a1),x37521),f327(f327(f80(a1),x37522),x37523)),f327(f327(f80(a1),x37522),f327(f327(f80(a1),x37521),x37523)))
% 206.97/207.87 [3757]E(f327(f327(f254(x37571,x37572),f190(f922(x37571,a910))),x37573),f190(f922(f921(x37571,x37572),a910)))
% 206.97/207.87 [3782]E(f327(f327(f102(f922(x37821,a910)),x37822),x37823),f327(f327(f102(f922(x37821,a910)),x37823),x37822))
% 206.97/207.87 [3783]E(f327(f327(f103(f922(x37831,a910)),x37832),x37833),f327(f327(f103(f922(x37831,a910)),x37833),x37832))
% 206.97/207.87 [3785]E(f327(f327(f135(x37851),x37852),f327(f327(f152(x37851),x37853),f114(x37851))),f327(f168(x37851),f327(f327(f152(x37851),x37853),x37852)))
% 206.97/207.87 [3786]E(f327(f327(f135(x37861),f327(f169(x37861),x37862)),f327(f169(x37861),x37863)),f327(f169(x37861),f327(f327(f135(x37861),x37863),x37862)))
% 206.97/207.87 [3796]E(f327(f172(x37961),f327(f327(f176(x37961),f327(a113,x37962)),x37963)),f327(f327(f176(x37961),x37962),f327(f172(x37961),x37963)))
% 206.97/207.87 [3804]P1(f327(f327(f329(x38041),x38042),f327(f327(f309(x38041),x38042),x38043)))
% 206.97/207.87 [3808]E(f327(f327(f41(x38081,f922(x38082,a910)),f190(f922(x38081,a910))),x38083),f242(f922(x38082,a910)))
% 206.97/207.87 [3811]E(f327(f285(x38111,x38111,f263(x38111,x38112)),x38113),f327(f327(f103(f922(x38111,a910)),x38112),x38113))
% 206.97/207.87 [3825]E(f327(f191(f916(x38251)),f327(f327(f152(x38251),x38252),x38253)),f327(f327(f80(a915),f327(f191(f916(x38251)),x38253)),f327(a113,f2(a915))))
% 206.97/207.87 [3830]E(f115(x38301,f327(f327(f135(x38301),x38302),f327(f327(f152(x38301),x38303),f114(x38301)))),x38302)
% 206.97/207.87 [3831]E(f145(x38311,f327(f327(f135(x38311),x38312),f327(f327(f152(x38311),x38313),f114(x38311)))),x38313)
% 206.97/207.87 [3840]E(f327(f327(f135(x38401),f327(f327(f176(x38401),x38402),x38403)),f327(f327(f139(x38401),x38402),x38403)),x38403)
% 206.97/207.87 [3849]E(f327(f327(f23(a915),f327(f327(f80(a915),x38491),x38492)),f327(f327(f80(a915),x38493),x38492)),f327(f327(f23(a915),x38491),x38493))
% 206.97/207.87 [3850]E(f327(f327(f23(a915),f327(f327(f80(a915),x38501),x38502)),f327(f327(f80(a915),x38501),x38503)),f327(f327(f23(a915),x38502),x38503))
% 206.97/207.87 [3856]E(f327(f327(f135(x38561),f327(f169(x38561),x38562)),f327(f327(f152(x38561),x38563),f114(x38561))),f327(f169(x38561),f327(f327(f152(x38561),x38563),x38562)))
% 206.97/207.87 [3858]E(f327(f327(f80(a915),f327(f191(f916(x38581)),x38582)),f327(f191(f916(x38581)),x38583)),f327(f191(f916(x38581)),f327(f327(f135(x38581),x38582),x38583)))
% 206.97/207.87 [3861]E(f327(f327(f80(a915),f327(f191(f916(x38611)),x38612)),f327(f191(f916(x38611)),x38613)),f327(f191(f916(x38611)),f174(x38611,x38612,x38613)))
% 206.97/207.87 [3868]E(f327(f327(f102(f922(x38681,a910)),f327(f173(x38681),x38682)),f327(f173(x38681),x38683)),f327(f173(x38681),f327(f327(f135(x38681),x38682),x38683)))
% 206.97/207.87 [3869]E(f46(a915,f327(f327(f81(a915),x38691),x38692),f327(f327(f81(a915),x38691),x38693)),f327(f327(f81(a915),x38691),f46(a915,x38692,x38693)))
% 206.97/207.87 [3881]E(f327(f327(f176(x38811),f327(f327(f23(a915),x38812),f78(a915))),f327(f172(x38811),x38813)),f327(f172(x38811),f327(f327(f176(x38811),x38812),x38813)))
% 206.97/207.87 [3886]E(f327(f327(f103(f922(x38861,a910)),x38862),f327(f79(f922(x38861,a910)),x38863)),f327(f327(f23(f922(x38861,a910)),x38862),x38863))
% 206.97/207.87 [3887]E(f327(f327(f23(f922(x38871,a910)),x38872),f327(f79(f922(x38871,a910)),x38873)),f327(f327(f103(f922(x38871,a910)),x38872),x38873))
% 206.97/207.87 [3910]E(f327(f327(f254(x39101,x39102),x39103),f327(f16(f922(x39102,a910),x39101),f190(f922(x39102,a910)))),f190(f922(f921(x39101,x39102),a910)))
% 206.97/207.87 [3912]E(f327(f327(f23(a915),f327(f327(f81(a915),x39121),x39122)),f327(f327(f81(a915),x39121),x39123)),f327(f327(f81(a915),x39121),f327(f327(f23(a915),x39122),x39123)))
% 206.97/207.87 [3913]E(f327(f327(f80(a915),f327(f327(f81(a915),x39131),x39132)),f327(f327(f81(a915),x39131),x39133)),f327(f327(f81(a915),x39131),f327(f327(f80(a915),x39132),x39133)))
% 206.97/207.87 [3914]E(f327(f327(f23(a1),f327(f327(f81(a1),x39141),x39142)),f327(f327(f81(a1),x39141),x39143)),f327(f327(f81(a1),x39141),f327(f327(f23(a1),x39142),x39143)))
% 206.97/207.87 [3915]E(f327(f327(f80(a1),f327(f327(f81(a1),x39151),x39152)),f327(f327(f81(a1),x39151),x39153)),f327(f327(f81(a1),x39151),f327(f327(f80(a1),x39152),x39153)))
% 206.97/207.87 [3916]E(f327(f327(f81(a1),f327(f327(f244(a1),x39161),x39162)),f327(f327(f244(a1),x39161),x39163)),f327(f327(f244(a1),x39161),f327(f327(f80(a915),x39162),x39163)))
% 206.97/207.87 [3930]E(f327(f327(f40(x39301,f922(x39302,a910)),x39303),f327(f16(f922(x39302,a910),x39301),f190(f922(x39302,a910)))),f190(f922(x39302,a910)))
% 206.97/207.87 [3932]E(f46(a915,f327(f327(f81(a915),x39321),x39322),f327(f327(f81(a915),x39323),x39322)),f327(f327(f81(a915),f46(a915,x39321,x39323)),x39322))
% 206.97/207.87 [3937]E(f46(a1,f327(f327(f23(a1),x39371),f46(a1,x39372,x39373)),x39373),f46(a1,f327(f327(f23(a1),x39371),x39372),x39373))
% 206.97/207.87 [3938]E(f46(a1,f327(f327(f81(a1),x39381),f46(a1,x39382,x39383)),x39383),f46(a1,f327(f327(f81(a1),x39381),x39382),x39383))
% 206.97/207.87 [3939]P1(f327(f327(f234(f922(x39391,a910)),x39392),f327(f327(f309(x39391),x39393),x39392)))
% 206.97/207.87 [4016]E(f327(f327(f41(f922(x40161,a910),f922(x40161,a910)),x40162),f327(f102(f922(x40161,a910)),x40163)),f327(f327(f102(f922(x40161,a910)),x40163),f39(f922(x40161,a910),x40162)))
% 206.97/207.87 [4017]E(f327(f327(f40(f922(x40171,a910),f922(x40171,a910)),x40172),f327(f103(f922(x40171,a910)),x40173)),f327(f327(f103(f922(x40171,a910)),x40173),f38(f922(x40171,a910),x40172)))
% 206.97/207.87 [4029]E(f327(f173(x40291),f327(f327(f327(f184(f916(x40291),f916(x40291)),x40292),f168(x40291)),x40293)),f327(f173(x40291),x40293))
% 206.97/207.87 [4033]E(f327(f327(f176(x40331),f327(f191(f916(x40331)),f178(x40331,x40332,x40333))),x40333),f178(x40331,x40332,x40333))
% 206.97/207.87 [4037]E(f327(f191(f916(x40371)),f327(f327(f327(f184(f916(x40371),f916(x40371)),x40372),f168(x40371)),x40373)),f327(f191(f916(x40371)),x40373))
% 206.97/207.87 [4040]E(f327(f327(f257(x40401,x40402,x40402),f327(f16(f922(x40402,x40402),x40401),f5(x40402))),x40403),f327(f256(x40401,x40402),x40403))
% 206.97/207.87 [4047]E(f46(a1,f327(f327(f23(a1),f46(a1,x40471,x40472)),x40473),x40472),f46(a1,f327(f327(f23(a1),x40471),x40473),x40472))
% 206.97/207.87 [4048]E(f46(a1,f327(f327(f244(a1),f46(a1,x40481,x40482)),x40483),x40482),f46(a1,f327(f327(f244(a1),x40481),x40483),x40482))
% 206.97/207.87 [4051]E(f327(f327(f40(f922(f921(x40511,x40512),a910),f922(x40512,a910)),x40513),f284(x40511,x40512)),f327(f284(x40511,x40512),f38(f922(f921(x40511,x40512),a910),x40513)))
% 206.97/207.87 [4052]E(f327(f327(f40(f922(f921(x40521,x40522),a910),f922(x40521,a910)),x40523),f264(x40521,x40522)),f327(f264(x40521,x40522),f38(f922(f921(x40521,x40522),a910),x40523)))
% 206.97/207.87 [4076]E(f327(f72(x40761,x40761,x40761,x40762),f327(f327(f184(x40761,x40761),x40763),x40762)),f327(f327(f184(x40761,x40761),f327(a113,x40763)),x40762))
% 206.97/207.87 [4094]E(f327(f327(f139(x40941),f327(f327(f23(a915),f327(f191(f916(x40941)),x40942)),x40943)),f327(f169(x40941),x40942)),f327(f169(x40941),f327(f327(f176(x40941),x40943),x40942)))
% 206.97/207.87 [4095]E(f327(f327(f176(x40951),f327(f327(f23(a915),f327(f191(f916(x40951)),x40952)),x40953)),f327(f169(x40951),x40952)),f327(f169(x40951),f327(f327(f139(x40951),x40953),x40952)))
% 206.97/207.87 [4097]E(f327(f327(f80(a915),f327(f166(a915),f327(f327(f155(x40971,a915),x40972),x40973))),f327(f191(f916(x40971)),x40973)),f156(x40971,x40972,x40973))
% 206.97/207.87 [4117]E(f327(f168(x41171),f327(f327(f327(f184(f916(x41171),f916(x41171)),x41172),f168(x41171)),x41173)),f327(f327(f327(f184(f916(x41171),f916(x41171)),f327(a113,x41172)),f168(x41171)),x41173))
% 206.97/207.87 [4131]P1(f327(f327(f234(a915),f327(f191(f916(x41311)),f327(f137(x41311,x41312),x41313))),f327(f191(f916(x41311)),x41313)))
% 206.97/207.87 [4147]E(f327(f327(f102(f922(f922(x41471,a910),a910)),f327(f308(x41471),x41472)),f327(f310(f922(x41471,a910),f922(x41471,a910),f327(f309(x41471),x41473)),f327(f308(x41471),x41472))),f327(f308(x41471),f327(f327(f309(x41471),x41473),x41472)))
% 206.97/207.87 [4166]P22(x41661,x41662,f327(f327(f309(f913(x41661)),f327(f327(f327(f91(x41661),x41663),a25),x41663)),f190(f922(f913(x41661),a910))))
% 206.97/207.87 [4181]P1(f327(f327(f234(a915),f327(f191(f916(x41811)),f178(x41811,x41812,x41813))),f327(f191(f916(x41811)),x41813)))
% 206.97/207.87 [4188]E(f327(f264(x41881,x41882),f327(f262(f921(x41881,x41882)),f327(f257(x41881,x41882,a910),x41883))),f327(f262(x41881),f327(f327(f8(f922(x41882,a910),a910,x41881),f87(x41882)),x41883)))
% 206.97/207.87 [4200]E(f327(f310(a915,a915,f327(f327(f7(a915,a915,a915),f80(a915)),x42001)),f303(a915,x42002,x42003)),f303(a915,f327(f327(f80(a915),x42002),x42001),f327(f327(f80(a915),x42003),x42001)))
% 206.97/207.87 [4214]E(f327(f310(a915,a915,f327(f327(f7(a915,a915,a915),f80(a915)),x42141)),f327(f302(a915,x42142),x42143)),f327(f302(a915,f327(f327(f80(a915),x42142),x42141)),f327(f327(f80(a915),x42143),x42141)))
% 206.97/207.87 [4232]E(f327(f327(f182(x42321,x42322),f327(f327(f155(f921(x42321,x42322),x42321),f251(x42321,x42322)),x42323)),f327(f327(f155(f921(x42321,x42322),x42322),f256(x42321,x42322)),x42323)),x42323)
% 206.97/207.87 [4237]E(f327(f327(f80(a915),f327(f327(f81(a915),x42371),f46(a915,f327(f327(f37(a915),x42372),x42371),x42373))),f46(a915,x42372,x42371)),f46(a915,x42372,f327(f327(f81(a915),x42371),x42373)))
% 206.97/207.87 [4250]E(f327(f327(f135(x42501),x42502),f327(f143(f916(x42501),f916(x42501),f135(x42501),f114(x42501)),x42503)),f327(f143(f916(x42501),f916(x42501),f135(x42501),x42502),x42503))
% 206.97/207.87 [4271]P1(f327(f327(f329(f921(x42711,x42711)),f327(f327(f252(x42711,x42711),x42712),x42712)),f327(f327(f184(f921(x42711,x42711),a910),f2(a915)),x42713)))
% 206.97/207.87 [4276]E(f327(f262(x42761),f327(f327(f8(f922(x42762,a910),a910,x42761),f87(x42762)),f327(f7(x42762,x42761,a910),x42763))),f327(f284(x42762,x42761),f327(f262(f921(x42762,x42761)),f327(f257(x42762,x42761,a910),x42763))))
% 206.97/207.87 [4293]E(f327(f327(f102(f922(x42931,a910)),f327(f327(f40(a915,f922(x42931,a910)),f303(a915,f78(a915),x42932)),x42933)),f327(x42933,f2(a915))),f327(f327(f40(a915,f922(x42931,a910)),f327(f301(a915),x42932)),x42933))
% 206.97/207.87 [4308]E(f327(f143(f916(x43081),f916(x43081),f135(x43081),f114(x43081)),f327(f327(f155(f916(x43081),f916(x43081)),f137(x43081,x43082)),x43083)),f327(f137(x43081,x43082),f327(f143(f916(x43081),f916(x43081),f135(x43081),f114(x43081)),x43083)))
% 206.97/207.87 [4312]E(f327(f256(f916(x43121),f916(x43121)),f167(x43121,x43122,x43123)),f327(f137(x43121,f327(f72(a910,a910,x43121,a322),x43122)),x43123))
% 206.97/207.87 [4357]E(f327(f327(f80(a1),f327(f327(f80(a1),f327(f327(f81(a1),x43571),f327(f327(f37(a1),x43572),x43571))),f46(a1,x43572,x43571))),x43573),f327(f327(f80(a1),x43572),x43573))
% 206.97/207.87 [4394]E(f327(f327(f80(a1),f327(f327(f80(a1),f327(f327(f81(a1),f327(f327(f37(a1),x43941),x43942)),x43942)),f46(a1,x43941,x43942))),x43943),f327(f327(f80(a1),x43941),x43943))
% 206.97/207.87 [4420]E(f85(f921(x44201,x44202),f327(f257(x44201,x44202,a910),f327(f327(f8(f922(x44202,f921(x44201,x44202)),f922(x44202,a910),x44201),f327(f8(f921(x44201,x44202),a910,x44202),x44203)),f252(x44201,x44202)))),f85(f921(x44201,x44202),x44203))
% 206.97/207.87 [4421]E(f90(f921(x44211,x44212),f327(f257(x44211,x44212,a910),f327(f327(f8(f922(x44212,f921(x44211,x44212)),f922(x44212,a910),x44211),f327(f8(f921(x44211,x44212),a910,x44212),x44213)),f252(x44211,x44212)))),f90(f921(x44211,x44212),x44213))
% 206.97/207.87 [4448]P1(f327(f327(f234(f922(x44481,a910)),f38(f922(x44481,a910),f327(f327(f103(f922(f922(x44481,a910),a910)),x44482),x44483))),f327(f327(f103(f922(x44481,a910)),f38(f922(x44481,a910),x44482)),f38(f922(x44481,a910),x44483))))
% 206.97/207.87 [4449]E(f327(f169(x44491),f327(f327(f327(f184(f916(x44491),f916(x44491)),f327(f327(f23(a915),f327(f191(f916(x44491)),x44492)),f46(a915,x44493,f327(f191(f916(x44491)),x44492)))),f168(x44491)),x44492)),f327(f327(f327(f184(f916(x44491),f916(x44491)),x44493),f168(x44491)),f327(f169(x44491),x44492)))
% 206.97/207.87 [4486]P1(f327(f327(f234(a915),f327(f191(f916(x44861)),f327(f327(f139(x44861),f327(f191(f916(x44861)),f178(x44861,x44862,x44863))),x44863))),f327(f191(f916(x44861)),x44863)))
% 206.97/207.87 [4725]~P1(f327(f62(x47251,x47252,f190(f922(x47251,a910))),x47253))
% 206.97/207.87 [4730]~P1(f327(f327(f329(f921(x47301,x47301)),f327(f327(f252(x47301,x47301),x47302),x47303)),f154(x47301,f114(f922(x47301,a915)))))
% 206.97/207.87 [3797]E(f327(f191(f916(x37971)),f327(f327(f176(x37971),x37972),x37973)),f327(f327(f238(a915),f327(f191(f916(x37971)),x37973)),x37972))
% 206.97/207.87 [3798]E(f327(f191(f916(x37981)),f327(f327(f139(x37981),x37982),x37983)),f327(f327(f23(a915),f327(f191(f916(x37981)),x37983)),x37982))
% 206.97/207.87 [3824]E(f327(f191(f916(f916(x38241))),f56(x38241,x38242,x38243)),f327(f327(f244(a915),f327(f191(f916(x38241)),x38243)),x38242))
% 206.97/207.87 [3842]E(f327(f327(f37(a915),f327(f327(f37(a915),x38421),x38422)),x38423),f327(f327(f37(a915),x38421),f327(f327(f81(a915),x38422),x38423)))
% 206.97/207.87 [3843]E(f327(f327(f23(a915),f327(f327(f23(a915),x38431),x38432)),x38433),f327(f327(f23(a915),x38431),f327(f327(f80(a915),x38432),x38433)))
% 206.97/207.87 [3844]E(f327(f327(f80(a915),f327(f327(f80(a915),x38441),x38442)),x38443),f327(f327(f80(a915),x38441),f327(f327(f80(a915),x38442),x38443)))
% 206.97/207.87 [3845]E(f327(f327(f80(a1),f327(f327(f80(a1),x38451),x38452)),x38453),f327(f327(f80(a1),x38451),f327(f327(f80(a1),x38452),x38453)))
% 206.97/207.87 [3846]E(f327(f327(f81(a915),f327(f327(f81(a915),x38461),x38462)),x38463),f327(f327(f81(a915),x38461),f327(f327(f81(a915),x38462),x38463)))
% 206.97/207.87 [3847]E(f327(f327(f81(a1),f327(f327(f81(a1),x38471),x38472)),x38473),f327(f327(f81(a1),x38471),f327(f327(f81(a1),x38472),x38473)))
% 206.97/207.87 [3848]E(f327(f327(f244(a1),f327(f327(f244(a1),x38481),x38482)),x38483),f327(f327(f244(a1),x38481),f327(f327(f81(a915),x38482),x38483)))
% 206.97/207.87 [3867]E(f163(x38671,f327(f327(f152(f922(x38671,a910)),x38672),x38673)),f175(x38671,x38672,f163(x38671,x38673)))
% 206.97/207.87 [3911]E(f327(f327(f23(a915),f327(f327(f23(a915),x39111),x39112)),x39113),f327(f327(f23(a915),f327(f327(f23(a915),x39111),x39113)),x39112))
% 206.97/207.87 [3919]E(f327(f327(f103(f922(x39191,a910)),x39192),f327(f327(f23(f922(x39191,a910)),x39193),x39192)),f190(f922(x39191,a910)))
% 206.97/207.87 [3923]E(f327(f327(f155(a915,x39231),f327(f16(x39231,a915),x39232)),f140(a915,f327(f302(a915,f2(a915)),x39233))),f170(x39231,x39233,x39232))
% 206.97/207.87 [3961]E(f39(f922(x39611,a910),f327(f327(f309(f922(x39611,a910)),x39612),x39613)),f327(f327(f103(f922(x39611,a910)),x39612),f39(f922(x39611,a910),x39613)))
% 206.97/207.87 [3962]E(f38(f922(x39621,a910),f327(f327(f309(f922(x39621,a910)),x39622),x39623)),f327(f327(f102(f922(x39621,a910)),x39622),f38(f922(x39621,a910),x39623)))
% 206.97/207.87 [3964]E(f170(x39641,f327(f191(f916(x39641)),f327(f137(x39641,f327(a324,x39642)),x39643)),x39642),f327(f137(x39641,f327(a324,x39642)),x39643))
% 206.97/207.87 [3966]E(f327(f327(f23(a915),f327(f327(f81(a915),x39661),x39662)),f327(f327(f81(a915),x39663),x39662)),f327(f327(f81(a915),f327(f327(f23(a915),x39661),x39663)),x39662))
% 206.97/207.87 [3967]E(f327(f327(f80(a915),f327(f327(f81(a915),x39671),x39672)),f327(f327(f81(a915),x39673),x39672)),f327(f327(f81(a915),f327(f327(f80(a915),x39671),x39673)),x39672))
% 206.97/207.87 [3968]E(f327(f327(f23(a1),f327(f327(f81(a1),x39681),x39682)),f327(f327(f81(a1),x39683),x39682)),f327(f327(f81(a1),f327(f327(f23(a1),x39681),x39683)),x39682))
% 206.97/207.87 [3969]E(f327(f327(f80(a1),f327(f327(f81(a1),x39691),x39692)),f327(f327(f81(a1),x39693),x39692)),f327(f327(f81(a1),f327(f327(f80(a1),x39691),x39693)),x39692))
% 206.97/207.87 [3971]E(f327(f327(f238(a915),f327(f327(f23(a915),x39711),x39712)),f327(f327(f23(a915),x39713),x39712)),f327(f327(f23(a915),f327(f327(f238(a915),x39711),x39713)),x39712))
% 206.97/207.87 [3993]E(f327(f327(f103(f922(f916(x39931),a910)),f161(x39931,x39932)),f161(x39931,x39933)),f161(x39931,f327(f327(f103(f922(x39931,a910)),x39932),x39933)))
% 206.97/207.87 [3996]E(f327(f327(f102(f922(x39961,a910)),x39962),f327(f327(f23(f922(x39961,a910)),x39963),x39962)),f327(f327(f102(f922(x39961,a910)),x39962),x39963))
% 206.97/207.87 [3997]E(f327(f327(f102(f922(x39971,a910)),x39972),f327(f327(f102(f922(x39971,a910)),x39972),x39973)),f327(f327(f102(f922(x39971,a910)),x39972),x39973))
% 206.97/207.87 [3998]E(f327(f327(f103(f922(x39981,a910)),x39982),f327(f327(f103(f922(x39981,a910)),x39982),x39983)),f327(f327(f103(f922(x39981,a910)),x39982),x39983))
% 206.97/207.87 [4010]E(f327(f327(f289(x40101,x40102,x40102),x40103),f307(x40102,f190(f922(f921(x40102,x40102),a910)))),x40103)
% 206.97/207.87 [4013]E(f327(f327(f102(f922(x40131,a910)),f327(f327(f309(x40131),x40132),f190(f922(x40131,a910)))),x40133),f327(f327(f309(x40131),x40132),x40133))
% 206.97/207.87 [4032]E(f327(f327(f23(a915),f327(f327(f23(a915),f327(a113,x40321)),x40322)),f327(a113,x40323)),f327(f327(f23(a915),f327(f327(f23(a915),x40321),x40322)),x40323))
% 206.97/207.87 [4060]E(f327(f327(f103(f922(f922(x40601,a910),a910)),f327(f308(x40601),x40602)),f327(f308(x40601),x40603)),f327(f308(x40601),f327(f327(f103(f922(x40601,a910)),x40602),x40603)))
% 206.97/207.87 [4063]E(f327(f327(f102(f922(x40631,a910)),f327(f79(f922(x40631,a910)),x40632)),x40633),f327(f79(f922(x40631,a910)),f327(f327(f23(f922(x40631,a910)),x40632),x40633)))
% 206.97/207.87 [4073]E(f327(f327(f309(x40731),x40732),f327(f327(f23(f922(x40731,a910)),x40733),f327(f327(f309(x40731),x40732),f190(f922(x40731,a910))))),f327(f327(f309(x40731),x40732),x40733))
% 206.97/207.87 [4083]P1(f327(f327(f234(f922(x40831,a910)),x40832),f327(f327(f102(f922(x40831,a910)),x40833),x40832)))
% 206.97/207.87 [4084]P1(f327(f327(f234(f922(x40841,a910)),x40842),f327(f327(f102(f922(x40841,a910)),x40842),x40843)))
% 206.97/207.87 [4088]E(f327(f327(f103(f922(x40881,a910)),f327(f79(f922(x40881,a910)),x40882)),f327(f79(f922(x40881,a910)),x40883)),f327(f79(f922(x40881,a910)),f327(f327(f102(f922(x40881,a910)),x40882),x40883)))
% 206.97/207.87 [4089]E(f327(f327(f102(f922(x40891,a910)),f327(f79(f922(x40891,a910)),x40892)),f327(f79(f922(x40891,a910)),x40893)),f327(f79(f922(x40891,a910)),f327(f327(f103(f922(x40891,a910)),x40892),x40893)))
% 206.97/207.87 [4103]P1(f327(f327(f234(f922(x41031,a910)),f327(f173(x41031),x41032)),f327(f173(x41031),f327(f327(f152(x41031),x41033),x41032))))
% 206.97/207.87 [4115]E(f327(f327(f102(f922(x41151,a910)),f327(f327(f23(f922(x41151,a910)),x41152),x41153)),f327(f327(f103(f922(x41151,a910)),x41152),x41153)),x41152)
% 206.97/207.87 [4168]E(f327(f327(f6(x41681,a1),f327(f327(f8(a915,a1,x41681),f101(a1)),x41682)),x41683),f327(f101(a1),f327(f327(f6(x41681,a915),x41682),x41683)))
% 206.97/207.87 [4169]E(f327(f327(f9(x41691,a1),f327(f327(f8(a915,a1,x41691),f101(a1)),x41692)),x41693),f327(f101(a1),f327(f327(f9(x41691,a915),x41692),x41693)))
% 206.97/207.87 [4216]E(f327(f327(f135(x42161),f178(x42161,x42162,x42163)),f327(f327(f139(x42161),f327(f191(f916(x42161)),f178(x42161,x42162,x42163))),x42163)),x42163)
% 206.97/207.87 [4220]E(f327(f79(f922(f921(x42201,x42202),a910)),f327(f327(f254(x42201,x42202),x42203),f327(f16(f922(x42202,a910),x42201),f242(f922(x42202,a910))))),f327(f327(f254(x42201,x42202),f327(f79(f922(x42201,a910)),x42203)),f327(f16(f922(x42202,a910),x42201),f242(f922(x42202,a910)))))
% 206.97/207.87 [4221]E(f327(f79(f922(f921(x42211,x42212),a910)),f327(f327(f254(x42211,x42212),f242(f922(x42211,a910))),f327(f16(f922(x42212,a910),x42211),x42213))),f327(f327(f254(x42211,x42212),f242(f922(x42211,a910))),f327(f16(f922(x42212,a910),x42211),f327(f79(f922(x42212,a910)),x42213))))
% 206.97/207.87 [4272]E(f327(f327(f40(f922(x42721,a910),f922(x42721,a910)),x42722),f327(f327(f7(f922(x42721,a910),f922(x42721,a910),f922(x42721,a910)),f103(f922(x42721,a910))),x42723)),f327(f327(f103(f922(x42721,a910)),f38(f922(x42721,a910),x42722)),x42723))
% 206.97/207.87 [4278]E(f327(f143(f916(x42781),f916(x42781),f135(x42781),f114(x42781)),f327(f327(f152(f916(x42781)),x42782),x42783)),f327(f327(f135(x42781),x42782),f327(f143(f916(x42781),f916(x42781),f135(x42781),f114(x42781)),x42783)))
% 206.97/207.87 [4299]E(f327(f327(f309(f922(x42991,a910)),f327(f285(x42991,x42991,x42992),f327(f327(f309(x42991),x42993),f190(f922(x42991,a910))))),f190(f922(f922(x42991,a910),a910))),f327(f327(f61(x42991),f327(f327(f309(x42991),x42993),f190(f922(x42991,a910)))),x42992))
% 206.97/207.87 [4309]E(f327(f327(f80(a915),f327(f327(f81(a915),x43091),f327(f327(f37(a915),x43092),x43093))),f327(f327(f37(a915),f327(f327(f81(a915),x43091),f46(a915,x43092,x43093))),x43093)),f327(f327(f37(a915),f327(f327(f81(a915),x43091),x43092)),x43093))
% 206.97/207.87 [4310]E(f327(f327(f80(a1),f327(f327(f81(a1),x43101),f327(f327(f37(a1),x43102),x43103))),f327(f327(f37(a1),f327(f327(f81(a1),x43101),f46(a1,x43102,x43103))),x43103)),f327(f327(f37(a1),f327(f327(f81(a1),x43101),x43102)),x43103))
% 206.97/207.87 [4342]E(f327(f327(f23(f922(x43421,a910)),f327(f173(x43421),x43422)),f327(f327(f309(x43421),x43423),f190(f922(x43421,a910)))),f327(f173(x43421),f327(f137(x43421,f327(f327(f8(a910,a910,x43421),a322),f327(a324,x43423))),x43422)))
% 206.97/207.87 [4392]E(f327(f327(f135(x43921),f327(f143(f916(x43921),f916(x43921),f135(x43921),f114(x43921)),x43922)),f327(f143(f916(x43921),f916(x43921),f135(x43921),f114(x43921)),x43923)),f327(f143(f916(x43921),f916(x43921),f135(x43921),f114(x43921)),f327(f327(f135(f916(x43921)),x43922),x43923)))
% 206.97/207.87 [4395]E(f327(f327(f252(f916(x43951),f916(x43951)),f327(f137(x43951,x43952),x43953)),f327(f137(x43951,f327(f72(a910,a910,x43951,a322),x43952)),x43953)),f167(x43951,x43952,x43953))
% 206.97/207.87 [4398]E(f327(f327(f80(a915),f327(f327(f80(a915),f327(f327(f37(a915),x43981),x43982)),f327(f327(f37(a915),x43983),x43982))),f327(f327(f37(a915),f327(f327(f80(a915),f46(a915,x43981,x43982)),f46(a915,x43983,x43982))),x43982)),f327(f327(f37(a915),f327(f327(f80(a915),x43981),x43983)),x43982))
% 206.97/207.87 [4399]E(f327(f327(f80(a1),f327(f327(f80(a1),f327(f327(f37(a1),x43991),x43992)),f327(f327(f37(a1),x43993),x43992))),f327(f327(f37(a1),f327(f327(f80(a1),f46(a1,x43991,x43992)),f46(a1,x43993,x43992))),x43992)),f327(f327(f37(a1),f327(f327(f80(a1),x43991),x43993)),x43992))
% 206.97/207.87 [4452]E(f327(f327(f103(f922(f916(x44521),a910)),f327(f327(f7(f916(x44521),f922(f916(x44521),a910),a910),f329(f916(x44521))),f162(x44521,x44522))),f327(f327(f7(f916(x44521),f922(f916(x44521),a910),a910),f329(f916(x44521))),f162(x44521,x44523))),f161(x44521,f327(f327(f103(f922(x44521,a910)),f327(f327(f7(x44521,f922(x44521,a910),a910),f329(x44521)),x44522)),f327(f327(f7(x44521,f922(x44521,a910),a910),f329(x44521)),x44523))))
% 206.97/207.87 [4464]E(f327(f262(x44641),f327(f327(f18(x44641,a910,a910),f327(f327(f8(a910,f922(a910,a910),x44641),a326),f327(f327(f7(x44641,x44641,a910),a324),x44642))),f327(f327(f7(x44641,f922(x44641,a910),a910),f329(x44641)),x44643))),f327(f327(f309(x44641),x44642),x44643))
% 206.97/207.87 [4484]E(f327(f327(f86(f916(f916(x44841)),f916(f916(x44841))),f55(x44841,x44842)),f327(f327(f18(f916(f916(x44841)),f916(f916(x44841)),f916(f916(x44841))),f327(f327(f8(f916(f916(x44841)),f922(f916(f916(x44841)),f916(f916(x44841))),f916(f916(x44841))),f135(f916(x44841))),f327(f155(f916(x44841),f916(x44841)),f327(f152(x44841),x44843)))),f5(f916(f916(x44841))))),f55(x44841,f327(f327(f152(x44841),x44843),x44842)))
% 206.97/207.87 [4487]E(f327(f262(x44871),f327(f327(f18(x44871,a910,a910),f327(f327(f8(a910,f922(a910,a910),x44871),a326),f327(f327(f7(x44871,f922(x44871,a910),a910),f329(x44871)),x44872))),f327(f327(f7(x44871,f922(x44871,a910),a910),f329(x44871)),x44873))),f327(f327(f102(f922(x44871,a910)),x44872),x44873))
% 206.97/207.87 [4488]E(f327(f262(x44881),f327(f327(f18(x44881,a910,a910),f327(f327(f8(a910,f922(a910,a910),x44881),a325),f327(f327(f7(x44881,f922(x44881,a910),a910),f329(x44881)),x44882))),f327(f327(f7(x44881,f922(x44881,a910),a910),f329(x44881)),x44883))),f327(f327(f103(f922(x44881,a910)),x44882),x44883))
% 206.97/207.87 [4577]E(f327(f327(f40(x45771,f922(f922(x45771,a910),a910)),x45772),f327(f327(f7(x45771,f922(f922(x45771,a910),a910),f922(f922(x45771,a910),a910)),f327(f327(f8(f922(x45771,a910),f922(f922(f922(x45771,a910),a910),f922(f922(x45771,a910),a910)),x45771),f309(f922(x45771,a910))),f327(f327(f8(f922(x45771,a910),f922(x45771,a910),x45771),f285(x45771,x45771,x45773)),f327(f327(f7(x45771,f922(x45771,a910),f922(x45771,a910)),f309(x45771)),f190(f922(x45771,a910)))))),f190(f922(f922(x45771,a910),a910)))),f327(f327(f61(x45771),x45772),x45773))
% 206.97/207.87 [4579]E(f327(f327(f203(x45791),f327(f327(f81(a1),f327(f327(f72(f921(a1,a1),a1,x45791,f251(a1,a1)),f214(x45791)),x45792)),f327(f327(f72(f921(a1,a1),a1,x45791,f251(a1,a1)),f214(x45791)),x45793))),f327(f327(f81(a1),f327(f327(f72(f921(a1,a1),a1,x45791,f256(a1,a1)),f214(x45791)),x45792)),f327(f327(f72(f921(a1,a1),a1,x45791,f256(a1,a1)),f214(x45791)),x45793))),f230(x45791,x45792,x45793))
% 206.97/207.87 [4582]E(f327(f262(f916(x45821)),f327(f327(f18(f916(x45821),a910,a910),f327(f327(f8(a910,f922(a910,a910),f916(x45821)),a325),f327(f327(f7(f916(x45821),a915,a910),f327(f327(f8(a915,f922(a915,a910),f916(x45821)),a324),f191(f916(x45821)))),x45822))),f327(f327(f7(f916(x45821),f922(x45821,a910),a910),f327(f327(f8(f922(x45821,a910),f922(f922(x45821,a910),a910),f916(x45821)),f234(f922(x45821,a910))),f173(x45821))),f327(f173(x45821),x45823)))),f327(f173(f916(x45821)),f56(x45821,x45822,x45823)))
% 206.97/207.87 [3984]E(f46(a915,f327(f327(f80(a915),f327(f327(f81(a915),x39841),x39842)),x39843),x39842),f46(a915,x39843,x39842))
% 206.97/207.87 [4031]E(f140(a915,f327(f302(a915,f327(f327(f80(a915),x40311),x40312)),x40313)),f327(f327(f139(a915),x40312),f140(a915,f327(f302(a915,x40311),x40313))))
% 206.97/207.87 [4072]E(f327(f327(f80(a1),f327(f101(a1),x40721)),f327(f327(f80(a1),f327(f101(a1),x40722)),x40723)),f327(f327(f80(a1),f327(f101(a1),f327(f327(f80(a915),x40721),x40722))),x40723))
% 206.97/207.87 [4079]E(f327(f327(f23(f922(x40791,a910)),f327(f327(f23(f922(x40791,a910)),x40792),x40793)),x40793),f327(f327(f23(f922(x40791,a910)),x40792),x40793))
% 206.97/207.87 [4080]E(f327(f327(f102(f922(x40801,a910)),f327(f327(f23(f922(x40801,a910)),x40802),x40803)),x40803),f327(f327(f102(f922(x40801,a910)),x40802),x40803))
% 206.97/207.87 [4104]E(f327(f327(f289(x41041,x41041,x41042),f307(x41041,f190(f922(f921(x41041,x41041),a910)))),x41043),x41043)
% 206.97/207.87 [4112]E(f327(f327(f102(f922(x41121,a910)),f327(f281(x41121),x41122)),f327(f281(x41121),x41123)),f327(f281(x41121),f327(f327(f102(f922(f921(x41121,x41121),a910)),x41122),x41123)))
% 206.97/207.87 [4122]E(f266(x41221,f327(f327(f152(f921(a100,x41221)),f327(f327(f252(a100,x41221),f2(a100)),x41222)),x41223)),f266(x41221,x41223))
% 206.97/207.87 [4124]E(f327(f327(f103(f922(x41241,a910)),f39(f922(x41241,a910),x41242)),f39(f922(x41241,a910),x41243)),f39(f922(x41241,a910),f327(f327(f102(f922(f922(x41241,a910),a910)),x41242),x41243)))
% 206.97/207.87 [4125]E(f327(f327(f102(f922(x41251,a910)),f38(f922(x41251,a910),x41252)),f38(f922(x41251,a910),x41253)),f38(f922(x41251,a910),f327(f327(f102(f922(f922(x41251,a910),a910)),x41252),x41253)))
% 206.97/207.87 [4162]E(f327(f327(f289(x41621,x41621,x41621),f327(f327(f184(f921(x41621,x41621),a910),x41622),x41623)),x41623),f327(f327(f184(f921(x41621,x41621),a910),f327(a113,x41622)),x41623))
% 206.97/207.87 [4208]P1(f327(f327(f234(f922(x42081,a910)),f327(f327(f23(f922(x42081,a910)),x42082),x42083)),x42082))
% 206.97/207.87 [4209]P1(f327(f327(f234(f922(x42091,a910)),f327(f327(f103(f922(x42091,a910)),x42092),x42093)),x42093))
% 206.97/207.87 [4210]P1(f327(f327(f234(f922(x42101,a910)),f327(f327(f103(f922(x42101,a910)),x42102),x42103)),x42102))
% 206.97/207.87 [4234]E(f307(x42341,f327(f327(f102(f922(f921(x42341,x42341),a910)),f307(x42341,x42342)),f307(x42341,x42343))),f307(x42341,f327(f327(f102(f922(f921(x42341,x42341),a910)),x42342),x42343)))
% 206.97/207.87 [4238]E(f38(f922(x42381,a910),f327(f327(f309(f922(x42381,a910)),x42382),f327(f327(f309(f922(x42381,a910)),x42383),f190(f922(f922(x42381,a910),a910))))),f327(f327(f102(f922(x42381,a910)),x42382),x42383))
% 206.97/207.87 [4239]E(f39(f922(x42391,a910),f327(f327(f309(f922(x42391,a910)),x42392),f327(f327(f309(f922(x42391,a910)),x42393),f190(f922(f922(x42391,a910),a910))))),f327(f327(f103(f922(x42391,a910)),x42392),x42393))
% 206.97/207.87 [4244]E(f327(f327(f289(x42441,x42441,x42441),f327(f327(f184(f921(x42441,x42441),a910),x42442),x42443)),x42443),f327(f327(f289(x42441,x42441,x42441),x42443),f327(f327(f184(f921(x42441,x42441),a910),x42442),x42443)))
% 206.97/207.87 [4313]E(f327(f327(f102(f922(x43131,a910)),f327(f262(x43131),f327(f327(f7(x43131,x43131,a910),a324),x43132))),x43133),f327(f327(f309(x43131),x43132),x43133))
% 206.97/207.87 [4315]E(f327(a106,f327(f327(f6(x43151,a1),f327(f327(f8(a915,a1,x43151),f101(a1)),x43152)),x43153)),f327(f327(f6(x43151,a915),x43152),x43153))
% 206.97/207.87 [4316]E(f327(a106,f327(f327(f9(x43161,a1),f327(f327(f8(a915,a1,x43161),f101(a1)),x43162)),x43163)),f327(f327(f9(x43161,a915),x43162),x43163))
% 206.97/207.87 [4389]E(f327(f157(f916(x43891),x43891,f327(f172(x43891),x43892),f327(f16(f922(f916(x43891),f916(x43891)),x43891),f327(f327(f7(f916(x43891),f916(x43891),f916(x43891)),f135(x43891)),x43892))),x43893),f327(f172(x43891),f327(f327(f135(x43891),x43893),x43892)))
% 206.97/207.87 [4417]P1(f327(f327(f234(f922(f922(x44171,a910),a910)),f327(f327(f102(f922(f922(x44171,a910),a910)),f327(f308(x44171),x44172)),f327(f308(x44171),x44173))),f327(f308(x44171),f327(f327(f102(f922(x44171,a910)),x44172),x44173))))
% 206.97/207.87 [4506]E(f327(f262(x45061),f327(f327(f18(x45061,a910,a910),f327(f327(f8(a910,f922(a910,a910),x45061),a325),f327(f327(f7(x45061,f922(x45061,a910),a910),f329(x45061)),x45062))),f327(f327(f8(a910,a910,x45061),a322),f327(f327(f7(x45061,f922(x45061,a910),a910),f329(x45061)),x45063)))),f327(f327(f23(f922(x45061,a910)),x45062),x45063))
% 206.97/207.87 [4530]E(f327(f36(a915),f327(f262(a915),f327(f327(f18(a915,a910,a910),f327(f327(f8(a910,f922(a910,a910),a915),a325),f327(f327(f7(a915,a915,a910),f235(a915)),f327(f191(f916(x45301)),x45302)))),f327(f327(f8(x45301,a910,a915),x45303),f327(f165(x45301),x45302))))),f327(f191(f916(x45301)),f327(f137(x45301,x45303),x45302)))
% 206.97/207.87 [4532]E(f327(f191(f916(x45321)),f177(x45321,x45322,x45323)),f327(f36(a915),f327(f262(a915),f327(f327(f18(a915,a910,a910),f327(f327(f8(a910,f922(a910,a910),a915),a325),f327(f327(f7(a915,a915,a910),f235(a915)),f327(f191(f916(x45321)),x45322)))),f327(f327(f7(a915,f922(a915,a910),a910),f329(a915)),x45323)))))
% 206.97/207.87 [4629]E(f327(f327(f103(f922(f921(f916(x46291),f916(x46291)),a910)),f327(f310(f921(f921(x46291,f916(x46291)),f921(x46291,f916(x46291))),f921(f916(x46291),f916(x46291)),f258(f921(x46291,f916(x46291)),f916(x46291),f921(x46291,f916(x46291)),f916(x46291),f327(f257(x46291,f916(x46291),f916(x46291)),f152(x46291)),f327(f257(x46291,f916(x46291),f916(x46291)),f152(x46291)))),f320(x46291,f916(x46291),x46292,f327(f144(x46291,x46292),x46293)))),f327(f262(f921(f916(x46291),f916(x46291))),f327(f257(f916(x46291),f916(x46291),a910),f327(f327(f7(f916(x46291),f922(f916(x46291),a910),f922(f916(x46291),a910)),f327(f327(f8(f922(a910,a910),f922(f922(f916(x46291),a910),f922(f916(x46291),a910)),f916(x46291)),f8(a910,a910,f916(x46291))),f327(f327(f8(a910,f922(a910,a910),f916(x46291)),a325),f327(f327(f7(f916(x46291),a915,a910),f327(f327(f8(a915,f922(a915,a910),f916(x46291)),a324),f191(f916(x46291)))),f327(a113,x46293))))),f327(f327(f7(f916(x46291),a915,a910),f327(f327(f8(a915,f922(a915,a910),f916(x46291)),a324),f191(f916(x46291)))),f327(a113,x46293)))))),f327(f144(x46291,x46292),f327(a113,x46293)))
% 206.97/207.87 [4126]E(f46(a915,f327(a113,f327(f327(f80(a915),f327(f327(f81(a915),x41261),x41262)),x41263)),x41262),f46(a915,f327(a113,x41263),x41262))
% 206.97/207.87 [4375]E(f327(f262(x43751),f327(f327(f18(x43751,a910,a910),f327(f327(f8(a910,f922(a910,a910),x43751),a325),x43752)),x43753)),f327(f327(f103(f922(x43751,a910)),f327(f262(x43751),x43752)),f327(f262(x43751),x43753)))
% 206.97/207.87 [4376]E(f327(f262(x43761),f327(f327(f18(x43761,a910,a910),f327(f327(f8(a910,f922(a910,a910),x43761),a326),x43762)),x43763)),f327(f327(f102(f922(x43761,a910)),f327(f262(x43761),x43762)),f327(f262(x43761),x43763)))
% 206.97/207.87 [4378]E(f327(f327(f135(x43781),f327(f327(f139(x43781),f46(a915,x43782,f327(f191(f916(x43781)),x43783))),x43783)),f327(f327(f176(x43781),f46(a915,x43782,f327(f191(f916(x43781)),x43783))),x43783)),f327(f327(f327(f184(f916(x43781),f916(x43781)),x43782),f168(x43781)),x43783))
% 206.97/207.87 [4384]E(f327(f262(x43841),f327(f327(f18(x43841,a910,a910),f327(f327(f8(a910,f922(a910,a910),x43841),a330),x43842)),x43843)),f327(f327(f102(f922(x43841,a910)),f327(f79(f922(x43841,a910)),f327(f262(x43841),x43842))),f327(f262(x43841),x43843)))
% 206.97/207.87 [4400]E(f327(f327(f80(a915),f327(f191(f916(x44001)),f327(f137(x44001,x44002),x44003))),f327(f191(f916(x44001)),f327(f137(x44001,f327(f327(f8(a910,a910,x44001),a322),x44002)),x44003))),f327(f191(f916(x44001)),x44003))
% 206.97/207.87 [4423]P1(f327(f327(f234(f922(x44231,a910)),f327(f327(f102(f922(x44231,a910)),f39(f922(x44231,a910),x44232)),f39(f922(x44231,a910),x44233))),f39(f922(x44231,a910),f327(f327(f103(f922(f922(x44231,a910),a910)),x44232),x44233))))
% 206.97/207.87 [4437]E(f327(f173(x44371),f327(f137(x44371,f327(f327(f8(a910,a910,x44371),a322),f327(f327(f7(x44371,x44371,a910),a324),x44372))),x44373)),f327(f327(f23(f922(x44371,a910)),f327(f173(x44371),x44373)),f327(f327(f309(x44371),x44372),f190(f922(x44371,a910)))))
% 206.97/207.87 [4446]P1(f327(f327(f234(f922(f921(x44461,x44461),a910)),f327(f327(f102(f922(f921(x44461,x44461),a910)),f307(x44461,x44462)),f307(x44461,x44463))),f307(x44461,f327(f327(f102(f922(f921(x44461,x44461),a910)),x44462),x44463))))
% 206.97/207.87 [4469]E(f327(f327(f81(a915),f327(a113,f327(a113,f2(a915)))),f327(f327(f6(a915,a915),f327(f327(f8(a915,a915,a915),f327(f80(a915),x44691)),f327(f327(f7(a915,a915,a915),f81(a915)),x44692))),f327(f282(a915),x44693))),f327(f327(f81(a915),x44693),f327(f327(f80(a915),x44691),f327(f327(f80(a915),x44691),f327(f327(f81(a915),f327(f327(f23(a915),x44693),f78(a915))),x44692)))))
% 206.97/207.87 [4479]E(f327(f262(x44791),f327(f327(f18(x44791,a910,a910),f327(f327(f8(a910,f922(a910,a910),x44791),a325),f327(f327(f7(x44791,f922(x44791,a910),a910),f329(x44791)),f327(f173(x44791),x44792)))),x44793)),f327(f173(x44791),f327(f137(x44791,x44793),x44792)))
% 206.97/207.87 [4628]E(f327(f262(x46281),f327(f327(f8(f922(a915,a910),a910,x46281),f87(a915)),f327(f327(f7(x46281,f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),x46281),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),x46281),f327(f8(a910,f922(a910,a910),a915),a325)),f327(f327(f7(x46281,f922(a915,x46281),f922(a915,a910)),f327(f327(f8(f922(x46281,a910),f922(f922(a915,x46281),f922(a915,a910)),x46281),f8(x46281,a910,a915)),a324)),f327(f165(x46281),x46282))))),f327(f327(f18(a915,a910,a910),f327(f327(f8(a910,f922(a910,a910),a915),a325),f327(f327(f7(a915,a915,a910),f235(a915)),f327(f191(f916(x46281)),x46282)))),f327(f327(f7(a915,f922(a915,a910),a910),f329(a915)),x46283))))),f327(f173(x46281),f177(x46281,x46282,x46283)))
% 206.97/207.87 [4519]E(f327(f262(x45191),f327(f327(f18(x45191,a910,a910),f327(f327(f8(a910,f922(a910,a910),x45191),a330),f327(f327(f8(a910,a910,x45191),a322),f327(f327(f7(x45191,x45191,a910),a324),x45192)))),x45193)),f327(f327(f309(x45191),x45192),f327(f262(x45191),x45193)))
% 206.97/207.87 [4551]E(f327(f327(f155(f921(x45511,a915),x45511),f251(x45511,a915)),f327(f137(f921(x45511,a915),f327(f327(f7(f921(x45511,a915),f922(a915,a910),a910),f327(f327(f8(a915,f922(f922(a915,a910),a910),f921(x45511,a915)),f329(a915)),f256(x45511,a915))),x45512)),f327(f327(f182(x45511,a915),x45513),f140(a915,f327(f302(a915,f2(a915)),f327(f191(f916(x45511)),x45513)))))),f177(x45511,x45513,x45512))
% 206.97/207.87 [4578]E(f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f327(f6(a915,a1),f327(f327(f8(a1,a1,a915),f327(f80(a1),x45781)),f327(f327(f7(a915,a1,a1),f327(f327(f8(a1,f922(a1,a1),a915),f81(a1)),f101(a1))),x45782))),f327(f282(a915),x45783))),f327(f327(f81(a1),f327(f101(a1),x45783)),f327(f327(f80(a1),x45781),f327(f327(f80(a1),x45781),f327(f327(f81(a1),f327(f101(a1),f327(f327(f23(a915),x45783),f78(a915)))),x45782)))))
% 206.97/207.87 [4620]E(f327(f262(f921(x46201,x46202)),f327(f257(x46201,x46202,a910),f327(f327(f7(x46201,f922(f921(x46202,x46201),a910),f922(x46202,a910)),f327(f327(f8(f922(x46202,f922(f922(f921(x46202,x46201),a910),a910)),f922(f922(f921(x46202,x46201),a910),f922(x46202,a910)),x46201),f7(x46202,f922(f921(x46202,x46201),a910),a910)),f327(f327(f8(f922(x46202,f921(x46202,x46201)),f922(x46202,f922(f922(f921(x46202,x46201),a910),a910)),x46201),f327(f8(f921(x46202,x46201),f922(f922(f921(x46202,x46201),a910),a910),x46202),f329(f921(x46202,x46201)))),f327(f7(x46202,x46201,f921(x46202,x46201)),f252(x46202,x46201))))),x46203))),f327(f286(x46202,x46201),x46203))
% 206.97/207.87 [4642]E(f327(f262(f916(x46421)),f327(f327(f8(f922(x46421,a910),a910,f916(x46421)),f87(x46421)),f327(f327(f8(f922(x46421,f922(f916(x46421),a910)),f922(x46421,a910),f916(x46421)),f327(f8(f922(f916(x46421),a910),a910,x46421),f87(f916(x46421)))),f327(f327(f7(f916(x46421),f922(x46421,f922(f916(x46421),a910)),f922(x46421,f922(f916(x46421),a910))),f327(f327(f8(f922(x46421,f922(f922(f916(x46421),a910),f922(f916(x46421),a910))),f922(f922(x46421,f922(f916(x46421),a910)),f922(x46421,f922(f916(x46421),a910))),f916(x46421)),f18(x46421,f922(f916(x46421),a910),f922(f916(x46421),a910))),f327(f327(f8(f922(x46421,f922(f916(x46421),f922(a910,a910))),f922(x46421,f922(f922(f916(x46421),a910),f922(f916(x46421),a910))),f916(x46421)),f327(f8(f922(f916(x46421),f922(a910,a910)),f922(f922(f916(x46421),a910),f922(f916(x46421),a910)),x46421),f18(f916(x46421),a910,a910))),f327(f327(f8(f922(x46421,f922(f916(x46421),a910)),f922(x46421,f922(f916(x46421),f922(a910,a910))),f916(x46421)),f327(f8(f922(f916(x46421),a910),f922(f916(x46421),f922(a910,a910)),x46421),f327(f8(a910,f922(a910,a910),f916(x46421)),a325))),f327(f327(f7(f916(x46421),f922(x46421,f922(f916(x46421),f916(x46421))),f922(x46421,f922(f916(x46421),a910))),f327(f327(f8(f922(f922(f916(x46421),f916(x46421)),f922(f916(x46421),a910)),f922(f922(x46421,f922(f916(x46421),f916(x46421))),f922(x46421,f922(f916(x46421),a910))),f916(x46421)),f8(f922(f916(x46421),f916(x46421)),f922(f916(x46421),a910),x46421)),f327(f327(f8(f922(f916(x46421),a910),f922(f922(f916(x46421),f916(x46421)),f922(f916(x46421),a910)),f916(x46421)),f8(f916(x46421),a910,f916(x46421))),a324))),f152(x46421)))))),f327(f327(f7(x46421,f922(f916(x46421),a910),f922(f916(x46421),a910)),f327(f327(f8(f922(a910,a910),f922(f922(f916(x46421),a910),f922(f916(x46421),a910)),x46421),f8(a910,a910,f916(x46421))),f327(f327(f8(a910,f922(a910,a910),x46421),a325),f327(f327(f7(x46421,f922(x46421,a910),a910),f329(x46421)),x46422)))),f327(f327(f7(f916(x46421),f922(f916(x46421),a910),a910),f329(f916(x46421))),x46423)))))),f175(x46421,x46422,x46423))
% 206.97/207.87 [4639]E(f327(f327(f86(a1,f921(a1,a1)),f327(f327(f23(a1),x46391),x46392)),f327(f327(f7(a1,f921(a1,a1),f921(a1,a1)),f327(f327(f18(a1,f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),f327(f327(f8(a910,f922(f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),a1),f97(f921(a1,a1))),f327(f234(a1),f2(a1)))),f327(f252(a1,a1),f327(f327(f80(a1),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x46393)),f78(a1))))),f327(f327(f252(a1,a1),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x46393)),x46391))),f327(f44(x46392),f327(f327(f252(a1,a1),x46393),x46391)))
% 206.97/207.87 [4662]~E(f29(x46621,x46622),f30(x46623,x46624))
% 206.97/207.87 [3681]E(f117(x36811,f327(x36812,x36813),f327(x36814,x36813)),f327(f205(x36811,x36812,x36814),x36813))
% 206.97/207.87 [3734]E(f327(f327(f245(x37341,x37342,x37343),x37344),f2(a915)),x37342)
% 206.97/207.87 [3774]E(f186(x37741,x37742,x37743,f327(a113,x37744)),f327(x37743,x37744))
% 206.97/207.87 [3816]E(f171(x38161,x38162,f171(x38161,x38163,x38164)),f171(x38161,x38163,f171(x38161,x38162,x38164)))
% 206.97/207.87 [3817]E(f127(x38171,x38172,f117(x38171,x38173,x38174)),f117(x38171,f127(x38171,x38172,x38173),x38174))
% 206.97/207.87 [3952]E(f327(f157(x39521,x39522,x39523,x39524),f114(x39522)),x39523)
% 206.97/207.87 [3953]E(f327(f143(x39531,x39532,x39533,x39534),f114(x39532)),x39534)
% 206.97/207.87 [3990]E(f327(f191(f919(x39901,x39902)),f222(x39901,x39902,x39903,x39904)),f2(a915))
% 206.97/207.87 [4015]E(f327(f257(x40151,x40152,x40153),f255(x40151,x40152,x40153,x40154)),x40154)
% 206.97/207.87 [4059]E(f327(f327(f135(x40591),f170(x40591,x40592,x40593)),f170(x40591,x40594,x40593)),f327(f327(f135(x40591),f170(x40591,x40594,x40593)),f170(x40591,x40592,x40593)))
% 206.97/207.87 [4145]E(f327(f327(f259(x41451,x41452,x41453,f921(x41452,x41453)),x41454),f252(x41452,x41453)),x41454)
% 206.97/207.87 [4155]E(f128(x41551,x41552,x41553,x41554,f120(x41552)),x41553)
% 206.97/207.87 [4161]E(f74(x41611,x41612,x41613,x41614,f327(x41613,x41614)),x41613)
% 206.97/207.87 [4430]P40(x44301,x44302,x44303,x44304,f190(f922(x44301,a910)),x44304)
% 206.97/207.87 [3483]E(f327(f327(f16(x34831,x34832),x34833),x34834),x34833)
% 206.97/207.87 [3764]E(f171(x37641,x37642,f327(f137(x37641,x37643),x37644)),f327(f137(x37641,x37643),f171(x37641,x37642,x37644)))
% 206.97/207.87 [3799]E(f327(f327(f64(x37991,x37992,x37993),x37994),f190(f922(x37991,a910))),x37994)
% 206.97/207.87 [3823]E(f327(f327(f165(x38231),f327(f327(f152(x38231),x38232),x38233)),f327(a113,x38234)),f327(f327(f165(x38231),x38233),x38234))
% 206.97/207.87 [3891]E(f327(f327(x38911,x38912),f327(f185(x38913,x38914,x38911),x38912)),f327(f185(x38913,x38914,x38911),f327(a113,x38912)))
% 206.97/207.87 [3933]E(f255(x39331,x39332,x39333,f327(f257(x39331,x39332,x39333),x39334)),x39334)
% 206.97/207.87 [3988]E(f327(f327(f160(x39881,f327(f327(f152(x39881),x39882),x39883)),f2(a915)),x39884),f327(f327(f152(x39881),x39884),x39883))
% 206.97/207.87 [4000]E(f327(f327(f40(f922(x40001,a910),f922(x40002,a910)),x40003),f310(x40001,x40002,x40004)),f327(f310(x40001,x40002,x40004),f38(f922(x40001,a910),x40003)))
% 206.97/207.87 [4001]E(f327(f327(f40(f922(x40011,a910),f922(x40012,a910)),x40013),f311(x40012,x40011,x40014)),f327(f311(x40012,x40011,x40014),f38(f922(x40011,a910),x40013)))
% 206.97/207.87 [4026]E(f121(x40261,f131(x40262,f917(x40261),x40263,x40264)),f327(f119(x40262,x40261,x40264),x40263))
% 206.97/207.87 [4100]E(f327(f126(x41001,x41002),f127(x41001,x41003,x41004)),f327(f327(f80(a915),f327(f327(f80(a915),f327(x41002,x41003)),f327(f126(x41001,x41002),x41004))),f327(a113,f2(a915))))
% 206.97/207.87 [4121]E(f327(f143(x41211,x41212,f327(f7(x41212,x41211,x41211),x41213),x41214),f327(f169(x41212),f114(x41212))),x41214)
% 206.97/207.87 [4167]E(f76(x41671,x41672,x41673,x41674,f190(f922(x41671,a910))),x41673)
% 206.97/207.87 [4228]E(f225(x42281,f921(x42282,f917(x42282)),x42283,f327(f257(x42282,f917(x42282),x42281),x42284),f327(f136(x42282),f120(x42282))),x42283)
% 206.97/207.87 [4360]E(f327(f257(x43601,x43602,x43603),f327(f327(f8(f922(x43602,f921(x43601,x43602)),f922(x43602,x43603),x43601),f327(f8(f921(x43601,x43602),x43603,x43602),x43604)),f252(x43601,x43602))),x43604)
% 206.97/207.87 [3672]E(f327(f256(x36721,x36722),f327(f327(f252(x36721,x36722),x36723),x36724)),x36724)
% 206.97/207.87 [3673]E(f327(f251(x36731,x36732),f327(f327(f252(x36731,x36732),x36733),x36734)),x36733)
% 206.97/207.87 [3706]E(f327(f191(f916(x37061)),f327(f327(f160(x37061,x37062),x37063),x37064)),f327(f191(f916(x37061)),x37062))
% 206.97/207.87 [3707]E(f327(f191(f916(x37071)),f327(f327(f155(x37072,x37071),x37073),x37074)),f327(f191(f916(x37072)),x37074))
% 206.97/207.87 [3728]E(f327(f327(f139(x37281),f327(a113,x37282)),f327(f327(f152(x37281),x37283),x37284)),f327(f327(f139(x37281),x37282),x37284))
% 206.97/207.87 [3794]E(f327(f327(f176(x37941),x37942),f170(x37941,x37943,x37944)),f170(x37941,f327(f327(f238(a915),x37942),x37943),x37944))
% 206.97/207.87 [3795]E(f327(f327(f139(x37951),x37952),f170(x37951,x37953,x37954)),f170(x37951,f327(f327(f23(a915),x37953),x37952),x37954))
% 206.97/207.87 [3801]E(f327(f327(f309(x38011),x38012),f327(f327(f309(x38011),x38013),x38014)),f327(f327(f309(x38011),x38013),f327(f327(f309(x38011),x38012),x38014)))
% 206.97/207.87 [3805]E(f327(f327(f155(x38051,x38052),x38053),f115(x38051,x38054)),f115(x38052,f327(f327(f155(x38051,x38052),x38053),x38054)))
% 206.97/207.87 [3821]E(f327(f169(x38211),f327(f327(f155(x38212,x38211),x38213),x38214)),f327(f327(f155(x38212,x38211),x38213),f327(f169(x38212),x38214)))
% 206.97/207.87 [3822]E(f327(f327(f155(x38221,x38222),x38223),f327(f172(x38221),x38224)),f327(f172(x38222),f327(f327(f155(x38221,x38222),x38223),x38224)))
% 206.97/207.87 [3837]E(f327(f327(f176(x38371),f327(a113,x38372)),f327(f327(f152(x38371),x38373),x38374)),f327(f327(f152(x38371),x38373),f327(f327(f176(x38371),x38372),x38374)))
% 206.97/207.87 [3841]E(f327(f173(x38411),f327(f327(f155(x38412,x38411),x38413),x38414)),f327(f310(x38412,x38411,x38413),f327(f173(x38412),x38414)))
% 206.97/207.87 [3854]E(f327(f327(f155(x38541,x38542),f327(f16(x38542,x38541),x38543)),x38544),f170(x38542,f327(f191(f916(x38541)),x38544),x38543))
% 206.97/207.87 [3890]E(f17(x38901,x38902,x38903,f327(a3,f327(a113,f327(a20,x38904)))),f327(x38903,x38904))
% 206.97/207.87 [3894]E(f327(f327(f135(x38941),f327(f137(x38941,x38942),x38943)),f327(f137(x38941,x38942),x38944)),f327(f137(x38941,x38942),f327(f327(f135(x38941),x38943),x38944)))
% 206.97/207.87 [3907]E(f153(x39071,f327(f327(f155(x39072,x39071),x39073),f153(x39072,x39074))),f153(x39071,f327(f327(f155(x39072,x39071),x39073),x39074)))
% 206.97/207.87 [3922]E(f327(f286(x39221,x39221),f327(f327(f288(x39222,x39221),x39223),x39224)),f327(f327(f288(x39222,x39221),f327(f286(x39222,x39222),x39223)),x39224))
% 206.97/207.87 [3934]E(f327(f327(f289(x39341,x39342,x39343),x39344),f190(f922(f921(x39342,x39343),a910))),f190(f922(f921(x39341,x39343),a910)))
% 206.97/207.87 [3935]E(f327(f327(f176(x39351),f327(f327(f23(a915),x39352),x39353)),f327(f327(f139(x39351),x39353),x39354)),f327(f327(f139(x39351),x39353),f327(f327(f176(x39351),x39352),x39354)))
% 206.97/207.87 [3954]E(f327(f327(f135(x39541),f170(x39541,x39542,x39543)),f170(x39541,x39544,x39543)),f170(x39541,f327(f327(f80(a915),x39542),x39544),x39543))
% 206.97/207.87 [3955]E(f327(f327(f327(f278(x39551),x39552),x39553),x39554),f327(f252(f922(a100,f922(a910,f918(f917(x39551)))),f921(a100,a100)),f327(f43(x39551),x39552)))
% 206.97/207.87 [3981]E(f39(f922(x39811,a910),f327(f310(x39812,f922(x39811,a910),x39813),x39814)),f327(f327(f41(x39812,f922(x39811,a910)),x39814),x39813))
% 206.97/207.87 [3982]E(f38(f922(x39821,a910),f327(f310(x39822,f922(x39821,a910),x39823),x39824)),f327(f327(f40(x39822,f922(x39821,a910)),x39824),x39823))
% 206.97/207.87 [3983]E(f327(f191(f916(f921(x39831,x39832))),f327(f327(f182(x39831,x39832),x39833),x39834)),f327(f327(f238(a915),f327(f191(f916(x39831)),x39833)),f327(f191(f916(x39832)),x39834)))
% 206.97/207.87 [3985]E(f327(f311(x39851,x39852,x39853),f327(f79(f922(x39852,a910)),x39854)),f327(f79(f922(x39851,a910)),f327(f311(x39851,x39852,x39853),x39854)))
% 206.97/207.87 [4036]E(f327(f311(x40361,x40362,x40363),f327(f262(x40362),x40364)),f327(f262(x40361),f327(f327(f8(x40362,a910,x40361),x40364),x40363)))
% 206.97/207.87 [4054]E(f327(f327(f165(x40541),f327(f327(f135(x40541),x40542),f327(f327(f152(x40541),x40543),x40544))),f327(f191(f916(x40541)),x40542)),x40543)
% 206.97/207.87 [4077]E(f327(f310(x40771,x40772,x40773),f327(f311(x40771,x40772,x40773),x40774)),f327(f327(f103(f922(x40772,a910)),x40774),f327(f310(x40771,x40772,x40773),f242(f922(x40771,a910)))))
% 206.97/207.87 [4096]P1(f327(f327(f329(x40961),f327(x40962,x40963)),f327(f310(x40964,x40961,x40962),f242(f922(x40964,a910)))))
% 206.97/207.87 [4105]E(f19(x41051,x41052,x41053,f327(a3,f327(a113,f327(a20,x41054)))),f327(f327(x41053,x41054),f19(x41051,x41052,x41053,x41054)))
% 206.97/207.87 [4109]E(f327(f327(f135(x41091),f170(x41091,x41092,x41093)),f327(f327(f152(x41091),x41093),x41094)),f327(f327(f152(x41091),x41093),f327(f327(f135(x41091),f170(x41091,x41092,x41093)),x41094)))
% 206.97/207.87 [4111]E(f327(f327(f254(x41111,x41112),f327(f173(x41111),x41113)),f327(f16(f922(x41112,a910),x41111),f327(f173(x41112),x41114))),f327(f173(f921(x41111,x41112)),f60(x41111,x41112,x41113,x41114)))
% 206.97/207.87 [4123]E(f156(x41231,x41232,f327(f327(f152(x41231),x41233),x41234)),f327(f327(f80(a915),f327(f327(f80(a915),f327(x41232,x41233)),f156(x41231,x41232,x41234))),f327(a113,f2(a915))))
% 206.97/207.87 [4136]E(f186(f916(x41361),f327(f327(f152(x41361),x41362),x41363),f327(f327(f7(a915,f916(x41361),f916(x41361)),f139(x41361)),x41363),x41364),f327(f327(f139(x41361),x41364),f327(f327(f152(x41361),x41362),x41363)))
% 206.97/207.87 [4137]P23(x41371,f921(x41372,x41371),f331(x41373,x41374,x41372,x41371),f327(f327(f40(x41372,f922(x41371,a910)),x41374),x41373))
% 206.97/207.87 [4146]E(f327(f327(f23(f922(x41461,a910)),f327(f327(f23(f922(x41461,a910)),x41462),x41463)),f327(f327(f309(x41461),x41464),f190(f922(x41461,a910)))),f327(f327(f23(f922(x41461,a910)),x41462),f327(f327(f309(x41461),x41464),x41463)))
% 206.97/207.87 [4159]E(f327(f327(f184(f922(x41591,x41592),f922(x41591,x41592)),x41593),f72(x41592,x41592,x41591,x41594)),f72(x41592,x41592,x41591,f327(f327(f184(x41592,x41592),x41593),x41594)))
% 206.97/207.87 [4233]E(f327(f327(f327(f184(f916(x42331),f916(x42331)),x42332),f168(x42331)),f327(f327(f327(f184(f916(x42331),f916(x42331)),x42333),f168(x42331)),x42334)),f327(f327(f327(f184(f916(x42331),f916(x42331)),f327(f327(f80(a915),x42332),x42333)),f168(x42331)),x42334))
% 206.97/207.87 [4318]P1(f327(f327(f234(f922(x43181,a910)),f327(f173(x43181),f327(f327(f160(x43181,x43182),x43183),x43184))),f327(f327(f309(x43181),x43184),f327(f173(x43181),x43182))))
% 206.97/207.87 [4350]E(f327(f327(f40(f922(x43501,a910),f922(f921(x43501,x43502),a910)),x43503),f327(f327(f7(f922(x43501,a910),f922(x43501,f922(x43502,a910)),f922(f921(x43501,x43502),a910)),f254(x43501,x43502)),x43504)),f327(f327(f254(x43501,x43502),f38(f922(x43501,a910),x43503)),x43504))
% 206.97/207.87 [4388]E(f211(x43881,x43882,x43883,f327(f72(x43882,f922(a100,f922(a100,f922(f921(a100,a100),f922(a100,f917(x43882))))),x43881,f210(x43882)),x43884)),f212(x43881,x43882,x43884,x43883))
% 206.97/207.87 [4403]E(f207(x44031,x44032,x44033,f327(f72(x44032,f922(a100,f922(a100,f922(f921(a100,a100),f922(a100,f917(f918(x44032)))))),x44031,f206(x44032)),x44034)),f208(x44031,x44032,x44034,x44033))
% 206.97/207.87 [4408]P1(f327(f66(x44081,x44082,x44083,x44084,f190(f922(x44081,a910))),x44084))
% 206.97/207.87 [4447]E(f327(f327(f40(x44471,f922(x44472,a910)),x44473),f327(f327(f7(x44471,f922(x44472,a910),f922(x44472,a910)),f327(f327(f8(x44472,f922(f922(x44472,a910),f922(x44472,a910)),x44471),f309(x44472)),x44474)),f190(f922(x44472,a910)))),f327(f310(x44471,x44472,x44474),x44473))
% 206.97/207.87 [4454]P1(f327(f327(f234(f922(x44541,a910)),f327(f284(x44542,x44541),f327(f327(f103(f922(f921(x44542,x44541),a910)),x44543),x44544))),f327(f327(f103(f922(x44541,a910)),f327(f284(x44542,x44541),x44543)),f327(f284(x44542,x44541),x44544))))
% 206.97/207.87 [4455]P1(f327(f327(f234(f922(x44551,a910)),f327(f264(x44551,x44552),f327(f327(f103(f922(f921(x44551,x44552),a910)),x44553),x44554))),f327(f327(f103(f922(x44551,a910)),f327(f264(x44551,x44552),x44553)),f327(f264(x44551,x44552),x44554))))
% 206.97/207.87 [4515]P1(f327(f327(f234(f922(f921(x45151,x45152),a910)),f327(f310(x45152,f921(x45151,x45152),f331(x45153,x45154,x45151,x45152)),f327(f327(f40(x45151,f922(x45152,a910)),x45154),x45153))),f327(f327(f254(x45151,x45152),x45154),x45153)))
% 206.97/207.87 [4516]E(f327(f119(x45161,f921(x45161,x45162),x45163),f327(f327(f8(f922(x45162,f917(f921(x45161,x45162))),f917(f921(x45161,x45162)),x45161),f119(x45162,f921(x45161,x45162),x45164)),f327(f327(f8(f922(x45162,f921(x45161,x45162)),f922(x45162,f917(f921(x45161,x45162))),x45161),f327(f8(f921(x45161,x45162),f917(f921(x45161,x45162)),x45162),f130(f921(x45161,x45162)))),f252(x45161,x45162)))),f132(x45161,x45162,x45163,x45164))
% 206.97/207.87 [4517]E(f276(x45171,x45172,x45173,f327(f72(x45172,f922(a100,f922(a100,f922(f921(a100,a100),f921(f922(a100,f922(a910,f918(f917(x45172)))),f921(a100,a100))))),x45171,f278(x45172)),x45174)),f279(x45171,x45172,x45174,x45173))
% 206.97/207.87 [4557]E(f85(f921(x45571,x45572),f327(f257(x45571,x45572,a910),f327(f327(f7(x45571,f922(x45572,a910),f922(x45572,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x45572,a910),f922(x45572,a910)),x45571),f8(a910,a910,x45572)),f327(f327(f8(a910,f922(a910,a910),x45571),a325),f327(a324,x45573)))),f327(a324,x45574)))),f327(f327(f252(x45571,x45572),x45573),x45574))
% 206.97/207.87 [4558]E(f90(f921(x45581,x45582),f327(f257(x45581,x45582,a910),f327(f327(f7(x45581,f922(x45582,a910),f922(x45582,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x45582,a910),f922(x45582,a910)),x45581),f8(a910,a910,x45582)),f327(f327(f8(a910,f922(a910,a910),x45581),a325),f327(a324,x45583)))),f327(a324,x45584)))),f327(f327(f252(x45581,x45582),x45583),x45584))
% 206.97/207.87 [4630]E(f327(f327(f257(f916(x46301),f916(x46301),f921(f916(x46301),f916(x46301))),f327(f327(f18(f916(x46301),f922(f916(x46301),f921(f916(x46301),f916(x46301))),f922(f916(x46301),f921(f916(x46301),f916(x46301)))),f327(f327(f8(f922(f916(x46301),f922(f921(f916(x46301),f916(x46301)),f921(f916(x46301),f916(x46301)))),f922(f922(f916(x46301),f921(f916(x46301),f916(x46301))),f922(f916(x46301),f921(f916(x46301),f916(x46301)))),f916(x46301)),f18(f916(x46301),f921(f916(x46301),f916(x46301)),f921(f916(x46301),f916(x46301)))),f327(f327(f8(f922(f916(x46301),f921(f916(x46301),f916(x46301))),f922(f916(x46301),f922(f921(f916(x46301),f916(x46301)),f921(f916(x46301),f916(x46301)))),f916(x46301)),f327(f8(f921(f916(x46301),f916(x46301)),f922(f921(f916(x46301),f916(x46301)),f921(f916(x46301),f916(x46301))),f916(x46301)),f327(f97(f921(f916(x46301),f916(x46301))),f327(x46302,x46303)))),f327(f327(f8(f916(x46301),f922(f916(x46301),f921(f916(x46301),f916(x46301))),f916(x46301)),f252(f916(x46301),f916(x46301))),f327(f152(x46301),x46303))))),f327(f327(f7(f916(x46301),f922(f916(x46301),f916(x46301)),f922(f916(x46301),f921(f916(x46301),f916(x46301)))),f327(f327(f8(f922(f916(x46301),f921(f916(x46301),f916(x46301))),f922(f922(f916(x46301),f916(x46301)),f922(f916(x46301),f921(f916(x46301),f916(x46301)))),f916(x46301)),f8(f916(x46301),f921(f916(x46301),f916(x46301)),f916(x46301))),f252(f916(x46301),f916(x46301)))),f327(f152(x46301),x46303)))),f167(x46301,x46302,x46304)),f167(x46301,x46302,f327(f327(f152(x46301),x46303),x46304)))
% 206.97/207.87 [3746]E(f327(f191(f913(x37461)),f327(f327(f327(f91(x37461),x37462),x37463),x37464)),f2(a915))
% 206.97/207.87 [3870]E(f327(f327(f176(x38701),x38702),f327(f327(f176(x38701),x38703),x38704)),f327(f327(f176(x38701),f327(f327(f238(a915),x38702),x38703)),x38704))
% 206.97/207.87 [3871]E(f327(f327(f139(x38711),x38712),f327(f327(f139(x38711),x38713),x38714)),f327(f327(f139(x38711),f327(f327(f80(a915),x38712),x38713)),x38714))
% 206.97/207.87 [3882]E(f327(f327(f135(x38821),f327(f327(f152(x38821),x38822),x38823)),x38824),f327(f327(f152(x38821),x38822),f327(f327(f135(x38821),x38823),x38824)))
% 206.97/207.87 [3883]E(f327(f327(f135(x38831),f327(f327(f135(x38831),x38832),x38833)),x38834),f327(f327(f135(x38831),x38832),f327(f327(f135(x38831),x38833),x38834)))
% 206.97/207.87 [3965]E(f327(f327(f165(x39651),f327(f327(f152(x39651),x39652),x39653)),x39654),f186(x39651,x39652,f327(f165(x39651),x39653),x39654))
% 206.97/207.87 [3974]E(f327(f327(f184(x39741,x39741),x39742),f327(f327(f184(x39741,x39741),x39743),x39744)),f327(f327(f184(x39741,x39741),f327(f327(f81(a915),x39743),x39742)),x39744))
% 206.97/207.87 [4003]E(f327(f327(f102(f922(x40031,a910)),x40032),f327(f327(f309(x40031),x40033),x40034)),f327(f327(f309(x40031),x40033),f327(f327(f102(f922(x40031,a910)),x40032),x40034)))
% 206.97/207.87 [4018]E(f327(f327(f327(f184(x40181,x40181),x40182),x40183),f327(x40183,x40184)),f327(x40183,f327(f327(f327(f184(x40181,x40181),x40182),x40183),x40184)))
% 206.97/207.87 [4027]E(f327(f327(f289(x40271,x40272,x40273),f190(f922(f921(x40271,x40272),a910))),x40274),f190(f922(f921(x40271,x40273),a910)))
% 206.97/207.87 [4042]E(f327(f327(f102(f922(x40421,a910)),f327(f327(f309(x40421),x40422),x40423)),x40424),f327(f327(f309(x40421),x40422),f327(f327(f102(f922(x40421,a910)),x40423),x40424)))
% 206.97/207.87 [4061]E(f327(f36(f921(x40611,x40612)),f327(f327(f254(x40611,x40612),x40613),f327(f16(f922(x40612,a910),x40611),x40614))),f327(f327(f81(a915),f327(f36(x40611),x40613)),f327(f36(x40612),x40614)))
% 206.97/207.87 [4068]E(f327(f327(f103(f922(x40681,a910)),f327(f327(f309(x40681),x40682),x40683)),f327(f327(f309(x40681),x40682),x40684)),f327(f327(f309(x40681),x40682),f327(f327(f103(f922(x40681,a910)),x40683),x40684)))
% 206.97/207.87 [4081]E(f327(f327(f102(f922(x40811,a910)),x40812),f327(f327(f102(f922(x40811,a910)),x40813),x40814)),f327(f327(f102(f922(x40811,a910)),x40813),f327(f327(f102(f922(x40811,a910)),x40812),x40814)))
% 206.97/207.87 [4082]E(f327(f327(f103(f922(x40821,a910)),x40822),f327(f327(f103(f922(x40821,a910)),x40823),x40824)),f327(f327(f103(f922(x40821,a910)),x40823),f327(f327(f103(f922(x40821,a910)),x40822),x40824)))
% 206.97/207.87 [4092]E(f64(x40921,x40922,f327(f327(f8(x40922,f922(x40922,x40922),x40921),x40923),x40924)),f327(f65(x40922,x40921,x40923),x40924))
% 206.97/207.87 [4101]E(f180(x41011,f327(f327(f155(f916(x41012),f916(x41011)),f327(f155(x41012,x41011),x41013)),x41014)),f327(f327(f155(f916(x41012),f916(x41011)),f327(f155(x41012,x41011),x41013)),f180(x41012,x41014)))
% 206.97/207.87 [4120]E(f327(f143(f916(x41201),f916(x41201),f135(x41201),f114(x41201)),f327(f327(f155(x41202,f916(x41201)),x41203),x41204)),f164(x41202,x41201,x41203,x41204))
% 206.97/207.87 [4180]E(f327(f72(x41801,x41801,x41801,f327(f327(f184(x41801,x41801),x41802),x41803)),f327(f327(f184(x41801,x41801),x41804),x41803)),f327(f327(f184(x41801,x41801),f327(f327(f80(a915),x41802),x41804)),x41803))
% 206.97/207.87 [4203]E(f327(f327(f103(f922(x42031,a910)),f327(f327(f23(f922(x42031,a910)),x42032),x42033)),f327(f327(f23(f922(x42031,a910)),x42032),x42034)),f327(f327(f23(f922(x42031,a910)),x42032),f327(f327(f102(f922(x42031,a910)),x42033),x42034)))
% 206.97/207.87 [4204]E(f327(f327(f102(f922(x42041,a910)),f327(f327(f23(f922(x42041,a910)),x42042),x42043)),f327(f327(f23(f922(x42041,a910)),x42042),x42044)),f327(f327(f23(f922(x42041,a910)),x42042),f327(f327(f103(f922(x42041,a910)),x42043),x42044)))
% 206.97/207.87 [4205]E(f327(f327(f103(f922(x42051,a910)),f327(f327(f102(f922(x42051,a910)),x42052),x42053)),f327(f327(f102(f922(x42051,a910)),x42052),x42054)),f327(f327(f102(f922(x42051,a910)),x42052),f327(f327(f103(f922(x42051,a910)),x42053),x42054)))
% 206.97/207.87 [4206]E(f327(f327(f23(f922(x42061,a910)),f327(f327(f103(f922(x42061,a910)),x42062),x42063)),f327(f327(f103(f922(x42061,a910)),x42062),x42064)),f327(f327(f103(f922(x42061,a910)),x42062),f327(f327(f23(f922(x42061,a910)),x42063),x42064)))
% 206.97/207.87 [4207]E(f327(f327(f102(f922(x42071,a910)),f327(f327(f103(f922(x42071,a910)),x42072),x42073)),f327(f327(f103(f922(x42071,a910)),x42072),x42074)),f327(f327(f103(f922(x42071,a910)),x42072),f327(f327(f102(f922(x42071,a910)),x42073),x42074)))
% 206.97/207.87 [4212]E(f327(f36(f921(x42121,x42122)),f327(f327(f254(x42121,x42122),f327(f327(f309(x42121),x42123),f190(f922(x42121,a910)))),f327(f16(f922(x42122,a910),x42121),x42124))),f327(f36(x42122),x42124))
% 206.97/207.87 [4247]E(f327(f327(f41(x42471,f922(x42472,a910)),x42473),f327(f327(f8(f922(x42472,a910),f922(x42472,a910),x42471),f79(f922(x42472,a910))),x42474)),f327(f79(f922(x42472,a910)),f327(f327(f40(x42471,f922(x42472,a910)),x42473),x42474)))
% 206.97/207.87 [4248]E(f327(f327(f40(x42481,f922(x42482,a910)),x42483),f327(f327(f8(f922(x42482,a910),f922(x42482,a910),x42481),f79(f922(x42482,a910))),x42484)),f327(f79(f922(x42482,a910)),f327(f327(f41(x42481,f922(x42482,a910)),x42483),x42484)))
% 206.97/207.87 [4264]E(f327(f327(f289(x42641,x42641,x42641),f327(f327(f184(f921(x42641,x42641),a910),x42642),x42643)),f327(f327(f184(f921(x42641,x42641),a910),x42644),x42643)),f327(f327(f184(f921(x42641,x42641),a910),f327(f327(f80(a915),x42642),x42644)),x42643))
% 206.97/207.87 [4294]E(f327(f327(f41(x42941,f922(f922(x42942,a910),a910)),x42943),f327(f327(f8(f922(x42942,a910),f922(f922(x42942,a910),a910),x42941),f308(x42942)),x42944)),f327(f308(x42942),f327(f327(f41(x42941,f922(x42942,a910)),x42943),x42944)))
% 206.97/207.87 [4323]E(f327(f327(f40(f922(x43231,a910),f922(x43232,a910)),x43233),f327(f327(f7(f922(x43231,a910),f922(x43231,f922(x43232,a910)),f922(x43232,a910)),f40(x43231,f922(x43232,a910))),x43234)),f327(f327(f40(x43231,f922(x43232,a910)),f38(f922(x43231,a910),x43233)),x43234))
% 206.97/207.87 [4324]E(f327(f327(f41(f922(x43241,a910),f922(x43242,a910)),x43243),f327(f327(f7(f922(x43241,a910),f922(x43241,f922(x43242,a910)),f922(x43242,a910)),f41(x43241,f922(x43242,a910))),x43244)),f327(f327(f41(x43241,f922(x43242,a910)),f38(f922(x43241,a910),x43243)),x43244))
% 206.97/207.87 [4329]E(f327(f327(f155(x43291,x43292),x43293),f327(f143(f916(x43291),f916(x43291),f135(x43291),f114(x43291)),x43294)),f327(f143(f916(x43292),f916(x43292),f135(x43292),f114(x43292)),f327(f327(f155(f916(x43291),f916(x43292)),f327(f155(x43291,x43292),x43293)),x43294)))
% 206.97/207.87 [4331]E(f186(f916(x43311),f114(x43311),f327(f327(f8(f916(x43311),f916(x43311),a915),f327(f152(x43311),x43312)),f327(f327(f7(a915,f916(x43311),f916(x43311)),f176(x43311)),x43313)),x43314),f327(f327(f176(x43311),x43314),f327(f327(f152(x43311),x43312),x43313)))
% 206.97/207.87 [4369]P1(f327(f327(f234(f922(x43691,a910)),f327(f310(x43692,x43691,x43693),f327(f311(x43692,x43691,x43693),x43694))),x43694))
% 206.97/207.87 [4371]E(f327(f310(f921(x43711,x43712),f921(x43712,x43711),f327(f257(x43711,x43712,f921(x43712,x43711)),f327(f7(x43712,x43711,f921(x43712,x43711)),f252(x43712,x43711)))),f327(f327(f254(x43711,x43712),x43713),f327(f16(f922(x43712,a910),x43711),x43714))),f327(f327(f254(x43712,x43711),x43714),f327(f16(f922(x43711,a910),x43712),x43713)))
% 206.97/207.87 [4380]E(f327(f327(f40(x43801,f922(x43802,a910)),x43803),f327(f327(f8(f922(x43801,a910),f922(x43802,a910),x43801),f311(x43802,x43801,x43804)),f327(f327(f7(x43801,f922(x43801,a910),f922(x43801,a910)),f309(x43801)),f190(f922(x43801,a910))))),f327(f311(x43802,x43801,x43804),x43803))
% 206.97/207.87 [4381]E(f327(f327(f40(x43811,f922(x43812,a910)),x43813),f327(f327(f8(f922(x43811,a910),f922(x43812,a910),x43811),f285(x43811,x43812,x43814)),f327(f327(f7(x43811,f922(x43811,a910),f922(x43811,a910)),f309(x43811)),f190(f922(x43811,a910))))),f327(f285(x43811,x43812,x43814),x43813))
% 206.97/207.88 [4468]E(f327(f327(f103(f922(x44681,a910)),f327(f327(f103(f922(x44681,a910)),f327(f327(f102(f922(x44681,a910)),x44682),x44683)),f327(f327(f102(f922(x44681,a910)),x44683),x44684))),f327(f327(f102(f922(x44681,a910)),x44684),x44682)),f327(f327(f102(f922(x44681,a910)),f327(f327(f102(f922(x44681,a910)),f327(f327(f103(f922(x44681,a910)),x44682),x44683)),f327(f327(f103(f922(x44681,a910)),x44683),x44684))),f327(f327(f103(f922(x44681,a910)),x44684),x44682)))
% 206.97/207.88 [4531]E(f327(f143(f916(x45311),f916(x45311),f135(x45311),f114(x45311)),f327(f327(f155(x45312,f916(x45311)),f327(f327(f7(x45312,f916(x45311),f916(x45311)),f327(f327(f8(x45311,f922(f916(x45311),f916(x45311)),x45312),f152(x45311)),x45313)),f114(x45311))),x45314)),f327(f327(f155(x45312,x45311),x45313),x45314))
% 206.97/207.88 [4541]E(f327(f327(f86(a1,x45411),f327(f105(a1),f327(f327(f80(a1),x45412),a98))),f327(f327(f18(a1,x45411,x45411),f327(f327(f7(a1,x45411,f922(x45411,x45411)),f327(f327(f8(a910,f922(x45411,f922(x45411,x45411)),a1),f97(x45411)),a195)),x45413)),f327(f327(f8(a915,x45411,a1),x45414),a106))),f186(x45411,x45413,x45414,f327(f105(a915),x45412)))
% 206.97/207.88 [4572]E(f327(f262(x45721),f327(f327(f8(f922(x45722,a910),a910,x45721),f87(x45722)),f327(f327(f8(f922(x45722,a910),f922(x45722,a910),x45721),f327(f18(x45722,a910,a910),f327(f327(f8(a910,f922(a910,a910),x45722),a325),f327(f327(f7(x45722,f922(x45722,a910),a910),f329(x45722)),x45723)))),f327(f7(x45722,x45721,a910),x45724)))),f327(f285(x45722,x45721,f327(f262(f921(x45722,x45721)),f327(f257(x45722,x45721,a910),x45724))),x45723))
% 206.97/207.88 [4729]~P1(f327(f327(f190(f922(x47291,f922(x47292,a910))),x47293),x47294))
% 206.97/207.88 [4030]E(f327(f327(f165(x40301),f327(f327(f135(x40301),x40302),x40303)),f327(f327(f80(a915),f327(f191(f916(x40301)),x40302)),x40304)),f327(f327(f165(x40301),x40303),x40304))
% 206.97/207.88 [4035]E(f327(f327(f139(x40351),x40352),f327(f327(f176(x40351),f327(f327(f80(a915),x40353),x40352)),x40354)),f327(f327(f176(x40351),x40353),f327(f327(f139(x40351),x40352),x40354)))
% 206.97/207.88 [4134]E(f327(f327(f102(f922(x41341,a910)),f327(f284(x41342,x41341),x41343)),f327(f284(x41342,x41341),x41344)),f327(f284(x41342,x41341),f327(f327(f102(f922(f921(x41342,x41341),a910)),x41343),x41344)))
% 206.97/207.88 [4135]E(f327(f327(f102(f922(x41351,a910)),f327(f264(x41351,x41352),x41353)),f327(f264(x41351,x41352),x41354)),f327(f264(x41351,x41352),f327(f327(f102(f922(f921(x41351,x41352),a910)),x41353),x41354)))
% 206.97/207.88 [4140]E(f327(f327(f23(f922(x41401,a910)),f327(f327(f103(f922(x41401,a910)),x41402),x41403)),x41404),f327(f327(f103(f922(x41401,a910)),x41402),f327(f327(f23(f922(x41401,a910)),x41403),x41404)))
% 206.97/207.88 [4141]E(f327(f327(f102(f922(x41411,a910)),f327(f327(f102(f922(x41411,a910)),x41412),x41413)),x41414),f327(f327(f102(f922(x41411,a910)),x41412),f327(f327(f102(f922(x41411,a910)),x41413),x41414)))
% 206.97/207.88 [4142]E(f327(f327(f103(f922(x41421,a910)),f327(f327(f103(f922(x41421,a910)),x41422),x41423)),x41424),f327(f327(f103(f922(x41421,a910)),x41422),f327(f327(f103(f922(x41421,a910)),x41423),x41424)))
% 206.97/207.88 [4182]E(f327(f327(f102(f922(f921(x41821,x41822),a910)),f327(f286(x41822,x41821),x41823)),f327(f286(x41822,x41821),x41824)),f327(f286(x41822,x41821),f327(f327(f102(f922(f921(x41822,x41821),a910)),x41823),x41824)))
% 206.97/207.88 [4183]E(f327(f327(f103(f922(f921(x41831,x41832),a910)),f327(f286(x41832,x41831),x41833)),f327(f286(x41832,x41831),x41834)),f327(f286(x41832,x41831),f327(f327(f103(f922(f921(x41832,x41831),a910)),x41833),x41834)))
% 206.97/207.88 [4196]E(f327(f327(f102(f922(x41961,f922(x41962,a910))),f243(x41962,x41961,x41963)),f243(x41962,x41961,x41964)),f243(x41962,x41961,f327(f327(f102(f922(x41962,f922(x41961,a910))),x41963),x41964)))
% 206.97/207.88 [4197]E(f327(f327(f103(f922(x41971,f922(x41972,a910))),f243(x41972,x41971,x41973)),f243(x41972,x41971,x41974)),f243(x41972,x41971,f327(f327(f103(f922(x41972,f922(x41971,a910))),x41973),x41974)))
% 206.97/207.88 [4251]E(f327(f327(f102(f922(x42511,a910)),f327(f327(f23(f922(x42511,a910)),x42512),x42513)),f327(f327(f23(f922(x42511,a910)),x42514),x42513)),f327(f327(f23(f922(x42511,a910)),f327(f327(f102(f922(x42511,a910)),x42512),x42514)),x42513))
% 206.97/207.88 [4252]E(f327(f327(f103(f922(x42521,a910)),f327(f327(f102(f922(x42521,a910)),x42522),x42523)),f327(f327(f102(f922(x42521,a910)),x42524),x42523)),f327(f327(f102(f922(x42521,a910)),f327(f327(f103(f922(x42521,a910)),x42522),x42524)),x42523))
% 206.97/207.88 [4253]E(f327(f327(f23(f922(x42531,a910)),f327(f327(f103(f922(x42531,a910)),x42532),x42533)),f327(f327(f103(f922(x42531,a910)),x42534),x42533)),f327(f327(f103(f922(x42531,a910)),f327(f327(f23(f922(x42531,a910)),x42532),x42534)),x42533))
% 206.97/207.88 [4254]E(f327(f327(f102(f922(x42541,a910)),f327(f327(f103(f922(x42541,a910)),x42542),x42543)),f327(f327(f103(f922(x42541,a910)),x42544),x42543)),f327(f327(f103(f922(x42541,a910)),f327(f327(f102(f922(x42541,a910)),x42542),x42544)),x42543))
% 206.97/207.88 [4255]E(f327(f327(f23(f922(x42551,a910)),f327(f327(f103(f922(x42551,a910)),x42552),x42553)),f327(f327(f103(f922(x42551,a910)),x42554),x42553)),f327(f327(f23(f922(x42551,a910)),f327(f327(f103(f922(x42551,a910)),x42552),x42553)),x42554))
% 206.97/207.88 [4267]E(f327(f327(f23(f922(x42671,a910)),f327(f327(f23(f922(x42671,a910)),x42672),f327(f327(f309(x42671),x42673),f190(f922(x42671,a910))))),x42674),f327(f327(f23(f922(x42671,a910)),x42672),f327(f327(f309(x42671),x42673),x42674)))
% 206.97/207.88 [4320]E(f327(f327(f102(f922(x43201,a910)),f327(f327(f309(x43201),x43202),f327(f327(f309(x43201),x43203),f190(f922(x43201,a910))))),f327(f281(x43201),x43204)),f327(f281(x43201),f327(f327(f309(f921(x43201,x43201)),f327(f327(f252(x43201,x43201),x43202),x43203)),x43204)))
% 206.97/207.88 [4345]E(f327(f327(f40(a915,f922(x43451,a910)),f327(f301(a915),x43452)),f327(f327(f8(a915,f922(x43451,a910),a915),x43453),f327(f327(f7(a915,a915,a915),f80(a915)),x43454))),f327(f327(f40(a915,f922(x43451,a910)),f303(a915,x43454,f327(f327(f80(a915),x43452),x43454))),x43453))
% 206.97/207.88 [4346]E(f175(x43461,f327(f285(x43461,x43461,x43462),f327(f327(f309(x43461),x43463),f190(f922(x43461,a910)))),f327(f285(f916(x43461),f916(x43461),f159(x43461,x43462)),f327(f327(f309(f916(x43461)),x43464),f190(f922(f916(x43461),a910))))),f327(f285(f916(x43461),f916(x43461),f159(x43461,x43462)),f327(f327(f309(f916(x43461)),f327(f327(f152(x43461),x43463),x43464)),f190(f922(f916(x43461),a910)))))
% 206.97/207.88 [4410]E(f327(f262(x44101),f327(f327(f7(x44101,f922(x44102,a910),a910),f327(f327(f8(x44102,f922(f922(x44102,a910),a910),x44101),f329(x44102)),x44103)),x44104)),f327(f311(x44101,x44102,x44103),x44104))
% 206.97/207.88 [4500]E(f327(f262(x45001),f327(f327(f7(x45001,f922(f921(x45002,x45001),a910),a910),f327(f327(f8(f921(x45002,x45001),f922(f922(f921(x45002,x45001),a910),a910),x45001),f329(f921(x45002,x45001))),f327(f252(x45002,x45001),x45003))),x45004)),f327(f285(x45002,x45001,x45004),f327(f327(f309(x45002),x45003),f190(f922(x45002,a910)))))
% 206.97/207.88 [4514]E(f327(f327(f155(f921(x45141,a915),x45141),f251(x45141,a915)),f327(f137(f921(x45141,a915),f327(f327(f8(a915,a910,f921(x45141,a915)),x45142),f327(f327(f8(a915,a915,f921(x45141,a915)),a113),f256(x45141,a915)))),f327(f327(f182(x45141,a915),x45143),x45144))),f327(f327(f155(f921(x45141,a915),x45141),f251(x45141,a915)),f327(f137(f921(x45141,a915),f327(f327(f8(a915,a910,f921(x45141,a915)),x45142),f256(x45141,a915))),f327(f327(f182(x45141,a915),x45143),f327(f327(f155(a915,a915),a113),x45144)))))
% 206.97/207.88 [4523]P1(f327(f327(f234(f922(f922(x45231,a910),a910)),f327(f327(f40(x45232,f922(f922(x45231,a910),a910)),x45233),f327(f327(f8(f922(x45231,a910),f922(f922(x45231,a910),a910),x45232),f308(x45231)),x45234))),f327(f308(x45231),f327(f327(f40(x45232,f922(x45231,a910)),x45233),x45234))))
% 206.97/207.88 [4564]E(f327(f327(f86(a1,x45641),f327(f105(a1),f327(f327(f80(a1),x45642),a98))),f327(f327(f18(a1,x45641,x45641),f327(f327(f7(a1,x45641,f922(x45641,x45641)),f327(f327(f8(a910,f922(x45641,f922(x45641,x45641)),a1),f97(x45641)),a195)),x45643)),f327(f327(f18(a1,x45641,x45641),f327(f327(f8(a915,f922(x45641,x45641),a1),x45644),a106)),f327(f327(f8(a915,x45641,a1),f185(x45641,x45643,x45644)),a106)))),f327(f185(x45641,x45643,x45644),f327(f105(a915),x45642)))
% 206.97/207.88 [4588]E(f327(f262(f921(x45881,x45882)),f327(f257(x45881,x45882,a910),f327(f327(f7(x45881,f922(x45882,a910),f922(x45882,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x45882,a910),f922(x45882,a910)),x45881),f8(a910,a910,x45882)),f327(f327(f8(a910,f922(a910,a910),x45881),a325),f327(f327(f7(x45881,f922(x45881,a910),a910),f329(x45881)),x45883)))),f327(f327(f7(x45882,f922(x45882,a910),a910),f329(x45882)),x45884)))),f231(x45881,x45882,x45883,x45884))
% 206.97/207.88 [4625]E(f327(f327(f40(x46251,f922(f921(x46251,x46252),a910)),x46253),f327(f327(f18(x46251,f922(x46252,f922(f921(x46251,x46252),a910)),f922(f921(x46251,x46252),a910)),f327(f327(f8(f922(x46252,a910),f922(f922(x46252,f922(f921(x46251,x46252),a910)),f922(f921(x46251,x46252),a910)),x46251),f40(x46252,f922(f921(x46251,x46252),a910))),x46254)),f327(f327(f7(x46251,f922(f921(x46251,x46252),a910),f922(x46252,f922(f921(x46251,x46252),a910))),f327(f327(f8(f922(x46252,f922(f922(f921(x46251,x46252),a910),f922(f921(x46251,x46252),a910))),f922(f922(f921(x46251,x46252),a910),f922(x46252,f922(f921(x46251,x46252),a910))),x46251),f7(x46252,f922(f921(x46251,x46252),a910),f922(f921(x46251,x46252),a910))),f327(f327(f8(f922(x46252,f921(x46251,x46252)),f922(x46252,f922(f922(f921(x46251,x46252),a910),f922(f921(x46251,x46252),a910))),x46251),f327(f8(f921(x46251,x46252),f922(f922(f921(x46251,x46252),a910),f922(f921(x46251,x46252),a910)),x46252),f309(f921(x46251,x46252)))),f252(x46251,x46252)))),f190(f922(f921(x46251,x46252),a910))))),f327(f327(f254(x46251,x46252),x46253),x46254))
% 206.97/207.88 [4191]E(f327(f327(f135(x41911),f327(f327(f176(x41911),x41912),x41913)),f327(f327(f176(x41911),f327(f327(f23(a915),x41912),f327(f191(f916(x41911)),x41913))),x41914)),f327(f327(f176(x41911),x41912),f327(f327(f135(x41911),x41913),x41914)))
% 206.97/207.88 [4192]E(f327(f327(f135(x41921),f327(f327(f139(x41921),x41922),x41923)),f327(f327(f139(x41921),f327(f327(f23(a915),x41922),f327(f191(f916(x41921)),x41923))),x41924)),f327(f327(f139(x41921),x41922),f327(f327(f135(x41921),x41923),x41924)))
% 206.97/207.88 [4241]E(f327(f327(f80(a915),f327(f327(f81(a915),x42411),x42412)),f327(f327(f80(a915),f327(f327(f81(a915),x42413),x42412)),x42414)),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f80(a915),x42411),x42413)),x42412)),x42414))
% 206.97/207.88 [4386]E(f90(x43861,f327(f327(f7(x43861,x43862,a910),f327(f327(f8(x43862,f922(x43862,a910),x43861),a324),x43863)),x43864)),f327(f92(x43861,x43862,f242(f922(x43861,a910)),x43863),x43864))
% 206.97/207.88 [4434]P1(f327(f327(f234(f922(x44341,a910)),f327(f327(f23(f922(x44341,a910)),f327(f284(x44342,x44341),x44343)),f327(f284(x44342,x44341),x44344))),f327(f284(x44342,x44341),f327(f327(f23(f922(f921(x44342,x44341),a910)),x44343),x44344))))
% 206.97/207.88 [4435]P1(f327(f327(f234(f922(x44351,a910)),f327(f327(f23(f922(x44351,a910)),f327(f264(x44351,x44352),x44353)),f327(f264(x44351,x44352),x44354))),f327(f264(x44351,x44352),f327(f327(f23(f922(f921(x44351,x44352),a910)),x44353),x44354))))
% 206.97/207.88 [4543]E(f327(f327(f80(a1),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x45431),x45432)),f190(f922(f921(a915,a915),a910)))))),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x45433),x45434)),f190(f922(f921(a915,a915),a910)))))),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),f327(f327(f80(a915),x45431),x45433)),f327(f327(f80(a915),x45432),x45434))),f190(f922(f921(a915,a915),a910))))))
% 206.97/207.88 [4583]E(f327(f327(f81(a1),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x45831),x45832)),f190(f922(f921(a915,a915),a910)))))),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x45833),x45834)),f190(f922(f921(a915,a915),a910)))))),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),f327(f327(f80(a915),f327(f327(f81(a915),x45831),x45833)),f327(f327(f81(a915),x45832),x45834))),f327(f327(f80(a915),f327(f327(f81(a915),x45831),x45834)),f327(f327(f81(a915),x45832),x45833)))),f190(f922(f921(a915,a915),a910))))))
% 206.97/207.88 [4604]E(f327(f262(x46041),f327(f327(f8(f922(x46042,a910),a910,x46041),f88(x46042)),f327(f327(f8(f922(x46042,a910),f922(x46042,a910),x46041),f327(f18(x46042,a910,a910),f327(f327(f8(a910,f922(a910,a910),x46042),a330),f327(f327(f7(x46042,f922(x46042,a910),a910),f329(x46042)),x46043)))),f327(f327(f7(x46041,f922(x46042,f922(x46041,a910)),f922(x46042,a910)),f327(f327(f8(f922(f922(x46041,a910),a910),f922(f922(x46042,f922(x46041,a910)),f922(x46042,a910)),x46041),f8(f922(x46041,a910),a910,x46042)),f329(x46041))),x46044)))),f327(f327(f41(x46042,f922(x46041,a910)),x46043),x46044))
% 206.97/207.88 [4638]E(f327(f327(f289(x46381,x46381,x46381),f327(f327(f309(f921(x46381,x46381)),f327(f327(f252(x46381,x46381),x46382),x46383)),x46384)),f307(x46381,f327(f327(f309(f921(x46381,x46381)),f327(f327(f252(x46381,x46381),x46382),x46383)),x46384))),f327(f327(f102(f922(f921(x46381,x46381),a910)),f327(f327(f289(x46381,x46381,x46381),x46384),f307(x46381,x46384))),f327(f262(f921(x46381,x46381)),f327(f257(x46381,x46381,a910),f327(f327(f7(x46381,f922(x46381,a910),f922(x46381,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x46381,a910),f922(x46381,a910)),x46381),f8(a910,a910,x46381)),f327(f327(f8(a910,f922(a910,a910),x46381),a325),f327(f327(f7(x46381,f922(f921(x46381,x46381),a910),a910),f327(f327(f8(f921(x46381,x46381),f922(f922(f921(x46381,x46381),a910),a910),x46381),f329(f921(x46381,x46381))),f327(f327(f7(x46381,x46381,f921(x46381,x46381)),f252(x46381,x46381)),x46382))),f307(x46381,x46384))))),f327(f327(f7(x46381,f922(f921(x46381,x46381),a910),a910),f327(f327(f8(f921(x46381,x46381),f922(f922(f921(x46381,x46381),a910),a910),x46381),f329(f921(x46381,x46381))),f327(f252(x46381,x46381),x46383))),f307(x46381,x46384)))))))
% 206.97/207.88 [4436]E(f327(f137(x44361,f327(f327(f18(x44361,a910,a910),f327(f327(f8(a910,f922(a910,a910),x44361),a325),x44362)),x44363)),x44364),f327(f137(x44361,x44363),f327(f137(x44361,x44362),x44364)))
% 206.97/207.88 [4537]E(f327(f327(f135(x45371),f327(f327(f327(f97(f916(x45371)),f327(f327(f329(a915),f2(a915)),x45372)),f327(f327(f152(x45371),x45373),f114(x45371))),f114(x45371))),f177(x45371,x45374,f327(f262(a915),f327(f327(f7(a915,f922(a915,a910),a910),f327(f327(f8(a915,f922(f922(a915,a910),a910),a915),f329(a915)),a113)),x45372)))),f177(x45371,f327(f327(f152(x45371),x45373),x45374),x45372))
% 206.97/207.88 [4634]E(f327(f262(f921(x46341,x46342)),f327(f327(f8(f922(a915,a910),a910,f921(x46341,x46342)),f87(a915)),f327(f327(f7(f921(x46341,x46342),f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),f921(x46341,x46342)),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),f921(x46341,x46342)),f327(f8(a910,f922(a910,a910),a915),a325)),f327(f327(f7(f921(x46341,x46342),f922(a915,f921(x46341,x46342)),f922(a915,a910)),f327(f327(f8(f922(f921(x46341,x46342),a910),f922(f922(a915,f921(x46341,x46342)),f922(a915,a910)),f921(x46341,x46342)),f8(f921(x46341,x46342),a910,a915)),a324)),f327(f327(f18(a915,x46342,f921(x46341,x46342)),f327(f327(f8(x46341,f922(x46342,f921(x46341,x46342)),a915),f252(x46341,x46342)),f327(f165(x46341),x46343))),f327(f165(x46342),x46344)))))),f327(f327(f7(a915,a915,a910),f235(a915)),f327(f327(f238(a915),f327(f191(f916(x46341)),x46343)),f327(f191(f916(x46342)),x46344)))))),f327(f173(f921(x46341,x46342)),f327(f327(f182(x46341,x46342),x46343),x46344)))
% 206.97/207.88 [4556]E(f327(f262(f921(x45561,x45562)),f327(f257(x45561,x45562,a910),f327(f327(f7(x45561,f922(x45562,a910),f922(x45562,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x45562,a910),f922(x45562,a910)),x45561),f8(a910,a910,x45562)),f327(f327(f8(a910,f922(a910,a910),x45561),a325),x45563))),x45564))),f327(f327(f254(x45561,x45562),f327(f262(x45561),x45563)),f327(f16(f922(x45562,a910),x45561),f327(f262(x45562),x45564))))
% 206.97/207.88 [4559]E(f327(f262(f921(x45591,x45592)),f327(f257(x45591,x45592,a910),f327(f327(f18(x45591,f922(x45592,a910),f922(x45592,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x45592,a910),f922(x45592,a910)),x45591),f8(a910,a910,x45592)),f327(f327(f8(a910,f922(a910,a910),x45591),a325),x45593))),x45594))),f327(f327(f254(x45591,x45592),f327(f262(x45591),x45593)),f327(f327(f8(f922(x45592,a910),f922(x45592,a910),x45591),f262(x45592)),x45594)))
% 206.97/207.88 [4571]E(f327(f262(x45711),f327(f327(f8(f922(x45712,a910),a910,x45711),f88(x45712)),f327(f327(f8(f922(x45712,a910),f922(x45712,a910),x45711),f327(f18(x45712,a910,a910),f327(f327(f8(a910,f922(a910,a910),x45712),a330),f327(f327(f7(x45712,f922(x45712,a910),a910),f329(x45712)),x45713)))),x45714))),f327(f327(f41(x45712,f922(x45711,a910)),x45713),f327(f327(f8(f922(x45711,a910),f922(x45711,a910),x45712),f262(x45711)),f327(f7(x45711,x45712,a910),x45714))))
% 206.97/207.88 [4616]E(f327(f327(f155(f921(x46161,a915),x46161),f251(x46161,a915)),f327(f137(f921(x46161,a915),f327(f327(f7(f921(x46161,a915),f922(a915,a910),a910),f327(f327(f8(a915,f922(f922(a915,a910),a910),f921(x46161,a915)),f329(a915)),f256(x46161,a915))),x46162)),f327(f327(f182(x46161,a915),x46163),f140(a915,f327(f302(a915,x46164),f327(f327(f80(a915),x46164),f327(f191(f916(x46161)),x46163))))))),f327(f327(f155(f921(x46161,a915),x46161),f251(x46161,a915)),f327(f137(f921(x46161,a915),f327(f327(f7(f921(x46161,a915),f922(a915,a910),a910),f327(f327(f8(a915,f922(f922(a915,a910),a910),f921(x46161,a915)),f329(a915)),f327(f327(f7(f921(x46161,a915),a915,a915),f327(f327(f8(a915,f922(a915,a915),f921(x46161,a915)),f80(a915)),f256(x46161,a915))),x46164))),x46162)),f327(f327(f182(x46161,a915),x46163),f140(a915,f327(f302(a915,f2(a915)),f327(f191(f916(x46161)),x46163)))))))
% 206.97/207.88 [4617]E(f327(a113,f327(f327(f189(a915),f327(f191(f916(x46171)),x46172)),f327(f143(a915,f916(x46173),f327(f7(f916(x46173),a915,a915),f327(f327(f8(a915,f922(a915,a915),f916(x46173)),f189(a915)),f327(f327(f7(f916(x46173),a915,a915),f327(f327(f8(a915,f922(a915,a915),f916(x46173)),f23(a915)),f191(f916(x46173)))),f327(a113,f2(a915))))),f2(a915)),f327(f169(f916(x46173)),f327(f137(f916(x46173),f327(f327(f8(a910,a910,f916(x46173)),a322),f327(f327(f7(f916(x46173),f916(x46173),a910),a324),f114(x46173)))),x46174))))),f327(f327(f189(a915),f327(a113,f327(f191(f916(x46171)),x46172))),f327(f143(a915,f916(x46173),f327(f7(f916(x46173),a915,a915),f327(f327(f8(a915,f922(a915,a915),f916(x46173)),f189(a915)),f191(f916(x46173)))),f2(a915)),f327(f169(f916(x46173)),x46174))))
% 206.97/207.88 [4570]E(f327(f327(f135(x45701),f177(x45701,x45702,x45703)),f177(x45701,x45704,f327(f262(a915),f327(f327(f7(a915,f922(a915,a910),a910),f327(f327(f8(a915,f922(f922(a915,a910),a910),a915),f329(a915)),f327(f327(f7(a915,a915,a915),f80(a915)),f327(f191(f916(x45701)),x45702)))),x45703)))),f177(x45701,f327(f327(f135(x45701),x45702),x45704),x45703))
% 206.97/207.88 [4618]E(f38(f922(x46181,a910),f327(f262(f922(x46181,a910)),f327(f327(f8(f922(x46182,a910),a910,f922(x46181,a910)),f87(x46182)),f327(f327(f8(f922(x46182,a910),f922(x46182,a910),f922(x46181,a910)),f327(f18(x46182,a910,a910),f327(f327(f8(a910,f922(a910,a910),x46182),a325),f327(f327(f7(x46182,f922(x46182,a910),a910),f329(x46182)),x46183)))),f327(f327(f7(f922(x46181,a910),f922(x46182,f922(x46181,a910)),f922(x46182,a910)),f327(f327(f8(f922(f922(x46181,a910),a910),f922(f922(x46182,f922(x46181,a910)),f922(x46182,a910)),f922(x46181,a910)),f8(f922(x46181,a910),a910,x46182)),a324)),x46184))))),f327(f327(f40(x46182,f922(x46181,a910)),x46183),x46184))
% 206.97/207.88 [4619]E(f39(f922(x46191,a910),f327(f262(f922(x46191,a910)),f327(f327(f8(f922(x46192,a910),a910,f922(x46191,a910)),f87(x46192)),f327(f327(f8(f922(x46192,a910),f922(x46192,a910),f922(x46191,a910)),f327(f18(x46192,a910,a910),f327(f327(f8(a910,f922(a910,a910),x46192),a325),f327(f327(f7(x46192,f922(x46192,a910),a910),f329(x46192)),x46193)))),f327(f327(f7(f922(x46191,a910),f922(x46192,f922(x46191,a910)),f922(x46192,a910)),f327(f327(f8(f922(f922(x46191,a910),a910),f922(f922(x46192,f922(x46191,a910)),f922(x46192,a910)),f922(x46191,a910)),f8(f922(x46191,a910),a910,x46192)),a324)),x46194))))),f327(f327(f41(x46192,f922(x46191,a910)),x46193),x46194))
% 206.97/207.88 [4627]E(f327(f327(f152(f916(x46271)),f327(f327(f152(x46271),x46272),f327(f143(f916(x46271),f916(x46271),f135(x46271),f114(x46271)),f327(f327(f155(f916(x46271),f916(x46271)),f157(f916(x46271),x46271,f114(x46271),f327(f327(f8(f916(x46271),f922(f916(x46271),f916(x46271)),x46271),f16(f916(x46271),f916(x46271))),f327(f327(f7(x46271,f916(x46271),f916(x46271)),f152(x46271)),f114(x46271))))),x46273)))),f180(x46271,f327(f327(f152(f916(x46271)),x46274),f327(f143(f916(f916(x46271)),f916(f916(x46271)),f135(f916(x46271)),f114(f916(x46271))),f327(f327(f155(f916(x46271),f916(f916(x46271))),f157(f916(f916(x46271)),x46271,f114(f916(x46271)),f327(f16(f922(f916(x46271),f916(f916(x46271))),x46271),f327(f327(f7(f916(x46271),f916(f916(x46271)),f916(f916(x46271))),f152(f916(x46271))),f114(f916(x46271)))))),x46273))))),f180(x46271,f327(f327(f152(f916(x46271)),f327(f327(f152(x46271),x46272),x46274)),x46273)))
% 206.97/207.88 [4635]E(f327(f262(f921(x46351,x46351)),f327(f257(x46351,x46351,a910),f327(f327(f7(x46351,f922(f921(x46352,x46352),a910),f922(x46351,a910)),f327(f327(f8(f922(x46351,f922(f922(f921(x46352,x46352),a910),a910)),f922(f922(f921(x46352,x46352),a910),f922(x46351,a910)),x46351),f7(x46351,f922(f921(x46352,x46352),a910),a910)),f327(f327(f8(f922(x46351,f921(x46352,x46352)),f922(x46351,f922(f922(f921(x46352,x46352),a910),a910)),x46351),f327(f8(f921(x46352,x46352),f922(f922(f921(x46352,x46352),a910),a910),x46351),f329(f921(x46352,x46352)))),f327(f327(f7(x46351,f922(x46351,x46352),f922(x46351,f921(x46352,x46352))),f327(f327(f8(f922(x46352,f921(x46352,x46352)),f922(f922(x46351,x46352),f922(x46351,f921(x46352,x46352))),x46351),f8(x46352,f921(x46352,x46352),x46351)),f327(f327(f8(x46352,f922(x46352,f921(x46352,x46352)),x46351),f252(x46352,x46352)),x46353))),x46353)))),x46354))),f327(f327(f288(x46352,x46351),x46354),x46353))
% 206.97/207.88 [4681]~E(f30(x46811,x46812),f27(x46813,x46814,x46815))
% 206.97/207.88 [4682]~E(f30(x46821,x46822),f26(x46823,x46824,x46825))
% 206.97/207.88 [4683]~E(f29(x46831,x46832),f27(x46833,x46834,x46835))
% 206.97/207.88 [4684]~E(f29(x46841,x46842),f26(x46843,x46844,x46845))
% 206.97/207.88 [4685]~E(f27(x46851,x46852,x46853),f30(x46854,x46855))
% 206.97/207.88 [4686]~E(f27(x46861,x46862,x46863),f29(x46864,x46865))
% 206.97/207.88 [4687]~E(f26(x46871,x46872,x46873),f30(x46874,x46875))
% 206.97/207.88 [4688]~E(f26(x46881,x46882,x46883),f29(x46884,x46885))
% 206.97/207.88 [3765]E(f327(f327(f155(x37651,x37652),x37653),f170(x37651,x37654,x37655)),f170(x37652,x37654,f327(x37653,x37655)))
% 206.97/207.88 [4102]E(f131(x41021,x41022,x41023,f127(x41021,x41024,x41025)),f127(x41022,f327(x41023,x41024),f131(x41021,x41022,x41023,x41025)))
% 206.97/207.88 [4335]E(f327(f74(x43351,x43352,x43353,x43354,x43355),x43354),x43355)
% 206.97/207.88 [4387]E(f253(x43871,x43872,x43873,f243(x43872,x43871,x43874),f243(x43873,x43872,x43875)),f243(x43873,x43871,f253(x43873,x43872,x43871,x43875,x43874)))
% 206.97/207.88 [3959]E(f327(f327(f257(x39591,x39592,x39593),x39594),x39595),f327(f327(x39594,f327(f251(x39591,x39592),x39595)),f327(f256(x39591,x39592),x39595)))
% 206.97/207.88 [3995]E(f327(f327(f327(f65(x39951,x39952,x39953),x39954),x39955),f190(f922(x39952,a910))),x39955)
% 206.97/207.88 [4275]E(f327(f72(f916(x42751),f916(x42752),f916(x42753),f327(f155(x42751,x42752),x42754)),f327(f155(x42753,x42751),x42755)),f327(f155(x42753,x42752),f327(f72(x42751,x42752,x42753,x42754),x42755)))
% 206.97/207.88 [4349]E(f85(x43491,f66(x43492,x43491,x43493,x43494,x43495)),f327(f327(f64(x43492,x43491,x43493),x43494),x43495))
% 206.97/207.88 [4383]E(f327(f327(f80(a915),f327(f327(f80(a915),f327(x43831,f327(f251(x43832,x43833),x43834))),f327(x43835,f327(f256(x43832,x43833),x43834)))),f327(a113,f2(a915))),f261(x43832,x43833,x43831,x43835,x43834))
% 206.97/207.88 [3895]E(f327(f327(f176(x38951),x38952),f327(f327(f155(x38953,x38951),x38954),x38955)),f327(f327(f155(x38953,x38951),x38954),f327(f327(f176(x38953),x38952),x38955)))
% 206.97/207.88 [3896]E(f327(f327(f139(x38961),x38962),f327(f327(f155(x38963,x38961),x38964),x38965)),f327(f327(f155(x38963,x38961),x38964),f327(f327(f139(x38963),x38962),x38965)))
% 206.97/207.88 [3928]E(f327(f327(f155(x39281,x39282),x39283),f327(f327(f152(x39281),x39284),x39285)),f327(f327(f152(x39282),f327(x39283,x39284)),f327(f327(f155(x39281,x39282),x39283),x39285)))
% 206.97/207.88 [3989]E(f327(f310(x39891,x39892,x39893),f327(f327(f309(x39891),x39894),x39895)),f327(f327(f309(x39892),f327(x39893,x39894)),f327(f310(x39891,x39892,x39893),x39895)))
% 206.97/207.88 [4019]E(f174(x40191,f327(f327(f152(x40191),x40192),x40193),f327(f327(f152(x40191),x40194),x40195)),f327(f327(f152(x40191),x40192),f327(f327(f152(x40191),x40194),f174(x40191,x40193,x40195))))
% 206.97/207.88 [4056]E(f327(f327(f182(x40561,x40562),f327(f327(f176(x40561),x40563),x40564)),f327(f327(f176(x40562),x40563),x40565)),f327(f327(f176(f921(x40561,x40562)),x40563),f327(f327(f182(x40561,x40562),x40564),x40565)))
% 206.97/207.88 [4057]E(f327(f327(f182(x40571,x40572),f327(f327(f139(x40571),x40573),x40574)),f327(f327(f139(x40572),x40573),x40575)),f327(f327(f139(f921(x40571,x40572)),x40573),f327(f327(f182(x40571,x40572),x40574),x40575)))
% 206.97/207.88 [4067]E(f327(f327(f160(x40671,f327(f327(f152(x40671),x40672),x40673)),f327(a113,x40674)),x40675),f327(f327(f152(x40671),x40672),f327(f327(f160(x40671,x40673),x40674),x40675)))
% 206.97/207.88 [4070]E(f327(f327(f135(x40701),f327(f327(f155(x40702,x40701),x40703),x40704)),f327(f327(f155(x40702,x40701),x40703),x40705)),f327(f327(f155(x40702,x40701),x40703),f327(f327(f135(x40702),x40704),x40705)))
% 206.97/207.88 [4074]E(f327(f327(x40741,x40742),f327(f327(f245(x40743,x40744,x40741),x40742),x40745)),f327(f327(f245(x40743,x40744,x40741),x40742),f327(a113,x40745)))
% 206.97/207.88 [4106]E(f164(x41061,x41062,x41063,f327(f327(f152(x41061),x41064),x41065)),f327(f327(f135(x41062),f327(x41063,x41064)),f164(x41061,x41062,x41063,x41065)))
% 206.97/207.88 [4118]E(f327(f327(f289(x41181,x41182,x41183),f327(f286(x41182,x41181),x41184)),f327(f286(x41183,x41182),x41185)),f327(f286(x41183,x41181),f327(f327(f289(x41183,x41182,x41181),x41185),x41184)))
% 206.97/207.88 [4150]E(f327(f327(f327(f184(f916(x41501),f916(x41501)),x41502),f168(x41501)),f327(f327(f155(x41503,x41501),x41504),x41505)),f327(f327(f155(x41503,x41501),x41504),f327(f327(f327(f184(f916(x41503),f916(x41503)),x41502),f168(x41503)),x41505)))
% 206.97/207.88 [4151]E(f327(f327(f259(x41511,x41512,x41511,x41513),f327(f252(x41512,x41511),x41514)),x41515),f327(x41515,x41514))
% 206.97/207.88 [4177]E(f156(x41771,x41772,f327(f327(f155(x41773,x41771),x41774),x41775)),f156(x41773,f327(f72(x41771,a915,x41773,x41772),x41774),x41775))
% 206.97/207.88 [4240]E(f178(f921(x42401,x42402),f327(f72(x42402,a910,f921(x42401,x42402),x42403),f256(x42401,x42402)),f327(f327(f182(x42401,x42402),x42404),x42405)),f327(f327(f182(x42401,x42402),x42404),f178(x42402,x42403,x42405)))
% 206.97/207.88 [4245]E(f327(f310(x42451,x42452,f327(f327(f8(x42453,x42452,x42451),x42454),x42455)),f242(f922(x42451,a910))),f327(f310(x42453,x42452,x42454),f327(f310(x42451,x42453,x42455),f242(f922(x42451,a910)))))
% 206.97/207.88 [4258]E(f178(f921(x42581,x42582),f327(f72(x42581,a910,f921(x42581,x42582),x42583),f251(x42581,x42582)),f327(f327(f182(x42581,x42582),x42584),x42585)),f327(f327(f182(x42581,x42582),f178(x42581,x42583,x42584)),x42585))
% 206.97/207.88 [4279]E(f327(f327(f102(f922(x42791,a910)),f327(f311(x42791,x42792,x42793),f327(f327(f309(x42792),x42794),f190(f922(x42792,a910))))),f327(f311(x42791,x42792,x42793),x42795)),f327(f311(x42791,x42792,x42793),f327(f327(f309(x42792),x42794),x42795)))
% 206.97/207.88 [4334]E(f327(f327(f135(f921(x43341,x43342)),f327(f327(f155(x43342,f921(x43341,x43342)),f327(f252(x43341,x43342),x43343)),x43344)),f60(x43341,x43342,x43345,x43344)),f60(x43341,x43342,f327(f327(f152(x43341),x43343),x43345),x43344))
% 206.97/207.88 [4336]E(f327(f327(f155(x43361,x43362),x43363),f178(x43361,f327(f72(x43362,a910,x43361,x43364),x43363),x43365)),f178(x43362,x43364,f327(f327(f155(x43361,x43362),x43363),x43365)))
% 206.97/207.88 [4341]E(f327(f143(x43411,x43412,f327(f7(x43412,x43411,x43411),f327(f7(x43411,x43412,x43411),x43413)),x43414),f327(f169(x43412),f327(f169(x43412),x43415))),f327(f143(x43411,x43412,x43413,x43414),x43415))
% 206.97/207.88 [4444]P1(f327(f327(f234(f922(x44441,a910)),f327(f310(x44442,x44441,x44443),f327(f327(f103(f922(x44442,a910)),x44444),x44445))),f327(f327(f103(f922(x44441,a910)),f327(f310(x44442,x44441,x44443),x44444)),f327(f310(x44442,x44441,x44443),x44445))))
% 206.97/207.88 [4445]P1(f327(f327(f234(f922(x44451,a910)),f327(f285(x44452,x44451,x44453),f327(f327(f103(f922(x44452,a910)),x44454),x44455))),f327(f327(f103(f922(x44451,a910)),f327(f285(x44452,x44451,x44453),x44454)),f327(f285(x44452,x44451,x44453),x44455))))
% 206.97/207.88 [4544]E(f327(f256(x45441,x45442),f327(f258(x45443,x45441,x45442,x45442,x45444,f31(x45442)),x45445)),f327(f256(x45443,x45442),x45445))
% 206.97/207.88 [4545]E(f327(f251(x45451,x45452),f327(f258(x45451,x45451,x45453,x45452,f31(x45451),x45454),x45455)),f327(f251(x45451,x45453),x45455))
% 206.97/207.88 [4633]P22(x46331,x46332,f327(f327(f309(f913(x46331)),f327(f327(f327(f91(x46331),f327(f327(f7(x46331,f922(a911,a910),f922(a911,a910)),f327(f327(f8(f922(a911,f922(a910,a910)),f922(f922(a911,a910),f922(a911,a910)),x46331),f18(a911,a910,a910)),f327(f327(f8(f922(a911,a910),f922(a911,f922(a910,a910)),x46331),f327(f8(a910,f922(a910,a910),a911),a325)),x46333))),f327(f327(f8(a910,a910,a911),a322),x46334))),f29(x46334,x46335)),x46333)),f190(f922(f913(x46331),a910))))
% 206.97/207.88 [3735]E(f327(f327(f327(f327(f206(x37351),x37352),x37353),x37354),x37355),f194(x37351,x37352))
% 206.97/207.88 [3736]E(f327(f327(f327(f327(f210(x37361),x37362),x37363),x37364),x37365),f201(x37361,x37362))
% 206.97/207.88 [3781]E(f94(x37811,x37812,f327(f327(f327(f91(x37811),x37813),x37814),x37815)),f2(a915))
% 206.97/207.88 [4107]E(f327(f327(f40(x41071,f922(x41072,a910)),f327(f327(f309(x41071),x41073),x41074)),x41075),f327(f327(f102(f922(x41072,a910)),f327(x41075,x41073)),f327(f327(f40(x41071,f922(x41072,a910)),x41074),x41075)))
% 206.97/207.88 [4108]E(f327(f327(f41(x41081,f922(x41082,a910)),f327(f327(f309(x41081),x41083),x41084)),x41085),f327(f327(f103(f922(x41082,a910)),f327(x41085,x41083)),f327(f327(f41(x41081,f922(x41082,a910)),x41084),x41085)))
% 206.97/207.88 [4158]E(f327(f119(x41581,x41582,f327(x41583,x41584)),f327(f327(f7(x41581,a100,f917(x41582)),x41585),x41584)),f327(f199(x41581,x41582,x41583,x41585),x41584))
% 206.97/207.88 [4171]E(f327(f327(f102(f922(x41711,a910)),f327(f310(x41712,x41711,x41713),x41714)),f327(f310(x41712,x41711,x41713),x41715)),f327(f310(x41712,x41711,x41713),f327(f327(f102(f922(x41712,a910)),x41714),x41715)))
% 206.97/207.88 [4172]E(f327(f327(f23(f922(x41721,a910)),f327(f311(x41721,x41722,x41723),x41724)),f327(f311(x41721,x41722,x41723),x41725)),f327(f311(x41721,x41722,x41723),f327(f327(f23(f922(x41722,a910)),x41724),x41725)))
% 206.97/207.88 [4173]E(f327(f327(f102(f922(x41731,a910)),f327(f311(x41731,x41732,x41733),x41734)),f327(f311(x41731,x41732,x41733),x41735)),f327(f311(x41731,x41732,x41733),f327(f327(f102(f922(x41732,a910)),x41734),x41735)))
% 206.97/207.88 [4174]E(f327(f327(f103(f922(x41741,a910)),f327(f311(x41741,x41742,x41743),x41744)),f327(f311(x41741,x41742,x41743),x41745)),f327(f311(x41741,x41742,x41743),f327(f327(f103(f922(x41742,a910)),x41744),x41745)))
% 206.97/207.88 [4175]E(f327(f327(f102(f922(x41751,a910)),f327(f285(x41752,x41751,x41753),x41754)),f327(f285(x41752,x41751,x41753),x41755)),f327(f285(x41752,x41751,x41753),f327(f327(f102(f922(x41752,a910)),x41754),x41755)))
% 206.97/207.88 [4236]E(f327(f327(f160(x42361,f327(f327(f135(x42361),x42362),f327(f327(f152(x42361),x42363),x42364))),f327(f191(f916(x42361)),x42362)),x42365),f327(f327(f135(x42361),x42362),f327(f327(f152(x42361),x42365),x42364)))
% 206.97/207.88 [4243]E(f327(f327(f41(x42431,f922(x42432,a910)),x42433),f327(f327(f8(f922(x42432,a910),f922(x42432,a910),x42431),f327(f309(x42432),x42434)),x42435)),f327(f327(f309(x42432),x42434),f327(f327(f41(x42431,f922(x42432,a910)),x42433),x42435)))
% 206.97/207.88 [4396]E(f327(f327(f155(x43961,x43962),x43963),f327(f137(x43961,f327(f72(x43962,a910,x43961,x43964),x43963)),x43965)),f327(f137(x43962,x43964),f327(f327(f155(x43961,x43962),x43963),x43965)))
% 206.97/207.88 [4402]E(f327(f191(f916(x44021)),f327(f137(x44021,x44022),f327(f327(f155(x44023,x44021),x44024),x44025))),f327(f191(f916(x44023)),f327(f137(x44023,f327(f72(x44021,a910,x44023,x44022),x44024)),x44025)))
% 206.97/207.88 [4609]E(f327(f157(f916(f921(x46091,x46092)),x46092,f114(f921(x46091,x46092)),f327(f327(f7(x46092,f922(f916(x46092),f916(f921(x46091,x46092))),f922(f916(x46092),f916(f921(x46091,x46092)))),f327(f327(f8(f922(f916(f921(x46091,x46092)),f916(f921(x46091,x46092))),f922(f922(f916(x46092),f916(f921(x46091,x46092))),f922(f916(x46092),f916(f921(x46091,x46092)))),x46092),f8(f916(f921(x46091,x46092)),f916(f921(x46091,x46092)),f916(x46092))),f327(f327(f8(f921(x46091,x46092),f922(f916(f921(x46091,x46092)),f916(f921(x46091,x46092))),x46092),f152(f921(x46091,x46092))),f327(f252(x46091,x46092),x46093)))),f327(f182(x46091,x46092),x46094))),x46095),f327(f327(f182(x46091,x46092),f327(f327(f152(x46091),x46093),x46094)),x46095))
% 206.97/207.88 [4099]E(f327(f327(f160(x40991,f327(f327(f160(x40991,x40992),x40993),x40994)),x40993),x40995),f327(f327(f160(x40991,x40992),x40993),x40995))
% 206.97/207.88 [4152]E(f327(f284(x41521,x41522),f327(f327(f309(f921(x41521,x41522)),f327(f327(f252(x41521,x41522),x41523),x41524)),x41525)),f327(f327(f309(x41522),x41524),f327(f284(x41521,x41522),x41525)))
% 206.97/207.88 [4153]E(f327(f264(x41531,x41532),f327(f327(f309(f921(x41531,x41532)),f327(f327(f252(x41531,x41532),x41533),x41534)),x41535)),f327(f327(f309(x41531),x41533),f327(f264(x41531,x41532),x41535)))
% 206.97/207.88 [4201]E(f123(x42011,x42012,f327(x42013,x42014),f327(f327(f7(x42011,a100,f917(f918(x42012))),x42015),x42014)),f327(f197(x42011,x42012,x42013,x42015),x42014))
% 206.97/207.88 [4229]E(f327(f327(f23(f922(f921(x42291,x42292),a910)),f327(f327(f254(x42291,x42292),x42293),x42294)),f327(f327(f254(x42291,x42292),x42295),x42294)),f327(f327(f254(x42291,x42292),f327(f327(f23(f922(x42291,a910)),x42293),x42295)),x42294))
% 206.97/207.88 [4230]E(f327(f327(f102(f922(f921(x42301,x42302),a910)),f327(f327(f254(x42301,x42302),x42303),x42304)),f327(f327(f254(x42301,x42302),x42305),x42304)),f327(f327(f254(x42301,x42302),f327(f327(f102(f922(x42301,a910)),x42303),x42305)),x42304))
% 206.97/207.88 [4231]E(f327(f327(f103(f922(f921(x42311,x42312),a910)),f327(f327(f254(x42311,x42312),x42313),x42314)),f327(f327(f254(x42311,x42312),x42315),x42314)),f327(f327(f254(x42311,x42312),f327(f327(f103(f922(x42311,a910)),x42313),x42315)),x42314))
% 206.97/207.88 [4290]E(f327(f327(f102(f922(x42901,a910)),f327(f327(f40(x42902,f922(x42901,a910)),x42903),x42904)),f327(f327(f40(x42902,f922(x42901,a910)),x42905),x42904)),f327(f327(f40(x42902,f922(x42901,a910)),f327(f327(f102(f922(x42902,a910)),x42903),x42905)),x42904))
% 206.97/207.88 [4291]E(f327(f327(f103(f922(x42911,a910)),f327(f327(f41(x42912,f922(x42911,a910)),x42913),x42914)),f327(f327(f41(x42912,f922(x42911,a910)),x42915),x42914)),f327(f327(f41(x42912,f922(x42911,a910)),f327(f327(f102(f922(x42912,a910)),x42913),x42915)),x42914))
% 206.97/207.88 [4305]E(f327(f327(f40(x43051,f922(x43052,a910)),x43053),f327(f327(f8(f922(x43052,a910),f922(x43052,a910),x43051),f327(f23(f922(x43052,a910)),x43054)),x43055)),f327(f327(f23(f922(x43052,a910)),x43054),f327(f327(f41(x43051,f922(x43052,a910)),x43053),x43055)))
% 206.97/207.88 [4306]E(f327(f327(f40(x43061,f922(x43062,a910)),x43063),f327(f327(f8(f922(x43062,a910),f922(x43062,a910),x43061),f327(f103(f922(x43062,a910)),x43064)),x43065)),f327(f327(f103(f922(x43062,a910)),x43064),f327(f327(f40(x43061,f922(x43062,a910)),x43063),x43065)))
% 206.97/207.88 [4307]E(f327(f327(f41(x43071,f922(x43072,a910)),x43073),f327(f327(f8(f922(x43072,a910),f922(x43072,a910),x43071),f327(f102(f922(x43072,a910)),x43074)),x43075)),f327(f327(f102(f922(x43072,a910)),x43074),f327(f327(f41(x43071,f922(x43072,a910)),x43073),x43075)))
% 206.97/207.88 [4361]E(f186(f916(x43611),f327(f327(f152(x43611),x43612),x43613),f327(f327(f8(f916(x43611),f916(x43611),a915),f327(f152(x43611),x43614)),f327(f327(f7(a915,x43611,f916(x43611)),f160(x43611,x43613)),x43612)),x43615),f327(f327(f160(x43611,f327(f327(f152(x43611),x43614),x43613)),x43615),x43612))
% 206.97/207.88 [4365]E(f327(f327(f40(x43651,f922(f921(x43652,x43653),a910)),x43654),f327(f327(f8(f922(f921(x43653,x43652),a910),f922(f921(x43652,x43653),a910),x43651),f286(x43653,x43652)),x43655)),f327(f286(x43653,x43652),f327(f327(f40(x43651,f922(f921(x43653,x43652),a910)),x43654),x43655)))
% 206.97/207.88 [4366]E(f327(f327(f41(x43661,f922(f921(x43662,x43663),a910)),x43664),f327(f327(f8(f922(f921(x43663,x43662),a910),f922(f921(x43662,x43663),a910),x43661),f286(x43663,x43662)),x43665)),f327(f286(x43663,x43662),f327(f327(f41(x43661,f922(f921(x43663,x43662),a910)),x43664),x43665)))
% 206.97/207.88 [4467]P1(f327(f327(f234(f922(x44671,a910)),f327(f327(f23(f922(x44671,a910)),f327(f310(x44672,x44671,x44673),x44674)),f327(f310(x44672,x44671,x44673),x44675))),f327(f310(x44672,x44671,x44673),f327(f327(f23(f922(x44672,a910)),x44674),x44675))))
% 206.97/207.88 [4612]E(f327(f157(f916(f921(x46121,x46122)),x46121,f114(f921(x46121,x46122)),f327(f327(f7(x46121,f922(f916(x46121),f916(f921(x46121,x46122))),f922(f916(x46121),f916(f921(x46121,x46122)))),f327(f327(f8(f922(f916(f921(x46121,x46122)),f916(f921(x46121,x46122))),f922(f922(f916(x46121),f916(f921(x46121,x46122))),f922(f916(x46121),f916(f921(x46121,x46122)))),x46121),f8(f916(f921(x46121,x46122)),f916(f921(x46121,x46122)),f916(x46121))),f327(f327(f8(f921(x46121,x46122),f922(f916(f921(x46121,x46122)),f916(f921(x46121,x46122))),x46121),f152(f921(x46121,x46122))),f327(f327(f7(x46121,x46122,f921(x46121,x46122)),f252(x46121,x46122)),x46123)))),f327(f327(f7(f916(x46121),f916(x46122),f916(f921(x46121,x46122))),f182(x46121,x46122)),x46124))),x46125),f327(f327(f182(x46121,x46122),x46125),f327(f327(f152(x46122),x46123),x46124)))
% 206.97/207.88 [4330]E(f327(f327(f102(f922(x43301,a910)),f327(f285(x43302,x43301,x43303),x43304)),f327(f285(x43302,x43301,x43305),x43304)),f327(f285(x43302,x43301,f327(f327(f102(f922(f921(x43302,x43301),a910)),x43303),x43305)),x43304))
% 206.97/207.88 [4367]E(f327(f327(f135(f921(x43671,x43672)),f327(f327(f182(x43671,x43672),x43673),f327(f327(f176(x43672),f327(f191(f916(x43671)),x43673)),x43674))),f327(f327(f182(x43671,x43672),x43675),f327(f327(f139(x43672),f327(f191(f916(x43671)),x43673)),x43674))),f327(f327(f182(x43671,x43672),f327(f327(f135(x43671),x43673),x43675)),x43674))
% 206.97/207.88 [4470]E(f327(f327(f254(x44701,x44702),x44703),f327(f327(f18(x44701,f922(x44702,a910),f922(x44702,a910)),f327(f327(f8(f922(x44702,a910),f922(f922(x44702,a910),f922(x44702,a910)),x44701),f23(f922(x44702,a910))),x44704)),x44705)),f327(f327(f23(f922(f921(x44701,x44702),a910)),f327(f327(f254(x44701,x44702),x44703),x44704)),f327(f327(f254(x44701,x44702),x44703),x44705)))
% 206.97/207.88 [4471]E(f327(f327(f254(x44711,x44712),x44713),f327(f327(f18(x44711,f922(x44712,a910),f922(x44712,a910)),f327(f327(f8(f922(x44712,a910),f922(f922(x44712,a910),f922(x44712,a910)),x44711),f102(f922(x44712,a910))),x44714)),x44715)),f327(f327(f102(f922(f921(x44711,x44712),a910)),f327(f327(f254(x44711,x44712),x44713),x44714)),f327(f327(f254(x44711,x44712),x44713),x44715)))
% 206.97/207.88 [4472]E(f327(f327(f254(x44721,x44722),x44723),f327(f327(f18(x44721,f922(x44722,a910),f922(x44722,a910)),f327(f327(f8(f922(x44722,a910),f922(f922(x44722,a910),f922(x44722,a910)),x44721),f103(f922(x44722,a910))),x44724)),x44725)),f327(f327(f103(f922(f921(x44721,x44722),a910)),f327(f327(f254(x44721,x44722),x44723),x44724)),f327(f327(f254(x44721,x44722),x44723),x44725)))
% 206.97/207.88 [4476]E(f327(f327(f40(x44761,f922(x44762,a910)),x44763),f327(f327(f7(x44761,f922(x44762,a910),f922(x44762,a910)),f327(f327(f8(f922(x44762,a910),f922(f922(x44762,a910),f922(x44762,a910)),x44761),f23(f922(x44762,a910))),x44764)),x44765)),f327(f327(f23(f922(x44762,a910)),f327(f327(f40(x44761,f922(x44762,a910)),x44763),x44764)),x44765))
% 206.97/207.88 [4477]E(f327(f327(f40(x44771,f922(x44772,a910)),x44773),f327(f327(f7(x44771,f922(x44772,a910),f922(x44772,a910)),f327(f327(f8(f922(x44772,a910),f922(f922(x44772,a910),f922(x44772,a910)),x44771),f103(f922(x44772,a910))),x44774)),x44775)),f327(f327(f103(f922(x44772,a910)),f327(f327(f40(x44771,f922(x44772,a910)),x44773),x44774)),x44775))
% 206.97/207.88 [4478]E(f327(f327(f41(x44781,f922(x44782,a910)),x44783),f327(f327(f7(x44781,f922(x44782,a910),f922(x44782,a910)),f327(f327(f8(f922(x44782,a910),f922(f922(x44782,a910),f922(x44782,a910)),x44781),f102(f922(x44782,a910))),x44784)),x44785)),f327(f327(f102(f922(x44782,a910)),f327(f327(f41(x44781,f922(x44782,a910)),x44783),x44784)),x44785))
% 206.97/207.88 [4482]E(f327(f327(f40(x44821,f922(x44822,a910)),x44823),f327(f327(f18(x44821,f922(x44822,a910),f922(x44822,a910)),f327(f327(f8(f922(x44822,a910),f922(f922(x44822,a910),f922(x44822,a910)),x44821),f102(f922(x44822,a910))),x44824)),x44825)),f327(f327(f102(f922(x44822,a910)),f327(f327(f40(x44821,f922(x44822,a910)),x44823),x44824)),f327(f327(f40(x44821,f922(x44822,a910)),x44823),x44825)))
% 206.97/207.88 [4483]E(f327(f327(f41(x44831,f922(x44832,a910)),x44833),f327(f327(f18(x44831,f922(x44832,a910),f922(x44832,a910)),f327(f327(f8(f922(x44832,a910),f922(f922(x44832,a910),f922(x44832,a910)),x44831),f103(f922(x44832,a910))),x44834)),x44835)),f327(f327(f103(f922(x44832,a910)),f327(f327(f41(x44831,f922(x44832,a910)),x44833),x44834)),f327(f327(f41(x44831,f922(x44832,a910)),x44833),x44835)))
% 206.97/207.88 [4496]E(f327(f327(f40(x44961,f922(x44962,a910)),x44963),f327(f327(f18(x44961,f922(x44962,a910),f922(x44962,a910)),f327(f327(f8(f922(x44962,a910),f922(f922(x44962,a910),f922(x44962,a910)),x44961),f102(f922(x44962,a910))),x44964)),x44965)),f327(f327(f102(f922(x44962,a910)),f38(f922(x44962,a910),f327(f310(x44961,f922(x44962,a910),x44964),x44963))),f38(f922(x44962,a910),f327(f310(x44961,f922(x44962,a910),x44965),x44963))))
% 206.97/207.88 [4497]E(f327(f327(f41(x44971,f922(x44972,a910)),x44973),f327(f327(f18(x44971,f922(x44972,a910),f922(x44972,a910)),f327(f327(f8(f922(x44972,a910),f922(f922(x44972,a910),f922(x44972,a910)),x44971),f103(f922(x44972,a910))),x44974)),x44975)),f327(f327(f103(f922(x44972,a910)),f39(f922(x44972,a910),f327(f310(x44971,f922(x44972,a910),x44974),x44973))),f39(f922(x44972,a910),f327(f310(x44971,f922(x44972,a910),x44975),x44973))))
% 206.97/207.88 [4533]E(f327(f327(f139(x45331),f327(f191(f916(x45331)),f178(x45331,x45332,f327(f327(f155(x45333,x45331),x45334),x45335)))),f327(f327(f155(x45333,x45331),x45334),x45335)),f327(f327(f155(x45333,x45331),x45334),f327(f327(f139(x45333),f327(f191(f916(x45333)),f178(x45333,f327(f72(x45331,a910,x45333,x45332),x45334),x45335))),x45335)))
% 206.97/207.88 [4409]E(f327(f327(f135(f921(x44091,x44092)),f327(f327(f182(x44091,x44092),f327(f327(f176(x44091),f327(f191(f916(x44092)),x44093)),x44094)),x44093)),f327(f327(f182(x44091,x44092),f327(f327(f139(x44091),f327(f191(f916(x44092)),x44093)),x44094)),x44095)),f327(f327(f182(x44091,x44092),x44094),f327(f327(f135(x44092),x44093),x44095)))
% 206.97/207.88 [4524]E(f85(x45241,f327(f327(f18(x45241,a910,a910),f327(f327(f8(a910,f922(a910,a910),x45241),a325),f327(f327(f7(x45241,f922(x45241,a910),a910),f329(x45241)),x45242))),f327(f327(f7(x45241,x45243,a910),f327(f327(f8(x45243,f922(x45243,a910),x45241),a324),x45244)),x45245))),f327(f77(x45241,x45243,x45242,x45244),x45245))
% 206.97/207.88 [4525]E(f90(x45251,f327(f327(f18(x45251,a910,a910),f327(f327(f8(a910,f922(a910,a910),x45251),a325),f327(f327(f7(x45251,f922(x45251,a910),a910),f329(x45251)),x45252))),f327(f327(f7(x45251,x45253,a910),f327(f327(f8(x45253,f922(x45253,a910),x45251),a324),x45254)),x45255))),f327(f92(x45251,x45253,x45252,x45254),x45255))
% 206.97/207.88 [4573]E(f327(f327(f86(a1,x45731),f327(f105(a1),f327(f327(f80(a1),x45732),a98))),f327(f327(f18(a1,x45731,x45731),f327(f327(f7(a1,x45731,f922(x45731,x45731)),f327(f327(f8(a910,f922(x45731,f922(x45731,x45731)),a1),f97(x45731)),a195)),f186(x45731,x45733,x45734,x45735))),f327(f327(f8(a915,x45731,a1),x45734),f327(f327(f7(a1,a915,a915),f327(f327(f8(a915,f922(a915,a915),a1),f80(a915)),a106)),x45735)))),f186(x45731,x45733,x45734,f327(f327(f80(a915),f327(f105(a915),x45732)),x45735)))
% 206.97/207.88 [4608]E(f327(f327(f86(a1,x46081),f327(f105(a1),f327(f327(f80(a1),x46082),a98))),f327(f327(f18(a1,x46081,x46081),f327(f327(f7(a1,x46081,f922(x46081,x46081)),f327(f327(f8(a910,f922(x46081,f922(x46081,x46081)),a1),f97(x46081)),a195)),f327(f185(x46081,x46083,x46084),x46085))),f327(f327(f18(a1,x46081,x46081),f327(f327(f8(a915,f922(x46081,x46081),a1),x46084),f327(f327(f7(a1,a915,a915),f327(f327(f8(a915,f922(a915,a915),a1),f80(a915)),a106)),x46085))),f327(f327(f8(a915,x46081,a1),f185(x46081,x46083,x46084)),f327(f327(f7(a1,a915,a915),f327(f327(f8(a915,f922(a915,a915),a1),f80(a915)),a106)),x46085))))),f327(f185(x46081,x46083,x46084),f327(f327(f80(a915),f327(f105(a915),x46082)),x46085)))
% 206.97/207.88 [4643]E(f327(f262(f921(x46431,x46432)),f327(f257(x46431,x46432,a910),f327(f327(f8(f922(x46432,f922(x46433,a910)),f922(x46432,a910),x46431),f327(f8(f922(x46433,a910),a910,x46432),f87(x46433))),f327(f327(f7(x46431,f922(x46432,f922(x46433,a910)),f922(x46432,f922(x46433,a910))),f327(f327(f8(f922(f922(x46433,a910),f922(x46433,a910)),f922(f922(x46432,f922(x46433,a910)),f922(x46432,f922(x46433,a910))),x46431),f8(f922(x46433,a910),f922(x46433,a910),x46432)),f327(f327(f8(f922(x46433,f922(a910,a910)),f922(f922(x46433,a910),f922(x46433,a910)),x46431),f18(x46433,a910,a910)),f327(f327(f8(f922(x46433,a910),f922(x46433,f922(a910,a910)),x46431),f327(f8(a910,f922(a910,a910),x46433),a325)),f327(f327(f7(x46431,f922(f921(x46431,x46433),a910),f922(x46433,a910)),f327(f327(f8(f922(x46433,f922(f922(f921(x46431,x46433),a910),a910)),f922(f922(f921(x46431,x46433),a910),f922(x46433,a910)),x46431),f7(x46433,f922(f921(x46431,x46433),a910),a910)),f327(f327(f8(f922(x46433,f921(x46431,x46433)),f922(x46433,f922(f922(f921(x46431,x46433),a910),a910)),x46431),f327(f8(f921(x46431,x46433),f922(f922(f921(x46431,x46433),a910),a910),x46433),f329(f921(x46431,x46433)))),f252(x46431,x46433)))),x46434))))),f327(f327(f7(x46432,f922(f921(x46433,x46432),a910),f922(x46433,a910)),f327(f327(f8(f922(x46433,f922(f922(f921(x46433,x46432),a910),a910)),f922(f922(f921(x46433,x46432),a910),f922(x46433,a910)),x46432),f7(x46433,f922(f921(x46433,x46432),a910),a910)),f327(f327(f8(f922(x46433,f921(x46433,x46432)),f922(x46433,f922(f922(f921(x46433,x46432),a910),a910)),x46432),f327(f8(f921(x46433,x46432),f922(f922(f921(x46433,x46432),a910),a910),x46433),f329(f921(x46433,x46432)))),f327(f7(x46433,x46432,f921(x46433,x46432)),f252(x46433,x46432))))),x46435))))),f327(f327(f289(x46431,x46433,x46432),x46434),x46435))
% 206.97/207.88 [4708]~E(f26(x47081,x47082,x47083),f27(x47084,x47085,x47086))
% 206.97/207.88 [4259]E(f226(x42591,x42592,x42593,x42594,f222(x42591,x42592,x42595,x42596)),f327(f327(x42594,x42595),x42596))
% 206.97/207.88 [4260]E(f227(x42601,x42602,x42603,x42604,f222(x42601,x42602,x42605,x42606)),f327(f327(x42604,x42605),x42606))
% 206.97/207.88 [4385]E(f128(x43851,x43852,x43853,x43854,f127(x43852,x43855,x43856)),f327(f327(f327(x43854,x43855),x43856),f128(x43851,x43852,x43853,x43854,x43856)))
% 206.97/207.88 [4404]E(f74(x44041,x44042,f74(x44041,x44042,x44043,x44044,x44045),x44044,x44046),f74(x44041,x44042,x44043,x44044,x44046))
% 206.97/207.88 [4512]E(f327(f72(f921(x45121,x45122),x45122,f921(x45123,x45124),f256(x45121,x45122)),f258(x45123,x45121,x45124,x45122,x45125,x45126)),f327(f72(x45124,x45122,f921(x45123,x45124),x45126),f256(x45123,x45124)))
% 206.97/207.88 [4513]E(f327(f72(f921(x45131,x45132),x45131,f921(x45133,x45134),f251(x45131,x45132)),f258(x45133,x45131,x45134,x45132,x45135,x45136)),f327(f72(x45133,x45131,f921(x45133,x45134),x45135),f251(x45133,x45134)))
% 206.97/207.88 [4128]E(f327(f327(f72(x41281,x41282,x41283,x41284),x41285),x41286),f327(x41284,f327(x41285,x41286)))
% 206.97/207.88 [4269]E(f225(x42691,f921(x42692,f917(x42692)),x42693,f327(f257(x42692,f917(x42692),x42691),x42694),f327(f136(x42692),f127(x42692,x42695,x42696))),f327(f327(x42694,x42695),x42696))
% 206.97/207.88 [4319]E(f228(x43191,x43192,x43193,x43194,f222(x43191,x43192,x43195,x43196)),f327(f327(f80(a915),f327(f327(f80(a915),f327(x43193,x43195)),f327(x43194,x43196))),f327(a113,f2(a915))))
% 206.97/207.88 [3926]E(f327(f327(f257(x39261,x39262,x39263),x39264),f327(f327(f252(x39261,x39262),x39265),x39266)),f327(f327(x39264,x39265),x39266))
% 206.97/207.88 [3986]E(f327(f327(f327(f8(x39861,x39862,x39863),x39864),x39865),x39866),f327(x39864,f327(x39865,x39866)))
% 206.97/207.88 [3987]E(f327(f327(f327(f7(x39871,x39872,x39873),x39874),x39875),x39876),f327(f327(x39874,x39876),x39875))
% 206.97/207.88 [4005]E(f327(f327(f327(f18(x40051,x40052,x40053),x40054),x40055),x40056),f327(f327(x40054,x40056),f327(x40055,x40056)))
% 206.97/207.88 [4028]E(f327(f157(x40281,x40282,x40283,x40284),f327(f327(f152(x40282),x40285),x40286)),f327(f327(x40284,x40285),x40286))
% 206.97/207.88 [4066]E(f170(f921(x40661,x40662),f327(f327(f238(a915),x40663),x40664),f327(f327(f252(x40661,x40662),x40665),x40666)),f327(f327(f182(x40661,x40662),f170(x40661,x40663,x40665)),f170(x40662,x40664,x40666)))
% 206.97/207.88 [4132]E(f327(f327(f152(f921(x41321,x41322)),f327(f327(f252(x41321,x41322),x41323),x41324)),f327(f327(f182(x41321,x41322),x41325),x41326)),f327(f327(f182(x41321,x41322),f327(f327(f152(x41321),x41323),x41325)),f327(f327(f152(x41322),x41324),x41326)))
% 206.97/207.88 [4133]E(f327(f327(f155(x41331,x41332),x41333),f327(f327(f160(x41331,x41334),x41335),x41336)),f327(f327(f160(x41332,f327(f327(f155(x41331,x41332),x41333),x41334)),x41335),f327(x41333,x41336)))
% 206.97/207.88 [4157]E(f327(f327(f255(x41571,x41572,x41573,x41574),x41575),x41576),f327(x41574,f327(f327(f252(x41571,x41572),x41575),x41576)))
% 206.97/207.88 [4176]E(f327(f143(x41761,x41762,x41763,x41764),f327(f327(f152(x41762),x41765),x41766)),f327(f143(x41761,x41762,x41763,f327(f327(x41763,x41764),x41765)),x41766))
% 206.97/207.88 [4202]E(f260(x42021,x42022,x42023,x42024,f327(f327(f252(x42021,x42022),x42025),x42026)),f327(f327(x42024,x42025),x42026))
% 206.97/207.88 [4283]E(f327(f327(f40(x42831,f922(x42832,a910)),x42833),f327(f72(x42834,f922(x42832,a910),x42831,x42835),x42836)),f327(f327(f40(x42834,f922(x42832,a910)),f327(f310(x42831,x42834,x42836),x42833)),x42835))
% 206.97/207.88 [4333]E(f327(f327(f155(x43331,x43332),x43333),f327(f327(f155(x43334,x43331),x43335),x43336)),f327(f327(f155(x43334,x43332),f327(f72(x43331,x43332,x43334,x43333),x43335)),x43336))
% 206.97/207.88 [4339]E(f327(f310(x43391,x43392,f327(f72(x43393,x43392,x43391,x43394),x43395)),x43396),f327(f310(x43393,x43392,x43394),f327(f310(x43391,x43393,x43395),x43396)))
% 206.97/207.88 [4340]E(f327(f311(x43401,x43402,f327(f72(x43403,x43402,x43401,x43404),x43405)),x43406),f327(f311(x43401,x43403,x43405),f327(f311(x43403,x43402,x43404),x43406)))
% 206.97/207.88 [4368]E(f327(f143(x43681,x43682,x43683,f327(f143(x43681,x43682,x43683,x43684),x43685)),x43686),f327(f143(x43681,x43682,x43683,x43684),f327(f327(f135(x43682),x43685),x43686)))
% 206.97/207.88 [4502]E(f327(f258(x45021,x45021,x45022,x45023,f31(x45021),x45024),f327(f327(f252(x45021,x45022),x45025),x45026)),f327(f327(f252(x45021,x45023),x45025),f327(x45024,x45026)))
% 206.97/207.88 [4503]E(f327(f258(x45031,x45032,x45033,x45033,x45034,f31(x45033)),f327(f327(f252(x45031,x45033),x45035),x45036)),f327(f327(f252(x45032,x45033),f327(x45034,x45035)),x45036))
% 206.97/207.88 [4591]E(f327(f327(f155(f921(x45911,x45912),f921(x45911,x45913)),f327(f257(x45911,x45912,f921(x45911,x45913)),f327(f327(f7(x45911,f922(x45912,x45913),f922(x45912,f921(x45911,x45913))),f327(f327(f8(f922(x45913,f921(x45911,x45913)),f922(f922(x45912,x45913),f922(x45912,f921(x45911,x45913))),x45911),f8(x45913,f921(x45911,x45913),x45912)),f252(x45911,x45913))),x45914))),f327(f327(f182(x45911,x45912),x45915),x45916)),f327(f327(f182(x45911,x45913),x45915),f327(f327(f155(x45912,x45913),x45914),x45916)))
% 206.97/207.88 [3991]E(f95(x39911,x39912,x39913,f327(f327(f327(f91(x39911),x39914),x39915),x39916)),f327(f327(f327(x39913,x39914),x39915),x39916))
% 206.97/207.88 [3992]E(f96(x39921,x39922,x39923,f327(f327(f327(f91(x39921),x39924),x39925),x39926)),f327(f327(f327(x39923,x39924),x39925),x39926))
% 206.97/207.88 [4186]E(f327(f327(f72(x41861,x41862,x41863,f327(f16(x41862,x41861),x41864)),x41865),x41866),x41864)
% 206.97/207.88 [4218]E(f327(f310(x42181,x42182,x42183),f327(f310(x42184,x42181,x42185),x42186)),f327(f310(x42184,x42182,f327(f327(f8(x42181,x42182,x42184),x42183),x42185)),x42186))
% 206.97/207.88 [4224]E(f327(f327(f40(x42241,f922(x42242,a910)),f327(f310(x42243,x42241,x42244),x42245)),x42246),f327(f327(f40(x42243,f922(x42242,a910)),x42245),f327(f327(f8(x42241,f922(x42242,a910),x42243),x42246),x42244)))
% 206.97/207.88 [4225]E(f327(f327(f41(x42251,f922(x42252,a910)),f327(f310(x42253,x42251,x42254),x42255)),x42256),f327(f327(f41(x42253,f922(x42252,a910)),x42255),f327(f327(f8(x42251,f922(x42252,a910),x42253),x42256),x42254)))
% 206.97/207.88 [4226]E(f327(f327(f40(x42261,f922(x42262,a910)),x42263),f327(f327(f8(x42264,f922(x42262,a910),x42261),x42265),x42266)),f327(f327(f40(x42264,f922(x42262,a910)),f327(f310(x42261,x42264,x42266),x42263)),x42265))
% 206.97/207.88 [4227]E(f327(f327(f41(x42271,f922(x42272,a910)),x42273),f327(f327(f8(x42274,f922(x42272,a910),x42271),x42275),x42276)),f327(f327(f41(x42274,f922(x42272,a910)),f327(f310(x42271,x42274,x42276),x42273)),x42275))
% 206.97/207.88 [4285]E(f327(f327(f40(x42851,f922(x42852,a910)),x42853),f327(f327(f8(f922(x42854,a910),f922(x42852,a910),x42851),f310(x42854,x42852,x42855)),x42856)),f327(f310(x42854,x42852,x42855),f327(f327(f40(x42851,f922(x42854,a910)),x42853),x42856)))
% 206.97/207.88 [4286]E(f327(f327(f40(x42861,f922(x42862,a910)),x42863),f327(f327(f8(f922(x42864,a910),f922(x42862,a910),x42861),f311(x42862,x42864,x42865)),x42866)),f327(f311(x42862,x42864,x42865),f327(f327(f40(x42861,f922(x42864,a910)),x42863),x42866)))
% 206.97/207.88 [4287]E(f327(f327(f41(x42871,f922(x42872,a910)),x42873),f327(f327(f8(f922(x42874,a910),f922(x42872,a910),x42871),f311(x42872,x42874,x42875)),x42876)),f327(f311(x42872,x42874,x42875),f327(f327(f41(x42871,f922(x42874,a910)),x42873),x42876)))
% 206.97/207.88 [4288]E(f327(f327(f40(x42881,f922(x42882,a910)),x42883),f327(f327(f8(f922(x42884,a910),f922(x42882,a910),x42881),f285(x42884,x42882,x42885)),x42886)),f327(f285(x42884,x42882,x42885),f327(f327(f40(x42881,f922(x42884,a910)),x42883),x42886)))
% 206.97/207.88 [4373]E(f327(f143(x43731,x43732,f327(f7(x43732,x43731,x43731),x43733),x43734),f327(f169(x43732),f327(f327(f152(x43732),x43735),x43736))),f327(f327(x43733,x43735),f327(f143(x43731,x43732,f327(f7(x43732,x43731,x43731),x43733),x43734),f327(f169(x43732),x43736))))
% 206.97/207.88 [4431]E(f327(f327(f18(f921(x44311,x44312),x44312,x44313),f327(f327(f8(x44314,f922(x44312,x44313),f921(x44311,x44312)),x44315),f327(f327(f8(x44311,x44314,f921(x44311,x44312)),x44316),f251(x44311,x44312)))),f256(x44311,x44312)),f327(f257(x44311,x44312,x44313),f327(f327(f8(x44314,f922(x44312,x44313),x44311),x44315),x44316)))
% 206.97/207.88 [4438]E(f327(f143(x44381,x44382,f327(f7(x44382,x44381,x44381),x44383),f327(f143(x44381,x44382,f327(f7(x44382,x44381,x44381),x44383),x44384),f327(f169(x44382),x44385))),f327(f169(x44382),x44386)),f327(f143(x44381,x44382,f327(f7(x44382,x44381,x44381),x44383),x44384),f327(f169(x44382),f327(f327(f135(x44382),x44386),x44385))))
% 206.97/207.88 [4440]E(f327(f327(f155(f921(x44401,x44402),f921(x44403,x44402)),f327(f257(x44401,x44402,f921(x44403,x44402)),f327(f327(f8(x44403,f922(x44402,f921(x44403,x44402)),x44401),f252(x44403,x44402)),x44404))),f327(f327(f182(x44401,x44402),x44405),x44406)),f327(f327(f182(x44403,x44402),f327(f327(f155(x44401,x44403),x44404),x44405)),x44406))
% 206.97/207.88 [4485]P1(f327(f327(f234(f922(x44851,a910)),f327(f285(x44852,x44851,x44853),f327(f327(f41(x44854,f922(x44852,a910)),x44855),x44856))),f327(f327(f41(x44854,f922(x44851,a910)),x44855),f327(f327(f8(f922(x44852,a910),f922(x44851,a910),x44854),f285(x44852,x44851,x44853)),x44856))))
% 206.97/207.88 [4298]E(f327(f327(f182(x42981,x42982),f327(f327(f160(x42981,x42983),x42984),f327(f251(x42981,x42982),x42985))),f327(f327(f160(x42982,x42986),x42984),f327(f256(x42981,x42982),x42985))),f327(f327(f160(f921(x42981,x42982),f327(f327(f182(x42981,x42982),x42983),x42986)),x42984),x42985))
% 206.97/207.88 [4356]E(f327(f327(f102(f922(f921(x43561,x43562),a910)),f327(f327(f289(x43561,x43563,x43562),x43564),x43565)),f327(f327(f289(x43561,x43563,x43562),x43564),x43566)),f327(f327(f289(x43561,x43563,x43562),x43564),f327(f327(f102(f922(f921(x43563,x43562),a910)),x43565),x43566)))
% 206.97/207.88 [4450]E(f327(f327(f309(f921(x44501,x44502)),f327(f327(f252(x44501,x44502),x44503),x44504)),f327(f327(f102(f922(f921(x44501,x44502),a910)),f327(f327(f254(x44501,x44502),x44505),f327(f16(f922(x44502,a910),x44501),f327(f327(f309(x44502),x44504),x44506)))),f327(f327(f254(x44501,x44502),f327(f327(f309(x44501),x44503),x44505)),f327(f16(f922(x44502,a910),x44501),x44506)))),f327(f327(f254(x44501,x44502),f327(f327(f309(x44501),x44503),x44505)),f327(f16(f922(x44502,a910),x44501),f327(f327(f309(x44502),x44504),x44506))))
% 206.97/207.88 [4529]E(f327(f327(f103(f922(x45291,a910)),f327(f311(x45291,x45292,f327(f72(f921(x45292,x45293),x45292,x45291,f251(x45292,x45293)),x45294)),x45295)),f327(f311(x45291,x45293,f327(f72(f921(x45292,x45293),x45293,x45291,f256(x45292,x45293)),x45294)),x45296)),f327(f311(x45291,f921(x45292,x45293),x45294),f327(f327(f254(x45292,x45293),x45295),f327(f16(f922(x45293,a910),x45292),x45296))))
% 206.97/207.88 [4379]E(f327(f327(f102(f922(f921(x43791,x43792),a910)),f327(f327(f289(x43791,x43793,x43792),x43794),x43795)),f327(f327(f289(x43791,x43793,x43792),x43796),x43795)),f327(f327(f289(x43791,x43793,x43792),f327(f327(f102(f922(f921(x43791,x43793),a910)),x43794),x43796)),x43795))
% 206.97/207.88 [4510]E(f327(f327(f40(x45101,f922(x45102,a910)),x45103),f327(f327(f7(x45101,f922(x45104,f922(x45102,a910)),f922(x45102,a910)),f327(f327(f8(f922(x45104,a910),f922(f922(x45104,f922(x45102,a910)),f922(x45102,a910)),x45101),f40(x45104,f922(x45102,a910))),x45105)),x45106)),f327(f327(f40(x45104,f922(x45102,a910)),f327(f327(f40(x45101,f922(x45104,a910)),x45103),x45105)),x45106))
% 206.97/207.88 [4511]E(f327(f327(f41(x45111,f922(x45112,a910)),x45113),f327(f327(f7(x45111,f922(x45114,f922(x45112,a910)),f922(x45112,a910)),f327(f327(f8(f922(x45114,a910),f922(f922(x45114,f922(x45112,a910)),f922(x45112,a910)),x45111),f41(x45114,f922(x45112,a910))),x45115)),x45116)),f327(f327(f41(x45114,f922(x45112,a910)),f327(f327(f40(x45111,f922(x45114,a910)),x45113),x45115)),x45116))
% 206.97/207.88 [4563]E(f327(f257(x45631,x45632,f921(x45633,x45634)),f327(f327(f7(x45631,f922(x45632,x45634),f922(x45632,f921(x45633,x45634))),f327(f327(f8(f922(x45634,f921(x45633,x45634)),f922(f922(x45632,x45634),f922(x45632,f921(x45633,x45634))),x45631),f8(x45634,f921(x45633,x45634),x45632)),f327(f327(f8(x45633,f922(x45634,f921(x45633,x45634)),x45631),f252(x45633,x45634)),x45635))),x45636)),f258(x45631,x45633,x45632,x45634,x45635,x45636))
% 206.97/207.88 [4586]E(f327(f310(x45861,x45862,f327(f327(f18(x45861,x45862,x45862),f327(f327(f18(x45861,x45862,f922(x45862,x45862)),f327(f327(f8(a910,f922(x45862,f922(x45862,x45862)),x45861),f97(x45862)),x45863)),x45864)),x45865)),x45866),f327(f327(f102(f922(x45862,a910)),f327(f310(x45861,x45862,x45864),f327(f327(f103(f922(x45861,a910)),x45866),f327(f262(x45861),x45863)))),f327(f310(x45861,x45862,x45865),f327(f327(f103(f922(x45861,a910)),x45866),f327(f262(x45861),f327(f327(f8(a910,a910,x45861),a322),x45863))))))
% 206.97/207.88 [4598]E(f327(f310(x45981,f921(x45982,x45983),f327(f327(f18(x45981,x45983,f921(x45982,x45983)),f327(f327(f8(x45982,f922(x45983,f921(x45982,x45983)),x45981),f252(x45982,x45983)),x45984)),x45985)),x45986),f327(f327(f254(x45982,x45983),f327(f310(x45981,x45982,x45984),x45986)),f327(f327(f8(f922(x45981,a910),f922(x45983,a910),x45982),f310(x45981,x45983,x45985)),f327(f327(f7(x45982,f922(x45981,a910),f922(x45981,a910)),f327(f327(f8(f922(x45981,a910),f922(f922(x45981,a910),f922(x45981,a910)),x45982),f103(f922(x45981,a910))),f327(f327(f8(f922(x45982,a910),f922(x45981,a910),x45982),f311(x45981,x45982,x45984)),f327(f327(f7(x45982,f922(x45982,a910),f922(x45982,a910)),f309(x45982)),f190(f922(x45982,a910)))))),x45986))))
% 206.97/207.88 [4624]E(f246(x46241,x46242,x46243,x46244,x46245,x46246),f327(x46244,f327(f262(x46241),f327(f327(f8(f922(f922(x46243,x46241),a910),a910,x46241),f87(f922(x46243,x46241))),f327(f327(f8(f922(f922(x46243,x46241),a910),f922(f922(x46243,x46241),a910),x46241),f327(f18(f922(x46243,x46241),a910,a910),f327(f327(f8(a910,f922(a910,a910),f922(x46243,x46241)),a325),f327(f327(f7(f922(x46243,x46241),f922(f922(x46243,x46241),a910),a910),f329(f922(x46243,x46241))),x46245)))),f327(f327(f7(x46241,f922(f922(x46243,x46241),x46241),f922(f922(x46243,x46241),a910)),f327(f327(f8(f922(x46241,a910),f922(f922(f922(x46243,x46241),x46241),f922(f922(x46243,x46241),a910)),x46241),f8(x46241,a910,f922(x46243,x46241))),a324)),f327(f327(f7(f922(x46243,x46241),x46243,x46241),f5(f922(x46243,x46241))),x46246)))))))
% 206.97/207.88 [4412]E(f327(f72(x44121,x44122,x44123,x44124),f74(x44123,x44121,x44125,x44126,x44127)),f74(x44123,x44122,f327(f72(x44121,x44122,x44123,x44124),x44125),x44126,f327(x44124,x44127)))
% 206.97/207.88 [4546]E(f327(f256(x45461,x45462),f327(f258(x45463,x45461,x45464,x45462,x45465,x45466),x45467)),f327(x45466,f327(f256(x45463,x45464),x45467)))
% 206.97/207.88 [4547]E(f327(f251(x45471,x45472),f327(f258(x45473,x45471,x45474,x45472,x45475,x45476),x45477)),f327(x45475,f327(f251(x45473,x45474),x45477)))
% 206.97/207.88 [4261]E(f327(f327(f182(x42611,x42612),f327(f327(f160(x42611,x42613),x42614),x42615)),f327(f327(f160(x42612,x42616),x42614),x42617)),f327(f327(f160(f921(x42611,x42612),f327(f327(f182(x42611,x42612),x42613),x42616)),x42614),f327(f327(f252(x42611,x42612),x42615),x42617)))
% 206.97/207.88 [4328]E(f327(f327(f327(f259(x43281,x43282,x43283,x43284),x43285),x43286),x43287),f327(f327(f257(x43282,x43283,x43284),x43286),f327(x43285,x43287)))
% 206.97/207.88 [4338]E(f327(f327(f327(f259(x43381,x43382,x43383,x43384),x43385),x43386),x43387),f327(f327(x43386,f327(f251(x43382,x43383),f327(x43385,x43387))),f327(f256(x43382,x43383),f327(x43385,x43387))))
% 206.97/207.88 [4390]E(f327(f72(x43901,x43902,x43903,x43904),f327(f72(x43905,x43901,x43903,x43906),x43907)),f327(f72(x43905,x43902,x43903,f327(f72(x43901,x43902,x43905,x43904),x43906)),x43907))
% 206.97/207.88 [4567]E(f327(f258(x45671,x45672,x45673,x45673,x45674,f31(x45673)),f327(f258(x45671,x45671,x45675,x45673,f31(x45671),x45676),x45677)),f327(f327(f252(x45672,x45673),f327(x45674,f327(f251(x45671,x45675),x45677))),f327(x45676,f327(f256(x45671,x45675),x45677))))
% 206.97/207.88 [4568]E(f327(f258(x45681,x45681,x45682,x45683,f31(x45681),x45684),f327(f258(x45685,x45681,x45682,x45682,x45686,f31(x45682)),x45687)),f327(f327(f252(x45681,x45683),f327(x45686,f327(f251(x45685,x45682),x45687))),f327(x45684,f327(f256(x45685,x45682),x45687))))
% 206.97/207.88 [4584]E(f327(f258(x45841,x45842,x45843,x45843,x45844,f31(x45843)),f327(f258(x45845,x45841,x45843,x45843,x45846,f31(x45843)),x45847)),f327(f258(x45845,x45842,x45843,x45843,f327(f72(x45841,x45842,x45845,x45844),x45846),f31(x45843)),x45847))
% 206.97/207.88 [4585]E(f327(f258(x45851,x45851,x45852,x45853,f31(x45851),x45854),f327(f258(x45851,x45851,x45855,x45852,f31(x45851),x45856),x45857)),f327(f258(x45851,x45851,x45855,x45853,f31(x45851),f327(f72(x45852,x45853,x45855,x45854),x45856)),x45857))
% 206.97/207.88 [4595]E(f327(f258(x45951,x45952,x45953,x45953,x45954,f31(x45953)),f327(f258(x45951,x45951,x45955,x45953,f31(x45951),x45956),x45957)),f327(f258(x45952,x45952,x45955,x45953,f31(x45952),x45956),f327(f258(x45951,x45952,x45955,x45955,x45954,f31(x45955)),x45957)))
% 206.97/207.88 [4295]E(f327(f327(f289(x42951,x42952,x42953),f327(f327(f289(x42951,x42954,x42952),x42955),x42956)),x42957),f327(f327(f289(x42951,x42954,x42953),x42955),f327(f327(f289(x42954,x42952,x42953),x42956),x42957)))
% 206.97/207.88 [4362]E(f327(f327(f257(x43621,x43622,x43623),f327(f72(x43624,f922(x43622,x43623),x43621,x43625),x43626)),x43627),f327(f327(x43625,f327(x43626,f327(f251(x43621,x43622),x43627))),f327(f256(x43621,x43622),x43627)))
% 206.97/207.88 [4443]E(f327(f143(x44431,x44432,f327(f7(x44432,x44431,x44431),x44433),x44434),f327(f169(x44432),f327(f327(f155(x44435,x44432),x44436),x44437))),f327(f143(x44431,x44435,f327(f7(x44435,x44431,x44431),f327(f72(x44432,f922(x44431,x44431),x44435,x44433),x44436)),x44434),f327(f169(x44435),x44437)))
% 206.97/207.88 [4391]E(f327(f327(f40(x43911,f922(f921(x43912,x43913),a910)),x43914),f327(f327(f8(f922(f921(x43915,x43913),a910),f922(f921(x43912,x43913),a910),x43911),f327(f289(x43912,x43915,x43913),x43916)),x43917)),f327(f327(f289(x43912,x43915,x43913),x43916),f327(f327(f40(x43911,f922(f921(x43915,x43913),a910)),x43914),x43917)))
% 206.97/207.88 [4534]E(f327(f327(f40(x45341,f922(f921(x45342,x45343),a910)),x45344),f327(f327(f7(x45341,f922(f921(x45345,x45343),a910),f922(f921(x45342,x45343),a910)),f327(f327(f8(f922(f921(x45342,x45345),a910),f922(f922(f921(x45345,x45343),a910),f922(f921(x45342,x45343),a910)),x45341),f289(x45342,x45345,x45343)),x45346)),x45347)),f327(f327(f289(x45342,x45345,x45343),f327(f327(f40(x45341,f922(f921(x45342,x45345),a910)),x45344),x45346)),x45347))
% 206.97/207.88 [4535]E(f327(f143(x45351,x45352,f327(f327(f7(x45351,f922(x45352,x45353),f922(x45352,x45351)),f327(f327(f8(f922(x45353,x45351),f922(f922(x45352,x45353),f922(x45352,x45351)),x45351),f8(x45353,x45351,x45352)),x45354)),x45355),x45356),x45357),f327(f143(x45351,x45353,x45354,x45356),f327(f327(f155(x45352,x45353),x45355),x45357)))
% 206.97/207.88 [4596]E(f327(f327(f41(x45961,f922(x45962,a910)),x45963),f327(f327(f8(f922(x45964,f922(x45962,a910)),f922(x45962,a910),x45961),f327(f41(x45964,f922(x45962,a910)),x45965)),f327(f327(f7(x45961,f922(x45964,f922(x45962,a910)),f922(x45964,f922(x45962,a910))),f327(f327(f8(f922(f922(x45962,a910),f922(x45962,a910)),f922(f922(x45964,f922(x45962,a910)),f922(x45964,f922(x45962,a910))),x45961),f8(f922(x45962,a910),f922(x45962,a910),x45964)),f327(f327(f8(f922(x45962,a910),f922(f922(x45962,a910),f922(x45962,a910)),x45961),f102(f922(x45962,a910))),x45966))),x45967))),f327(f327(f102(f922(x45962,a910)),f327(f327(f41(x45961,f922(x45962,a910)),x45963),x45966)),f327(f327(f41(x45964,f922(x45962,a910)),x45965),x45967)))
% 206.97/207.88 [4597]E(f327(f327(f40(x45971,f922(x45972,a910)),x45973),f327(f327(f8(f922(x45974,f922(x45972,a910)),f922(x45972,a910),x45971),f327(f40(x45974,f922(x45972,a910)),x45975)),f327(f327(f7(x45971,f922(x45974,f922(x45972,a910)),f922(x45974,f922(x45972,a910))),f327(f327(f8(f922(f922(x45972,a910),f922(x45972,a910)),f922(f922(x45974,f922(x45972,a910)),f922(x45974,f922(x45972,a910))),x45971),f8(f922(x45972,a910),f922(x45972,a910),x45974)),f327(f327(f8(f922(x45972,a910),f922(f922(x45972,a910),f922(x45972,a910)),x45971),f103(f922(x45972,a910))),x45976))),x45977))),f327(f327(f103(f922(x45972,a910)),f327(f327(f40(x45971,f922(x45972,a910)),x45973),x45976)),f327(f327(f40(x45974,f922(x45972,a910)),x45975),x45977)))
% 206.97/207.88 [4589]E(f199(x45891,x45892,f327(f327(f327(x45893,x45894),x45895),x45896),f327(f327(f7(x45891,f921(a100,a100),f922(a100,f917(x45892))),f327(f327(f7(x45891,a100,f922(f921(a100,a100),f922(a100,f917(x45892)))),f327(f327(f7(x45891,a100,f922(a100,f922(f921(a100,a100),f922(a100,f917(x45892))))),x45897),x45894)),x45895)),x45896)),f327(f327(f327(f211(x45891,x45892,x45893,x45897),x45894),x45895),x45896))
% 206.97/207.88 [4603]E(f200(x46031,x46032,f327(f327(f327(x46033,x46034),x46035),x46036),f327(f327(f7(x46031,f921(a100,a100),f922(a100,f917(x46032))),f327(f327(f7(x46031,a100,f922(f921(a100,a100),f922(a100,f917(x46032)))),f327(f327(f7(x46031,a100,f922(a100,f922(f921(a100,a100),f922(a100,f917(x46032))))),x46037),x46034)),x46035)),x46036)),f213(x46031,x46032,x46033,x46037,x46034,x46035,x46036))
% 206.97/207.88 [4594]E(f197(x45941,x45942,f327(f327(f327(x45943,x45944),x45945),x45946),f327(f327(f7(x45941,f921(a100,a100),f922(a100,f917(f918(x45942)))),f327(f327(f7(x45941,a100,f922(f921(a100,a100),f922(a100,f917(f918(x45942))))),f327(f327(f7(x45941,a100,f922(a100,f922(f921(a100,a100),f922(a100,f917(f918(x45942)))))),x45947),x45944)),x45945)),x45946)),f327(f327(f327(f207(x45941,x45942,x45943,x45947),x45944),x45945),x45946))
% 206.97/207.88 [4605]E(f198(x46051,x46052,f327(f327(f327(x46053,x46054),x46055),x46056),f327(f327(f7(x46051,f921(a100,a100),f922(a100,f917(f918(x46052)))),f327(f327(f7(x46051,a100,f922(f921(a100,a100),f922(a100,f917(f918(x46052))))),f327(f327(f7(x46051,a100,f922(a100,f922(f921(a100,a100),f922(a100,f917(f918(x46052)))))),x46057),x46054)),x46055)),x46056)),f209(x46051,x46052,x46053,x46057,x46054,x46055,x46056))
% 206.97/207.88 [4504]E(f327(f258(x45041,x45042,x45043,x45044,x45045,x45046),f327(f327(f252(x45041,x45043),x45047),x45048)),f327(f327(f252(x45042,x45044),f327(x45045,x45047)),f327(x45046,x45048)))
% 206.97/207.88 [4607]E(f327(f327(f155(f921(x46071,x46072),f921(x46073,x46074)),f327(f257(x46071,x46072,f921(x46073,x46074)),f327(f327(f7(x46071,f922(x46072,x46074),f922(x46072,f921(x46073,x46074))),f327(f327(f8(f922(x46074,f921(x46073,x46074)),f922(f922(x46072,x46074),f922(x46072,f921(x46073,x46074))),x46071),f8(x46074,f921(x46073,x46074),x46072)),f327(f327(f8(x46073,f922(x46074,f921(x46073,x46074)),x46071),f252(x46073,x46074)),x46075))),x46076))),f327(f327(f182(x46071,x46072),x46077),x46078)),f327(f327(f182(x46073,x46074),f327(f327(f155(x46071,x46073),x46075),x46077)),f327(f327(f155(x46072,x46074),x46076),x46078)))
% 206.97/207.88 [4610]E(f327(f327(f155(f921(x46101,x46102),x46103),f327(f257(x46101,x46102,x46103),f327(f327(f8(f922(x46102,f921(x46101,x46104)),f922(x46102,x46103),x46101),f327(f8(f921(x46101,x46104),x46103,x46102),x46105)),f327(f327(f7(x46101,f922(x46102,x46104),f922(x46102,f921(x46101,x46104))),f327(f327(f8(f922(x46104,f921(x46101,x46104)),f922(f922(x46102,x46104),f922(x46102,f921(x46101,x46104))),x46101),f8(x46104,f921(x46101,x46104),x46102)),f252(x46101,x46104))),x46106)))),f327(f327(f182(x46101,x46102),x46107),x46108)),f327(f327(f155(f921(x46101,x46104),x46103),x46105),f327(f327(f182(x46101,x46104),x46107),f327(f327(f155(x46102,x46104),x46106),x46108))))
% 206.97/207.88 [4538]E(f327(f327(f155(f921(x45381,x45382),x45383),f327(f257(x45381,x45382,x45383),f327(f327(f8(f922(x45382,f921(x45384,x45382)),f922(x45382,x45383),x45381),f327(f8(f921(x45384,x45382),x45383,x45382),x45385)),f327(f327(f8(x45384,f922(x45382,f921(x45384,x45382)),x45381),f252(x45384,x45382)),x45386)))),f327(f327(f182(x45381,x45382),x45387),x45388)),f327(f327(f155(f921(x45384,x45382),x45383),x45385),f327(f327(f182(x45384,x45382),f327(f327(f155(x45381,x45384),x45386),x45387)),x45388)))
% 206.97/207.88 [4495]E(f327(f327(f257(x44951,x44952,x44953),f327(f327(f8(f922(x44952,f921(x44954,x44955)),f922(x44952,x44953),x44951),f327(f8(f921(x44954,x44955),x44953,x44952),f327(f257(x44954,x44955,x44953),x44956))),x44957)),x44958),f327(f327(f257(x44954,x44955,x44953),x44956),f327(f327(f257(x44951,x44952,f921(x44954,x44955)),x44957),x44958)))
% 206.97/207.88 [4611]E(f327(f327(f40(f921(x46111,x46112),f922(f921(x46113,x46114),a910)),f327(f327(f254(x46111,x46112),x46115),f327(f16(f922(x46112,a910),x46111),x46116))),f327(f257(x46111,x46112,f922(f921(x46113,x46114),a910)),f327(f327(f7(x46111,f922(x46112,f922(x46113,f922(x46114,a910))),f922(x46112,f922(f921(x46113,x46114),a910))),f327(f327(f8(f922(f922(x46113,f922(x46114,a910)),f922(f921(x46113,x46114),a910)),f922(f922(x46112,f922(x46113,f922(x46114,a910))),f922(x46112,f922(f921(x46113,x46114),a910))),x46111),f8(f922(x46113,f922(x46114,a910)),f922(f921(x46113,x46114),a910),x46112)),f327(f327(f8(f922(x46113,a910),f922(f922(x46113,f922(x46114,a910)),f922(f921(x46113,x46114),a910)),x46111),f254(x46113,x46114)),x46117))),f327(f327(f8(f922(x46114,a910),f922(x46113,f922(x46114,a910)),x46112),f16(f922(x46114,a910),x46113)),x46118)))),f327(f327(f254(x46113,x46114),f327(f327(f40(x46111,f922(x46113,a910)),x46115),x46117)),f327(f16(f922(x46114,a910),x46113),f327(f327(f40(x46112,f922(x46114,a910)),x46116),x46118))))
% 206.97/207.88 [4552]E(f327(f327(f259(x45521,x45522,x45523,x45524),f327(f327(f259(x45521,x45525,x45526,f921(x45522,x45523)),x45527),x45528)),x45529),f327(f327(f259(x45521,x45525,x45526,x45524),x45527),f327(f327(f7(x45525,f922(x45522,f922(x45523,x45524)),f922(x45526,x45524)),f327(f327(f8(f922(x45526,f921(x45522,x45523)),f922(f922(x45522,f922(x45523,x45524)),f922(x45526,x45524)),x45525),f259(x45526,x45522,x45523,x45524)),x45528)),x45529)))
% 206.97/207.88 [4581]E(f327(f72(f921(x45811,x45812),f921(x45813,x45814),f921(x45815,x45816),f258(x45811,x45813,x45812,x45814,x45817,x45818)),f258(x45815,x45811,x45816,x45812,x45819,x458110)),f258(x45815,x45813,x45816,x45814,f327(f72(x45811,x45813,x45815,x45817),x45819),f327(f72(x45812,x45814,x45816,x45818),x458110)))
% 206.97/207.88 [4587]E(f327(f258(x45871,x45872,x45873,x45874,x45875,x45876),f327(f258(x45877,x45871,x45878,x45873,x45879,x458710),x458711)),f327(f258(x45877,x45872,x45878,x45874,f327(f72(x45871,x45872,x45877,x45875),x45879),f327(f72(x45873,x45874,x45878,x45876),x458710)),x458711))
% 206.97/207.88 [10389]P22(a909,a924,f327(f310(a908,f913(a909),f327(f327(f18(a908,f922(a909,f922(a911,a910)),f913(a909)),f327(f327(f18(a908,a912,f922(f922(a909,f922(a911,a910)),f913(a909))),f327(f327(f8(f922(a909,f922(a911,a910)),f922(a912,f922(f922(a909,f922(a911,a910)),f913(a909))),a908),f91(a909)),a926)),a927)),a929)),a923))+~P22(a909,a924,f327(f310(a908,f913(a909),f327(f327(f18(a908,f922(a909,f922(a911,a910)),f913(a909)),f327(f327(f18(a908,a912,f922(f922(a909,f922(a911,a910)),f913(a909))),f327(f327(f8(f922(a909,f922(a911,a910)),f922(a912,f922(f922(a909,f922(a911,a910)),f913(a909))),a908),f91(a909)),a925)),a927)),a928)),a923))
% 206.97/207.88 [4737]~P2(x47371)+P2(f918(x47371))
% 206.97/207.88 [4738]~P60(x47381)+P60(f918(x47381))
% 206.97/207.88 [4739]~P104(x47391)+P104(f916(x47391))
% 206.97/207.88 [4742]~P145(x47421)+~E(f78(x47421),f2(x47421))
% 206.97/207.88 [4744]~E(x47441,f2(a100))+E(f327(a22,x47441),f2(a1))
% 206.97/207.88 [4745]~E(x47451,f2(a1))+E(f82(a1,x47451),f2(a1))
% 206.97/207.88 [4751]~P146(x47511)+P26(x47511,f2(x47511))
% 206.97/207.88 [4753]~P108(x47531)+P11(x47531,f114(x47531))
% 206.97/207.88 [4762]P1(x47621)+P1(f327(a322,x47621))
% 206.97/207.88 [4816]~P146(x48161)+~P26(x48161,f78(x48161))
% 206.97/207.88 [4857]~P1(x48571)+~P1(f327(a322,x48571))
% 206.97/207.88 [4878]E(f327(a106,x48781),f2(a915))+~P1(f327(a195,x48781))
% 206.97/207.88 [4944]~P95(x49441)+P12(x49441,x49441,f81(x49441))
% 206.97/207.88 [4945]~P108(x49451)+P12(x49451,x49451,f238(x49451))
% 206.97/207.88 [4946]~P108(x49461)+P12(x49461,x49461,f189(x49461))
% 206.97/207.88 [4947]~P101(x49471)+P12(x49471,x49471,f102(x49471))
% 206.97/207.88 [4948]~P102(x49481)+P12(x49481,x49481,f103(x49481))
% 206.97/207.88 [4949]~P72(x49491)+P14(x49491,x49491,f81(x49491))
% 206.97/207.88 [4748]~E(x47481,f2(a915))+E(f327(f101(a1),x47481),f2(a1))
% 206.97/207.88 [4755]~P93(x47551)+E(f327(f105(x47551),a83),f2(x47551))
% 206.97/207.88 [4758]~E(f573(x47581),f2(a915))+E(f327(f166(a915),x47581),f2(a915))
% 206.97/207.88 [4759]~P109(x47591)+E(f236(x47591,f234(x47591)),f238(x47591))
% 206.97/207.88 [4760]~P109(x47601)+E(f237(x47601,f234(x47601)),f189(x47601))
% 206.97/207.88 [4761]~P89(x47611)+E(f82(x47611,f2(x47611)),f2(x47611))
% 206.97/207.88 [4770]~P146(x47701)+E(f327(f101(x47701),f78(a915)),f78(x47701))
% 206.97/207.88 [4771]~P146(x47711)+E(f327(f101(x47711),f2(a915)),f2(x47711))
% 206.97/207.88 [4772]~P142(x47721)+E(f327(f104(x47721),f78(a1)),f78(x47721))
% 206.97/207.88 [4773]~P142(x47731)+E(f327(f104(x47731),f2(a1)),f2(x47731))
% 206.97/207.88 [4774]E(x47741,f2(a915))+~E(f327(f101(a1),x47741),f2(a1))
% 206.97/207.88 [4810]~P86(x48101)+E(f327(f79(x48101),f190(x48101)),f242(x48101))
% 206.97/207.88 [4811]~P86(x48111)+E(f327(f79(x48111),f242(x48111)),f190(x48111))
% 206.97/207.88 [4812]~P74(x48121)+E(f327(f79(x48121),f2(x48121)),f2(x48121))
% 206.97/207.88 [4813]~P119(x48131)+E(f327(f75(x48131),f78(x48131)),f78(x48131))
% 206.97/207.88 [4814]~P84(x48141)+E(f327(f75(x48141),f2(x48141)),f2(x48141))
% 206.97/207.88 [4815]~P81(x48151)+E(f327(f166(x48151),f114(x48151)),f2(x48151))
% 206.97/207.88 [4833]~P34(x48331)+P38(f327(f173(a1),x48331))
% 206.97/207.88 [4862]~P93(x48621)+E(f327(f79(x48621),f78(x48621)),f327(f105(x48621),a98))
% 206.97/207.88 [4877]~P93(x48771)+P26(x48771,f327(f105(x48771),a83))
% 206.97/207.88 [4903]P34(x49031)+~P38(f327(f173(a1),x49031))
% 206.97/207.88 [4950]E(f327(f101(a1),f327(a106,x49501)),x49501)+P1(f327(a195,x49501))
% 206.97/207.88 [5020]~P116(x50201)+E(f245(x50201,f78(x50201),f81(x50201)),f244(x50201))
% 206.97/207.88 [5053]~P93(x50531)+~P26(x50531,f327(f105(x50531),a98))
% 206.97/207.88 [5201]E(f327(f75(a1),x52011),x52011)+P1(f327(f327(f235(a1),x52011),f2(a1)))
% 206.97/207.88 [5219]~E(f327(a106,x52191),f2(a915))+P1(f327(f327(f234(a1),x52191),f2(a1)))
% 206.97/207.88 [5284]~P1(f327(a195,x52841))+P1(f327(f327(f235(a1),x52841),f2(a1)))
% 206.97/207.88 [5324]~P142(x53241)+P1(f327(f327(f329(x53241),f78(x53241)),f111(x53241)))
% 206.97/207.88 [5325]~P146(x53251)+P1(f327(f327(f329(x53251),f78(x53251)),f187(x53251)))
% 206.97/207.88 [5326]~P142(x53261)+P1(f327(f327(f329(x53261),f2(x53261)),f111(x53261)))
% 206.97/207.88 [5327]~P146(x53271)+P1(f327(f327(f329(x53271),f2(x53271)),f187(x53271)))
% 206.97/207.88 [5328]~P126(x53281)+P1(f327(f327(f234(x53281),f2(x53281)),f78(x53281)))
% 206.97/207.88 [5329]~P126(x53291)+P1(f327(f327(f235(x53291),f2(x53291)),f78(x53291)))
% 206.97/207.88 [5381]E(x53811,f2(a915))+~P1(f327(f327(f234(a915),x53811),f2(a915)))
% 206.97/207.88 [5423]E(f327(a106,x54231),f2(a915))+~P1(f327(f327(f234(a1),x54231),f2(a1)))
% 206.97/207.88 [5485]P1(f327(a195,x54851))+~P1(f327(f327(f235(a1),x54851),f2(a1)))
% 206.97/207.88 [5492]~P108(x54921)+P14(x54921,f916(x54921),f149(x54921,x54921,f5(x54921)))
% 206.97/207.88 [5510]P38(x55101)+~P1(f327(f327(f234(a1),f2(a1)),f335(x55101)))
% 206.97/207.88 [5515]E(f327(f75(a1),x55151),f327(f79(a1),x55151))+~P1(f327(f327(f235(a1),x55151),f2(a1)))
% 206.97/207.88 [5688]~P126(x56881)+~P1(f327(f327(f234(x56881),f78(x56881)),f2(x56881)))
% 206.97/207.88 [5689]~P126(x56891)+~P1(f327(f327(f235(x56891),f78(x56891)),f2(x56891)))
% 206.97/207.88 [5705]~E(x57051,f2(a915))+P1(f327(f327(f234(a1),f327(f101(a1),x57051)),f2(a1)))
% 206.97/207.88 [5706]~E(x57061,f2(a1))+P1(f327(f327(f235(a1),f327(f75(a1),x57061)),f78(a1)))
% 206.97/207.88 [5828]~P81(x58281)+E(f143(x58281,x58281,f80(x58281),f2(x58281)),f166(x58281))
% 206.97/207.88 [6002]~P103(x60021)+P23(a915,x60021,f101(x60021),f242(f922(a915,a910)))
% 206.97/207.88 [6207]E(x62071,f2(a915))+~P1(f327(f327(f234(a1),f327(f101(a1),x62071)),f2(a1)))
% 206.97/207.88 [6208]E(x62081,f2(a1))+~P1(f327(f327(f235(a1),f327(f75(a1),x62081)),f78(a1)))
% 206.97/207.88 [7015]~P1(f327(f327(f235(a1),x70151),f2(a1)))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x70151),x70151)),f2(a1)))
% 206.97/207.88 [7573]P1(f327(f327(f235(a1),x75731),f2(a1)))+~P1(f327(f327(f235(a1),f327(f327(f80(a1),x75731),x75731)),f2(a1)))
% 206.97/207.88 [8120]E(x81201,f327(a3,f2(a915)))+P1(f327(f327(f235(a915),f327(f327(f23(a915),f327(a20,x81201)),f327(a113,f2(a915)))),f327(a20,x81201)))
% 206.97/207.88 [8884]~P1(f327(f327(f235(a1),x88841),f2(a1)))+P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x88841),x88841)),a98)),f2(a1)))
% 206.97/207.88 [8981]~P1(f327(f327(f235(a1),x89811),f2(a1)))+P1(f327(f327(f235(a1),f327(f327(f80(a1),f327(f327(f80(a1),f78(a1)),x89811)),x89811)),f2(a1)))
% 206.97/207.88 [9303]P1(f327(f327(f235(a1),x93031),f2(a1)))+~P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x93031),x93031)),a98)),f2(a1)))
% 206.97/207.88 [9364]P1(f327(f327(f235(a1),x93641),f2(a1)))+~P1(f327(f327(f235(a1),f327(f327(f80(a1),f327(f327(f80(a1),f78(a1)),x93641)),x93641)),f2(a1)))
% 206.97/207.88 [4851]~E(a83,x48511)+E(f327(f327(f80(a1),x48511),x48511),a83)
% 206.97/207.88 [4852]~E(x48521,a83)+E(f327(f327(f80(a1),x48521),x48521),a83)
% 206.97/207.88 [4863]E(x48631,f2(a1))+E(f327(f327(f37(a1),x48631),x48631),f78(a1))
% 206.97/207.88 [4997]E(x49971,a83)+~E(f327(f327(f80(a1),x49971),x49971),a83)
% 206.97/207.88 [4998]E(a83,x49981)+~E(f327(f327(f80(a1),x49981),x49981),a83)
% 206.97/207.88 [5010]~P3(x50101)+E(f39(x50101,f190(f922(x50101,a910))),f242(x50101))
% 206.97/207.88 [5011]~P3(x50111)+E(f39(x50111,f242(f922(x50111,a910))),f190(x50111))
% 206.97/207.88 [5012]~P3(x50121)+E(f38(x50121,f190(f922(x50121,a910))),f190(x50121))
% 206.97/207.88 [5013]~P3(x50131)+E(f38(x50131,f242(f922(x50131,a910))),f242(x50131))
% 206.97/207.88 [5014]~P108(x50141)+E(f140(x50141,f190(f922(x50141,a910))),f114(x50141))
% 206.97/207.88 [5156]E(x51561,f2(a915))+P1(f327(f327(f235(a915),f2(a915)),x51561))
% 206.97/207.88 [5176]~P4(x51761)+P1(f327(f327(f234(a1),f2(a1)),x51761))
% 206.97/207.88 [5210]~E(f327(f105(a915),x52101),f2(a915))+P1(f327(f327(f234(a1),x52101),a83))
% 206.97/207.88 [5215]P38(x52151)+P1(f327(f327(f329(a1),f335(x52151)),x52151))
% 206.97/207.88 [5216]E(x52161,f327(a3,f2(a915)))+P1(f327(f327(f234(a100),f78(a100)),x52161))
% 206.97/207.88 [5257]P1(f327(a195,x52571))+P1(f327(f327(f234(a1),f2(a1)),x52571))
% 206.97/207.88 [5306]E(f327(f101(a1),f327(a106,x53061)),f2(a1))+P1(f327(f327(f234(a1),f2(a1)),x53061))
% 206.97/207.88 [5363]E(f327(f101(a1),f327(f105(a915),x53631)),f327(f105(a1),x53631))+P1(f327(a195,f327(f105(a1),x53631)))
% 206.97/207.88 [5387]E(f327(f105(a915),x53871),f2(a915))+~P1(f327(a195,f327(f105(a1),x53871)))
% 206.97/207.88 [5388]E(f327(f105(a915),x53881),f2(a915))+~P1(f327(f327(f234(a1),x53881),a83))
% 206.97/207.88 [5420]P4(x54201)+~P1(f327(f327(f234(a1),f2(a1)),x54201))
% 206.97/207.88 [5461]~E(x54611,f327(a113,f2(a915)))+P1(f327(f327(f287(a915),x54611),f327(a113,f2(a915))))
% 206.97/207.88 [5495]E(f327(a113,f337(x54951)),x54951)+~P1(f327(f327(f235(a915),f2(a915)),x54951))
% 206.97/207.88 [5504]E(f327(a113,f327(f105(a915),x55041)),f78(a915))+~P1(f327(a195,f327(f105(a1),x55041)))
% 206.97/207.88 [5511]E(f327(f101(a1),f448(x55111)),x55111)+~P1(f327(f327(f235(a1),f2(a1)),x55111))
% 206.97/207.88 [5518]~E(x55181,f327(a3,f2(a915)))+~P1(f327(f327(f234(a100),f78(a100)),x55181))
% 206.97/207.88 [5525]E(f327(f101(a1),f327(f105(a915),x55251)),f2(a1))+~P1(f327(a195,f327(f105(a1),x55251)))
% 206.97/207.88 [5551]E(f327(f166(a915),x55511),f2(a915))+P1(f327(f327(f329(a915),f573(x55511)),f327(f173(a915),x55511)))
% 206.97/207.88 [5572]E(f327(f101(a1),f327(a106,x55721)),x55721)+~P1(f327(f327(f234(a1),f2(a1)),x55721))
% 206.97/207.88 [5580]~P1(f327(a195,x55801))+~P1(f327(f327(f234(a1),f2(a1)),x55801))
% 206.97/207.88 [5681]E(f327(f327(f80(a915),f78(a915)),f327(f105(a915),x56811)),f78(a915))+~P1(f327(f327(f235(a1),x56811),a83))
% 206.97/207.88 [5747]E(x57471,f2(a915))+~P1(f327(f327(f235(a915),x57471),f327(a113,f2(a915))))
% 206.97/207.88 [5769]E(x57691,f327(a113,f2(a915)))+~P1(f327(f327(f287(a915),x57691),f327(a113,f2(a915))))
% 206.97/207.88 [5787]E(f327(f327(f23(a915),f327(f105(a915),x57871)),f78(a915)),f2(a915))+~P1(f327(f327(f234(a1),x57871),a83))
% 206.97/207.88 [5788]E(f327(f327(f80(a915),f327(f105(a915),x57881)),f78(a915)),f78(a915))+~P1(f327(f327(f235(a1),x57881),a83))
% 206.97/207.88 [5800]~P38(x58001)+E(f327(f36(a915),f327(f310(a1,a915,a106),x58001)),f327(f36(a1),x58001))
% 206.97/207.88 [5829]~P108(x58291)+E(f236(x58291,f327(f7(x58291,x58291,a910),f234(x58291))),f189(x58291))
% 206.97/207.88 [5830]~P108(x58301)+E(f237(x58301,f327(f7(x58301,x58301,a910),f234(x58301))),f238(x58301))
% 206.97/207.88 [5840]E(f46(a915,f327(a113,f2(a915)),f327(f105(a915),x58401)),f327(a113,f2(a915)))+~P1(f327(a195,f327(f105(a1),x58401)))
% 206.97/207.88 [5849]~P1(f327(f327(f235(a1),f2(a1)),x58491))+P1(f327(f327(f234(a1),f78(a1)),x58491))
% 206.97/207.88 [5850]P1(f327(f327(f235(a1),f2(a1)),x58501))+~P1(f327(f327(f234(a1),f78(a1)),x58501))
% 206.97/207.88 [5861]E(f327(a113,f327(f327(f23(a915),x58611),f78(a915))),x58611)+~P1(f327(f327(f235(a915),f2(a915)),x58611))
% 206.97/207.88 [5917]P1(f327(f327(f235(a915),f2(a915)),f448(x59171)))+~P1(f327(f327(f235(a1),f2(a1)),x59171))
% 206.97/207.88 [5978]E(f46(a1,f327(f105(a1),a98),x59781),f327(f327(f23(a1),x59781),f78(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x59781))
% 206.97/207.88 [6015]~P1(f327(f327(f235(a1),a83),x60151))+P1(f327(f327(f235(a915),f2(a915)),f327(f105(a915),x60151)))
% 206.97/207.88 [6020]E(f327(a20,f804(x60201)),x60201)+~P1(f327(f327(f329(a915),x60201),f242(f922(a915,a910))))
% 206.97/207.88 [6073]P1(f327(f327(f235(a915),f2(a915)),f327(a106,x60731)))+~P1(f327(f327(f235(a1),f2(a1)),x60731))
% 206.97/207.88 [6123]~P1(f327(f327(f235(a915),f2(a915)),x61231))+P1(f327(f327(f235(a1),f2(a1)),f327(f101(a1),x61231)))
% 206.97/207.88 [6159]~P1(f327(f327(f235(a915),f2(a915)),f327(a106,x61591)))+P1(f327(f327(f235(a1),f2(a1)),x61591))
% 206.97/207.88 [6174]~P38(x61741)+E(f327(f310(a915,a1,f101(a1)),f327(f310(a1,a915,a106),x61741)),x61741)
% 206.97/207.88 [6187]P1(f327(f327(f235(a1),a83),x61871))+~P1(f327(f327(f235(a915),f2(a915)),f327(f105(a915),x61871)))
% 206.97/207.88 [6248]P1(f327(f327(f235(a915),f2(a915)),x62481))+~P1(f327(f327(f235(a1),f2(a1)),f327(f101(a1),x62481)))
% 206.97/207.88 [6365]E(f327(f310(a915,a1,f101(a1)),f327(f282(a915),f327(a106,x63651))),f327(f302(a1,f2(a1)),x63651))+~P1(f327(f327(f234(a1),f2(a1)),x63651))
% 206.97/207.88 [6382]~P126(x63821)+P1(f327(f327(f235(x63821),f2(x63821)),f327(f327(f80(x63821),f78(x63821)),f78(x63821))))
% 206.97/207.88 [6431]P1(f327(f327(f235(a915),f327(a113,f2(a915))),f327(a106,x64311)))+~P1(f327(f327(f235(a1),f78(a1)),x64311))
% 206.97/207.88 [6531]E(x65311,f2(a1))+P1(f327(f50(f2(a1),x65311),f327(f327(f252(a1,a1),f2(a1)),f2(a1))))
% 206.97/207.88 [6699]~P1(f327(f327(f235(a915),f327(a113,f2(a915))),f327(a106,x66991)))+P1(f327(f327(f235(a1),f78(a1)),x66991))
% 206.97/207.88 [7128]~P117(x71281)+P35(x71281,f327(f262(f921(x71281,x71281)),f327(f257(x71281,x71281,a910),f235(x71281))))
% 206.97/207.88 [5734]E(f327(f105(a915),f327(f327(f23(a1),x57341),a98)),f327(a113,f327(f105(a915),x57341)))+P1(f327(a195,f327(f105(a1),x57341)))
% 206.97/207.88 [5750]~P34(x57501)+E(f327(f327(f155(a915,a1),f101(a1)),f327(f327(f155(a1,a915),a106),x57501)),x57501)
% 206.97/207.88 [5867]E(f327(f79(a1),f327(f101(a1),f327(a113,f406(x58671)))),x58671)+~P1(f327(f327(f235(a1),x58671),f2(a1)))
% 206.97/207.88 [5877]E(f327(f327(f80(a915),f78(a915)),f327(f105(a915),x58771)),f327(f105(a915),f327(f327(f23(a1),x58771),a98)))+P1(f327(f327(f235(a1),x58771),a83))
% 206.97/207.88 [5919]E(f327(f327(f37(a1),f327(f105(a1),a98)),x59191),f327(f105(a1),a98))+~P1(f327(f327(f235(a1),f2(a1)),x59191))
% 206.97/207.88 [6011]E(f327(f327(f23(a915),f327(f105(a915),x60111)),f78(a915)),f327(f105(a915),f327(f327(f80(a1),x60111),a98)))+P1(f327(f327(f234(a1),x60111),a83))
% 206.97/207.88 [6012]E(f327(f327(f80(a915),f327(f105(a915),x60121)),f78(a915)),f327(f105(a915),f327(f327(f23(a1),x60121),a98)))+P1(f327(f327(f235(a1),x60121),a83))
% 206.97/207.88 [6058]E(f327(a106,f327(f327(f80(a1),f78(a1)),x60581)),f327(a113,f327(a106,x60581)))+~P1(f327(f327(f234(a1),f2(a1)),x60581))
% 206.97/207.88 [6094]E(f327(a113,f327(f327(f23(a915),x60941),f327(a113,f2(a915)))),x60941)+~P1(f327(f327(f235(a915),f2(a915)),x60941))
% 206.97/207.88 [6315]E(f46(a915,f327(a113,f2(a915)),f327(f105(a915),x63151)),f327(a106,f46(a1,f78(a1),f327(f105(a1),x63151))))+P1(f327(a195,f327(f105(a1),x63151)))
% 206.97/207.88 [6358]~P1(f327(f327(f234(a1),a83),x63581))+P1(f327(f327(f234(a1),a83),f327(f327(f80(a1),x63581),x63581)))
% 206.97/207.88 [6359]~P1(f327(f327(f235(a1),a98),x63591))+P1(f327(f327(f234(a1),a98),f327(f327(f80(a1),x63591),x63591)))
% 206.97/207.88 [6360]~P1(f327(f327(f235(a1),a83),x63601))+P1(f327(f327(f235(a1),a83),f327(f327(f80(a1),x63601),x63601)))
% 206.97/207.88 [6361]~P1(f327(f327(f235(a1),a98),x63611))+P1(f327(f327(f235(a1),a98),f327(f327(f80(a1),x63611),x63611)))
% 206.97/207.88 [6545]~P1(f327(f35(x65451),f242(f922(x65451,a910))))+P1(f327(f35(f918(x65451)),f242(f922(f918(x65451),a910))))
% 206.97/207.88 [6629]~P1(f327(f327(f234(a1),f2(a1)),x66291))+P1(f327(f327(f235(a1),f2(a1)),f327(f327(f80(a1),f78(a1)),x66291)))
% 206.97/207.88 [6636]E(f327(f251(a1,a1),f48(f78(a1),f327(f105(a1),x66361))),f327(f327(f37(a1),f78(a1)),f327(f105(a1),x66361)))+~P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x66361)))
% 206.97/207.88 [6658]E(f327(f256(a1,a1),f48(f78(a1),f327(f105(a1),x66581))),f46(a1,f78(a1),f327(f105(a1),x66581)))+~P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x66581)))
% 206.97/207.88 [6670]P1(f327(f35(x66701),f242(f922(x66701,a910))))+~P1(f327(f35(f918(x66701)),f242(f922(f918(x66701),a910))))
% 206.97/207.88 [6700]P1(f327(f327(f234(a1),a83),x67001))+~P1(f327(f327(f234(a1),a83),f327(f327(f80(a1),x67001),x67001)))
% 206.97/207.88 [6701]P1(f327(f327(f235(a1),a83),x67011))+~P1(f327(f327(f235(a1),a83),f327(f327(f80(a1),x67011),x67011)))
% 206.97/207.88 [6702]P1(f327(f327(f235(a1),a98),x67021))+~P1(f327(f327(f234(a1),a98),f327(f327(f80(a1),x67021),x67021)))
% 206.97/207.88 [6703]P1(f327(f327(f235(a1),a98),x67031))+~P1(f327(f327(f235(a1),a98),f327(f327(f80(a1),x67031),x67031)))
% 206.97/207.88 [7019]~P1(f327(f35(x70191),f242(f922(x70191,a910))))+P1(f327(f327(f235(a915),f2(a915)),f327(f36(x70191),f242(f922(x70191,a910)))))
% 206.97/207.88 [7612]P1(f327(f35(a915),x76121))+~P1(f327(f35(a1),f327(f310(a915,a1,f101(a1)),x76121)))
% 206.97/207.88 [9706]~P22(a909,a924,f327(f327(f309(f913(a909)),f327(f327(f327(f91(a909),f327(a925,x97061)),f327(a927,x97061)),f327(a928,x97061))),f190(f922(f913(a909),a910))))+P22(a909,a924,f327(f327(f309(f913(a909)),f327(f327(f327(f91(a909),f327(a926,x97061)),f327(a927,x97061)),f327(a929,x97061))),f190(f922(f913(a909),a910))))
% 206.97/207.88 [5656]~E(a98,x56561)+E(f327(f327(f23(a1),f327(f327(f80(a1),x56561),x56561)),a98),a98)
% 206.97/207.88 [5657]~E(x56571,a98)+E(f327(f327(f23(a1),f327(f327(f80(a1),x56571),x56571)),a98),a98)
% 206.97/207.88 [6182]E(x61821,a98)+~E(f327(f327(f23(a1),f327(f327(f80(a1),x61821),x61821)),a98),a98)
% 206.97/207.88 [6183]E(a98,x61831)+~E(f327(f327(f23(a1),f327(f327(f80(a1),x61831),x61831)),a98),a98)
% 206.97/207.88 [6598]~E(f327(f105(a915),x65981),f2(a915))+P1(f327(a195,f327(f105(a1),f327(f327(f80(a1),x65981),a98))))
% 206.97/207.88 [6949]~P1(f327(a195,f327(f105(a1),x69491)))+P1(f327(a195,f327(f105(a1),f327(f327(f80(a1),x69491),x69491))))
% 206.97/207.88 [6950]~P1(f327(f327(f234(a1),x69501),a83))+P1(f327(f327(f234(a1),f327(f327(f80(a1),x69501),x69501)),a83))
% 206.97/207.88 [6951]~P1(f327(f327(f234(a1),x69511),a98))+P1(f327(f327(f234(a1),f327(f327(f80(a1),x69511),x69511)),a98))
% 206.97/207.88 [6952]~P1(f327(f327(f235(a1),x69521),a83))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x69521),x69521)),a83))
% 206.97/207.88 [6953]~P1(f327(f327(f234(a1),x69531),a98))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x69531),x69531)),a98))
% 206.97/207.88 [7276]E(f327(f105(a915),x72761),f2(a915))+~P1(f327(a195,f327(f105(a1),f327(f327(f80(a1),x72761),a98))))
% 206.97/207.88 [7529]~P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x75291)))+P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),f327(f327(f80(a1),x75291),x75291))))
% 206.97/207.88 [7530]P1(f327(a195,f327(f105(a1),x75301)))+~P1(f327(a195,f327(f105(a1),f327(f327(f80(a1),x75301),x75301))))
% 206.97/207.88 [7531]P1(f327(f327(f234(a1),x75311),a83))+~P1(f327(f327(f234(a1),f327(f327(f80(a1),x75311),x75311)),a83))
% 206.97/207.88 [7532]P1(f327(f327(f234(a1),x75321),a98))+~P1(f327(f327(f234(a1),f327(f327(f80(a1),x75321),x75321)),a98))
% 206.97/207.88 [7533]P1(f327(f327(f234(a1),x75331),a98))+~P1(f327(f327(f235(a1),f327(f327(f80(a1),x75331),x75331)),a98))
% 206.97/207.88 [7534]P1(f327(f327(f235(a1),x75341),a83))+~P1(f327(f327(f235(a1),f327(f327(f80(a1),x75341),x75341)),a83))
% 206.97/207.88 [7891]E(f327(a108,f567(x78911)),x78911)+~P1(f327(f327(f329(f922(f921(a915,a915),a910)),x78911),a99))
% 206.97/207.88 [6518]~P93(x65181)+E(f327(f105(x65181),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f78(x65181))
% 206.97/207.88 [6999]~P1(f327(a195,f327(f105(a1),x69991)))+E(f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),x69991),x69991)),a98)),f2(a915))
% 206.97/207.88 [8065]~P1(f327(f327(f235(a1),f327(f105(a1),x80651)),f2(a1)))+E(f327(f251(a1,a1),f327(a52,f51(f327(f79(a1),f78(a1)),f327(f79(a1),f327(f105(a1),x80651))))),f327(f327(f37(a1),f78(a1)),f327(f105(a1),x80651)))
% 206.97/207.88 [8078]~P1(f327(f327(f235(a1),f327(f105(a1),x80781)),f2(a1)))+E(f327(f256(a1,a1),f327(a52,f51(f327(f79(a1),f78(a1)),f327(f79(a1),f327(f105(a1),x80781))))),f46(a1,f78(a1),f327(f105(a1),x80781)))
% 206.97/207.88 [8127]~P1(f327(f327(f234(a1),a83),x81271))+P1(f327(f327(f234(a1),a83),f327(f327(f23(a1),f327(f327(f80(a1),x81271),x81271)),a98)))
% 206.97/207.88 [8128]~P1(f327(f327(f234(a1),a98),x81281))+P1(f327(f327(f234(a1),a98),f327(f327(f23(a1),f327(f327(f80(a1),x81281),x81281)),a98)))
% 206.97/207.88 [8129]~P1(f327(f327(f234(a1),a83),x81291))+P1(f327(f327(f235(a1),a83),f327(f327(f23(a1),f327(f327(f80(a1),x81291),x81291)),a98)))
% 206.97/207.88 [8130]~P1(f327(f327(f235(a1),a98),x81301))+P1(f327(f327(f235(a1),a98),f327(f327(f23(a1),f327(f327(f80(a1),x81301),x81301)),a98)))
% 206.97/207.88 [8427]~P93(x84271)+~P26(x84271,f327(f105(x84271),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))
% 206.97/207.88 [8609]P1(f327(f327(f234(a1),a83),x86091))+~P1(f327(f327(f234(a1),a83),f327(f327(f23(a1),f327(f327(f80(a1),x86091),x86091)),a98)))
% 206.97/207.88 [8610]P1(f327(f327(f234(a1),a83),x86101))+~P1(f327(f327(f235(a1),a83),f327(f327(f23(a1),f327(f327(f80(a1),x86101),x86101)),a98)))
% 206.97/207.88 [8611]P1(f327(f327(f234(a1),a98),x86111))+~P1(f327(f327(f234(a1),a98),f327(f327(f23(a1),f327(f327(f80(a1),x86111),x86111)),a98)))
% 206.97/207.88 [8612]P1(f327(f327(f235(a1),a98),x86121))+~P1(f327(f327(f235(a1),a98),f327(f327(f23(a1),f327(f327(f80(a1),x86121),x86121)),a98)))
% 206.97/207.88 [8931]E(f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),x89311),x89311)),a98)),f327(f327(f86(a915,a915),f327(f105(a915),x89311)),f327(f327(f8(a915,a915,a915),a113),f327(f327(f18(a915,a915,a915),f80(a915)),f5(a915)))))+P1(f327(a195,f327(f105(a1),x89311)))
% 206.97/207.88 [9789]E(x97891,f190(f922(f921(a915,a915),a910)))+P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),x97891),f190(f922(f921(a915,a915),a910)))),a33))
% 206.97/207.88 [8858]~P1(f327(a195,f327(f105(a1),x88581)))+P1(f327(a195,f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),x88581),x88581)),a98))))
% 206.97/207.88 [8859]~P1(f327(f327(f235(a1),x88591),a83))+P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),x88591),x88591)),a98)),a83))
% 206.97/207.88 [8860]~P1(f327(f327(f234(a1),x88601),a98))+P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),x88601),x88601)),a98)),a98))
% 206.97/207.88 [8861]~P1(f327(f327(f235(a1),x88611),a83))+P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x88611),x88611)),a98)),a83))
% 206.97/207.88 [8862]~P1(f327(f327(f235(a1),x88621),a98))+P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x88621),x88621)),a98)),a98))
% 206.97/207.88 [8972]~P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x89721)))+P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),x89721),x89721)),a98))))
% 206.97/207.88 [9134]~P93(x91341)+E(f327(f327(f80(x91341),f78(x91341)),f78(x91341)),f327(f105(x91341),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))
% 206.97/207.88 [9287]P1(f327(a195,f327(f105(a1),x92871)))+~P1(f327(a195,f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),x92871),x92871)),a98))))
% 206.97/207.88 [9288]P1(f327(f327(f234(a1),x92881),a98))+~P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),x92881),x92881)),a98)),a98))
% 206.97/207.88 [9289]P1(f327(f327(f235(a1),x92891),a83))+~P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),x92891),x92891)),a98)),a83))
% 206.97/207.88 [9290]P1(f327(f327(f235(a1),x92901),a83))+~P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x92901),x92901)),a98)),a83))
% 206.97/207.88 [9291]P1(f327(f327(f235(a1),x92911),a98))+~P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x92911),x92911)),a98)),a98))
% 206.97/207.88 [9834]~P1(f327(f35(f921(a915,a915)),x98341))+P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),f190(f922(f921(a915,a915),a910))),x98341)),a69))
% 206.97/207.88 [9617]~P146(x96171)+E(f327(f327(f244(x96171),f78(x96171)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f78(x96171))
% 206.97/207.88 [9618]~P146(x96181)+E(f327(f327(f244(x96181),f2(x96181)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f2(x96181))
% 206.97/207.88 [10059]~P1(f327(f327(f235(a915),f78(a915)),x100591))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f37(a915),x100591),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 206.97/207.88 [10065]~P1(f327(f327(f235(a915),f2(a915)),x100651))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f37(a915),f327(f327(f80(a915),x100651),f78(a915))),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 206.97/207.88 [10104]~E(f46(a915,x101041,f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f78(a915))+P1(f327(f327(f235(a915),f2(a915)),f46(a915,x101041,f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 206.97/207.88 [10134]E(f46(a915,x101341,f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f78(a915))+~P1(f327(f327(f235(a915),f2(a915)),f46(a915,x101341,f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 206.97/207.88 [4779]~P5(x47791,x47792)+P41(x47791,x47792)
% 206.97/207.88 [4780]~P35(x47801,x47802)+P55(x47801,x47802)
% 206.97/207.88 [4781]~P42(x47811,x47812)+P55(x47811,x47812)
% 206.97/207.88 [4783]~P5(x47831,x47832)+P47(x47831,x47832)
% 206.97/207.88 [4785]~P13(x47851,x47852)+P47(x47851,x47852)
% 206.97/207.88 [4787]~P5(x47871,x47872)+P48(x47871,x47872)
% 206.97/207.88 [4789]~P13(x47891,x47892)+P48(x47891,x47892)
% 206.97/207.88 [4790]~P5(x47901,x47902)+P13(x47901,x47902)
% 206.97/207.88 [4740]~E(x47401,x47402)+E(f269(x47401,x47402),f78(a100))
% 206.97/207.88 [4743]E(f218(x47431,x47432),x47431)+~E(x47432,f2(a915))
% 206.97/207.88 [4750]~E(x47502,f114(x47501))+E(f153(x47501,x47502),f114(x47501))
% 206.97/207.88 [4769]~E(f153(x47692,x47691),f114(x47692))+E(x47691,f114(x47692))
% 206.97/207.88 [4794]~P65(x47942)+P65(f922(x47941,x47942))
% 206.97/207.88 [4795]~P66(x47952)+P66(f922(x47951,x47952))
% 206.97/207.88 [4796]~P107(x47962)+P107(f922(x47961,x47962))
% 206.97/207.88 [4797]~P109(x47972)+P109(f922(x47971,x47972))
% 206.97/207.88 [4798]~P110(x47982)+P110(f922(x47981,x47982))
% 206.97/207.88 [4799]~P86(x47992)+P86(f922(x47991,x47992))
% 206.97/207.88 [4800]~P87(x48002)+P87(f922(x48001,x48002))
% 206.97/207.88 [4801]~P96(x48012)+P96(f922(x48011,x48012))
% 206.97/207.88 [4802]~P115(x48022)+P115(f922(x48021,x48022))
% 206.97/207.88 [4803]~P99(x48032)+P97(f922(x48031,x48032))
% 206.97/207.88 [4804]~P96(x48042)+P101(f922(x48041,x48042))
% 206.97/207.88 [4805]~P99(x48052)+P98(f922(x48051,x48052))
% 206.97/207.88 [4806]~P3(x48062)+P3(f922(x48061,x48062))
% 206.97/207.88 [4807]~P96(x48072)+P102(f922(x48071,x48072))
% 206.97/207.88 [4808]~P100(x48082)+P100(f922(x48081,x48082))
% 206.97/207.88 [4809]~P99(x48092)+P99(f922(x48091,x48092))
% 206.97/207.88 [4822]E(x48221,x48222)+~E(f327(a113,x48221),f327(a113,x48222))
% 206.97/207.88 [4823]E(x48231,x48232)+~E(f327(a108,x48231),f327(a108,x48232))
% 206.97/207.88 [4824]E(x48241,x48242)+~E(f327(a3,x48241),f327(a3,x48242))
% 206.97/207.88 [4826]E(x48261,x48262)+~E(f327(a20,x48261),f327(a20,x48262))
% 206.97/207.88 [4879]P37(x48791,x48792)+~E(f701(x48792,x48791),f702(x48792,x48791))
% 206.97/207.88 [4909]~P55(x49091,x49092)+P37(x49091,f307(x49091,x49092))
% 206.97/207.88 [4910]~P49(x49101,x49102)+P49(x49101,f307(x49101,x49102))
% 206.97/207.88 [4923]~P58(x49231)+E(f46(x49231,x49232,x49232),f2(x49231))
% 206.97/207.88 [4957]~P35(x49571,x49572)+P35(f916(x49571),f147(x49571,x49572))
% 206.97/207.88 [4958]~P35(x49581,x49582)+P35(f916(x49581),f146(x49581,x49582))
% 206.97/207.88 [4959]~P36(x49591,x49592)+P36(f916(x49591),f148(x49591,x49592))
% 206.97/207.88 [4960]~P36(x49601,x49602)+P36(f916(x49601),f159(x49601,x49602))
% 206.97/207.88 [4961]~P49(x49611,x49612)+P49(f916(x49611),f159(x49611,x49612))
% 206.97/207.88 [5058]~P35(x50581,x50582)+P35(f922(x50581,a910),f318(x50581,x50582))
% 206.97/207.88 [5059]~P35(x50591,x50592)+P35(f922(x50591,a910),f319(x50591,x50592))
% 206.97/207.88 [5185]~P4(x51851)+P38(f303(a1,x51851,x51852))
% 206.97/207.88 [5287]~P35(x52871,x52872)+P57(x52871,f67(x52871,x52871,x52872))
% 206.97/207.88 [5794]~P78(x57941)+P23(x57941,x57941,f79(x57941),x57942)
% 206.97/207.88 [4764]~E(x47642,f114(x47641))+E(f327(f168(x47641),x47642),f114(x47641))
% 206.97/207.88 [4765]~E(x47652,f114(x47651))+E(f327(f169(x47651),x47652),f114(x47651))
% 206.97/207.88 [4828]E(x48281,f327(a106,x48282))+~E(f327(f101(a1),x48281),x48282)
% 206.97/207.88 [4831]E(x48311,f114(x48312))+~E(f327(f168(x48312),x48311),f114(x48312))
% 206.97/207.88 [4832]E(x48321,f114(x48322))+~E(f327(f169(x48322),x48321),f114(x48322))
% 206.97/207.88 [4848]~P93(x48481)+E(f327(f105(x48481),x48482),f327(f104(x48481),x48482))
% 206.97/207.88 [4856]~P2(x48561)+P1(f327(f35(x48561),x48562))
% 206.97/207.88 [4864]~E(f660(x48642,x48641),f114(x48641))+E(f180(x48641,x48642),f114(f916(x48641)))
% 206.97/207.88 [4873]~E(x48732,f114(x48731))+E(f327(f173(x48731),x48732),f190(f922(x48731,a910)))
% 206.97/207.88 [4874]~E(x48742,f114(x48741))+E(f190(f922(x48741,a910)),f327(f173(x48741),x48742))
% 206.97/207.88 [4876]E(x48761,x48762)+~E(f327(f101(a1),x48761),f327(f101(a1),x48762))
% 206.97/207.88 [4880]E(f216(x48801,x48802),f2(a915))+P1(f327(f35(x48801),x48802))
% 206.97/207.88 [4898]~P119(x48981)+E(f82(x48981,f82(x48981,x48982)),f82(x48981,x48982))
% 206.97/207.88 [4912]~P112(x49121)+E(f327(f327(f244(x49121),x49122),f78(a915)),x49122)
% 206.97/207.88 [4913]~P80(x49131)+E(f327(f327(f244(x49131),x49132),f78(a915)),x49132)
% 206.97/207.88 [4914]~P49(x49141,x49142)+E(f327(f286(x49141,x49141),x49142),x49142)
% 206.97/207.88 [4918]E(x49181,x49182)+E(f269(x49181,x49182),f327(f327(f80(a100),x49182),f78(a100)))
% 206.97/207.88 [4921]E(f327(f36(x49211),x49212),f2(a915))+P1(f327(f35(x49211),x49212))
% 206.97/207.88 [4924]~E(f153(x49241,x49242),x49242)+P1(f327(f138(x49241),x49242))
% 206.97/207.88 [4927]~P74(x49271)+E(f327(f327(f23(x49271),x49272),f2(x49271)),x49272)
% 206.97/207.88 [4928]~P68(x49281)+E(f327(f327(f80(x49281),x49282),f2(x49281)),x49282)
% 206.97/207.88 [4929]~P112(x49291)+E(f327(f327(f80(x49291),x49292),f2(x49291)),x49292)
% 206.97/207.88 [4930]~P81(x49301)+E(f327(f327(f80(x49301),x49302),f2(x49301)),x49302)
% 206.97/207.88 [4931]~P112(x49311)+E(f327(f327(f81(x49311),x49312),f78(x49311)),x49312)
% 206.97/207.88 [4932]~P75(x49321)+E(f327(f327(f81(x49321),x49322),f78(x49321)),x49322)
% 206.97/207.88 [4933]~P80(x49331)+E(f327(f327(f81(x49331),x49332),f78(x49331)),x49332)
% 206.97/207.88 [4934]~P98(x49341)+E(f327(f327(f102(x49341),x49342),f190(x49341)),x49342)
% 206.97/207.88 [4935]~P97(x49351)+E(f327(f327(f103(x49351),x49352),f242(x49351)),x49352)
% 206.97/207.88 [4936]~P58(x49361)+E(f327(f327(f37(x49361),x49362),f78(x49361)),x49362)
% 206.97/207.88 [4937]~P122(x49371)+E(f327(f327(f291(x49371),x49372),f78(x49371)),x49372)
% 206.97/207.88 [4938]~P112(x49381)+E(f327(f327(f244(x49381),x49382),f2(a915)),f78(x49381))
% 206.97/207.88 [4939]~P116(x49391)+E(f327(f327(f244(x49391),x49392),f2(a915)),f78(x49391))
% 206.97/207.88 [4940]~E(x49402,f190(f922(x49401,a910)))+E(f327(f36(x49401),x49402),f2(a915))
% 206.97/207.88 [4951]~P58(x49511)+E(f46(x49511,x49512,f2(x49511)),x49512)
% 206.97/207.88 [4962]~P112(x49621)+E(f327(f327(f81(x49621),x49622),f2(x49621)),f2(x49621))
% 206.97/207.88 [4963]~P129(x49631)+E(f327(f327(f81(x49631),x49632),f2(x49631)),f2(x49631))
% 206.97/207.88 [4964]~P97(x49641)+E(f327(f327(f102(x49641),x49642),f242(x49641)),f242(x49641))
% 206.97/207.88 [4965]~P98(x49651)+E(f327(f327(f103(x49651),x49652),f190(x49651)),f190(x49651))
% 206.97/207.88 [4966]~P58(x49661)+E(f327(f327(f37(x49661),x49662),f2(x49661)),f2(x49661))
% 206.97/207.88 [4967]~P123(x49671)+E(f327(f327(f291(x49671),x49672),f2(x49671)),f2(x49671))
% 206.97/207.88 [4969]~P58(x49691)+E(f46(x49691,x49692,f78(x49691)),f2(x49691))
% 206.97/207.88 [4970]~P58(x49701)+E(f46(x49701,f2(x49701),x49702),f2(x49701))
% 206.97/207.88 [4999]E(x49991,f2(a915))+E(f56(x49992,x49991,f114(x49992)),f114(f916(x49992)))
% 206.97/207.88 [5022]P49(x50221,x50222)+~E(f327(f286(x50221,x50221),x50222),x50222)
% 206.97/207.88 [5023]P35(x50231,x50232)+~E(f574(x50232,x50231),f190(f922(x50231,a910)))
% 206.97/207.88 [5024]E(x50241,f114(x50242))+~E(f327(f173(x50242),x50241),f190(f922(x50242,a910)))
% 206.97/207.88 [5025]E(x50251,f114(x50252))+~E(f190(f922(x50252,a910)),f327(f173(x50252),x50251))
% 206.97/207.88 [5028]~E(x50281,x50282)+P1(f327(f327(a324,x50281),x50282))
% 206.97/207.88 [5038]P1(x50381)+P1(f327(f327(a330,x50381),x50382))
% 206.97/207.88 [5039]E(x50391,f114(x50392))+E(f327(f327(f165(x50392),x50391),f2(a915)),f327(f142(x50392),x50391))
% 206.97/207.88 [5042]E(f153(x50421,x50422),x50422)+~P1(f327(f138(x50421),x50422))
% 206.97/207.88 [5049]~P1(x50492)+P1(f327(f327(a326,x50491),x50492))
% 206.97/207.88 [5050]~P1(x50501)+P1(f327(f327(a326,x50501),x50502))
% 206.97/207.88 [5051]~P1(x50512)+P1(f327(f327(a330,x50511),x50512))
% 206.97/207.88 [5061]~E(f661(x50612,x50611),f667(x50612,x50611))+P1(f327(f138(x50611),x50612))
% 206.97/207.88 [5068]E(f327(f262(x50681),x50682),f190(f922(x50681,a910)))+P1(f327(x50682,f333(x50682)))
% 206.97/207.88 [5069]E(f190(f922(x50691,a910)),f327(f262(x50691),x50692))+P1(f327(x50692,f334(x50692)))
% 206.97/207.88 [5138]~P119(x51381)+E(f327(f327(f81(x51381),x51382),f82(x51381,x51382)),f327(f75(x51381),x51382))
% 206.97/207.88 [5149]~E(x51491,f2(a1))+E(f47(x51491,x51492),f327(f327(f252(a1,a1),f2(a1)),f2(a1)))
% 206.97/207.88 [5181]~P55(x51811,x51812)+P55(x51811,f327(f286(x51811,x51811),x51812))
% 206.97/207.88 [5182]~P36(x51821,x51822)+P36(x51821,f327(f286(x51821,x51821),x51822))
% 206.97/207.88 [5183]~P37(x51831,x51832)+P37(x51831,f327(f286(x51831,x51831),x51832))
% 206.97/207.88 [5184]~P49(x51841,x51842)+P49(x51841,f327(f286(x51841,x51841),x51842))
% 206.97/207.88 [5206]E(x52061,x52062)+~P1(f327(f327(a324,x52061),x52062))
% 206.97/207.88 [5217]P1(x52171)+~P1(f327(f327(a325,x52172),x52171))
% 206.97/207.88 [5218]P1(x52181)+~P1(f327(f327(a325,x52181),x52182))
% 206.97/207.88 [5223]~P115(x52231)+P1(f327(f327(f234(x52231),x52232),f242(x52231)))
% 206.97/207.88 [5224]~P112(x52241)+P1(f327(f327(f287(x52241),x52242),f2(x52241)))
% 206.97/207.88 [5228]E(x52281,x52282)+~E(f327(x52281,f405(x52282,x52281)),f327(x52282,f405(x52282,x52281)))
% 206.97/207.88 [5259]E(x52591,f2(a915))+E(f218(x52591,f46(a915,x52592,x52591)),f218(x52592,x52591))
% 206.97/207.88 [5264]~P108(x52641)+P11(x52641,f327(f327(f152(x52641),x52642),f114(x52641)))
% 206.97/207.88 [5266]E(x52661,f2(a1))+P1(f327(f50(x52662,x52661),f47(x52662,x52661)))
% 206.97/207.88 [5282]~P13(x52822,x52821)+P1(f327(f327(x52821,f796(x52821)),f796(x52821)))
% 206.97/207.88 [5285]~E(x52851,x52852)+P1(f327(f327(f235(a915),x52851),f327(a113,x52852)))
% 206.97/207.88 [5295]~E(x52951,f2(a915))+P1(f327(f327(f235(a915),x52951),f327(a113,x52952)))
% 206.97/207.88 [5305]P1(f327(x53051,x53052))+P1(f327(f327(f234(a1),f2(a1)),f378(x53051)))
% 206.97/207.88 [5368]P55(x53681,x53682)+~P55(x53681,f327(f286(x53681,x53681),x53682))
% 206.97/207.88 [5369]P36(x53691,x53692)+~P36(x53691,f327(f286(x53691,x53691),x53692))
% 206.97/207.88 [5370]P37(x53701,x53702)+~P37(x53701,f327(f286(x53701,x53701),x53702))
% 206.97/207.88 [5371]P49(x53711,x53712)+~P49(x53711,f327(f286(x53711,x53711),x53712))
% 206.97/207.88 [5374]~E(f46(a915,x53742,x53741),f2(a915))+E(f327(f327(f81(a915),x53741),f446(x53741,x53742)),x53742)
% 206.97/207.88 [5375]~E(f46(a1,x53752,x53751),f2(a1))+E(f327(f327(f81(a1),x53751),f447(x53751,x53752)),x53752)
% 206.97/207.88 [5401]~P1(f327(x54011,x54012))+P1(f327(f327(f234(a1),f2(a1)),f377(x54011)))
% 206.97/207.88 [5412]E(f327(f327(f23(a915),f327(a106,x54121)),f327(a106,x54122)),f327(a106,x54121))+~P1(f327(a195,x54122))
% 206.97/207.88 [5441]E(f272(x54411,x54412),f78(a100))+~P1(f327(f327(f234(a100),x54411),f78(a100)))
% 206.97/207.88 [5537]E(f327(f327(f165(x55371),x55372),f661(x55372,x55371)),f327(f327(f165(x55371),x55372),f667(x55372,x55371)))+P1(f327(f138(x55371),x55372))
% 206.97/207.88 [5581]~P1(f327(x55811,f90(x55812,x55811)))+P1(f327(x55811,f585(x55812,x55811)))
% 206.97/207.88 [5646]P57(x56461,x56462)+~P1(f327(f315(x56461,x56462),f554(x56462,x56461)))
% 206.97/207.88 [5791]~P13(x57912,x57911)+P1(f327(f327(x57911,f797(x57911,x57912)),f797(x57911,x57912)))
% 206.97/207.88 [5792]~P13(x57922,x57921)+P1(f327(f327(x57921,f801(x57921,x57922)),f801(x57921,x57922)))
% 206.97/207.88 [5801]~E(f327(a113,f46(a915,x58011,x58012)),x58012)+E(f46(a915,f327(a113,x58011),x58012),f2(a915))
% 206.97/207.88 [5856]P35(x58561,x58562)+P1(f327(f327(f329(x58561),f607(x58562,x58561)),f608(x58562,x58561)))
% 206.97/207.88 [5863]~P142(x58631)+P1(f327(f327(f329(x58631),f327(f101(x58631),x58632)),f111(x58631)))
% 206.97/207.88 [5864]~P146(x58641)+P1(f327(f327(f329(x58641),f327(f101(x58641),x58642)),f187(x58641)))
% 206.97/207.88 [5865]~P142(x58651)+P1(f327(f327(f329(x58651),f327(f104(x58651),x58652)),f111(x58651)))
% 206.97/207.88 [5866]~P93(x58661)+P1(f327(f327(f329(x58661),f327(f105(x58661),x58662)),f111(x58661)))
% 206.97/207.88 [6000]~P36(x60001,x60002)+E(f327(f327(f289(x60001,x60001,x60001),x60002),f307(x60001,x60002)),x60002)
% 206.97/207.88 [6014]E(f327(a113,f46(a915,x60141,x60142)),x60142)+E(f46(a915,f327(a113,x60141),x60142),f327(a113,f46(a915,x60141,x60142)))
% 206.97/207.88 [6444]P35(x64441,x64442)+~P1(f327(f327(f329(x64441),f536(x64442,x64441)),f316(x64441,x64442)))
% 206.97/207.88 [6482]~P126(x64821)+~P1(f327(f327(f235(x64821),f327(f101(x64821),x64822)),f2(x64821)))
% 206.97/207.88 [6483]~P84(x64831)+~P1(f327(f327(f235(x64831),f327(f75(x64831),x64832)),f2(x64831)))
% 206.97/207.88 [6572]P1(f327(f327(f235(a1),x65721),f46(a1,x65722,x65721)))+~P1(f327(f327(f235(a1),x65721),f2(a1)))
% 206.97/207.88 [6672]E(f327(f327(f309(a915),f327(a113,x66721)),f303(a915,x66722,x66721)),f303(a915,x66722,f327(a113,x66721)))+~P1(f327(f327(f234(a915),x66722),f327(a113,x66721)))
% 206.97/207.88 [6762]~P108(x67621)+P11(x67621,f151(x67621,x67621,f5(x67621),x67622))
% 206.97/207.88 [6891]E(f327(f168(x68911),x68912),x68912)+~P1(f327(f327(f234(a915),f327(f191(f916(x68911)),x68912)),f78(a915)))
% 206.97/207.88 [6913]~P84(x69131)+P1(f327(f327(f234(x69131),f327(f79(x69131),f327(f75(x69131),x69132))),f2(x69131)))
% 206.97/207.88 [6945]~P35(x69451,x69452)+P35(x69451,f327(f327(f289(x69451,x69451,x69451),x69452),f307(x69451,x69452)))
% 206.97/207.88 [6946]~P49(x69461,x69462)+P49(x69461,f327(f327(f289(x69461,x69461,x69461),x69462),f307(x69461,x69462)))
% 206.97/207.88 [7169]~P1(f327(f327(f235(a1),x71692),f2(a1)))+P1(f327(f327(f234(a1),f46(a1,x71691,x71692)),f2(a1)))
% 206.97/207.88 [7570]~P146(x75701)+E(f192(x75701,f327(f327(f7(x75701,x75701,x75701),f80(x75701)),f78(x75701)),x75702,f2(x75701)),f327(f101(x75701),x75702))
% 206.97/207.88 [7598]~P128(x75981)+~P1(f327(f327(f235(x75981),f327(f327(f81(x75981),x75982),x75982)),f2(x75981)))
% 206.97/207.88 [10226]~P119(x102261)+~P1(f327(f327(f235(x102261),f327(f327(f244(x102261),x102262),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f2(x102261)))
% 206.97/207.88 [4829]~E(x48292,f114(x48291))+E(f327(f191(f916(x48291)),x48292),f2(a915))
% 206.97/207.88 [4865]~E(x48651,f2(a915))+E(f327(f327(f80(a915),x48651),x48652),x48652)
% 206.97/207.88 [4866]~E(x48662,f2(a915))+E(f327(f327(f81(a915),x48661),x48662),f2(a915))
% 206.97/207.88 [4868]~E(x48681,f2(a915))+E(f327(f327(f81(a915),x48681),x48682),f2(a915))
% 206.97/207.88 [4869]~E(x48692,f2(a915))+E(f327(f327(f244(a915),x48691),x48692),f78(a915))
% 206.97/207.88 [4870]~E(x48702,f2(a1))+E(f327(f327(f37(a1),x48701),x48702),f2(a1))
% 206.97/207.88 [4881]E(x48811,f114(x48812))+~E(f327(f191(f916(x48812)),x48811),f2(a915))
% 206.97/207.88 [4883]~P95(x48831)+E(f327(f327(f81(x48831),x48832),x48832),x48832)
% 206.97/207.88 [4885]~P108(x48851)+E(f327(f327(f238(x48851),x48852),x48852),x48852)
% 206.97/207.88 [4887]~P108(x48871)+E(f327(f327(f189(x48871),x48872),x48872),x48872)
% 206.97/207.88 [4888]~P96(x48881)+E(f327(f327(f102(x48881),x48882),x48882),x48882)
% 206.97/207.88 [4890]~P101(x48901)+E(f327(f327(f102(x48901),x48902),x48902),x48902)
% 206.97/207.88 [4891]~P96(x48911)+E(f327(f327(f103(x48911),x48912),x48912),x48912)
% 206.97/207.88 [4893]~P102(x48931)+E(f327(f327(f103(x48931),x48932),x48932),x48932)
% 206.97/207.88 [4911]~P74(x49111)+E(f327(f327(f23(x49111),x49112),x49112),f2(x49111))
% 206.97/207.88 [4925]~P74(x49251)+E(f327(f79(x49251),f327(f79(x49251),x49252)),x49252)
% 206.97/207.88 [4926]~P86(x49261)+E(f327(f79(x49261),f327(f79(x49261),x49262)),x49262)
% 206.97/207.88 [4943]~E(x49432,f2(a915))+E(f327(f327(f244(a915),x49431),x49432),f327(a113,f2(a915)))
% 206.97/207.88 [4978]~P68(x49781)+E(f327(f327(f80(x49781),f2(x49781)),x49782),x49782)
% 206.97/207.88 [4979]~P112(x49791)+E(f327(f327(f80(x49791),f2(x49791)),x49792),x49792)
% 206.97/207.88 [4980]~P81(x49801)+E(f327(f327(f80(x49801),f2(x49801)),x49802),x49802)
% 206.97/207.88 [4981]~P112(x49811)+E(f327(f327(f81(x49811),f78(x49811)),x49812),x49812)
% 206.97/207.88 [4982]~P75(x49821)+E(f327(f327(f81(x49821),f78(x49821)),x49822),x49822)
% 206.97/207.88 [4983]~P80(x49831)+E(f327(f327(f81(x49831),f78(x49831)),x49832),x49832)
% 206.97/207.88 [4984]~P98(x49841)+E(f327(f327(f102(x49841),f190(x49841)),x49842),x49842)
% 206.97/207.88 [4985]~P97(x49851)+E(f327(f327(f103(x49851),f242(x49851)),x49852),x49852)
% 206.97/207.88 [5003]~P112(x50031)+E(f327(f327(f81(x50031),f2(x50031)),x50032),f2(x50031))
% 206.97/207.88 [5004]~P129(x50041)+E(f327(f327(f81(x50041),f2(x50041)),x50042),f2(x50041))
% 206.97/207.88 [5005]~P97(x50051)+E(f327(f327(f102(x50051),f242(x50051)),x50052),f242(x50051))
% 206.97/207.88 [5006]~P80(x50061)+E(f327(f327(f244(x50061),f78(x50061)),x50062),f78(x50061))
% 206.97/207.88 [5007]~P98(x50071)+E(f327(f327(f103(x50071),f190(x50071)),x50072),f190(x50071))
% 206.97/207.88 [5008]~P58(x50081)+E(f327(f327(f37(x50081),f2(x50081)),x50082),f2(x50081))
% 206.97/207.88 [5009]~P122(x50091)+E(f327(f327(f291(x50091),f2(x50091)),x50092),f2(x50091))
% 206.97/207.88 [5017]E(x50171,f114(x50172))+E(f145(x50172,f327(f169(x50172),x50171)),f327(f142(x50172),x50171))
% 206.97/207.88 [5018]E(x50181,f114(x50182))+E(f327(f142(x50182),f327(f169(x50182),x50181)),f145(x50182,x50181))
% 206.97/207.88 [5019]E(x50191,f2(a915))+~E(f327(f327(f80(a915),x50192),x50191),x50192)
% 206.97/207.88 [5026]~P142(x50261)+E(f327(f104(x50261),f327(f101(a1),x50262)),f327(f101(x50261),x50262))
% 206.97/207.88 [5027]~P93(x50271)+E(f327(f104(x50271),f327(f105(a1),x50272)),f327(f105(x50271),x50272))
% 206.97/207.88 [5034]E(x50341,f78(a915))+~E(f327(f327(f81(a915),x50342),x50341),f78(a915))
% 206.97/207.88 [5035]E(x50351,f78(a915))+~E(f327(f327(f81(a915),x50351),x50352),f78(a915))
% 206.97/207.88 [5036]E(x50361,f2(a915))+~E(f327(f327(f80(a915),x50362),x50361),f2(a915))
% 206.97/207.88 [5037]E(x50371,f2(a915))+~E(f327(f327(f80(a915),x50371),x50372),f2(a915))
% 206.97/207.88 [5054]~P84(x50541)+E(f327(f75(x50541),f327(f79(x50541),x50542)),f327(f75(x50541),x50542))
% 206.97/207.88 [5055]~P119(x50551)+E(f327(f75(x50551),f327(f101(x50551),x50552)),f327(f101(x50551),x50552))
% 206.97/207.88 [5056]~P84(x50561)+E(f327(f75(x50561),f327(f75(x50561),x50562)),f327(f75(x50561),x50562))
% 206.97/207.88 [5057]~P68(x50571)+E(f327(f166(x50571),f327(f169(x50571),x50572)),f327(f166(x50571),x50572))
% 206.97/207.88 [5062]~E(x50621,f327(a113,f2(a915)))+E(f327(f327(f244(a915),x50621),x50622),f327(a113,f2(a915)))
% 206.97/207.88 [5071]~P74(x50711)+E(f327(f327(f23(x50711),f2(x50711)),x50712),f327(f79(x50711),x50712))
% 206.97/207.88 [5072]~E(x50722,f2(a915))+E(f140(a915,f327(f302(a915,x50721),x50722)),f114(a915))
% 206.97/207.88 [5081]~P93(x50811)+E(f327(f327(f80(x50811),x50812),f327(f105(x50811),a83)),x50812)
% 206.97/207.88 [5082]E(x50821,f2(a1))+E(f48(f327(f75(a1),x50822),f327(f75(a1),x50821)),f54(x50822,x50821))
% 206.97/207.88 [5098]~E(x50981,x50982)+P1(f327(f327(f234(a915),x50981),x50982))
% 206.97/207.88 [5105]~E(x51051,f2(a100))+E(f327(f327(f80(a915),f327(a20,x51051)),x51052),x51052)
% 206.97/207.88 [5106]~E(f327(f105(a1),x51062),f327(f101(a1),x51061))+E(x51061,f327(a106,f327(f105(a1),x51062)))
% 206.97/207.88 [5119]~P4(x51191)+P4(f327(f327(f244(a1),x51191),x51192))
% 206.97/207.88 [5120]~P74(x51201)+E(f327(f327(f80(x51201),x51202),f327(f79(x51201),x51202)),f2(x51201))
% 206.97/207.88 [5121]~P86(x51211)+E(f327(f327(f102(x51211),x51212),f327(f79(x51211),x51212)),f242(x51211))
% 206.97/207.88 [5122]~P86(x51221)+E(f327(f327(f103(x51221),x51222),f327(f79(x51221),x51222)),f190(x51221))
% 206.97/207.88 [5146]E(x51461,f2(a915))+~E(f327(f79(a1),f327(f101(a1),x51462)),f327(f101(a1),x51461))
% 206.97/207.88 [5147]E(x51471,f2(a915))+~E(f327(f79(a1),f327(f101(a1),x51471)),f327(f101(a1),x51472))
% 206.97/207.88 [5157]E(f196(x51571,x51572),f2(a1))+P1(f327(f327(f234(a1),x51572),x51571))
% 206.97/207.88 [5158]E(f179(x51581,x51582),f114(a1))+P1(f327(f327(f234(a1),x51581),x51582))
% 206.97/207.88 [5159]E(f241(x51591,x51592),f2(a100))+P1(f327(f327(f235(a100),x51591),x51592))
% 206.97/207.88 [5172]E(x51721,f327(a113,f2(a915)))+~E(f327(f327(f81(a915),x51722),x51721),f327(a113,f2(a915)))
% 206.97/207.88 [5173]E(x51731,f327(a113,f2(a915)))+~E(f327(f327(f81(a915),x51731),x51732),f327(a113,f2(a915)))
% 206.97/207.88 [5174]~P107(x51741)+P1(f327(f327(f234(x51741),x51742),x51742))
% 206.97/207.88 [5175]~P112(x51751)+P1(f327(f327(f287(x51751),x51752),x51752))
% 206.97/207.88 [5178]~P93(x51781)+E(f327(f327(f81(x51781),x51782),f327(f105(x51781),a98)),f327(f79(x51781),x51782))
% 206.97/207.88 [5198]~P142(x51981)+E(f327(f79(x51981),f327(f104(x51981),x51982)),f327(f104(x51981),f327(f79(a1),x51982)))
% 206.97/207.88 [5199]~P93(x51991)+E(f327(f79(x51991),f327(f105(x51991),x51992)),f327(f105(x51991),f327(f79(a1),x51992)))
% 206.97/207.88 [5229]~E(x52291,f327(a113,x52292))+P1(f327(f327(f235(a915),f2(a915)),x52291))
% 206.97/207.88 [5247]~P108(x52471)+E(f327(f79(f922(x52471,a910)),f327(f282(x52471),x52472)),f327(f283(x52471),x52472))
% 206.97/207.88 [5248]~P108(x52481)+E(f327(f79(f922(x52481,a910)),f327(f304(x52481),x52482)),f327(f301(x52481),x52482))
% 206.97/207.88 [5249]~P108(x52491)+E(f327(f79(f922(x52491,a910)),f327(f283(x52491),x52492)),f327(f282(x52491),x52492))
% 206.97/207.88 [5250]~P108(x52501)+E(f327(f79(f922(x52501,a910)),f327(f301(x52501),x52502)),f327(f304(x52501),x52502))
% 206.97/207.88 [5258]~E(f327(f101(a1),x52582),x52581)+P1(f327(f327(f234(a1),f2(a1)),x52581))
% 206.97/207.88 [5265]~E(x52652,f2(a1))+E(f54(x52651,x52652),f327(f327(f252(a1,a1),f2(a1)),f327(f75(a1),x52651)))
% 206.97/207.88 [5267]~P65(x52671)+P1(f327(f327(f234(x52671),f190(x52671)),x52672))
% 206.97/207.88 [5300]E(x53001,x53002)+~E(f327(f327(f80(a1),x53001),x53001),f327(f327(f80(a1),x53002),x53002))
% 206.97/207.88 [5304]~P1(f327(x53041,x53042))+P1(f327(x53041,f327(a106,f377(x53041))))
% 206.97/207.88 [5330]~P119(x53301)+E(f327(f327(f81(x53301),f82(x53301,x53302)),f327(f75(x53301),x53302)),x53302)
% 206.97/207.88 [5337]~E(x53372,f2(a915))+E(f85(f921(a915,a915),f49(x53371,x53372)),f327(f327(f252(a915,a915),f2(a915)),x53371))
% 206.97/207.88 [5342]~E(x53421,x53422)+~P1(f327(f327(f235(a915),x53421),x53422))
% 206.97/207.88 [5343]~E(x53431,x53432)+~P1(f327(f327(f235(a1),x53431),x53432))
% 206.97/207.88 [5346]~P146(x53461)+E(f327(f327(f80(x53461),f78(x53461)),f327(f101(x53461),x53462)),f327(f101(x53461),f327(a113,x53462)))
% 206.97/207.88 [5350]~E(x53501,f2(a915))+~P1(f327(f327(f235(a915),x53502),x53501))
% 206.97/207.88 [5364]E(f153(x53641,x53642),x53642)+~E(f327(f191(f916(x53641)),f153(x53641,x53642)),f327(f191(f916(x53641)),x53642))
% 206.97/207.88 [5365]E(f327(f36(x53651),f327(f173(x53651),x53652)),f327(f191(f916(x53651)),x53652))+~P1(f327(f138(x53651),x53652))
% 206.97/207.88 [5379]~P1(f327(x53791,f379(x53791)))+P1(f327(x53791,f327(f101(a1),x53792)))
% 206.97/207.88 [5389]E(f241(x53891,x53892),x53892)+~P1(f327(f327(f235(a100),x53891),x53892))
% 206.97/207.88 [5391]E(f272(x53911,x53912),f78(a100))+~P1(f327(f327(f235(a100),x53912),x53911))
% 206.97/207.88 [5392]E(f179(x53921,x53922),f114(a1))+~P1(f327(f327(f235(a1),x53922),x53921))
% 206.97/207.88 [5393]E(f129(x53931,x53932),f116(a1))+~P1(f327(f327(f235(a1),x53931),x53932))
% 206.97/207.88 [5395]~P110(x53951)+E(f303(x53951,x53952,x53952),f327(f327(f309(x53951),x53952),f190(f922(x53951,a910))))
% 206.97/207.88 [5415]~E(f327(f327(f23(a915),x54151),x54152),f2(a915))+P1(f327(f327(f234(a915),x54151),x54152))
% 206.97/207.88 [5438]~E(x54382,f2(a915))+E(f56(x54381,x54382,f114(x54381)),f327(f327(f152(f916(x54381)),f114(x54381)),f114(f916(x54381))))
% 206.97/207.88 [5442]~P107(x54421)+~P1(f327(f327(f235(x54421),x54422),x54422))
% 206.97/207.88 [5444]~E(f46(a1,x54441,x54442),f2(a1))+E(f46(a1,x54441,f327(f79(a1),x54442)),f2(a1))
% 206.97/207.88 [5446]~E(f46(a1,x54461,x54462),f2(a1))+E(f46(a1,f327(f79(a1),x54461),x54462),f2(a1))
% 206.97/207.88 [5453]E(f327(f302(a915,x54531),f327(a113,x54532)),f190(f922(a915,a910)))+P1(f327(f327(f234(a915),x54531),x54532))
% 206.97/207.88 [5477]E(f140(a915,f327(f302(a915,x54771),x54772)),f114(a915))+P1(f327(f327(f235(a915),x54771),x54772))
% 206.97/207.88 [5482]~E(f327(f36(x54821),f327(f173(x54821),x54822)),f327(f191(f916(x54821)),x54822))+P1(f327(f138(x54821),x54822))
% 206.97/207.88 [5486]~P1(f327(f138(x54861),x54862))+P1(f327(f138(x54861),f327(f168(x54861),x54862)))
% 206.97/207.88 [5487]~P1(f327(f138(x54871),x54872))+P1(f327(f138(x54871),f327(f172(x54871),x54872)))
% 206.97/207.88 [5488]~P1(f327(f138(x54881),x54882))+P1(f327(f138(x54881),f327(f169(x54881),x54882)))
% 206.97/207.88 [5496]P1(f327(x54961,x54962))+~P1(f327(x54961,f327(a106,f378(x54961))))
% 206.97/207.88 [5497]P1(f327(f327(f234(a915),x54972),x54971))+P1(f327(f327(f234(a915),x54971),x54972))
% 206.97/207.88 [5498]P1(f327(f327(f234(a1),x54982),x54981))+P1(f327(f327(f234(a1),x54981),x54982))
% 206.97/207.88 [5502]~P84(x55021)+P1(f327(f327(f234(x55021),x55022),f327(f75(x55021),x55022)))
% 206.97/207.88 [5505]P1(f327(x55051,f385(x55051)))+~P1(f327(x55051,f327(f101(a1),x55052)))
% 206.97/207.88 [5529]E(f327(f327(f23(a915),x55291),x55292),f2(a915))+~P1(f327(f327(f234(a915),x55291),x55292))
% 206.97/207.88 [5530]E(f327(f327(f37(a915),x55301),x55302),f2(a915))+~P1(f327(f327(f235(a915),x55301),x55302))
% 206.97/207.88 [5549]E(f46(a915,x55491,x55492),x55491)+~P1(f327(f327(f235(a915),x55491),x55492))
% 206.97/207.88 [5557]E(f46(a1,x55571,f327(f79(a1),x55572)),f292(x55571,x55572))+P1(f327(f327(f234(a1),f2(a1)),x55572))
% 206.97/207.88 [5570]E(f327(f327(f23(a1),x55701),x55702),f196(x55701,x55702))+~P1(f327(f327(f234(a1),x55702),x55701))
% 206.97/207.88 [5590]P1(f327(f327(f234(a1),f2(a1)),f379(x55901)))+P1(f327(x55901,f327(f101(a1),x55902)))
% 206.97/207.88 [5603]~P126(x56031)+P1(f327(f327(f234(x56031),f2(x56031)),f327(f101(x56031),x56032)))
% 206.97/207.88 [5604]~P84(x56041)+P1(f327(f327(f234(x56041),f2(x56041)),f327(f75(x56041),x56042)))
% 206.97/207.88 [5632]E(f327(f327(f80(a915),x56321),f813(x56322,x56321)),x56322)+~P1(f327(f327(f234(a915),x56321),x56322))
% 206.97/207.88 [5644]~E(f327(f105(a1),x56441),f327(f101(a1),x56442))+P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x56441)))
% 206.97/207.88 [5647]E(f303(a1,x56471,x56472),f190(f922(a1,a910)))+~P1(f327(f327(f235(a1),x56472),x56471))
% 206.97/207.88 [5650]~P119(x56501)+E(f327(f327(f81(x56501),f327(f75(x56501),x56502)),f327(f75(x56501),x56502)),f327(f327(f81(x56501),x56502),x56502))
% 206.97/207.88 [5655]E(f140(a915,f327(f302(a915,x56551),f327(a113,x56552))),f114(a915))+P1(f327(f327(f234(a915),x56551),x56552))
% 206.97/207.88 [5659]E(f327(f327(f37(a1),x56591),x56592),f293(x56591,x56592))+~P1(f327(f327(f234(a1),f2(a1)),x56592))
% 206.97/207.88 [5679]P1(f327(f138(x56791),x56792))+~P1(f327(f138(x56791),f327(f168(x56791),x56792)))
% 206.97/207.88 [5680]P1(f327(f138(x56801),x56802))+~P1(f327(f138(x56801),f327(f169(x56801),x56802)))
% 206.97/207.88 [5707]P1(f327(f35(a915),x57071))+P1(f327(f327(f329(a915),f882(x57071,x57072)),x57071))
% 206.97/207.88 [5708]P1(f327(f35(a915),x57081))+P1(f327(f327(f329(a915),f884(x57081,x57082)),x57081))
% 206.97/207.88 [5711]P1(f327(f327(f235(a915),x57112),f327(a113,x57111)))+P1(f327(f327(f235(a915),x57111),x57112))
% 206.97/207.88 [5712]E(f46(a1,x57121,x57122),f292(x57121,x57122))+~P1(f327(f327(f234(a1),f2(a1)),x57122))
% 206.97/207.88 [5715]E(f140(a915,f327(f302(a915,x57151),x57152)),f114(a915))+~P1(f327(f327(f234(a915),x57152),x57151))
% 206.97/207.88 [5716]~P78(x57161)+E(f327(f310(x57161,x57161,f79(x57161)),f327(f282(x57161),x57162)),f327(f304(x57161),f327(f79(x57161),x57162)))
% 206.97/207.88 [5717]~P78(x57171)+E(f327(f310(x57171,x57171,f79(x57171)),f327(f304(x57171),x57172)),f327(f282(x57171),f327(f79(x57171),x57172)))
% 206.97/207.88 [5718]~P78(x57181)+E(f327(f310(x57181,x57181,f79(x57181)),f327(f283(x57181),x57182)),f327(f301(x57181),f327(f79(x57181),x57182)))
% 206.97/207.88 [5719]~P78(x57191)+E(f327(f310(x57191,x57191,f79(x57191)),f327(f301(x57191),x57192)),f327(f283(x57191),f327(f79(x57191),x57192)))
% 206.97/207.88 [5730]E(x57301,f190(f922(x57302,a910)))+P1(f327(f327(f329(x57302),f662(x57301,x57302)),x57301))
% 206.97/207.88 [5731]E(x57311,f190(f922(x57312,a910)))+P1(f327(f327(f329(x57312),f535(x57311,x57312)),x57311))
% 206.97/207.88 [5742]~P1(f327(f327(f235(a915),x57421),x57422))+P1(f327(f327(f234(a915),x57421),x57422))
% 206.97/207.88 [5743]~P1(f327(f327(f235(a1),x57431),x57432))+P1(f327(f327(f234(a1),x57431),x57432))
% 206.97/207.88 [5759]E(f48(x57591,x57592),f327(f327(f252(a1,a1),f2(a1)),x57591))+~P1(f327(f327(f235(a1),x57591),x57592))
% 206.97/207.88 [5761]E(f217(f327(f79(a1),x57611),f327(f79(a1),x57612)),f217(x57611,x57612))+~P1(f327(f327(f235(a1),x57612),f2(a1)))
% 206.97/207.88 [5773]E(x57731,x57732)+~E(f327(a3,f327(a113,f327(a20,x57731))),f327(a3,f327(a113,f327(a20,x57732))))
% 206.97/207.88 [5778]E(f48(x57781,x57782),f327(f327(f252(a1,a1),f2(a1)),x57781))+~P1(f327(f327(f234(a1),x57782),f2(a1)))
% 206.97/207.88 [5807]E(f46(a915,f327(f105(a915),x58071),f327(f105(a915),x58072)),f2(a915))+~P1(f327(a195,f327(f105(a1),x58071)))
% 206.97/207.88 [5821]P1(f327(f327(f234(a1),f2(a1)),f385(x58211)))+~P1(f327(x58211,f327(f101(a1),x58212)))
% 206.97/207.88 [5854]P38(f303(a1,x58541,x58542))+~P1(f327(f327(f234(a1),f2(a1)),x58541))
% 206.97/207.88 [5859]~P1(f327(f35(x58591),x58592))+P1(f327(f35(f922(x58591,a910)),f327(f308(x58591),x58592)))
% 206.97/207.88 [5872]E(f327(f327(f80(a1),x58721),f327(f101(a1),f380(x58722,x58721))),x58722)+~P1(f327(f327(f234(a1),x58721),x58722))
% 206.97/207.88 [5880]P1(f327(f327(f234(a915),x58801),x58802))+P1(f327(f327(f234(a915),f327(a113,x58802)),x58801))
% 206.97/207.88 [5924]E(f327(f327(f37(a915),f327(f105(a915),x59241)),f327(f105(a915),x59242)),f2(a915))+~P1(f327(a195,f327(f105(a1),x59241)))
% 206.97/207.88 [5925]E(f327(f327(f81(a915),f327(f105(a915),x59251)),f327(f105(a915),x59252)),f2(a915))+~P1(f327(f327(f235(a1),x59251),a83))
% 206.97/207.88 [5927]P1(f327(f327(f234(a915),x59271),f327(a113,x59272)))+~P1(f327(f327(f234(a915),x59271),x59272))
% 206.97/207.88 [5929]P1(f327(f327(f235(a915),x59291),f327(a113,x59292)))+~P1(f327(f327(f234(a915),x59291),x59292))
% 206.97/207.88 [5931]P1(f327(f327(f235(a915),x59311),f327(a113,x59312)))+~P1(f327(f327(f235(a915),x59311),x59312))
% 206.97/207.88 [5934]~E(x59341,x59342)+P1(f327(f327(f235(a1),x59341),f327(f327(f80(a1),x59342),f78(a1))))
% 206.97/207.88 [5937]E(f46(a1,x59371,x59372),f2(a1))+E(f327(f327(f23(a1),x59372),f46(a1,x59371,x59372)),f46(a1,f327(f79(a1),x59371),x59372))
% 206.97/207.88 [5946]E(x59461,f114(x59462))+P1(f327(f327(f329(x59462),f145(x59462,x59461)),f327(f173(x59462),x59461)))
% 206.97/207.88 [5958]E(f85(f921(a915,a915),f49(x59581,x59582)),f327(f327(f252(a915,a915),f2(a915)),x59581))+~P1(f327(f327(f235(a915),x59581),x59582))
% 206.97/207.88 [5993]E(f327(f327(f23(a915),f327(f105(a915),x59931)),f327(f105(a915),x59932)),f327(f105(a915),x59931))+~P1(f327(f327(f235(a1),x59932),a83))
% 206.97/207.88 [5994]E(f327(f327(f80(a915),f327(f105(a915),x59941)),f327(f105(a915),x59942)),f327(f105(a915),x59942))+~P1(f327(f327(f235(a1),x59941),a83))
% 206.97/207.88 [6001]E(f327(a113,f327(f327(f80(a915),x60011),f338(x60012,x60011))),x60012)+~P1(f327(f327(f235(a915),x60011),x60012))
% 206.97/207.88 [6025]P1(f327(x60251,x60252))+~P1(f327(x60251,f327(a89,f566(x60252,x60251))))
% 206.97/207.88 [6026]P1(f327(x60261,x60262))+~P1(f327(x60261,f327(a3,f814(x60262,x60261))))
% 206.97/207.88 [6035]~P1(f327(f327(f235(a915),x60351),f327(a113,x60352)))+P1(f327(f327(f234(a915),x60351),x60352))
% 206.97/207.88 [6085]E(f327(f327(f309(a915),x60851),f327(f302(a915,x60852),x60851)),f327(f302(a915,x60852),f327(a113,x60851)))+~P1(f327(f327(f234(a915),x60852),x60851))
% 206.97/207.88 [6087]E(x60871,f114(x60872))+E(f327(f327(f135(x60872),f115(x60872,x60871)),f327(f327(f152(x60872),f145(x60872,x60871)),f114(x60872))),x60871)
% 206.97/207.88 [6104]P1(f327(f35(x61041),x61042))+~P1(f327(f327(f235(a915),f2(a915)),f327(f36(x61041),x61042)))
% 206.97/207.88 [6108]~E(x61081,f190(f922(x61082,a910)))+~P1(f327(f327(f235(a915),f2(a915)),f327(f36(x61082),x61081)))
% 206.97/207.88 [6120]~P1(f327(f327(f235(a915),x61201),x61202))+P1(f327(f327(f234(a915),f327(a113,x61201)),x61202))
% 206.97/207.88 [6124]~P108(x61241)+E(f151(x61241,x61241,f5(x61241),f153(x61241,x61242)),f140(x61241,f327(f173(x61241),x61242)))
% 206.97/207.88 [6127]E(x61271,f114(x61272))+P1(f327(f327(f329(x61272),f327(f142(x61272),x61271)),f327(f173(x61272),x61271)))
% 206.97/207.88 [6133]~P126(x61331)+P1(f327(f327(f235(x61331),x61332),f327(f327(f80(x61331),x61332),f78(x61331))))
% 206.97/207.88 [6135]~P84(x61351)+P1(f327(f327(f234(x61351),f327(f79(x61351),x61352)),f327(f75(x61351),x61352)))
% 206.97/207.88 [6149]~E(x61491,x61492)+E(f290(a915,f287(a915),x61491,x61492),f327(f327(f309(a915),x61491),f190(f922(a915,a910))))
% 206.97/207.88 [6167]P1(f327(f35(a915),x61671))+~P1(f327(f327(f234(a915),f882(x61671,x61672)),x61672))
% 206.97/207.88 [6168]P1(f327(f35(a915),x61681))+~P1(f327(f327(f235(a915),f884(x61681,x61682)),x61682))
% 206.97/207.88 [6171]~P1(f327(f35(f921(x61711,x61711)),x61712))+P1(f327(f35(x61711),f327(f281(x61711),x61712)))
% 206.97/207.88 [6226]E(f290(a915,f287(a915),x62261,x62262),f190(f922(a915,a910)))+P1(f327(f327(f287(a915),x62261),x62262))
% 206.97/207.88 [6232]~P1(f327(f327(f235(a915),x62322),f327(a113,x62321)))+~P1(f327(f327(f235(a915),x62321),x62322))
% 206.97/207.88 [6233]~P110(x62331)+E(f327(f327(f103(f922(x62331,a910)),f327(f301(x62331),x62332)),f327(f283(x62331),x62332)),f327(f327(f309(x62331),x62332),f190(f922(x62331,a910))))
% 206.97/207.88 [6245]P1(f327(f35(x62451),x62452))+~P1(f327(f35(f922(x62451,a910)),f327(f308(x62451),x62452)))
% 206.97/207.88 [6268]P1(f327(f327(f234(a915),f327(a113,x62681)),f327(a113,x62682)))+~P1(f327(f327(f234(a915),x62681),x62682))
% 206.97/207.88 [6269]P1(f327(f327(f234(a915),f327(a20,x62691)),f327(a20,x62692)))+~P1(f327(f327(f234(a100),x62691),x62692))
% 206.97/207.88 [6270]P1(f327(f327(f234(a100),f327(a3,x62701)),f327(a3,x62702)))+~P1(f327(f327(f234(a915),x62701),x62702))
% 206.97/207.88 [6272]P1(f327(f327(f235(a915),f327(a113,x62721)),f327(a113,x62722)))+~P1(f327(f327(f235(a915),x62721),x62722))
% 206.97/207.88 [6273]P1(f327(f327(f235(a915),f327(a20,x62731)),f327(a20,x62732)))+~P1(f327(f327(f235(a100),x62731),x62732))
% 206.97/207.88 [6274]P1(f327(f327(f235(a100),f327(a3,x62741)),f327(a3,x62742)))+~P1(f327(f327(f235(a915),x62741),x62742))
% 206.97/207.88 [6279]E(x62791,x62792)+~E(f327(f310(a915,a1,f101(a1)),x62791),f327(f310(a915,a1,f101(a1)),x62792))
% 206.97/207.88 [6295]P1(f327(f327(f234(a915),x62951),x62952))+~P1(f327(f327(f234(a915),f327(a113,x62951)),x62952))
% 206.97/207.88 [6298]P1(f327(f327(f235(a915),x62981),x62982))+~P1(f327(f327(f234(a915),f327(a113,x62981)),x62982))
% 206.97/207.88 [6299]P1(f327(f327(f235(a915),x62991),x62992))+~P1(f327(f327(f235(a915),f327(a113,x62991)),x62992))
% 206.97/207.88 [6318]E(f46(a1,x63181,x63182),f2(a1))+E(f327(f327(f23(a1),f46(a1,x63181,x63182)),x63182),f46(a1,x63181,f327(f79(a1),x63182)))
% 206.97/207.88 [6385]E(f327(f36(f922(x63851,a910)),f327(f308(x63851),x63852)),f327(f327(f244(a915),f327(a113,f327(a113,f2(a915)))),f327(f36(x63851),x63852)))+~P1(f327(f35(x63851),x63852))
% 206.97/207.88 [6388]E(x63881,f114(x63882))+E(f327(f327(f165(x63882),x63881),f327(f327(f23(a915),f327(f191(f916(x63882)),x63881)),f78(a915))),f145(x63882,x63881))
% 206.97/207.88 [6410]E(x64101,f114(x64102))+E(f327(f327(f135(x64102),f327(f172(x64102),x64101)),f327(f327(f152(x64102),f327(f142(x64102),x64101)),f114(x64102))),f327(f168(x64102),x64101))
% 206.97/207.88 [6441]~P1(f327(f35(x64411),f38(f922(x64411,a910),x64412)))+P1(f327(f35(f922(x64411,a910)),x64412))
% 206.97/207.88 [6463]P1(f327(f327(f234(a915),f327(f105(a915),x64631)),f327(f105(a915),x64632)))+~P1(f327(f327(f234(a1),x64631),a83))
% 206.97/207.88 [6485]~P1(f327(f327(f235(a1),x64851),x64852))+P1(f327(f327(f234(a1),x64851),f327(f327(f23(a1),x64852),f78(a1))))
% 206.97/207.88 [6486]~P1(f327(f327(f234(a1),x64861),x64862))+P1(f327(f327(f235(a1),x64861),f327(f327(f80(a1),x64862),f78(a1))))
% 206.97/207.88 [6487]~P1(f327(f327(f235(a1),x64871),x64872))+P1(f327(f327(f235(a1),x64871),f327(f327(f80(a1),x64872),f78(a1))))
% 206.97/207.88 [6489]~P1(f327(f327(f234(a1),x64891),x64892))+P1(f327(f327(f234(a915),f327(f105(a915),x64891)),f327(f105(a915),x64892)))
% 206.97/207.88 [6491]~P1(f327(f327(f234(a915),x64911),x64912))+P1(f327(f327(f234(a1),f327(f101(a1),x64911)),f327(f101(a1),x64912)))
% 206.97/207.88 [6492]~P1(f327(f327(f234(a1),x64921),x64922))+P1(f327(f327(f234(a1),f327(f105(a1),x64921)),f327(f105(a1),x64922)))
% 206.97/207.88 [6494]~P1(f327(f327(f235(a915),x64941),x64942))+P1(f327(f327(f235(a1),f327(f101(a1),x64941)),f327(f101(a1),x64942)))
% 206.97/207.88 [6495]~P1(f327(f327(f235(a1),x64951),x64952))+P1(f327(f327(f235(a1),f327(f105(a1),x64951)),f327(f105(a1),x64952)))
% 206.97/207.88 [6515]~P1(f327(f327(f234(a915),x65151),x65152))+~P1(f327(f327(f234(a915),f327(a113,x65152)),x65151))
% 206.97/207.88 [6558]~P1(f327(f327(f234(a915),f327(a113,x65581)),f327(a113,x65582)))+P1(f327(f327(f234(a915),x65581),x65582))
% 206.97/207.88 [6559]~P1(f327(f327(f234(a100),f327(a3,x65591)),f327(a3,x65592)))+P1(f327(f327(f234(a915),x65591),x65592))
% 206.97/207.88 [6560]~P1(f327(f327(f234(a915),f327(a20,x65601)),f327(a20,x65602)))+P1(f327(f327(f234(a100),x65601),x65602))
% 206.97/207.88 [6562]~P1(f327(f327(f235(a915),f327(a113,x65621)),f327(a113,x65622)))+P1(f327(f327(f235(a915),x65621),x65622))
% 206.97/207.88 [6563]~P1(f327(f327(f235(a100),f327(a3,x65631)),f327(a3,x65632)))+P1(f327(f327(f235(a915),x65631),x65632))
% 206.97/207.88 [6564]~P1(f327(f327(f235(a915),f327(a106,x65641)),f327(a106,x65642)))+P1(f327(f327(f235(a1),x65641),x65642))
% 206.97/207.88 [6565]~P1(f327(f327(f235(a915),f327(a20,x65651)),f327(a20,x65652)))+P1(f327(f327(f235(a100),x65651),x65652))
% 206.97/207.88 [6604]~P1(f327(f327(f235(a915),f327(a106,x66042)),f327(a106,x66041)))+P1(f327(f327(f235(a1),f2(a1)),x66041))
% 206.97/207.88 [6635]P1(f327(f327(f234(a1),f2(a1)),f46(a1,x66351,x66352)))+~P1(f327(f327(f235(a1),f2(a1)),x66352))
% 206.97/207.88 [6796]P35(x67961,x67962)+~E(f327(f327(f289(x67961,x67961,x67961),x67962),x67962),f190(f922(f921(x67961,x67961),a910)))
% 206.97/207.88 [6810]~P35(x68101,x68102)+P35(x68101,f327(f327(f289(x68101,x68101,x68101),x68102),x68102))
% 206.97/207.88 [6821]P1(f327(f327(f234(a1),x68211),x68212))+~P1(f327(f327(f235(a1),x68211),f327(f327(f80(a1),x68212),f78(a1))))
% 206.97/207.88 [6822]P1(f327(f327(f235(a1),x68221),x68222))+~P1(f327(f327(f234(a1),x68221),f327(f327(f23(a1),x68222),f78(a1))))
% 206.97/207.88 [6825]P1(f327(f327(f234(a915),x68251),x68252))+~P1(f327(f327(f234(a1),f327(f101(a1),x68251)),f327(f101(a1),x68252)))
% 206.97/207.88 [6826]P1(f327(f327(f234(a1),x68261),x68262))+~P1(f327(f327(f234(a1),f327(f105(a1),x68261)),f327(f105(a1),x68262)))
% 206.97/207.88 [6828]P1(f327(f327(f235(a915),x68281),x68282))+~P1(f327(f327(f235(a1),f327(f101(a1),x68281)),f327(f101(a1),x68282)))
% 206.97/207.88 [6829]P1(f327(f327(f235(a1),x68291),x68292))+~P1(f327(f327(f235(a915),f327(f105(a915),x68291)),f327(f105(a915),x68292)))
% 206.97/207.88 [6830]P1(f327(f327(f235(a1),x68301),x68302))+~P1(f327(f327(f235(a1),f327(f105(a1),x68301)),f327(f105(a1),x68302)))
% 206.97/207.88 [6902]~E(f290(a915,f287(a915),x69021,x69022),f190(f922(a915,a910)))+~P1(f327(f327(f287(a915),x69021),x69022))
% 206.97/207.88 [6927]~E(f692(x69272,x69271),f114(x69271))+E(f327(f143(f916(x69271),f916(x69271),f135(x69271),f114(x69271)),x69272),f114(x69271))
% 206.97/207.88 [6928]~E(f693(x69282,x69281),f114(x69281))+E(f327(f143(f916(x69281),f916(x69281),f135(x69281),f114(x69281)),x69282),f114(x69281))
% 206.97/207.88 [6932]~P3(x69321)+E(f327(f143(x69321,x69321,f103(x69321),f242(x69321)),x69322),f39(x69321,f327(f173(x69321),x69322)))
% 206.97/207.88 [6933]~P3(x69331)+E(f327(f143(x69331,x69331,f102(x69331),f190(x69331)),x69332),f38(x69331,f327(f173(x69331),x69332)))
% 206.97/207.88 [6947]E(x69471,f2(a100))+E(f327(f327(f80(a915),f327(a20,f327(f327(f23(a100),x69471),f78(a100)))),f327(a113,x69472)),f327(f327(f80(a915),f327(a20,x69471)),x69472))
% 206.97/207.88 [6996]P1(f327(f327(f235(a1),f327(f327(f23(a1),x69961),x69962)),f2(a1)))+~P1(f327(f327(f235(a1),x69961),x69962))
% 206.97/207.88 [7021]~P108(x70211)+E(f327(f327(f102(f922(x70211,a910)),f327(f327(f309(x70211),x70212),f190(f922(x70211,a910)))),f327(f304(x70211),x70212)),f327(f283(x70211),x70212))
% 206.97/207.88 [7098]~P57(x70981,x70982)+P35(x70981,f327(f262(f921(x70981,x70981)),f327(f257(x70981,x70981,a910),x70982)))
% 206.97/207.88 [7099]~P57(x70991,x70992)+P55(x70991,f327(f262(f921(x70991,x70991)),f327(f257(x70991,x70991,a910),x70992)))
% 206.97/207.88 [7100]~P47(x71001,x71002)+P36(x71001,f327(f262(f921(x71001,x71001)),f327(f257(x71001,x71001,a910),x71002)))
% 206.97/207.88 [7101]~P48(x71011,x71012)+P49(x71011,f327(f262(f921(x71011,x71011)),f327(f257(x71011,x71011,a910),x71012)))
% 206.97/207.88 [7102]E(x71021,f190(f922(x71022,a910)))+~P1(f327(f327(f234(f922(x71022,a910)),x71021),f190(f922(x71022,a910))))
% 206.97/207.88 [7184]~P1(f327(f327(f235(a915),f2(a915)),x71842))+P1(f327(f327(f234(a915),f46(a915,x71841,x71842)),x71842))
% 206.97/207.88 [7185]~P1(f327(f327(f234(a1),f2(a1)),x71851))+P1(f327(f327(f234(a1),f46(a1,x71851,x71852)),x71851))
% 206.97/207.88 [7186]~P1(f327(f327(f235(a915),f2(a915)),x71862))+P1(f327(f327(f235(a915),f46(a915,x71861,x71862)),x71862))
% 206.97/207.88 [7188]~P1(f327(f327(f235(a1),f2(a1)),x71882))+P1(f327(f327(f235(a1),f46(a1,x71881,x71882)),x71882))
% 206.97/207.88 [7266]~P110(x72661)+E(f327(f327(f23(f922(x72661,a910)),f327(f327(f309(x72661),x72662),f190(f922(x72661,a910)))),f327(f282(x72661),x72662)),f327(f327(f309(x72661),x72662),f190(f922(x72661,a910))))
% 206.97/207.88 [7341]~P41(x73411,x73412)+P50(x73411,f242(f922(x73411,a910)),f327(f262(f921(x73411,x73411)),f327(f257(x73411,x73411,a910),x73412)))
% 206.97/207.88 [7342]P1(f327(x73421,x73422))+P1(f327(f327(f329(f922(f921(a915,a915),a910)),f566(x73422,x73421)),a99))
% 206.97/207.88 [7387]E(f327(f327(f135(a915),f140(a915,f327(f302(a915,x73871),x73872))),f327(f327(f152(a915),x73872),f114(a915))),f140(a915,f327(f302(a915,x73871),f327(a113,x73872))))+~P1(f327(f327(f234(a915),x73871),x73872))
% 206.97/207.88 [7538]E(x75381,f2(a915))+~E(f327(f143(a915,a915,f80(a915),x75381),x75382),f2(a915))
% 206.97/207.88 [7562]~P1(f327(f327(f235(a1),f327(f327(f23(a1),x75621),x75622)),f2(a1)))+P1(f327(f327(f235(a1),x75621),x75622))
% 206.97/207.88 [7589]P35(x75891,x75892)+~P35(x75891,f327(f327(f289(x75891,x75891,x75891),x75892),x75892))
% 206.97/207.88 [7615]~P1(f327(f327(f234(a915),f327(a113,x76151)),x76152))+P1(f186(a910,a239,f327(f234(a915),x76151),x76152))
% 206.97/207.88 [7768]P23(a915,a915,f327(f327(f7(a915,a915,a915),f23(a915)),x77681),x77682)+P1(f327(f327(f329(a915),f489(x77681,x77682)),x77682))
% 206.97/207.88 [7826]E(f327(f327(f327(f65(a915,x78261,f80(a915)),f327(f16(a915,x78261),f78(a915))),f2(a915)),x78262),f327(f36(x78261),x78262))+~P1(f327(f35(x78261),x78262))
% 206.97/207.88 [7868]P23(a915,a915,f327(f327(f7(a915,a915,a915),f23(a915)),x78681),x78682)+~P1(f327(f327(f234(a915),x78681),f489(x78681,x78682)))
% 206.97/207.88 [7923]P35(x79231,x79232)+P1(f327(f327(f234(f922(x79231,a910)),f574(x79232,x79231)),f327(f285(x79231,x79231,x79232),f574(x79232,x79231))))
% 206.97/207.88 [7928]P57(x79281,x79282)+~P35(x79281,f327(f262(f921(x79281,x79281)),f327(f257(x79281,x79281,a910),x79282)))
% 206.97/207.88 [7929]P47(x79291,x79292)+~P36(x79291,f327(f262(f921(x79291,x79291)),f327(f257(x79291,x79291,a910),x79292)))
% 206.97/207.88 [7930]P48(x79301,x79302)+~P49(x79301,f327(f262(f921(x79301,x79301)),f327(f257(x79301,x79301,a910),x79302)))
% 206.97/207.88 [7996]P1(f327(f327(f234(a915),f327(a113,x79961)),x79962))+~P1(f186(a910,a239,f327(f234(a915),x79961),x79962))
% 206.97/207.88 [8053]P1(f327(f327(f329(f921(a915,a915)),f327(f327(f252(a915,a915),x80531),x80532)),f307(a915,a317)))+~P1(f327(f327(f234(a915),x80531),x80532))
% 206.97/207.88 [8149]P41(x81491,x81492)+~P50(x81491,f242(f922(x81491,a910)),f327(f262(f921(x81491,x81491)),f327(f257(x81491,x81491,a910),x81492)))
% 206.97/207.88 [8204]~P1(f327(f138(x82041),x82042))+P1(f327(f138(f922(x82041,a910)),f327(f327(f155(f916(x82041),f922(x82041,a910)),f173(x82041)),f55(x82041,x82042))))
% 206.97/207.88 [8405]~P35(x84051,f327(f286(x84051,x84051),x84052))+P35(x84051,f327(f286(x84051,x84051),f327(f327(f289(x84051,x84051,x84051),x84052),f307(x84051,x84052))))
% 206.97/207.88 [8503]P24(x85031,a915,f817(x85032,x85031),x85032,f327(f302(a915,f2(a915)),f327(f36(x85031),x85032)))+~P1(f327(f35(x85031),x85032))
% 206.97/207.88 [8504]P24(a915,x85041,f818(x85042,x85041),f327(f302(a915,f2(a915)),f327(f36(x85041),x85042)),x85042)+~P1(f327(f35(x85041),x85042))
% 206.97/207.88 [8521]P24(a915,x85211,f819(x85212,x85211),f303(a915,f78(a915),f327(f36(x85211),x85212)),x85212)+~P1(f327(f35(x85211),x85212))
% 206.97/207.88 [8530]P1(f327(f35(f921(x85301,x85301)),f327(f327(f289(x85301,x85301,x85301),x85302),f307(x85301,x85302))))+~P1(f327(f35(f921(x85301,x85301)),x85302))
% 206.97/207.88 [8557]E(x85571,f2(a1))+P1(f327(f50(x85572,x85571),f327(f327(f252(a1,a1),f327(f327(f37(a1),x85572),x85571)),f46(a1,x85572,x85571))))
% 206.97/207.88 [8570]~P1(f327(f327(f329(f921(a915,a915)),f327(f327(f252(a915,a915),x85701),x85702)),f307(a915,a317)))+P1(f327(f327(f234(a915),x85701),x85702))
% 206.97/207.88 [8587]~P81(x85871)+E(f327(f143(x85871,x85871,f327(f7(x85871,x85871,x85871),f80(x85871)),f2(x85871)),f327(f169(x85871),x85872)),f327(f143(x85871,x85871,f80(x85871),f2(x85871)),x85872))
% 206.97/207.88 [8758]~P108(x87581)+E(f327(f143(f916(x87581),x87581,f327(f7(x87581,f916(x87581),f916(x87581)),f149(x87581,x87581,f5(x87581))),f114(x87581)),x87582),f151(x87581,x87581,f5(x87581),x87582))
% 206.97/207.88 [8869]~P55(x88691,f327(f262(f921(x88691,x88691)),f327(f257(x88691,x88691,a910),x88692)))+P55(x88691,f327(f262(f921(x88691,x88691)),f327(f257(x88691,x88691,a910),f243(x88691,x88691,x88692))))
% 206.97/207.88 [8883]P1(f327(f327(f329(f921(a915,a915)),f327(f327(f252(a915,a915),x88831),x88832)),f327(f327(f289(a915,a915,a915),a317),f307(a915,a317))))+~P1(f327(f327(f235(a915),x88831),x88832))
% 206.97/207.88 [8929]~P1(f327(f35(f921(x89291,x89291)),f327(f327(f289(x89291,x89291,x89291),x89292),f307(x89291,x89292))))+P1(f327(f35(f921(x89291,x89291)),x89292))
% 206.97/207.88 [8987]~P55(x89871,f327(f262(f921(x89871,x89871)),f327(f257(x89871,x89871,a910),f243(x89871,x89871,x89872))))+P55(x89871,f327(f262(f921(x89871,x89871)),f327(f257(x89871,x89871,a910),x89872)))
% 206.97/207.88 [9188]P55(x91881,x91882)+P1(f327(f327(f329(f921(x91881,x91881)),f327(f327(f252(x91881,x91881),f595(x91882,x91881)),f595(x91882,x91881))),f327(f327(f289(x91881,x91881,x91881),x91882),f307(x91881,x91882))))
% 206.97/207.88 [9189]P55(x91891,x91892)+P1(f327(f327(f329(f921(x91891,x91891)),f327(f327(f252(x91891,x91891),f611(x91892,x91891)),f611(x91892,x91891))),f327(f327(f289(x91891,x91891,x91891),x91892),f307(x91891,x91892))))
% 206.97/207.88 [9306]~P1(f327(f327(f329(f921(a915,a915)),f327(f327(f252(a915,a915),x93061),x93062)),f327(f327(f289(a915,a915,a915),a317),f307(a915,a317))))+P1(f327(f327(f235(a915),x93061),x93062))
% 206.97/207.88 [5243]~P93(x52431)+E(f327(f327(f80(x52431),f327(f105(x52431),a83)),x52432),x52432)
% 206.97/207.88 [5272]~P67(x52721)+E(f327(f327(f80(x52721),f327(f79(x52721),x52722)),x52722),f2(x52721))
% 206.97/207.88 [5273]~P74(x52731)+E(f327(f327(f80(x52731),f327(f79(x52731),x52732)),x52732),f2(x52731))
% 206.97/207.88 [5274]~P86(x52741)+E(f327(f327(f102(x52741),f327(f79(x52741),x52742)),x52742),f242(x52741))
% 206.97/207.88 [5275]~P86(x52751)+E(f327(f327(f103(x52751),f327(f79(x52751),x52752)),x52752),f190(x52751))
% 206.97/207.88 [5308]~P93(x53081)+E(f327(f327(f81(x53081),f327(f105(x53081),a98)),x53082),f327(f79(x53081),x53082))
% 206.97/207.88 [5469]~P114(x54691)+E(f327(f327(f81(x54691),f327(f79(x54691),f78(x54691))),x54692),f327(f79(x54691),x54692))
% 206.97/207.88 [5514]E(f327(f75(a1),x55141),f78(a1))+~E(f327(f75(a1),f327(f327(f81(a1),x55141),x55142)),f78(a1))
% 206.97/207.88 [5606]~P93(x56061)+E(f327(f327(f80(x56061),f78(x56061)),f327(f105(x56061),x56062)),f327(f105(x56061),f327(f327(f23(a1),x56062),a98)))
% 206.97/207.88 [5660]~P108(x56601)+E(f14(x56601,f327(f327(f309(x56601),x56602),f190(f922(x56601,a910)))),x56602)
% 206.97/207.88 [5661]~P108(x56611)+E(f15(x56611,f327(f327(f309(x56611),x56612),f190(f922(x56611,a910)))),x56612)
% 206.97/207.88 [5662]~P96(x56621)+E(f13(x56621,f327(f327(f309(x56621),x56622),f190(f922(x56621,a910)))),x56622)
% 206.97/207.88 [5663]~P96(x56631)+E(f10(x56631,f327(f327(f309(x56631),x56632),f190(f922(x56631,a910)))),x56632)
% 206.97/207.88 [5664]~P3(x56641)+E(f39(x56641,f327(f327(f309(x56641),x56642),f190(f922(x56641,a910)))),x56642)
% 206.97/207.88 [5665]~P3(x56651)+E(f38(x56651,f327(f327(f309(x56651),x56652),f190(f922(x56651,a910)))),x56652)
% 206.97/207.88 [5687]E(f327(f327(f80(a915),x56871),f327(f327(f23(a915),x56872),x56871)),x56872)+P1(f327(f327(f235(a915),x56872),x56871))
% 206.97/207.88 [5725]E(x57251,f114(x57252))+P1(f327(f327(f235(a915),f2(a915)),f327(f191(f916(x57252)),x57251)))
% 206.97/207.88 [5851]~P108(x58511)+E(f11(x58511,f189(x58511),f327(f327(f309(x58511),x58512),f190(f922(x58511,a910)))),x58512)
% 206.97/207.88 [5852]~P108(x58521)+E(f12(x58521,f238(x58521),f327(f327(f309(x58521),x58522),f190(f922(x58521,a910)))),x58522)
% 206.97/207.88 [5913]E(f327(f327(f23(a915),x59131),f327(f327(f23(a915),x59131),x59132)),x59132)+~P1(f327(f327(f234(a915),x59132),x59131))
% 206.97/207.88 [5914]E(f327(f327(f80(a915),x59141),f327(f327(f23(a915),x59142),x59141)),x59142)+~P1(f327(f327(f234(a915),x59141),x59142))
% 206.97/207.88 [5936]E(f46(a915,f327(f327(f23(a915),x59361),x59362),x59362),f46(a915,x59361,x59362))+P1(f327(f327(f235(a915),x59361),x59362))
% 206.97/207.88 [5947]E(f327(f79(a1),f327(f327(f37(a1),x59471),f327(f79(a1),x59472))),f293(x59471,x59472))+P1(f327(f327(f234(a1),f2(a1)),x59472))
% 206.97/207.88 [5949]~E(x59492,f2(a915))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f244(a915),x59491),x59492)))
% 206.97/207.88 [6003]~P93(x60031)+E(f327(f327(f80(x60031),f327(f79(x60031),f78(x60031))),f327(f105(x60031),x60032)),f327(f105(x60031),f327(f327(f80(a1),x60032),a98)))
% 206.97/207.88 [6005]E(f327(f327(f244(a915),f327(f105(a915),x60051)),x60052),f327(f327(f244(a915),f2(a915)),x60052))+~P1(f327(a195,f327(f105(a1),x60051)))
% 206.97/207.88 [6112]E(f327(f142(a915),f140(a915,f327(f302(a915,x61121),x61122))),x61121)+~P1(f327(f327(f235(a915),x61121),x61122))
% 206.97/207.88 [6128]E(f327(f327(f81(a915),f327(f105(a915),x61281)),f327(f105(a915),x61282)),f327(f105(a915),f327(f327(f81(a1),x61281),x61282)))+P1(f327(f327(f235(a1),x61281),a83))
% 206.97/207.88 [6134]~P128(x61341)+P1(f327(f327(f234(x61341),f2(x61341)),f327(f327(f81(x61341),x61342),x61342)))
% 206.97/207.88 [6146]E(f327(f327(f23(a915),f327(a113,x61461)),x61462),f327(a113,f327(f327(f23(a915),x61461),x61462)))+~P1(f327(f327(f234(a915),x61462),x61461))
% 206.97/207.88 [6150]E(f46(a915,f327(f327(f23(a915),x61501),x61502),x61502),f46(a915,x61501,x61502))+~P1(f327(f327(f234(a915),x61502),x61501))
% 206.97/207.88 [6203]E(f327(f327(f244(a915),f327(a106,x62031)),x62032),f327(a106,f327(f327(f244(a1),x62031),x62032)))+~P1(f327(f327(f234(a1),f2(a1)),x62031))
% 206.97/207.88 [6221]P1(f327(f138(x62211),x62212))+P1(f327(f327(f235(a915),f661(x62212,x62211)),f327(f191(f916(x62211)),x62212)))
% 206.97/207.88 [6222]P1(f327(f138(x62221),x62222))+P1(f327(f327(f235(a915),f667(x62222,x62221)),f327(f191(f916(x62221)),x62222)))
% 206.97/207.88 [6239]~E(x62391,f114(x62392))+~P1(f327(f327(f235(a915),f2(a915)),f327(f191(f916(x62392)),x62391)))
% 206.97/207.88 [6250]E(f145(a915,f140(a915,f327(f302(a915,x62501),x62502))),f327(f327(f23(a915),x62502),f78(a915)))+~P1(f327(f327(f235(a915),x62501),x62502))
% 206.97/207.88 [6253]E(f327(f327(f80(a1),x62531),f327(f101(a1),f327(a113,f381(x62532,x62531)))),x62532)+~P1(f327(f327(f235(a1),x62531),x62532))
% 206.97/207.88 [6260]E(x62601,f2(a915))+E(f327(f327(f81(a915),x62602),f327(f327(f244(a915),x62602),f327(f327(f23(a915),x62601),f78(a915)))),f327(f327(f244(a915),x62602),x62601))
% 206.97/207.88 [6289]E(f327(f327(f81(a915),f327(a106,x62891)),f327(a106,x62892)),f327(a106,f327(f327(f81(a1),x62891),x62892)))+~P1(f327(f327(f234(a1),f2(a1)),x62891))
% 206.97/207.88 [6290]E(f327(f327(f37(a915),f327(a106,x62901)),f327(a106,x62902)),f327(a106,f327(f327(f37(a1),x62901),x62902)))+~P1(f327(f327(f234(a1),f2(a1)),x62901))
% 206.97/207.88 [6305]~P112(x63051)+E(f327(f327(f80(x63051),x63052),x63052),f327(f327(f81(x63051),f327(f327(f80(x63051),f78(x63051)),f78(x63051))),x63052))
% 206.97/207.88 [6327]E(f327(f327(f23(a1),f327(f101(a1),x63271)),f327(f101(a1),x63272)),f327(f101(a1),f327(f327(f23(a915),x63271),x63272)))+~P1(f327(f327(f234(a915),x63272),x63271))
% 206.97/207.88 [6329]E(f327(f327(f252(a1,a1),f327(f105(a1),a98)),f327(f327(f80(a1),x63291),x63292)),f51(x63291,x63292))+~P1(f327(f327(f234(a1),x63292),f2(a1)))
% 206.97/207.88 [6362]E(f180(x63621,x63622),f114(f916(x63621)))+P1(f327(f327(f329(f916(x63621)),f660(x63622,x63621)),f327(f173(f916(x63621)),x63622)))
% 206.97/207.88 [6372]E(f117(a1,f327(f130(a1),x63721),f129(x63722,f327(f327(f80(a1),x63721),f78(a1)))),f129(x63722,x63721))+P1(f327(f327(f235(a1),x63722),x63721))
% 206.97/207.88 [6447]E(f327(f327(f152(a1),x64471),f179(f327(f327(f80(a1),x64471),f78(a1)),x64472)),f179(x64471,x64472))+~P1(f327(f327(f234(a1),x64471),x64472))
% 206.97/207.88 [6488]~P1(f327(f327(f235(a915),x64882),x64881))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f23(a915),x64881),x64882)))
% 206.97/207.88 [6520]~P1(f327(f327(f235(a915),x65201),f327(a106,x65202)))+P1(f327(f327(f235(a1),f327(f101(a1),x65201)),x65202))
% 206.97/207.88 [6549]~P108(x65491)+E(f327(f327(f102(f922(x65491,a910)),f327(f282(x65491),x65492)),f327(f327(f309(x65491),x65492),f190(f922(x65491,a910)))),f327(f301(x65491),x65492))
% 206.97/207.88 [6550]~P1(f327(f327(f234(a1),f2(a1)),x65501))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f244(a1),x65501),x65502)))
% 206.97/207.88 [6553]~P1(f327(f327(f235(a915),f2(a915)),x65531))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f244(a915),x65531),x65532)))
% 206.97/207.88 [6580]~E(f327(x65801,f2(a915)),f2(a915))+E(f327(f327(f6(a915,a915),x65801),f303(a915,f327(a113,f2(a915)),x65802)),f327(f327(f6(a915,a915),x65801),f303(a915,f2(a915),x65802)))
% 206.97/207.88 [6643]~P93(x66431)+E(f327(f327(f81(x66431),f327(f327(f80(x66431),f78(x66431)),f78(x66431))),f327(f105(x66431),x66432)),f327(f105(x66431),f327(f327(f80(a1),x66432),x66432)))
% 206.97/207.88 [6660]E(f327(f327(f309(a1),x66601),f303(a1,f327(f327(f80(a1),x66601),f78(a1)),x66602)),f303(a1,x66601,x66602))+P1(f327(f327(f235(a1),x66602),x66601))
% 206.97/207.88 [6661]P1(f327(f327(f235(a915),x66611),f327(a106,x66612)))+~P1(f327(f327(f235(a1),f327(f101(a1),x66611)),x66612))
% 206.97/207.88 [6765]E(f327(a106,f327(f327(f37(a1),f327(f105(a1),x67651)),f327(f105(a1),x67652))),f327(f327(f37(a915),f327(f105(a915),x67651)),f327(f105(a915),x67652)))+P1(f327(a195,f327(f105(a1),x67651)))
% 206.97/207.88 [6823]P1(f327(f327(f235(a915),x68231),x68232))+~P1(f327(f327(f235(a915),f2(a915)),f327(f327(f23(a915),x68232),x68231)))
% 207.23/207.88 [6867]P1(f327(f327(f235(a915),f2(a915)),x68671))+~P1(f327(f327(f235(a915),f2(a915)),f327(f327(f81(a915),x68672),x68671)))
% 207.23/207.88 [6868]P1(f327(f327(f235(a915),f2(a915)),x68681))+~P1(f327(f327(f235(a915),f2(a915)),f327(f327(f81(a915),x68681),x68682)))
% 207.23/207.88 [6886]~P1(f327(f327(f234(a1),x68861),f2(a1)))+E(f327(f327(f81(a915),f327(a106,f327(f79(a1),x68861))),f327(a106,f327(f79(a1),x68862))),f327(a106,f327(f327(f81(a1),x68861),x68862)))
% 207.23/207.88 [6944]~E(x69442,f190(f922(x69441,a910)))+P1(f327(f327(f234(f922(x69441,a910)),x69442),f327(f79(f922(x69441,a910)),x69442)))
% 207.23/207.88 [7006]~P93(x70061)+E(f327(f327(f80(x70061),f327(f327(f80(x70061),f2(x70061)),f327(f105(x70061),x70062))),f327(f105(x70061),x70062)),f327(f105(x70061),f327(f327(f80(a1),x70062),x70062)))
% 207.23/207.88 [7062]~P1(f327(f327(f235(a1),x70621),x70622))+P1(f327(f327(f234(a1),f327(f327(f80(a1),x70621),f78(a1))),x70622))
% 207.23/207.88 [7129]E(x71291,f2(a915))+~P1(f327(f327(f234(a1),f327(f101(a1),x71292)),f327(f79(a1),f327(f101(a1),x71291))))
% 207.23/207.88 [7130]E(x71301,f2(a915))+~P1(f327(f327(f234(a1),f327(f101(a1),x71301)),f327(f79(a1),f327(f101(a1),x71302))))
% 207.23/207.88 [7234]E(f327(f327(f252(a1,a1),f327(f105(a1),a98)),f327(f327(f80(a1),x72341),x72342)),f51(x72341,x72342))+~P1(f327(f327(f234(a1),f2(a1)),f327(f327(f80(a1),x72341),x72342)))
% 207.23/207.88 [7278]~P25(x72781,x72782)+P35(x72781,f327(f251(f922(f921(x72781,x72781),a910),f922(f921(x72781,x72781),a910)),x72782))
% 207.23/207.88 [7297]~P1(f327(f327(f234(a915),f327(a113,f2(a915))),x72971))+P1(f327(f327(f234(a915),f327(a113,f2(a915))),f327(f327(f244(a915),x72971),x72972)))
% 207.23/207.88 [7477]~P1(f327(f327(f234(a1),x74771),x74772))+P1(f327(f327(f234(a1),f327(f327(f80(a1),x74771),x74771)),f327(f327(f80(a1),x74772),x74772)))
% 207.23/207.88 [7482]~P1(f327(f327(f235(a1),x74821),x74822))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x74821),x74821)),f327(f327(f80(a1),x74822),x74822)))
% 207.23/207.88 [7539]~P1(f327(f327(f235(a915),f2(a915)),x75391))+P1(f327(f327(f235(a915),f327(f327(f23(a915),x75391),f327(a113,x75392))),x75391))
% 207.23/207.88 [7571]P1(f327(f327(f234(a915),f327(a113,f2(a915))),x75711))+~P1(f327(f327(f234(a915),f327(a113,f2(a915))),f327(f327(f81(a915),x75712),x75711)))
% 207.23/207.88 [7572]P1(f327(f327(f234(a915),f327(a113,f2(a915))),x75721))+~P1(f327(f327(f234(a915),f327(a113,f2(a915))),f327(f327(f81(a915),x75721),x75722)))
% 207.23/207.88 [7576]P1(f327(f327(f234(a915),f327(f327(f165(a915),x75761),x75762)),f327(f166(a915),x75761)))+~P1(f327(f327(f235(a915),x75762),f327(f191(f916(a915)),x75761)))
% 207.23/207.88 [7614]P1(f327(f327(f235(a1),x76141),x76142))+~P1(f327(f327(f234(a1),f327(f327(f80(a1),x76141),f78(a1))),x76142))
% 207.23/207.88 [7656]P1(f327(f35(x76561),f242(f922(x76561,a910))))+~P1(f327(f35(f922(x76562,x76561)),f242(f922(f922(x76562,x76561),a910))))
% 207.23/207.88 [7657]P1(f327(f35(x76571),f242(f922(x76571,a910))))+~P1(f327(f35(f920(x76572,x76571)),f242(f922(f920(x76572,x76571),a910))))
% 207.23/207.88 [7658]P1(f327(f35(x76581),f242(f922(x76581,a910))))+~P1(f327(f35(f920(x76581,x76582)),f242(f922(f920(x76581,x76582),a910))))
% 207.23/207.88 [7696]E(x76961,f190(f922(x76962,a910)))+~P1(f327(f327(f234(f922(x76962,a910)),x76961),f327(f79(f922(x76962,a910)),x76961)))
% 207.23/207.88 [7836]E(f327(f143(f916(x78361),f916(x78361),f135(x78361),f114(x78361)),x78362),f114(x78361))+P1(f327(f327(f329(f916(x78361)),f692(x78362,x78361)),f327(f173(f916(x78361)),x78362)))
% 207.23/207.88 [7837]E(f327(f143(f916(x78371),f916(x78371),f135(x78371),f114(x78371)),x78372),f114(x78371))+P1(f327(f327(f329(f916(x78371)),f693(x78372,x78371)),f327(f173(f916(x78371)),x78372)))
% 207.23/207.88 [8071]P1(f327(f327(f234(a1),x80711),x80712))+~P1(f327(f327(f234(a1),f327(f327(f80(a1),x80711),x80711)),f327(f327(f80(a1),x80712),x80712)))
% 207.23/207.88 [8076]P1(f327(f327(f235(a1),x80761),x80762))+~P1(f327(f327(f235(a1),f327(f327(f80(a1),x80761),x80761)),f327(f327(f80(a1),x80762),x80762)))
% 207.23/207.88 [8169]~P112(x81691)+E(f327(f327(f81(x81691),f327(f327(f80(x81691),f78(x81691)),f78(x81691))),f327(f327(f6(a915,x81691),f101(x81691)),f303(a915,f78(a915),x81692))),f327(f327(f81(x81691),f327(f101(x81691),x81692)),f327(f327(f80(x81691),f327(f101(x81691),x81692)),f78(x81691))))
% 207.23/207.88 [8218]P1(f327(f327(f329(a915),x82181),x82182))+~P1(f327(f327(f329(a1),f327(f101(a1),x82181)),f327(f310(a915,a1,f101(a1)),x82182)))
% 207.23/207.88 [8377]~P1(f327(f35(x83771),x83772))+E(f327(f310(a915,x83771,f490(x83772,x83771)),f327(f262(a915),f327(f327(f7(a915,a915,a910),f235(a915)),f491(x83772,x83771)))),x83772)
% 207.23/207.88 [8655]P51(x86551,x86552)+P1(f327(f327(f329(f921(x86551,x86551)),f327(f327(f252(x86551,x86551),f514(x86552,x86551)),f514(x86552,x86551))),x86552))
% 207.23/207.88 [8656]P36(x86561,x86562)+P1(f327(f327(f329(f921(x86561,x86561)),f327(f327(f252(x86561,x86561),f784(x86562,x86561)),f787(x86562,x86561))),x86562))
% 207.23/207.88 [8657]P36(x86571,x86572)+P1(f327(f327(f329(f921(x86571,x86571)),f327(f327(f252(x86571,x86571),f787(x86572,x86571)),f788(x86572,x86571))),x86572))
% 207.23/207.88 [8658]P37(x86581,x86582)+P1(f327(f327(f329(f921(x86581,x86581)),f327(f327(f252(x86581,x86581),f702(x86582,x86581)),f701(x86582,x86581))),x86582))
% 207.23/207.88 [8659]P37(x86591,x86592)+P1(f327(f327(f329(f921(x86591,x86591)),f327(f327(f252(x86591,x86591),f701(x86592,x86591)),f702(x86592,x86591))),x86592))
% 207.23/207.88 [8660]P49(x86601,x86602)+P1(f327(f327(f329(f921(x86601,x86601)),f327(f327(f252(x86601,x86601),f798(x86602,x86601)),f800(x86602,x86601))),x86602))
% 207.23/207.88 [8801]~P93(x88011)+E(f327(f327(f23(x88011),f78(x88011)),f327(f105(x88011),x88012)),f327(f105(x88011),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f79(a1),x88012))))
% 207.23/207.88 [8926]~P1(f327(f327(f235(f922(a915,a910)),x89261),x89262))+P1(f327(f327(f235(f922(a1,a910)),f327(f310(a915,a1,f101(a1)),x89261)),f327(f310(a915,a1,f101(a1)),x89262)))
% 207.23/207.88 [8960]~P1(f327(f327(f235(a1),x89601),x89602))+P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),x89601),x89601)),a98)),f327(f327(f80(a1),x89602),x89602)))
% 207.23/207.88 [8962]~P1(f327(f327(f235(a1),x89621),x89622))+P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x89621),x89621)),a98)),f327(f327(f80(a1),x89622),x89622)))
% 207.23/207.88 [9035]~P1(f327(f327(f329(a915),x90351),f327(f173(a915),x90352)))+P1(f327(f327(f234(a915),x90351),f327(f143(a915,a915,f80(a915),f2(a915)),x90352)))
% 207.23/207.88 [9128]P44(x91281,x91282)+~P1(f327(f327(f329(f921(x91281,x91281)),f327(f327(f252(x91281,x91281),f516(x91282,x91281)),f516(x91282,x91281))),x91282))
% 207.23/207.88 [9129]P36(x91291,x91292)+~P1(f327(f327(f329(f921(x91291,x91291)),f327(f327(f252(x91291,x91291),f784(x91292,x91291)),f788(x91292,x91291))),x91292))
% 207.23/207.88 [9130]P49(x91301,x91302)+~P1(f327(f327(f329(f921(x91301,x91301)),f327(f327(f252(x91301,x91301),f800(x91302,x91301)),f798(x91302,x91301))),x91302))
% 207.23/207.88 [9269]~P1(f327(f327(f234(f922(a1,a910)),f327(f310(a915,a1,f101(a1)),x92691)),f327(f310(a915,a1,f101(a1)),x92692)))+P1(f327(f327(f234(f922(a915,a910)),x92691),x92692))
% 207.23/207.88 [9270]~P1(f327(f327(f235(f922(a1,a910)),f327(f310(a915,a1,f101(a1)),x92701)),f327(f310(a915,a1,f101(a1)),x92702)))+P1(f327(f327(f235(f922(a915,a910)),x92701),x92702))
% 207.23/207.88 [9354]P1(f327(f327(f235(a1),x93541),x93542))+~P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),x93541),x93541)),a98)),f327(f327(f80(a1),x93542),x93542)))
% 207.23/207.88 [9356]P1(f327(f327(f235(a1),x93561),x93562))+~P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x93561),x93561)),a98)),f327(f327(f80(a1),x93562),x93562)))
% 207.23/207.88 [10246]~P104(x102461)+E(f117(f916(x102461),f327(f130(f916(x102461)),f114(x102461)),f327(f327(f327(f97(f917(f916(x102461))),f327(f327(f235(a1),f2(a1)),x102462)),f327(f119(f921(x102461,f916(x102461)),f916(x102461),f132(x102461,f916(x102461),f133(x102461,f327(f327(f23(a1),x102462),f78(a1))),f133(f916(x102461),f327(f327(f23(a1),x102462),f78(a1))))),f327(f257(x102461,f916(x102461),f917(f916(x102461))),f327(f327(f8(f922(f916(x102461),f916(x102461)),f922(f916(x102461),f917(f916(x102461))),x102461),f327(f8(f916(x102461),f917(f916(x102461)),f916(x102461)),f130(f916(x102461)))),f152(x102461))))),f116(f916(x102461)))),f133(f916(x102461),x102462))
% 207.23/207.88 [10268]~P1(f327(f35(x102681),x102682))+E(f327(f191(f916(x102681)),f90(f916(x102681),f327(f327(f18(f916(x102681),a910,a910),f327(f327(f8(a910,f922(a910,a910),f916(x102681)),a325),f327(f327(f7(f916(x102681),f922(x102681,a910),a910),f327(f327(f8(f922(x102681,a910),f922(f922(x102681,a910),a910),f916(x102681)),a324),f173(x102681))),x102682))),f138(x102681)))),f216(x102681,x102682))
% 207.23/207.88 [6249]E(f327(f327(f80(a915),f327(f327(f23(a915),x62491),x62492)),x62492),x62491)+~P1(f327(f327(f234(a915),x62492),x62491))
% 207.23/207.88 [6323]E(f327(f327(f37(a915),f327(f327(f81(a915),x63231),x63232)),x63232),x63231)+~P1(f327(f327(f235(a915),f2(a915)),x63232))
% 207.23/207.88 [6324]E(f327(f327(f37(a915),f327(f327(f81(a915),x63241),x63242)),x63241),x63242)+~P1(f327(f327(f235(a915),f2(a915)),x63241))
% 207.23/207.88 [6328]~P68(x63281)+E(f327(f327(f6(a915,x63281),f327(f165(x63281),x63282)),f327(f302(a915,f2(a915)),f327(f191(f916(x63281)),x63282))),f327(f166(x63281),x63282))
% 207.23/207.88 [6439]E(f46(a915,f327(a113,f327(f327(f81(a915),x64391),x64392)),x64391),f78(a915))+~P1(f327(f327(f235(a915),f78(a915)),x64391))
% 207.23/207.88 [6445]E(f327(a113,f327(f327(f80(a915),f327(f105(a915),x64451)),x64452)),f327(f327(f80(a915),f78(a915)),x64452))+~P1(f327(a195,f327(f105(a1),x64451)))
% 207.23/207.88 [6474]E(f327(a106,f327(f327(f244(a1),f327(f105(a1),x64741)),x64742)),f327(f327(f244(a915),f327(f105(a915),x64741)),x64742))+P1(f327(a195,f327(f105(a1),x64741)))
% 207.23/207.88 [6715]E(f327(f327(f23(a915),x67151),f327(f105(a915),f327(f327(f80(a1),x67152),a98))),f327(f327(f23(a915),f327(a113,x67151)),f327(f105(a915),x67152)))+~P1(f327(f327(f235(a1),a83),x67152))
% 207.23/207.88 [6795]E(x67951,f2(a915))+E(f327(a113,f327(f327(f80(a915),f327(f327(f23(a915),x67951),f78(a915))),x67952)),f327(f327(f80(a915),x67951),x67952))
% 207.23/207.88 [6836]E(x68361,f2(a1))+P1(f327(f327(f235(a1),f2(a1)),f327(f327(f244(a1),f327(f75(a1),x68361)),x68362)))
% 207.23/207.88 [6851]~E(x68512,f2(a915))+P1(f327(f327(f235(a1),f2(a1)),f327(f327(f244(a1),f327(f75(a1),x68511)),x68512)))
% 207.23/207.88 [6889]E(x68891,f2(a915))+E(f327(f327(f80(a915),x68892),f327(f327(f81(a915),f327(f327(f23(a915),x68891),f78(a915))),x68892)),f327(f327(f81(a915),x68891),x68892))
% 207.23/207.88 [6937]~P1(f327(f327(f234(a1),x69371),x69372))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x69371),a98)),x69372))
% 207.23/207.88 [7066]E(f327(f327(f152(a915),x70661),f140(a915,f327(f302(a915,f327(a113,x70661)),x70662))),f140(a915,f327(f302(a915,x70661),x70662)))+~P1(f327(f327(f235(a915),x70661),x70662))
% 207.23/207.88 [7269]E(x72691,x72692)+~E(f327(f327(f23(a1),f327(f327(f80(a1),x72691),x72691)),a98),f327(f327(f23(a1),f327(f327(f80(a1),x72692),x72692)),a98))
% 207.23/207.88 [7272]E(x72721,f114(x72722))+E(f266(x72722,f327(f327(f155(x72722,f921(a100,x72722)),f327(f252(a100,x72722),f78(a100))),x72721)),f275(x72722,x72721))
% 207.23/207.88 [7510]P1(f327(f327(f234(a1),x75101),x75102))+~P1(f327(f327(f235(a1),f327(f327(f80(a1),x75101),a98)),x75102))
% 207.23/207.88 [7976]~P1(f327(f327(f235(a915),x79761),x79762))+P1(f327(f327(f329(f921(a915,a915)),f327(f327(f252(a915,a915),x79761),x79762)),a240))
% 207.23/207.88 [8195]~P1(f327(f327(f235(a100),f2(a100)),x81951))+P1(f327(f327(f235(a100),f327(f251(a100,f921(a100,a100)),f327(f267(x81951),x81952))),x81951))
% 207.23/207.88 [8458]~P36(x84581,x84582)+P36(x84581,f327(f327(f102(f922(f921(x84581,x84581),a910)),x84582),f307(x84581,f190(f922(f921(x84581,x84581),a910)))))
% 207.23/207.88 [8459]~P37(x84591,x84592)+P37(x84591,f327(f327(f102(f922(f921(x84591,x84591),a910)),x84592),f307(x84591,f190(f922(f921(x84591,x84591),a910)))))
% 207.23/207.88 [8507]~P84(x85071)+P1(f327(f327(f234(x85071),f327(f75(x85071),f327(f166(x85071),x85072))),f327(f166(x85071),f327(f327(f155(x85071,x85071),f75(x85071)),x85072))))
% 207.23/207.88 [8532]P1(f327(f327(f235(a915),x85321),x85322))+~P1(f327(f327(f329(f921(a915,a915)),f327(f327(f252(a915,a915),x85321),x85322)),a240))
% 207.23/207.88 [8679]E(f327(f327(f252(x86791,x86791),f610(x86792,x86791)),f610(x86792,x86791)),x86792)+~P1(f327(f327(f329(f921(x86791,x86791)),x86792),f307(x86791,f190(f922(f921(x86791,x86791),a910)))))
% 207.23/207.88 [8723]E(f327(f302(a915,x87231),f327(f327(f80(a915),x87231),f327(f36(a915),x87232))),x87232)+~P1(f327(f327(f234(f922(a915,a910)),x87232),f327(f302(a915,x87231),f327(f327(f80(a915),x87231),f327(f36(a915),x87232)))))
% 207.23/207.88 [8953]P37(x89531,x89532)+~P37(x89531,f327(f327(f102(f922(f921(x89531,x89531),a910)),x89532),f307(x89531,f190(f922(f921(x89531,x89531),a910)))))
% 207.23/207.88 [9079]E(f327(f327(f37(a1),f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),x90791),x90791)),a98))),f327(f105(a1),f327(f327(f80(a1),x90792),x90792))),f327(f327(f37(a1),f327(f105(a1),x90791)),f327(f105(a1),x90792)))+~P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x90792)))
% 207.23/207.88 [9173]~P36(x91731,x91732)+P1(f327(f327(f234(f922(f921(x91731,x91731),a910)),f327(f327(f289(x91731,x91731,x91731),x91732),x91732)),x91732))
% 207.23/207.88 [9199]E(f178(f916(x91991),f327(f327(f8(a910,a910,f916(x91991)),a322),f327(f327(f7(f916(x91991),f916(x91991),a910),a324),f114(x91991))),x91992),f180(x91991,f180(x91991,x91992)))+~P11(a915,f327(f169(a915),f327(f327(f155(f916(x91991),a915),f191(f916(x91991))),x91992)))
% 207.23/207.88 [9202]E(f327(f327(f37(a1),f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),x92021),x92021)),a98))),f327(f105(a1),f327(f327(f80(a1),x92022),x92022))),f327(f327(f37(a1),f327(f327(f80(a1),f327(f105(a1),x92021)),f78(a1))),f327(f105(a1),x92022)))+P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x92022)))
% 207.23/207.88 [10040]P1(f327(a195,x100402))+E(f327(f327(f86(a1,a915),f327(f327(f23(a1),x100401),x100402)),f327(f327(f18(a1,a915,a915),f327(f327(f7(a1,a915,f922(a915,a915)),f327(f327(f8(a910,f922(a915,f922(a915,a915)),a1),f97(a915)),a195)),f2(a915))),a106)),f327(f327(f23(a915),f327(a106,x100401)),f327(a106,x100402)))
% 207.23/207.88 [10048]E(f327(f327(f86(a1,a915),f327(f105(a1),f327(f327(f80(a1),x100481),f327(f79(a1),x100482)))),f327(f327(f18(a1,a915,a915),f327(f327(f7(a1,a915,f922(a915,a915)),f327(f327(f8(a910,f922(a915,f922(a915,a915)),a1),f97(a915)),a195)),f2(a915))),a106)),f327(f327(f23(a915),f327(f105(a915),x100481)),f327(f105(a915),x100482)))+P1(f327(f327(f235(a1),x100482),a83))
% 207.23/207.88 [10049]~P25(x100491,x100492)+P1(f327(f327(f234(f922(f921(x100491,x100491),a910)),f327(f327(f289(x100491,x100491,x100491),f327(f251(f922(f921(x100491,x100491),a910),f922(f921(x100491,x100491),a910)),x100492)),f327(f256(f922(f921(x100491,x100491),a910),f922(f921(x100491,x100491),a910)),x100492))),f327(f251(f922(f921(x100491,x100491),a910),f922(f921(x100491,x100491),a910)),x100492)))
% 207.23/207.88 [10105]~E(f327(f36(a915),f327(f262(a915),f327(f327(f18(a915,a910,a910),f327(f327(f8(a910,f922(a910,a910),a915),a325),f327(f327(f7(a915,f922(a915,a910),a910),f329(a915)),x101051))),f327(f327(f7(a915,a915,a910),f235(a915)),f327(a113,x101052))))),f2(a915))+~P1(f327(f327(f329(a915),f2(a915)),x101051))
% 207.23/207.88 [10116]E(f299(a915,f327(f327(f18(a915,f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),a915),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),a915),f327(f8(a910,f922(a910,a910),a915),a325)),f287(a915)))),f327(f327(f8(f922(a915,a910),f922(a915,a910),a915),f327(f8(a910,a910,a915),a322)),f327(f7(a915,a915,a910),f287(a915)))),x101161,x101162),f190(f922(a915,a910)))+~P1(f327(f327(f287(a915),x101162),x101161))
% 207.23/207.88 [10121]E(f297(a915,f287(a915),f327(f327(f18(a915,f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),a915),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),a915),f327(f8(a910,f922(a910,a910),a915),a325)),f287(a915)))),f327(f327(f8(f922(a915,a910),f922(a915,a910),a915),f327(f8(a910,a910,a915),a322)),f327(f7(a915,a915,a910),f287(a915)))),x101211,x101212),f190(f922(a915,a910)))+P1(f327(f327(f287(a915),x101211),x101212))
% 207.23/207.88 [10122]E(f300(a915,f287(a915),f327(f327(f18(a915,f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),a915),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),a915),f327(f8(a910,f922(a910,a910),a915),a325)),f287(a915)))),f327(f327(f8(f922(a915,a910),f922(a915,a910),a915),f327(f8(a910,a910,a915),a322)),f327(f7(a915,a915,a910),f287(a915)))),x101221,x101222),f190(f922(a915,a910)))+P1(f327(f327(f287(a915),x101221),x101222))
% 207.23/207.88 [10126]E(f297(a915,f287(a915),f327(f327(f18(a915,f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),a915),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),a915),f327(f8(a910,f922(a910,a910),a915),a325)),f287(a915)))),f327(f327(f8(f922(a915,a910),f922(a915,a910),a915),f327(f8(a910,a910,a915),a322)),f327(f7(a915,a915,a910),f287(a915)))),x101261,x101262),f190(f922(a915,a910)))+~P1(f327(f327(f287(a915),x101262),x101261))
% 207.23/207.88 [10128]E(f300(a915,f287(a915),f327(f327(f18(a915,f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),a915),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),a915),f327(f8(a910,f922(a910,a910),a915),a325)),f287(a915)))),f327(f327(f8(f922(a915,a910),f922(a915,a910),a915),f327(f8(a910,a910,a915),a322)),f327(f7(a915,a915,a910),f287(a915)))),x101281,x101282),f190(f922(a915,a910)))+~P1(f327(f327(f287(a915),x101282),x101281))
% 207.23/207.88 [10171]E(f46(a1,f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),x101711),x101711)),a98)),f327(f105(a1),f327(f327(f80(a1),x101712),x101712))),f327(f327(f80(a1),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f46(a1,f327(f105(a1),x101711),f327(f105(a1),x101712)))),f78(a1)))+~P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x101712)))
% 207.23/207.88 [10180]E(f46(a1,f327(f105(a1),f327(f327(f23(a1),f327(f327(f80(a1),x101801),x101801)),a98)),f327(f105(a1),f327(f327(f80(a1),x101802),x101802))),f327(f327(f23(a1),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f46(a1,f327(f327(f80(a1),f327(f105(a1),x101801)),f78(a1)),f327(f105(a1),x101802)))),f78(a1)))+P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x101802)))
% 207.23/207.88 [10235]~P3(x102351)+E(f38(x102351,f327(f262(x102351),f327(f327(f8(f922(x102351,a910),a910,x102351),f88(x102351)),f327(f327(f8(f922(x102351,a910),f922(x102351,a910),x102351),f327(f18(x102351,a910,a910),f327(f327(f8(a910,f922(a910,a910),x102351),a330),f327(f327(f7(x102351,f922(x102351,a910),a910),f329(x102351)),x102352)))),f234(x102351))))),f39(x102351,x102352))
% 207.23/207.88 [10261]~P35(x102611,x102612)+P57(x102611,f327(f327(f7(x102611,f922(f921(x102611,x102611),a910),f922(x102611,a910)),f327(f327(f8(f922(x102611,f922(f922(f921(x102611,x102611),a910),a910)),f922(f922(f921(x102611,x102611),a910),f922(x102611,a910)),x102611),f7(x102611,f922(f921(x102611,x102611),a910),a910)),f327(f327(f8(f922(x102611,f921(x102611,x102611)),f922(x102611,f922(f922(f921(x102611,x102611),a910),a910)),x102611),f327(f8(f921(x102611,x102611),f922(f922(f921(x102611,x102611),a910),a910),x102611),f329(f921(x102611,x102611)))),f252(x102611,x102611)))),x102612))
% 207.23/207.88 [10262]~P6(x102621,f242(f922(x102621,a910)),x102622)+P5(x102621,f327(f327(f7(x102621,f922(f921(x102621,x102621),a910),f922(x102621,a910)),f327(f327(f8(f922(x102621,f922(f922(f921(x102621,x102621),a910),a910)),f922(f922(f921(x102621,x102621),a910),f922(x102621,a910)),x102621),f7(x102621,f922(f921(x102621,x102621),a910),a910)),f327(f327(f8(f922(x102621,f921(x102621,x102621)),f922(x102621,f922(f922(f921(x102621,x102621),a910),a910)),x102621),f327(f8(f921(x102621,x102621),f922(f922(f921(x102621,x102621),a910),a910),x102621),f329(f921(x102621,x102621)))),f252(x102621,x102621)))),x102622))
% 207.23/207.88 [10306]P35(x103061,x103062)+~P57(x103061,f327(f327(f7(x103061,f922(f921(x103061,x103061),a910),f922(x103061,a910)),f327(f327(f8(f922(x103061,f922(f922(f921(x103061,x103061),a910),a910)),f922(f922(f921(x103061,x103061),a910),f922(x103061,a910)),x103061),f7(x103061,f922(f921(x103061,x103061),a910),a910)),f327(f327(f8(f922(x103061,f921(x103061,x103061)),f922(x103061,f922(f922(f921(x103061,x103061),a910),a910)),x103061),f327(f8(f921(x103061,x103061),f922(f922(f921(x103061,x103061),a910),a910),x103061),f329(f921(x103061,x103061)))),f252(x103061,x103061)))),x103062))
% 207.23/207.88 [10307]P6(x103071,f242(f922(x103071,a910)),x103072)+~P5(x103071,f327(f327(f7(x103071,f922(f921(x103071,x103071),a910),f922(x103071,a910)),f327(f327(f8(f922(x103071,f922(f922(f921(x103071,x103071),a910),a910)),f922(f922(f921(x103071,x103071),a910),f922(x103071,a910)),x103071),f7(x103071,f922(f921(x103071,x103071),a910),a910)),f327(f327(f8(f922(x103071,f921(x103071,x103071)),f922(x103071,f922(f922(f921(x103071,x103071),a910),a910)),x103071),f327(f8(f921(x103071,x103071),f922(f922(f921(x103071,x103071),a910),a910),x103071),f329(f921(x103071,x103071)))),f252(x103071,x103071)))),x103072))
% 207.23/207.88 [7457]E(f327(f327(f80(a915),f327(f105(a915),f327(f327(f23(a1),x74571),a98))),x74572),f327(a113,f327(f327(f80(a915),f327(f105(a915),x74571)),x74572)))+P1(f327(a195,f327(f105(a1),x74571)))
% 207.23/207.88 [7894]~P93(x78941)+E(f327(f327(f80(x78941),f327(f327(f80(x78941),f78(x78941)),f327(f105(x78941),x78942))),f327(f105(x78941),x78942)),f327(f105(x78941),f327(f327(f23(a1),f327(f327(f80(a1),x78942),x78942)),a98)))
% 207.23/207.88 [8534]~P1(f327(f327(f234(a1),x85341),x85342))+P1(f327(f327(f234(a1),f327(f327(f80(a1),x85341),x85341)),f327(f327(f23(a1),f327(f327(f80(a1),x85342),x85342)),a98)))
% 207.23/207.88 [8536]~P1(f327(f327(f234(a1),x85361),x85362))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x85361),x85361)),f327(f327(f23(a1),f327(f327(f80(a1),x85362),x85362)),a98)))
% 207.23/207.88 [8964]P1(f327(f327(f234(a1),x89641),x89642))+~P1(f327(f327(f234(a1),f327(f327(f80(a1),x89641),x89641)),f327(f327(f23(a1),f327(f327(f80(a1),x89642),x89642)),a98)))
% 207.23/207.88 [8966]P1(f327(f327(f234(a1),x89661),x89662))+~P1(f327(f327(f235(a1),f327(f327(f80(a1),x89661),x89661)),f327(f327(f23(a1),f327(f327(f80(a1),x89662),x89662)),a98)))
% 207.23/207.88 [9258]~P1(f327(f327(f234(a1),x92581),x92582))+P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),x92581),x92581)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),x92582),x92582)),a98)))
% 207.23/207.88 [9260]~P1(f327(f327(f235(a1),x92601),x92602))+P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x92601),x92601)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),x92602),x92602)),a98)))
% 207.23/207.88 [9526]P1(f327(f327(f234(a1),x95261),x95262))+~P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),x95261),x95261)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),x95262),x95262)),a98)))
% 207.23/207.88 [9528]P1(f327(f327(f235(a1),x95281),x95282))+~P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),x95281),x95281)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),x95282),x95282)),a98)))
% 207.23/207.88 [9561]~P1(f327(f35(x95611),x95612))+P1(f327(f35(f922(x95611,a910)),f327(f262(f922(x95611,a910)),f327(f327(f7(f922(x95611,a910),f922(x95611,a910),a910),f234(f922(x95611,a910))),x95612))))
% 207.23/207.88 [9612]~E(f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),x96121),f190(f922(f921(a915,a915),a910)))),f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),x96122),f190(f922(f921(a915,a915),a910)))))+P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),x96121),x96122)),a110))
% 207.23/207.88 [9699]E(f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),x96991),f190(f922(f921(a915,a915),a910)))),f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),x96992),f190(f922(f921(a915,a915),a910)))))+~P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),x96991),x96992)),a110))
% 207.23/207.88 [9736]P1(f327(f327(f234(a1),f2(a1)),f634(x97361,x97362)))+E(f327(f262(a1),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),x97361)),f327(f262(a1),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),x97362)))
% 207.23/207.88 [10245]~P3(x102451)+E(f39(x102451,f327(f262(x102451),f327(f327(f8(f922(x102451,a910),a910,x102451),f88(x102451)),f327(f327(f8(f922(x102451,a910),f922(x102451,a910),x102451),f327(f18(x102451,a910,a910),f327(f327(f8(a910,f922(a910,a910),x102451),a330),f327(f327(f7(x102451,f922(x102451,a910),a910),f329(x102451)),x102452)))),f327(f7(x102451,x102451,a910),f234(x102451)))))),f38(x102451,x102452))
% 207.23/207.88 [10267]P1(f327(f327(f329(a915),f2(a915)),x102671))+E(f327(f36(a915),f327(f262(a915),f327(f327(f18(a915,a910,a910),f327(f327(f8(a910,f922(a910,a910),a915),a325),f327(f327(f7(a915,f922(a915,a910),a910),f327(f327(f8(a915,f922(f922(a915,a910),a910),a915),f329(a915)),a113)),x102671))),f327(f327(f7(a915,a915,a910),f235(a915)),x102672)))),f327(f36(a915),f327(f262(a915),f327(f327(f18(a915,a910,a910),f327(f327(f8(a910,f922(a910,a910),a915),a325),f327(f327(f7(a915,f922(a915,a910),a910),f329(a915)),x102671))),f327(f327(f7(a915,a915,a910),f235(a915)),f327(a113,x102672))))))
% 207.23/207.88 [7762]~P93(x77621)+E(f327(f327(f81(x77621),x77622),f327(f105(x77621),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),x77622)
% 207.23/207.88 [8023]~P93(x80231)+E(f327(f327(f80(x80231),f327(f105(x80231),x80232)),f78(x80231)),f327(f105(x80231),f327(f327(f80(a1),x80232),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))
% 207.23/207.88 [8167]P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x81672)))+E(f327(f327(f244(a1),x81671),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),x81672),x81672)),a98))),f78(a1))
% 207.23/207.88 [9588]~P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x95882)))+E(f327(f327(f244(a1),x95881),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),x95882),x95882)),a98))),f327(f327(f86(a1,a1),f327(f327(f244(a1),x95881),f327(f105(a915),x95882))),f327(f327(f18(a1,a1,a1),f327(f327(f8(a1,f922(a1,a1),a1),f81(a1)),f327(f81(a1),x95881))),f5(a1))))
% 207.23/207.88 [9958]~P1(f327(f327(f234(a915),f646(x99582,x99581)),f327(x99581,f646(x99582,x99581))))+P1(f327(f35(a915),f327(f262(a915),f327(f327(f7(a915,a915,a910),f327(f327(f8(a915,f922(a915,a910),a915),f234(a915)),x99581)),x99582))))
% 207.23/207.88 [10095]~P1(f327(f327(f234(a915),f327(f105(a915),x100951)),f327(a113,x100952)))+P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x100951),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f7(a1,a915,a910),f327(f327(f8(a915,f922(a915,a910),a1),f234(a915)),a106)),x100952))))
% 207.23/207.88 [10096]~P1(f327(f327(f235(a915),f327(f105(a915),x100961)),f327(a113,x100962)))+P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x100961),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f7(a1,a915,a910),f327(f327(f8(a915,f922(a915,a910),a1),f235(a915)),a106)),x100962))))
% 207.23/207.88 [10155]P1(f327(f327(f234(a915),f327(f105(a915),x101551)),f327(a113,x101552)))+~P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x101551),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f7(a1,a915,a910),f327(f327(f8(a915,f922(a915,a910),a1),f234(a915)),a106)),x101552))))
% 207.23/207.88 [10156]P1(f327(f327(f235(a915),f327(f105(a915),x101561)),f327(a113,x101562)))+~P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x101561),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f7(a1,a915,a910),f327(f327(f8(a915,f922(a915,a910),a1),f235(a915)),a106)),x101562))))
% 207.23/207.88 [10186]~P1(f327(f327(f234(a915),f327(a113,x101862)),f327(f105(a915),x101861)))+P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x101861),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f8(a915,a910,a1),f327(f234(a915),x101862)),a106)))))
% 207.23/207.88 [10187]~P1(f327(f327(f235(a915),f327(a113,x101872)),f327(f105(a915),x101871)))+P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x101871),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f8(a915,a910,a1),f327(f235(a915),x101872)),a106)))))
% 207.23/207.88 [10233]P1(f327(f327(f234(a915),f327(a113,x102331)),f327(f105(a915),x102332)))+~P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x102332),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f8(a915,a910,a1),f327(f234(a915),x102331)),a106)))))
% 207.23/207.88 [10234]P1(f327(f327(f235(a915),f327(a113,x102341)),f327(f105(a915),x102342)))+~P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x102342),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f8(a915,a910,a1),f327(f235(a915),x102341)),a106)))))
% 207.23/207.88 [10316]~P1(f327(f327(f329(a915),f2(a915)),x103161))+E(f327(a113,f327(f36(a915),f327(f262(a915),f327(f327(f18(a915,a910,a910),f327(f327(f8(a910,f922(a910,a910),a915),a325),f327(f327(f7(a915,f922(a915,a910),a910),f327(f327(f8(a915,f922(f922(a915,a910),a910),a915),f329(a915)),a113)),x103161))),f327(f327(f7(a915,a915,a910),f235(a915)),x103162))))),f327(f36(a915),f327(f262(a915),f327(f327(f18(a915,a910,a910),f327(f327(f8(a910,f922(a910,a910),a915),a325),f327(f327(f7(a915,f922(a915,a910),a910),f329(a915)),x103161))),f327(f327(f7(a915,a915,a910),f235(a915)),f327(a113,x103162))))))
% 207.23/207.88 [8706]~P93(x87061)+E(f327(f327(f81(x87061),f327(f105(x87061),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),x87062),x87062)
% 207.23/207.88 [8767]~P93(x87671)+E(f327(f327(f80(x87671),f78(x87671)),f327(f105(x87671),x87672)),f327(f105(x87671),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),x87672)))
% 207.23/207.88 [8829]~P93(x88291)+E(f327(f327(f23(x88291),f327(f105(x88291),x88292)),f78(x88291)),f327(f105(x88291),f327(f327(f80(a1),x88292),f327(f79(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.88 [8983]~P1(f327(f327(f235(a915),f327(f105(a915),a83)),x89832))+E(f327(f327(f23(a915),x89831),f327(f327(f23(a915),x89832),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f327(f23(a915),f327(a113,x89831)),x89832))
% 207.23/207.88 [9630]~P112(x96301)+E(f327(f327(f81(x96301),x96302),x96302),f327(f327(f244(x96301),x96302),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.88 [9631]~P80(x96311)+E(f327(f327(f244(x96311),x96312),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f327(f81(x96311),x96312),x96312))
% 207.23/207.88 [9633]~P93(x96331)+E(f327(f327(f81(x96331),x96332),f327(f105(x96331),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f327(f80(x96331),x96332),x96332))
% 207.23/207.88 [9875]~P142(x98751)+E(f327(f327(f244(x98751),f327(f79(x98751),x98752)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f327(f244(x98751),x98752),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.88 [9876]~P119(x98761)+E(f327(f327(f244(x98761),f327(f75(x98761),x98762)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f327(f244(x98761),x98762),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.88 [9872]~P93(x98721)+E(f327(f327(f81(x98721),f327(f105(x98721),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x98722),f327(f327(f80(x98721),x98722),x98722))
% 207.23/207.88 [9991]~P119(x99911)+E(f327(f75(x99911),f327(f327(f244(x99911),x99912),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x99911),x99912),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.88 [10056]~P119(x100561)+P1(f327(f327(f234(x100561),f2(x100561)),f327(f327(f244(x100561),x100562),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 207.23/207.88 [10224]~E(f327(a113,x102242),f327(f105(a915),x102241))+P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x102241),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f7(a1,a915,a910),f327(f327(f8(a915,f922(a915,a910),a1),a324),a106)),x102242)))))
% 207.23/207.88 [10225]~E(f327(f105(a915),x102251),f327(a113,x102252))+P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x102251),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f7(a1,a915,a910),f327(f327(f8(a915,f922(a915,a910),a1),a324),a106)),x102252)))))
% 207.23/207.88 [10270]E(f327(a113,x102701),f327(f105(a915),x102702))+~P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x102702),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f7(a1,a915,a910),f327(f327(f8(a915,f922(a915,a910),a1),a324),a106)),x102701)))))
% 207.23/207.88 [10271]E(f327(f105(a915),x102711),f327(a113,x102712))+~P1(f327(f327(f86(a1,a910),f327(f105(a1),f327(f327(f80(a1),x102711),a98))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a330),f327(f327(f8(a910,a910,a1),a322),a195))),f327(f327(f7(a1,a915,a910),f327(f327(f8(a915,f922(a915,a910),a1),a324),a106)),x102712)))))
% 207.23/207.88 [10317]~P13(x103171,x103172)+P1(f327(f327(f329(f922(x103171,a910)),f806(x103172,x103171)),f327(f327(f8(f922(x103171,a910),a910,f922(x103171,a910)),f87(x103171)),f327(f327(f8(f922(x103171,a910),f922(x103171,a910),f922(x103171,a910)),f327(f18(x103171,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103171),a325),f327(f327(f18(x103171,x103171,a910),x103172),f5(x103171))))),f327(f327(f7(f922(x103171,a910),f922(x103171,f922(x103171,a910)),f922(x103171,a910)),f327(f327(f8(f922(f922(x103171,a910),a910),f922(f922(x103171,f922(x103171,a910)),f922(x103171,a910)),f922(x103171,a910)),f8(f922(x103171,a910),a910,x103171)),a324)),x103172)))))
% 207.23/207.88 [10054]~P93(x100541)+E(f327(f327(f244(x100541),f327(f105(x100541),a98)),f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x100542)),f78(x100541))
% 207.23/207.88 [10055]~P142(x100551)+E(f327(f327(f244(x100551),f327(f79(x100551),f78(x100551))),f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x100552)),f78(x100551))
% 207.23/207.88 [10058]~P80(x100581)+E(f327(f327(f244(x100581),x100582),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),a98))),f327(f327(f81(x100581),f327(f327(f81(x100581),x100582),x100582)),x100582))
% 207.23/207.88 [10250]~P1(f327(f327(f234(a1),f2(a1)),x102502))+E(f46(a1,f327(f327(f80(a1),f78(a1)),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102501)),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102502)),f327(f327(f80(a1),f78(a1)),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f46(a1,x102501,x102502))))
% 207.23/207.88 [10273]~P1(f327(f327(f234(a1),f2(a1)),x102732))+E(f327(f327(f37(a1),f327(f327(f80(a1),f78(a1)),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102731))),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102732)),f327(f327(f37(a1),x102731),x102732))
% 207.23/207.88 [10275]~P1(f327(f327(f234(a1),x102752),f2(a1)))+E(f327(f327(f37(a1),f327(f327(f80(a1),f78(a1)),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102751))),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102752)),f327(f327(f37(a1),f327(f327(f80(a1),x102751),f78(a1))),x102752))
% 207.23/207.88 [10276]~P1(f327(f327(f234(a1),x102762),f2(a1)))+E(f46(a1,f327(f327(f80(a1),f78(a1)),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102761)),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102762)),f327(f327(f23(a1),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f46(a1,f327(f327(f80(a1),x102761),f78(a1)),x102762))),f78(a1)))
% 207.23/207.88 [10146]~P93(x101461)+E(f327(f327(f244(x101461),f327(f105(x101461),a98)),f327(a113,f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101462))),f327(f105(x101461),a98))
% 207.23/207.88 [10148]~P142(x101481)+E(f327(f327(f244(x101481),f327(f79(x101481),f78(x101481))),f327(a113,f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101482))),f327(f79(x101481),f78(x101481)))
% 207.23/207.88 [5108]P36(x51081,x51082)+~P6(x51081,x51083,x51082)
% 207.23/207.88 [5110]P49(x51101,x51102)+~P6(x51101,x51103,x51102)
% 207.23/207.88 [5281]~P6(x52811,x52812,x52813)+P50(x52811,x52812,x52813)
% 207.23/207.88 [8233]~E(x82332,x82333)+P32(x82331,x82331,a324,x82332,x82333)
% 207.23/207.88 [8780]E(x87801,x87802)+~P32(x87803,x87803,a324,x87801,x87802)
% 207.23/207.88 [4916]E(f170(x49161,x49162,x49163),f114(x49161))+~E(x49162,f2(a915))
% 207.23/207.88 [5084]~E(f170(x50842,x50841,x50843),f114(x50842))+E(x50841,f2(a915))
% 207.23/207.88 [5286]~P35(x52861,x52863)+P35(x52861,f321(x52861,x52862,x52863))
% 207.23/207.88 [5394]~P27(x53941,x53942,x53943)+P29(a1,x53941,f179(x53942,x53943))
% 207.23/207.88 [5467]P27(x54671,x54672,x54673)+~P29(a1,x54671,f179(x54672,x54673))
% 207.23/207.88 [5538]~P6(x55381,x55382,x55383)+P6(f916(x55381),f162(x55381,x55382),f159(x55381,x55383))
% 207.23/207.88 [5539]~P50(x55391,x55392,x55393)+P50(f916(x55391),f162(x55391,x55392),f159(x55391,x55393))
% 207.23/207.88 [5652]P52(x56521,x56522,x56523)+~E(f586(x56523,x56522,x56521),f587(x56523,x56522,x56521))
% 207.23/207.88 [5653]P53(x56531,x56532,x56533)+~E(f603(x56533,x56532,x56531),f604(x56533,x56532,x56531))
% 207.23/207.88 [8239]~E(x82392,x82393)+P24(x82391,x82391,f31(x82391),x82392,x82393)
% 207.23/207.88 [8788]E(x87881,x87882)+~P24(x87883,x87883,f31(x87883),x87881,x87882)
% 207.23/207.88 [4871]~E(f327(f169(x48712),x48711),x48713)+E(x48711,f327(f169(x48712),x48713))
% 207.23/207.88 [4872]~E(x48722,f327(f169(x48721),x48723))+E(f327(f169(x48721),x48722),x48723)
% 207.23/207.88 [4922]E(x49221,x49222)+~E(f327(f169(x49223),x49221),f327(f169(x49223),x49222))
% 207.23/207.88 [5134]~P5(x51343,x51341)+P1(f327(f327(x51341,x51342),x51342))
% 207.23/207.88 [5135]~P41(x51353,x51351)+P1(f327(f327(x51351,x51352),x51352))
% 207.23/207.88 [5137]~P57(x51371,x51372)+P1(f327(f315(x51371,x51372),x51373))
% 207.23/207.88 [5202]~P35(x52021,x52022)+P35(f916(x52021),f327(f144(x52021,x52022),x52023))
% 207.23/207.88 [5207]~P1(f327(x52072,x52073))+~E(f327(f262(x52071),x52072),f190(f922(x52071,a910)))
% 207.23/207.88 [5208]~P1(f327(x52082,x52083))+~E(f190(f922(x52081,a910)),f327(f262(x52081),x52082))
% 207.23/207.88 [5220]E(x52201,f2(a915))+E(f145(x52202,f170(x52202,x52201,x52203)),x52203)
% 207.23/207.88 [5239]~P1(f327(x52391,x52393))+P1(f327(x52391,f90(x52392,x52391)))
% 207.23/207.88 [5240]~P1(f327(x52401,x52403))+P1(f327(x52401,f733(x52401,x52402)))
% 207.23/207.88 [5252]E(x52521,f2(a915))+E(f327(f142(x52522),f170(x52522,x52521,x52523)),x52523)
% 207.23/207.88 [5357]~E(x53572,x53573)+P1(f327(f327(f329(x53571),x53572),f327(a324,x53573)))
% 207.23/207.88 [5372]~E(x53722,f2(a915))+E(f327(f173(x53721),f170(x53721,x53722,x53723)),f190(f922(x53721,a910)))
% 207.23/207.88 [5416]E(f327(f169(x54161),x54162),f327(f327(f152(x54161),x54163),f114(x54161)))+~E(x54162,f327(f327(f152(x54161),x54163),f114(x54161)))
% 207.23/207.88 [5417]~E(x54173,f327(f327(f152(x54171),x54172),f114(x54171)))+E(f327(f327(f152(x54171),x54172),f114(x54171)),f327(f169(x54171),x54173))
% 207.23/207.88 [5463]~P31(x54631,x54632,x54633)+P31(x54631,x54632,f327(f169(x54631),x54633))
% 207.23/207.88 [5464]~P29(x54641,x54642,x54643)+P29(x54641,x54642,f327(f169(x54641),x54643))
% 207.23/207.88 [5468]E(f327(f36(x54681),f336(x54682,x54683,x54681)),x54682)+~E(f327(f36(x54681),x54683),f327(a113,x54682))
% 207.23/207.88 [5475]~P35(x54751,x54753)+P1(f327(f327(f329(x54751),x54752),f316(x54751,x54753)))
% 207.23/207.88 [5479]~E(f327(f169(x54792),x54791),f327(f327(f152(x54792),x54793),f114(x54792)))+E(x54791,f327(f327(f152(x54792),x54793),f114(x54792)))
% 207.23/207.88 [5480]~E(f327(f327(f152(x54802),x54803),f114(x54802)),f327(f169(x54802),x54801))+E(x54801,f327(f327(f152(x54802),x54803),f114(x54802)))
% 207.23/207.88 [5503]E(f85(f921(a915,a915),f49(x55031,x55032)),x55033)+~P1(f327(f49(x55031,x55032),x55033))
% 207.23/207.88 [5542]P31(x55421,x55422,x55423)+~P31(x55421,x55422,f327(f169(x55421),x55423))
% 207.23/207.88 [5543]P29(x55431,x55432,x55433)+~P29(x55431,x55432,f327(f169(x55431),x55433))
% 207.23/207.88 [5582]P1(f327(f327(x55821,x55822),x55822))+~P1(f327(f270(x55823,x55821),x55822))
% 207.23/207.88 [5583]~P1(f327(f327(x55832,x55833),x55833))+P1(f327(f270(x55831,x55832),x55833))
% 207.23/207.88 [5605]~E(x56052,f114(x56051))+P1(f327(f327(f329(f916(x56051)),x56052),f162(x56051,x56053)))
% 207.23/207.88 [5615]~P50(x56151,x56152,x56153)+P50(x56151,x56152,f327(f286(x56151,x56151),x56153))
% 207.23/207.88 [5616]~P53(x56161,x56162,x56163)+P53(x56161,x56162,f327(f286(x56161,x56161),x56163))
% 207.23/207.88 [5633]~P58(x56331)+E(f46(x56331,f46(x56331,x56332,x56333),x56333),f46(x56331,x56332,x56333))
% 207.23/207.88 [5736]E(x57361,x57362)+~P1(f327(f327(f329(x57363),x57361),f327(a324,x57362)))
% 207.23/207.88 [5783]~P146(x57831)+E(f192(x57831,x57832,f2(a915),x57833),x57833)
% 207.23/207.88 [5805]P50(x58051,x58052,x58053)+~P50(x58051,x58052,f327(f286(x58051,x58051),x58053))
% 207.23/207.88 [5806]P53(x58061,x58062,x58063)+~P53(x58061,x58062,f327(f286(x58061,x58061),x58063))
% 207.23/207.88 [5810]~P108(x58102)+E(f151(x58101,x58102,x58103,f114(x58101)),f114(x58101))
% 207.23/207.88 [5822]E(f171(x58221,x58222,f153(x58221,x58223)),f153(x58221,f171(x58221,x58222,x58223)))+~P1(f327(f138(x58221),x58223))
% 207.23/207.88 [5921]~P1(f327(f327(x59213,x59212),x59212))+P1(f327(f327(f329(x59211),x59212),f270(x59211,x59213)))
% 207.23/207.88 [5923]E(f327(f137(x59231,x59232),x59233),f114(x59231))+P1(f327(x59232,f668(x59233,x59232,x59231)))
% 207.23/207.88 [5982]E(f68(x59821,x59822,x59823),x59822)+P1(f327(x59823,f734(x59822,x59821,x59823)))
% 207.23/207.88 [6078]~P1(f327(f138(x60781),x60782))+P1(f327(f138(x60781),f177(x60781,x60782,x60783)))
% 207.23/207.88 [6079]~P1(f327(f138(x60791),x60793))+P1(f327(f138(x60791),f171(x60791,x60792,x60793)))
% 207.23/207.88 [6080]~P1(f327(f138(x60801),x60803))+P1(f327(f138(x60801),f178(x60801,x60802,x60803)))
% 207.23/207.88 [6081]~P1(f327(f138(x60811),x60813))+P1(f327(f138(x60811),f141(x60811,x60812,x60813)))
% 207.23/207.88 [6082]~P147(x60821,x60822,x60823)+P1(f327(x60821,f46(a1,x60822,x60823)))
% 207.23/207.88 [6098]~P31(x60983,x60981,x60982)+P1(f327(x60981,f746(x60982,x60981,x60983)))
% 207.23/207.88 [6099]~P33(x60993,x60991,x60992)+P1(f327(x60991,f752(x60992,x60991,x60993)))
% 207.23/207.88 [6100]~P33(x61003,x61001,x61002)+P1(f327(x61001,f762(x61002,x61001,x61003)))
% 207.23/207.88 [6101]~P31(x61013,x61011,x61012)+P1(f327(x61011,f791(x61011,x61012,x61013)))
% 207.23/207.88 [6102]~P31(x61023,x61021,x61022)+P1(f327(x61021,f792(x61022,x61021,x61023)))
% 207.23/207.88 [6107]P1(f327(f327(x61071,x61072),x61072))+~P1(f327(f327(f329(x61073),x61072),f270(x61073,x61071)))
% 207.23/207.88 [6122]E(f327(f137(x61221,x61222),x61223),f178(x61221,x61222,x61223))+P1(f327(x61222,f717(x61223,x61222,x61221)))
% 207.23/207.88 [6162]~P1(f327(f138(x61621),x61623))+P1(f327(f138(f916(x61621)),f56(x61621,x61622,x61623)))
% 207.23/207.88 [6197]~P110(x61971)+E(f327(f327(f103(f922(x61971,a910)),f327(f282(x61971),x61972)),f303(x61971,x61972,x61973)),f190(f922(x61971,a910)))
% 207.23/207.88 [6198]~P110(x61981)+E(f327(f327(f103(f922(x61981,a910)),f327(f301(x61981),x61982)),f306(x61981,x61982,x61983)),f190(f922(x61981,a910)))
% 207.23/207.88 [6199]~P110(x61991)+E(f327(f327(f103(f922(x61991,a910)),f327(f301(x61991),x61992)),f305(x61991,x61992,x61993)),f190(f922(x61991,a910)))
% 207.23/207.88 [6434]E(f327(f137(x64341,x64342),x64343),x64343)+~P1(f327(x64342,f669(x64343,x64342,x64341)))
% 207.23/207.88 [6436]E(f327(f327(f309(x64361),f369(x64362,x64363,x64361)),f336(x64362,x64363,x64361)),x64363)+~E(f327(f36(x64361),x64363),f327(a113,x64362))
% 207.23/207.88 [6452]P147(x64521,x64522,x64523)+~P1(f327(x64521,f46(a1,x64522,x64523)))
% 207.23/207.88 [6503]P29(x65031,x65032,x65033)+~P1(f327(x65032,f753(x65033,x65032,x65031)))
% 207.23/207.88 [6504]P29(x65041,x65042,x65043)+~P1(f327(x65042,f760(x65042,x65043,x65041)))
% 207.23/207.88 [6505]P29(x65051,x65052,x65053)+~P1(f327(x65052,f761(x65053,x65052,x65051)))
% 207.23/207.88 [6506]P27(x65061,x65062,x65063)+~P1(f327(x65061,f774(x65063,x65062,x65061)))
% 207.23/207.88 [6507]P28(x65071,x65072,x65073)+~P1(f327(x65071,f824(x65073,x65072,x65071)))
% 207.23/207.88 [6509]E(f178(x65091,x65092,x65093),x65093)+~P1(f327(x65092,f713(x65093,x65092,x65091)))
% 207.23/207.88 [6587]~P1(f327(x65872,f575(x65873,x65872,x65871)))+P1(f327(f248(x65871,x65872),x65873))
% 207.23/207.88 [6588]~P1(f327(x65882,f670(x65883,x65882,x65881)))+P1(f327(f161(x65881,x65882),x65883))
% 207.23/207.88 [6837]~P1(f327(f315(x68371,x68372),f503(x68373,x68372,x68371)))+P1(f327(f315(x68371,x68372),x68373))
% 207.23/207.88 [6838]~P1(f327(f315(x68381,x68382),f527(x68383,x68382,x68381)))+P1(f327(f315(x68381,x68382),x68383))
% 207.23/207.88 [7458]~P58(x74581)+E(f327(f327(f80(x74581),f327(f327(f81(x74581),x74582),f327(f327(f37(x74581),x74583),x74582))),f46(x74581,x74583,x74582)),x74583)
% 207.23/207.88 [7488]P27(x74881,x74882,x74883)+P1(f327(f327(f329(a1),f774(x74883,x74882,x74881)),f303(a1,x74882,x74883)))
% 207.23/207.88 [7915]E(f327(f327(f252(x79151,x79151),f531(x79152,x79153,x79151)),f531(x79152,x79153,x79151)),x79153)+~P1(f327(f327(f329(f921(x79151,x79151)),x79153),f263(x79151,x79152)))
% 207.23/207.88 [8031]~P1(f327(f327(f329(x80311),f537(x80313,x80312,x80311)),f316(x80311,x80313)))+P1(f327(f327(f329(x80311),x80312),f316(x80311,x80313)))
% 207.23/207.88 [8032]~P1(f327(f327(f329(x80321),f588(x80323,x80322,x80321)),f316(x80321,x80323)))+P1(f327(f327(f329(x80321),x80322),f316(x80321,x80323)))
% 207.23/207.88 [8033]~P1(f327(f327(f329(x80331),f594(x80333,x80332,x80331)),f316(x80331,x80333)))+P1(f327(f327(f329(x80331),x80332),f316(x80331,x80333)))
% 207.23/207.88 [8126]P31(a1,x81261,f179(x81262,x81263))+P27(f327(f72(a910,a910,a1,a322),x81261),x81262,x81263)
% 207.23/207.88 [8214]~P58(x82141)+E(f327(f327(f80(x82141),f327(f327(f81(x82141),f327(f327(f37(x82141),x82142),x82143)),x82143)),f46(x82141,x82142,x82143)),x82142)
% 207.23/207.88 [8260]~E(f327(f36(x82601),x82602),f327(a113,x82603))+~P1(f327(f327(f329(x82601),f369(x82603,x82602,x82601)),f336(x82603,x82602,x82601)))
% 207.23/207.88 [8698]~P31(a1,x86981,f179(x86982,x86983))+~P27(f327(f72(a910,a910,a1,a322),x86981),x86982,x86983)
% 207.23/207.88 [8885]P1(f327(f327(f234(f922(f921(x88851,x88851),a910)),f307(x88851,x88852)),f307(x88851,x88853)))+~P1(f327(f327(f234(f922(f921(x88851,x88851),a910)),x88852),f307(x88851,x88853)))
% 207.23/207.88 [9169]E(x91691,f114(x91692))+~P1(f327(f327(f329(f921(f916(x91692),f916(x91692))),f327(f327(f252(f916(x91692),f916(x91692)),x91691),f114(x91692))),f159(x91692,x91693)))
% 207.23/207.88 [9193]E(x91931,f114(x91932))+~P1(f327(f327(f329(f921(f916(x91932),f916(x91932))),f327(f327(f252(f916(x91932),f916(x91932)),f114(x91932)),x91931)),f159(x91932,x91933)))
% 207.23/207.88 [9318]E(f327(f327(f152(x93181),f686(x93182,x93183,x93181)),f687(x93182,x93183,x93181)),x93183)+~P1(f327(f327(f329(f921(f916(x93181),f916(x93181))),f327(f327(f252(f916(x93181),f916(x93181)),f114(x93181)),x93183)),f148(x93181,x93182)))
% 207.23/207.88 [9554]~P128(x95541)+~P1(f327(f327(f235(x95541),f327(f327(f80(x95541),f327(f327(f81(x95541),x95542),x95542)),f327(f327(f81(x95541),x95543),x95543))),f2(x95541)))
% 207.23/207.88 [9605]P1(f327(f35(x96051),x96052))+~P1(f327(f327(f329(f921(f922(x96051,a910),f922(x96051,a910))),f327(f327(f252(f922(x96051,a910),f922(x96051,a910)),x96053),x96052)),f314(x96051)))
% 207.23/207.88 [9902]~P45(x99021,x99022,x99023)+P1(f327(f327(f234(a1),f327(f327(f72(f921(a1,a1),a1,x99021,f251(a1,a1)),f214(x99021)),f232(x99021,x99022,f229(x99021,x99023)))),f2(a1)))
% 207.23/207.88 [9903]~P46(x99031,x99032,x99033)+P1(f327(f327(f235(a1),f327(f327(f72(f921(a1,a1),a1,x99031,f251(a1,a1)),f214(x99031)),f232(x99031,x99032,f229(x99031,x99033)))),f2(a1)))
% 207.23/207.88 [10022]P46(x100221,x100222,x100223)+~P1(f327(f327(f235(a1),f327(f327(f72(f921(a1,a1),a1,x100221,f251(a1,a1)),f214(x100221)),f232(x100221,x100222,f229(x100221,x100223)))),f2(a1)))
% 207.23/207.88 [10023]P45(x100231,x100232,x100233)+~P1(f327(f327(f234(a1),f327(f327(f72(f921(a1,a1),a1,x100231,f251(a1,a1)),f214(x100231)),f232(x100231,x100232,f229(x100231,x100233)))),f2(a1)))
% 207.23/207.88 [10375]~P119(x103751)+~P1(f327(f327(f235(x103751),f327(f327(f80(x103751),f327(f327(f244(x103751),x103752),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x103751),x103753),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))),f2(x103751)))
% 207.23/207.88 [4901]~E(x49013,f114(x49011))+E(f327(f327(f135(x49011),x49012),x49013),x49012)
% 207.23/207.88 [4902]~E(x49022,f114(x49021))+E(f327(f327(f135(x49021),x49022),x49023),x49023)
% 207.23/207.88 [4908]~E(x49082,f2(a915))+E(f327(f327(f176(x49081),x49082),x49083),f114(x49081))
% 207.23/207.88 [4917]~E(x49173,f114(x49171))+E(f327(f327(f176(x49171),x49172),x49173),f114(x49171))
% 207.23/207.88 [4956]~E(x49561,x49563)+E(x49561,f327(f327(f135(x49562),f114(x49562)),x49563))
% 207.23/207.88 [5047]~P65(x50472)+E(f327(f190(f922(x50471,x50472)),x50473),f190(x50472))
% 207.23/207.88 [5048]~P115(x50482)+E(f327(f242(f922(x50481,x50482)),x50483),f242(x50482))
% 207.23/207.88 [5066]E(x50661,f114(x50662))+~E(f327(f327(f135(x50662),x50663),x50661),x50663)
% 207.23/207.88 [5067]E(x50671,f114(x50672))+~E(f327(f327(f135(x50672),x50671),x50673),x50673)
% 207.23/207.88 [5075]E(x50751,f114(x50752))+~E(f327(f327(f135(x50752),x50753),x50751),f114(x50752))
% 207.23/207.88 [5076]E(x50761,f114(x50762))+~E(f327(f327(f135(x50762),x50761),x50763),f114(x50762))
% 207.23/207.88 [5101]~E(x51012,f2(a915))+E(f327(f327(f81(a915),x51011),x51012),f327(f327(f81(a915),x51013),x51012))
% 207.23/207.88 [5103]~E(x51031,f2(a915))+E(f327(f327(f81(a915),x51031),x51032),f327(f327(f81(a915),x51031),x51033))
% 207.23/207.88 [5160]~P112(x51601)+E(f327(f327(f80(x51601),x51602),x51603),f327(f327(f80(x51601),x51603),x51602))
% 207.23/207.88 [5161]~P112(x51611)+E(f327(f327(f81(x51611),x51612),x51613),f327(f327(f81(x51611),x51613),x51612))
% 207.23/207.88 [5163]~P108(x51631)+E(f327(f327(f238(x51631),x51632),x51633),f327(f327(f238(x51631),x51633),x51632))
% 207.23/207.88 [5165]~P108(x51651)+E(f327(f327(f189(x51651),x51652),x51653),f327(f327(f189(x51651),x51653),x51652))
% 207.23/207.88 [5166]~P96(x51661)+E(f327(f327(f102(x51661),x51662),x51663),f327(f327(f102(x51661),x51663),x51662))
% 207.23/207.88 [5168]~P101(x51681)+E(f327(f327(f102(x51681),x51682),x51683),f327(f327(f102(x51681),x51683),x51682))
% 207.23/207.88 [5169]~P96(x51691)+E(f327(f327(f103(x51691),x51692),x51693),f327(f327(f103(x51691),x51693),x51692))
% 207.23/207.88 [5171]~P102(x51711)+E(f327(f327(f103(x51711),x51712),x51713),f327(f327(f103(x51711),x51713),x51712))
% 207.23/207.88 [5234]E(f46(a915,x52341,x52342),f2(a915))+~E(x52341,f327(f327(f81(a915),x52342),x52343))
% 207.23/207.88 [5235]E(f46(a1,x52351,x52352),f2(a1))+~E(x52351,f327(f327(f81(a1),x52352),x52353))
% 207.23/207.88 [5298]E(x52981,x52982)+~E(f327(f327(f80(a915),x52983),x52981),f327(f327(f80(a915),x52983),x52982))
% 207.23/207.88 [5299]E(x52991,x52992)+~E(f327(f327(f80(a915),x52991),x52993),f327(f327(f80(a915),x52992),x52993))
% 207.23/207.88 [5309]~P67(x53091)+E(f327(f327(f80(x53091),x53092),f327(f79(x53091),x53093)),f327(f327(f23(x53091),x53092),x53093))
% 207.23/207.88 [5310]~P74(x53101)+E(f327(f327(f80(x53101),x53102),f327(f79(x53101),x53103)),f327(f327(f23(x53101),x53102),x53103))
% 207.23/207.88 [5311]~P114(x53111)+E(f327(f327(f80(x53111),x53112),f327(f79(x53111),x53113)),f327(f327(f23(x53111),x53112),x53113))
% 207.23/207.88 [5312]~P86(x53121)+E(f327(f327(f103(x53121),x53122),f327(f79(x53121),x53123)),f327(f327(f23(x53121),x53122),x53123))
% 207.23/207.88 [5313]~P74(x53131)+E(f327(f327(f23(x53131),x53132),f327(f79(x53131),x53133)),f327(f327(f80(x53131),x53132),x53133))
% 207.23/207.88 [5351]~P1(f327(x53513,x53512))+P1(f327(f327(f329(x53511),x53512),x53513))
% 207.23/207.88 [5353]~P68(x53532)+E(f327(f327(f6(x53531,x53532),x53533),f190(f922(x53531,a910))),f2(x53532))
% 207.23/207.88 [5355]~P75(x53552)+E(f327(f327(f9(x53551,x53552),x53553),f190(f922(x53551,a910))),f78(x53552))
% 207.23/207.88 [5406]~E(x54062,f327(f327(f80(a915),x54061),x54063))+P1(f327(f327(f234(a915),x54061),x54062))
% 207.23/207.88 [5409]~E(x54092,f190(f922(x54091,a910)))+E(f327(f327(f61(x54091),x54092),x54093),f190(f922(f922(x54091,a910),a910)))
% 207.23/207.88 [5410]~E(x54102,f190(f922(x54101,a910)))+E(f190(f922(f922(x54101,a910),a910)),f327(f327(f61(x54101),x54102),x54103))
% 207.23/207.88 [5483]~E(f327(f284(x54832,x54833),x54831),f190(f922(x54833,a910)))+E(x54831,f190(f922(f921(x54832,x54833),a910)))
% 207.23/207.88 [5484]~E(f327(f264(x54842,x54843),x54841),f190(f922(x54842,a910)))+E(x54841,f190(f922(f921(x54842,x54843),a910)))
% 207.23/207.88 [5516]E(f327(f284(x55161,x55162),x55163),f190(f922(x55162,a910)))+~E(x55163,f190(f922(f921(x55161,x55162),a910)))
% 207.23/207.88 [5517]E(f327(f264(x55171,x55172),x55173),f190(f922(x55171,a910)))+~E(x55173,f190(f922(f921(x55171,x55172),a910)))
% 207.23/207.88 [5520]E(f274(x55201,x55202,x55203),f327(f327(f23(a100),x55202),x55203))+P1(f327(f327(f235(a100),x55202),x55203))
% 207.23/207.88 [5536]P1(f327(x55361,x55362))+~P1(f327(f327(f329(x55363),x55362),x55361))
% 207.23/207.88 [5575]E(x55751,x55752)+~E(f327(f79(f922(x55753,a910)),x55751),f327(f79(f922(x55753,a910)),x55752))
% 207.23/207.88 [5586]~E(x55861,f190(f922(x55862,a910)))+~P1(f327(f327(f329(x55862),x55863),x55861))
% 207.23/207.88 [5617]~E(x56172,f327(f327(f80(a1),x56171),f327(f101(a1),x56173)))+P1(f327(f327(f234(a1),x56171),x56172))
% 207.23/207.88 [5631]E(f327(f327(f309(x56311),x56312),x56313),x56313)+~P1(f327(f327(f329(x56311),x56312),x56313))
% 207.23/207.88 [5642]E(x56421,f190(f922(x56422,a910)))+~E(f327(f327(f61(x56422),x56421),x56423),f190(f922(f922(x56422,a910),a910)))
% 207.23/207.88 [5643]E(x56431,f190(f922(x56432,a910)))+~E(f190(f922(f922(x56432,a910),a910)),f327(f327(f61(x56432),x56431),x56433))
% 207.23/207.88 [5649]~P106(x56491)+E(f327(f327(f81(x56491),f327(f79(x56491),x56492)),f327(f79(x56491),x56493)),f327(f327(f81(x56491),x56492),x56493))
% 207.23/207.88 [5651]~P61(x56511)+E(f327(f327(f291(x56511),f327(f79(x56511),x56512)),f327(f79(x56511),x56513)),f327(f327(f291(x56511),x56512),x56513))
% 207.23/207.88 [5683]~P1(f327(x56833,x56832))+P1(f327(f327(f329(x56831),x56832),f327(f262(x56831),x56833)))
% 207.23/207.88 [5710]E(x57101,f2(a915))+E(f327(f173(x57102),f170(x57102,x57101,x57103)),f327(f327(f309(x57102),x57103),f190(f922(x57102,a910))))
% 207.23/207.88 [5729]E(f171(x57291,x57292,x57293),x57293)+P1(f327(f327(f329(x57291),x57292),f327(f173(x57291),x57293)))
% 207.23/207.88 [5814]~P1(f327(f138(x58141),x58143))+P1(f327(f138(x58141),f327(f137(x58141,x58142),x58143)))
% 207.23/207.88 [5857]~P58(x58571)+E(f327(f327(f37(x58571),f46(x58571,x58572,x58573)),x58573),f2(x58571))
% 207.23/207.88 [5876]E(f177(x58761,f327(f327(f152(x58761),x58762),f114(x58761)),x58763),f114(x58761))+P1(f327(f327(f329(a915),f2(a915)),x58763))
% 207.23/207.88 [5882]E(x58821,f2(a915))+E(f327(f172(x58822),f170(x58822,x58821,x58823)),f170(x58822,f327(f327(f23(a915),x58821),f78(a915)),x58823))
% 207.23/207.88 [5933]E(f327(f327(f152(x59331),x59332),x59333),f141(x59331,x59332,x59333))+P1(f327(f327(f329(x59331),x59332),f327(f173(x59331),x59333)))
% 207.23/207.88 [5942]E(x59421,x59422)+~E(f327(f327(f81(a915),f327(a113,x59423)),x59421),f327(f327(f81(a915),f327(a113,x59423)),x59422))
% 207.23/207.88 [5943]~E(x59432,f327(f327(f80(a1),x59431),f327(f101(a1),f327(a113,x59433))))+P1(f327(f327(f235(a1),x59431),x59432))
% 207.23/207.88 [6004]~P28(x60041,x60042,x60043)+P29(a915,x60041,f140(a915,f327(f302(a915,x60042),x60043)))
% 207.23/207.88 [6057]~E(x60573,f114(x60571))+E(f327(f327(f327(f184(f916(x60571),f916(x60571)),x60572),f168(x60571)),x60573),f114(x60571))
% 207.23/207.88 [6061]P1(f327(x60611,x60612))+~P1(f327(f327(f329(x60613),x60612),f327(f262(x60613),x60611)))
% 207.23/207.88 [6093]E(x60931,x60932)+~E(f327(f327(f309(x60933),x60931),f190(f922(x60933,a910))),f327(f327(f309(x60933),x60932),f190(f922(x60933,a910))))
% 207.23/207.88 [6109]~P110(x61091)+E(f327(f327(f103(f922(x61091,a910)),f327(f282(x61091),x61092)),f327(f302(x61091,x61092),x61093)),f190(f922(x61091,a910)))
% 207.23/207.88 [6148]E(f141(x61481,x61482,x61483),x61483)+~P1(f327(f327(f329(x61481),x61482),f327(f173(x61481),x61483)))
% 207.23/207.88 [6170]~P78(x61701)+E(f327(f310(x61701,x61701,f79(x61701)),f327(f302(x61701,x61702),x61703)),f305(x61701,f327(f79(x61701),x61703),f327(f79(x61701),x61702)))
% 207.23/207.88 [6181]E(f327(f191(f916(x61811)),f171(x61811,x61812,x61813)),f327(f191(f916(x61811)),x61813))+P1(f327(f327(f329(x61811),x61812),f327(f173(x61811),x61813)))
% 207.23/207.88 [6238]~P110(x62381)+E(f327(f327(f103(f922(x62381,a910)),f327(f302(x62381,x62382),x62383)),f327(f283(x62381),x62383)),f190(f922(x62381,a910)))
% 207.23/207.88 [6258]~P78(x62581)+E(f327(f310(x62581,x62581,f79(x62581)),f306(x62581,x62582,x62583)),f306(x62581,f327(f79(x62581),x62583),f327(f79(x62581),x62582)))
% 207.23/207.88 [6259]~P78(x62591)+E(f327(f310(x62591,x62591,f79(x62591)),f303(x62591,x62592,x62593)),f303(x62591,f327(f79(x62591),x62593),f327(f79(x62591),x62592)))
% 207.23/207.88 [6325]E(f177(x63251,f327(f327(f152(x63251),x63252),f114(x63251)),x63253),f327(f327(f152(x63251),x63252),f114(x63251)))+~P1(f327(f327(f329(a915),f2(a915)),x63253))
% 207.23/207.88 [6330]P28(x63301,x63302,x63303)+~P29(a915,x63301,f140(a915,f327(f302(a915,x63302),x63303)))
% 207.23/207.88 [6333]~P78(x63331)+E(f327(f310(x63331,x63331,f79(x63331)),f305(x63331,x63332,x63333)),f327(f302(x63331,f327(f79(x63331),x63333)),f327(f79(x63331),x63332)))
% 207.23/207.88 [6354]~P59(x63541)+E(f46(x63541,f327(f79(x63541),f46(x63541,x63542,x63543)),x63543),f46(x63541,f327(f79(x63541),x63542),x63543))
% 207.23/207.88 [6450]~P1(f327(f35(f921(x64502,x64501)),x64503))+P1(f327(f35(x64501),f327(f284(x64502,x64501),x64503)))
% 207.23/207.88 [6451]~P1(f327(f35(f921(x64511,x64512)),x64513))+P1(f327(f35(x64511),f327(f264(x64511,x64512),x64513)))
% 207.23/207.88 [6456]~P110(x64561)+E(f327(f327(f103(f922(x64561,a910)),f306(x64561,x64562,x64563)),f327(f283(x64561),x64563)),f190(f922(x64561,a910)))
% 207.23/207.88 [6457]~P110(x64571)+E(f327(f327(f103(f922(x64571,a910)),f305(x64571,x64572,x64573)),f327(f304(x64571),x64573)),f190(f922(x64571,a910)))
% 207.23/207.88 [6458]~P110(x64581)+E(f327(f327(f103(f922(x64581,a910)),f303(x64581,x64582,x64583)),f327(f304(x64581),x64583)),f190(f922(x64581,a910)))
% 207.23/207.88 [6529]E(f327(f327(f165(x65291),x65292),f629(x65292,x65293,x65291)),x65293)+~P1(f327(f327(f329(x65291),x65293),f327(f173(x65291),x65292)))
% 207.23/207.88 [6671]E(x66711,f114(x66712))+~E(f327(f327(f327(f184(f916(x66712),f916(x66712)),x66713),f168(x66712)),x66711),f114(x66712))
% 207.23/207.88 [6775]~P1(f327(f35(f921(x67752,x67751)),x67753))+P1(f327(f35(f921(x67751,x67752)),f327(f286(x67752,x67751),x67753)))
% 207.23/207.88 [6798]E(x67981,x67982)+~E(f290(a915,f287(a915),x67983,x67981),f327(f327(f309(a915),x67982),f190(f922(a915,a910))))
% 207.23/207.88 [6799]E(x67991,x67992)+~E(f290(a915,f287(a915),x67991,x67992),f327(f327(f309(a915),x67993),f190(f922(a915,a910))))
% 207.23/207.88 [6929]P53(x69291,x69292,x69293)+P1(f327(f327(f329(x69291),f604(x69293,x69292,x69291)),x69292))
% 207.23/207.88 [6930]P53(x69301,x69302,x69303)+P1(f327(f327(f329(x69301),f603(x69303,x69302,x69301)),x69302))
% 207.23/207.88 [6940]P1(f327(f315(x69401,x69402),x69403))+P1(f327(f327(x69402,f503(x69403,x69402,x69401)),x69403))
% 207.23/207.88 [6941]P1(f327(f315(x69411,x69412),x69413))+P1(f327(f327(x69412,f527(x69413,x69412,x69411)),x69413))
% 207.23/207.88 [6972]E(f327(f191(f916(x69721)),f171(x69721,x69722,x69723)),f327(f327(f23(a915),f327(f191(f916(x69721)),x69723)),f78(a915)))+~P1(f327(f327(f329(x69721),x69722),f327(f173(x69721),x69723)))
% 207.23/207.88 [7011]P1(f327(f248(x70111,x70112),x70113))+P1(f327(f327(f329(x70111),f575(x70113,x70112,x70111)),x70113))
% 207.23/207.88 [7020]~P1(f327(f35(f921(x70202,x70201)),f327(f286(x70201,x70202),x70203)))+P1(f327(f35(f921(x70201,x70202)),x70203))
% 207.23/207.88 [7078]~P1(f327(f327(f329(x70781),x70782),f327(f173(x70781),f115(x70781,x70783))))+P1(f327(f327(f329(x70781),x70782),f327(f173(x70781),x70783)))
% 207.23/207.88 [7113]E(f327(f137(x71131,x71132),x71133),x71133)+P1(f327(f327(f329(x71131),f669(x71133,x71132,x71131)),f327(f173(x71131),x71133)))
% 207.23/207.88 [7127]E(f327(f137(x71271,x71272),x71273),f114(x71271))+P1(f327(f327(f329(x71271),f668(x71273,x71272,x71271)),f327(f173(x71271),x71273)))
% 207.23/207.88 [7153]P29(x71531,x71532,x71533)+P1(f327(f327(f329(x71531),f753(x71533,x71532,x71531)),f327(f173(x71531),x71533)))
% 207.23/207.88 [7154]P29(x71541,x71542,x71543)+P1(f327(f327(f329(x71541),f761(x71543,x71542,x71541)),f327(f173(x71541),x71543)))
% 207.23/207.88 [7155]P29(x71551,x71552,x71553)+P1(f327(f327(f329(x71551),f760(x71552,x71553,x71551)),f327(f173(x71551),x71553)))
% 207.23/207.88 [7158]E(f178(x71581,x71582,x71583),x71583)+P1(f327(f327(f329(x71581),f713(x71583,x71582,x71581)),f327(f173(x71581),x71583)))
% 207.23/207.88 [7235]P1(f327(f161(x72351,x72352),x72353))+P1(f327(f327(f329(x72351),f670(x72353,x72352,x72351)),f327(f173(x72351),x72353)))
% 207.23/207.88 [7244]~P31(x72441,x72443,x72442)+P1(f327(f327(f329(x72441),f746(x72442,x72443,x72441)),f327(f173(x72441),x72442)))
% 207.23/207.88 [7245]~P33(x72451,x72453,x72452)+P1(f327(f327(f329(x72451),f752(x72452,x72453,x72451)),f327(f173(x72451),x72452)))
% 207.23/207.88 [7246]~P33(x72461,x72463,x72462)+P1(f327(f327(f329(x72461),f762(x72462,x72463,x72461)),f327(f173(x72461),x72462)))
% 207.23/207.88 [7247]~P31(x72471,x72472,x72473)+P1(f327(f327(f329(x72471),f791(x72472,x72473,x72471)),f327(f173(x72471),x72473)))
% 207.23/207.88 [7248]~P31(x72481,x72483,x72482)+P1(f327(f327(f329(x72481),f792(x72482,x72483,x72481)),f327(f173(x72481),x72482)))
% 207.23/207.88 [7282]P1(f327(f327(f329(x72821),x72822),f633(x72823,x72822,x72821)))+~P1(f327(f327(f329(x72821),x72822),f38(f922(x72821,a910),x72823)))
% 207.23/207.88 [7283]~P68(x72831)+E(f327(f327(f80(x72831),f327(f327(f6(a915,x72831),x72832),f327(f282(a915),x72833))),f327(x72832,x72833)),f327(f327(f6(a915,x72831),x72832),f327(f282(a915),f327(a113,x72833))))
% 207.23/207.88 [7295]P28(x72951,x72952,x72953)+P1(f327(f327(f329(a915),f824(x72953,x72952,x72951)),f327(f302(a915,x72952),x72953)))
% 207.23/207.88 [7375]~P31(x73752,x73751,x73753)+P1(f327(x73751,f327(f327(f165(x73752),x73753),f749(x73753,x73751,x73752))))
% 207.23/207.88 [7388]~P1(f327(f327(f329(x73881),x73882),f504(x73882,x73883,x73881)))+P1(f327(f327(f329(x73881),x73882),f39(f922(x73881,a910),x73883)))
% 207.23/207.88 [7421]~P68(x74211)+E(f327(f327(f80(x74211),f327(f327(f6(a915,x74211),x74212),f327(f301(a915),x74213))),f327(x74212,f327(a113,x74213))),f327(f327(f6(a915,x74211),x74212),f327(f301(a915),f327(a113,x74213))))
% 207.23/207.88 [7560]P1(f327(f327(f329(f916(x75601)),x75602),f162(x75601,x75603)))+P1(f327(f327(f329(x75601),f654(x75603,x75602,x75601)),f327(f173(x75601),x75602)))
% 207.23/207.88 [7574]~P1(f327(f327(f329(f916(x75741)),x75742),f162(x75741,f316(x75741,x75743))))+P1(f327(f327(f329(f916(x75741)),x75742),f316(f916(x75741),f158(x75741,x75743))))
% 207.23/207.88 [7599]~P1(f327(f327(f329(f916(x75991)),x75992),f316(f916(x75991),f158(x75991,x75993))))+P1(f327(f327(f329(f916(x75991)),x75992),f162(x75991,f316(x75991,x75993))))
% 207.23/207.88 [7632]E(f327(f327(f327(f184(f916(x76321),f916(x76321)),x76322),f168(x76321)),x76323),x76323)+~P1(f327(f327(f234(a915),f327(f191(f916(x76321)),x76323)),f78(a915)))
% 207.23/207.88 [7665]E(f327(f327(f135(x76651),f750(x76652,x76653,x76651)),f327(f327(f152(x76651),x76653),f751(x76652,x76653,x76651))),x76652)+~P1(f327(f327(f329(x76651),x76653),f327(f173(x76651),x76652)))
% 207.23/207.88 [7666]E(f327(f327(f135(x76661),f755(x76662,x76663,x76661)),f327(f327(f152(x76661),x76663),f756(x76662,x76663,x76661))),x76662)+~P1(f327(f327(f329(x76661),x76663),f327(f173(x76661),x76662)))
% 207.23/207.88 [7667]E(f327(f327(f135(x76671),f757(x76672,x76673,x76671)),f327(f327(f152(x76671),x76673),f758(x76672,x76673,x76671))),x76672)+~P1(f327(f327(f329(x76671),x76673),f327(f173(x76671),x76672)))
% 207.23/207.88 [7688]~P23(x76881,x76882,x76883,f242(f922(x76881,a910)))+P23(f916(x76881),f916(x76882),f327(f155(x76881,x76882),x76883),f242(f922(f916(x76881),a910)))
% 207.23/207.88 [7838]E(x78381,f327(f327(f80(a915),f327(f327(f81(a915),f327(f251(a915,a915),x78382)),x78383)),f327(f256(a915,a915),x78382)))+~P1(f327(f49(x78381,x78383),x78382))
% 207.23/207.88 [7846]P23(x78461,x78462,x78463,f242(f922(x78461,a910)))+~P23(f916(x78461),f916(x78462),f327(f155(x78461,x78462),x78463),f242(f922(f916(x78461),a910)))
% 207.23/207.88 [7890]P1(f327(f327(f329(f922(x78901,a910)),f504(x78902,x78903,x78901)),x78903))+P1(f327(f327(f329(x78901),x78902),f39(f922(x78901,a910),x78903)))
% 207.23/207.88 [7979]P1(f327(f327(f329(f916(x79791)),x79792),f162(x79791,x79793)))+~P1(f327(f327(f329(x79791),f654(x79793,x79792,x79791)),x79793))
% 207.23/207.88 [8080]P29(x80801,x80802,x80803)+~P1(f327(x80802,f327(f327(f165(x80801),x80803),f754(x80803,x80802,x80801))))
% 207.23/207.88 [8105]E(x81051,x81052)+~E(f327(f327(f7(x81053,f922(x81053,a910),a910),f329(x81053)),x81051),f327(f327(f7(x81053,f922(x81053,a910),a910),f329(x81053)),x81052))
% 207.23/207.88 [8113]~P1(f327(f327(f329(f921(x81131,x81131)),x81133),f263(x81131,x81132)))+P1(f327(f327(f329(x81131),f531(x81132,x81133,x81131)),x81132))
% 207.23/207.88 [8115]~P1(f327(f327(f329(x81151),x81153),f38(f922(x81151,a910),x81152)))+P1(f327(f327(f329(f922(x81151,a910)),f633(x81152,x81153,x81151)),x81152))
% 207.23/207.88 [8234]P23(x82341,x82342,f92(x82342,x82341,f242(f922(x82342,a910)),x82343),f242(f922(x82341,a910)))+~E(f327(f310(x82342,x82341,x82343),f242(f922(x82342,a910))),f242(f922(x82341,a910)))
% 207.23/207.88 [8288]~P1(f327(f327(f329(x82881),x82882),f327(f173(x82881),f755(x82883,x82882,x82881))))+~P1(f327(f327(f329(x82881),x82882),f327(f173(x82881),x82883)))
% 207.23/207.88 [8289]~P1(f327(f327(f329(x82891),x82892),f327(f173(x82891),f758(x82893,x82892,x82891))))+~P1(f327(f327(f329(x82891),x82892),f327(f173(x82891),x82893)))
% 207.23/207.88 [8318]P28(f327(f72(a910,a910,a915,a322),x83181),x83182,x83183)+P31(a915,x83181,f140(a915,f327(f302(a915,x83182),x83183)))
% 207.23/207.88 [8478]E(x84781,f114(x84782))+P1(f327(f327(f329(x84782),f327(f251(x84782,f921(a100,a100)),f327(f275(x84782,x84781),x84783))),f327(f173(x84782),x84781)))
% 207.23/207.88 [8576]~P71(x85761)+E(f327(f143(x85761,x85761,f327(f7(x85761,x85761,x85761),f80(x85761)),x85762),f327(f169(x85761),x85763)),f327(f143(x85761,x85761,f80(x85761),x85762),x85763))
% 207.23/207.88 [8768]~P23(x87682,x87681,x87683,f242(f922(x87682,a910)))+E(f327(f310(x87681,x87682,f92(x87682,x87681,f242(f922(x87682,a910)),x87683)),f242(f922(x87681,a910))),f242(f922(x87682,a910)))
% 207.23/207.88 [8838]~P28(f327(f72(a910,a910,a915,a322),x88381),x88382,x88383)+~P31(a915,x88381,f140(a915,f327(f302(a915,x88382),x88383)))
% 207.23/207.88 [9085]~P108(x90851)+E(f327(f173(x90851),f150(x90851,x90851,f5(x90851),x90852,x90853)),f327(f327(f309(x90851),x90852),f327(f173(x90851),x90853)))
% 207.23/207.88 [9096]~E(f327(x90963,f327(f92(x90961,x90962,f242(f922(x90961,a910)),x90963),f805(x90963,x90962,x90961))),f805(x90963,x90962,x90961))+E(f327(f310(x90961,x90962,x90963),f242(f922(x90961,a910))),f242(f922(x90962,a910)))
% 207.23/207.88 [9098]P1(f327(f327(f235(a915),f2(a915)),f606(x90981,x90982,x90983)))+~P1(f327(f327(f329(f921(x90983,x90983)),x90982),f327(f327(f289(x90983,x90983,x90983),x90981),f307(x90983,x90981))))
% 207.23/207.88 [9375]~P55(x93751,x93752)+~P1(f327(f327(f329(f921(x93751,x93751)),f327(f327(f252(x93751,x93751),x93753),x93753)),f327(f327(f289(x93751,x93751,x93751),x93752),f307(x93751,x93752))))
% 207.23/207.88 [9509]~E(f327(f327(f103(f922(f921(x95091,x95091),a910)),f327(f286(x95091,x95091),x95092)),f307(x95091,x95092)),f190(f922(f921(x95091,x95091),a910)))+~P1(f327(f327(f329(f921(x95091,x95091)),f327(f327(f252(x95091,x95091),x95093),x95093)),f327(f327(f289(x95091,x95091,x95091),x95092),f307(x95091,x95092))))
% 207.23/207.88 [9692]~P1(f327(f35(x96921),x96922))+P1(f327(f327(f234(a915),f327(f36(x96921),f327(f327(f23(f922(x96921,a910)),x96922),f327(f327(f309(x96921),x96923),f190(f922(x96921,a910)))))),f327(f36(x96921),x96922)))
% 207.23/207.88 [5222]~E(x52223,f114(x52221))+E(f145(x52221,f327(f327(f152(x52221),x52222),x52223)),x52222)
% 207.23/207.88 [5231]~E(x52313,f114(x52311))+E(f115(x52311,f327(f327(f152(x52311),x52312),x52313)),f114(x52311))
% 207.23/207.88 [5261]E(x52611,f114(x52612))+E(f145(x52612,f327(f327(f152(x52612),x52613),x52611)),f145(x52612,x52611))
% 207.23/207.88 [5263]E(x52631,f114(x52632))+E(f145(x52632,f327(f327(f135(x52632),x52633),x52631)),f145(x52632,x52631))
% 207.23/207.88 [5268]~E(x52683,f114(x52681))+E(f115(x52681,f327(f327(f135(x52681),x52682),x52683)),f115(x52681,x52682))
% 207.23/207.88 [5270]~E(x52703,f114(x52701))+E(f145(x52701,f327(f327(f135(x52701),x52702),x52703)),f145(x52701,x52702))
% 207.23/207.88 [5303]E(x53031,f114(x53032))+E(f327(f142(x53032),f327(f327(f135(x53032),x53031),x53033)),f327(f142(x53032),x53031))
% 207.23/207.88 [5331]~E(x53312,f114(x53311))+E(f327(f142(x53311),f327(f327(f135(x53311),x53312),x53313)),f327(f142(x53311),x53313))
% 207.23/207.88 [5382]~P108(x53821)+E(f327(f327(f238(x53821),x53822),f327(f327(f189(x53821),x53822),x53823)),x53822)
% 207.23/207.88 [5383]~P108(x53831)+E(f327(f327(f189(x53831),x53832),f327(f327(f238(x53831),x53832),x53833)),x53832)
% 207.23/207.88 [5384]~P96(x53841)+E(f327(f327(f102(x53841),x53842),f327(f327(f103(x53841),x53842),x53843)),x53842)
% 207.23/207.88 [5385]~P96(x53851)+E(f327(f327(f103(x53851),x53852),f327(f327(f102(x53851),x53852),x53853)),x53852)
% 207.23/207.88 [5404]~P58(x54041)+E(f46(x54041,f327(f327(f81(x54041),x54042),x54043),x54043),f2(x54041))
% 207.23/207.88 [5405]~P58(x54051)+E(f46(x54051,f327(f327(f81(x54051),x54052),x54053),x54052),f2(x54051))
% 207.23/207.88 [5478]~P67(x54781)+E(f327(f79(x54781),f327(f327(f23(x54781),x54782),x54783)),f327(f327(f23(x54781),x54783),x54782))
% 207.23/207.88 [5540]E(x55401,f114(x55402))+E(f115(x55402,f327(f327(f152(x55402),x55403),x55401)),f327(f327(f152(x55402),x55403),f115(x55402,x55401)))
% 207.23/207.88 [5541]E(x55411,f114(x55412))+E(f115(x55412,f327(f327(f135(x55412),x55413),x55411)),f327(f327(f135(x55412),x55413),f115(x55412,x55411)))
% 207.23/207.88 [5544]~P3(x55441)+E(f39(x55441,f327(f327(f309(x55441),x55442),x55443)),f327(f327(f103(x55441),x55442),f39(x55441,x55443)))
% 207.23/207.88 [5545]~P3(x55451)+E(f38(x55451,f327(f327(f309(x55451),x55452),x55453)),f327(f327(f102(x55451),x55452),f38(x55451,x55453)))
% 207.23/207.88 [5591]~P95(x55911)+E(f327(f327(f81(x55911),x55912),f327(f327(f81(x55911),x55912),x55913)),f327(f327(f81(x55911),x55912),x55913))
% 207.23/207.88 [5593]~P108(x55931)+E(f327(f327(f238(x55931),x55932),f327(f327(f238(x55931),x55932),x55933)),f327(f327(f238(x55931),x55932),x55933))
% 207.23/207.88 [5595]~P108(x55951)+E(f327(f327(f189(x55951),x55952),f327(f327(f189(x55951),x55952),x55953)),f327(f327(f189(x55951),x55952),x55953))
% 207.23/207.88 [5596]~P96(x55961)+E(f327(f327(f102(x55961),x55962),f327(f327(f102(x55961),x55962),x55963)),f327(f327(f102(x55961),x55962),x55963))
% 207.23/207.88 [5598]~P101(x55981)+E(f327(f327(f102(x55981),x55982),f327(f327(f102(x55981),x55982),x55983)),f327(f327(f102(x55981),x55982),x55983))
% 207.23/207.88 [5599]~P96(x55991)+E(f327(f327(f103(x55991),x55992),f327(f327(f103(x55991),x55992),x55993)),f327(f327(f103(x55991),x55992),x55993))
% 207.23/207.88 [5601]~P102(x56011)+E(f327(f327(f103(x56011),x56012),f327(f327(f103(x56011),x56012),x56013)),f327(f327(f103(x56011),x56012),x56013))
% 207.23/207.88 [5608]~P58(x56081)+E(f46(x56081,f327(f327(f80(x56081),x56082),x56083),x56083),f46(x56081,x56082,x56083))
% 207.23/207.88 [5609]~P58(x56091)+E(f46(x56091,f327(f327(f80(x56091),x56092),x56093),x56092),f46(x56091,x56093,x56092))
% 207.23/207.88 [5618]~P106(x56181)+E(f327(f327(f81(x56181),x56182),f327(f79(x56181),x56183)),f327(f79(x56181),f327(f327(f81(x56181),x56182),x56183)))
% 207.23/207.88 [5619]~P61(x56191)+E(f327(f327(f291(x56191),x56192),f327(f79(x56191),x56193)),f327(f79(x56191),f327(f327(f291(x56191),x56192),x56193)))
% 207.23/207.88 [5620]~P81(x56201)+E(f327(f327(f80(x56201),x56202),f327(f166(x56201),x56203)),f327(f166(x56201),f327(f327(f152(x56201),x56202),x56203)))
% 207.23/207.88 [5648]~P106(x56481)+E(f327(f327(f81(x56481),f327(f79(x56481),x56482)),x56483),f327(f327(f81(x56481),x56482),f327(f79(x56481),x56483)))
% 207.23/207.88 [5654]~P6(x56541,x56542,x56543)+E(f38(f922(x56541,a910),f327(f327(f61(x56541),x56542),x56543)),x56542)
% 207.23/207.88 [5721]~P116(x57211)+E(f327(f327(f81(x57211),x57212),f327(f327(f244(x57211),x57212),x57213)),f327(f327(f244(x57211),x57212),f327(a113,x57213)))
% 207.23/207.88 [5722]~P112(x57221)+E(f327(f327(f81(x57221),x57222),f327(f327(f244(x57221),x57222),x57223)),f327(f327(f244(x57221),x57222),f327(a113,x57223)))
% 207.23/207.88 [5732]~P74(x57321)+E(f327(f327(f80(x57321),f327(f79(x57321),x57322)),f327(f327(f80(x57321),x57322),x57323)),x57323)
% 207.23/207.88 [5755]~P146(x57551)+E(f327(f327(f244(x57551),f327(f101(x57551),x57552)),x57553),f327(f101(x57551),f327(f327(f244(a915),x57552),x57553)))
% 207.23/207.88 [5756]~P142(x57561)+E(f327(f327(f244(x57561),f327(f104(x57561),x57562)),x57563),f327(f104(x57561),f327(f327(f244(a1),x57562),x57563)))
% 207.23/207.88 [5762]~P84(x57621)+E(f327(f75(x57621),f327(f327(f23(x57621),x57622),x57623)),f327(f75(x57621),f327(f327(f23(x57621),x57623),x57622)))
% 207.23/207.88 [5764]~P119(x57641)+E(f327(f327(f81(x57641),f82(x57641,x57642)),f82(x57641,x57643)),f82(x57641,f327(f327(f81(x57641),x57642),x57643)))
% 207.23/207.88 [5768]E(x57681,f114(x57682))+E(f327(f327(f135(x57682),f327(f172(x57682),x57681)),x57683),f327(f172(x57682),f327(f327(f135(x57682),x57681),x57683)))
% 207.23/207.88 [5774]~E(x57742,f327(a113,f327(f327(f80(a915),x57741),x57743)))+P1(f327(f327(f235(a915),x57741),x57742))
% 207.23/207.88 [5775]~P106(x57751)+E(f327(f327(f81(x57751),f327(f79(x57751),x57752)),x57753),f327(f79(x57751),f327(f327(f81(x57751),x57752),x57753)))
% 207.23/207.88 [5776]~P122(x57761)+E(f327(f327(f291(x57761),f327(f79(x57761),x57762)),x57763),f327(f79(x57761),f327(f327(f291(x57761),x57762),x57763)))
% 207.23/207.88 [5777]~P119(x57771)+E(f327(f327(f244(x57771),f327(f75(x57771),x57772)),x57773),f327(f75(x57771),f327(f327(f244(x57771),x57772),x57773)))
% 207.23/207.88 [5875]E(f888(x58751,x58752,x58753),f896(x58751,x58752,x58753))+E(f327(f327(f103(f922(x58753,a910)),x58752),x58751),f190(f922(x58753,a910)))
% 207.23/207.88 [5890]~P68(x58902)+E(f327(f327(f6(x58901,x58902),f327(f16(x58902,x58901),f2(x58902))),x58903),f2(x58902))
% 207.23/207.88 [5891]~P75(x58912)+E(f327(f327(f9(x58911,x58912),f327(f16(x58912,x58911),f78(x58912))),x58913),f78(x58912))
% 207.23/207.88 [5893]~P146(x58931)+E(f327(f327(f80(x58931),f327(f101(x58931),x58932)),f327(f101(x58931),x58933)),f327(f101(x58931),f327(f327(f80(a915),x58932),x58933)))
% 207.23/207.88 [5894]~P146(x58941)+E(f327(f327(f81(x58941),f327(f101(x58941),x58942)),f327(f101(x58941),x58943)),f327(f101(x58941),f327(f327(f81(a915),x58942),x58943)))
% 207.23/207.88 [5895]~P142(x58951)+E(f327(f327(f23(x58951),f327(f104(x58951),x58952)),f327(f104(x58951),x58953)),f327(f104(x58951),f327(f327(f23(a1),x58952),x58953)))
% 207.23/207.88 [5896]~P142(x58961)+E(f327(f327(f80(x58961),f327(f104(x58961),x58962)),f327(f104(x58961),x58963)),f327(f104(x58961),f327(f327(f80(a1),x58962),x58963)))
% 207.23/207.88 [5897]~P142(x58971)+E(f327(f327(f81(x58971),f327(f104(x58971),x58972)),f327(f104(x58971),x58973)),f327(f104(x58971),f327(f327(f81(a1),x58972),x58973)))
% 207.23/207.88 [5898]~P93(x58981)+E(f327(f327(f23(x58981),f327(f105(x58981),x58982)),f327(f105(x58981),x58983)),f327(f105(x58981),f327(f327(f23(a1),x58982),x58983)))
% 207.23/207.88 [5901]~P93(x59011)+E(f327(f327(f80(x59011),f327(f105(x59011),x59012)),f327(f105(x59011),x59013)),f327(f105(x59011),f327(f327(f80(a1),x59012),x59013)))
% 207.23/207.88 [5902]~P93(x59021)+E(f327(f327(f81(x59021),f327(f105(x59021),x59022)),f327(f105(x59021),x59023)),f327(f105(x59021),f327(f327(f81(a1),x59022),x59023)))
% 207.23/207.88 [5950]~E(x59503,x59502)+P1(f327(f327(f234(f922(x59501,a910)),x59502),x59503))
% 207.23/207.88 [5956]~E(x59562,x59563)+P1(f327(f327(f234(f922(x59561,a910)),x59562),x59563))
% 207.23/207.88 [5961]~P74(x59611)+E(f327(f327(f80(x59611),f327(f79(x59611),x59612)),f327(f79(x59611),x59613)),f327(f79(x59611),f327(f327(f80(x59611),x59613),x59612)))
% 207.23/207.88 [5962]~P67(x59621)+E(f327(f327(f80(x59621),f327(f79(x59621),x59622)),f327(f79(x59621),x59623)),f327(f79(x59621),f327(f327(f80(x59621),x59622),x59623)))
% 207.23/207.88 [5963]~P76(x59631)+E(f327(f327(f189(x59631),f327(f79(x59631),x59632)),f327(f79(x59631),x59633)),f327(f79(x59631),f327(f327(f238(x59631),x59632),x59633)))
% 207.23/207.88 [5964]~P76(x59641)+E(f327(f327(f238(x59641),f327(f79(x59641),x59642)),f327(f79(x59641),x59643)),f327(f79(x59641),f327(f327(f189(x59641),x59642),x59643)))
% 207.23/207.88 [5965]~P86(x59651)+E(f327(f327(f103(x59651),f327(f79(x59651),x59652)),f327(f79(x59651),x59653)),f327(f79(x59651),f327(f327(f102(x59651),x59652),x59653)))
% 207.23/207.88 [5966]~P86(x59661)+E(f327(f327(f102(x59661),f327(f79(x59661),x59662)),f327(f79(x59661),x59663)),f327(f79(x59661),f327(f327(f103(x59661),x59662),x59663)))
% 207.23/207.88 [5967]~P119(x59671)+E(f327(f327(f81(x59671),f327(f75(x59671),x59672)),f327(f75(x59671),x59673)),f327(f75(x59671),f327(f327(f81(x59671),x59672),x59673)))
% 207.23/207.88 [5968]~P63(x59681)+E(f327(f327(f291(x59681),f327(f75(x59681),x59682)),f327(f75(x59681),x59683)),f327(f75(x59681),f327(f327(f291(x59681),x59682),x59683)))
% 207.23/207.88 [5969]~P81(x59691)+E(f327(f327(f80(x59691),f327(f166(x59691),x59692)),f327(f166(x59691),x59693)),f327(f166(x59691),f327(f327(f135(x59691),x59692),x59693)))
% 207.23/207.88 [5970]E(x59701,f190(f922(x59702,a910)))+~E(f327(f327(f102(f922(x59702,a910)),x59703),x59701),f190(f922(x59702,a910)))
% 207.23/207.88 [5971]E(x59711,f190(f922(x59712,a910)))+~E(f327(f327(f102(f922(x59712,a910)),x59711),x59713),f190(f922(x59712,a910)))
% 207.23/207.88 [5972]~P148(x59721,x59722,x59723)+P1(f327(x59721,f327(f327(f37(a1),x59722),x59723)))
% 207.23/207.88 [6028]~P1(f327(f35(x60281),x60283))+P1(f327(f35(x60281),f327(f327(f309(x60281),x60282),x60283)))
% 207.23/207.88 [6029]~P1(f327(f138(x60291),x60293))+P1(f327(f138(x60291),f327(f327(f176(x60291),x60292),x60293)))
% 207.23/207.88 [6030]~P1(f327(f138(x60301),x60303))+P1(f327(f138(x60301),f327(f327(f139(x60301),x60302),x60303)))
% 207.23/207.88 [6062]~P108(x60621)+P1(f327(f327(f234(x60621),x60622),f327(f327(f189(x60621),x60623),x60622)))
% 207.23/207.88 [6063]~P108(x60631)+P1(f327(f327(f234(x60631),x60632),f327(f327(f189(x60631),x60632),x60633)))
% 207.23/207.88 [6064]~P96(x60641)+P1(f327(f327(f234(x60641),x60642),f327(f327(f102(x60641),x60643),x60642)))
% 207.23/207.88 [6065]~P101(x60651)+P1(f327(f327(f234(x60651),x60652),f327(f327(f102(x60651),x60653),x60652)))
% 207.23/207.88 [6066]~P96(x60661)+P1(f327(f327(f234(x60661),x60662),f327(f327(f102(x60661),x60662),x60663)))
% 207.23/207.88 [6067]~P101(x60671)+P1(f327(f327(f234(x60671),x60672),f327(f327(f102(x60671),x60672),x60673)))
% 207.23/207.88 [6068]~P112(x60681)+P1(f327(f327(f287(x60681),x60682),f327(f327(f81(x60681),x60683),x60682)))
% 207.23/207.88 [6069]~P112(x60691)+P1(f327(f327(f287(x60691),x60692),f327(f327(f81(x60691),x60692),x60693)))
% 207.23/207.88 [6083]~E(x60831,f2(a915))+E(f327(f327(f37(a915),f327(f327(f81(a915),x60831),x60832)),f327(f327(f81(a915),x60831),x60833)),f2(a915))
% 207.23/207.88 [6164]~P93(x61641)+E(f327(f327(f23(x61641),f327(f105(x61641),x61642)),f327(f105(x61641),x61643)),f327(f105(x61641),f327(f327(f80(a1),x61642),f327(f79(a1),x61643))))
% 207.23/207.88 [6223]E(x62231,f2(a915))+E(f327(f327(f37(a915),f327(f327(f81(a915),x62231),x62232)),f327(f327(f81(a915),x62231),x62233)),f327(f327(f37(a915),x62232),x62233))
% 207.23/207.88 [6256]E(f153(x62561,f327(f327(f152(x62561),x62562),x62563)),f327(f327(f152(x62561),x62562),f153(x62561,x62563)))+P1(f327(f327(f329(x62561),x62562),f327(f173(x62561),x62563)))
% 207.23/207.88 [6293]P148(x62931,x62932,x62933)+~P1(f327(x62931,f327(f327(f37(a1),x62932),x62933)))
% 207.23/207.88 [6367]E(x63671,f114(x63672))+E(f327(f327(f152(x63672),f327(f142(x63672),x63671)),f327(f327(f176(x63672),x63673),f327(f172(x63672),x63671))),f327(f327(f176(x63672),f327(a113,x63673)),x63671))
% 207.23/207.88 [6375]E(f327(f327(f23(f922(x63751,a910)),x63752),x63753),x63752)+~E(f327(f327(f103(f922(x63751,a910)),x63752),x63753),f190(f922(x63751,a910)))
% 207.23/207.88 [6389]E(f153(x63891,f327(f327(f152(x63891),x63892),x63893)),f153(x63891,x63893))+~P1(f327(f327(f329(x63891),x63892),f327(f173(x63891),x63893)))
% 207.23/207.88 [6419]~P1(f327(f327(f234(a915),x64191),x64193))+P1(f327(f327(f234(a915),x64191),f327(f327(f80(a915),x64192),x64193)))
% 207.23/207.88 [6421]~P1(f327(f327(f234(a915),x64211),x64212))+P1(f327(f327(f234(a915),x64211),f327(f327(f80(a915),x64212),x64213)))
% 207.23/207.88 [6423]~P1(f327(f327(f235(a915),x64231),x64233))+P1(f327(f327(f235(a915),x64231),f327(f327(f80(a915),x64232),x64233)))
% 207.23/207.88 [6425]~P1(f327(f327(f235(a915),x64251),x64252))+P1(f327(f327(f235(a915),x64251),f327(f327(f80(a915),x64252),x64253)))
% 207.23/207.88 [6464]P1(f327(f35(x64641),x64642))+~P1(f327(f35(x64641),f327(f327(f309(x64641),x64643),x64642)))
% 207.23/207.88 [6465]P1(f327(f138(x64651),x64652))+~P1(f327(f138(x64651),f327(f327(f152(x64651),x64653),x64652)))
% 207.23/207.88 [6466]P1(f327(f138(x64661),x64662))+~P1(f327(f138(x64661),f327(f327(f135(x64661),x64663),x64662)))
% 207.23/207.88 [6467]P1(f327(f138(x64671),x64672))+~P1(f327(f138(x64671),f327(f327(f135(x64671),x64672),x64673)))
% 207.23/207.88 [6519]~P112(x65191)+E(f327(f327(f80(x65191),x65192),f327(f327(f81(x65191),x65193),x65192)),f327(f327(f81(x65191),f327(f327(f80(x65191),x65193),f78(x65191))),x65192))
% 207.23/207.88 [6566]~E(x65661,x65662)+~P1(f327(f327(f235(f922(x65663,a910)),x65661),x65662))
% 207.23/207.88 [6609]P1(f327(f327(f329(x66091),x66092),x66093))+P1(f327(f327(f329(x66091),x66092),f327(f79(f922(x66091,a910)),x66093)))
% 207.23/207.88 [6615]E(f145(x66151,f327(f327(f139(x66151),x66152),x66153)),f145(x66151,x66153))+~P1(f327(f327(f235(a915),x66152),f327(f191(f916(x66151)),x66153)))
% 207.23/207.88 [6616]E(f327(f327(f176(x66161),x66162),f115(x66161,x66163)),f327(f327(f176(x66161),x66162),x66163))+~P1(f327(f327(f235(a915),x66162),f327(f191(f916(x66161)),x66163)))
% 207.23/207.88 [6673]E(f327(f327(f327(f184(f916(x66731),f916(x66731)),x66732),f168(x66731)),x66733),x66733)+~E(f46(a915,x66732,f327(f191(f916(x66731)),x66733)),f2(a915))
% 207.23/207.88 [6680]~P6(x66801,x66803,x66802)+E(f327(f327(f289(x66801,x66801,x66801),f327(f286(x66801,x66801),x66802)),x66802),x66802)
% 207.23/207.88 [6723]~E(f327(f327(f102(f922(x67231,a910)),x67232),x67233),x67233)+P1(f327(f327(f234(f922(x67231,a910)),x67232),x67233))
% 207.23/207.88 [6728]~P52(x67281,x67281,x67283)+P52(x67281,x67281,f327(f327(f184(f921(x67281,x67281),a910),x67282),x67283))
% 207.23/207.88 [6731]~P1(f327(f327(f329(x67311),x67313),f327(f173(x67311),x67312)))+P1(f327(f327(f235(a915),f2(a915)),f327(f191(f916(x67311)),x67312)))
% 207.23/207.88 [6758]~P84(x67581)+E(f327(f75(x67581),f327(f327(f80(x67581),f327(f75(x67581),x67582)),f327(f75(x67581),x67583))),f327(f327(f80(x67581),f327(f75(x67581),x67582)),f327(f75(x67581),x67583)))
% 207.23/207.88 [6768]E(f327(f327(f37(a915),f327(f327(f81(a915),x67681),x67682)),f327(f327(f81(a915),x67681),x67683)),f327(f327(f37(a915),x67682),x67683))+~P1(f327(f327(f235(a915),f2(a915)),x67681))
% 207.23/207.88 [6908]~P1(f327(f35(x69081),x69083))+E(f327(f327(f64(x69081,f922(x69081,a910),f309(x69081)),x69082),x69083),f327(f327(f102(f922(x69081,a910)),x69083),x69082))
% 207.23/207.88 [6965]E(f327(f327(f102(f922(x69651,a910)),x69652),x69653),x69652)+~P1(f327(f327(f234(f922(x69651,a910)),x69653),x69652))
% 207.23/207.88 [6967]E(f327(f327(f102(f922(x69671,a910)),x69672),x69673),x69673)+~P1(f327(f327(f234(f922(x69671,a910)),x69672),x69673))
% 207.23/207.88 [6968]E(f327(f327(f103(f922(x69681,a910)),x69682),x69683),x69683)+~P1(f327(f327(f234(f922(x69681,a910)),x69683),x69682))
% 207.23/207.88 [6969]E(f327(f327(f103(f922(x69691,a910)),x69692),x69693),x69692)+~P1(f327(f327(f234(f922(x69691,a910)),x69692),x69693))
% 207.23/207.88 [7018]~P1(f327(f138(x70181),x70182))+E(f327(f327(f23(f922(x70181,a910)),f327(f173(x70181),x70182)),f327(f327(f309(x70181),x70183),f190(f922(x70181,a910)))),f327(f173(x70181),f171(x70181,x70183,x70182)))
% 207.23/207.88 [7073]P35(x70731,x70732)+~P35(x70731,f327(f327(f184(f921(x70731,x70731),a910),x70733),x70732))
% 207.23/207.88 [7090]~E(x70901,f2(a915))+P1(f327(f327(f287(a915),f327(f327(f81(a915),x70901),x70902)),f327(f327(f81(a915),x70901),x70903)))
% 207.23/207.88 [7139]P1(f327(f50(x71391,x71392),f327(a52,x71393)))+~P1(f327(f50(f327(f79(a1),x71391),f327(f79(a1),x71392)),x71393))
% 207.23/207.88 [7144]E(f327(f327(f23(f922(x71441,a910)),f327(f327(f309(x71441),x71442),x71443)),f327(f327(f309(x71441),x71442),f190(f922(x71441,a910)))),x71443)+P1(f327(f327(f329(x71441),x71442),x71443))
% 207.23/207.88 [7167]E(f327(f327(f103(f922(x71671,a910)),f327(f173(x71671),x71672)),f327(f173(x71671),x71673)),f190(f922(x71671,a910)))+~P1(f327(f138(x71671),f327(f327(f135(x71671),x71672),x71673)))
% 207.23/207.88 [7182]~P1(f327(f327(f329(x71821),x71822),f327(f173(x71821),x71823)))+~P1(f327(f138(x71821),f327(f327(f152(x71821),x71822),x71823)))
% 207.23/207.88 [7254]P29(x72541,x72542,x72543)+P1(f327(f327(f235(a915),f754(x72543,x72542,x72541)),f327(f191(f916(x72541)),x72543)))
% 207.23/207.88 [7264]E(f327(f327(f103(f922(x72641,a910)),x72642),x72643),f190(f922(x72641,a910)))+P1(f327(f327(f329(x72641),f888(x72643,x72642,x72641)),x72642))
% 207.23/207.88 [7265]E(f327(f327(f103(f922(x72651,a910)),x72652),x72653),f190(f922(x72651,a910)))+P1(f327(f327(f329(x72651),f896(x72653,x72652,x72651)),x72653))
% 207.23/207.88 [7268]E(f115(x72681,f327(f327(f176(x72681),x72682),x72683)),f327(f327(f176(x72681),f327(f327(f23(a915),x72682),f78(a915))),x72683))+~P1(f327(f327(f234(a915),x72682),f327(f191(f916(x72681)),x72683)))
% 207.23/207.88 [7328]~P31(x73283,x73282,x73281)+P1(f327(f327(f235(a915),f749(x73281,x73282,x73283)),f327(f191(f916(x73283)),x73281)))
% 207.23/207.88 [7348]P1(f327(f327(f235(a915),f2(a915)),x73481))+P1(f327(f327(f234(a915),f327(f327(f81(a915),x73482),x73481)),f327(f327(f81(a915),x73483),x73481)))
% 207.23/207.88 [7349]P1(f327(f327(f235(a915),f2(a915)),x73491))+P1(f327(f327(f234(a915),f327(f327(f81(a915),x73491),x73492)),f327(f327(f81(a915),x73491),x73493)))
% 207.23/207.88 [7352]~P1(f327(f327(f329(x73521),x73522),x73523))+~P1(f327(f327(f329(x73521),x73522),f327(f79(f922(x73521,a910)),x73523)))
% 207.23/207.88 [7358]~P1(f327(f327(f235(f922(x73581,a910)),x73582),x73583))+P1(f327(f327(f234(f922(x73581,a910)),x73582),x73583))
% 207.23/207.88 [7466]~P1(f327(f327(f234(a915),x74663),x74662))+P1(f327(f327(f234(a915),f327(f327(f23(a915),x74661),x74662)),f327(f327(f23(a915),x74661),x74663)))
% 207.23/207.88 [7467]~P1(f327(f327(f234(a915),x74671),x74673))+P1(f327(f327(f234(a915),f327(f327(f23(a915),x74671),x74672)),f327(f327(f23(a915),x74673),x74672)))
% 207.23/207.88 [7468]~P1(f327(f327(f234(a915),x74682),x74683))+P1(f327(f327(f234(a915),f327(f327(f80(a915),x74681),x74682)),f327(f327(f80(a915),x74681),x74683)))
% 207.23/207.88 [7469]~P1(f327(f327(f234(a915),x74691),x74693))+P1(f327(f327(f234(a915),f327(f327(f80(a915),x74691),x74692)),f327(f327(f80(a915),x74693),x74692)))
% 207.23/207.88 [7471]~P1(f327(f327(f234(a915),x74712),x74713))+P1(f327(f327(f234(a915),f327(f327(f81(a915),x74711),x74712)),f327(f327(f81(a915),x74711),x74713)))
% 207.23/207.88 [7473]~P1(f327(f327(f234(a915),x74731),x74733))+P1(f327(f327(f234(a915),f327(f327(f81(a915),x74731),x74732)),f327(f327(f81(a915),x74733),x74732)))
% 207.23/207.88 [7474]~P1(f327(f327(f234(a915),x74741),x74743))+P1(f327(f327(f234(a915),f327(f327(f37(a915),x74741),x74742)),f327(f327(f37(a915),x74743),x74742)))
% 207.23/207.88 [7475]~P1(f327(f327(f234(a1),x74752),x74753))+P1(f327(f327(f234(a1),f327(f327(f80(a1),x74751),x74752)),f327(f327(f80(a1),x74751),x74753)))
% 207.23/207.88 [7478]~P1(f327(f327(f235(a915),x74782),x74783))+P1(f327(f327(f235(a915),f327(f327(f80(a915),x74781),x74782)),f327(f327(f80(a915),x74781),x74783)))
% 207.23/207.88 [7479]~P1(f327(f327(f235(a915),x74791),x74793))+P1(f327(f327(f235(a915),f327(f327(f80(a915),x74791),x74792)),f327(f327(f80(a915),x74793),x74792)))
% 207.23/207.88 [7480]~P1(f327(f327(f235(a1),x74801),x74803))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x74801),x74802)),f327(f327(f80(a1),x74803),x74802)))
% 207.23/207.88 [7483]~P1(f327(f327(f287(a915),x74832),x74833))+P1(f327(f327(f287(a915),f327(f327(f81(a915),x74831),x74832)),f327(f327(f81(a915),x74831),x74833)))
% 207.23/207.88 [7559]E(x75591,x75592)+~P1(f327(f327(f329(x75593),x75591),f327(f327(f309(x75593),x75592),f190(f922(x75593,a910)))))
% 207.23/207.88 [7561]~E(f327(f327(f103(f922(x75611,a910)),x75612),x75613),f190(f922(x75611,a910)))+P1(f327(f327(f234(f922(x75611,a910)),x75612),f327(f79(f922(x75611,a910)),x75613)))
% 207.23/207.88 [7566]P1(f327(f327(f329(f922(x75661,a910)),x75662),f327(f308(x75661),x75663)))+~P1(f327(f327(f234(f922(x75661,a910)),x75662),x75663))
% 207.23/207.88 [7616]E(f327(f327(f152(x76161),f327(f327(f165(x76161),x76162),x76163)),f327(f327(f139(x76161),f327(a113,x76163)),x76162)),f327(f327(f139(x76161),x76163),x76162))+~P1(f327(f327(f235(a915),x76163),f327(f191(f916(x76161)),x76162)))
% 207.23/207.88 [7642]P1(f327(f327(f329(f921(x76421,x76421)),x76422),f307(x76421,x76423)))+~P1(f327(f327(f329(f921(x76421,x76421)),x76422),x76423))
% 207.23/207.88 [7651]~P1(f327(f327(f329(f922(x76511,a910)),x76512),f327(f308(x76511),x76513)))+P1(f327(f327(f234(f922(x76511,a910)),x76512),x76513))
% 207.23/207.88 [7694]P1(f327(f327(f234(f922(x76941,a910)),x76942),f38(f922(x76941,a910),x76943)))+~P1(f327(f327(f329(f922(x76941,a910)),x76942),x76943))
% 207.23/207.88 [7718]~P142(x77181)+E(f327(f327(f81(x77181),f327(f327(f244(x77181),f327(f79(x77181),f78(x77181))),x77182)),f327(f327(f244(x77181),x77183),x77182)),f327(f327(f244(x77181),f327(f79(x77181),x77183)),x77182))
% 207.23/207.88 [7740]E(f327(f327(f165(x77401),x77402),f327(f327(f23(a915),f327(f191(f916(x77401)),x77402)),f327(a113,x77403))),f327(f327(f165(x77401),f327(f169(x77401),x77402)),x77403))+~P1(f327(f327(f235(a915),x77403),f327(f191(f916(x77401)),x77402)))
% 207.23/207.88 [7757]~E(f327(f327(f103(f922(x77571,a910)),f470(x77573,x77572,x77571)),x77573),f190(f922(x77571,a910)))+E(f327(f327(f103(f922(x77571,a910)),f38(f922(x77571,a910),x77572)),x77573),f190(f922(x77571,a910)))
% 207.23/207.88 [7821]~P1(f327(f327(f329(x78213),x78212),f327(f173(x78213),x78211)))+P1(f327(f327(f235(a915),f629(x78211,x78212,x78213)),f327(f191(f916(x78213)),x78211)))
% 207.23/207.88 [7829]P1(f327(f327(f329(x78291),f327(f327(f165(x78291),x78292),x78293)),f327(f173(x78291),x78292)))+~P1(f327(f327(f235(a915),x78293),f327(f191(f916(x78291)),x78292)))
% 207.23/207.88 [7926]~P1(f327(x79262,f714(x79263,x79262,x79261)))+E(f327(f327(f139(x79261),f327(f191(f916(x79261)),f178(x79261,x79262,x79263))),x79263),f114(x79261))
% 207.23/207.88 [7939]P1(f327(f327(f234(f922(f916(x79391),a910)),f162(x79391,x79392)),f162(x79391,x79393)))+~P1(f327(f327(f234(f922(x79391,a910)),x79392),x79393))
% 207.23/207.88 [7940]P1(f327(f327(f234(f922(f916(x79401),a910)),f161(x79401,x79402)),f161(x79401,x79403)))+~P1(f327(f327(f234(f922(x79401,a910)),x79402),x79403))
% 207.23/207.88 [7966]E(f327(f327(f103(f922(x79661,a910)),f38(f922(x79661,a910),x79662)),x79663),f190(f922(x79661,a910)))+P1(f327(f327(f329(f922(x79661,a910)),f470(x79663,x79662,x79661)),x79662))
% 207.23/207.88 [7968]~P1(f327(f327(f329(f922(x79681,a910)),x79683),x79682))+P1(f327(f327(f234(f922(x79681,a910)),f39(f922(x79681,a910),x79682)),x79683))
% 207.23/207.88 [7970]E(f327(f327(f103(f922(x79701,a910)),x79702),x79703),f190(f922(x79701,a910)))+~P1(f327(f327(f234(f922(x79701,a910)),x79702),f327(f79(f922(x79701,a910)),x79703)))
% 207.23/207.88 [8018]E(f327(f327(f23(a915),f327(f327(f80(a915),f327(f166(a915),x80181)),x80182)),f327(f327(f165(a915),x80181),x80183)),f327(f166(a915),f327(f327(f160(a915,x80181),x80183),x80182)))+~P1(f327(f327(f235(a915),x80183),f327(f191(f916(a915)),x80181)))
% 207.23/207.88 [8069]P1(f327(f327(f234(a915),x80691),x80692))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),x80693),x80691)),f327(f327(f80(a915),x80693),x80692)))
% 207.23/207.88 [8072]P1(f327(f327(f235(a915),x80721),x80722))+~P1(f327(f327(f235(a915),f327(f327(f80(a915),x80723),x80721)),f327(f327(f80(a915),x80723),x80722)))
% 207.23/207.88 [8073]P1(f327(f327(f235(a915),x80731),x80732))+~P1(f327(f327(f235(a915),f327(f327(f81(a915),x80733),x80731)),f327(f327(f81(a915),x80733),x80732)))
% 207.23/207.88 [8074]P1(f327(f327(f235(a915),x80741),x80742))+~P1(f327(f327(f235(a915),f327(f327(f81(a915),x80741),x80743)),f327(f327(f81(a915),x80742),x80743)))
% 207.23/207.88 [8103]P1(f327(f327(f235(a915),f2(a915)),x81031))+~P1(f327(f327(f235(a915),f327(f327(f81(a915),x81032),x81031)),f327(f327(f81(a915),x81033),x81031)))
% 207.23/207.88 [8104]P1(f327(f327(f235(a915),f2(a915)),x81041))+~P1(f327(f327(f235(a915),f327(f327(f81(a915),x81041),x81042)),f327(f327(f81(a915),x81041),x81043)))
% 207.23/207.88 [8177]E(f247(x81771,x81772,x81773),x81772)+~P1(f327(f327(f234(f922(x81771,a910)),x81773),f327(f327(f309(x81771),x81772),f190(f922(x81771,a910)))))
% 207.23/207.88 [8227]~P1(f327(f138(x82271),x82273))+E(f327(f137(x82271,f327(f327(f8(a910,a910,x82271),a322),f327(a324,x82272))),x82273),f171(x82271,x82272,x82273))
% 207.23/207.88 [8252]E(f327(f327(f139(x82521),f327(f191(f916(x82521)),f178(x82521,x82522,x82523))),x82523),f114(x82521))+P1(f327(f327(f329(x82521),f714(x82523,x82522,x82521)),f327(f173(x82521),x82523)))
% 207.23/207.88 [8256]E(f327(f327(f135(x82561),f327(f327(f176(x82561),x82562),x82563)),f327(f327(f152(x82561),f327(f327(f165(x82561),x82563),x82562)),f114(x82561))),f327(f327(f176(x82561),f327(a113,x82562)),x82563))+~P1(f327(f327(f235(a915),x82562),f327(f191(f916(x82561)),x82563)))
% 207.23/207.88 [8323]E(f327(f137(x83231,f327(f327(f8(a910,a910,x83231),a322),f327(a324,x83232))),x83233),x83233)+P1(f327(f327(f329(x83231),x83232),f327(f173(x83231),x83233)))
% 207.23/207.88 [8329]P1(f327(f327(f234(f922(f922(x83291,a910),a910)),f248(x83291,x83292)),f248(x83291,x83293)))+~P1(f327(f327(f234(f922(x83291,a910)),x83292),x83293))
% 207.23/207.88 [8368]~P1(f327(f138(x83681),x83683))+P1(f327(f138(x83681),f327(f327(f327(f184(f916(x83681),f916(x83681)),x83682),f168(x83681)),x83683)))
% 207.23/207.88 [8374]~P1(f327(f327(f235(a915),x83742),x83743))+P1(f327(f327(f235(a915),f327(f327(f81(a915),f327(a113,x83741)),x83742)),f327(f327(f81(a915),f327(a113,x83741)),x83743)))
% 207.23/207.88 [8394]P1(f327(f327(f234(f922(f922(x83941,a910),a910)),f327(f308(x83941),x83942)),f327(f308(x83941),x83943)))+~P1(f327(f327(f234(f922(x83941,a910)),x83942),x83943))
% 207.23/207.88 [8463]~E(f327(f310(x84631,x84632,x84633),f242(f922(x84631,a910))),f242(f922(x84632,a910)))+E(f327(f72(x84631,x84632,x84632,x84633),f92(x84631,x84632,f242(f922(x84631,a910)),x84633)),f31(x84632))
% 207.23/207.88 [8556]~P1(f327(f327(f234(f922(x85561,a910)),x85563),x85562))+P1(f327(f327(f234(f922(x85561,a910)),f327(f79(f922(x85561,a910)),x85562)),f327(f79(f922(x85561,a910)),x85563)))
% 207.23/207.88 [8590]E(f327(f310(a915,a915,f327(f327(f7(a915,a915,a915),f23(a915)),x85901)),f327(f302(a915,x85902),x85903)),f327(f302(a915,f327(f327(f23(a915),x85902),x85901)),f327(f327(f23(a915),x85903),x85901)))+~P1(f327(f327(f235(a915),x85901),x85903))
% 207.23/207.88 [8616]~P81(x86161)+E(f327(f327(f80(x86161),x86162),f327(f143(x86161,x86161,f80(x86161),f2(x86161)),x86163)),f327(f143(x86161,x86161,f80(x86161),x86162),x86163))
% 207.23/207.88 [8692]~P84(x86921)+P1(f327(f327(f234(x86921),f327(f75(x86921),f327(f327(f23(x86921),x86922),x86923))),f327(f327(f80(x86921),f327(f75(x86921),x86922)),f327(f75(x86921),x86923))))
% 207.23/207.88 [8693]~P84(x86931)+P1(f327(f327(f234(x86931),f327(f75(x86931),f327(f327(f80(x86931),x86932),x86933))),f327(f327(f80(x86931),f327(f75(x86931),x86932)),f327(f75(x86931),x86933))))
% 207.23/207.88 [8704]E(f327(f327(f80(a1),f327(f327(f81(a1),x87041),f46(a1,f327(f327(f37(a1),x87042),x87041),x87043))),f46(a1,x87042,x87041)),f46(a1,x87042,f327(f327(f81(a1),x87041),x87043)))+~P1(f327(f327(f235(a1),f2(a1)),x87043))
% 207.23/207.88 [8710]E(f327(f327(f135(x87101),f327(f327(f176(x87101),x87102),x87103)),f327(f327(f152(x87101),f327(f142(x87101),f327(f327(f139(x87101),x87102),x87103))),f114(x87101))),f327(f327(f176(x87101),f327(a113,x87102)),x87103))+~P1(f327(f327(f235(a915),x87102),f327(f191(f916(x87101)),x87103)))
% 207.23/207.88 [8730]E(f327(f268(x87301,f327(f327(f155(x87301,f921(a100,x87301)),f327(f252(a100,x87301),f78(a100))),x87302)),f327(a3,x87303)),f327(f327(f165(x87301),x87302),x87303))+~P1(f327(f327(f235(a915),x87303),f327(f191(f916(x87301)),x87302)))
% 207.23/207.88 [8798]P1(f327(f327(f329(f921(x87981,x87981)),x87982),f327(f327(f289(x87981,x87981,x87981),x87983),f307(x87981,x87983))))+~P1(f327(f327(f329(f921(x87981,x87981)),x87982),x87983))
% 207.23/207.88 [8809]E(f327(f310(x88091,x88092,x88093),f242(f922(x88091,a910))),f242(f922(x88092,a910)))+~E(f327(f72(x88091,x88092,x88092,x88093),f92(x88091,x88092,f242(f922(x88091,a910)),x88093)),f31(x88092))
% 207.23/207.88 [8818]P1(f327(f327(f234(a915),x88181),x88182))+~P1(f327(f327(f234(a915),f327(f327(f81(a915),f327(a113,x88183)),x88181)),f327(f327(f81(a915),f327(a113,x88183)),x88182)))
% 207.23/207.88 [8834]P1(f327(f327(f234(f922(x88341,a910)),x88342),x88343))+~P1(f327(f327(f234(f922(x88341,a910)),f327(f79(f922(x88341,a910)),x88343)),f327(f79(f922(x88341,a910)),x88342)))
% 207.23/207.88 [8857]P1(f327(f138(x88571),x88572))+~P1(f327(f138(x88571),f327(f327(f327(f184(f916(x88571),f916(x88571)),x88573),f168(x88571)),x88572)))
% 207.23/207.88 [8930]E(f327(f285(x89301,x89301,f307(x89301,x89302)),x89303),x89303)+~P1(f327(f327(f234(f922(x89301,a910)),f327(f285(x89301,x89301,x89302),x89303)),x89303))
% 207.23/207.88 [8978]~P108(x89781)+P11(x89781,f327(f137(x89781,f327(f327(f7(x89781,x89781,a910),a324),f327(x89782,x89783))),x89783))
% 207.23/207.88 [8985]~P1(f327(f327(f234(a915),x89851),x89852))+P1(f327(f327(f234(a915),x89851),f327(f143(a915,a915,f80(a915),x89852),x89853)))
% 207.23/207.88 [9071]~P1(f327(f327(f329(f921(x90711,x90711)),x90712),f307(x90711,x90713)))+P1(f327(f327(f329(f921(x90711,x90711)),x90712),f327(f327(f184(f921(x90711,x90711),a910),f605(x90713,x90712,x90711)),x90713)))
% 207.23/207.88 [9156]~P81(x91561)+E(f327(f327(f80(x91561),x91562),f327(f143(x91561,x91561,f327(f7(x91561,x91561,x91561),f80(x91561)),f2(x91561)),f327(f169(x91561),x91563))),f327(f143(x91561,x91561,f80(x91561),x91562),x91563))
% 207.23/207.88 [9273]~P24(x92732,x92731,x92733,f242(f922(x92732,a910)),f242(f922(x92731,a910)))+E(f92(x92731,x92732,f242(f922(x92731,a910)),f92(x92732,x92731,f242(f922(x92732,a910)),x92733)),x92733)
% 207.23/207.88 [9425]P52(x94251,x94252,x94253)+P1(f327(f327(f329(f921(x94251,x94252)),f327(f327(f252(x94251,x94252),f601(x94253,x94252,x94251)),f587(x94253,x94252,x94251))),x94253))
% 207.23/207.88 [9426]P52(x94261,x94262,x94263)+P1(f327(f327(f329(f921(x94261,x94262)),f327(f327(f252(x94261,x94262),f601(x94263,x94262,x94261)),f586(x94263,x94262,x94261))),x94263))
% 207.23/207.88 [9494]~P1(f327(f327(f329(f921(x94941,x94941)),x94942),f327(f327(f289(x94941,x94941,x94941),x94943),f307(x94941,x94943))))+P1(f327(f327(f329(f921(x94941,x94941)),x94942),f327(f327(f184(f921(x94941,x94941),a910),f606(x94943,x94942,x94941)),x94943)))
% 207.23/207.88 [9495]~P1(f327(x94951,f327(f327(f165(x94952),x94953),f327(f191(f916(x94952)),f178(x94952,x94951,x94953)))))+~P1(f327(f327(f235(a915),f327(f191(f916(x94952)),f178(x94952,x94951,x94953))),f327(f191(f916(x94952)),x94953)))
% 207.23/207.88 [9586]~P1(f327(f327(f234(f922(x95861,a910)),x95862),x95863))+P1(f327(f327(f234(f922(x95861,a910)),f327(f327(f7(x95861,f922(x95861,a910),a910),f329(x95861)),x95862)),f327(f327(f7(x95861,f922(x95861,a910),a910),f329(x95861)),x95863)))
% 207.23/207.88 [9643]~P1(f327(f327(f329(f921(f922(x96431,a910),f922(x96431,a910))),f327(f327(f252(f922(x96431,a910),f922(x96431,a910)),x96432),x96433)),f314(x96431)))+P1(f327(f327(f235(f922(x96431,a910)),x96432),x96433))
% 207.23/207.88 [9667]P53(x96671,x96672,x96673)+~P1(f327(f327(f329(f921(x96671,x96671)),f327(f327(f252(x96671,x96671),f604(x96673,x96672,x96671)),f603(x96673,x96672,x96671))),x96673))
% 207.23/207.88 [9668]P53(x96681,x96682,x96683)+~P1(f327(f327(f329(f921(x96681,x96681)),f327(f327(f252(x96681,x96681),f603(x96683,x96682,x96681)),f604(x96683,x96682,x96681))),x96683))
% 207.23/207.88 [9707]~P1(f327(f327(f329(f921(f916(x97071),f916(x97071))),f327(f327(f252(f916(x97071),f916(x97071)),x97072),x97072)),f148(x97071,x97073)))+P1(f327(f327(f329(f921(x97071,x97071)),f327(f327(f252(x97071,x97071),f644(x97072,x97073,x97071)),f644(x97072,x97073,x97071))),x97073))
% 207.23/207.88 [9757]P1(f327(f327(f234(f922(x97571,a910)),x97572),x97573))+~P1(f327(f327(f234(f922(x97571,a910)),f327(f327(f7(x97571,f922(x97571,a910),a910),f329(x97571)),x97572)),f327(f327(f7(x97571,f922(x97571,a910),a910),f329(x97571)),x97573)))
% 207.23/207.88 [9838]E(f327(f327(f23(a915),f327(f327(f6(a915,a915),x98381),f327(f282(a915),x98382))),f327(f327(f6(a915,a915),x98383),f327(f282(a915),x98382))),f327(f327(f6(a915,a915),f327(f327(f18(a915,a915,a915),f327(f327(f8(a915,f922(a915,a915),a915),f23(a915)),x98381)),x98383)),f327(f282(a915),x98382)))+~P1(f327(f327(f234(a915),f327(x98383,f415(x98382,x98381,x98383))),f327(x98381,f415(x98382,x98381,x98383))))
% 207.23/207.88 [5811]~P74(x58111)+E(f327(f327(f23(x58111),f327(f327(f80(x58111),x58112),x58113)),x58113),x58112)
% 207.23/207.88 [5812]~P74(x58121)+E(f327(f327(f80(x58121),f327(f327(f23(x58121),x58122),x58123)),x58123),x58122)
% 207.23/207.88 [6037]~P74(x60371)+E(f327(f327(f80(x60371),x60372),f327(f327(f80(x60371),f327(f79(x60371),x60372)),x60373)),x60373)
% 207.23/207.88 [6125]~P80(x61251)+E(f327(f327(f81(x61251),f327(f327(f244(x61251),x61252),x61253)),x61252),f327(f327(f244(x61251),x61252),f327(a113,x61253)))
% 207.23/207.88 [6126]~P112(x61261)+E(f327(f327(f81(x61261),f327(f327(f244(x61261),x61262),x61263)),x61262),f327(f327(f244(x61261),x61262),f327(a113,x61263)))
% 207.23/207.88 [6351]~P119(x63511)+E(f327(f75(x63511),f327(f327(f244(x63511),f327(f79(x63511),x63512)),x63513)),f327(f75(x63511),f327(f327(f244(x63511),x63512),x63513)))
% 207.23/207.88 [6397]~P80(x63971)+E(f327(f327(f81(x63971),f327(f327(f244(x63971),x63972),x63973)),x63972),f327(f327(f81(x63971),x63972),f327(f327(f244(x63971),x63972),x63973)))
% 207.23/207.88 [6455]E(f327(f327(f23(a100),f327(f327(f80(a100),x64551),x64552)),x64553),f274(x64551,x64552,x64553))+~P1(f327(f327(f235(a100),x64552),x64553))
% 207.23/207.88 [6479]~E(f327(f327(f139(x64791),x64793),x64792),f114(x64791))+P1(f327(f327(f234(a915),f327(f191(f916(x64791)),x64792)),x64793))
% 207.23/207.88 [6614]E(f327(f327(f81(a915),f327(f105(a915),x66141)),f327(f327(f81(a915),f327(f105(a915),x66142)),x66143)),f2(a915))+~P1(f327(f327(f235(a1),x66141),a83))
% 207.23/207.88 [6630]~P61(x66301)+E(f327(f327(f244(x66301),f327(f327(f291(x66301),f78(x66301)),x66302)),x66303),f327(f327(f291(x66301),f78(x66301)),f327(f327(f244(x66301),x66302),x66303)))
% 207.23/207.88 [6709]E(f327(f327(f23(a915),f327(f327(f80(a915),x67091),x67092)),x67093),f327(f327(f23(a915),x67091),f327(f327(f23(a915),x67093),x67092)))+~P1(f327(f327(f234(a915),x67092),x67093))
% 207.23/207.88 [6711]E(f327(f327(f23(a915),f327(f327(f80(a915),x67111),x67112)),x67113),f327(f327(f80(a915),x67111),f327(f327(f23(a915),x67112),x67113)))+~P1(f327(f327(f234(a915),x67113),x67112))
% 207.23/207.88 [6749]~P108(x67491)+P1(f327(f327(f234(x67491),f327(f327(f238(x67491),x67492),x67493)),x67493))
% 207.23/207.88 [6750]~P108(x67501)+P1(f327(f327(f234(x67501),f327(f327(f238(x67501),x67502),x67503)),x67502))
% 207.23/207.88 [6751]~P96(x67511)+P1(f327(f327(f234(x67511),f327(f327(f103(x67511),x67512),x67513)),x67513))
% 207.23/207.88 [6752]~P102(x67521)+P1(f327(f327(f234(x67521),f327(f327(f103(x67521),x67522),x67523)),x67523))
% 207.23/207.88 [6753]~P96(x67531)+P1(f327(f327(f234(x67531),f327(f327(f103(x67531),x67532),x67533)),x67532))
% 207.23/207.88 [6754]~P102(x67541)+P1(f327(f327(f234(x67541),f327(f327(f103(x67541),x67542),x67543)),x67542))
% 207.23/207.88 [6767]E(f327(f327(f37(a1),f327(f327(f37(a1),x67671),x67672)),x67673),f327(f327(f37(a1),x67671),f327(f327(f81(a1),x67672),x67673)))+~P1(f327(f327(f235(a1),f2(a1)),x67673))
% 207.23/207.88 [6819]~P112(x68191)+E(f327(f327(f80(x68191),f327(f327(f81(x68191),x68192),x68193)),x68193),f327(f327(f81(x68191),f327(f327(f80(x68191),x68192),f78(x68191))),x68193))
% 207.23/207.88 [6820]~P93(x68201)+E(f327(f327(f81(x68201),f327(f79(x68201),f327(f105(x68201),x68202))),x68203),f327(f327(f81(x68201),f327(f105(x68201),f327(f79(a1),x68202))),x68203))
% 207.23/207.88 [6892]~P81(x68921)+E(f327(f166(x68921),f327(f327(f155(x68922,x68921),f327(f16(x68921,x68922),f2(x68921))),x68923)),f2(x68921))
% 207.23/207.88 [6910]E(f327(f327(f80(a915),f327(f105(a915),x69101)),f327(f327(f80(a915),f327(f105(a915),x69102)),x69103)),f327(f327(f80(a915),f327(f105(a915),x69102)),x69103))+~P1(f327(a195,f327(f105(a1),x69101)))
% 207.23/207.88 [6925]~P3(x69251)+E(f39(x69251,f327(f327(f309(x69251),x69252),f327(f327(f309(x69251),x69253),f190(f922(x69251,a910))))),f327(f327(f103(x69251),x69252),x69253))
% 207.23/207.88 [6926]~P3(x69261)+E(f38(x69261,f327(f327(f309(x69261),x69262),f327(f327(f309(x69261),x69263),f190(f922(x69261,a910))))),f327(f327(f102(x69261),x69262),x69263))
% 207.23/207.88 [6948]E(f327(f327(f176(x69481),x69482),x69483),x69483)+~P1(f327(f327(f234(a915),f327(f191(f916(x69481)),x69483)),x69482))
% 207.23/207.88 [6960]E(f327(f327(f139(x69601),x69602),x69603),f114(x69601))+~P1(f327(f327(f234(a915),f327(f191(f916(x69601)),x69603)),x69602))
% 207.23/207.88 [6971]E(f327(f327(f80(a915),f327(f327(f23(a915),x69711),x69712)),x69713),f327(f327(f23(a915),f327(f327(f80(a915),x69711),x69713)),x69712))+~P1(f327(f327(f234(a915),x69712),x69711))
% 207.23/207.88 [6985]~P1(f327(f327(f235(a915),x69851),x69853))+P1(f327(f327(f235(a915),f327(f327(f23(a915),x69851),x69852)),x69853))
% 207.23/207.88 [7012]~P108(x70121)+E(f171(x70121,x70122,f327(f327(f149(x70121,x70121,f5(x70121)),x70122),x70123)),x70123)
% 207.23/207.88 [7103]E(f327(f327(f23(a915),f327(f327(f80(a915),x71031),x71032)),f327(a113,x71033)),f327(f327(f23(a915),x71031),f327(a113,f327(f327(f23(a915),x71033),x71032))))+~P1(f327(f327(f234(a915),x71032),x71033))
% 207.23/207.88 [7104]~P119(x71041)+P1(f327(f327(f234(x71041),f2(x71041)),f327(f327(f244(x71041),f327(f75(x71041),x71042)),x71043)))
% 207.23/207.88 [7151]P22(x71511,x71512,x71513)+~P1(f327(f327(f234(f922(f913(x71511),a910)),x71513),x71512))
% 207.23/207.88 [7193]~P1(f327(f35(x71931),x71932))+P1(f327(f35(x71931),f327(f327(f23(f922(x71931,a910)),x71932),x71933)))
% 207.23/207.88 [7194]~P1(f327(f35(x71941),x71943))+P1(f327(f35(x71941),f327(f327(f103(f922(x71941,a910)),x71942),x71943)))
% 207.23/207.88 [7195]~P1(f327(f35(x71951),x71952))+P1(f327(f35(x71951),f327(f327(f103(f922(x71951,a910)),x71952),x71953)))
% 207.23/207.88 [7338]~P35(x73381,x73383)+P35(x73381,f327(f327(f103(f922(f921(x73381,x73381),a910)),x73382),x73383))
% 207.23/207.88 [7339]~P35(x73391,x73392)+P35(x73391,f327(f327(f103(f922(f921(x73391,x73391),a910)),x73392),x73393))
% 207.23/207.88 [7462]~P108(x74621)+E(f14(x74621,f327(f173(x74621),f327(f327(f152(x74621),x74622),x74623))),f327(f143(x74621,x74621,f189(x74621),x74622),x74623))
% 207.23/207.88 [7463]~P108(x74631)+E(f15(x74631,f327(f173(x74631),f327(f327(f152(x74631),x74632),x74633))),f327(f143(x74631,x74631,f238(x74631),x74632),x74633))
% 207.23/207.88 [7464]~P96(x74641)+E(f13(x74641,f327(f173(x74641),f327(f327(f152(x74641),x74642),x74643))),f327(f143(x74641,x74641,f102(x74641),x74642),x74643))
% 207.23/207.88 [7465]~P96(x74651)+E(f10(x74651,f327(f173(x74651),f327(f327(f152(x74651),x74652),x74653))),f327(f143(x74651,x74651,f103(x74651),x74652),x74653))
% 207.23/207.88 [7528]~P1(f327(f35(x75281),x75282))+P1(f327(f327(f234(a915),f327(f36(x75281),x75282)),f327(f36(x75281),f327(f327(f309(x75281),x75283),x75282))))
% 207.23/207.88 [7535]E(f327(f327(f102(f922(a915,a910)),f327(f302(a915,x75351),x75352)),f327(f302(a915,x75352),f327(f327(f80(a915),x75352),x75353))),f327(f302(a915,x75351),f327(f327(f80(a915),x75352),x75353)))+~P1(f327(f327(f234(a915),x75351),x75352))
% 207.23/207.88 [7544]P1(f327(f327(f234(a915),x75441),x75442))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),x75443),x75441)),x75442))
% 207.23/207.88 [7545]P1(f327(f327(f234(a915),x75451),x75452))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),x75451),x75453)),x75452))
% 207.23/207.88 [7546]P1(f327(f327(f235(a915),x75461),x75462))+~P1(f327(f327(f235(a915),f327(f327(f80(a915),x75461),x75463)),x75462))
% 207.23/207.88 [7583]~P108(x75831)+E(f11(x75831,f189(x75831),f327(f173(x75831),f327(f327(f152(x75831),x75832),x75833))),f327(f143(x75831,x75831,f189(x75831),x75832),x75833))
% 207.23/207.88 [7584]~P108(x75841)+E(f12(x75841,f238(x75841),f327(f173(x75841),f327(f327(f152(x75841),x75842),x75843))),f327(f143(x75841,x75841,f238(x75841),x75842),x75843))
% 207.23/207.88 [7588]~E(x75882,f190(f922(f921(x75881,x75881),a910)))+P1(f327(f327(f234(f922(f921(x75881,x75881),a910)),x75882),x75883))
% 207.23/207.88 [7689]E(f327(f327(f102(f922(x76891,a910)),x76892),f327(f327(f23(f922(x76891,a910)),x76893),x76892)),x76893)+~P1(f327(f327(f234(f922(x76891,a910)),x76892),x76893))
% 207.23/207.88 [7690]~P1(f327(f327(f234(a915),x76901),f327(f327(f80(a915),x76903),x76902)))+P1(f327(f327(f234(a915),f327(f327(f23(a915),x76901),x76902)),x76903))
% 207.23/207.88 [7691]~P1(f327(f327(f235(a915),x76911),f327(f327(f23(a915),x76913),x76912)))+P1(f327(f327(f235(a915),f327(f327(f80(a915),x76911),x76912)),x76913))
% 207.23/207.88 [7747]E(x77471,f114(x77472))+E(f327(f142(x77472),f327(f327(f327(f184(f916(x77472),f916(x77472)),x77473),f168(x77472)),x77471)),f327(f327(f165(x77472),x77471),f46(a915,x77473,f327(f191(f916(x77472)),x77471))))
% 207.23/207.88 [7756]E(f327(f327(f309(x77561),x77562),f327(f327(f23(f922(x77561,a910)),x77563),f327(f327(f309(x77561),x77562),f190(f922(x77561,a910))))),x77563)+~P1(f327(f327(f329(x77561),x77562),x77563))
% 207.23/207.88 [7917]P1(f327(f327(f234(a915),x79171),f327(f327(f80(a915),x79172),x79173)))+~P1(f327(f327(f234(a915),f327(f327(f23(a915),x79171),x79173)),x79172))
% 207.23/207.88 [7918]P1(f327(f327(f235(a915),x79181),f327(f327(f23(a915),x79182),x79183)))+~P1(f327(f327(f235(a915),f327(f327(f80(a915),x79181),x79183)),x79182))
% 207.23/207.88 [7943]P1(f327(f35(x79431),x79432))+~P1(f327(f35(x79431),f327(f327(f102(f922(x79431,a910)),x79433),x79432)))
% 207.23/207.88 [7944]P1(f327(f35(x79441),x79442))+~P1(f327(f35(x79441),f327(f327(f102(f922(x79441,a910)),x79442),x79443)))
% 207.23/207.88 [8017]~P44(x80171,x80173)+P1(f327(f327(f329(f921(x80171,x80171)),f327(f327(f252(x80171,x80171),x80172),x80172)),x80173))
% 207.23/207.88 [8150]E(f327(f327(f165(a915),f140(a915,f327(f302(a915,x81501),x81502))),x81503),f327(f327(f80(a915),x81501),x81503))+~P1(f327(f327(f235(a915),f327(f327(f80(a915),x81501),x81503)),x81502))
% 207.23/207.88 [8216]E(f327(f327(f176(a915),x82161),f140(a915,f327(f302(a915,x82162),x82163))),f140(a915,f327(f302(a915,x82162),f327(f327(f80(a915),x82162),x82161))))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),x82162),x82161)),x82163))
% 207.23/207.88 [8273]~P93(x82731)+E(f327(f327(f244(x82731),x82732),f327(f105(a915),f327(f327(f80(a1),x82733),x82733))),f327(f327(f86(x82731,x82731),f327(f327(f244(x82731),x82732),f327(f105(a915),x82733))),f327(f327(f18(x82731,x82731,x82731),f81(x82731)),f5(x82731))))
% 207.23/207.88 [8537]E(f327(f327(f135(x85371),f327(f327(f176(x85371),x85372),x85373)),f327(f327(f152(x85371),f327(f327(f165(x85371),x85373),x85372)),f327(f327(f139(x85371),f327(a113,x85372)),x85373))),x85373)+~P1(f327(f327(f235(a915),x85372),f327(f191(f916(x85371)),x85373)))
% 207.23/207.88 [8544]P1(f327(f327(f234(f922(x85441,a910)),f315(x85441,x85442)),f315(x85441,x85443)))+~P1(f327(f327(f234(f922(x85441,f922(x85441,a910))),x85443),x85442))
% 207.23/207.88 [8545]~P53(x85451,x85452,x85453)+P53(x85451,x85452,f327(f327(f23(f922(f921(x85451,x85451),a910)),x85453),f307(x85451,f190(f922(f921(x85451,x85451),a910)))))
% 207.23/207.88 [8564]P1(f327(f327(f234(f922(x85641,a910)),f316(x85641,x85642)),f316(x85641,x85643)))+~P1(f327(f327(f234(f922(f921(x85641,x85641),a910)),x85643),x85642))
% 207.23/207.88 [8571]~P128(x85711)+P1(f327(f327(f234(x85711),f2(x85711)),f327(f327(f80(x85711),f327(f327(f81(x85711),x85712),x85712)),f327(f327(f81(x85711),x85713),x85713))))
% 207.23/207.88 [8605]P1(f327(f327(f234(f922(x86051,a910)),f327(f281(x86051),x86052)),f327(f281(x86051),x86053)))+~P1(f327(f327(f234(f922(f921(x86051,x86051),a910)),x86052),x86053))
% 207.23/207.88 [8634]~P51(x86341,x86342)+~P1(f327(f327(f329(f921(x86341,x86341)),f327(f327(f252(x86341,x86341),x86343),x86343)),x86342))
% 207.23/207.88 [8636]~P35(x86361,x86362)+~P1(f327(f327(f329(f921(x86361,x86361)),f327(f327(f252(x86361,x86361),x86363),x86363)),x86362))
% 207.23/207.88 [8694]P1(f327(f327(f234(f922(x86941,a910)),f39(f922(x86941,a910),x86942)),f39(f922(x86941,a910),x86943)))+~P1(f327(f327(f234(f922(f922(x86941,a910),a910)),x86943),x86942))
% 207.23/207.88 [8695]P1(f327(f327(f234(f922(x86951,a910)),f38(f922(x86951,a910),x86952)),f38(f922(x86951,a910),x86953)))+~P1(f327(f327(f234(f922(f922(x86951,a910),a910)),x86952),x86953))
% 207.23/207.88 [8749]~P6(x87491,x87493,x87492)+P1(f327(f327(f234(f922(f921(x87491,x87491),a910)),x87492),f327(f327(f254(x87491,x87491),x87493),f327(f16(f922(x87491,a910),x87491),x87493))))
% 207.23/207.88 [8750]~P50(x87501,x87503,x87502)+P1(f327(f327(f234(f922(f921(x87501,x87501),a910)),x87502),f327(f327(f254(x87501,x87501),x87503),f327(f16(f922(x87501,a910),x87501),x87503))))
% 207.23/207.88 [8799]~P84(x87991)+P1(f327(f327(f234(x87991),f327(f327(f23(x87991),f327(f75(x87991),x87992)),f327(f75(x87991),x87993))),f327(f75(x87991),f327(f327(f23(x87991),x87993),x87992))))
% 207.23/207.88 [8800]~P84(x88001)+P1(f327(f327(f234(x88001),f327(f327(f23(x88001),f327(f75(x88001),x88002)),f327(f75(x88001),x88003))),f327(f75(x88001),f327(f327(f23(x88001),x88002),x88003))))
% 207.23/207.88 [8832]P1(f327(f327(f234(f922(f921(x88321,x88321),a910)),f307(x88321,x88322)),f307(x88321,x88323)))+~P1(f327(f327(f234(f922(f921(x88321,x88321),a910)),x88322),x88323))
% 207.23/207.88 [8943]~P23(x89432,x89431,x89433,f242(f922(x89432,a910)))+E(f327(f72(x89431,x89432,x89432,f92(x89432,x89431,f242(f922(x89432,a910)),x89433)),x89433),f31(x89432))
% 207.23/207.88 [9003]P53(x90031,x90032,x90033)+~P53(x90031,x90032,f327(f327(f23(f922(f921(x90031,x90031),a910)),x90033),f307(x90031,f190(f922(f921(x90031,x90031),a910)))))
% 207.23/207.88 [9023]P1(f327(f327(f234(f922(f921(f916(x90231),f916(x90231)),a910)),f158(x90231,x90232)),f158(x90231,x90233)))+~P1(f327(f327(f234(f922(f921(x90231,x90231),a910)),x90232),x90233))
% 207.23/207.88 [9024]P1(f327(f327(f234(f922(f921(f916(x90241),f916(x90241)),a910)),f159(x90241,x90242)),f159(x90241,x90243)))+~P1(f327(f327(f234(f922(f921(x90241,x90241),a910)),x90242),x90243))
% 207.23/207.88 [9045]~P50(x90451,x90453,x90452)+P1(f327(f327(f234(f922(f921(x90451,x90451),a910)),x90452),f327(f327(f289(x90451,x90451,x90451),f327(f286(x90451,x90451),x90452)),x90452)))
% 207.23/207.88 [9099]~P1(f327(f138(x90991),x90992))+E(f327(f137(x90991,f327(f327(f7(x90991,f922(x90991,a910),a910),f329(x90991)),f327(f173(x90991),f177(x90991,x90992,x90993)))),x90992),f177(x90991,x90992,x90993))
% 207.23/207.88 [9154]E(x91541,x91542)+~P1(f327(f327(f329(f921(x91543,x91543)),f327(f327(f252(x91543,x91543),x91541),x91542)),f307(x91543,f190(f922(f921(x91543,x91543),a910)))))
% 207.23/207.88 [9236]P1(f327(f327(f329(x92361),x92362),f316(x92361,x92363)))+P1(f327(f327(f329(f921(x92361,x92361)),f327(f327(f252(x92361,x92361),f537(x92363,x92362,x92361)),x92362)),x92363))
% 207.23/207.88 [9237]P1(f327(f327(f329(x92371),x92372),f316(x92371,x92373)))+P1(f327(f327(f329(f921(x92371,x92371)),f327(f327(f252(x92371,x92371),f588(x92373,x92372,x92371)),x92372)),x92373))
% 207.23/207.88 [9238]P1(f327(f327(f329(x92381),x92382),f316(x92381,x92383)))+P1(f327(f327(f329(f921(x92381,x92381)),f327(f327(f252(x92381,x92381),f594(x92383,x92382,x92381)),x92382)),x92383))
% 207.23/207.88 [9274]P23(x92741,x92742,x92743,f242(f922(x92741,a910)))+~E(f327(f72(x92742,x92741,x92741,f92(x92741,x92742,f242(f922(x92741,a910)),x92743)),x92743),f31(x92741))
% 207.23/207.88 [9327]~P1(f327(f327(f329(f916(x93271)),x93273),f162(x93271,x93272)))+P1(f327(f161(x93271,f327(f327(f7(x93271,f922(x93271,a910),a910),f329(x93271)),x93272)),x93273))
% 207.23/207.88 [9350]P1(f327(x93503,x93502))+E(f327(f262(x93501),f327(f327(f18(x93501,a910,a910),f327(f327(f8(a910,f922(a910,a910),x93501),a325),f327(a324,x93502))),x93503)),f190(f922(x93501,a910)))
% 207.23/207.88 [9366]~P84(x93661)+P1(f327(f327(f234(x93661),f327(f75(x93661),f327(f327(f23(x93661),f327(f75(x93661),x93662)),f327(f75(x93661),x93663)))),f327(f75(x93661),f327(f327(f23(x93661),x93662),x93663))))
% 207.23/207.88 [9380]~P1(f327(x93803,x93802))+E(f327(f262(x93801),f327(f327(f18(x93801,a910,a910),f327(f327(f8(a910,f922(a910,a910),x93801),a325),f327(a324,x93802))),x93803)),f327(f327(f309(x93801),x93802),f190(f922(x93801,a910))))
% 207.23/207.88 [9389]~P1(f327(f327(f329(f922(x93891,a910)),x93893),f327(f308(x93891),x93892)))+P1(f327(f248(x93891,f327(f327(f7(x93891,f922(x93891,a910),a910),f329(x93891)),x93892)),x93893))
% 207.23/207.88 [9424]P35(x94241,x94242)+P1(f327(f327(f329(f921(x94241,x94241)),f327(f327(f252(x94241,x94241),f327(f546(x94242,x94241),f327(a113,x94243))),f327(f546(x94242,x94241),x94243))),x94242))
% 207.23/207.88 [9563]P1(f327(f327(f329(f916(x95631)),x95632),f162(x95631,x95633)))+~P1(f327(f161(x95631,f327(f327(f7(x95631,f922(x95631,a910),a910),f329(x95631)),x95633)),x95632))
% 207.23/207.88 [9578]P1(f327(f327(f329(f922(x95781,a910)),x95782),f327(f308(x95781),x95783)))+~P1(f327(f248(x95781,f327(f327(f7(x95781,f922(x95781,a910),a910),f329(x95781)),x95783)),x95782))
% 207.23/207.88 [9638]P1(f327(f327(f329(x96381),f327(f268(x96381,x96382),x96383)),f327(f173(x96381),f327(f327(f155(f921(a100,x96381),x96381),f256(a100,x96381)),x96382))))+~P1(f327(f327(f235(a100),x96383),f327(f166(a100),f327(f327(f155(f921(a100,x96381),a100),f251(a100,x96381)),x96382))))
% 207.23/207.88 [9685]P1(f327(f327(f234(f922(f921(f916(x96851),f916(x96851)),a910)),f159(x96851,x96852)),f327(f327(f254(f916(x96851),f916(x96851)),f162(x96851,x96853)),f327(f16(f922(f916(x96851),a910),f916(x96851)),f162(x96851,x96853)))))+~P1(f327(f327(f234(f922(f921(x96851,x96851),a910)),x96852),f327(f327(f254(x96851,x96851),x96853),f327(f16(f922(x96851,a910),x96851),x96853))))
% 207.23/207.88 [9710]P1(f327(f327(f329(x97101),f327(f251(x97101,f921(a100,a100)),f327(f266(x97101,x97102),x97103))),f327(f173(x97101),f327(f327(f155(f921(a100,x97101),x97101),f256(a100,x97101)),x97102))))+~P1(f327(f327(f235(a100),f2(a100)),f327(f166(a100),f327(f327(f155(f921(a100,x97101),a100),f251(a100,x97101)),x97102))))
% 207.23/207.88 [9725]~P1(f327(f327(f234(f922(f921(x97251,x97251),a910)),x97252),f327(f327(f254(x97251,x97251),x97253),f327(f16(f922(x97251,a910),x97251),x97253))))+P1(f327(f327(f234(f922(f921(x97251,x97251),a910)),f327(f327(f289(x97251,x97251,x97251),x97252),f307(x97251,x97252))),f327(f327(f254(x97251,x97251),x97253),f327(f16(f922(x97251,a910),x97251),x97253))))
% 207.23/207.88 [10025]~P35(x100251,x100252)+~P1(f327(f327(f329(f921(x100251,x100251)),f327(f327(f252(x100251,x100251),f327(x100253,f327(a113,f545(x100252,x100251,x100253)))),f327(x100253,f545(x100252,x100251,x100253)))),x100252))
% 207.23/207.88 [10026]~P35(x100261,x100262)+~P1(f327(f327(f329(f921(x100261,x100261)),f327(f327(f252(x100261,x100261),f327(x100263,f327(a113,f599(x100263,x100262,x100261)))),f327(x100263,f599(x100263,x100262,x100261)))),x100262))
% 207.23/207.88 [10287]P1(f327(f327(f234(f922(f921(f922(x102871,a910),f922(x102871,a910)),a910)),f327(f327(f289(f922(x102871,a910),f922(x102871,a910),f922(x102871,a910)),f318(x102871,x102872)),f327(f327(f102(f922(f921(f922(x102871,a910),f922(x102871,a910)),a910)),f318(x102871,x102873)),f327(f327(f309(f921(f922(x102871,a910),f922(x102871,a910))),f327(f327(f252(f922(x102871,a910),f922(x102871,a910)),f190(f922(x102871,a910))),f190(f922(x102871,a910)))),f190(f922(f921(f922(x102871,a910),f922(x102871,a910)),a910)))))),f318(x102871,x102872)))+~P1(f327(f327(f234(f922(f921(x102871,x102871),a910)),f327(f327(f289(x102871,x102871,x102871),x102872),x102873)),x102872))
% 207.23/207.88 [10288]P1(f327(f327(f234(f922(f921(f922(x102881,a910),f922(x102881,a910)),a910)),f327(f327(f289(f922(x102881,a910),f922(x102881,a910),f922(x102881,a910)),f319(x102881,x102882)),f327(f327(f102(f922(f921(f922(x102881,a910),f922(x102881,a910)),a910)),f319(x102881,x102883)),f327(f327(f309(f921(f922(x102881,a910),f922(x102881,a910))),f327(f327(f252(f922(x102881,a910),f922(x102881,a910)),f190(f922(x102881,a910))),f190(f922(x102881,a910)))),f190(f922(f921(f922(x102881,a910),f922(x102881,a910)),a910)))))),f319(x102881,x102882)))+~P1(f327(f327(f234(f922(f921(x102881,x102881),a910)),f327(f327(f289(x102881,x102881,x102881),x102882),x102883)),x102882))
% 207.23/207.88 [7461]~P1(f327(f327(f234(a915),x74612),x74611))+E(f327(f327(f23(a915),f327(a113,f327(f327(f23(a915),x74611),x74612))),x74613),f327(f327(f23(a915),f327(a113,x74611)),f327(f327(f80(a915),x74612),x74613)))
% 207.23/207.88 [7501]~P58(x75011)+E(f327(f327(f80(x75011),f46(x75011,x75012,x75013)),f327(f327(f81(x75011),f327(f327(f37(x75011),x75012),x75013)),x75013)),x75012)
% 207.23/207.88 [7695]E(f327(f327(f81(a915),f327(f105(a915),x76951)),f327(f327(f81(a915),f327(f105(a915),x76952)),x76953)),f327(f327(f81(a915),f327(f105(a915),f327(f327(f81(a1),x76951),x76952))),x76953))+P1(f327(f327(f235(a1),x76951),a83))
% 207.23/207.88 [8159]~P1(f327(f327(f234(a915),x81593),x81592))+P1(f327(f327(f234(a915),x81591),f327(f327(f23(a915),f327(f327(f80(a915),x81592),x81591)),x81593)))
% 207.23/207.88 [8359]~P1(f327(f327(f234(a915),x83591),x83592))+E(f327(f327(f135(a915),f140(a915,f327(f302(a915,x83591),x83592))),f140(a915,f327(f302(a915,x83592),f327(f327(f80(a915),x83592),x83593)))),f140(a915,f327(f302(a915,x83591),f327(f327(f80(a915),x83592),x83593))))
% 207.23/207.88 [8613]~P1(f327(f35(x86131),x86132))+E(f327(a113,f327(f36(x86131),f327(f327(f23(f922(x86131,a910)),x86132),f327(f327(f309(x86131),x86133),f190(f922(x86131,a910)))))),f327(f36(x86131),f327(f327(f309(x86131),x86133),x86132)))
% 207.23/207.88 [8652]~P1(f327(f35(x86521),x86522))+E(f327(f327(f80(a915),f78(a915)),f327(f36(x86521),f327(f327(f23(f922(x86521,a910)),x86522),f327(f327(f309(x86521),x86523),f190(f922(x86521,a910)))))),f327(f36(x86521),f327(f327(f309(x86521),x86523),x86522)))
% 207.23/207.88 [8841]E(f327(f327(f23(a915),f327(f36(x88411),x88412)),f327(f36(x88411),f327(f327(f103(f922(x88411,a910)),x88412),x88413))),f327(f36(x88411),f327(f327(f23(f922(x88411,a910)),x88412),x88413)))+~P1(f327(f35(x88411),f327(f327(f103(f922(x88411,a910)),x88412),x88413)))
% 207.23/207.88 [9094]~P4(f327(x90942,f411(x90942,x90943,x90941)))+E(f327(f101(a1),f327(f327(f6(x90941,a915),f327(f327(f8(a1,a915,x90941),a106),x90942)),x90943)),f327(f327(f6(x90941,a1),x90942),x90943))
% 207.23/207.88 [9095]~P4(f327(x90952,f412(x90952,x90953,x90951)))+E(f327(f101(a1),f327(f327(f9(x90951,a915),f327(f327(f8(a1,a915,x90951),a106),x90952)),x90953)),f327(f327(f9(x90951,a1),x90952),x90953))
% 207.23/207.88 [9137]~P1(f327(f35(x91371),x91373))+P1(f327(f327(f234(a915),f327(f327(f23(a915),f327(f36(x91371),x91372)),f327(f36(x91371),x91373))),f327(f36(x91371),f327(f327(f23(f922(x91371,a910)),x91372),x91373))))
% 207.23/207.88 [9164]P1(f327(f327(f329(x91641),f411(x91642,x91643,x91641)),x91643))+E(f327(f101(a1),f327(f327(f6(x91641,a915),f327(f327(f8(a1,a915,x91641),a106),x91642)),x91643)),f327(f327(f6(x91641,a1),x91642),x91643))
% 207.23/207.88 [9165]P1(f327(f327(f329(x91651),f412(x91652,x91653,x91651)),x91653))+E(f327(f101(a1),f327(f327(f9(x91651,a915),f327(f327(f8(a1,a915,x91651),a106),x91652)),x91653)),f327(f327(f9(x91651,a1),x91652),x91653))
% 207.23/207.88 [9228]E(f85(x92281,f327(f327(f7(x92281,f922(x92281,a910),a910),f329(x92281)),f327(f327(f23(f922(x92281,a910)),x92282),f327(f327(f309(x92281),x92283),f190(f922(x92281,a910)))))),f247(x92281,x92283,x92282))+P1(f327(f327(f234(f922(x92281,a910)),x92282),f327(f327(f309(x92281),x92283),f190(f922(x92281,a910)))))
% 207.23/207.88 [9579]E(f327(f327(f155(f916(x95791),x95791),f327(f327(f7(f916(x95791),a915,x95791),f165(x95791)),x95792)),f327(f137(f916(x95791),f327(f327(f8(a915,a910,f916(x95791)),f327(f235(a915),x95792)),f191(f916(x95791)))),x95793)),f327(f327(f165(f916(x95791)),f180(x95791,x95793)),x95792))+~P1(f327(f327(f235(a915),x95792),f327(f191(f916(f916(x95791))),f180(x95791,x95793))))
% 207.23/207.88 [9658]E(f327(f137(x96581,x96582),x96583),f178(x96581,x96582,x96583))+P1(f327(f327(f329(x96581),f717(x96583,x96582,x96581)),f327(f173(x96581),f327(f327(f139(x96581),f327(f191(f916(x96581)),f178(x96581,x96582,x96583))),x96583))))
% 207.23/207.88 [9798]E(f327(f327(f139(x97981),f327(f191(f916(x97981)),f178(x97981,x97982,x97983))),x97983),f114(x97981))+~P1(f327(x97982,f327(f142(x97981),f327(f327(f139(x97981),f327(f191(f916(x97981)),f178(x97981,x97982,x97983))),x97983))))
% 207.23/207.88 [9890]~P1(f327(f327(f329(f921(x98901,x98901)),x98902),f307(x98901,x98903)))+P1(f327(f327(f329(f921(x98901,x98901)),x98902),f327(f327(f40(a915,f922(f921(x98901,x98901),a910)),f242(f922(a915,a910))),f327(f327(f7(a915,f922(f921(x98901,x98901),a910),f922(f921(x98901,x98901),a910)),f184(f921(x98901,x98901),a910)),x98903))))
% 207.23/207.88 [9951]~P1(f327(f327(f234(f922(x99511,a910)),f327(f327(f40(a915,f922(x99511,a910)),f327(f302(a915,f2(a915)),f395(x99513,x99512,x99511))),x99512)),x99513))+P1(f327(f327(f234(f922(x99511,a910)),f327(f327(f40(a915,f922(x99511,a910)),f242(f922(a915,a910))),x99512)),x99513))
% 207.23/207.88 [9998]~P1(f327(f327(f235(a1),f2(a1)),x99983))+P1(f327(f327(f235(a1),x99981),f327(f327(f80(a1),x99982),f327(f327(f81(a1),f327(f327(f80(a1),f327(f75(a1),f327(f327(f23(a1),x99982),x99981))),f78(a1))),x99983))))
% 207.23/207.88 [10012]~P35(x100121,f327(f327(f102(f922(f921(x100121,x100121),a910)),x100122),x100123))+P35(x100121,f327(f327(f102(f922(f921(x100121,x100121),a910)),f327(f327(f102(f922(f921(x100121,x100121),a910)),f327(f327(f289(x100121,x100121,x100121),x100122),x100122)),f327(f327(f289(x100121,x100121,x100121),x100123),x100122))),x100123))
% 207.23/207.88 [10087]P35(x100871,f327(f327(f102(f922(f921(x100871,x100871),a910)),x100872),x100873))+~P35(x100871,f327(f327(f102(f922(f921(x100871,x100871),a910)),f327(f327(f102(f922(f921(x100871,x100871),a910)),f327(f327(f289(x100871,x100871,x100871),x100872),x100872)),f327(f327(f289(x100871,x100871,x100871),x100873),x100872))),x100873))
% 207.23/207.88 [9661]~P142(x96611)+E(f327(f104(x96611),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x96612),x96613)),f190(f922(f921(a915,a915),a910)))))),f327(f327(f23(x96611),f327(f101(x96611),x96612)),f327(f101(x96611),x96613)))
% 207.23/207.88 [9745]P1(f327(x97453,x97452))+E(f327(f262(x97451),f327(f327(f18(x97451,a910,a910),f327(f327(f8(a910,f922(a910,a910),x97451),a325),f327(f327(f7(x97451,x97451,a910),a324),x97452))),x97453)),f190(f922(x97451,a910)))
% 207.23/207.88 [9747]~P1(f327(x97473,x97472))+E(f327(f262(x97471),f327(f327(f18(x97471,a910,a910),f327(f327(f8(a910,f922(a910,a910),x97471),a325),f327(f327(f7(x97471,x97471,a910),a324),x97472))),x97473)),f327(f327(f309(x97471),x97472),f190(f922(x97471,a910))))
% 207.23/207.88 [9977]E(x99771,x99772)+P1(f327(f327(f243(x99773,x99773,f327(f327(f8(f922(x99773,a910),f922(x99773,a910),x99773),f327(f8(a910,a910,x99773),a322)),a324)),x99771),x99772))
% 207.23/207.88 [10067]~E(x100671,x100672)+~P1(f327(f327(f243(x100673,x100673,f327(f327(f8(f922(x100673,a910),f922(x100673,a910),x100673),f327(f8(a910,a910,x100673),a322)),a324)),x100671),x100672))
% 207.23/207.88 [10079]~P1(f327(f35(x100791),x100793))+E(f327(f327(f64(x100791,f922(x100791,a910),f327(f327(f8(f922(x100791,a910),f922(f922(x100791,a910),f922(x100791,a910)),x100791),f327(f7(f922(x100791,a910),f922(x100791,a910),f922(x100791,a910)),f23(f922(x100791,a910)))),f327(f327(f7(x100791,f922(x100791,a910),f922(x100791,a910)),f309(x100791)),f190(f922(x100791,a910))))),x100792),x100793),f327(f327(f23(f922(x100791,a910)),x100792),x100793))
% 207.23/207.88 [10110]~P1(f327(f327(f235(a1),f2(a1)),x101103))+P1(f327(f327(f235(a1),f327(f327(f23(a1),x101101),f327(f327(f81(a1),f327(f327(f80(a1),f327(f75(a1),f327(f327(f23(a1),x101101),x101102))),f78(a1))),x101103))),x101102))
% 207.23/207.88 [10371]~P1(f327(f327(f329(x103711),x103713),f316(x103711,x103712)))+P1(f327(f315(x103711,f327(f327(f7(x103711,f922(f921(x103711,x103711),a910),f922(x103711,a910)),f327(f327(f8(f922(x103711,f922(f922(f921(x103711,x103711),a910),a910)),f922(f922(f921(x103711,x103711),a910),f922(x103711,a910)),x103711),f7(x103711,f922(f921(x103711,x103711),a910),a910)),f327(f327(f8(f922(x103711,f921(x103711,x103711)),f922(x103711,f922(f922(f921(x103711,x103711),a910),a910)),x103711),f327(f8(f921(x103711,x103711),f922(f922(f921(x103711,x103711),a910),a910),x103711),f329(f921(x103711,x103711)))),f252(x103711,x103711)))),x103712)),x103713))
% 207.23/207.88 [10384]P1(f327(f327(f329(x103841),x103842),f316(x103841,x103843)))+~P1(f327(f315(x103841,f327(f327(f7(x103841,f922(f921(x103841,x103841),a910),f922(x103841,a910)),f327(f327(f8(f922(x103841,f922(f922(f921(x103841,x103841),a910),a910)),f922(f922(f921(x103841,x103841),a910),f922(x103841,a910)),x103841),f7(x103841,f922(f921(x103841,x103841),a910),a910)),f327(f327(f8(f922(x103841,f921(x103841,x103841)),f922(x103841,f922(f922(f921(x103841,x103841),a910),a910)),x103841),f327(f8(f921(x103841,x103841),f922(f922(f921(x103841,x103841),a910),a910),x103841),f329(f921(x103841,x103841)))),f252(x103841,x103841)))),x103843)),x103842))
% 207.23/207.88 [9949]~P1(f327(f35(x99491),f327(f262(x99491),x99493)))+P1(f327(f35(x99491),f327(f262(x99491),f327(f327(f18(x99491,a910,a910),f327(f327(f8(a910,f922(a910,a910),x99491),a325),x99492)),x99493))))
% 207.23/207.88 [9950]~P1(f327(f35(x99501),f327(f262(x99501),x99502)))+P1(f327(f35(x99501),f327(f262(x99501),f327(f327(f18(x99501,a910,a910),f327(f327(f8(a910,f922(a910,a910),x99501),a325),x99502)),x99503))))
% 207.23/207.88 [10046]P1(f327(f35(x100461),f327(f262(x100461),x100462)))+~P1(f327(f35(x100461),f327(f262(x100461),f327(f327(f18(x100461,a910,a910),f327(f327(f8(a910,f922(a910,a910),x100461),a326),x100463)),x100462))))
% 207.23/207.88 [10047]P1(f327(f35(x100471),f327(f262(x100471),x100472)))+~P1(f327(f35(x100471),f327(f262(x100471),f327(f327(f18(x100471,a910,a910),f327(f327(f8(a910,f922(a910,a910),x100471),a326),x100472)),x100473))))
% 207.23/207.88 [10350]~P1(f327(f35(x103501),x103502))+P1(f327(f35(f916(x103501)),f327(f262(f916(x103501)),f327(f327(f18(f916(x103501),a910,a910),f327(f327(f8(a910,f922(a910,a910),f916(x103501)),a325),f327(f327(f7(f916(x103501),f922(x103501,a910),a910),f327(f327(f8(f922(x103501,a910),f922(f922(x103501,a910),a910),f916(x103501)),f234(f922(x103501,a910))),f173(x103501))),x103502))),f327(f327(f7(f916(x103501),a915,a910),f327(f327(f8(a915,f922(a915,a910),f916(x103501)),a324),f191(f916(x103501)))),x103503)))))
% 207.23/207.88 [10351]~P1(f327(f35(x103511),x103512))+P1(f327(f35(f916(x103511)),f327(f262(f916(x103511)),f327(f327(f18(f916(x103511),a910,a910),f327(f327(f8(a910,f922(a910,a910),f916(x103511)),a325),f327(f327(f7(f916(x103511),f922(x103511,a910),a910),f327(f327(f8(f922(x103511,a910),f922(f922(x103511,a910),a910),f916(x103511)),f234(f922(x103511,a910))),f173(x103511))),x103512))),f327(f327(f7(f916(x103511),a915,a910),f327(f327(f8(a915,f922(a915,a910),f916(x103511)),f234(a915)),f191(f916(x103511)))),x103513)))))
% 207.23/207.88 [10060]~P112(x100601)+E(f327(f327(f244(x100601),x100602),f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x100603)),f327(f327(f81(x100601),f327(f327(f244(x100601),x100602),x100603)),f327(f327(f244(x100601),x100602),x100603)))
% 207.23/207.88 [10091]~P80(x100911)+E(f327(f327(f244(x100911),f327(f327(f244(x100911),x100912),x100913)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f327(f244(x100911),x100912),f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x100913)))
% 207.23/207.88 [10147]~P142(x101471)+E(f327(f327(f244(x101471),f327(f79(x101471),x101472)),f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101473)),f327(f327(f244(x101471),x101472),f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101473)))
% 207.23/207.88 [10295]~P119(x102951)+P1(f327(f327(f234(x102951),f2(x102951)),f327(f327(f80(x102951),f327(f327(f244(x102951),x102952),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x102951),x102953),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))))
% 207.23/207.88 [10157]~P112(x101571)+E(f327(f327(f244(x101571),x101572),f327(a113,f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101573))),f327(f327(f81(x101571),x101572),f327(f327(f81(x101571),f327(f327(f244(x101571),x101572),x101573)),f327(f327(f244(x101571),x101572),x101573))))
% 207.23/207.88 [10208]~P80(x102081)+E(f327(f327(f81(x102081),x102082),f327(f327(f244(x102081),f327(f327(f244(x102081),x102082),x102083)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x102081),x102082),f327(a113,f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102083))))
% 207.23/207.88 [10249]~P119(x102491)+P1(f327(f327(f234(x102491),f2(x102491)),f327(f327(f244(x102491),x102492),f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x102493))))
% 207.23/207.88 [10326]~P93(x103261)+E(f327(f327(f23(x103261),f327(f327(f80(x103261),f327(f327(f244(x103261),x103262),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x103261),x103263),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))),f327(f327(f81(x103261),f327(f327(f81(x103261),f327(f105(x103261),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x103262)),x103263)),f327(f327(f244(x103261),f327(f327(f23(x103261),x103262),x103263)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.88 [10327]~P93(x103271)+E(f327(f327(f80(x103271),f327(f327(f80(x103271),f327(f327(f244(x103271),x103272),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x103271),x103273),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))),f327(f327(f81(x103271),f327(f327(f81(x103271),f327(f105(x103271),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x103272)),x103273)),f327(f327(f244(x103271),f327(f327(f80(x103271),x103272),x103273)),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.88 [4844]E(x48441,x48442)+~E(f30(x48443,x48441),f30(x48444,x48442))
% 207.23/207.88 [4845]E(x48451,x48452)+~E(f30(x48451,x48453),f30(x48452,x48454))
% 207.23/207.88 [4846]E(x48461,x48462)+~E(f29(x48463,x48461),f29(x48464,x48462))
% 207.23/207.88 [4847]E(x48471,x48472)+~E(f29(x48471,x48473),f29(x48472,x48474))
% 207.23/207.88 [7960]P23(x79601,x79602,x79603,x79604)+~E(f457(x79604,x79603,x79602,x79601),f469(x79604,x79603,x79602,x79601))
% 207.23/207.88 [8250]P32(x82501,x82502,x82503,x82504,f114(x82502))+~E(x82504,f114(x82501))
% 207.23/207.88 [8251]P32(x82511,x82512,x82513,f114(x82511),x82514)+~E(x82514,f114(x82512))
% 207.23/207.88 [8789]~P32(x87892,x87893,x87894,x87891,f114(x87893))+E(x87891,f114(x87892))
% 207.23/207.88 [8790]~P32(x87903,x87902,x87904,f114(x87903),x87901)+E(x87901,f114(x87902))
% 207.23/207.88 [5227]~P15(x52273,x52271,x52274)+E(f327(f327(x52271,x52272),x52272),x52272)
% 207.23/207.88 [5476]P1(f327(x54762,x54764))+E(f327(f137(x54761,x54762),f170(x54761,x54763,x54764)),f114(x54761))
% 207.23/207.88 [5513]~E(x55134,f190(f922(x55131,a910)))+E(f327(f310(x55131,x55132,x55133),x55134),f190(f922(x55132,a910)))
% 207.23/207.88 [5760]~P1(f327(x57602,x57604))+E(f327(f137(x57601,x57602),f170(x57601,x57603,x57604)),f170(x57601,x57603,x57604))
% 207.23/207.88 [5790]~E(f327(f310(x57902,x57903,x57904),x57901),f190(f922(x57903,a910)))+E(x57901,f190(f922(x57902,a910)))
% 207.23/207.88 [5977]~P5(x59771,x59773)+E(f271(x59771,x59772,f270(x59771,x59773),x59774),x59774)
% 207.23/207.88 [6084]~P108(x60842)+E(f327(f327(f149(x60841,x60842,x60843),x60844),f114(x60841)),f327(f327(f152(x60841),x60844),f114(x60841)))
% 207.23/207.88 [6449]~E(x64491,f190(f922(x64492,a910)))+~P1(f327(f62(x64492,x64493,x64491),x64494))
% 207.23/207.88 [6471]~P56(x64711,x64713,x64714,x64712)+P1(f327(f35(x64711),x64712))
% 207.23/207.88 [6473]~P56(x64731,x64733,x64732,x64734)+P1(f327(f35(x64731),x64732))
% 207.23/207.88 [6481]~P56(x64812,x64813,x64814,x64811)+~E(x64811,f190(f922(x64812,a910)))
% 207.23/207.88 [6514]~P110(x65141)+E(f327(f327(f103(f922(x65141,a910)),f327(f302(x65141,x65142),x65143)),f303(x65141,x65143,x65144)),f190(f922(x65141,a910)))
% 207.23/207.88 [6541]~P1(f327(f327(x65413,x65414),x65412))+P1(f327(f327(f329(x65411),x65412),f294(x65411,x65413,x65414)))
% 207.23/207.88 [6542]~P1(f327(f327(x65423,x65424),x65422))+P1(f327(f327(f329(x65421),x65422),f295(x65421,x65423,x65424)))
% 207.23/207.88 [6543]~P1(f327(f327(x65433,x65432),x65434))+P1(f327(f327(f329(x65431),x65432),f296(x65431,x65433,x65434)))
% 207.23/207.88 [6544]~P1(f327(f327(x65443,x65442),x65444))+P1(f327(f327(f329(x65441),x65442),f298(x65441,x65443,x65444)))
% 207.23/207.88 [6684]~P110(x66841)+E(f327(f327(f103(f922(x66841,a910)),f306(x66841,x66842,x66843)),f303(x66841,x66843,x66844)),f190(f922(x66841,a910)))
% 207.23/207.88 [6685]~P110(x66851)+E(f327(f327(f103(f922(x66851,a910)),f305(x66851,x66852,x66853)),f306(x66851,x66853,x66854)),f190(f922(x66851,a910)))
% 207.23/207.88 [6686]~P110(x66861)+E(f327(f327(f103(f922(x66861,a910)),f305(x66861,x66862,x66863)),f305(x66861,x66863,x66864)),f190(f922(x66861,a910)))
% 207.23/207.88 [6687]~P110(x66871)+E(f327(f327(f103(f922(x66871,a910)),f303(x66871,x66872,x66873)),f306(x66871,x66873,x66874)),f190(f922(x66871,a910)))
% 207.23/207.88 [6688]~P110(x66881)+E(f327(f327(f103(f922(x66881,a910)),f303(x66881,x66882,x66883)),f305(x66881,x66883,x66884)),f190(f922(x66881,a910)))
% 207.23/207.88 [6726]P1(f327(f327(x67261,x67262),f541(x67262,x67261)))+~P1(f327(f249(x67263,x67264,x67261),x67262))
% 207.23/207.88 [6806]~P108(x68062)+E(f327(f173(x68061),f151(x68061,x68062,x68063,x68064)),f327(f173(x68061),x68064))
% 207.23/207.88 [6856]~P146(x68561)+E(f192(x68561,x68562,f327(a113,x68563),x68564),f192(x68561,x68562,x68563,f327(x68562,x68564)))
% 207.23/207.88 [6919]~P1(f327(f327(f329(x69194),x69193),f294(x69194,x69191,x69192)))+P1(f327(f327(x69191,x69192),x69193))
% 207.23/207.88 [6920]~P1(f327(f327(f329(x69204),x69203),f295(x69204,x69201,x69202)))+P1(f327(f327(x69201,x69202),x69203))
% 207.23/207.88 [6921]~P1(f327(f327(f329(x69214),x69212),f296(x69214,x69211,x69213)))+P1(f327(f327(x69211,x69212),x69213))
% 207.23/207.88 [6922]~P1(f327(f327(f329(x69224),x69222),f298(x69224,x69221,x69223)))+P1(f327(f327(x69221,x69222),x69223))
% 207.23/207.88 [6997]E(f327(f36(f920(x69971,x69972)),f313(x69971,x69972,x69973,x69974)),f2(a915))+P1(f327(f35(x69972),x69974))
% 207.23/207.88 [6998]E(f327(f36(f920(x69981,x69982)),f313(x69981,x69982,x69983,x69984)),f2(a915))+P1(f327(f35(x69981),x69983))
% 207.23/207.88 [7202]~P12(x72024,x72021,x72022)+E(f327(f72(x72021,x72021,x72021,f327(x72022,x72023)),f327(x72022,x72023)),f327(x72022,x72023))
% 207.23/207.88 [7446]E(f277(x74461,x74462,x74463,x74464),f327(f252(f922(a100,f922(a910,f918(f917(x74461)))),f921(a100,a100)),f42(x74461)))+~P1(f327(f327(f234(a100),x74463),f2(a100)))
% 207.23/207.88 [8082]~E(x80822,x80823)+P1(f327(f327(f329(f921(x80821,x80821)),f327(f327(f252(x80821,x80821),x80822),x80823)),f307(x80821,x80824)))
% 207.23/207.88 [8111]~P23(x81111,x81112,x81113,f242(f922(x81111,a910)))+E(f327(f77(x81111,x81112,f242(f922(x81111,a910)),x81113),f327(x81113,x81114)),x81114)
% 207.23/207.88 [8112]~P23(x81121,x81122,x81123,f242(f922(x81121,a910)))+E(f327(f92(x81121,x81122,f242(f922(x81121,a910)),x81123),f327(x81123,x81124)),x81124)
% 207.23/207.88 [8199]~P1(f327(f327(f329(f916(x81991)),f327(f327(f152(x81991),x81994),x81992)),f162(x81991,x81993)))+P1(f327(f327(f329(f916(x81991)),x81992),f162(x81991,x81993)))
% 207.23/207.88 [8200]~P1(f327(f327(f329(f916(x82001)),f327(f327(f135(x82001),x82004),x82002)),f162(x82001,x82003)))+P1(f327(f327(f329(f916(x82001)),x82002),f162(x82001,x82003)))
% 207.23/207.88 [8201]~P1(f327(f327(f329(f916(x82011)),f327(f327(f135(x82011),x82012),x82014)),f162(x82011,x82013)))+P1(f327(f327(f329(f916(x82011)),x82012),f162(x82011,x82013)))
% 207.23/207.88 [8212]~P108(x82121)+P11(x82121,f327(f327(f155(x82122,x82121),x82123),f151(x82122,x82121,x82123,x82124)))
% 207.23/207.88 [8317]P23(x83174,x83173,x83171,x83172)+E(f327(x83171,f457(x83172,x83171,x83173,x83174)),f327(x83171,f469(x83172,x83171,x83173,x83174)))
% 207.23/207.88 [8423]~P23(x84232,x84231,x84234,x84233)+P23(x84231,x84232,f77(x84232,x84231,x84233,x84234),f327(f310(x84232,x84231,x84234),x84233))
% 207.23/207.88 [8562]P35(f921(x85622,x85624),f280(x85622,x85624,x85621,x85623))+P1(f327(x85621,f543(x85622,x85623,x85624,x85621)))
% 207.23/207.88 [8677]E(x86771,x86772)+~P1(f327(f327(f329(f921(x86773,x86773)),f327(f327(f252(x86773,x86773),x86771),x86772)),f263(x86773,x86774)))
% 207.23/207.88 [8741]~P1(f327(f35(f920(x87413,x87411)),f313(x87413,x87411,x87414,x87412)))+P1(f327(f35(x87411),x87412))
% 207.23/207.88 [8742]~P1(f327(f35(f920(x87421,x87423)),f313(x87421,x87423,x87422,x87424)))+P1(f327(f35(x87421),x87422))
% 207.23/207.88 [8751]~P23(x87511,x87512,x87513,x87514)+P24(x87511,x87512,x87513,x87514,f327(f310(x87511,x87512,x87513),x87514))
% 207.23/207.88 [8752]P9(x87521,x87522,x87523,x87524)+~E(f327(x87524,f825(x87522,x87524,x87523,x87521)),f327(x87524,f826(x87522,x87524,x87523,x87521)))
% 207.23/207.88 [8842]~P24(x88422,x88423,x88424,x88421,f190(f922(x88423,a910)))+E(x88421,f190(f922(x88422,a910)))
% 207.23/207.88 [8843]~P24(x88433,x88432,x88434,f190(f922(x88433,a910)),x88431)+E(x88431,f190(f922(x88432,a910)))
% 207.23/207.88 [8935]P35(f921(x89351,x89352),f280(x89351,x89352,x89353,x89354))+~P35(x89352,f327(x89354,f543(x89351,x89354,x89352,x89353)))
% 207.23/207.88 [9499]E(f327(f327(f160(x94991,x94992),f666(x94993,x94994,x94992,x94991)),f665(x94993,x94994,x94992,x94991)),x94994)+~P1(f327(f327(f329(f921(f916(x94991),f916(x94991))),f327(f327(f252(f916(x94991),f916(x94991)),x94992),x94994)),f158(x94991,x94993)))
% 207.23/207.88 [9504]~P1(f327(f327(f329(f921(f916(x95041),f916(x95041))),f327(f327(f252(f916(x95041),f916(x95041)),x95042),x95043)),f146(x95041,x95044)))+P1(f327(f327(f329(f921(f916(x95041),f916(x95041))),f327(f327(f252(f916(x95041),f916(x95041)),x95042),x95043)),f148(x95041,x95044)))
% 207.23/207.88 [9615]P1(f327(f35(x96151),x96152))+~P1(f327(f327(f329(f921(f922(x96151,a910),f922(x96151,a910))),f327(f327(f252(f922(x96151,a910),f922(x96151,a910)),x96153),x96152)),f319(x96151,x96154)))
% 207.23/207.88 [9616]P1(f327(f35(x96161),x96162))+~P1(f327(f327(f329(f921(f922(x96161,a910),f922(x96161,a910))),f327(f327(f252(f922(x96161,a910),f922(x96161,a910)),x96162),x96163)),f319(x96161,x96164)))
% 207.23/207.88 [9619]~E(x96191,f190(f922(x96192,a910)))+~P1(f327(f327(f329(f921(f922(x96192,a910),f922(x96192,a910))),f327(f327(f252(f922(x96192,a910),f922(x96192,a910)),x96193),x96191)),f319(x96192,x96194)))
% 207.23/207.88 [10260]P9(x102601,x102602,x102603,x102604)+~P1(f327(f327(f257(x102601,x102601,a910),f327(f327(f7(x102601,f922(x102601,x102602),f922(x102601,a910)),f327(f327(f8(f922(x102602,a910),f922(f922(x102601,x102602),f922(x102601,a910)),x102601),f8(x102602,a910,x102601)),f327(f327(f8(x102602,f922(x102602,a910),x102601),a324),x102604))),x102604)),f578(x102604,x102603,x102602,x102601)))
% 207.23/207.88 [5126]~E(x51262,f114(x51261))+E(f327(f327(f160(x51261,x51262),x51263),x51264),f114(x51261))
% 207.23/207.88 [5127]~E(x51274,f114(x51271))+E(f327(f327(f155(x51271,x51272),x51273),x51274),f114(x51272))
% 207.23/207.88 [5359]E(x53591,f114(x53592))+~E(f327(f327(f155(x53592,x53593),x53594),x53591),f114(x53593))
% 207.23/207.88 [5360]E(x53601,f114(x53602))+~E(f327(f327(f160(x53602,x53601),x53603),x53604),f114(x53602))
% 207.23/207.88 [5396]E(x53961,x53962)+~E(f327(f327(f135(x53963),x53964),x53961),f327(f327(f135(x53963),x53964),x53962))
% 207.23/207.88 [5397]E(x53971,x53972)+~E(f327(f327(f135(x53973),x53971),x53974),f327(f327(f135(x53973),x53972),x53974))
% 207.23/207.88 [5550]P1(f327(x55503,x55502))+E(f171(x55501,x55502,f327(f137(x55501,x55503),x55504)),f327(f137(x55501,x55503),x55504))
% 207.23/207.88 [5552]~P1(f327(x55522,x55523))+P31(x55521,x55522,f327(f327(f152(x55521),x55523),x55524))
% 207.23/207.88 [5562]E(x55621,x55622)+~E(f140(a915,f327(f302(a915,x55621),x55623)),f327(f327(f152(a915),x55622),x55624))
% 207.23/207.88 [5611]~P25(x56112,x56113)+P25(x56111,f327(f327(f73(x56112,x56111),x56113),x56114))
% 207.23/207.88 [5612]~P35(x56122,x56123)+P35(x56121,f327(f327(f288(x56122,x56121),x56123),x56124))
% 207.23/207.88 [5613]~P36(x56132,x56133)+P36(x56131,f327(f327(f288(x56132,x56131),x56133),x56134))
% 207.23/207.88 [5614]~P49(x56142,x56143)+P49(x56141,f327(f327(f288(x56142,x56141),x56143),x56144))
% 207.23/207.88 [5744]~P31(x57441,x57442,x57444)+P31(x57441,x57442,f327(f327(f152(x57441),x57443),x57444))
% 207.23/207.88 [5745]~P31(x57451,x57452,x57454)+P31(x57451,x57452,f327(f327(f135(x57451),x57453),x57454))
% 207.23/207.88 [5746]~P31(x57461,x57462,x57463)+P31(x57461,x57462,f327(f327(f135(x57461),x57463),x57464))
% 207.23/207.88 [5833]~E(x58331,f114(x58332))+~E(f327(f327(f135(x58332),x58333),f327(f327(f152(x58332),x58334),f114(x58332))),x58331)
% 207.23/207.88 [5858]~P29(x58583,x58581,f327(f327(f152(x58583),x58582),x58584))+P1(f327(x58581,x58582))
% 207.23/207.88 [5868]E(f115(x58681,x58682),x58683)+~E(f327(f327(f135(x58681),x58683),f327(f327(f152(x58681),x58684),f114(x58681))),x58682)
% 207.23/207.88 [5869]E(f145(x58691,x58692),x58693)+~E(f327(f327(f135(x58691),x58694),f327(f327(f152(x58691),x58693),f114(x58691))),x58692)
% 207.23/207.88 [5979]~E(f140(a915,f327(f302(a915,x59791),x59792)),f327(f327(f152(a915),x59793),x59794))+P1(f327(f327(f235(a915),x59791),x59792))
% 207.23/207.88 [5988]P29(x59881,x59882,x59883)+~P29(x59881,x59882,f327(f327(f152(x59881),x59884),x59883))
% 207.23/207.88 [5989]P29(x59891,x59892,x59893)+~P29(x59891,x59892,f327(f327(f135(x59891),x59894),x59893))
% 207.23/207.88 [5990]P29(x59901,x59902,x59903)+~P29(x59901,x59902,f327(f327(f135(x59901),x59903),x59904))
% 207.23/207.88 [6188]E(x61881,f327(f327(f135(x61882),f327(f169(x61882),x61883)),f327(f327(f152(x61882),x61884),f114(x61882))))+~E(f327(f169(x61882),x61881),f327(f327(f152(x61882),x61884),x61883))
% 207.23/207.88 [6370]~P110(x63701)+E(f327(f327(f103(f922(x63701,a910)),f327(f302(x63701,x63702),x63703)),f327(f302(x63701,x63703),x63704)),f190(f922(x63701,a910)))
% 207.23/207.88 [6381]E(f327(f327(f165(x63811),f170(x63811,x63812,x63813)),x63814),x63813)+~P1(f327(f327(f235(a915),x63814),x63812))
% 207.23/207.88 [6408]~P68(x64081)+E(f327(f166(x64081),f327(f327(f155(a1,x64081),x64082),f179(x64083,x64084))),f327(f327(f6(a1,x64081),x64082),f327(f173(a1),f179(x64083,x64084))))
% 207.23/207.88 [6409]~P68(x64091)+E(f327(f327(f6(a1,x64091),x64092),f327(f173(a1),f179(x64093,x64094))),f327(f166(x64091),f327(f327(f155(a1,x64091),x64092),f179(x64093,x64094))))
% 207.23/207.88 [6554]~E(x65542,f327(f327(f135(x65541),f327(f169(x65541),x65544)),f327(f327(f152(x65541),x65543),f114(x65541))))+E(f327(f169(x65541),x65542),f327(f327(f152(x65541),x65543),x65544))
% 207.23/207.88 [6570]~P17(x65702,x65703,x65704,x65701)+E(f327(x65701,f190(f922(x65702,a910))),f31(x65703))
% 207.23/207.88 [6595]~P110(x65951)+E(f327(f327(f103(f922(x65951,a910)),f306(x65951,x65952,x65953)),f327(f302(x65951,x65953),x65954)),f190(f922(x65951,a910)))
% 207.23/207.88 [6807]E(x68071,f190(f922(x68072,a910)))+~E(f313(x68073,x68072,x68074,x68071),f190(f922(f920(x68073,x68072),a910)))
% 207.23/207.88 [6808]E(x68081,f190(f922(x68082,a910)))+~E(f313(x68082,x68083,x68081,x68084),f190(f922(f920(x68082,x68083),a910)))
% 207.23/207.88 [6877]~P108(x68772)+E(f327(f191(f916(x68771)),f151(x68771,x68772,x68773,x68774)),f327(f191(f916(x68771)),x68774))
% 207.23/207.88 [6888]~P1(f327(f250(x68883,x68884,x68881),x68882))+P1(f327(f327(x68881,f542(x68882,x68881)),x68882))
% 207.23/207.88 [6931]~P1(f327(f35(x69312),x69314))+P1(f327(f35(x69311),f327(f310(x69312,x69311,x69313),x69314)))
% 207.23/207.88 [7163]~P23(x71632,x71631,x71633,x71634)+E(f327(f36(x71631),f327(f310(x71632,x71631,x71633),x71634)),f327(f36(x71632),x71634))
% 207.23/207.88 [7181]E(f327(f310(x71811,x71812,x71813),f327(f311(x71811,x71812,x71813),x71814)),x71814)+~E(f327(f310(x71811,x71812,x71813),f242(f922(x71811,a910))),f242(f922(x71812,a910)))
% 207.23/207.88 [7597]~P23(x75971,x75972,x75973,f242(f922(x75971,a910)))+E(f327(f311(x75971,x75972,x75973),f327(f310(x75971,x75972,x75973),x75974)),x75974)
% 207.23/207.88 [7878]E(x78781,x78782)+~P1(f327(f327(f329(x78783),x78781),f327(f173(x78783),f170(x78783,x78784,x78782))))
% 207.23/207.88 [7887]~E(x78871,f2(a915))+~P1(f327(f327(f329(x78872),x78873),f327(f173(x78872),f170(x78872,x78871,x78874))))
% 207.23/207.88 [7920]P1(f327(x79201,x79202))+~P1(f327(f327(f329(x79203),x79202),f327(f173(x79203),f178(x79203,x79201,x79204))))
% 207.23/207.88 [8028]~P1(f327(f327(f329(f916(x80281)),f327(f327(f152(x80281),x80282),x80284)),f162(x80281,x80283)))+P1(f327(f327(f329(x80281),x80282),x80283))
% 207.23/207.88 [8156]~P1(f327(f327(f329(x81561),x81562),f327(f173(x81561),f177(x81561,x81563,x81564))))+P1(f327(f327(f329(x81561),x81562),f327(f173(x81561),x81563)))
% 207.23/207.88 [8157]~P1(f327(f327(f329(x81571),x81572),f327(f173(x81571),f171(x81571,x81574,x81573))))+P1(f327(f327(f329(x81571),x81572),f327(f173(x81571),x81573)))
% 207.23/207.88 [8158]~P1(f327(f327(f329(x81581),x81582),f327(f173(x81581),f178(x81581,x81584,x81583))))+P1(f327(f327(f329(x81581),x81582),f327(f173(x81581),x81583)))
% 207.23/207.88 [8168]E(f327(f191(f916(x81681)),x81682),x81683)+~P1(f327(f327(f329(f916(x81681)),x81682),f327(f173(f916(x81681)),f56(x81681,x81683,x81684))))
% 207.23/207.88 [8263]P1(f327(x82633,x82632))+E(f327(f137(x82631,f327(f327(f8(a910,a910,x82631),a322),f327(a324,x82632))),f327(f137(x82631,x82633),x82634)),f327(f137(x82631,x82633),x82634))
% 207.23/207.88 [8375]E(f327(f327(f165(x83751),f178(x83751,x83752,x83753)),x83754),f327(f327(f165(x83751),x83753),x83754))+~P1(f327(f327(f235(a915),x83754),f327(f191(f916(x83751)),f178(x83751,x83752,x83753))))
% 207.23/207.88 [8461]~P68(x84611)+E(f327(f327(f6(a915,x84611),f327(f327(f8(a915,x84611,a915),x84612),a113)),f327(f302(a915,x84613),x84614)),f327(f327(f6(a915,x84611),x84612),f327(f302(a915,f327(a113,x84613)),f327(a113,x84614))))
% 207.23/207.88 [8470]~P68(x84701)+E(f327(f327(f6(a915,x84701),f327(f327(f8(a915,x84701,a915),x84702),a113)),f303(a915,x84703,x84704)),f327(f327(f6(a915,x84701),x84702),f303(a915,f327(a113,x84703),f327(a113,x84704))))
% 207.23/207.88 [8598]~P23(x85981,x85983,x85984,f242(f922(x85981,a910)))+P23(x85981,f922(x85982,x85983),f327(f327(f8(x85983,f922(x85982,x85983),x85981),f16(x85983,x85982)),x85984),f242(f922(x85981,a910)))
% 207.23/207.88 [8683]~P23(x86832,x86831,x86834,x86833)+E(f327(f310(x86831,x86832,f77(x86832,x86831,x86833,x86834)),f327(f310(x86832,x86831,x86834),x86833)),x86833)
% 207.23/207.88 [8743]~P1(f327(f327(f329(f921(x87431,x87431)),f327(f327(f252(x87431,x87431),x87432),x87434)),f263(x87431,x87433)))+P1(f327(f327(f329(x87431),x87432),x87433))
% 207.23/207.88 [8866]~P23(x88662,x88661,x88663,f242(f922(x88662,a910)))+E(f327(f310(x88661,x88662,f92(x88662,x88661,f242(f922(x88662,a910)),x88663)),f327(f310(x88662,x88661,x88663),x88664)),x88664)
% 207.23/207.88 [8941]~P24(x89411,x89412,x89413,x89414,f242(f922(x89412,a910)))+E(f327(f310(x89411,x89412,x89413),f242(f922(x89411,a910))),f242(f922(x89412,a910)))
% 207.23/207.88 [8974]~E(f327(f327(f6(x89741,a915),x89744),x89743),f327(a113,x89742))+P1(f327(f327(f329(x89741),f498(x89742,x89743,x89744,x89741)),x89743))
% 207.23/207.88 [8995]~E(f327(f327(f6(x89954,a915),x89951),x89953),f327(a113,x89952))+P1(f327(f327(f235(a915),f2(a915)),f327(x89951,f498(x89952,x89953,x89951,x89954))))
% 207.23/207.88 [9006]~P1(f327(f35(x90062),x90064))+P1(f327(f327(f234(a915),f327(f36(x90061),f327(f310(x90062,x90061,x90063),x90064))),f327(f36(x90062),x90064)))
% 207.23/207.88 [9007]E(f327(f327(f252(x90071,x90072),f636(x90073,x90074,x90072,x90071)),f637(x90073,x90074,x90072,x90071)),x90074)+~P1(f327(f327(f329(f921(x90071,x90072)),x90074),f327(f286(x90072,x90071),x90073)))
% 207.23/207.88 [9015]P23(x90151,x90152,x90153,x90154)+P1(f327(f327(f329(x90151),f457(x90154,x90153,x90152,x90151)),x90154))
% 207.23/207.88 [9016]P23(x90161,x90162,x90163,x90164)+P1(f327(f327(f329(x90161),f469(x90164,x90163,x90162,x90161)),x90164))
% 207.23/207.88 [9084]P9(x90841,x90842,x90843,x90844)+P1(f327(f327(f329(f921(x90841,x90841)),f578(x90844,x90843,x90842,x90841)),x90843))
% 207.23/207.88 [9142]P1(f327(x91421,x91422))+~P1(f327(x91421,f327(f327(f252(x91423,x91424),f517(x91424,x91423,x91421)),f518(x91424,x91423,x91421))))
% 207.23/207.88 [9159]E(f327(f191(f916(x91591)),x91592),f327(f191(f916(x91591)),x91593))+~P1(f327(f327(f329(f921(f916(x91591),f916(x91591))),f327(f327(f252(f916(x91591),f916(x91591)),x91592),x91593)),f146(x91591,x91594)))
% 207.23/207.88 [9160]E(f327(f191(f916(x91601)),x91602),f327(f191(f916(x91601)),x91603))+~P1(f327(f327(f329(f921(f916(x91601),f916(x91601))),f327(f327(f252(f916(x91601),f916(x91601)),x91602),x91603)),f158(x91601,x91604)))
% 207.23/207.88 [9163]E(f327(f191(f916(x91631)),x91632),f327(f191(f916(x91631)),x91633))+~P1(f327(f327(f329(f921(f916(x91631),f916(x91631))),f327(f327(f252(f916(x91631),f916(x91631)),x91632),x91633)),f159(x91631,x91634)))
% 207.23/207.88 [9232]P1(f327(f327(f234(a915),f156(x92321,x92322,x92323)),f156(x92321,x92324,x92323)))+P1(f327(f327(f329(x92321),f664(x92324,x92322,x92323,x92321)),f327(f173(x92321),x92323)))
% 207.23/207.88 [9235]E(f327(f191(f916(x92351)),x92352),f327(f191(f916(x92351)),x92353))+~P1(f327(f327(f329(f921(f916(x92351),f916(x92351))),f327(f327(f252(f916(x92351),f916(x92351)),x92352),x92353)),f307(f916(x92351),f158(x92351,x92354))))
% 207.23/207.88 [9470]~P23(x94701,x94702,x94703,x94704)+~P1(f327(f327(f235(a915),f327(f36(x94702),f327(f310(x94701,x94702,x94703),x94704))),f327(f36(x94701),x94704)))
% 207.23/207.88 [9517]~P1(f327(f327(f329(f921(f916(x95171),f916(x95171))),f327(f327(f252(f916(x95171),f916(x95171)),x95172),x95173)),f158(x95171,x95174)))+P1(f327(f327(f329(f921(f916(x95171),f916(x95171))),f327(f327(f252(f916(x95171),f916(x95171)),x95172),x95173)),f159(x95171,f307(x95171,x95174))))
% 207.23/207.88 [9521]~P1(f327(f327(f329(f921(f916(x95211),f916(x95211))),f327(f327(f252(f916(x95211),f916(x95211)),x95212),x95213)),f159(x95211,x95214)))+P1(f327(f327(f329(f921(f916(x95211),f916(x95211))),f327(f327(f252(f916(x95211),f916(x95211)),x95212),x95213)),f307(f916(x95211),f158(x95211,x95214))))
% 207.23/207.88 [9537]P1(f327(f327(f329(f921(x95371,x95371)),f327(f327(f252(x95371,x95371),x95372),x95373)),f307(x95371,x95374)))+~P1(f327(f327(f329(f921(x95371,x95371)),f327(f327(f252(x95371,x95371),x95372),x95373)),f327(f327(f289(x95371,x95371,x95371),x95374),f307(x95371,x95374))))
% 207.23/207.88 [9726]E(f327(f327(f135(x97261),f680(x97262,x97263,x97264,x97261)),f327(f327(f152(x97261),f681(x97262,x97263,x97264,x97261)),f683(x97262,x97263,x97264,x97261))),x97264)+~P1(f327(f327(f329(f921(f916(x97261),f916(x97261))),f327(f327(f252(f916(x97261),f916(x97261)),x97264),x97263)),f158(x97261,x97262)))
% 207.23/207.88 [9727]E(f327(f327(f135(x97271),f680(x97272,x97273,x97274,x97271)),f327(f327(f152(x97271),f682(x97272,x97273,x97274,x97271)),f683(x97272,x97273,x97274,x97271))),x97273)+~P1(f327(f327(f329(f921(f916(x97271),f916(x97271))),f327(f327(f252(f916(x97271),f916(x97271)),x97274),x97273)),f158(x97271,x97272)))
% 207.23/207.88 [9805]P1(f327(f327(f329(f921(x98051,x98051)),f327(f327(f252(x98051,x98051),x98052),f618(x98053,x98054,x98052,x98051))),f307(x98051,x98053)))+~P1(f327(f327(f329(f921(x98051,x98051)),f327(f327(f252(x98051,x98051),x98052),x98054)),f327(f327(f289(x98051,x98051,x98051),x98053),f307(x98051,x98053))))
% 207.23/207.88 [9873]P1(f327(f327(f234(a915),f156(x98731,x98732,x98733)),f156(x98731,x98734,x98733)))+~P1(f327(f327(f235(a915),f327(x98732,f664(x98734,x98732,x98733,x98731))),f327(x98734,f664(x98734,x98732,x98733,x98731))))
% 207.23/207.88 [9945]P1(f327(f327(f329(f921(x99451,x99451)),f327(f327(f252(x99451,x99451),f617(x99452,x99453,x99454,x99451)),x99453)),f307(x99451,x99452)))+~P1(f327(f327(f329(f921(x99451,x99451)),f327(f327(f252(x99451,x99451),x99454),x99453)),f327(f327(f289(x99451,x99451,x99451),x99452),f307(x99451,x99452))))
% 207.23/207.88 [5378]~E(x53782,x53783)+E(f171(x53781,x53782,f327(f327(f152(x53781),x53783),x53784)),x53784)
% 207.23/207.88 [5506]P1(f327(x55062,x55063))+E(f178(x55061,x55062,f327(f327(f152(x55061),x55063),x55064)),f114(x55061))
% 207.23/207.88 [5574]~P87(x55742)+E(f327(f327(f79(f922(x55741,x55742)),x55743),x55744),f327(f79(x55742),f327(x55743,x55744)))
% 207.23/207.88 [5587]~E(x55872,f2(a915))+E(f327(f327(f139(x55871),x55872),f327(f327(f152(x55871),x55873),x55874)),f327(f327(f152(x55871),x55873),x55874))
% 207.23/207.88 [5588]P1(f327(x55882,x55883))+E(f327(f137(x55881,x55882),f327(f327(f152(x55881),x55883),x55884)),f327(f137(x55881,x55882),x55884))
% 207.23/207.88 [5727]~E(x57272,x57274)+P1(f327(f327(f327(f309(x57271),x57272),x57273),x57274))
% 207.23/207.88 [5735]E(x57351,f114(x57352))+E(f145(x57353,f327(f327(f155(x57352,x57353),x57354),x57351)),f327(x57354,f145(x57352,x57351)))
% 207.23/207.88 [5749]~E(x57491,f63(x57492,x57494))+E(f327(x57491,f327(f327(f309(x57492),x57493),f190(f922(x57492,a910)))),x57493)
% 207.23/207.88 [5785]E(x57851,f114(x57852))+E(f327(f142(x57853),f327(f327(f155(x57852,x57853),x57854),x57851)),f327(x57854,f327(f142(x57852),x57851)))
% 207.23/207.88 [5888]~P1(f327(x58883,x58884))+P1(f327(f327(f327(f309(x58881),x58882),x58883),x58884))
% 207.23/207.88 [6007]~P16(x60072,x60074,x60071)+E(f327(x60071,f327(f327(f309(x60072),x60073),f190(f922(x60072,a910)))),x60073)
% 207.23/207.88 [6033]~E(x60332,x60333)+P1(f327(f327(f329(x60331),x60332),f327(f327(f309(x60331),x60333),x60334)))
% 207.23/207.88 [6038]~P112(x60381)+E(f327(f327(f80(x60381),x60382),f327(f327(f80(x60381),x60383),x60384)),f327(f327(f80(x60381),x60383),f327(f327(f80(x60381),x60382),x60384)))
% 207.23/207.88 [6039]~P112(x60391)+E(f327(f327(f81(x60391),x60392),f327(f327(f81(x60391),x60393),x60394)),f327(f327(f81(x60391),x60393),f327(f327(f81(x60391),x60392),x60394)))
% 207.23/207.88 [6041]~P108(x60411)+E(f327(f327(f238(x60411),x60412),f327(f327(f238(x60411),x60413),x60414)),f327(f327(f238(x60411),x60413),f327(f327(f238(x60411),x60412),x60414)))
% 207.23/207.88 [6043]~P108(x60431)+E(f327(f327(f189(x60431),x60432),f327(f327(f189(x60431),x60433),x60434)),f327(f327(f189(x60431),x60433),f327(f327(f189(x60431),x60432),x60434)))
% 207.23/207.88 [6044]~P96(x60441)+E(f327(f327(f102(x60441),x60442),f327(f327(f102(x60441),x60443),x60444)),f327(f327(f102(x60441),x60443),f327(f327(f102(x60441),x60442),x60444)))
% 207.23/207.88 [6046]~P101(x60461)+E(f327(f327(f102(x60461),x60462),f327(f327(f102(x60461),x60463),x60464)),f327(f327(f102(x60461),x60463),f327(f327(f102(x60461),x60462),x60464)))
% 207.23/207.88 [6047]~P96(x60471)+E(f327(f327(f103(x60471),x60472),f327(f327(f103(x60471),x60473),x60474)),f327(f327(f103(x60471),x60473),f327(f327(f103(x60471),x60472),x60474)))
% 207.23/207.88 [6049]~P102(x60491)+E(f327(f327(f103(x60491),x60492),f327(f327(f103(x60491),x60493),x60494)),f327(f327(f103(x60491),x60493),f327(f327(f103(x60491),x60492),x60494)))
% 207.23/207.88 [6056]E(x60561,x60562)+E(f171(x60563,x60561,f327(f327(f152(x60563),x60562),x60564)),f327(f327(f152(x60563),x60562),f171(x60563,x60561,x60564)))
% 207.23/207.88 [6071]~P1(f327(x60712,x60713))+E(f327(f137(x60711,x60712),f327(f327(f152(x60711),x60713),x60714)),f327(f327(f152(x60711),x60713),f327(f137(x60711,x60712),x60714)))
% 207.23/207.88 [6209]~P1(f327(x62092,x62093))+E(f178(x62091,x62092,f327(f327(f152(x62091),x62093),x62094)),f327(f327(f152(x62091),x62093),f178(x62091,x62092,x62094)))
% 207.23/207.88 [6261]P22(x62611,x62612,x62613)+~P22(x62611,x62612,f327(f327(f309(f913(x62611)),x62614),x62613))
% 207.23/207.88 [6277]E(x62771,f190(f922(x62772,a910)))+E(f327(f327(f40(x62772,f922(x62773,a910)),x62771),f327(f16(f922(x62773,a910),x62772),x62774)),x62774)
% 207.23/207.88 [6278]E(x62781,f190(f922(x62782,a910)))+E(f327(f327(f41(x62782,f922(x62783,a910)),x62781),f327(f16(f922(x62783,a910),x62782),x62784)),x62784)
% 207.23/207.88 [6287]~E(x62874,f190(f922(x62872,a910)))+E(f327(f327(f254(x62871,x62872),x62873),f327(f16(f922(x62872,a910),x62871),x62874)),f190(f922(f921(x62871,x62872),a910)))
% 207.23/207.88 [6288]~E(x62883,f190(f922(x62881,a910)))+E(f327(f327(f254(x62881,x62882),x62883),f327(f16(f922(x62882,a910),x62881),x62884)),f190(f922(f921(x62881,x62882),a910)))
% 207.23/207.88 [6342]E(x63421,f2(a915))+E(f327(f327(f139(x63422),x63421),f327(f327(f152(x63422),x63423),x63424)),f327(f327(f139(x63422),f327(f327(f23(a915),x63421),f78(a915))),x63424))
% 207.23/207.88 [6363]E(x63631,f190(f922(x63632,a910)))+E(f327(f310(x63632,x63633,f327(f16(x63633,x63632),x63634)),x63631),f327(f327(f309(x63633),x63634),f190(f922(x63633,a910))))
% 207.23/207.88 [6366]E(f327(f311(x63661,x63662,f327(f16(x63662,x63661),x63663)),x63664),f190(f922(x63661,a910)))+P1(f327(f327(f329(x63662),x63663),x63664))
% 207.23/207.88 [6432]~E(x64323,f190(f922(x64321,a910)))+E(f327(f327(f40(x64321,f922(x64322,a910)),x64323),f327(f16(f922(x64322,a910),x64321),x64324)),f190(f922(x64322,a910)))
% 207.23/207.88 [6433]~E(x64333,f190(f922(x64331,a910)))+E(f327(f327(f41(x64331,f922(x64332,a910)),x64333),f327(f16(f922(x64332,a910),x64331),x64334)),f242(f922(x64332,a910)))
% 207.23/207.88 [6435]~P58(x64351)+E(f46(x64351,f327(f327(f81(x64351),x64352),x64353),f327(f327(f81(x64351),x64352),x64354)),f327(f327(f81(x64351),x64352),f46(x64351,x64353,x64354)))
% 207.23/207.88 [6605]E(f327(f311(x66051,x66052,f327(f16(x66052,x66051),x66053)),x66054),f242(f922(x66051,a910)))+~P1(f327(f327(f329(x66052),x66053),x66054))
% 207.23/207.88 [6628]~P1(f327(f327(f329(x66281),x66282),x66284))+P1(f327(f327(f329(x66281),x66282),f327(f327(f309(x66281),x66283),x66284)))
% 207.23/207.88 [6633]P1(f327(x66331,x66332))+~P1(f327(f161(x66333,x66331),f327(f327(f152(x66333),x66332),x66334)))
% 207.23/207.88 [6642]~E(x66423,f327(f327(f23(a915),f327(f191(f916(x66421)),x66422)),f78(a915)))+E(f115(x66421,f327(f327(f160(x66421,x66422),x66423),x66424)),f115(x66421,x66422))
% 207.23/207.88 [6662]~P108(x66621)+E(f327(f327(f103(f922(x66621,a910)),f327(f301(x66621),x66622)),f303(x66621,x66623,x66624)),f303(x66621,x66623,f327(f327(f238(x66621),x66622),x66624)))
% 207.23/207.88 [6663]~P108(x66631)+E(f327(f327(f103(f922(x66631,a910)),f327(f283(x66631),x66632)),f303(x66631,x66633,x66634)),f303(x66631,f327(f327(f189(x66631),x66632),x66633),x66634))
% 207.23/207.88 [6679]E(f327(f327(f103(f922(x66791,a910)),x66792),f327(f327(f309(x66791),x66793),x66794)),f327(f327(f103(f922(x66791,a910)),x66792),x66794))+P1(f327(f327(f329(x66791),x66793),x66792))
% 207.23/207.88 [6691]E(f171(x66911,x66912,f327(f327(f135(x66911),x66913),x66914)),f327(f327(f135(x66911),x66913),f171(x66911,x66912,x66914)))+P1(f327(f327(f329(x66911),x66912),f327(f173(x66911),x66913)))
% 207.23/207.88 [6696]~P80(x66961)+E(f327(f327(f81(x66961),f327(f327(f244(x66961),x66962),x66963)),f327(f327(f244(x66961),x66962),x66964)),f327(f327(f244(x66961),x66962),f327(f327(f80(a915),x66963),x66964)))
% 207.23/207.88 [6697]~P112(x66971)+E(f327(f327(f81(x66971),f327(f327(f244(x66971),x66972),x66973)),f327(f327(f244(x66971),x66972),x66974)),f327(f327(f244(x66971),x66972),f327(f327(f80(a915),x66973),x66974)))
% 207.23/207.88 [6734]~P112(x67341)+E(f327(f327(f80(x67341),f327(f327(f81(x67341),x67342),x67343)),f327(f327(f81(x67341),x67342),x67344)),f327(f327(f81(x67341),x67342),f327(f327(f80(x67341),x67343),x67344)))
% 207.23/207.88 [6735]~P108(x67351)+E(f327(f327(f189(x67351),f327(f327(f238(x67351),x67352),x67353)),f327(f327(f238(x67351),x67352),x67354)),f327(f327(f238(x67351),x67352),f327(f327(f189(x67351),x67353),x67354)))
% 207.23/207.88 [6736]~P108(x67361)+E(f327(f327(f238(x67361),f327(f327(f189(x67361),x67362),x67363)),f327(f327(f189(x67361),x67362),x67364)),f327(f327(f189(x67361),x67362),f327(f327(f238(x67361),x67363),x67364)))
% 207.23/207.88 [6737]~P100(x67371)+E(f327(f327(f103(x67371),f327(f327(f102(x67371),x67372),x67373)),f327(f327(f102(x67371),x67372),x67374)),f327(f327(f102(x67371),x67372),f327(f327(f103(x67371),x67373),x67374)))
% 207.23/207.88 [6738]~P100(x67381)+E(f327(f327(f102(x67381),f327(f327(f103(x67381),x67382),x67383)),f327(f327(f103(x67381),x67382),x67384)),f327(f327(f103(x67381),x67382),f327(f327(f102(x67381),x67383),x67384)))
% 207.23/207.88 [6770]~P58(x67701)+E(f46(x67701,f327(f327(f81(x67701),x67702),x67703),f327(f327(f81(x67701),x67704),x67703)),f327(f327(f81(x67701),f46(x67701,x67702,x67704)),x67703))
% 207.23/207.88 [6773]~E(f327(f191(f916(x67731)),x67733),f327(f191(f916(x67732)),x67734))+E(f327(f327(f155(f921(x67731,x67732),x67732),f256(x67731,x67732)),f327(f327(f182(x67731,x67732),x67733),x67734)),x67734)
% 207.23/207.88 [6774]~E(f327(f191(f916(x67741)),x67743),f327(f191(f916(x67742)),x67744))+E(f327(f327(f155(f921(x67741,x67742),x67741),f251(x67741,x67742)),f327(f327(f182(x67741,x67742),x67743),x67744)),x67743)
% 207.23/207.88 [6779]P1(f327(f161(x67791,x67792),x67793))+~P1(f327(f161(x67791,x67792),f327(f327(f152(x67791),x67794),x67793)))
% 207.23/207.88 [6780]P1(f327(f161(x67801,x67802),x67803))+~P1(f327(f161(x67801,x67802),f327(f327(f135(x67801),x67804),x67803)))
% 207.23/207.88 [6781]P1(f327(f161(x67811,x67812),x67813))+~P1(f327(f161(x67811,x67812),f327(f327(f135(x67811),x67813),x67814)))
% 207.23/207.88 [6786]~P59(x67861)+E(f46(x67861,f327(f327(f23(x67861),x67862),f46(x67861,x67863,x67864)),x67864),f46(x67861,f327(f327(f23(x67861),x67862),x67863),x67864))
% 207.23/207.88 [6788]~P58(x67881)+E(f46(x67881,f327(f327(f81(x67881),x67882),f46(x67881,x67883,x67884)),x67884),f46(x67881,f327(f327(f81(x67881),x67882),x67883),x67884))
% 207.23/207.88 [6789]~P58(x67891)+E(f46(x67891,f327(f327(f80(x67891),x67892),f46(x67891,x67893,x67894)),x67894),f46(x67891,f327(f327(f80(x67891),x67892),x67893),x67894))
% 207.23/207.88 [6870]~P108(x68701)+E(f327(f327(f103(f922(x68701,a910)),f303(x68701,x68702,x68703)),f327(f301(x68701),x68704)),f303(x68701,x68702,f327(f327(f238(x68701),x68703),x68704)))
% 207.23/207.88 [6871]~P108(x68711)+E(f327(f327(f103(f922(x68711,a910)),f303(x68711,x68712,x68713)),f327(f283(x68711),x68714)),f303(x68711,f327(f327(f189(x68711),x68712),x68714),x68713))
% 207.23/207.88 [6874]~E(f327(f191(f916(x68741)),x68743),f327(f191(f916(x68742)),x68744))+E(f327(f327(f182(x68741,x68742),f327(f169(x68741),x68743)),f327(f169(x68742),x68744)),f327(f169(f921(x68741,x68742)),f327(f327(f182(x68741,x68742),x68743),x68744)))
% 207.23/207.88 [6885]E(x68851,f327(f327(f23(a915),f327(f191(f916(x68852)),x68853)),f78(a915)))+E(f115(x68852,f327(f327(f160(x68852,x68853),x68851),x68854)),f327(f327(f160(x68852,f115(x68852,x68853)),x68851),x68854))
% 207.23/207.88 [6899]~P1(f327(f138(x68992),x68994))+P1(f327(f138(f921(x68991,x68992)),f327(f327(f182(x68991,x68992),x68993),x68994)))
% 207.23/207.88 [6900]~P1(f327(f138(x69001),x69003))+P1(f327(f138(f921(x69001,x69002)),f327(f327(f182(x69001,x69002),x69003),x69004)))
% 207.23/207.88 [7166]E(f327(f327(f37(a915),x71661),x71662),x71663)+~P1(f327(f49(x71661,x71662),f327(f327(f252(a915,a915),x71663),x71664)))
% 207.23/207.88 [7189]E(f46(a915,x71891,x71892),x71893)+~P1(f327(f49(x71891,x71892),f327(f327(f252(a915,a915),x71894),x71893)))
% 207.23/207.88 [7192]P1(f327(f138(x71921),x71922))+~P1(f327(f138(x71923),f327(f327(f155(x71921,x71923),x71924),x71922)))
% 207.23/207.88 [7200]~P22(x72001,x72002,f327(f327(f309(f913(x72001)),x72003),x72004))+P22(x72001,x72002,f327(f327(f309(f913(x72001)),x72003),f190(f922(f913(x72001),a910))))
% 207.23/207.88 [7277]E(f171(x72771,x72772,f327(f327(f135(x72771),x72773),x72774)),f327(f327(f135(x72771),f171(x72771,x72772,x72773)),x72774))+~P1(f327(f327(f329(x72771),x72772),f327(f173(x72771),x72773)))
% 207.23/207.88 [7370]~P59(x73701)+E(f46(x73701,f327(f327(f23(x73701),f46(x73701,x73702,x73703)),x73704),x73703),f46(x73701,f327(f327(f23(x73701),x73702),x73704),x73703))
% 207.23/207.88 [7373]~P58(x73731)+E(f46(x73731,f327(f327(f80(x73731),f46(x73731,x73732,x73733)),x73734),x73733),f46(x73731,f327(f327(f80(x73731),x73732),x73734),x73733))
% 207.23/207.88 [7374]~P58(x73741)+E(f46(x73741,f327(f327(f81(x73741),f46(x73741,x73742,x73743)),x73744),x73743),f46(x73741,f327(f327(f81(x73741),x73742),x73744),x73743))
% 207.23/207.88 [7568]~E(x75681,f327(f327(f152(x75682),x75683),x75684))+~P1(f327(f327(f234(a915),f327(f191(f916(x75682)),x75681)),f327(f191(f916(x75682)),x75684)))
% 207.23/207.88 [7769]P23(x77691,x77692,x77693,f327(f173(x77691),x77694))+~P1(f327(f138(x77692),f327(f327(f155(x77691,x77692),x77693),x77694)))
% 207.23/207.88 [7844]~P1(f327(f327(f234(f922(x78441,a910)),x78442),x78444))+P1(f327(f327(f234(f922(x78441,a910)),x78442),f327(f327(f309(x78441),x78443),x78444)))
% 207.23/207.88 [7879]~P59(x78791)+E(f46(x78791,f327(f327(f23(x78791),f46(x78791,x78792,x78793)),f46(x78791,x78794,x78793)),x78793),f46(x78791,f327(f327(f23(x78791),x78792),x78794),x78793))
% 207.23/207.88 [7880]~P58(x78801)+E(f46(x78801,f327(f327(f80(x78801),f46(x78801,x78802,x78803)),f46(x78801,x78804,x78803)),x78803),f46(x78801,f327(f327(f80(x78801),x78802),x78804),x78803))
% 207.23/207.88 [7881]~P58(x78811)+E(f46(x78811,f327(f327(f81(x78811),f46(x78811,x78812,x78813)),f46(x78811,x78814,x78813)),x78813),f46(x78811,f327(f327(f81(x78811),x78812),x78814),x78813))
% 207.23/207.88 [7983]~E(f327(x79834,f899(x79834,x79833,x79831,x79832)),f190(f922(x79832,a910)))+E(f327(f327(f40(x79831,f922(x79832,a910)),x79833),x79834),f190(f922(x79832,a910)))
% 207.23/207.88 [7984]~E(f327(x79844,f340(x79844,x79843,x79841,x79842)),f242(f922(x79842,a910)))+E(f327(f327(f41(x79841,f922(x79842,a910)),x79843),x79844),f242(f922(x79842,a910)))
% 207.23/207.88 [7985]~E(f327(x79854,f900(x79854,x79853,x79852,x79851)),f190(f922(x79852,a910)))+E(f327(f327(f40(x79851,f922(x79852,a910)),x79853),x79854),f190(f922(x79852,a910)))
% 207.23/207.88 [7986]~E(f327(x79864,f341(x79864,x79863,x79862,x79861)),f242(f922(x79862,a910)))+E(f327(f327(f41(x79861,f922(x79862,a910)),x79863),x79864),f242(f922(x79862,a910)))
% 207.23/207.88 [8376]P1(f327(x83761,x83762))+~P1(f327(f327(f329(x83763),x83762),f327(f327(f103(f922(x83763,a910)),x83764),f327(f262(x83763),x83761))))
% 207.23/207.88 [8413]~P1(f327(f327(f234(f922(x84131,a910)),x84133),x84134))+P1(f327(f327(f234(f922(x84131,a910)),f327(f327(f309(x84131),x84132),x84133)),f327(f327(f309(x84131),x84132),x84134)))
% 207.23/207.88 [8591]P1(f327(x85912,x85913))+E(f327(f327(f139(x85911),f327(f191(f916(x85911)),f178(x85911,x85912,f327(f327(f152(x85911),x85913),x85914)))),f327(f327(f152(x85911),x85913),x85914)),f327(f327(f152(x85911),x85913),x85914))
% 207.23/207.88 [8697]~P1(f327(f327(f235(a915),f327(x86974,x86972)),f327(x86974,x86973)))+P1(f327(f327(f329(f921(x86971,x86971)),f327(f327(f252(x86971,x86971),x86972),x86973)),f327(f327(f288(a915,x86971),a240),x86974)))
% 207.23/207.88 [8793]~P1(f327(x87932,f736(x87934,x87932,x87933,x87931)))+E(f178(x87931,x87932,f327(f327(f135(x87931),x87933),x87934)),f327(f327(f135(x87931),x87933),f178(x87931,x87932,x87934)))
% 207.23/207.88 [8870]P23(f916(x88701),f916(x88702),f327(f155(x88701,x88702),x88703),x88704)+~P23(x88701,x88702,x88703,f38(f922(x88701,a910),f327(f310(f916(x88701),f922(x88701,a910),f173(x88701)),x88704)))
% 207.23/207.88 [8945]~P1(f327(x89452,x89453))+E(f327(f327(f139(x89451),f327(f191(f916(x89451)),f178(x89451,x89452,f327(f327(f152(x89451),x89453),x89454)))),f327(f327(f152(x89451),x89453),x89454)),f327(f327(f139(x89451),f327(f191(f916(x89451)),f178(x89451,x89452,x89454))),x89454))
% 207.23/207.88 [8986]~E(x89862,x89863)+E(f327(f137(x89861,f327(f327(f8(a910,a910,x89861),a322),f327(a324,x89862))),f327(f327(f152(x89861),x89863),x89864)),f327(f137(x89861,f327(f327(f8(a910,a910,x89861),a322),f327(a324,x89862))),x89864))
% 207.23/207.88 [8996]E(f327(f327(f40(x89961,f922(x89962,a910)),x89963),x89964),f190(f922(x89962,a910)))+P1(f327(f327(f329(x89961),f899(x89964,x89963,x89961,x89962)),x89963))
% 207.23/207.88 [8997]E(f327(f327(f41(x89971,f922(x89972,a910)),x89973),x89974),f242(f922(x89972,a910)))+P1(f327(f327(f329(x89971),f340(x89974,x89973,x89971,x89972)),x89973))
% 207.23/207.88 [8998]E(f327(f327(f40(x89981,f922(x89982,a910)),x89983),x89984),f190(f922(x89982,a910)))+P1(f327(f327(f329(x89981),f900(x89984,x89983,x89982,x89981)),x89983))
% 207.23/207.88 [8999]E(f327(f327(f41(x89991,f922(x89992,a910)),x89993),x89994),f242(f922(x89992,a910)))+P1(f327(f327(f329(x89991),f341(x89994,x89993,x89992,x89991)),x89993))
% 207.23/207.88 [9037]P1(f327(f327(f235(a915),f327(x90371,x90372)),f327(x90371,x90373)))+~P1(f327(f327(f329(f921(x90374,x90374)),f327(f327(f252(x90374,x90374),x90372),x90373)),f327(f327(f288(a915,x90374),a240),x90371)))
% 207.23/207.88 [9063]E(f178(x90631,x90632,f327(f327(f135(x90631),x90633),x90634)),f327(f327(f135(x90631),x90633),f178(x90631,x90632,x90634)))+P1(f327(f327(f329(x90631),f736(x90634,x90632,x90633,x90631)),f327(f173(x90631),x90633)))
% 207.23/207.88 [9118]~P24(x91181,x91182,x91183,f242(f922(x91181,a910)),f242(f922(x91182,a910)))+E(f327(f310(x91181,x91182,x91183),f327(f79(f922(x91181,a910)),x91184)),f327(f79(f922(x91182,a910)),f327(f310(x91181,x91182,x91183),x91184)))
% 207.23/207.88 [9221]P1(f327(f327(f329(x92211),f499(x92212,x92213,x92214,x92211)),x92213))+~P1(f327(f327(f329(f922(x92211,a910)),x92214),f327(f327(f61(x92211),x92213),x92212)))
% 207.23/207.88 [9224]E(x92241,x92242)+~P1(f327(f327(f329(f921(x92243,x92243)),f327(f327(f252(x92243,x92243),x92241),x92242)),f327(f327(f184(f921(x92243,x92243),a910),f2(a915)),x92244)))
% 207.23/207.88 [9305]E(f327(f285(x93051,x93051,x93052),f327(f327(f309(x93051),f499(x93052,x93053,x93054,x93051)),f190(f922(x93051,a910)))),x93054)+~P1(f327(f327(f329(f922(x93051,a910)),x93054),f327(f327(f61(x93051),x93053),x93052)))
% 207.23/207.88 [9310]~P1(f327(f327(f329(f921(x93101,x93101)),f327(f327(f252(x93101,x93101),x93103),x93102)),f307(x93101,x93104)))+P1(f327(f327(f329(f921(x93101,x93101)),f327(f327(f252(x93101,x93101),x93102),x93103)),f307(x93101,f327(f286(x93101,x93101),x93104))))
% 207.23/207.88 [9323]~P58(x93231)+E(f327(f327(f80(x93231),f327(f327(f80(x93231),f327(f327(f81(x93231),x93232),f327(f327(f37(x93231),x93233),x93232))),f46(x93231,x93233,x93232))),x93234),f327(f327(f80(x93231),x93233),x93234))
% 207.23/207.88 [9334]~P1(f327(f327(f329(x93341),x93343),x93344))+P1(f327(f327(f329(f922(x93341,a910)),f327(f285(x93341,x93341,x93342),f327(f327(f309(x93341),x93343),f190(f922(x93341,a910))))),f327(f327(f61(x93341),x93344),x93342)))
% 207.23/207.88 [9346]P1(f327(f327(f329(f921(x93461,x93461)),f327(f327(f252(x93461,x93461),x93462),x93463)),f307(x93461,x93464)))+~P1(f327(f327(f329(f921(x93461,x93461)),f327(f327(f252(x93461,x93461),x93463),x93462)),f307(x93461,f327(f286(x93461,x93461),x93464))))
% 207.23/207.88 [9431]E(f327(f327(f160(x94311,f327(f169(x94311),x94312)),f327(f327(f23(a915),f327(f327(f23(a915),f327(f191(f916(x94311)),x94312)),x94313)),f78(a915))),x94314),f327(f169(x94311),f327(f327(f160(x94311,x94312),x94313),x94314)))+~P1(f327(f327(f235(a915),x94313),f327(f191(f916(x94311)),x94312)))
% 207.23/207.88 [9434]~P1(f327(x94342,f730(x94344,x94342,x94343,x94341)))+E(f327(f327(f139(x94341),f327(f191(f916(x94341)),f178(x94341,x94342,f327(f327(f135(x94341),x94343),x94344)))),f327(f327(f135(x94341),x94343),x94344)),f327(f327(f139(x94341),f327(f191(f916(x94341)),f178(x94341,x94342,x94344))),x94344))
% 207.23/207.88 [9478]~P23(x94782,x94781,x94783,f242(f922(x94782,a910)))+P1(f327(f327(f234(f922(x94781,a910)),f327(f310(x94782,x94781,x94783),f327(f79(f922(x94782,a910)),x94784))),f327(f79(f922(x94781,a910)),f327(f310(x94782,x94781,x94783),x94784))))
% 207.23/207.88 [9490]~P3(x94901)+E(f327(f143(x94901,x94902,f327(f7(x94902,x94901,x94901),f327(f327(f8(x94901,f922(x94901,x94901),x94902),f102(x94901)),x94903)),f190(x94901)),x94904),f327(f327(f40(x94902,x94901),f327(f173(x94902),x94904)),x94903))
% 207.23/207.88 [9491]~P3(x94911)+E(f327(f143(x94911,x94912,f327(f7(x94912,x94911,x94911),f327(f327(f8(x94911,f922(x94911,x94911),x94912),f103(x94911)),x94913)),f242(x94911)),x94914),f327(f327(f41(x94912,x94911),f327(f173(x94912),x94914)),x94913))
% 207.23/207.88 [9501]E(f327(f327(f139(x95011),f327(f191(f916(x95011)),f178(x95011,x95012,f327(f327(f135(x95011),x95013),x95014)))),f327(f327(f135(x95011),x95013),x95014)),f327(f327(f139(x95011),f327(f191(f916(x95011)),f178(x95011,x95012,x95014))),x95014))+P1(f327(f327(f329(x95011),f730(x95014,x95012,x95013,x95011)),f327(f173(x95011),x95013)))
% 207.23/207.88 [9571]~P1(f327(f327(f329(f921(f916(x95714),f916(x95714))),f327(f327(f252(f916(x95714),f916(x95714)),x95713),x95712)),f158(x95714,x95711)))+P1(f327(f327(f235(a915),f666(x95711,x95712,x95713,x95714)),f327(f191(f916(x95714)),x95713)))
% 207.23/207.88 [9572]~P58(x95721)+E(f327(f327(f80(x95721),f327(f327(f80(x95721),f327(f327(f81(x95721),f327(f327(f37(x95721),x95722),x95723)),x95723)),f46(x95721,x95722,x95723))),x95724),f327(f327(f80(x95721),x95722),x95724))
% 207.23/207.88 [9601]~P1(f327(f327(f329(f921(f916(x96011),f916(x96011))),f327(f327(f252(f916(x96011),f916(x96011)),x96012),x96013)),f327(f286(f916(x96011),f916(x96011)),f158(x96011,x96014))))+P1(f327(f327(f329(f921(f916(x96011),f916(x96011))),f327(f327(f252(f916(x96011),f916(x96011)),x96012),x96013)),f158(x96011,f327(f286(x96011,x96011),x96014))))
% 207.23/207.88 [9602]P1(f327(f327(f329(f921(f916(x96021),f916(x96021))),f327(f327(f252(f916(x96021),f916(x96021)),x96022),x96023)),f327(f286(f916(x96021),f916(x96021)),f158(x96021,x96024))))+~P1(f327(f327(f329(f921(f916(x96021),f916(x96021))),f327(f327(f252(f916(x96021),f916(x96021)),x96022),x96023)),f158(x96021,f327(f286(x96021,x96021),x96024))))
% 207.23/207.88 [9641]~P1(f327(f327(f329(x96411),x96413),f327(f264(x96411,x96412),x96414)))+P1(f327(f327(f329(f921(x96411,x96412)),f327(f327(f252(x96411,x96412),x96413),f550(x96414,x96412,x96413,x96411))),x96414))
% 207.23/207.88 [9642]~P1(f327(f327(f329(x96421),x96423),f327(f264(x96421,x96422),x96424)))+P1(f327(f327(f329(f921(x96421,x96422)),f327(f327(f252(x96421,x96422),x96423),f552(x96424,x96422,x96423,x96421))),x96424))
% 207.23/207.88 [9800]~P1(f327(f327(f329(f921(x98001,x98001)),f327(f327(f252(x98001,x98001),x98002),x98004)),f327(f327(f289(x98001,x98001,x98001),x98003),f307(x98001,x98003))))+P1(f327(f327(f329(f921(x98001,x98001)),f327(f327(f252(x98001,x98001),x98002),f617(x98003,x98004,x98002,x98001))),x98003))
% 207.23/207.88 [9959]P9(x99591,x99592,x99593,x99594)+P1(f327(f327(f329(f921(x99591,x99591)),f327(f327(f252(x99591,x99591),f826(x99592,x99594,x99593,x99591)),f825(x99592,x99594,x99593,x99591))),x99593))
% 207.23/207.88 [9966]~P1(f327(f327(f329(f921(x99662,x99661)),x99664),f327(f286(x99661,x99662),x99663)))+P1(f327(f327(f329(f921(x99661,x99662)),f327(f327(f252(x99661,x99662),f637(x99663,x99664,x99661,x99662)),f636(x99663,x99664,x99661,x99662))),x99663))
% 207.23/207.88 [9990]~P1(f327(f327(f329(f921(f916(x99901),f916(x99901))),f327(f327(f252(f916(x99901),f916(x99901)),x99904),x99903)),f158(x99901,x99902)))+P1(f327(f327(f329(f921(x99901,x99901)),f327(f327(f252(x99901,x99901),f681(x99902,x99903,x99904,x99901)),f682(x99902,x99903,x99904,x99901))),x99902))
% 207.23/207.88 [10081]~P1(f327(f327(f329(f921(f916(x100811),f916(x100811))),f327(f327(f252(f916(x100811),f916(x100811)),x100812),x100814)),f158(x100811,x100813)))+P1(f327(f327(f329(f921(x100811,x100811)),f327(f327(f252(x100811,x100811),f327(f327(f165(x100811),x100812),f666(x100813,x100814,x100812,x100811))),f665(x100813,x100814,x100812,x100811))),x100813))
% 207.23/207.88 [10102]~P1(f327(f35(x101022),x101024))+E(f327(f327(f327(f65(f922(x101021,a910),x101022,f102(f922(x101021,a910))),f327(f327(f7(x101022,f922(x101021,a910),f922(x101021,a910)),f327(f327(f8(x101021,f922(f922(x101021,a910),f922(x101021,a910)),x101022),f309(x101021)),x101023)),f190(f922(x101021,a910)))),f190(f922(x101021,a910))),x101024),f327(f310(x101022,x101021,x101023),x101024))
% 207.23/207.88 [10213]~P23(x102131,x102132,x102133,f242(f922(x102131,a910)))+P1(f327(f327(f234(f922(x102131,a910)),f327(f311(x102131,x102132,x102133),f327(f327(f309(x102132),x102134),f190(f922(x102132,a910))))),f327(f327(f309(x102131),f85(x102131,f327(f327(f7(x102131,x102132,a910),f327(f327(f8(x102132,f922(x102132,a910),x102131),a324),x102133)),x102134))),f190(f922(x102131,a910)))))
% 207.23/207.88 [5796]~E(f327(f327(f135(x57961),x57962),x57964),x57963)+E(f327(f327(f176(x57961),f327(f191(f916(x57961)),x57962)),x57963),x57962)
% 207.23/207.88 [5797]~E(f327(f327(f135(x57972),x57973),x57971),x57974)+E(x57971,f327(f327(f139(x57972),f327(f191(f916(x57972)),x57973)),x57974))
% 207.23/207.88 [5808]~E(x58084,f2(a915))+E(f327(f327(f165(x58081),f327(f327(f152(x58081),x58082),x58083)),x58084),x58082)
% 207.23/207.88 [6355]~P112(x63551)+E(f327(f327(f244(x63551),f327(f327(f244(x63551),x63552),x63553)),x63554),f327(f327(f244(x63551),x63552),f327(f327(f81(a915),x63553),x63554)))
% 207.23/207.88 [6356]~P80(x63561)+E(f327(f327(f244(x63561),f327(f327(f244(x63561),x63562),x63563)),x63564),f327(f327(f244(x63561),x63562),f327(f327(f81(a915),x63563),x63564)))
% 207.23/207.88 [6364]E(x63641,f2(a915))+E(f327(f327(f165(x63642),f327(f327(f152(x63642),x63643),x63644)),x63641),f327(f327(f165(x63642),x63644),f327(f327(f23(a915),x63641),f78(a915))))
% 207.23/207.88 [6392]~P122(x63921)+E(f327(f327(f291(x63921),f327(f327(f81(x63921),x63922),x63923)),x63924),f327(f327(f81(x63921),x63922),f327(f327(f291(x63921),x63923),x63924)))
% 207.23/207.88 [6393]~P71(x63931)+E(f327(f327(f80(x63931),f327(f327(f80(x63931),x63932),x63933)),x63934),f327(f327(f80(x63931),x63932),f327(f327(f80(x63931),x63933),x63934)))
% 207.23/207.88 [6394]~P112(x63941)+E(f327(f327(f80(x63941),f327(f327(f80(x63941),x63942),x63943)),x63944),f327(f327(f80(x63941),x63942),f327(f327(f80(x63941),x63943),x63944)))
% 207.23/207.88 [6395]~P72(x63951)+E(f327(f327(f81(x63951),f327(f327(f81(x63951),x63952),x63953)),x63954),f327(f327(f81(x63951),x63952),f327(f327(f81(x63951),x63953),x63954)))
% 207.23/207.88 [6396]~P112(x63961)+E(f327(f327(f81(x63961),f327(f327(f81(x63961),x63962),x63963)),x63964),f327(f327(f81(x63961),x63962),f327(f327(f81(x63961),x63963),x63964)))
% 207.23/207.88 [6399]~P108(x63991)+E(f327(f327(f238(x63991),f327(f327(f238(x63991),x63992),x63993)),x63994),f327(f327(f238(x63991),x63992),f327(f327(f238(x63991),x63993),x63994)))
% 207.23/207.88 [6401]~P108(x64011)+E(f327(f327(f189(x64011),f327(f327(f189(x64011),x64012),x64013)),x64014),f327(f327(f189(x64011),x64012),f327(f327(f189(x64011),x64013),x64014)))
% 207.23/207.88 [6402]~P96(x64021)+E(f327(f327(f102(x64021),f327(f327(f102(x64021),x64022),x64023)),x64024),f327(f327(f102(x64021),x64022),f327(f327(f102(x64021),x64023),x64024)))
% 207.23/207.88 [6404]~P101(x64041)+E(f327(f327(f102(x64041),f327(f327(f102(x64041),x64042),x64043)),x64044),f327(f327(f102(x64041),x64042),f327(f327(f102(x64041),x64043),x64044)))
% 207.23/207.88 [6405]~P96(x64051)+E(f327(f327(f103(x64051),f327(f327(f103(x64051),x64052),x64053)),x64054),f327(f327(f103(x64051),x64052),f327(f327(f103(x64051),x64053),x64054)))
% 207.23/207.88 [6407]~P102(x64071)+E(f327(f327(f103(x64071),f327(f327(f103(x64071),x64072),x64073)),x64074),f327(f327(f103(x64071),x64072),f327(f327(f103(x64071),x64073),x64074)))
% 207.23/207.88 [6416]~P58(x64161)+E(f46(x64161,f327(f327(f80(x64161),x64162),f327(f327(f81(x64161),x64163),x64164)),x64164),f46(x64161,x64162,x64164))
% 207.23/207.88 [6417]~P58(x64171)+E(f46(x64171,f327(f327(f80(x64171),x64172),f327(f327(f81(x64171),x64173),x64174)),x64173),f46(x64171,x64172,x64173))
% 207.23/207.88 [6555]E(f327(f327(f165(x65551),f327(f327(f176(x65551),x65552),x65553)),x65554),f327(f327(f165(x65551),x65553),x65554))+~P1(f327(f327(f235(a915),x65554),x65552))
% 207.23/207.88 [6730]~E(x67302,x67304)+P1(f327(f327(f173(x67301),f327(f327(f152(x67301),x67302),x67303)),x67304))
% 207.23/207.88 [6732]~P112(x67321)+E(f327(f327(f80(x67321),f327(f327(f80(x67321),x67322),x67323)),x67324),f327(f327(f80(x67321),f327(f327(f80(x67321),x67322),x67324)),x67323))
% 207.23/207.88 [6733]~P112(x67331)+E(f327(f327(f81(x67331),f327(f327(f81(x67331),x67332),x67333)),x67334),f327(f327(f81(x67331),f327(f327(f81(x67331),x67332),x67334)),x67333))
% 207.23/207.88 [6792]~P146(x67922)+E(f327(f327(f6(x67921,x67922),f327(f16(x67922,x67921),x67923)),x67924),f327(f327(f81(x67922),f327(f101(x67922),f327(f36(x67921),x67924))),x67923))
% 207.23/207.88 [6963]E(f327(f327(f103(f922(x69631,a910)),f327(f327(f309(x69631),x69632),x69633)),x69634),f327(f327(f103(f922(x69631,a910)),x69633),x69634))+P1(f327(f327(f329(x69631),x69632),x69634))
% 207.23/207.88 [7032]~P78(x70321)+E(f327(f327(f238(x70321),f327(f327(f23(x70321),x70322),x70323)),f327(f327(f23(x70321),x70324),x70323)),f327(f327(f23(x70321),f327(f327(f238(x70321),x70322),x70324)),x70323))
% 207.23/207.88 [7033]~P78(x70331)+E(f327(f327(f189(x70331),f327(f327(f23(x70331),x70332),x70333)),f327(f327(f23(x70331),x70334),x70333)),f327(f327(f23(x70331),f327(f327(f189(x70331),x70332),x70334)),x70333))
% 207.23/207.88 [7034]~P82(x70341)+E(f327(f327(f238(x70341),f327(f327(f80(x70341),x70342),x70343)),f327(f327(f80(x70341),x70344),x70343)),f327(f327(f80(x70341),f327(f327(f238(x70341),x70342),x70344)),x70343))
% 207.23/207.88 [7035]~P82(x70351)+E(f327(f327(f189(x70351),f327(f327(f80(x70351),x70352),x70353)),f327(f327(f80(x70351),x70354),x70353)),f327(f327(f80(x70351),f327(f327(f189(x70351),x70352),x70354)),x70353))
% 207.23/207.88 [7037]~P113(x70371)+E(f327(f327(f80(x70371),f327(f327(f81(x70371),x70372),x70373)),f327(f327(f81(x70371),x70374),x70373)),f327(f327(f81(x70371),f327(f327(f80(x70371),x70372),x70374)),x70373))
% 207.23/207.88 [7038]~P108(x70381)+E(f327(f327(f189(x70381),f327(f327(f238(x70381),x70382),x70383)),f327(f327(f238(x70381),x70384),x70383)),f327(f327(f238(x70381),f327(f327(f189(x70381),x70382),x70384)),x70383))
% 207.23/207.88 [7039]~P108(x70391)+E(f327(f327(f238(x70391),f327(f327(f189(x70391),x70392),x70393)),f327(f327(f189(x70391),x70394),x70393)),f327(f327(f189(x70391),f327(f327(f238(x70391),x70392),x70394)),x70393))
% 207.23/207.88 [7040]~P100(x70401)+E(f327(f327(f103(x70401),f327(f327(f102(x70401),x70402),x70403)),f327(f327(f102(x70401),x70404),x70403)),f327(f327(f102(x70401),f327(f327(f103(x70401),x70402),x70404)),x70403))
% 207.23/207.88 [7041]~P112(x70411)+E(f327(f327(f81(x70411),f327(f327(f244(x70411),x70412),x70413)),f327(f327(f244(x70411),x70414),x70413)),f327(f327(f244(x70411),f327(f327(f81(x70411),x70412),x70414)),x70413))
% 207.23/207.88 [7042]~P75(x70421)+E(f327(f327(f81(x70421),f327(f327(f244(x70421),x70422),x70423)),f327(f327(f244(x70421),x70424),x70423)),f327(f327(f244(x70421),f327(f327(f81(x70421),x70422),x70424)),x70423))
% 207.23/207.88 [7043]~P61(x70431)+E(f327(f327(f291(x70431),f327(f327(f244(x70431),x70432),x70433)),f327(f327(f244(x70431),x70434),x70433)),f327(f327(f244(x70431),f327(f327(f291(x70431),x70432),x70434)),x70433))
% 207.23/207.88 [7044]~P100(x70441)+E(f327(f327(f102(x70441),f327(f327(f103(x70441),x70442),x70443)),f327(f327(f103(x70441),x70444),x70443)),f327(f327(f103(x70441),f327(f327(f102(x70441),x70442),x70444)),x70443))
% 207.23/207.88 [7045]~P122(x70451)+E(f327(f327(f23(x70451),f327(f327(f291(x70451),x70452),x70453)),f327(f327(f291(x70451),x70454),x70453)),f327(f327(f291(x70451),f327(f327(f23(x70451),x70452),x70454)),x70453))
% 207.23/207.88 [7046]~P122(x70461)+E(f327(f327(f80(x70461),f327(f327(f291(x70461),x70462),x70463)),f327(f327(f291(x70461),x70464),x70463)),f327(f327(f291(x70461),f327(f327(f80(x70461),x70462),x70464)),x70463))
% 207.23/207.88 [7047]~P112(x70471)+E(f327(f327(f80(x70471),f327(f327(f81(x70471),x70472),x70473)),f327(f327(f81(x70471),x70474),x70473)),f327(f327(f81(x70471),f327(f327(f80(x70471),x70472),x70474)),x70473))
% 207.23/207.88 [7079]E(f327(f327(f160(x70791,x70792),x70793),x70794),x70792)+~P1(f327(f327(f234(a915),f327(f191(f916(x70791)),x70792)),x70793))
% 207.23/207.88 [7106]~P1(f327(x71063,x71064))+P1(f327(f327(f327(f102(f922(x71061,a910)),x71062),x71063),x71064))
% 207.23/207.88 [7108]~P1(f327(x71082,x71084))+P1(f327(f327(f327(f102(f922(x71081,a910)),x71082),x71083),x71084))
% 207.23/207.88 [7126]E(f327(f327(f165(x71261),f327(f327(f135(x71261),x71262),x71263)),x71264),f327(f327(f165(x71261),x71262),x71264))+~P1(f327(f327(f235(a915),x71264),f327(f191(f916(x71261)),x71262)))
% 207.23/207.88 [7137]E(f327(f327(f23(f922(x71371,a910)),f327(f327(f309(x71371),x71372),x71373)),x71374),f327(f327(f23(f922(x71371,a910)),x71373),x71374))+~P1(f327(f327(f329(x71371),x71372),x71374))
% 207.23/207.88 [7179]~E(f140(a915,f327(f302(a915,x71791),x71792)),f327(f327(f152(a915),x71794),x71793))+E(f140(a915,f327(f302(a915,f327(f327(f80(a915),x71791),f78(a915))),x71792)),x71793)
% 207.23/207.88 [7201]~P1(f327(f327(f173(x72011),x72013),x72014))+P1(f327(f327(f173(x72011),f327(f327(f152(x72011),x72012),x72013)),x72014))
% 207.23/207.88 [7252]E(x72521,f2(a915))+E(f327(f327(f152(x72522),x72523),f327(f327(f176(x72522),f327(f327(f23(a915),x72521),f78(a915))),x72524)),f327(f327(f176(x72522),x72521),f327(f327(f152(x72522),x72523),x72524)))
% 207.23/207.88 [7354]E(f327(f327(f165(x73541),x73542),f327(f327(f23(a915),x73543),f327(f191(f916(x73541)),x73544))),f327(f327(f165(x73541),f327(f327(f135(x73541),x73544),x73542)),x73543))+P1(f327(f327(f235(a915),x73543),f327(f191(f916(x73541)),x73544)))
% 207.23/207.88 [7384]E(f327(f327(f103(f922(x73841,a910)),x73842),f327(f327(f309(x73841),x73843),x73844)),f327(f327(f309(x73841),x73843),f327(f327(f103(f922(x73841,a910)),x73842),x73844)))+~P1(f327(f327(f329(x73841),x73843),x73842))
% 207.23/207.88 [7422]E(f327(f327(f165(x74221),f327(f327(f160(x74221,x74222),x74223),x74224)),x74223),x74224)+~P1(f327(f327(f235(a915),x74223),f327(f191(f916(x74221)),x74222)))
% 207.23/207.88 [7444]E(x74441,f190(f922(x74442,a910)))+E(f327(f310(f921(x74443,x74442),x74443,f251(x74443,x74442)),f327(f327(f254(x74443,x74442),x74444),f327(f16(f922(x74442,a910),x74443),x74441))),x74444)
% 207.23/207.88 [7445]E(x74451,f190(f922(x74452,a910)))+E(f327(f310(f921(x74452,x74453),x74453,f256(x74452,x74453)),f327(f327(f254(x74452,x74453),x74451),f327(f16(f922(x74453,a910),x74452),x74454))),x74454)
% 207.23/207.88 [7519]E(f327(f327(f23(f922(x75191,a910)),f327(f327(f309(x75191),x75192),x75193)),x75194),f327(f327(f309(x75191),x75192),f327(f327(f23(f922(x75191,a910)),x75193),x75194)))+P1(f327(f327(f329(x75191),x75192),x75194))
% 207.23/207.88 [7554]~E(x75544,f190(f922(x75542,a910)))+E(f327(f310(f921(x75541,x75542),x75541,f251(x75541,x75542)),f327(f327(f254(x75541,x75542),x75543),f327(f16(f922(x75542,a910),x75541),x75544))),f190(f922(x75541,a910)))
% 207.23/207.88 [7555]~E(x75553,f190(f922(x75551,a910)))+E(f327(f310(f921(x75551,x75552),x75552,f256(x75551,x75552)),f327(f327(f254(x75551,x75552),x75553),f327(f16(f922(x75552,a910),x75551),x75554))),f190(f922(x75552,a910)))
% 207.23/207.88 [7606]~P1(f327(f327(f329(x76061),x76062),x76064))+P1(f327(f327(f329(x76061),x76062),f327(f327(f102(f922(x76061,a910)),x76063),x76064)))
% 207.23/207.88 [7609]~P1(f327(f327(f329(x76091),x76092),x76093))+P1(f327(f327(f329(x76091),x76092),f327(f327(f102(f922(x76091,a910)),x76093),x76094)))
% 207.23/207.88 [7627]E(f327(f327(f103(f922(x76271,a910)),f327(f327(f309(x76271),x76272),x76273)),x76274),f327(f327(f309(x76271),x76272),f327(f327(f103(f922(x76271,a910)),x76273),x76274)))+~P1(f327(f327(f329(x76271),x76272),x76274))
% 207.23/207.88 [7901]P1(f327(x79011,x79012))+~P1(f327(f327(f327(f103(f922(x79013,a910)),x79014),x79011),x79012))
% 207.23/207.88 [7902]P1(f327(x79021,x79022))+~P1(f327(f327(f327(f103(f922(x79023,a910)),x79021),x79024),x79022))
% 207.23/207.88 [7903]E(f327(f327(f6(x79031,a915),x79032),f327(f327(f23(f922(x79031,a910)),x79033),f327(f327(f309(x79031),x79034),f190(f922(x79031,a910))))),f327(f327(f6(x79031,a915),x79032),x79033))+P1(f327(f327(f329(x79031),x79034),x79033))
% 207.23/207.88 [7908]~P68(x79081)+E(f327(f166(x79081),f327(f327(f155(a915,x79081),x79082),f140(a915,f327(f302(a915,x79083),x79084)))),f327(f327(f6(a915,x79081),x79082),f327(f173(a915),f140(a915,f327(f302(a915,x79083),x79084)))))
% 207.23/207.88 [7909]~P68(x79091)+E(f327(f327(f6(a915,x79091),x79092),f327(f173(a915),f140(a915,f327(f302(a915,x79093),x79094)))),f327(f166(x79091),f327(f327(f155(a915,x79091),x79092),f140(a915,f327(f302(a915,x79093),x79094)))))
% 207.23/207.88 [8021]~E(x80213,x80214)+P1(f327(f62(x80211,x80212,f327(f327(f309(x80211),x80213),f190(f922(x80211,a910)))),x80214))
% 207.23/207.88 [8118]P1(f327(f327(f329(x81181),x81182),f327(f173(x81181),x81183)))+~P1(f327(f327(f329(x81181),x81182),f327(f173(x81181),f327(f327(f176(x81181),x81184),x81183))))
% 207.23/207.88 [8119]P1(f327(f327(f329(x81191),x81192),f327(f173(x81191),x81193)))+~P1(f327(f327(f329(x81191),x81192),f327(f173(x81191),f327(f327(f139(x81191),x81194),x81193))))
% 207.23/207.88 [8189]P1(f327(f327(f329(x81891),x81892),x81893))+~P1(f327(f327(f329(x81891),x81892),f327(f327(f23(f922(x81891,a910)),x81893),x81894)))
% 207.23/207.88 [8191]P1(f327(f327(f329(x81911),x81912),x81913))+~P1(f327(f327(f329(x81911),x81912),f327(f327(f103(f922(x81911,a910)),x81914),x81913)))
% 207.23/207.88 [8194]P1(f327(f327(f329(x81941),x81942),x81943))+~P1(f327(f327(f329(x81941),x81942),f327(f327(f103(f922(x81941,a910)),x81943),x81944)))
% 207.23/207.88 [8209]E(f327(f327(f135(x82091),f327(f327(f176(x82091),x82092),x82093)),f327(f327(f152(x82091),x82094),f327(f327(f139(x82091),f327(a113,x82092)),x82093))),f327(f327(f160(x82091,x82093),x82092),x82094))+~P1(f327(f327(f235(a915),x82092),f327(f191(f916(x82091)),x82093)))
% 207.23/207.88 [8232]P1(f327(f327(f329(x82321),x82322),x82323))+~P1(f327(f327(f234(f922(x82321,a910)),f327(f327(f309(x82321),x82322),x82324)),x82323))
% 207.23/207.88 [8269]~P1(f327(f327(f329(x82691),x82692),x82693))+~P1(f327(f327(f329(x82691),x82692),f327(f327(f23(f922(x82691,a910)),x82694),x82693)))
% 207.23/207.88 [8302]~P1(f327(f327(f235(a915),x83024),f327(f191(f916(x83021)),x83023)))+P1(f327(f327(f329(x83021),x83022),f327(f173(x83021),f327(f327(f160(x83021,x83023),x83024),x83022))))
% 207.23/207.88 [8355]E(f327(f327(f165(x83551),f327(f327(f139(x83551),x83552),x83553)),x83554),f327(f327(f165(x83551),x83553),f327(f327(f80(a915),x83552),x83554)))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),x83552),x83554)),f327(f191(f916(x83551)),x83553)))
% 207.23/207.88 [8364]~P146(x83642)+E(f327(f327(f6(x83641,x83642),f327(f327(f8(a915,x83642,x83641),f101(x83642)),x83643)),x83644),f327(f101(x83642),f327(f327(f6(x83641,a915),x83643),x83644)))
% 207.23/207.88 [8365]~P142(x83652)+E(f327(f327(f6(x83651,x83652),f327(f327(f8(a1,x83652,x83651),f104(x83652)),x83653)),x83654),f327(f104(x83652),f327(f327(f6(x83651,a1),x83653),x83654)))
% 207.23/207.88 [8415]~P64(x84152)+E(f327(f327(f9(x84151,x84152),f327(f327(f8(x84152,x84152,x84151),f75(x84152)),x84153)),x84154),f327(f75(x84152),f327(f327(f9(x84151,x84152),x84153),x84154)))
% 207.23/207.88 [8416]~P67(x84162)+E(f327(f327(f6(x84161,x84162),f327(f327(f8(x84162,x84162,x84161),f79(x84162)),x84163)),x84164),f327(f79(x84162),f327(f327(f6(x84161,x84162),x84163),x84164)))
% 207.23/207.88 [8418]E(f327(f327(f6(x84181,a915),x84182),f327(f327(f23(f922(x84181,a910)),x84183),f327(f327(f309(x84181),x84184),f190(f922(x84181,a910))))),f327(f327(f23(a915),f327(f327(f6(x84181,a915),x84182),x84183)),f327(x84182,x84184)))+~P1(f327(f327(f329(x84181),x84184),x84183))
% 207.23/207.88 [8437]P1(f327(f327(f234(f922(x84371,a910)),x84372),x84373))+~P1(f327(f327(f234(f922(x84371,a910)),f327(f327(f309(x84371),x84374),x84372)),x84373))
% 207.23/207.88 [8560]~E(f327(f310(x85602,x85603,x85601),f242(f922(x85602,a910))),f242(f922(x85603,a910)))+E(f327(x85601,f327(f92(x85602,x85603,f242(f922(x85602,a910)),x85601),x85604)),x85604)
% 207.23/207.88 [8643]P35(x86431,x86432)+~P35(x86431,f327(f327(f309(f921(x86431,x86431)),f327(f327(f252(x86431,x86431),x86433),x86434)),x86432))
% 207.23/207.88 [8644]P55(x86441,x86442)+~P55(x86441,f327(f327(f309(f921(x86441,x86441)),f327(f327(f252(x86441,x86441),x86443),x86444)),x86442))
% 207.23/207.88 [8649]~P108(x86491)+E(f327(f327(f149(x86491,x86491,f5(x86491)),x86492),f327(f327(f149(x86491,x86491,f5(x86491)),x86493),x86494)),f327(f327(f149(x86491,x86491,f5(x86491)),x86493),f327(f327(f149(x86491,x86491,f5(x86491)),x86492),x86494)))
% 207.23/207.88 [8664]E(x86641,x86642)+~P1(f327(f62(x86643,x86644,f327(f327(f309(x86643),x86641),f190(f922(x86643,a910)))),x86642))
% 207.23/207.88 [8673]E(f327(f327(f135(x86731),f327(f327(f176(x86731),x86732),x86733)),f327(f327(f176(x86731),x86734),f327(f327(f139(x86731),x86732),x86733))),f327(f327(f176(x86731),f327(f327(f80(a915),x86732),x86734)),x86733))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),x86732),x86734)),f327(f191(f916(x86731)),x86733)))
% 207.23/207.88 [8713]P1(f327(f35(x87131),x87132))+~E(x87132,f327(f310(a915,x87131,x87133),f327(f262(a915),f327(f327(f7(a915,a915,a910),f235(a915)),x87134))))
% 207.23/207.88 [8733]~P90(x87331)+E(f327(f143(x87331,x87331,f80(x87331),f327(f327(f80(x87331),x87332),x87333)),x87334),f327(f327(f80(x87331),x87332),f327(f143(x87331,x87331,f80(x87331),x87333),x87334)))
% 207.23/207.88 [8769]P1(f327(f327(f234(f922(x87691,a910)),f327(f264(x87691,x87692),x87693)),f327(f264(x87691,x87692),x87694)))+~P1(f327(f327(f234(f922(f921(x87691,x87692),a910)),x87693),x87694))
% 207.23/207.88 [8781]~P1(f327(f327(f234(a915),x87812),x87814))+P1(f327(f327(f234(f922(x87811,a910)),f327(f173(x87811),f327(f327(f176(x87811),x87812),x87813))),f327(f173(x87811),f327(f327(f176(x87811),x87814),x87813))))
% 207.23/207.88 [8782]~P1(f327(f327(f234(a915),x87824),x87822))+P1(f327(f327(f234(f922(x87821,a910)),f327(f173(x87821),f327(f327(f139(x87821),x87822),x87823))),f327(f173(x87821),f327(f327(f139(x87821),x87824),x87823))))
% 207.23/207.88 [8839]~P1(f327(f35(x88391),f327(f327(f23(f922(x88391,a910)),x88392),x88394)))+P1(f327(f35(x88391),f327(f327(f23(f922(x88391,a910)),x88392),f327(f327(f309(x88391),x88393),x88394))))
% 207.23/207.88 [8881]P1(f327(f327(f329(f921(x88811,x88811)),x88812),f307(x88811,x88813)))+~P1(f327(f327(f329(f921(x88811,x88811)),x88812),f327(f327(f184(f921(x88811,x88811),a910),x88814),x88813)))
% 207.23/207.88 [8967]~P1(f327(f35(x89671),f327(f327(f23(f922(x89671,a910)),x89672),f327(f327(f309(x89671),x89674),x89673))))+P1(f327(f35(x89671),f327(f327(f23(f922(x89671,a910)),x89672),x89673)))
% 207.23/207.88 [9182]~P108(x91821)+P1(f327(f327(f234(x91821),f327(f327(f189(x91821),x91822),f327(f327(f238(x91821),x91823),x91824))),f327(f327(f238(x91821),f327(f327(f189(x91821),x91822),x91823)),f327(f327(f189(x91821),x91822),x91824))))
% 207.23/207.88 [9183]~P96(x91831)+P1(f327(f327(f234(x91831),f327(f327(f102(x91831),x91832),f327(f327(f103(x91831),x91833),x91834))),f327(f327(f103(x91831),f327(f327(f102(x91831),x91832),x91833)),f327(f327(f102(x91831),x91832),x91834))))
% 207.23/207.88 [9330]E(x93301,x93302)+~P1(f327(f327(f329(f921(x93303,x93303)),f327(f327(f252(x93303,x93303),x93301),x93302)),f327(f173(f921(x93303,x93303)),f327(f327(f182(x93303,x93303),x93304),x93304))))
% 207.23/207.88 [9360]~P1(f327(f327(f329(f921(x93601,x93601)),f327(f327(f252(x93601,x93601),x93603),x93602)),f307(x93601,x93604)))+~P35(x93601,f327(f327(f309(f921(x93601,x93601)),f327(f327(f252(x93601,x93601),x93602),x93603)),x93604))
% 207.23/207.88 [9361]~P1(f327(f327(f329(f921(x93611,x93611)),f327(f327(f252(x93611,x93611),x93613),x93612)),f307(x93611,x93614)))+~P55(x93611,f327(f327(f309(f921(x93611,x93611)),f327(f327(f252(x93611,x93611),x93612),x93613)),x93614))
% 207.23/207.88 [9365]E(x93651,x93652)+E(f327(f137(x93653,f327(f327(f8(a910,a910,x93653),a322),f327(a324,x93651))),f327(f327(f152(x93653),x93652),x93654)),f327(f327(f152(x93653),x93652),f327(f137(x93653,f327(f327(f8(a910,a910,x93653),a322),f327(a324,x93651))),x93654)))
% 207.23/207.88 [9395]~P24(x93952,x93951,x93953,f242(f922(x93952,a910)),f242(f922(x93951,a910)))+E(f327(f310(x93951,x93952,f92(x93952,x93951,f242(f922(x93952,a910)),x93953)),x93954),f327(f311(x93952,x93951,x93953),x93954))
% 207.23/207.88 [9410]~P108(x94101)+P1(f327(f327(f234(x94101),f327(f327(f189(x94101),f327(f327(f238(x94101),x94102),x94103)),f327(f327(f238(x94101),x94102),x94104))),f327(f327(f238(x94101),x94102),f327(f327(f189(x94101),x94103),x94104))))
% 207.23/207.88 [9411]~P96(x94111)+P1(f327(f327(f234(x94111),f327(f327(f102(x94111),f327(f327(f103(x94111),x94112),x94113)),f327(f327(f103(x94111),x94112),x94114))),f327(f327(f103(x94111),x94112),f327(f327(f102(x94111),x94113),x94114))))
% 207.23/207.88 [9472]~P24(x94722,x94721,x94724,f242(f922(x94722,a910)),f242(f922(x94721,a910)))+E(f327(f262(x94721),f327(f327(f8(x94722,a910,x94721),x94723),f92(x94722,x94721,f242(f922(x94722,a910)),x94724))),f327(f310(x94722,x94721,x94724),f327(f262(x94722),x94723)))
% 207.23/207.88 [9486]~E(f327(f310(x94862,x94861,x94863),f242(f922(x94862,a910))),f242(f922(x94861,a910)))+P1(f327(f327(f234(f922(x94861,a910)),f327(f79(f922(x94861,a910)),f327(f310(x94862,x94861,x94863),x94864))),f327(f310(x94862,x94861,x94863),f327(f79(f922(x94862,a910)),x94864))))
% 207.23/207.88 [9813]P1(f327(f327(f329(f921(x98131,x98131)),f327(f327(f252(x98131,x98131),x98132),x98133)),f327(f286(x98131,x98131),f327(f327(f289(x98131,x98131,x98131),x98134),f307(x98131,x98134)))))+~P1(f327(f327(f329(f921(x98131,x98131)),f327(f327(f252(x98131,x98131),x98132),x98133)),f327(f327(f289(x98131,x98131,x98131),f327(f286(x98131,x98131),x98134)),f307(x98131,f327(f286(x98131,x98131),x98134)))))
% 207.23/207.88 [9814]~P1(f327(f327(f329(f921(x98141,x98141)),f327(f327(f252(x98141,x98141),x98142),x98143)),f327(f286(x98141,x98141),f327(f327(f289(x98141,x98141,x98141),x98144),f307(x98141,x98144)))))+P1(f327(f327(f329(f921(x98141,x98141)),f327(f327(f252(x98141,x98141),x98142),x98143)),f327(f327(f289(x98141,x98141,x98141),f327(f286(x98141,x98141),x98144)),f307(x98141,f327(f286(x98141,x98141),x98144)))))
% 207.23/207.88 [9835]~P1(f327(f327(f329(x98352),x98354),f327(f284(x98351,x98352),x98353)))+P1(f327(f327(f329(f921(x98351,x98352)),f327(f327(f252(x98351,x98352),f549(x98353,x98351,x98354,x98352)),x98354)),x98353))
% 207.23/207.88 [9836]~P1(f327(f327(f329(x98362),x98364),f327(f284(x98361,x98362),x98363)))+P1(f327(f327(f329(f921(x98361,x98362)),f327(f327(f252(x98361,x98362),f551(x98363,x98361,x98364,x98362)),x98364)),x98363))
% 207.23/207.88 [9861]~P1(f327(f327(f329(x98611),x98614),f327(f327(f102(f922(x98611,a910)),x98612),x98613)))+P1(f327(f327(f327(f102(f922(x98611,a910)),f327(f327(f7(x98611,f922(x98611,a910),a910),f329(x98611)),x98612)),f327(f327(f7(x98611,f922(x98611,a910),a910),f329(x98611)),x98613)),x98614))
% 207.23/207.88 [9862]~P1(f327(f327(f329(x98621),x98624),f327(f327(f103(f922(x98621,a910)),x98622),x98623)))+P1(f327(f327(f327(f103(f922(x98621,a910)),f327(f327(f7(x98621,f922(x98621,a910),a910),f329(x98621)),x98622)),f327(f327(f7(x98621,f922(x98621,a910),a910),f329(x98621)),x98623)),x98624))
% 207.23/207.88 [9943]~P1(f327(f327(f329(f921(x99431,x99431)),f327(f327(f252(x99431,x99431),x99434),x99433)),f327(f327(f289(x99431,x99431,x99431),x99432),f307(x99431,x99432))))+P1(f327(f327(f329(f921(x99431,x99431)),f327(f327(f252(x99431,x99431),f618(x99432,x99433,x99434,x99431)),x99433)),x99432))
% 207.23/207.88 [9978]P1(f327(f327(f329(x99781),x99782),f327(f327(f102(f922(x99781,a910)),x99783),x99784)))+~P1(f327(f327(f327(f102(f922(x99781,a910)),f327(f327(f7(x99781,f922(x99781,a910),a910),f329(x99781)),x99783)),f327(f327(f7(x99781,f922(x99781,a910),a910),f329(x99781)),x99784)),x99782))
% 207.23/207.88 [9979]P1(f327(f327(f329(x99791),x99792),f327(f327(f103(f922(x99791,a910)),x99793),x99794)))+~P1(f327(f327(f327(f103(f922(x99791,a910)),f327(f327(f7(x99791,f922(x99791,a910),a910),f329(x99791)),x99793)),f327(f327(f7(x99791,f922(x99791,a910),a910),f329(x99791)),x99794)),x99792))
% 207.23/207.88 [10265]P30(x102651,f327(f327(f7(x102651,f922(f921(x102651,x102651),a910),f922(x102651,a910)),f327(f327(f8(f922(x102651,f922(f922(f921(x102651,x102651),a910),a910)),f922(f922(f921(x102651,x102651),a910),f922(x102651,a910)),x102651),f7(x102651,f922(f921(x102651,x102651),a910),a910)),f327(f327(f8(f922(x102651,f921(x102651,x102651)),f922(x102651,f922(f922(f921(x102651,x102651),a910),a910)),x102651),f327(f8(f921(x102651,x102651),f922(f922(f921(x102651,x102651),a910),a910),x102651),f329(f921(x102651,x102651)))),f252(x102651,x102651)))),x102652),x102653,x102654)+~P1(f327(f327(f329(f921(f916(x102651),f916(x102651))),f327(f327(f252(f916(x102651),f916(x102651)),x102653),x102654)),f159(x102651,x102652)))
% 207.23/207.88 [10269]P56(x102691,f327(f327(f7(x102691,f922(f921(x102691,x102691),a910),f922(x102691,a910)),f327(f327(f8(f922(x102691,f922(f922(f921(x102691,x102691),a910),a910)),f922(f922(f921(x102691,x102691),a910),f922(x102691,a910)),x102691),f7(x102691,f922(f921(x102691,x102691),a910),a910)),f327(f327(f8(f922(x102691,f921(x102691,x102691)),f922(x102691,f922(f922(f921(x102691,x102691),a910),a910)),x102691),f327(f8(f921(x102691,x102691),f922(f922(f921(x102691,x102691),a910),a910),x102691),f329(f921(x102691,x102691)))),f252(x102691,x102691)))),x102692),x102693,x102694)+~P1(f327(f327(f329(f921(f922(x102691,a910),f922(x102691,a910))),f327(f327(f252(f922(x102691,a910),f922(x102691,a910)),x102693),x102694)),f319(x102691,x102692)))
% 207.23/207.88 [10305]E(x103051,x103052)+~E(f327(f327(f7(x103053,f922(f921(x103053,x103054),a910),f922(x103054,a910)),f327(f327(f8(f922(x103054,f922(f922(f921(x103053,x103054),a910),a910)),f922(f922(f921(x103053,x103054),a910),f922(x103054,a910)),x103053),f7(x103054,f922(f921(x103053,x103054),a910),a910)),f327(f327(f8(f922(x103054,f921(x103053,x103054)),f922(x103054,f922(f922(f921(x103053,x103054),a910),a910)),x103053),f327(f8(f921(x103053,x103054),f922(f922(f921(x103053,x103054),a910),a910),x103054),f329(f921(x103053,x103054)))),f252(x103053,x103054)))),x103051),f327(f327(f7(x103053,f922(f921(x103053,x103054),a910),f922(x103054,a910)),f327(f327(f8(f922(x103054,f922(f922(f921(x103053,x103054),a910),a910)),f922(f922(f921(x103053,x103054),a910),f922(x103054,a910)),x103053),f7(x103054,f922(f921(x103053,x103054),a910),a910)),f327(f327(f8(f922(x103054,f921(x103053,x103054)),f922(x103054,f922(f922(f921(x103053,x103054),a910),a910)),x103053),f327(f8(f921(x103053,x103054),f922(f922(f921(x103053,x103054),a910),a910),x103054),f329(f921(x103053,x103054)))),f252(x103053,x103054)))),x103052))
% 207.23/207.88 [10308]~P30(x103081,f327(f327(f7(x103081,f922(f921(x103081,x103081),a910),f922(x103081,a910)),f327(f327(f8(f922(x103081,f922(f922(f921(x103081,x103081),a910),a910)),f922(f922(f921(x103081,x103081),a910),f922(x103081,a910)),x103081),f7(x103081,f922(f921(x103081,x103081),a910),a910)),f327(f327(f8(f922(x103081,f921(x103081,x103081)),f922(x103081,f922(f922(f921(x103081,x103081),a910),a910)),x103081),f327(f8(f921(x103081,x103081),f922(f922(f921(x103081,x103081),a910),a910),x103081),f329(f921(x103081,x103081)))),f252(x103081,x103081)))),x103084),x103082,x103083)+P1(f327(f327(f329(f921(f916(x103081),f916(x103081))),f327(f327(f252(f916(x103081),f916(x103081)),x103082),x103083)),f159(x103081,x103084)))
% 207.23/207.88 [10309]~P56(x103091,f327(f327(f7(x103091,f922(f921(x103091,x103091),a910),f922(x103091,a910)),f327(f327(f8(f922(x103091,f922(f922(f921(x103091,x103091),a910),a910)),f922(f922(f921(x103091,x103091),a910),f922(x103091,a910)),x103091),f7(x103091,f922(f921(x103091,x103091),a910),a910)),f327(f327(f8(f922(x103091,f921(x103091,x103091)),f922(x103091,f922(f922(f921(x103091,x103091),a910),a910)),x103091),f327(f8(f921(x103091,x103091),f922(f922(f921(x103091,x103091),a910),a910),x103091),f329(f921(x103091,x103091)))),f252(x103091,x103091)))),x103094),x103092,x103093)+P1(f327(f327(f329(f921(f922(x103091,a910),f922(x103091,a910))),f327(f327(f252(f922(x103091,a910),f922(x103091,a910)),x103092),x103093)),f319(x103091,x103094)))
% 207.23/207.88 [7676]~P93(x76761)+E(f327(f327(f80(x76761),f327(f105(x76761),x76762)),f327(f327(f23(x76761),f327(f105(x76761),x76763)),x76764)),f327(f327(f23(x76761),f327(f105(x76761),f327(f327(f80(a1),x76762),x76763))),x76764))
% 207.23/207.88 [7677]~P93(x76771)+E(f327(f327(f80(x76771),f327(f105(x76771),x76772)),f327(f327(f80(x76771),f327(f105(x76771),x76773)),x76774)),f327(f327(f80(x76771),f327(f105(x76771),f327(f327(f80(a1),x76772),x76773))),x76774))
% 207.23/207.88 [7678]~P93(x76781)+E(f327(f327(f81(x76781),f327(f105(x76781),x76782)),f327(f327(f81(x76781),f327(f105(x76781),x76783)),x76784)),f327(f327(f81(x76781),f327(f105(x76781),f327(f327(f81(a1),x76782),x76783))),x76784))
% 207.23/207.88 [7719]~P146(x77191)+E(f327(f166(x77191),f327(f327(f155(x77192,x77191),f327(f16(x77191,x77192),x77193)),x77194)),f327(f327(f81(x77191),f327(f101(x77191),f327(f191(f916(x77192)),x77194))),x77193))
% 207.23/207.88 [7957]E(f327(f268(x79571,f327(f327(f152(f921(a100,x79571)),x79572),x79573)),x79574),f327(f256(a100,x79571),x79572))+~P1(f327(f327(f235(a100),x79574),f327(f251(a100,x79571),x79572)))
% 207.23/207.88 [7997]~P93(x79971)+E(f327(f327(f80(x79971),f327(f105(x79971),x79972)),f327(f327(f23(x79971),x79973),f327(f105(x79971),x79974))),f327(f327(f80(x79971),f327(f105(x79971),f327(f327(f80(a1),x79972),f327(f79(a1),x79974)))),x79973))
% 207.23/207.88 [8131]E(f327(f268(x81311,x81312),f327(f327(f23(a100),x81313),f327(f251(a100,x81311),x81314))),f327(f268(x81311,f327(f327(f152(f921(a100,x81311)),x81314),x81312)),x81313))+P1(f327(f327(f235(a100),x81313),f327(f251(a100,x81311),x81314)))
% 207.23/207.88 [8566]~P1(f327(f327(f329(x85661),x85662),f327(f173(x85661),f115(x85661,x85664))))+P1(f327(f327(f329(x85661),x85662),f327(f173(x85661),f115(x85661,f327(f327(f135(x85661),x85663),x85664)))))
% 207.23/207.88 [8567]~P1(f327(f327(f329(x85671),x85672),f327(f173(x85671),f115(x85671,x85673))))+P1(f327(f327(f329(x85671),x85672),f327(f173(x85671),f115(x85671,f327(f327(f135(x85671),x85673),x85674)))))
% 207.23/207.89 [8586]E(f327(f327(f102(f922(x85861,a910)),f327(f327(f103(f922(x85861,a910)),x85862),x85863)),x85864),f327(f327(f103(f922(x85861,a910)),x85862),f327(f327(f102(f922(x85861,a910)),x85863),x85864)))+~P1(f327(f327(f234(f922(x85861,a910)),x85864),x85862))
% 207.23/207.89 [8895]~E(f327(f327(f102(f922(x88951,a910)),f327(f327(f103(f922(x88951,a910)),x88953),x88954)),x88952),f327(f327(f103(f922(x88951,a910)),x88953),f327(f327(f102(f922(x88951,a910)),x88954),x88952)))+P1(f327(f327(f234(f922(x88951,a910)),x88952),x88953))
% 207.23/207.89 [9187]~P1(f327(f327(f234(f922(x91871,a910)),x91872),f327(f327(f102(f922(x91871,a910)),x91873),x91874)))+P1(f327(f327(f234(f922(x91871,a910)),f327(f327(f23(f922(x91871,a910)),x91872),x91873)),x91874))
% 207.23/207.89 [9302]~E(f327(f310(x93021,x93022,x93023),f242(f922(x93021,a910))),f242(f922(x93022,a910)))+E(f327(f310(x93021,x93022,x93023),f327(f310(x93022,x93021,f92(x93021,x93022,f242(f922(x93021,a910)),x93023)),x93024)),x93024)
% 207.23/207.89 [9307]P1(f327(f327(f234(f922(x93071,a910)),x93072),f327(f327(f102(f922(x93071,a910)),x93073),x93074)))+~P1(f327(f327(f234(f922(x93071,a910)),f327(f327(f23(f922(x93071,a910)),x93072),x93073)),x93074))
% 207.23/207.89 [9391]~P84(x93911)+E(f327(f75(x93911),f327(f327(f6(x93912,x93911),f327(f327(f8(x93911,x93911,x93912),f75(x93911)),x93913)),x93914)),f327(f327(f6(x93912,x93911),f327(f327(f8(x93911,x93911,x93912),f75(x93911)),x93913)),x93914))
% 207.23/207.89 [9562]~P84(x95621)+P1(f327(f327(f234(x95621),f2(x95621)),f327(f327(f6(x95622,x95621),f327(f327(f8(x95621,x95621,x95622),f75(x95621)),x95623)),x95624)))
% 207.23/207.89 [9566]~P67(x95661)+E(f327(f166(x95661),f327(f327(f155(x95662,x95661),f327(f72(x95661,x95661,x95662,f79(x95661)),x95663)),x95664)),f327(f79(x95661),f327(f166(x95661),f327(f327(f155(x95662,x95661),x95663),x95664))))
% 207.23/207.89 [9709]~P84(x97091)+P1(f327(f327(f234(x97091),f327(f75(x97091),f327(f327(f6(x97092,x97091),x97093),x97094))),f327(f327(f6(x97092,x97091),f327(f327(f8(x97091,x97091,x97092),f75(x97091)),x97093)),x97094)))
% 207.23/207.89 [9738]~E(f327(f327(f80(a915),x97381),x97384),f327(f327(f80(a915),x97383),x97382))+P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),f327(f327(f252(a915,a915),x97381),x97382)),f327(f327(f252(a915,a915),x97383),x97384))),a110))
% 207.23/207.89 [9739]~P1(f327(f327(f235(a915),x97391),x97393))+P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),f327(f327(f252(a915,a915),x97391),x97392)),f327(f327(f252(a915,a915),x97393),x97394))),a32))
% 207.23/207.89 [9740]~P1(f327(f327(f235(a915),x97401),x97403))+P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),f327(f327(f252(a915,a915),x97401),x97402)),f327(f327(f252(a915,a915),x97403),x97404))),a70))
% 207.23/207.89 [9886]E(f327(f327(f80(a915),x98861),x98862),f327(f327(f80(a915),x98863),x98864))+~P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),f327(f327(f252(a915,a915),x98861),x98864)),f327(f327(f252(a915,a915),x98863),x98862))),a110))
% 207.23/207.89 [9918]E(f327(f327(f165(x99181),f327(f327(f139(x99181),f327(f191(f916(x99181)),f178(x99181,x99182,x99183))),x99183)),x99184),f327(f327(f165(x99181),x99183),f327(f327(f80(a915),x99184),f327(f191(f916(x99181)),f178(x99181,x99182,x99183)))))+~P1(f327(f327(f235(a915),x99184),f327(f191(f916(x99181)),f327(f327(f139(x99181),f327(f191(f916(x99181)),f178(x99181,x99182,x99183))),x99183))))
% 207.23/207.89 [9934]~P1(f327(f327(f329(x99342),x99344),f327(f327(f40(x99341,f922(x99342,a910)),f242(f922(x99341,a910))),x99343)))+P1(f327(f327(f327(f40(x99341,f922(x99342,a910)),f242(f922(x99341,a910))),f327(f327(f8(f922(x99342,a910),f922(x99342,a910),x99341),f327(f7(x99342,f922(x99342,a910),a910),f329(x99342))),x99343)),x99344))
% 207.23/207.89 [9935]~P1(f327(f327(f329(x99352),x99354),f327(f327(f41(x99351,f922(x99352,a910)),f242(f922(x99351,a910))),x99353)))+P1(f327(f327(f327(f41(x99351,f922(x99352,a910)),f242(f922(x99351,a910))),f327(f327(f8(f922(x99352,a910),f922(x99352,a910),x99351),f327(f7(x99352,f922(x99352,a910),a910),f329(x99352))),x99353)),x99354))
% 207.23/207.89 [10005]~P1(f327(f50(x100051,x100052),f327(f327(f252(a1,a1),x100054),x100053)))+P1(f327(f50(f327(f79(a1),x100051),x100052),f327(f327(f252(a1,a1),f327(f327(f327(f97(a1),f327(f327(a324,x100053),f2(a1))),f327(f79(a1),x100054)),f327(f327(f23(a1),f327(f79(a1),x100054)),f78(a1)))),f327(f327(f327(f97(a1),f327(f327(a324,x100053),f2(a1))),f2(a1)),f327(f327(f23(a1),x100052),x100053)))))
% 207.23/207.89 [10017]P1(f327(f327(f329(x100171),x100172),f327(f327(f40(x100173,f922(x100171,a910)),f242(f922(x100173,a910))),x100174)))+~P1(f327(f327(f327(f40(x100173,f922(x100171,a910)),f242(f922(x100173,a910))),f327(f327(f8(f922(x100171,a910),f922(x100171,a910),x100173),f327(f7(x100171,f922(x100171,a910),a910),f329(x100171))),x100174)),x100172))
% 207.23/207.89 [10018]P1(f327(f327(f329(x100181),x100182),f327(f327(f41(x100183,f922(x100181,a910)),f242(f922(x100183,a910))),x100184)))+~P1(f327(f327(f327(f41(x100183,f922(x100181,a910)),f242(f922(x100183,a910))),f327(f327(f8(f922(x100181,a910),f922(x100181,a910),x100183),f327(f7(x100181,f922(x100181,a910),a910),f329(x100181))),x100184)),x100182))
% 207.23/207.89 [10030]E(f327(f327(f40(a915,f922(x100301,a910)),f242(f922(a915,a910))),x100302),f327(f327(f40(a915,f922(x100301,a910)),f242(f922(a915,a910))),x100303))+~E(f327(f327(f40(a915,f922(x100301,a910)),f327(f302(a915,f2(a915)),f396(x100302,x100304,x100303,x100301))),x100303),f327(f327(f40(a915,f922(x100301,a910)),f327(f302(a915,f2(a915)),f327(f327(f80(a915),f396(x100302,x100304,x100303,x100301)),x100304))),x100302))
% 207.23/207.89 [10382]~P1(f327(f327(f234(f922(f921(x103821,x103822),a910)),x103823),x103824))+P1(f327(f327(f234(f922(x103821,f922(x103822,a910))),f327(f327(f7(x103821,f922(f921(x103821,x103822),a910),f922(x103822,a910)),f327(f327(f8(f922(x103822,f922(f922(f921(x103821,x103822),a910),a910)),f922(f922(f921(x103821,x103822),a910),f922(x103822,a910)),x103821),f7(x103822,f922(f921(x103821,x103822),a910),a910)),f327(f327(f8(f922(x103822,f921(x103821,x103822)),f922(x103822,f922(f922(f921(x103821,x103822),a910),a910)),x103821),f327(f8(f921(x103821,x103822),f922(f922(f921(x103821,x103822),a910),a910),x103822),f329(f921(x103821,x103822)))),f252(x103821,x103822)))),x103823)),f327(f327(f7(x103821,f922(f921(x103821,x103822),a910),f922(x103822,a910)),f327(f327(f8(f922(x103822,f922(f922(f921(x103821,x103822),a910),a910)),f922(f922(f921(x103821,x103822),a910),f922(x103822,a910)),x103821),f7(x103822,f922(f921(x103821,x103822),a910),a910)),f327(f327(f8(f922(x103822,f921(x103821,x103822)),f922(x103822,f922(f922(f921(x103821,x103822),a910),a910)),x103821),f327(f8(f921(x103821,x103822),f922(f922(f921(x103821,x103822),a910),a910),x103822),f329(f921(x103821,x103822)))),f252(x103821,x103822)))),x103824)))
% 207.23/207.89 [10400]P1(f327(f327(f234(f922(f921(x104001,x104002),a910)),x104003),x104004))+~P1(f327(f327(f234(f922(x104001,f922(x104002,a910))),f327(f327(f7(x104001,f922(f921(x104001,x104002),a910),f922(x104002,a910)),f327(f327(f8(f922(x104002,f922(f922(f921(x104001,x104002),a910),a910)),f922(f922(f921(x104001,x104002),a910),f922(x104002,a910)),x104001),f7(x104002,f922(f921(x104001,x104002),a910),a910)),f327(f327(f8(f922(x104002,f921(x104001,x104002)),f922(x104002,f922(f922(f921(x104001,x104002),a910),a910)),x104001),f327(f8(f921(x104001,x104002),f922(f922(f921(x104001,x104002),a910),a910),x104002),f329(f921(x104001,x104002)))),f252(x104001,x104002)))),x104003)),f327(f327(f7(x104001,f922(f921(x104001,x104002),a910),f922(x104002,a910)),f327(f327(f8(f922(x104002,f922(f922(f921(x104001,x104002),a910),a910)),f922(f922(f921(x104001,x104002),a910),f922(x104002,a910)),x104001),f7(x104002,f922(f921(x104001,x104002),a910),a910)),f327(f327(f8(f922(x104002,f921(x104001,x104002)),f922(x104002,f922(f922(f921(x104001,x104002),a910),a910)),x104001),f327(f8(f921(x104001,x104002),f922(f922(f921(x104001,x104002),a910),a910),x104002),f329(f921(x104001,x104002)))),f252(x104001,x104002)))),x104004)))
% 207.23/207.89 [9437]~P1(f327(f327(f329(f921(x94371,x94371)),x94372),f307(x94371,x94374)))+P1(f327(f327(f329(f921(x94371,x94371)),x94372),f307(x94371,f327(f327(f102(f922(f921(x94371,x94371),a910)),x94373),x94374))))
% 207.23/207.89 [9438]~P1(f327(f327(f329(f921(x94381,x94381)),x94382),f307(x94381,x94383)))+P1(f327(f327(f329(f921(x94381,x94381)),x94382),f307(x94381,f327(f327(f102(f922(f921(x94381,x94381),a910)),x94383),x94384))))
% 207.23/207.89 [10117]~P1(f327(f327(f234(a915),f327(f327(f80(a915),x101171),x101174)),f327(f327(f80(a915),x101173),x101172)))+P1(f327(f327(f234(a1),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x101171),x101172)),f190(f922(f921(a915,a915),a910)))))),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x101173),x101174)),f190(f922(f921(a915,a915),a910)))))))
% 207.23/207.89 [10118]~P1(f327(f327(f235(a915),f327(f327(f80(a915),x101181),x101184)),f327(f327(f80(a915),x101183),x101182)))+P1(f327(f327(f235(a1),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x101181),x101182)),f190(f922(f921(a915,a915),a910)))))),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x101183),x101184)),f190(f922(f921(a915,a915),a910)))))))
% 207.23/207.89 [10206]P1(f327(f327(f234(a915),f327(f327(f80(a915),x102061),x102062)),f327(f327(f80(a915),x102063),x102064)))+~P1(f327(f327(f234(a1),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x102061),x102064)),f190(f922(f921(a915,a915),a910)))))),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x102063),x102062)),f190(f922(f921(a915,a915),a910)))))))
% 207.23/207.89 [10207]P1(f327(f327(f235(a915),f327(f327(f80(a915),x102071),x102072)),f327(f327(f80(a915),x102073),x102074)))+~P1(f327(f327(f235(a1),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x102071),x102074)),f190(f922(f921(a915,a915),a910)))))),f327(a89,f327(f285(f921(a915,a915),f921(a915,a915),a110),f327(f327(f309(f921(a915,a915)),f327(f327(f252(a915,a915),x102073),x102072)),f190(f922(f921(a915,a915),a910)))))))
% 207.23/207.89 [10251]P1(f327(f327(f234(f922(x102511,a910)),f327(f327(f40(a915,f922(x102511,a910)),f242(f922(a915,a910))),x102512)),f327(f327(f40(a915,f922(x102511,a910)),f242(f922(a915,a910))),x102513)))+~P1(f327(f327(f234(f922(x102511,a910)),f327(f327(f40(a915,f922(x102511,a910)),f327(f302(a915,f2(a915)),f398(x102513,x102514,x102512,x102511))),x102512)),f327(f327(f40(a915,f922(x102511,a910)),f327(f302(a915,f2(a915)),f327(f327(f80(a915),f398(x102513,x102514,x102512,x102511)),x102514))),x102513)))
% 207.23/207.89 [10312]P1(f327(f327(f234(a100),x103124),f2(a100)))+E(f327(f327(f259(f921(a100,a100),f921(x103121,f922(a914,a323)),f921(a100,a100),f921(f922(a100,f922(a910,f918(f917(x103121)))),f921(a100,a100))),f327(x103122,x103123)),f327(f327(f8(f922(f922(a100,f922(a910,f918(f917(x103121)))),f922(f921(a100,a100),f921(f922(a100,f922(a910,f918(f917(x103121)))),f921(a100,a100)))),f922(f921(a100,a100),f921(f922(a100,f922(a910,f918(f917(x103121)))),f921(a100,a100))),f921(x103121,f922(a914,a323))),f327(f259(f921(a100,a100),f922(a100,f922(a910,f918(f917(x103121)))),f921(a100,a100),f921(f922(a100,f922(a910,f918(f917(x103121)))),f921(a100,a100))),f277(x103121,x103122,f327(f327(f23(a100),x103124),f78(a100)),x103123))),f327(f327(f8(f922(f922(a100,f922(a910,f918(f917(x103121)))),f922(a100,f922(a910,f918(f917(x103121))))),f922(f922(a100,f922(a910,f918(f917(x103121)))),f922(f921(a100,a100),f921(f922(a100,f922(a910,f918(f917(x103121)))),f921(a100,a100)))),f921(x103121,f922(a914,a323))),f327(f8(f922(a100,f922(a910,f918(f917(x103121)))),f922(f921(a100,a100),f921(f922(a100,f922(a910,f918(f917(x103121)))),f921(a100,a100))),f922(a100,f922(a910,f918(f917(x103121))))),f252(f922(a100,f922(a910,f918(f917(x103121)))),f921(a100,a100)))),f327(f327(f8(f922(a100,f922(a910,f918(f917(x103121)))),f922(f922(a100,f922(a910,f918(f917(x103121)))),f922(a100,f922(a910,f918(f917(x103121))))),f921(x103121,f922(a914,a323))),f45(x103121)),f327(f327(f8(x103121,f922(a100,f922(a910,f918(f917(x103121)))),f921(x103121,f922(a914,a323))),f43(x103121)),f251(x103121,f922(a914,a323))))))),f277(x103121,x103122,x103124,x103123))
% 207.23/207.89 [10372]~P1(f327(f327(f329(x103722),x103724),f327(f284(x103721,x103722),x103723)))+P1(f327(f250(x103721,x103722,f327(f327(f7(x103721,f922(f921(x103721,x103722),a910),f922(x103722,a910)),f327(f327(f8(f922(x103722,f922(f922(f921(x103721,x103722),a910),a910)),f922(f922(f921(x103721,x103722),a910),f922(x103722,a910)),x103721),f7(x103722,f922(f921(x103721,x103722),a910),a910)),f327(f327(f8(f922(x103722,f921(x103721,x103722)),f922(x103722,f922(f922(f921(x103721,x103722),a910),a910)),x103721),f327(f8(f921(x103721,x103722),f922(f922(f921(x103721,x103722),a910),a910),x103722),f329(f921(x103721,x103722)))),f252(x103721,x103722)))),x103723)),x103724))
% 207.23/207.89 [10373]~P1(f327(f327(f329(x103731),x103734),f327(f264(x103731,x103732),x103733)))+P1(f327(f249(x103731,x103732,f327(f327(f7(x103731,f922(f921(x103731,x103732),a910),f922(x103732,a910)),f327(f327(f8(f922(x103732,f922(f922(f921(x103731,x103732),a910),a910)),f922(f922(f921(x103731,x103732),a910),f922(x103732,a910)),x103731),f7(x103732,f922(f921(x103731,x103732),a910),a910)),f327(f327(f8(f922(x103732,f921(x103731,x103732)),f922(x103732,f922(f922(f921(x103731,x103732),a910),a910)),x103731),f327(f8(f921(x103731,x103732),f922(f922(f921(x103731,x103732),a910),a910),x103732),f329(f921(x103731,x103732)))),f252(x103731,x103732)))),x103733)),x103734))
% 207.23/207.89 [10385]P1(f327(f327(f329(x103851),x103852),f327(f284(x103853,x103851),x103854)))+~P1(f327(f250(x103853,x103851,f327(f327(f7(x103853,f922(f921(x103853,x103851),a910),f922(x103851,a910)),f327(f327(f8(f922(x103851,f922(f922(f921(x103853,x103851),a910),a910)),f922(f922(f921(x103853,x103851),a910),f922(x103851,a910)),x103853),f7(x103851,f922(f921(x103853,x103851),a910),a910)),f327(f327(f8(f922(x103851,f921(x103853,x103851)),f922(x103851,f922(f922(f921(x103853,x103851),a910),a910)),x103853),f327(f8(f921(x103853,x103851),f922(f922(f921(x103853,x103851),a910),a910),x103851),f329(f921(x103853,x103851)))),f252(x103853,x103851)))),x103854)),x103852))
% 207.23/207.89 [10386]P1(f327(f327(f329(x103861),x103862),f327(f264(x103861,x103863),x103864)))+~P1(f327(f249(x103861,x103863,f327(f327(f7(x103861,f922(f921(x103861,x103863),a910),f922(x103863,a910)),f327(f327(f8(f922(x103863,f922(f922(f921(x103861,x103863),a910),a910)),f922(f922(f921(x103861,x103863),a910),f922(x103863,a910)),x103861),f7(x103863,f922(f921(x103861,x103863),a910),a910)),f327(f327(f8(f922(x103863,f921(x103861,x103863)),f922(x103863,f922(f922(f921(x103861,x103863),a910),a910)),x103861),f327(f8(f921(x103861,x103863),f922(f922(f921(x103861,x103863),a910),a910),x103863),f329(f921(x103861,x103863)))),f252(x103861,x103863)))),x103864)),x103862))
% 207.23/207.89 [10041]P1(f327(f161(x100411,x100412),x100413))+~P1(f327(f161(x100411,f327(f327(f18(x100411,a910,a910),f327(f327(f8(a910,f922(a910,a910),x100411),a325),x100414)),x100412)),x100413))
% 207.23/207.89 [10042]P1(f327(f161(x100421,x100422),x100423))+~P1(f327(f161(x100421,f327(f327(f18(x100421,a910,a910),f327(f327(f8(a910,f922(a910,a910),x100421),a325),x100422)),x100424)),x100423))
% 207.23/207.89 [10129]~P112(x101291)+E(f327(f327(f81(x101291),f327(f327(f80(x101291),f78(x101291)),f78(x101291))),f327(f327(f6(a915,x101291),f327(f327(f8(x101291,x101291,a915),f327(f80(x101291),x101292)),f327(f327(f7(a915,x101291,x101291),f327(f327(f8(x101291,f922(x101291,x101291),a915),f81(x101291)),f101(x101291))),x101293))),f327(f282(a915),x101294))),f327(f327(f81(x101291),f327(f101(x101291),x101294)),f327(f327(f80(x101291),x101292),f327(f327(f80(x101291),x101292),f327(f327(f81(x101291),f327(f101(x101291),f327(f327(f23(a915),x101294),f78(a915)))),x101293)))))
% 207.23/207.89 [10272]P1(f327(x102721,f548(x102722,x102723,x102724,x102721)))+P35(x102722,f327(f262(f921(x102722,x102722)),f327(f257(x102722,x102722,a910),f327(f327(f8(f922(x102722,a910),f922(x102722,a910),x102722),f327(f18(x102722,a910,a910),f327(f327(f8(a910,f922(a910,a910),x102722),a325),x102721))),f327(f327(f7(x102722,f922(x102722,x102722),f922(x102722,a910)),f327(f327(f8(f922(x102722,a910),f922(f922(x102722,x102722),f922(x102722,a910)),x102722),f8(x102722,a910,x102722)),a324)),x102723)))))
% 207.23/207.89 [10289]~P1(f327(f327(f235(a915),f327(x102894,f327(x102893,f548(x102891,x102893,x102894,x102892)))),f327(x102894,f548(x102891,x102893,x102894,x102892))))+P35(x102891,f327(f262(f921(x102891,x102891)),f327(f257(x102891,x102891,a910),f327(f327(f8(f922(x102891,a910),f922(x102891,a910),x102891),f327(f18(x102891,a910,a910),f327(f327(f8(a910,f922(a910,a910),x102891),a325),x102892))),f327(f327(f7(x102891,f922(x102891,x102891),f922(x102891,a910)),f327(f327(f8(f922(x102891,a910),f922(f922(x102891,x102891),f922(x102891,a910)),x102891),f8(x102891,a910,x102891)),a324)),x102893)))))
% 207.23/207.89 [10359]~P3(x103591)+E(f39(x103591,f327(f262(x103591),f327(f327(f8(f922(f922(x103592,x103591),a910),a910,x103591),f87(f922(x103592,x103591))),f327(f327(f8(f922(f922(x103592,x103591),a910),f922(f922(x103592,x103591),a910),x103591),f327(f18(f922(x103592,x103591),a910,a910),f327(f327(f8(a910,f922(a910,a910),f922(x103592,x103591)),a325),f327(f327(f7(f922(x103592,x103591),f922(f922(x103592,x103591),a910),a910),f329(f922(x103592,x103591))),x103593)))),f327(f327(f7(x103591,f922(f922(x103592,x103591),x103591),f922(f922(x103592,x103591),a910)),f327(f327(f8(f922(x103591,a910),f922(f922(f922(x103592,x103591),x103591),f922(f922(x103592,x103591),a910)),x103591),f8(x103591,a910,f922(x103592,x103591))),a324)),f327(f327(f7(f922(x103592,x103591),x103592,x103591),f5(f922(x103592,x103591))),x103594)))))),f327(f39(f922(x103592,x103591),x103593),x103594))
% 207.23/207.89 [10360]~P3(x103601)+E(f39(x103601,f327(f262(x103601),f327(f327(f8(f922(f922(x103602,x103601),a910),a910,x103601),f87(f922(x103602,x103601))),f327(f327(f8(f922(f922(x103602,x103601),a910),f922(f922(x103602,x103601),a910),x103601),f327(f18(f922(x103602,x103601),a910,a910),f327(f327(f8(a910,f922(a910,a910),f922(x103602,x103601)),a325),f327(f327(f7(f922(x103602,x103601),f922(f922(x103602,x103601),a910),a910),f329(f922(x103602,x103601))),x103603)))),f327(f327(f7(x103601,f922(f922(x103602,x103601),x103601),f922(f922(x103602,x103601),a910)),f327(f327(f8(f922(x103601,a910),f922(f922(f922(x103602,x103601),x103601),f922(f922(x103602,x103601),a910)),x103601),f8(x103601,a910,f922(x103602,x103601))),a324)),f327(f327(f7(f922(x103602,x103601),x103602,x103601),f5(f922(x103602,x103601))),x103604)))))),f327(f39(f922(x103602,x103601),x103603),x103604))
% 207.23/207.89 [10361]~P3(x103611)+E(f38(x103611,f327(f262(x103611),f327(f327(f8(f922(f922(x103612,x103611),a910),a910,x103611),f87(f922(x103612,x103611))),f327(f327(f8(f922(f922(x103612,x103611),a910),f922(f922(x103612,x103611),a910),x103611),f327(f18(f922(x103612,x103611),a910,a910),f327(f327(f8(a910,f922(a910,a910),f922(x103612,x103611)),a325),f327(f327(f7(f922(x103612,x103611),f922(f922(x103612,x103611),a910),a910),f329(f922(x103612,x103611))),x103613)))),f327(f327(f7(x103611,f922(f922(x103612,x103611),x103611),f922(f922(x103612,x103611),a910)),f327(f327(f8(f922(x103611,a910),f922(f922(f922(x103612,x103611),x103611),f922(f922(x103612,x103611),a910)),x103611),f8(x103611,a910,f922(x103612,x103611))),a324)),f327(f327(f7(f922(x103612,x103611),x103612,x103611),f5(f922(x103612,x103611))),x103614)))))),f327(f38(f922(x103612,x103611),x103613),x103614))
% 207.23/207.89 [10362]~P3(x103621)+E(f38(x103621,f327(f262(x103621),f327(f327(f8(f922(f922(x103622,x103621),a910),a910,x103621),f87(f922(x103622,x103621))),f327(f327(f8(f922(f922(x103622,x103621),a910),f922(f922(x103622,x103621),a910),x103621),f327(f18(f922(x103622,x103621),a910,a910),f327(f327(f8(a910,f922(a910,a910),f922(x103622,x103621)),a325),f327(f327(f7(f922(x103622,x103621),f922(f922(x103622,x103621),a910),a910),f329(f922(x103622,x103621))),x103623)))),f327(f327(f7(x103621,f922(f922(x103622,x103621),x103621),f922(f922(x103622,x103621),a910)),f327(f327(f8(f922(x103621,a910),f922(f922(f922(x103622,x103621),x103621),f922(f922(x103622,x103621),a910)),x103621),f8(x103621,a910,f922(x103622,x103621))),a324)),f327(f327(f7(f922(x103622,x103621),x103622,x103621),f5(f922(x103622,x103621))),x103624)))))),f327(f38(f922(x103622,x103621),x103623),x103624))
% 207.23/207.89 [10413]~P1(f327(f327(f329(f921(x104131,x104131)),f327(f327(f252(x104131,x104131),x104133),x104134)),f327(f327(f102(f922(f921(x104131,x104131),a910)),x104132),f307(x104131,f190(f922(f921(x104131,x104131),a910))))))+P1(f327(f327(f327(f327(f102(f922(x104131,f922(x104131,a910))),f327(f327(f7(x104131,f922(f921(x104131,x104131),a910),f922(x104131,a910)),f327(f327(f8(f922(x104131,f922(f922(f921(x104131,x104131),a910),a910)),f922(f922(f921(x104131,x104131),a910),f922(x104131,a910)),x104131),f7(x104131,f922(f921(x104131,x104131),a910),a910)),f327(f327(f8(f922(x104131,f921(x104131,x104131)),f922(x104131,f922(f922(f921(x104131,x104131),a910),a910)),x104131),f327(f8(f921(x104131,x104131),f922(f922(f921(x104131,x104131),a910),a910),x104131),f329(f921(x104131,x104131)))),f252(x104131,x104131)))),x104132)),a324),x104133),x104134))
% 207.23/207.89 [10423]P1(f327(f327(f329(f921(x104231,x104231)),f327(f327(f252(x104231,x104231),x104232),x104233)),f327(f327(f102(f922(f921(x104231,x104231),a910)),x104234),f307(x104231,f190(f922(f921(x104231,x104231),a910))))))+~P1(f327(f327(f327(f327(f102(f922(x104231,f922(x104231,a910))),f327(f327(f7(x104231,f922(f921(x104231,x104231),a910),f922(x104231,a910)),f327(f327(f8(f922(x104231,f922(f922(f921(x104231,x104231),a910),a910)),f922(f922(f921(x104231,x104231),a910),f922(x104231,a910)),x104231),f7(x104231,f922(f921(x104231,x104231),a910),a910)),f327(f327(f8(f922(x104231,f921(x104231,x104231)),f922(x104231,f922(f922(f921(x104231,x104231),a910),a910)),x104231),f327(f8(f921(x104231,x104231),f922(f922(f921(x104231,x104231),a910),a910),x104231),f329(f921(x104231,x104231)))),f252(x104231,x104231)))),x104234)),a324),x104232),x104233))
% 207.23/207.89 [10369]E(f327(f327(f152(f916(x103691)),f327(f327(f152(x103691),x103692),f327(f143(f916(x103691),f916(x103691),f135(x103691),f114(x103691)),f327(f327(f155(f916(x103691),f916(x103691)),f157(f916(x103691),x103691,f114(x103691),f327(f327(f8(f916(x103691),f922(f916(x103691),f916(x103691)),x103691),f16(f916(x103691),f916(x103691))),f327(f327(f7(x103691,f916(x103691),f916(x103691)),f152(x103691)),f114(x103691))))),x103693)))),f180(x103691,f327(f327(f152(f916(x103691)),x103694),f327(f143(f916(f916(x103691)),f916(f916(x103691)),f135(f916(x103691)),f114(f916(x103691))),f327(f327(f155(f916(x103691),f916(f916(x103691))),f157(f916(f916(x103691)),x103691,f114(f916(x103691)),f327(f16(f922(f916(x103691),f916(f916(x103691))),x103691),f327(f327(f7(f916(x103691),f916(f916(x103691)),f916(f916(x103691))),f152(f916(x103691))),f114(f916(x103691)))))),x103693))))),f180(x103691,f327(f327(f152(f916(x103691)),f327(f327(f152(x103691),x103692),x103694)),x103693)))+~P1(f327(f315(f916(f916(x103691)),f181(x103691)),f327(f327(f152(f916(x103691)),f327(f327(f152(x103691),x103692),x103694)),x103693)))
% 207.23/207.89 [10412]~P1(f327(f35(x104122),f327(f262(x104122),x104124)))+P1(f327(f35(x104121),f327(f262(x104121),f327(f327(f8(f922(x104122,a910),a910,x104121),f87(x104122)),f327(f327(f7(x104121,f922(x104122,a910),f922(x104122,a910)),f327(f327(f8(f922(x104122,f922(a910,a910)),f922(f922(x104122,a910),f922(x104122,a910)),x104121),f18(x104122,a910,a910)),f327(f327(f8(f922(x104122,a910),f922(x104122,f922(a910,a910)),x104121),f327(f8(a910,f922(a910,a910),x104122),a325)),f327(f327(f7(x104121,f922(x104122,x104121),f922(x104122,a910)),f327(f327(f8(f922(x104121,a910),f922(f922(x104122,x104121),f922(x104122,a910)),x104121),f8(x104121,a910,x104122)),a324)),x104123)))),x104124)))))
% 207.23/207.89 [8933]P23(x89331,x89332,x89333,x89334)+~P24(x89331,x89332,x89333,x89334,x89335)
% 207.23/207.89 [5430]E(x54301,x54302)+~E(f170(x54303,x54301,x54304),f170(x54303,x54302,x54305))
% 207.23/207.89 [5431]E(x54311,x54312)+~E(f127(x54313,x54314,x54311),f127(x54313,x54315,x54312))
% 207.23/207.89 [5432]E(x54321,x54322)+~E(f127(x54323,x54321,x54324),f127(x54323,x54322,x54325))
% 207.23/207.89 [8262]~E(f327(x82623,x82624),x82625)+E(f74(x82621,x82622,x82623,x82624,x82625),x82623)
% 207.23/207.89 [8791]~E(f74(x87914,x87915,x87911,x87912,x87913),x87911)+E(f327(x87911,x87912),x87913)
% 207.23/207.89 [9408]~P24(x94082,x94081,x94084,x94083,x94085)+P24(x94081,x94082,f77(x94082,x94081,x94083,x94084),x94085,x94083)
% 207.23/207.89 [9409]~P24(x94092,x94091,x94094,x94093,x94095)+P24(x94091,x94092,f92(x94092,x94091,x94093,x94094),x94095,x94093)
% 207.23/207.89 [6242]P1(f327(f250(x62421,x62422,x62423),x62424))+~P1(f327(f327(x62423,x62425),x62424))
% 207.23/207.89 [6244]P1(f327(f249(x62441,x62442,x62443),x62444))+~P1(f327(f327(x62443,x62444),x62445))
% 207.23/207.89 [6721]~E(x67215,f2(a100))+E(f327(f198(x67211,x67212,x67213,x67214),x67215),f125(x67212))
% 207.23/207.89 [6722]~E(x67225,f2(a100))+E(f327(f200(x67221,x67222,x67223,x67224),x67225),f116(x67222))
% 207.23/207.89 [6858]~E(x68583,f2(a100))+E(f327(f273(x68581,x68582,x68583,x68584),x68585),f327(f252(x68581,x68582),x68585))
% 207.23/207.89 [7913]~P18(x79134,x79131,x79132,x79135)+E(f327(f72(x79131,x79131,x79131,f327(x79132,x79133)),f327(x79132,x79133)),f327(x79132,x79133))
% 207.23/207.89 [8303]~P14(x83035,x83031,x83032)+E(f327(f72(x83031,x83031,x83031,f327(x83032,x83033)),f327(x83032,x83034)),f327(f72(x83031,x83031,x83031,f327(x83032,x83034)),f327(x83032,x83033)))
% 207.23/207.89 [8626]P1(f327(f327(f329(f921(x86261,x86261)),f327(f327(f252(x86261,x86261),x86262),x86263)),f321(x86261,x86264,x86265)))+~P1(f327(f327(f235(a915),f327(x86264,x86262)),f327(x86264,x86263)))
% 207.23/207.89 [8719]~P1(f327(f327(f329(x87194),x87193),f290(x87194,x87191,x87192,x87195)))+P1(f327(f327(x87191,x87192),x87193))
% 207.23/207.89 [8720]~P1(f327(f327(f329(x87204),x87203),f299(x87204,x87201,x87202,x87205)))+P1(f327(f327(x87201,x87202),x87203))
% 207.23/207.89 [8721]~P1(f327(f327(f329(x87214),x87212),f290(x87214,x87211,x87215,x87213)))+P1(f327(f327(x87211,x87212),x87213))
% 207.23/207.89 [8722]~P1(f327(f327(f329(x87224),x87222),f299(x87224,x87221,x87225,x87223)))+P1(f327(f327(x87221,x87222),x87223))
% 207.23/207.89 [8803]~P24(x88031,x88033,x88035,x88032,x88034)+E(f327(f36(x88031),x88032),f327(f36(x88033),x88034))
% 207.23/207.89 [8851]~P24(x88511,x88512,x88513,x88514,x88515)+E(f327(f310(x88511,x88512,x88513),x88514),x88515)
% 207.23/207.89 [8871]~P54(x88712,x88711,x88715,x88713,x88714)+E(f327(f310(x88711,x88712,x88713),x88714),f242(f922(x88712,a910)))
% 207.23/207.89 [9319]~P32(x93191,x93192,x93193,x93194,x93195)+P32(x93191,x93192,x93193,f327(f169(x93191),x93194),f327(f169(x93192),x93195))
% 207.23/207.89 [9321]~P32(x93211,x93212,x93213,f327(f169(x93211),x93214),x93215)+P32(x93211,x93212,x93213,x93214,f327(f169(x93212),x93215))
% 207.23/207.89 [9322]~P32(x93221,x93222,x93223,x93224,f327(f169(x93222),x93225))+P32(x93221,x93222,x93223,f327(f169(x93221),x93224),x93225)
% 207.23/207.89 [9328]P32(x93281,x93282,x93283,x93284,x93285)+~P32(x93281,x93282,x93283,f327(f169(x93281),x93284),f327(f169(x93282),x93285))
% 207.23/207.89 [9728]P1(f327(f327(f329(f921(f916(x97281),f916(x97281))),f327(f327(f252(f916(x97281),f916(x97281)),f327(f327(f152(x97281),x97282),x97283)),f327(f327(f152(x97281),x97282),x97284))),f158(x97281,x97285)))+~P1(f327(f327(f329(f921(f916(x97281),f916(x97281))),f327(f327(f252(f916(x97281),f916(x97281)),x97283),x97284)),f158(x97281,x97285)))
% 207.23/207.89 [9729]P1(f327(f327(f329(f921(f916(x97291),f916(x97291))),f327(f327(f252(f916(x97291),f916(x97291)),f327(f327(f135(x97291),x97292),x97293)),f327(f327(f135(x97291),x97292),x97294))),f148(x97291,x97295)))+~P1(f327(f327(f329(f921(f916(x97291),f916(x97291))),f327(f327(f252(f916(x97291),f916(x97291)),x97293),x97294)),f148(x97291,x97295)))
% 207.23/207.89 [9925]E(f327(f327(f152(x99251),f647(x99252,x99253,x99254,x99255,x99251)),f648(x99252,x99253,x99254,x99255,x99251)),x99255)+~P1(f327(f327(f329(f921(f916(x99251),f916(x99251))),f327(f327(f252(f916(x99251),f916(x99251)),x99255),f327(f327(f152(x99251),x99254),x99253))),f159(x99251,x99252)))
% 207.23/207.89 [9946]E(f327(f327(f152(x99461),f649(x99462,x99463,x99464,x99465,x99461)),f650(x99462,x99463,x99464,x99465,x99461)),x99463)+~P1(f327(f327(f329(f921(f916(x99461),f916(x99461))),f327(f327(f252(f916(x99461),f916(x99461)),f327(f327(f152(x99461),x99465),x99464)),x99463)),f159(x99461,x99462)))
% 207.23/207.89 [10092]~P1(f327(f327(f329(f921(f916(x100921),f916(x100921))),f327(f327(f252(f916(x100921),f916(x100921)),f327(f327(f152(x100921),x100925),x100922)),x100924)),f159(x100921,x100923)))+P1(f327(f327(f329(f921(f916(x100921),f916(x100921))),f327(f327(f252(f916(x100921),f916(x100921)),x100922),f650(x100923,x100924,x100922,x100925,x100921))),f159(x100921,x100923)))
% 207.23/207.89 [10172]~P1(f327(f327(f329(f921(f916(x101721),f916(x101721))),f327(f327(f252(f916(x101721),f916(x101721)),x101725),f327(f327(f152(x101721),x101724),x101723))),f159(x101721,x101722)))+P1(f327(f327(f329(f921(f916(x101721),f916(x101721))),f327(f327(f252(f916(x101721),f916(x101721)),f648(x101722,x101723,x101724,x101725,x101721)),x101723)),f159(x101721,x101722)))
% 207.23/207.89 [10363]P1(f327(f327(f329(f921(x103631,x103631)),f327(f327(f252(x103631,x103631),f327(x103632,f327(f327(f80(a915),x103633),x103634))),f327(x103632,x103633))),f307(x103631,x103635)))+~P1(f327(f327(f329(f921(x103631,x103631)),f327(f327(f252(x103631,x103631),f327(x103632,f327(a113,f602(x103634,x103633,x103635,x103632,x103631)))),f327(x103632,f602(x103634,x103633,x103635,x103632,x103631)))),f307(x103631,x103635)))
% 207.23/207.89 [5398]E(x53981,x53982)+~E(f327(f327(f152(x53983),x53984),x53981),f327(f327(f152(x53983),x53985),x53982))
% 207.23/207.89 [5399]E(x53991,x53992)+~E(f327(f327(f152(x53993),x53991),x53994),f327(f327(f152(x53993),x53992),x53995))
% 207.23/207.89 [5447]P1(f327(x54471,x54472))+~E(f327(f137(x54473,x54471),x54474),f327(f327(f152(x54473),x54472),x54475))
% 207.23/207.89 [5448]P1(f327(x54481,x54482))+~E(f327(f327(f152(x54483),x54482),x54484),f327(f137(x54483,x54481),x54485))
% 207.23/207.89 [5607]~E(f327(f327(f139(x56071),x56073),x56072),f327(f327(f152(x56071),x56074),x56075))+E(f327(f327(f165(x56071),x56072),x56073),x56074)
% 207.23/207.89 [5748]~P12(x57484,x57485,x57481)+E(f327(f327(x57481,x57482),f327(f327(x57481,x57482),x57483)),f327(f327(x57481,x57482),x57483))
% 207.23/207.89 [6302]~E(x63024,f2(a100))+E(f327(f327(f118(x63021,x63022,x63023),x63024),x63025),f327(f327(f252(f916(x63022),x63021),f114(x63022)),x63025))
% 207.23/207.89 [6374]~P108(x63742)+~E(f327(f327(f149(x63741,x63742,x63743),x63744),x63745),f114(x63741))
% 207.23/207.89 [6760]E(x67601,x67602)+~E(f327(f327(f135(x67603),x67604),f327(f327(f152(x67603),x67601),f114(x67603))),f327(f327(f135(x67603),x67605),f327(f327(f152(x67603),x67602),f114(x67603))))
% 207.23/207.89 [6761]E(x67611,x67612)+~E(f327(f327(f135(x67613),x67611),f327(f327(f152(x67613),x67614),f114(x67613))),f327(f327(f135(x67613),x67612),f327(f327(f152(x67613),x67615),f114(x67613))))
% 207.23/207.89 [7077]E(f327(f327(f309(x70771),f327(x70772,x70773)),f327(f310(x70774,x70771,x70772),x70775)),f327(f310(x70774,x70771,x70772),x70775))+~P1(f327(f327(f329(x70774),x70773),x70775))
% 207.23/207.89 [7084]~P1(f327(x70844,f327(x70843,x70845)))+P1(f327(f327(f311(x70841,x70842,x70843),x70844),x70845))
% 207.23/207.89 [7087]~P1(f327(f327(x70873,x70875),x70874))+P1(f327(f327(f243(x70871,x70872,x70873),x70874),x70875))
% 207.23/207.89 [7183]~E(f327(f310(x71831,x71832,x71833),x71834),x71835)+E(f327(f310(f922(x71831,a910),f922(x71832,a910),f310(x71831,x71832,x71833)),f327(f308(x71831),x71834)),f327(f308(x71832),x71835))
% 207.23/207.89 [7212]E(f327(f271(x72121,x72122,x72123,x72124),x72125),f327(x72124,x72125))+~P1(f327(f327(f329(x72121),x72125),x72123))
% 207.23/207.89 [7527]P23(x75271,x75272,x75273,x75274)+~P23(x75271,x75272,x75273,f327(f327(f309(x75271),x75275),x75274))
% 207.23/207.89 [7590]P1(f327(x75901,x75902))+~P1(f327(f327(f93(x75903,x75904,x75901),x75905),x75902))
% 207.23/207.89 [7631]~P1(f327(f327(f329(x76314),x76313),x76315))+P1(f327(f327(f329(x76311),f327(x76312,x76313)),f327(f310(x76314,x76311,x76312),x76315)))
% 207.23/207.89 [7652]~P108(x76522)+E(f151(x76521,x76522,x76523,f327(f137(x76521,x76524),x76525)),f327(f137(x76521,x76524),f151(x76521,x76522,x76523,x76525)))
% 207.23/207.89 [7682]P1(f327(x76821,f327(x76822,x76823)))+~P1(f327(f327(f311(x76824,x76825,x76822),x76821),x76823))
% 207.23/207.89 [7685]P1(f327(f327(x76851,x76852),x76853))+~P1(f327(f327(f243(x76854,x76855,x76851),x76853),x76852))
% 207.23/207.89 [7686]P1(f327(f327(x76861,x76862),x76863))+~P1(f327(f327(f93(x76864,x76861,x76865),x76862),x76863))
% 207.23/207.89 [7749]~P1(f327(f327(f329(x77493),f327(x77494,x77492)),x77495))+P1(f327(f327(f329(x77491),x77492),f327(f311(x77491,x77493,x77494),x77495)))
% 207.23/207.89 [8144]~P1(f327(f327(f329(x81445),x81443),f327(f311(x81445,x81441,x81442),x81444)))+P1(f327(f327(f329(x81441),f327(x81442,x81443)),x81444))
% 207.23/207.89 [8442]~P14(x84422,x84421,x84423)+E(f327(f143(x84421,x84422,f327(f7(x84422,x84421,x84421),x84423),x84424),f153(x84422,x84425)),f327(f327(f64(x84422,x84421,x84423),x84424),f327(f173(x84422),x84425)))
% 207.23/207.89 [8464]E(f327(x84641,f776(x84642,x84641,x84643,x84644)),x84644)+~P1(f327(f327(f329(x84645),x84644),f327(f310(x84643,x84645,x84641),x84642)))
% 207.23/207.89 [8766]~E(x87662,f327(f327(f152(x87661),x87664),x87665))+P1(f327(f327(f329(f921(f916(x87661),f916(x87661))),f327(f327(f252(f916(x87661),f916(x87661)),f114(x87661)),x87662)),f148(x87661,x87663)))
% 207.23/207.89 [8812]E(f327(x88121,f327(f92(x88122,x88123,x88124,x88121),x88125)),x88125)+~P1(f327(f327(f329(x88123),x88125),f327(f310(x88122,x88123,x88121),x88124)))
% 207.23/207.89 [8815]P23(x88151,x88152,f92(x88152,x88151,x88153,x88154),x88155)+~P1(f327(f327(f234(f922(x88151,a910)),x88155),f327(f310(x88152,x88151,x88154),x88153)))
% 207.23/207.89 [8822]~P32(x88221,x88223,x88225,x88222,x88224)+E(f327(f191(f916(x88221)),x88222),f327(f191(f916(x88223)),x88224))
% 207.23/207.89 [8833]P1(f327(f327(f234(f922(x88331,a910)),f327(f327(f41(x88332,f922(x88331,a910)),x88333),x88334)),f327(x88334,x88335)))+~P1(f327(f327(f329(x88332),x88335),x88333))
% 207.23/207.89 [8887]~P54(x88871,x88872,x88873,x88875,x88874)+E(f327(f310(x88871,x88872,x88873),f242(f922(x88871,a910))),x88874)
% 207.23/207.89 [9114]E(f327(f137(x91141,x91142),f737(x91143,x91144,x91145,x91142,x91141)),x91143)+~E(f327(f137(x91141,x91142),x91145),f327(f327(f152(x91141),x91144),x91143))
% 207.23/207.89 [9115]E(f327(f137(x91151,x91152),f738(x91153,x91152,x91154,x91155,x91151)),x91154)+~E(f327(f327(f152(x91151),x91155),x91154),f327(f137(x91151,x91152),x91153))
% 207.23/207.89 [9208]E(f327(f191(f916(x92081)),x92082),x92083)+~P1(f327(f327(f329(f921(f916(x92081),f916(x92081))),f327(f327(f252(f916(x92081),f916(x92081)),x92084),x92082)),f327(f144(x92081,x92085),x92083)))
% 207.23/207.89 [9209]E(f327(f191(f916(x92091)),x92092),x92093)+~P1(f327(f327(f329(f921(f916(x92091),f916(x92091))),f327(f327(f252(f916(x92091),f916(x92091)),x92092),x92094)),f327(f144(x92091,x92095),x92093)))
% 207.23/207.89 [9278]P1(f327(f327(f329(x92781),f776(x92782,x92783,x92781,x92784)),x92782))+~P1(f327(f327(f329(x92785),x92784),f327(f310(x92781,x92785,x92783),x92782)))
% 207.23/207.89 [9435]E(f327(f310(x94351,x94352,x94353),f481(x94354,x94353,x94351,x94355,x94352)),x94355)+~P1(f327(f327(f234(f922(x94352,a910)),x94355),f327(f310(x94351,x94352,x94353),x94354)))
% 207.23/207.89 [9746]P1(f327(f327(f329(f921(f916(x97461),f916(x97461))),f327(f327(f252(f916(x97461),f916(x97461)),f327(f327(f152(x97461),x97462),x97463)),f327(f327(f152(x97461),x97462),x97464))),f307(f916(x97461),f158(x97461,x97465))))+~P1(f327(f327(f329(f921(f916(x97461),f916(x97461))),f327(f327(f252(f916(x97461),f916(x97461)),x97463),x97464)),f307(f916(x97461),f158(x97461,x97465))))
% 207.23/207.89 [9777]~E(f327(x97773,f690(x97775,x97774,x97773,x97772,x97771)),f327(x97775,f690(x97775,x97774,x97773,x97772,x97771)))+E(f327(f327(f155(x97771,x97772),x97773),x97774),f327(f327(f155(x97771,x97772),x97775),x97774))
% 207.23/207.89 [9852]~E(f327(f137(x98521,x98525),x98524),f327(f327(f152(x98521),x98523),x98522))+E(f327(f327(f135(x98521),f741(x98522,x98523,x98524,x98525,x98521)),f327(f327(f152(x98521),x98523),f737(x98522,x98523,x98524,x98525,x98521))),x98524)
% 207.23/207.89 [9853]~E(f327(f327(f152(x98531),x98535),x98534),f327(f137(x98531,x98533),x98532))+E(f327(f327(f135(x98531),f739(x98532,x98533,x98534,x98535,x98531)),f327(f327(f152(x98531),x98535),f738(x98532,x98533,x98534,x98535,x98531))),x98532)
% 207.23/207.89 [9857]E(f327(f327(f155(x98571,x98572),x98573),x98574),f327(f327(f155(x98571,x98572),x98575),x98574))+P1(f327(f327(f329(x98571),f690(x98573,x98574,x98575,x98572,x98571)),f327(f173(x98571),x98574)))
% 207.23/207.89 [9887]~P1(f327(f327(f329(x98875),x98874),f327(f285(x98871,x98875,x98873),x98872)))+P1(f327(f327(f329(x98871),f509(x98872,x98873,x98871,x98874,x98875)),x98872))
% 207.23/207.89 [9888]~P1(f327(f327(f329(x98885),x98884),f327(f285(x98881,x98885,x98883),x98882)))+P1(f327(f327(f329(x98881),f533(x98882,x98883,x98881,x98884,x98885)),x98882))
% 207.23/207.89 [9919]~P1(f327(f327(f234(f922(x99195,a910)),x99194),f327(f310(x99191,x99195,x99193),x99192)))+P1(f327(f327(f234(f922(x99191,a910)),f481(x99192,x99193,x99191,x99194,x99195)),x99192))
% 207.23/207.89 [10364]E(x103641,f2(a100))+E(f225(f921(f916(x103642),x103643),f921(x103642,x103643),f327(f327(f252(f916(x103642),x103643),f114(x103642)),x103644),f327(f257(x103642,x103643,f921(f916(x103642),x103643)),f327(f327(f7(x103642,f922(x103643,f921(f916(x103642),x103643)),f922(x103643,f921(f916(x103642),x103643))),f327(f327(f8(f922(f921(f916(x103642),x103643),f921(f916(x103642),x103643)),f922(f922(x103643,f921(f916(x103642),x103643)),f922(x103643,f921(f916(x103642),x103643))),x103642),f8(f921(f916(x103642),x103643),f921(f916(x103642),x103643),x103643)),f327(f327(f8(f922(f916(x103642),f922(x103643,f921(f916(x103642),x103643))),f922(f921(f916(x103642),x103643),f921(f916(x103642),x103643)),x103642),f257(f916(x103642),x103643,f921(f916(x103642),x103643))),f327(f327(f8(f922(f916(x103642),f916(x103642)),f922(f916(x103642),f922(x103643,f921(f916(x103642),x103643))),x103642),f327(f8(f916(x103642),f922(x103643,f921(f916(x103642),x103643)),f916(x103642)),f252(f916(x103642),x103643))),f152(x103642))))),f327(f118(x103643,x103642,x103645),f327(f327(f23(a100),x103641),f78(a100))))),f327(x103645,x103644)),f327(f327(f118(x103643,x103642,x103645),x103641),x103644))
% 207.23/207.89 [6177]E(x61771,x61772)+~E(f327(f256(x61773,x61774),f327(f327(f252(x61773,x61774),x61775),x61771)),x61772)
% 207.23/207.89 [6178]E(x61781,x61782)+~E(f327(f251(x61783,x61784),f327(f327(f252(x61783,x61784),x61781),x61785)),x61782)
% 207.23/207.89 [6448]~E(x64483,f327(f327(f135(x64481),x64484),f327(f327(f152(x64481),x64482),x64485)))+P1(f327(f327(f329(x64481),x64482),f327(f173(x64481),x64483)))
% 207.23/207.89 [6845]E(f327(f310(x68451,x68452,f327(f16(x68452,x68451),x68453)),x68454),f327(f327(f309(x68452),x68453),f190(f922(x68452,a910))))+~P1(f327(f327(f329(x68451),x68455),x68454))
% 207.23/207.89 [6918]E(f327(f327(f102(f922(x69181,a910)),f327(f173(x69181),x69182)),f327(f173(x69181),x69183)),f327(f173(x69181),x69184))+~E(f167(x69181,x69185,x69184),f327(f327(f252(f916(x69181),f916(x69181)),x69182),x69183))
% 207.23/207.89 [7017]~P108(x70172)+E(f327(f191(f916(x70171)),f327(f327(f149(x70171,x70172,x70173),x70174),x70175)),f327(a113,f327(f191(f916(x70171)),x70175)))
% 207.23/207.89 [7031]~P108(x70312)+E(f327(f173(x70311),f327(f327(f149(x70311,x70312,x70313),x70314),x70315)),f327(f327(f309(x70311),x70314),f327(f173(x70311),x70315)))
% 207.23/207.89 [7306]~P112(x73061)+E(f327(f327(f80(x73061),f327(f327(f80(x73061),x73062),x73063)),f327(f327(f80(x73061),x73064),x73065)),f327(f327(f80(x73061),f327(f327(f80(x73061),x73062),x73064)),f327(f327(f80(x73061),x73063),x73065)))
% 207.23/207.89 [7307]~P112(x73071)+E(f327(f327(f81(x73071),f327(f327(f81(x73071),x73072),x73073)),f327(f327(f81(x73071),x73074),x73075)),f327(f327(f81(x73071),f327(f327(f81(x73071),x73072),x73074)),f327(f327(f81(x73071),x73073),x73075)))
% 207.23/207.89 [7308]~P61(x73081)+E(f327(f327(f291(x73081),f327(f327(f81(x73081),x73082),x73083)),f327(f327(f81(x73081),x73084),x73085)),f327(f327(f81(x73081),f327(f327(f291(x73081),x73082),x73084)),f327(f327(f291(x73081),x73083),x73085)))
% 207.23/207.89 [7322]~P108(x73221)+E(f306(x73221,f327(f327(f189(x73221),x73222),x73223),f327(f327(f238(x73221),x73224),x73225)),f327(f327(f103(f922(x73221,a910)),f306(x73221,x73222,x73224)),f306(x73221,x73223,x73225)))
% 207.23/207.89 [7323]~P108(x73231)+E(f305(x73231,f327(f327(f189(x73231),x73232),x73233),f327(f327(f238(x73231),x73234),x73235)),f327(f327(f103(f922(x73231,a910)),f305(x73231,x73232,x73234)),f305(x73231,x73233,x73235)))
% 207.23/207.89 [7324]~P108(x73241)+E(f303(x73241,f327(f327(f189(x73241),x73242),x73243),f327(f327(f238(x73241),x73244),x73245)),f327(f327(f103(f922(x73241,a910)),f303(x73241,x73242,x73244)),f303(x73241,x73243,x73245)))
% 207.23/207.89 [7325]~P108(x73251)+E(f327(f327(f103(f922(x73251,a910)),f327(f302(x73251,x73252),x73253)),f327(f302(x73251,x73254),x73255)),f327(f302(x73251,f327(f327(f189(x73251),x73252),x73254)),f327(f327(f238(x73251),x73253),x73255)))
% 207.23/207.89 [7447]~P1(f327(x74471,f505(x74473,x74472,x74471)))+P1(f327(x74471,f327(f327(f252(x74472,x74473),x74474),x74475)))
% 207.23/207.89 [7557]~E(x75572,f327(x75574,x75575))+P1(f327(f327(f329(x75571),x75572),f327(f310(x75573,x75571,x75574),f242(f922(x75573,a910)))))
% 207.23/207.89 [7628]~P12(x76283,x76282,x76284)+P12(x76281,x76282,f327(f327(f8(x76283,f922(x76282,x76282),x76281),x76284),x76285))
% 207.23/207.89 [7629]~P14(x76293,x76292,x76294)+P14(x76291,x76292,f327(f327(f8(x76293,f922(x76292,x76292),x76291),x76294),x76295))
% 207.23/207.89 [7766]~P23(x77661,x77662,x77663,x77664)+P23(x77661,x77662,x77663,f327(f327(f23(f922(x77661,a910)),x77664),x77665))
% 207.23/207.89 [7922]~P1(f327(f327(x79223,x79224),x79225))+P1(f327(f327(f257(x79221,x79222,a910),x79223),f327(f327(f252(x79221,x79222),x79224),x79225)))
% 207.23/207.89 [8034]~P1(f327(x80342,x80344))+~E(f327(f327(f139(x80341),f327(f191(f916(x80341)),f178(x80341,x80342,x80343))),x80343),f327(f327(f152(x80341),x80344),x80345))
% 207.23/207.89 [8054]P23(x80541,x80542,x80543,x80544)+~P23(x80541,x80542,x80543,f327(f327(f102(f922(x80541,a910)),x80545),x80544))
% 207.23/207.89 [8055]P23(x80551,x80552,x80553,x80554)+~P23(x80551,x80552,x80553,f327(f327(f102(f922(x80551,a910)),x80554),x80555))
% 207.23/207.89 [8102]~P108(x81022)+E(f327(f327(f149(x81021,x81022,x81023),x81024),f151(x81021,x81022,x81023,x81025)),f151(x81021,x81022,x81023,f327(f327(f152(x81021),x81024),x81025)))
% 207.23/207.89 [8419]~P12(x84192,x84191,x84193)+E(f327(f143(x84191,x84192,f327(f7(x84192,x84191,x84191),x84193),x84194),x84195),f327(f327(f64(x84192,x84191,x84193),x84194),f327(f173(x84192),x84195)))
% 207.23/207.89 [8447]~E(f327(f327(f139(x84471),f327(f191(f916(x84471)),f178(x84471,x84472,x84473))),x84473),f327(f327(f152(x84471),x84474),x84475))+E(f327(f327(f135(x84471),f178(x84471,x84472,x84473)),f327(f327(f152(x84471),x84474),x84475)),x84473)
% 207.23/207.89 [8474]P1(f327(f327(x84741,x84742),x84743))+~P1(f327(f327(f257(x84744,x84745,a910),x84741),f327(f327(f252(x84744,x84745),x84742),x84743)))
% 207.23/207.89 [8950]P1(f327(f327(f234(f922(x89501,a910)),f327(f310(x89502,x89501,x89503),x89504)),f327(f310(x89502,x89501,x89503),x89505)))+~P1(f327(f327(f234(f922(x89502,a910)),x89504),x89505))
% 207.23/207.89 [8951]P1(f327(f327(f234(f922(x89511,a910)),f327(f311(x89511,x89512,x89513),x89514)),f327(f311(x89511,x89512,x89513),x89515)))+~P1(f327(f327(f234(f922(x89512,a910)),x89514),x89515))
% 207.23/207.89 [9030]E(x90301,f2(a100))+E(f327(f327(f259(x90302,x90303,x90302,f921(x90303,x90302)),f327(x90304,x90305)),f273(x90303,x90302,f327(f327(f23(a100),x90301),f78(a100)),x90304)),f327(f273(x90303,x90302,x90301,x90304),x90305))
% 207.23/207.89 [9141]P1(f327(f327(f255(x91411,x91412,a910,x91413),x91414),x91415))+~P1(f327(x91413,f327(f327(f252(x91411,x91412),x91414),x91415)))
% 207.23/207.89 [9414]~P1(f327(f327(f255(x94142,x94143,a910,x94141),x94144),x94145))+P1(f327(x94141,f327(f327(f252(x94142,x94143),x94144),x94145)))
% 207.23/207.89 [9596]~P1(f327(f327(f329(x95962),x95965),f327(f310(x95961,x95962,x95964),x95963)))+P1(f327(f327(f329(x95961),f327(f92(x95961,x95962,x95963,x95964),x95965)),x95963))
% 207.23/207.89 [9687]~P1(f327(f35(x96873),f327(f310(x96872,x96873,x96875),f242(f922(x96872,a910)))))+P1(f327(f35(x96871),f327(f310(x96872,x96871,f327(f327(f8(x96873,x96871,x96872),x96874),x96875)),f242(f922(x96872,a910)))))
% 207.23/207.89 [9713]P1(f327(f327(f234(f922(f922(x97131,a910),a910)),f327(f310(f922(x97132,a910),f922(x97131,a910),f310(x97132,x97131,x97133)),f327(f308(x97132),x97134))),f327(f308(x97131),x97135)))+~P1(f327(f327(f234(f922(x97131,a910)),f327(f310(x97132,x97131,x97133),x97134)),x97135))
% 207.23/207.89 [9785]E(x97851,x97852)+~P1(f327(f66(x97853,x97854,x97855,x97851,f190(f922(x97853,a910))),x97852))
% 207.23/207.89 [9801]E(f327(f327(f252(x98011,x98012),f562(x98013,x98014,x98015,x98012,x98011)),f563(x98013,x98014,x98015,x98012,x98011)),x98015)+~P1(f327(f327(f329(f921(x98011,x98012)),x98015),f327(f327(f254(x98011,x98012),x98014),x98013)))
% 207.23/207.89 [9893]P1(f327(f327(f329(x98931),f562(x98932,x98933,x98934,x98935,x98931)),x98933))+~P1(f327(f327(f329(f921(x98931,x98935)),x98934),f327(f327(f254(x98931,x98935),x98933),x98932)))
% 207.23/207.89 [9994]P22(x99945,x99944,f327(f327(f309(f913(x99945)),f327(f327(f327(f91(x99945),x99941),x99943),x99942)),f190(f922(f913(x99945),a910))))+P1(f327(f327(x99941,f866(x99942,x99943,x99944,x99945,x99941)),f877(x99942,x99943,x99944,x99945,x99941)))
% 207.23/207.89 [10050]P1(f327(f327(f329(x100501),f563(x100502,x100503,x100504,x100501,x100505)),f327(x100502,f562(x100502,x100503,x100504,x100501,x100505))))+~P1(f327(f327(f329(f921(x100505,x100501)),x100504),f327(f327(f254(x100505,x100501),x100503),x100502)))
% 207.23/207.89 [10070]P1(f327(f327(f329(f921(x100701,x100701)),f327(f327(f252(x100701,x100701),x100702),f623(x100703,x100704,x100705,x100702,x100701))),x100703))+~P1(f327(f327(f329(f921(x100701,x100701)),f327(f327(f252(x100701,x100701),x100702),x100705)),f327(f327(f184(f921(x100701,x100701),a910),f327(a113,x100704)),x100703)))
% 207.23/207.89 [10071]P1(f327(f327(f329(f921(x100711,x100711)),f327(f327(f252(x100711,x100711),x100712),f624(x100713,x100714,x100715,x100712,x100711))),x100713))+~P1(f327(f327(f329(f921(x100711,x100711)),f327(f327(f252(x100711,x100711),x100712),x100715)),f327(f327(f184(f921(x100711,x100711),a910),f327(a113,x100714)),x100713)))
% 207.23/207.89 [10088]~P1(f327(f327(f329(f921(f916(x100881),f916(x100881))),f327(f327(f252(f916(x100881),f916(x100881)),f327(f327(f152(x100881),x100882),x100885)),x100884)),f159(x100881,x100883)))+P1(f327(f327(f329(f921(x100881,x100881)),f327(f327(f252(x100881,x100881),x100882),f649(x100883,x100884,x100885,x100882,x100881))),x100883))
% 207.23/207.89 [10090]~P22(x100901,x100902,f327(f327(f309(f913(x100901)),f327(f327(f327(f91(x100901),f93(x100901,x100903,x100904)),x100905),x100903)),f190(f922(f913(x100901),a910))))+P22(x100901,x100902,f327(f327(f309(f913(x100901)),f327(f327(f327(f91(x100901),x100903),f29(x100904,x100905)),f93(x100901,x100903,f327(f72(a910,a910,a911,a322),x100904)))),f190(f922(f913(x100901),a910))))
% 207.23/207.89 [10388]P22(x103881,x103882,f327(f327(f309(f913(x103881)),f327(f327(f327(f91(x103881),x103883),x103884),x103885)),f190(f922(f913(x103881),a910))))+~P22(x103881,x103882,f327(f327(f309(f913(x103881)),f327(f327(f327(f91(x103881),f327(f16(f922(a911,a910),x103881),f327(f327(f7(a911,a911,a910),a324),f877(x103885,x103884,x103882,x103881,x103883)))),x103884),f327(f16(f922(a911,a910),x103881),f327(x103885,f866(x103885,x103884,x103882,x103881,x103883))))),f190(f922(f913(x103881),a910))))
% 207.23/207.89 [6526]P1(f327(x65262,x65264))+E(f178(x65261,x65262,f327(f327(f135(x65261),x65263),f327(f327(f152(x65261),x65264),x65265))),f178(x65261,x65262,x65263))
% 207.23/207.89 [6575]~P66(x65752)+E(f327(f327(f327(f23(f922(x65751,x65752)),x65753),x65754),x65755),f327(f327(f23(x65752),f327(x65753,x65755)),f327(x65754,x65755)))
% 207.23/207.89 [6577]~P96(x65772)+E(f327(f327(f327(f102(f922(x65771,x65772)),x65773),x65774),x65775),f327(f327(f102(x65772),f327(x65773,x65775)),f327(x65774,x65775)))
% 207.23/207.89 [6579]~P96(x65792)+E(f327(f327(f327(f103(f922(x65791,x65792)),x65793),x65794),x65795),f327(f327(f103(x65792),f327(x65793,x65795)),f327(x65794,x65795)))
% 207.23/207.89 [6596]E(x65961,x65962)+E(f327(f327(f165(x65963),f327(f327(f160(x65963,x65964),x65961),x65965)),x65962),f327(f327(f165(x65963),x65964),x65962))
% 207.23/207.89 [6864]~E(x68644,f190(f922(x68643,a910)))+E(f327(f327(f23(f922(x68641,a910)),x68642),f327(f327(f40(x68643,f922(x68641,a910)),x68644),x68645)),x68642)
% 207.23/207.89 [6865]~E(x68654,f190(f922(x68653,a910)))+E(f327(f327(f102(f922(x68651,a910)),x68652),f327(f327(f40(x68653,f922(x68651,a910)),x68654),x68655)),x68652)
% 207.23/207.89 [6866]~E(x68664,f190(f922(x68663,a910)))+E(f327(f327(f103(f922(x68661,a910)),x68662),f327(f327(f41(x68663,f922(x68661,a910)),x68664),x68665)),x68662)
% 207.23/207.89 [6881]~E(x68814,f190(f922(x68813,a910)))+E(f327(f327(f309(x68811),x68812),f327(f327(f40(x68813,f922(x68811,a910)),x68814),x68815)),f327(f327(f309(x68811),x68812),f190(f922(x68811,a910))))
% 207.23/207.89 [7674]E(f327(f327(f165(x76741),f327(f327(f155(x76742,x76741),x76743),x76744)),x76745),f327(x76743,f327(f327(f165(x76742),x76744),x76745)))+~P1(f327(f327(f235(a915),x76745),f327(f191(f916(x76742)),x76744)))
% 207.23/207.89 [7737]E(f327(f327(f102(f922(x77371,a910)),f327(x77372,x77373)),f327(f327(f40(x77374,f922(x77371,a910)),x77375),x77372)),f327(f327(f40(x77374,f922(x77371,a910)),x77375),x77372))+~P1(f327(f327(f329(x77374),x77373),x77375))
% 207.23/207.89 [7738]E(f327(f327(f103(f922(x77381,a910)),f327(x77382,x77383)),f327(f327(f41(x77384,f922(x77381,a910)),x77385),x77382)),f327(f327(f41(x77384,f922(x77381,a910)),x77385),x77382))+~P1(f327(f327(f329(x77384),x77383),x77385))
% 207.23/207.89 [8342]~E(x83423,f190(f922(x83421,a910)))+E(f327(f327(f40(x83421,f922(x83422,a910)),x83423),f327(f327(f8(f922(x83422,a910),f922(x83422,a910),x83421),f327(f309(x83422),x83424)),x83425)),f190(f922(x83422,a910)))
% 207.23/207.89 [8347]~P1(f327(f327(f329(x83474),x83473),x83475))+P1(f327(f327(f234(f922(x83471,a910)),f327(x83472,x83473)),f327(f327(f40(x83474,f922(x83471,a910)),x83475),x83472)))
% 207.23/207.89 [8473]~E(f327(x84734,x84732),x84735)+P1(f327(f327(f329(x84731),x84732),f327(f311(x84731,x84733,x84734),f327(f327(f309(x84733),x84735),f190(f922(x84733,a910))))))
% 207.23/207.89 [8520]~P52(x85201,x85202,f327(f286(x85202,x85201),x85203))+E(f327(f327(f103(f922(x85201,a910)),f327(f285(x85202,x85201,x85203),x85204)),f327(f285(x85202,x85201,x85203),x85205)),f327(f285(x85202,x85201,x85203),f327(f327(f103(f922(x85202,a910)),x85204),x85205)))
% 207.23/207.89 [8595]E(x85951,f2(a100))+E(f327(f119(x85952,x85953,f327(x85954,f327(f327(f23(a100),x85951),f78(a100)))),f327(f327(f7(x85952,a100,f917(x85953)),x85955),x85951)),f327(f200(x85952,x85953,x85954,x85955),x85951))
% 207.23/207.89 [8633]E(x86331,f190(f922(x86332,a910)))+E(f327(f327(f40(x86332,f922(x86333,a910)),x86331),f327(f327(f8(f922(x86333,a910),f922(x86333,a910),x86332),f327(f309(x86333),x86334)),x86335)),f327(f327(f309(x86333),x86334),f327(f327(f40(x86332,f922(x86333,a910)),x86331),x86335)))
% 207.23/207.89 [8684]~P23(x86842,x86841,x86843,f242(f922(x86842,a910)))+E(f327(f327(f23(f922(x86841,a910)),f327(f310(x86842,x86841,x86843),x86844)),f327(f310(x86842,x86841,x86843),x86845)),f327(f310(x86842,x86841,x86843),f327(f327(f23(f922(x86842,a910)),x86844),x86845)))
% 207.23/207.89 [8685]~P23(x86852,x86851,x86853,f242(f922(x86852,a910)))+E(f327(f327(f103(f922(x86851,a910)),f327(f310(x86852,x86851,x86853),x86854)),f327(f310(x86852,x86851,x86853),x86855)),f327(f310(x86852,x86851,x86853),f327(f327(f103(f922(x86852,a910)),x86854),x86855)))
% 207.23/207.89 [8753]~P1(f327(f327(f67(x87531,x87532,x87535),x87533),x87534))+P1(f327(f327(f329(f921(x87531,x87532)),f327(f327(f252(x87531,x87532),x87533),x87534)),x87535))
% 207.23/207.89 [8785]P1(f327(f327(f329(x87851),x87852),f327(f284(x87853,x87851),x87854)))+~P1(f327(f327(f329(f921(x87853,x87851)),f327(f327(f252(x87853,x87851),x87855),x87852)),x87854))
% 207.23/207.89 [8787]P1(f327(f327(f329(x87871),x87872),f327(f264(x87871,x87873),x87874)))+~P1(f327(f327(f329(f921(x87871,x87873)),f327(f327(f252(x87871,x87873),x87872),x87875)),x87874))
% 207.23/207.89 [8934]P1(f327(f327(f67(x89341,x89342,x89343),x89344),x89345))+~P1(f327(f327(f329(f921(x89341,x89342)),f327(f327(f252(x89341,x89342),x89344),x89345)),x89343))
% 207.23/207.89 [8973]E(f327(x89731,x89732),x89733)+~P1(f327(f327(f329(x89734),x89732),f327(f311(x89734,x89735,x89731),f327(f327(f309(x89735),x89733),f190(f922(x89735,a910))))))
% 207.23/207.89 [9205]P1(f327(f327(f329(f921(x92051,x92052)),f327(f327(f252(x92051,x92052),x92053),x92054)),f327(f286(x92052,x92051),x92055)))+~P1(f327(f327(f329(f921(x92052,x92051)),f327(f327(f252(x92052,x92051),x92054),x92053)),x92055))
% 207.23/207.89 [9223]~P1(f327(f327(x92231,x92235),x92234))+P1(f327(f327(x92231,f327(f256(x92232,x92233),f327(f327(f252(x92232,x92233),x92234),x92235))),f327(f251(x92232,x92233),f327(f327(f252(x92232,x92233),x92234),x92235))))
% 207.23/207.89 [9253]~P1(f327(f327(f329(f921(x92532,x92531)),f327(f327(f252(x92532,x92531),x92534),x92533)),f327(f286(x92531,x92532),x92535)))+P1(f327(f327(f329(f921(x92531,x92532)),f327(f327(f252(x92531,x92532),x92533),x92534)),x92535))
% 207.23/207.89 [9285]~P1(f327(f327(f329(f921(x92853,x92851)),f327(f327(f252(x92853,x92851),x92855),x92852)),x92854))+P1(f327(f327(f329(x92851),x92852),f327(f285(x92853,x92851,x92854),f327(f327(f309(x92853),x92855),f190(f922(x92853,a910))))))
% 207.23/207.89 [9332]P1(f327(f327(f329(f921(x93321,x93322)),f327(f327(f252(x93321,x93322),x93323),x93324)),x93325))+~P1(f327(f327(f329(x93322),x93324),f327(f285(x93321,x93322,x93325),f327(f327(f309(x93321),x93323),f190(f922(x93321,a910))))))
% 207.23/207.89 [9421]~P68(x94211)+E(f327(f327(f6(a915,x94211),x94212),f303(a915,f327(f327(f80(a915),x94213),x94214),f327(f327(f80(a915),x94215),x94214))),f327(f327(f6(a915,x94211),f327(f327(f8(a915,x94211,a915),x94212),f327(f327(f7(a915,a915,a915),f80(a915)),x94214))),f303(a915,x94213,x94215)))
% 207.23/207.89 [9440]~P68(x94401)+E(f327(f327(f6(a915,x94401),x94402),f327(f302(a915,f327(f327(f80(a915),x94403),x94404)),f327(f327(f80(a915),x94405),x94404))),f327(f327(f6(a915,x94401),f327(f327(f8(a915,x94401,a915),x94402),f327(f327(f7(a915,a915,a915),f80(a915)),x94404))),f327(f302(a915,x94403),x94405)))
% 207.23/207.89 [9496]~P23(x94961,x94962,x94963,f242(f922(x94961,a910)))+E(f327(f327(f155(x94961,x94962),x94963),f327(f137(x94961,f327(f327(f8(a910,a910,x94961),a322),f327(a324,x94964))),x94965)),f327(f137(x94962,f327(f327(f8(a910,a910,x94962),a322),f327(a324,f327(x94963,x94964)))),f327(f327(f155(x94961,x94962),x94963),x94965)))
% 207.23/207.89 [9514]~P23(x95141,x95142,x95143,f327(f327(f309(x95141),x95144),f327(f173(x95141),x95145)))+E(f327(f327(f155(x95141,x95142),x95143),f327(f137(x95141,f327(f327(f8(a910,a910,x95141),a322),f327(a324,x95144))),x95145)),f327(f137(x95142,f327(f327(f8(a910,a910,x95142),a322),f327(a324,f327(x95143,x95144)))),f327(f327(f155(x95141,x95142),x95143),x95145)))
% 207.23/207.89 [9675]P1(f327(f327(f329(f921(f916(x96751),f916(x96751))),f327(f327(f252(f916(x96751),f916(x96751)),f327(f327(f152(x96751),x96752),x96753)),f327(f327(f152(x96751),x96754),x96753))),f158(x96751,x96755)))+~P1(f327(f327(f329(f921(x96751,x96751)),f327(f327(f252(x96751,x96751),x96752),x96754)),x96755))
% 207.23/207.89 [9796]E(f327(f327(f309(x97961),f561(x97962,x97963,x97964,x97965,x97961)),f579(x97962,x97963,x97964,x97965,x97961)),f327(f327(f309(x97961),x97964),x97963))+~P1(f327(f62(x97961,x97965,f327(f327(f309(x97961),x97964),x97963)),x97962))
% 207.23/207.89 [9797]E(f327(f327(f309(x97971),f589(x97972,x97973,x97974,x97975,x97971)),f598(x97972,x97973,x97974,x97975,x97971)),f327(f327(f309(x97971),x97974),x97973))+~P1(f327(f62(x97971,x97975,f327(f327(f309(x97971),x97974),x97973)),x97972))
% 207.23/207.89 [9878]P1(f327(f327(f329(x98781),f359(x98782,x98783,x98784,x98785,x98781)),x98784))+P1(f327(f327(f327(f41(x98781,f922(x98785,a910)),x98784),x98783),x98782))
% 207.23/207.89 [9883]P1(f327(f327(f329(x98831),f348(x98832,x98833,x98831,x98834,x98835)),x98833))+P1(f327(f327(f329(x98835),x98834),f327(f327(f41(x98831,f922(x98835,a910)),x98833),x98832)))
% 207.23/207.89 [9891]P1(f327(f327(f329(x98911),f349(x98912,x98913,x98911,x98914,x98915)),x98913))+P1(f327(f327(f234(f922(x98915,a910)),x98914),f327(f327(f41(x98911,f922(x98915,a910)),x98913),x98912)))
% 207.23/207.89 [9892]P1(f327(f327(f329(x98921),f830(x98922,x98923,x98924,x98925,x98921)),x98925))+P1(f327(f327(f234(f922(x98924,a910)),x98923),f327(f327(f41(x98921,f922(x98924,a910)),x98925),x98922)))
% 207.23/207.89 [9894]P1(f327(f327(x98941,f904(x98942,x98941,x98943,x98944,x98945)),x98942))+~P1(f327(f327(f327(f40(x98945,f922(x98944,a910)),x98943),x98941),x98942))
% 207.23/207.89 [9898]P1(f327(f327(f329(x98981),f904(x98982,x98983,x98984,x98985,x98981)),x98984))+~P1(f327(f327(f327(f40(x98981,f922(x98985,a910)),x98984),x98983),x98982))
% 207.23/207.89 [9899]P50(x98994,f327(f327(f41(x98991,f922(x98994,a910)),x98995),x98993),f327(f327(f41(x98991,f922(f921(x98994,x98994),a910)),x98995),x98992))+P1(f327(f327(f329(x98991),f770(x98992,x98993,x98994,x98995,x98991)),x98995))
% 207.23/207.89 [9900]P50(x99004,f327(f327(f40(x99001,f922(x99004,a910)),x99005),x99003),f327(f327(f40(x99001,f922(f921(x99004,x99004),a910)),x99005),x99002))+P1(f327(f327(f329(x99001),f823(x99002,x99003,x99004,x99005,x99001)),x99005))
% 207.23/207.89 [9911]P1(f327(f327(f329(x99111),f905(x99112,x99113,x99111,x99114,x99115)),x99113))+~P1(f327(f327(f329(x99115),x99114),f327(f327(f40(x99111,f922(x99115,a910)),x99113),x99112)))
% 207.23/207.89 [9917]P1(f327(f327(f329(x99171),x99172),f327(x99173,f905(x99173,x99174,x99175,x99172,x99171))))+~P1(f327(f327(f329(x99171),x99172),f327(f327(f40(x99175,f922(x99171,a910)),x99174),x99173)))
% 207.23/207.89 [9999]~P1(f327(f327(x99994,f359(x99995,x99994,x99993,x99992,x99991)),x99995))+P1(f327(f327(f327(f41(x99991,f922(x99992,a910)),x99993),x99994),x99995))
% 207.23/207.89 [10002]~P1(f327(f327(f329(x100021),x100022),f327(x100025,f348(x100025,x100024,x100023,x100022,x100021))))+P1(f327(f327(f329(x100021),x100022),f327(f327(f41(x100023,f922(x100021,a910)),x100024),x100025)))
% 207.23/207.89 [10006]~P50(x100061,f327(x100064,f823(x100065,x100064,x100061,x100063,x100062)),f327(x100065,f823(x100065,x100064,x100061,x100063,x100062)))+P50(x100061,f327(f327(f40(x100062,f922(x100061,a910)),x100063),x100064),f327(f327(f40(x100062,f922(f921(x100061,x100061),a910)),x100063),x100065))
% 207.23/207.89 [10007]~P50(x100071,f327(x100074,f770(x100075,x100074,x100071,x100073,x100072)),f327(x100075,f770(x100075,x100074,x100071,x100073,x100072)))+P50(x100071,f327(f327(f41(x100072,f922(x100071,a910)),x100073),x100074),f327(f327(f41(x100072,f922(f921(x100071,x100071),a910)),x100073),x100075))
% 207.23/207.89 [10008]~P1(f327(f327(f234(f922(x100081,a910)),x100082),f327(x100085,f349(x100085,x100084,x100083,x100082,x100081))))+P1(f327(f327(f234(f922(x100081,a910)),x100082),f327(f327(f41(x100083,f922(x100081,a910)),x100084),x100085)))
% 207.23/207.89 [10009]~P1(f327(f327(f234(f922(x100091,a910)),x100092),f327(x100095,f830(x100095,x100092,x100091,x100094,x100093))))+P1(f327(f327(f234(f922(x100091,a910)),x100092),f327(f327(f41(x100093,f922(x100091,a910)),x100094),x100095)))
% 207.23/207.89 [10074]~P1(f327(f327(f329(x100741),f561(x100745,x100744,x100743,x100742,x100741)),f579(x100745,x100744,x100743,x100742,x100741)))+~P1(f327(f62(x100741,x100742,f327(f327(f309(x100741),x100743),x100744)),x100745))
% 207.23/207.89 [10075]~P1(f327(f327(f329(x100751),f589(x100755,x100754,x100753,x100752,x100751)),f598(x100755,x100754,x100753,x100752,x100751)))+~P1(f327(f62(x100751,x100752,f327(f327(f309(x100751),x100753),x100754)),x100755))
% 207.23/207.89 [10076]~P1(f327(f327(f329(f921(x100761,x100761)),f327(f327(f252(x100761,x100761),x100762),x100765)),f327(f327(f184(f921(x100761,x100761),a910),f327(a113,x100764)),x100763)))+P1(f327(f327(f329(f921(x100761,x100761)),f327(f327(f252(x100761,x100761),x100762),f625(x100763,x100764,x100765,x100762,x100761))),f327(f327(f184(f921(x100761,x100761),a910),x100764),x100763)))
% 207.23/207.89 [10082]P1(f327(f66(x100821,x100821,x100822,f561(x100823,x100824,x100825,x100822,x100821),f579(x100823,x100824,x100825,x100822,x100821)),x100823))+~P1(f327(f62(x100821,x100822,f327(f327(f309(x100821),x100825),x100824)),x100823))
% 207.23/207.89 [10083]P1(f327(f66(x100831,x100831,x100832,f589(x100833,x100834,x100835,x100832,x100831),f598(x100833,x100834,x100835,x100832,x100831)),x100833))+~P1(f327(f62(x100831,x100832,f327(f327(f309(x100831),x100835),x100834)),x100833))
% 207.23/207.89 [10094]~P108(x100941)+P11(x100941,f327(f327(f155(x100942,x100941),x100943),f327(f137(x100942,f327(f327(f7(x100942,x100941,a910),f327(f327(f8(x100941,f922(x100941,a910),x100942),a324),x100943)),f327(x100944,x100945))),x100945)))
% 207.23/207.89 [10144]~P1(f327(f327(f329(x101442),x101445),f327(f285(x101441,x101442,x101444),x101443)))+P1(f327(f327(f329(f921(x101441,x101442)),f327(f327(f252(x101441,x101442),f509(x101443,x101444,x101441,x101445,x101442)),x101445)),x101444))
% 207.23/207.89 [10145]~P1(f327(f327(f329(x101452),x101455),f327(f285(x101451,x101452,x101454),x101453)))+P1(f327(f327(f329(f921(x101451,x101452)),f327(f327(f252(x101451,x101452),f533(x101453,x101454,x101451,x101455,x101452)),x101455)),x101454))
% 207.23/207.89 [10165]~P1(f327(f327(f329(f921(x101651,x101651)),f327(f327(f252(x101651,x101651),x101655),x101654)),f327(f327(f184(f921(x101651,x101651),a910),f327(a113,x101653)),x101652)))+P1(f327(f327(f329(f921(x101651,x101651)),f327(f327(f252(x101651,x101651),f625(x101652,x101653,x101654,x101655,x101651)),x101654)),x101652))
% 207.23/207.89 [10168]~P1(f327(f327(f329(f921(x101681,x101681)),f327(f327(f252(x101681,x101681),x101685),x101684)),f327(f327(f184(f921(x101681,x101681),a910),f327(a113,x101683)),x101682)))+P1(f327(f327(f329(f921(x101681,x101681)),f327(f327(f252(x101681,x101681),f623(x101682,x101683,x101684,x101685,x101681)),x101684)),f327(f327(f184(f921(x101681,x101681),a910),x101683),x101682)))
% 207.23/207.89 [10169]~P1(f327(f327(f329(f921(x101691,x101691)),f327(f327(f252(x101691,x101691),x101695),x101694)),f327(f327(f184(f921(x101691,x101691),a910),f327(a113,x101693)),x101692)))+P1(f327(f327(f329(f921(x101691,x101691)),f327(f327(f252(x101691,x101691),f624(x101692,x101693,x101694,x101695,x101691)),x101694)),f327(f327(f184(f921(x101691,x101691),a910),x101693),x101692)))
% 207.23/207.89 [10170]~P1(f327(f327(f329(f921(f916(x101701),f916(x101701))),f327(f327(f252(f916(x101701),f916(x101701)),x101705),f327(f327(f152(x101701),x101704),x101703))),f159(x101701,x101702)))+P1(f327(f327(f329(f921(x101701,x101701)),f327(f327(f252(x101701,x101701),f647(x101702,x101703,x101704,x101705,x101701)),x101704)),x101702))
% 207.23/207.89 [7758]~E(x77583,f190(f922(x77582,a910)))+E(f327(f327(f102(f922(x77581,a910)),f327(f327(f40(x77582,f922(x77581,a910)),x77583),x77584)),x77585),x77585)
% 207.23/207.89 [7759]~E(x77593,f190(f922(x77592,a910)))+E(f327(f327(f103(f922(x77591,a910)),f327(f327(f41(x77592,f922(x77591,a910)),x77593),x77594)),x77595),x77595)
% 207.23/207.89 [8183]~E(x81833,f190(f922(x81832,a910)))+E(f327(f327(f23(f922(x81831,a910)),f327(f327(f41(x81832,f922(x81831,a910)),x81833),x81834)),x81835),f327(f327(f23(f922(x81831,a910)),f242(f922(x81831,a910))),x81835))
% 207.23/207.89 [8316]E(f327(f327(f160(x83161,f327(f327(f135(x83161),x83162),x83163)),x83164),x83165),f327(f327(f135(x83161),f327(f327(f160(x83161,x83162),x83164),x83165)),x83163))+~P1(f327(f327(f235(a915),x83164),f327(f191(f916(x83161)),x83162)))
% 207.23/207.89 [8585]E(f327(f327(f165(x85851),f327(f327(f155(a915,x85851),x85852),f140(a915,f327(f302(a915,x85853),x85854)))),x85855),f327(x85852,f327(f327(f80(a915),x85853),x85855)))+~P1(f327(f327(f235(a915),x85855),f327(f327(f23(a915),x85854),x85853)))
% 207.23/207.89 [8599]E(x85991,f2(a100))+E(f123(x85992,x85993,f327(x85994,f327(f327(f23(a100),x85991),f78(a100))),f327(f327(f7(x85992,a100,f917(f918(x85993))),x85995),x85991)),f327(f198(x85992,x85993,x85994,x85995),x85991))
% 207.23/207.89 [8623]~E(x86233,f190(f922(x86231,a910)))+E(f327(f327(f40(x86231,f922(x86232,a910)),x86233),f327(f327(f8(f922(x86232,a910),f922(x86232,a910),x86231),f327(f102(f922(x86232,a910)),x86234)),x86235)),f190(f922(x86232,a910)))
% 207.23/207.89 [8624]~E(x86243,f190(f922(x86241,a910)))+E(f327(f327(f41(x86241,f922(x86242,a910)),x86243),f327(f327(f8(f922(x86242,a910),f922(x86242,a910),x86241),f327(f23(f922(x86242,a910)),x86244)),x86245)),f242(f922(x86242,a910)))
% 207.23/207.89 [8625]~E(x86253,f190(f922(x86251,a910)))+E(f327(f327(f41(x86251,f922(x86252,a910)),x86253),f327(f327(f8(f922(x86252,a910),f922(x86252,a910),x86251),f327(f103(f922(x86252,a910)),x86254)),x86255)),f242(f922(x86252,a910)))
% 207.23/207.89 [8627]~P139(x86272)+E(f327(f327(f6(x86271,x86272),f327(f327(f8(x86272,x86272,x86271),f327(f81(x86272),x86273)),x86274)),x86275),f327(f327(f81(x86272),x86273),f327(f327(f6(x86271,x86272),x86274),x86275)))
% 207.23/207.89 [8918]E(x89181,f190(f922(x89182,a910)))+E(f327(f327(f40(x89182,f922(x89183,a910)),x89181),f327(f327(f8(f922(x89183,a910),f922(x89183,a910),x89182),f327(f102(f922(x89183,a910)),x89184)),x89185)),f327(f327(f102(f922(x89183,a910)),x89184),f327(f327(f40(x89182,f922(x89183,a910)),x89181),x89185)))
% 207.23/207.89 [8919]E(x89191,f190(f922(x89192,a910)))+E(f327(f327(f41(x89192,f922(x89193,a910)),x89191),f327(f327(f8(f922(x89193,a910),f922(x89193,a910),x89192),f327(f23(f922(x89193,a910)),x89194)),x89195)),f327(f327(f23(f922(x89193,a910)),x89194),f327(f327(f40(x89192,f922(x89193,a910)),x89191),x89195)))
% 207.23/207.89 [8920]E(x89201,f190(f922(x89202,a910)))+E(f327(f327(f41(x89202,f922(x89203,a910)),x89201),f327(f327(f8(f922(x89203,a910),f922(x89203,a910),x89202),f327(f103(f922(x89203,a910)),x89204)),x89205)),f327(f327(f103(f922(x89203,a910)),x89204),f327(f327(f41(x89202,f922(x89203,a910)),x89201),x89205)))
% 207.23/207.89 [9123]~P1(f327(f327(f235(a915),f327(x91234,x91232)),f327(x91234,x91233)))+P1(f327(f327(f329(f921(x91231,x91231)),f327(f327(f252(x91231,x91231),x91232),x91233)),f154(x91231,f327(f327(f152(f922(x91231,a915)),x91234),x91235))))
% 207.23/207.89 [9387]~P23(x93872,x93871,x93873,f327(f327(f102(f922(x93872,a910)),x93874),x93875))+E(f327(f327(f103(f922(x93871,a910)),f327(f310(x93872,x93871,x93873),f327(f327(f23(f922(x93872,a910)),x93874),x93875))),f327(f310(x93872,x93871,x93873),f327(f327(f23(f922(x93872,a910)),x93875),x93874))),f190(f922(x93871,a910)))
% 207.23/207.89 [9640]~P23(x96403,x96401,x96405,f242(f922(x96403,a910)))+E(f327(f72(x96401,x96402,x96403,f327(f72(x96403,x96402,x96401,x96404),f92(x96403,x96401,f242(f922(x96403,a910)),x96405))),x96405),x96404)
% 207.23/207.89 [9671]~P1(f327(f327(f234(f922(x96713,a910)),f327(f285(x96711,x96713,x96714),x96712)),x96715))+P1(f327(f327(f234(f922(x96711,a910)),x96712),f327(f79(f922(x96711,a910)),f327(f285(x96713,x96711,f327(f286(x96711,x96713),x96714)),f327(f79(f922(x96713,a910)),x96715)))))
% 207.23/207.89 [9696]~P23(x96961,x96962,x96963,f327(f327(f309(x96961),x96964),x96965))+~P1(f327(f327(f329(x96962),f327(x96963,x96964)),f327(f310(x96961,x96962,x96963),f327(f327(f23(f922(x96961,a910)),x96965),f327(f327(f309(x96961),x96964),f190(f922(x96961,a910)))))))
% 207.23/207.89 [9750]P1(f327(f327(f234(f922(x97501,a910)),f327(f285(x97502,x97501,x97503),x97504)),x97505))+~P1(f327(f327(f234(f922(x97502,a910)),x97504),f327(f79(f922(x97502,a910)),f327(f285(x97501,x97502,f327(f286(x97502,x97501),x97503)),f327(f79(f922(x97501,a910)),x97505)))))
% 207.23/207.89 [9823]~P84(x98231)+P1(f327(f327(f234(x98231),f327(f75(x98231),f327(f327(f23(x98231),f327(f327(f80(x98231),x98232),x98233)),f327(f327(f80(x98231),x98234),x98235)))),f327(f327(f80(x98231),f327(f75(x98231),f327(f327(f23(x98231),x98232),x98234))),f327(f75(x98231),f327(f327(f23(x98231),x98233),x98235)))))
% 207.23/207.89 [9932]P1(f327(f327(f329(x99321),f346(x99322,x99323,x99324,x99321,x99325)),x99324))+P1(f327(f327(f234(f922(x99325,a910)),f327(f327(f40(x99321,f922(x99325,a910)),x99324),x99323)),x99322))
% 207.23/207.89 [10112]~P1(f327(f327(f234(f922(x101121,a910)),f327(x101124,f346(x101125,x101124,x101123,x101122,x101121))),x101125))+P1(f327(f327(f234(f922(x101121,a910)),f327(f327(f40(x101122,f922(x101121,a910)),x101123),x101124)),x101125))
% 207.23/207.89 [8732]E(f327(f327(f135(x87321),x87322),f327(f327(f160(x87321,x87323),f327(f327(f23(a915),x87324),f327(f191(f916(x87321)),x87322))),x87325)),f327(f327(f160(x87321,f327(f327(f135(x87321),x87322),x87323)),x87324),x87325))+P1(f327(f327(f235(a915),x87324),f327(f191(f916(x87321)),x87322)))
% 207.23/207.89 [8760]~P140(x87601)+E(f327(f327(f80(x87601),f327(f327(f81(x87601),x87602),x87603)),f327(f327(f80(x87601),f327(f327(f81(x87601),x87604),x87603)),x87605)),f327(f327(f80(x87601),f327(f327(f81(x87601),f327(f327(f80(x87601),x87602),x87604)),x87603)),x87605))
% 207.23/207.89 [9341]~P139(x93411)+E(f327(f166(x93411),f327(f327(f155(x93412,x93411),f327(f327(f8(x93411,x93411,x93412),f327(f81(x93411),x93413)),x93414)),x93415)),f327(f327(f81(x93411),x93413),f327(f166(x93411),f327(f327(f155(x93412,x93411),x93414),x93415))))
% 207.23/207.89 [9513]E(f327(f191(f916(x95131)),f327(f327(f176(x95131),f327(f327(f238(a915),f327(f191(f916(x95131)),x95132)),f327(f191(f916(x95133)),x95134))),x95132)),f327(f191(f916(x95133)),f327(f327(f176(x95133),f327(f327(f238(a915),f327(f191(f916(x95131)),x95132)),f327(f191(f916(x95133)),x95134))),x95134)))+P1(f327(x95135,f327(f327(f182(x95131,x95133),x95132),x95134)))
% 207.23/207.89 [9760]~P139(x97602)+E(f327(f327(f6(x97601,x97602),f327(f327(f7(x97601,x97602,x97602),f327(f327(f8(x97602,f922(x97602,x97602),x97601),f81(x97602)),x97603)),x97604)),x97605),f327(f327(f81(x97602),f327(f327(f6(x97601,x97602),x97603),x97605)),x97604))
% 207.23/207.89 [9761]~P62(x97612)+E(f327(f327(f6(x97611,x97612),f327(f327(f7(x97611,x97612,x97612),f327(f327(f8(x97612,f922(x97612,x97612),x97611),f291(x97612)),x97613)),x97614)),x97615),f327(f327(f291(x97612),f327(f327(f6(x97611,x97612),x97613),x97615)),x97614))
% 207.23/207.89 [9768]~P67(x97682)+E(f327(f327(f6(x97681,x97682),f327(f327(f18(x97681,x97682,x97682),f327(f327(f8(x97682,f922(x97682,x97682),x97681),f23(x97682)),x97683)),x97684)),x97685),f327(f327(f23(x97682),f327(f327(f6(x97681,x97682),x97683),x97685)),f327(f327(f6(x97681,x97682),x97684),x97685)))
% 207.23/207.89 [9769]~P68(x97692)+E(f327(f327(f6(x97691,x97692),f327(f327(f18(x97691,x97692,x97692),f327(f327(f8(x97692,f922(x97692,x97692),x97691),f80(x97692)),x97693)),x97694)),x97695),f327(f327(f80(x97692),f327(f327(f6(x97691,x97692),x97693),x97695)),f327(f327(f6(x97691,x97692),x97694),x97695)))
% 207.23/207.89 [9770]~P75(x97702)+E(f327(f327(f9(x97701,x97702),f327(f327(f18(x97701,x97702,x97702),f327(f327(f8(x97702,f922(x97702,x97702),x97701),f81(x97702)),x97703)),x97704)),x97705),f327(f327(f81(x97702),f327(f327(f9(x97701,x97702),x97703),x97705)),f327(f327(f9(x97701,x97702),x97704),x97705)))
% 207.23/207.89 [9808]~E(x98083,f190(f922(x98081,a910)))+E(f327(f327(f40(x98081,f922(x98082,a910)),x98083),f327(f327(f7(x98081,f922(x98082,a910),f922(x98082,a910)),f327(f327(f8(f922(x98082,a910),f922(f922(x98082,a910),f922(x98082,a910)),x98081),f102(f922(x98082,a910))),x98084)),x98085)),f190(f922(x98082,a910)))
% 207.23/207.89 [9809]~E(x98093,f190(f922(x98091,a910)))+E(f327(f327(f41(x98091,f922(x98092,a910)),x98093),f327(f327(f7(x98091,f922(x98092,a910),f922(x98092,a910)),f327(f327(f8(f922(x98092,a910),f922(f922(x98092,a910),f922(x98092,a910)),x98091),f23(f922(x98092,a910))),x98094)),x98095)),f242(f922(x98092,a910)))
% 207.23/207.89 [9810]~E(x98103,f190(f922(x98101,a910)))+E(f327(f327(f41(x98101,f922(x98102,a910)),x98103),f327(f327(f7(x98101,f922(x98102,a910),f922(x98102,a910)),f327(f327(f8(f922(x98102,a910),f922(f922(x98102,a910),f922(x98102,a910)),x98101),f103(f922(x98102,a910))),x98104)),x98105)),f242(f922(x98102,a910)))
% 207.23/207.89 [9831]E(x98311,f190(f922(x98312,a910)))+E(f327(f327(f40(x98312,f922(x98313,a910)),x98311),f327(f327(f7(x98312,f922(x98313,a910),f922(x98313,a910)),f327(f327(f8(f922(x98313,a910),f922(f922(x98313,a910),f922(x98313,a910)),x98312),f102(f922(x98313,a910))),x98314)),x98315)),f327(f327(f102(f922(x98313,a910)),f327(f327(f40(x98312,f922(x98313,a910)),x98311),x98314)),x98315))
% 207.23/207.89 [9832]E(x98321,f190(f922(x98322,a910)))+E(f327(f327(f41(x98322,f922(x98323,a910)),x98321),f327(f327(f7(x98322,f922(x98323,a910),f922(x98323,a910)),f327(f327(f8(f922(x98323,a910),f922(f922(x98323,a910),f922(x98323,a910)),x98322),f23(f922(x98323,a910))),x98324)),x98325)),f327(f327(f23(f922(x98323,a910)),f327(f327(f41(x98322,f922(x98323,a910)),x98321),x98324)),x98325))
% 207.23/207.89 [9833]E(x98331,f190(f922(x98332,a910)))+E(f327(f327(f41(x98332,f922(x98333,a910)),x98331),f327(f327(f7(x98332,f922(x98333,a910),f922(x98333,a910)),f327(f327(f8(f922(x98333,a910),f922(f922(x98333,a910),f922(x98333,a910)),x98332),f103(f922(x98333,a910))),x98334)),x98335)),f327(f327(f103(f922(x98333,a910)),f327(f327(f41(x98332,f922(x98333,a910)),x98331),x98334)),x98335))
% 207.23/207.89 [9392]~P1(f327(f327(f234(a915),x93921),x93924))+E(f327(f327(f23(a915),f327(f327(f80(a915),f327(f327(f81(a915),x93921),x93922)),x93923)),f327(f327(f80(a915),f327(f327(f81(a915),x93924),x93922)),x93925)),f327(f327(f23(a915),x93923),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x93924),x93921)),x93922)),x93925)))
% 207.23/207.89 [9981]~P139(x99811)+E(f327(f166(x99811),f327(f327(f155(x99812,x99811),f327(f327(f7(x99812,x99811,x99811),f327(f327(f8(x99811,f922(x99811,x99811),x99812),f81(x99811)),x99813)),x99814)),x99815)),f327(f327(f81(x99811),f327(f166(x99811),f327(f327(f155(x99812,x99811),x99813),x99815))),x99814))
% 207.23/207.89 [9987]~P67(x99871)+E(f327(f166(x99871),f327(f327(f155(x99872,x99871),f327(f327(f18(x99872,x99871,x99871),f327(f327(f8(x99871,f922(x99871,x99871),x99872),f23(x99871)),x99873)),x99874)),x99875)),f327(f327(f23(x99871),f327(f166(x99871),f327(f327(f155(x99872,x99871),x99873),x99875))),f327(f166(x99871),f327(f327(f155(x99872,x99871),x99874),x99875))))
% 207.23/207.89 [9988]~P68(x99881)+E(f327(f166(x99881),f327(f327(f155(x99882,x99881),f327(f327(f18(x99882,x99881,x99881),f327(f327(f8(x99881,f922(x99881,x99881),x99882),f80(x99881)),x99883)),x99884)),x99885)),f327(f327(f80(x99881),f327(f166(x99881),f327(f327(f155(x99882,x99881),x99883),x99885))),f327(f166(x99881),f327(f327(f155(x99882,x99881),x99884),x99885))))
% 207.23/207.89 [10136]P1(f327(x101361,f327(f327(f182(x101362,x101363),x101364),x101365)))+~P1(f327(x101361,f327(f327(f182(x101362,x101363),f327(f327(f176(x101362),f327(f327(f238(a915),f327(f191(f916(x101362)),x101364)),f327(f191(f916(x101363)),x101365))),x101364)),f327(f327(f176(x101363),f327(f327(f238(a915),f327(f191(f916(x101362)),x101364)),f327(f191(f916(x101363)),x101365))),x101365))))
% 207.23/207.89 [10399]~P1(f327(f327(f329(f921(x103992,x103991)),f327(f327(f252(x103992,x103991),x103994),x103995)),f327(f286(x103991,x103992),x103993)))+P1(f327(f327(f243(x103991,x103992,f327(f327(f7(x103991,f922(f921(x103991,x103992),a910),f922(x103992,a910)),f327(f327(f8(f922(x103992,f922(f922(f921(x103991,x103992),a910),a910)),f922(f922(f921(x103991,x103992),a910),f922(x103992,a910)),x103991),f7(x103992,f922(f921(x103991,x103992),a910),a910)),f327(f327(f8(f922(x103992,f921(x103991,x103992)),f922(x103992,f922(f922(f921(x103991,x103992),a910),a910)),x103991),f327(f8(f921(x103991,x103992),f922(f922(f921(x103991,x103992),a910),a910),x103992),f329(f921(x103991,x103992)))),f252(x103991,x103992)))),x103993)),x103994),x103995))
% 207.23/207.89 [10409]P1(f327(f327(f329(f921(x104091,x104092)),f327(f327(f252(x104091,x104092),x104093),x104094)),f327(f286(x104092,x104091),x104095)))+~P1(f327(f327(f243(x104092,x104091,f327(f327(f7(x104092,f922(f921(x104092,x104091),a910),f922(x104091,a910)),f327(f327(f8(f922(x104091,f922(f922(f921(x104092,x104091),a910),a910)),f922(f922(f921(x104092,x104091),a910),f922(x104091,a910)),x104092),f7(x104091,f922(f921(x104092,x104091),a910),a910)),f327(f327(f8(f922(x104091,f921(x104092,x104091)),f922(x104091,f922(f922(f921(x104092,x104091),a910),a910)),x104092),f327(f8(f921(x104092,x104091),f922(f922(f921(x104092,x104091),a910),a910),x104091),f329(f921(x104092,x104091)))),f252(x104092,x104091)))),x104095)),x104093),x104094))
% 207.23/207.89 [9639]~P1(f327(f327(f234(a915),x96394),x96391))+E(f327(f327(f23(a915),f327(f327(f80(a915),f327(f327(f81(a915),x96391),x96392)),x96393)),f327(f327(f80(a915),f327(f327(f81(a915),x96394),x96392)),x96395)),f327(f327(f23(a915),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x96391),x96394)),x96392)),x96393)),x96395))
% 207.23/207.89 [5424]E(x54241,x54242)+~E(f27(x54243,x54244,x54241),f27(x54245,x54246,x54242))
% 207.23/207.89 [5425]E(x54251,x54252)+~E(f27(x54253,x54251,x54254),f27(x54255,x54252,x54256))
% 207.23/207.89 [5426]E(x54261,x54262)+~E(f27(x54261,x54263,x54264),f27(x54262,x54265,x54266))
% 207.23/207.89 [5427]E(x54271,x54272)+~E(f26(x54273,x54274,x54271),f26(x54275,x54276,x54272))
% 207.23/207.89 [5428]E(x54281,x54282)+~E(f26(x54283,x54281,x54284),f26(x54285,x54282,x54286))
% 207.23/207.89 [5429]E(x54291,x54292)+~E(f26(x54291,x54293,x54294),f26(x54292,x54295,x54296))
% 207.23/207.89 [7455]E(x74551,x74552)+~E(f222(x74553,x74554,x74555,x74551),f222(x74553,x74554,x74556,x74552))
% 207.23/207.89 [7456]E(x74561,x74562)+~E(f222(x74563,x74564,x74561,x74565),f222(x74563,x74564,x74562,x74566))
% 207.23/207.89 [8569]~P17(x85695,x85691,x85692,x85696)+E(f327(f72(x85691,x85691,x85691,f327(x85692,x85693)),f327(x85692,x85694)),f327(f72(x85691,x85691,x85691,f327(x85692,x85694)),f327(x85692,x85693)))
% 207.23/207.89 [8804]~P54(x88044,x88045,x88042,x88041,x88046)+E(f327(x88041,f327(x88042,x88043)),x88043)
% 207.23/207.89 [8971]P23(x89711,x89712,x89713,x89714)+~P23(x89711,x89715,f327(f72(x89712,x89715,x89711,x89716),x89713),x89714)
% 207.23/207.89 [9044]~E(x90446,x90444)+E(f327(f74(x90441,x90442,x90443,x90444,x90445),x90446),x90445)
% 207.23/207.89 [9050]E(x90501,x90502)+E(f327(f74(x90503,x90504,x90505,x90502,x90506),x90501),f327(x90505,x90501))
% 207.23/207.89 [9062]~P23(x90624,x90622,f327(f72(x90621,x90622,x90624,x90623),x90625),x90626)+P23(x90621,x90622,x90623,f327(f310(x90624,x90621,x90625),x90626))
% 207.23/207.89 [9771]P1(f327(f35(x97711),x97712))+~P1(f327(f66(x97711,x97713,x97714,x97715,x97712),x97716))
% 207.23/207.89 [9780]~P1(f327(f327(f329(x97804),x97803),f297(x97804,x97801,x97805,x97802,x97806)))+P1(f327(f327(x97801,x97802),x97803))
% 207.23/207.89 [9781]~P1(f327(f327(f329(x97814),x97813),f300(x97814,x97815,x97811,x97812,x97816)))+P1(f327(f327(x97811,x97812),x97813))
% 207.23/207.89 [9782]~P1(f327(f327(f329(x97824),x97822),f297(x97824,x97825,x97821,x97826,x97823)))+P1(f327(f327(x97821,x97822),x97823))
% 207.23/207.89 [9783]~P1(f327(f327(f329(x97834),x97832),f300(x97834,x97831,x97835,x97836,x97833)))+P1(f327(f327(x97831,x97832),x97833))
% 207.23/207.89 [10290]P10(x102901,x102902,x102903,x102904,x102905,x102906)+~E(f327(f327(x102906,f844(x102903,x102906,x102905,x102902,x102904,x102901)),f847(x102903,x102906,x102905,x102902,x102904,x102901)),f327(f327(x102906,f845(x102903,x102906,x102905,x102902,x102904,x102901)),f848(x102903,x102906,x102905,x102902,x102904,x102901)))
% 207.23/207.89 [5939]E(x59391,x59392)+~E(f327(f327(f252(x59393,x59394),x59395),x59391),f327(f327(f252(x59393,x59394),x59396),x59392))
% 207.23/207.89 [5941]E(x59411,x59412)+~E(f327(f327(f252(x59413,x59414),x59411),x59415),f327(f327(f252(x59413,x59414),x59412),x59416))
% 207.23/207.89 [6077]~P14(x60775,x60776,x60771)+E(f327(f327(x60771,x60772),f327(f327(x60771,x60773),x60774)),f327(f327(x60771,x60773),f327(f327(x60771,x60772),x60774)))
% 207.23/207.89 [7521]~P30(x75214,x75211,f327(f327(f152(x75214),x75212),x75215),f327(f327(f152(x75214),x75213),x75216))+P1(f327(f327(x75211,x75212),x75213))
% 207.23/207.89 [7875]P30(x78751,x78752,x78753,x78754)+~P30(x78751,x78752,f327(f327(f152(x78751),x78755),x78753),f327(f327(f152(x78751),x78756),x78754))
% 207.23/207.89 [8908]~P54(x89085,x89081,x89082,x89086,x89084)+P1(f327(f327(f329(x89081),f327(x89082,x89083)),x89084))
% 207.23/207.89 [9090]E(f327(f76(x90901,x90902,x90903,x90904,x90905),x90906),f327(x90903,x90906))+P1(f327(f327(f329(x90901),x90906),x90905))
% 207.23/207.89 [9112]~E(x91123,f327(f327(f152(x91121),x91125),x91126))+P1(f327(f327(f329(f921(f916(x91121),f916(x91121))),f327(f327(f252(f916(x91121),f916(x91121)),x91122),f327(f327(f135(x91121),x91122),x91123))),f148(x91121,x91124)))
% 207.23/207.89 [9117]E(f327(f76(x91171,x91172,x91173,x91174,x91175),x91176),f327(x91174,x91176))+~P1(f327(f327(f329(x91171),x91176),x91175))
% 207.23/207.89 [9347]~P32(x93471,x93472,x93473,x93475,x93476)+P32(x93471,x93472,x93473,f327(f327(f176(x93471),x93474),x93475),f327(f327(f176(x93472),x93474),x93476))
% 207.23/207.89 [9348]~P32(x93481,x93482,x93483,x93485,x93486)+P32(x93481,x93482,x93483,f327(f327(f139(x93481),x93484),x93485),f327(f327(f139(x93482),x93484),x93486))
% 207.23/207.89 [9606]E(f327(f310(x96061,x96062,f74(x96061,x96062,x96063,x96064,x96065)),x96066),f327(f310(x96061,x96062,x96063),x96066))+P1(f327(f327(f329(x96061),x96064),x96066))
% 207.23/207.89 [9609]E(f327(f327(f155(x96091,x96092),f74(x96091,x96092,x96093,x96094,x96095)),x96096),f327(f327(f155(x96091,x96092),x96093),x96096))+P1(f327(f327(f329(x96091),x96094),f327(f173(x96091),x96096)))
% 207.23/207.89 [9843]~P21(x98434,x98432,x98435,x98433,x98436,x98431)+E(f327(x98431,f190(f922(x98432,a910))),x98433)
% 207.23/207.89 [10077]~E(f327(x100774,f327(f251(x100771,x100773),x100775)),f327(x100776,f327(f251(x100771,x100773),x100775)))+E(f327(f258(x100771,x100772,x100773,x100773,x100774,f31(x100773)),x100775),f327(f258(x100771,x100772,x100773,x100773,x100776,f31(x100773)),x100775))
% 207.23/207.89 [10078]~E(f327(x100784,f327(f256(x100781,x100782),x100785)),f327(x100786,f327(f256(x100781,x100782),x100785)))+E(f327(f258(x100781,x100781,x100782,x100783,f31(x100781),x100784),x100785),f327(f258(x100781,x100781,x100782,x100783,f31(x100781),x100786),x100785))
% 207.23/207.89 [10132]~E(f327(f258(x101322,x101326,x101323,x101323,x101321,f31(x101323)),x101324),f327(f258(x101322,x101326,x101323,x101323,x101325,f31(x101323)),x101324))+E(f327(x101321,f327(f251(x101322,x101323),x101324)),f327(x101325,f327(f251(x101322,x101323),x101324)))
% 207.23/207.89 [10133]~E(f327(f258(x101332,x101332,x101333,x101336,f31(x101332),x101331),x101334),f327(f258(x101332,x101332,x101333,x101336,f31(x101332),x101335),x101334))+E(f327(x101331,f327(f256(x101332,x101333),x101334)),f327(x101335,f327(f256(x101332,x101333),x101334)))
% 207.23/207.89 [9011]P1(f327(f327(f329(x90111),x90112),x90113))+~P1(f327(f327(f329(f921(x90111,x90114)),f327(f327(f252(x90111,x90114),x90112),x90115)),f327(f327(f254(x90111,x90114),x90113),x90116)))
% 207.23/207.89 [9027]P1(f327(f327(f329(x90271),x90272),f327(x90273,x90274)))+~P1(f327(f327(f329(f921(x90275,x90271)),f327(f327(f252(x90275,x90271),x90274),x90272)),f327(f327(f254(x90275,x90271),x90276),x90273)))
% 207.23/207.89 [9463]P1(f327(f327(f329(f921(x94631,x94631)),f327(f327(f252(x94631,x94631),f327(x94632,x94633)),f327(x94632,x94634))),x94635))+~P1(f327(f327(f329(f921(x94636,x94636)),f327(f327(f252(x94636,x94636),x94633),x94634)),f327(f327(f288(x94631,x94636),x94635),x94632)))
% 207.23/207.89 [9483]~P1(f327(f327(f329(f921(x94834,x94834)),f327(f327(f252(x94834,x94834),f327(x94836,x94832)),f327(x94836,x94833))),x94835))+P1(f327(f327(f329(f921(x94831,x94831)),f327(f327(f252(x94831,x94831),x94832),x94833)),f327(f327(f288(x94834,x94831),x94835),x94836)))
% 207.23/207.89 [10135]E(f327(f327(f252(x101351,x101352),f638(x101353,x101354,x101355,x101356,x101352,x101351)),f639(x101353,x101354,x101355,x101356,x101352,x101351)),x101356)+~P1(f327(f327(f329(f921(x101351,x101352)),x101356),f327(f327(f289(x101351,x101355,x101352),x101354),x101353)))
% 207.23/207.89 [10355]~P1(f327(f327(f329(f921(x103551,x103556)),x103555),f327(f327(f289(x103551,x103552,x103556),x103554),x103553)))+P1(f327(f327(f329(f921(x103551,x103552)),f327(f327(f252(x103551,x103552),f638(x103553,x103554,x103552,x103555,x103556,x103551)),f640(x103553,x103554,x103552,x103555,x103556,x103551))),x103554))
% 207.23/207.89 [10356]~P1(f327(f327(f329(f921(x103566,x103562)),x103565),f327(f327(f289(x103566,x103561,x103562),x103564),x103563)))+P1(f327(f327(f329(f921(x103561,x103562)),f327(f327(f252(x103561,x103562),f640(x103563,x103564,x103561,x103565,x103562,x103566)),f639(x103563,x103564,x103561,x103565,x103562,x103566))),x103563))
% 207.23/207.89 [10357]P10(x103571,x103572,x103573,x103574,x103575,x103576)+P1(f327(f327(f329(f921(x103572,x103572)),f327(f327(f252(x103572,x103572),f848(x103573,x103576,x103575,x103572,x103574,x103571)),f847(x103573,x103576,x103575,x103572,x103574,x103571))),x103575))
% 207.23/207.89 [10358]P10(x103581,x103582,x103583,x103584,x103585,x103586)+P1(f327(f327(f329(f921(x103581,x103581)),f327(f327(f252(x103581,x103581),f845(x103583,x103586,x103585,x103582,x103584,x103581)),f844(x103583,x103586,x103585,x103582,x103584,x103581))),x103584))
% 207.23/207.89 [7945]~P3(x79452)+E(f327(f327(f40(x79451,x79452),x79453),f327(f327(f7(x79451,x79454,x79452),x79455),x79456)),f327(f327(f327(f40(x79451,f922(x79454,x79452)),x79453),x79455),x79456))
% 207.23/207.89 [7946]~P3(x79462)+E(f327(f327(f41(x79461,x79462),x79463),f327(f327(f7(x79461,x79464,x79462),x79465),x79466)),f327(f327(f327(f41(x79461,f922(x79464,x79462)),x79463),x79465),x79466))
% 207.23/207.89 [8714]E(f327(f327(f40(x87141,f922(x87142,a910)),x87143),f327(f327(f8(f922(x87142,a910),f922(x87142,a910),x87141),f327(f309(x87142),x87144)),x87145)),f327(f327(f309(x87142),x87144),f327(f327(f40(x87141,f922(x87142,a910)),x87143),x87145)))+~P1(f327(f327(f329(x87141),x87146),x87143))
% 207.23/207.89 [9167]~P3(x91672)+E(f327(f327(f40(x91671,x91672),x91673),f327(f327(f8(f922(x91674,x91672),x91672,x91671),f327(f40(x91674,x91672),x91675)),f327(f7(x91674,x91671,x91672),x91676))),f327(f327(f40(x91674,x91672),x91675),f327(f327(f8(f922(x91671,x91672),x91672,x91674),f327(f40(x91671,x91672),x91673)),x91676)))
% 207.23/207.89 [9168]~P3(x91682)+E(f327(f327(f41(x91681,x91682),x91683),f327(f327(f8(f922(x91684,x91682),x91682,x91681),f327(f41(x91684,x91682),x91685)),f327(f7(x91684,x91681,x91682),x91686))),f327(f327(f41(x91684,x91682),x91685),f327(f327(f8(f922(x91681,x91682),x91682,x91684),f327(f41(x91681,x91682),x91683)),x91686)))
% 207.23/207.89 [9372]P1(f327(f327(f329(x93721),x93722),f327(f173(x93721),x93723)))+~P1(f327(f327(f329(f921(x93724,x93721)),f327(f327(f252(x93724,x93721),x93725),x93722)),f327(f173(f921(x93724,x93721)),f327(f327(f182(x93724,x93721),x93726),x93723))))
% 207.23/207.89 [9373]P1(f327(f327(f329(x93731),x93732),f327(f173(x93731),x93733)))+~P1(f327(f327(f329(f921(x93731,x93734)),f327(f327(f252(x93731,x93734),x93732),x93735)),f327(f173(f921(x93731,x93734)),f327(f327(f182(x93731,x93734),x93733),x93736))))
% 207.23/207.89 [9479]P1(f327(f327(f234(f922(x94791,a910)),f327(f285(x94792,x94791,x94793),x94794)),x94795))+~P1(f327(f327(f234(f922(f921(x94792,x94791),a910)),x94793),f327(f327(f254(x94792,x94791),x94796),f327(f16(f922(x94791,a910),x94792),x94795))))
% 207.23/207.89 [9484]~P24(x94844,x94842,x94845,f242(f922(x94844,a910)),f242(f922(x94842,a910)))+E(f327(f327(f41(x94841,f922(x94842,a910)),x94843),f327(f327(f8(f922(x94844,a910),f922(x94842,a910),x94841),f310(x94844,x94842,x94845)),x94846)),f327(f310(x94844,x94842,x94845),f327(f327(f41(x94841,f922(x94844,a910)),x94843),x94846)))
% 207.23/207.89 [9674]P1(f327(f327(f329(f921(f916(x96741),f916(x96741))),f327(f327(f252(f916(x96741),f916(x96741)),f327(f327(f152(x96741),x96742),x96743)),f327(f327(f152(x96741),x96744),x96745))),f148(x96741,x96746)))+~P1(f327(f327(f329(f921(x96741,x96741)),f327(f327(f252(x96741,x96741),x96742),x96744)),x96746))
% 207.23/207.89 [10131]E(f327(f327(f252(x101311,x101312),f581(x101313,x101314,x101315,x101312,x101311,x101316)),f582(x101313,x101314,x101315,x101312,x101311,x101316)),x101316)+P1(f327(f327(f329(x101315),x101314),f327(f327(f257(x101311,x101312,f922(x101315,a910)),x101313),x101316)))
% 207.23/207.89 [10137]E(f327(f327(f252(x101371,x101372),f583(x101373,x101374,x101372,x101371,x101375,x101376)),f584(x101373,x101374,x101372,x101371,x101375,x101376)),x101373)+~P1(f327(f327(f329(x101376),x101375),f327(f327(f257(x101371,x101372,f922(x101376,a910)),x101374),x101373)))
% 207.23/207.89 [10303]P1(f327(f327(f329(x103031),x103032),f327(f327(x103033,f583(x103034,x103033,x103035,x103036,x103032,x103031)),f584(x103034,x103033,x103035,x103036,x103032,x103031))))+~P1(f327(f327(f329(x103031),x103032),f327(f327(f257(x103036,x103035,f922(x103031,a910)),x103033),x103034)))
% 207.23/207.89 [10328]~P1(f327(f327(f329(x103281),x103282),f327(f327(x103285,f581(x103285,x103282,x103281,x103284,x103283,x103286)),f582(x103285,x103282,x103281,x103284,x103283,x103286))))+P1(f327(f327(f329(x103281),x103282),f327(f327(f257(x103283,x103284,f922(x103281,a910)),x103285),x103286)))
% 207.23/207.89 [8615]E(x86151,x86152)+E(f327(f327(f160(x86153,f327(f327(f160(x86153,x86154),x86151),x86155)),x86152),x86156),f327(f327(f160(x86153,f327(f327(f160(x86153,x86154),x86152),x86156)),x86151),x86155))
% 207.23/207.89 [9735]~P1(f327(f327(f329(x97353),x97356),x97355))+E(f327(f327(f309(x97351),x97352),f327(f310(x97353,x97351,x97354),f327(f327(f23(f922(x97353,a910)),x97355),f327(f327(f309(x97353),x97356),f190(f922(x97353,a910)))))),f327(f310(x97353,x97351,f74(x97353,x97351,x97354,x97356,x97352)),x97355))
% 207.23/207.89 [9246]~P1(f327(f327(x92464,x92465),x92466))+P1(f327(f327(f327(f327(f102(f922(x92461,f922(x92462,a910))),x92463),x92464),x92465),x92466))
% 207.23/207.89 [9248]~P1(f327(f327(x92483,x92485),x92486))+P1(f327(f327(f327(f327(f102(f922(x92481,f922(x92482,a910))),x92483),x92484),x92485),x92486))
% 207.23/207.89 [9534]P1(f327(f327(x95341,x95342),x95343))+~P1(f327(f327(f327(f327(f103(f922(x95344,f922(x95345,a910))),x95346),x95341),x95342),x95343))
% 207.23/207.89 [9535]P1(f327(f327(x95351,x95352),x95353))+~P1(f327(f327(f327(f327(f103(f922(x95354,f922(x95355,a910))),x95351),x95356),x95352),x95353))
% 207.23/207.89 [9969]~P68(x99692)+E(f327(f327(f6(x99691,x99692),f327(f327(f7(x99691,f922(x99693,a910),x99692),f327(f327(f8(f922(x99693,x99692),f922(f922(x99693,a910),x99692),x99691),f6(x99693,x99692)),x99694)),x99695)),x99696),f327(f327(f6(f921(x99691,x99693),x99692),f327(f257(x99691,x99693,x99692),x99694)),f327(f327(f254(x99691,x99693),x99696),f327(f16(f922(x99693,a910),x99691),x99695))))
% 207.23/207.89 [9970]~P75(x99702)+E(f327(f327(f9(x99701,x99702),f327(f327(f7(x99701,f922(x99703,a910),x99702),f327(f327(f8(f922(x99703,x99702),f922(f922(x99703,a910),x99702),x99701),f9(x99703,x99702)),x99704)),x99705)),x99706),f327(f327(f9(f921(x99701,x99703),x99702),f327(f257(x99701,x99703,x99702),x99704)),f327(f327(f254(x99701,x99703),x99706),f327(f16(f922(x99703,a910),x99701),x99705))))
% 207.23/207.89 [10103]~P68(x101032)+E(f327(f327(f6(x101031,x101032),f327(f327(f7(x101031,f922(x101033,a910),x101032),f327(f327(f8(f922(x101033,x101032),f922(f922(x101033,a910),x101032),x101031),f6(x101033,x101032)),f327(f7(x101033,x101031,x101032),x101034))),x101035)),x101036),f327(f327(f6(x101033,x101032),f327(f327(f7(x101033,f922(x101031,a910),x101032),f327(f327(f8(f922(x101031,x101032),f922(f922(x101031,a910),x101032),x101033),f6(x101031,x101032)),x101034)),x101036)),x101035))
% 207.23/207.89 [10421]~P1(f327(f327(f329(f921(x104211,x104212)),f327(f327(f252(x104211,x104212),x104215),x104216)),f327(f327(f102(f922(f921(x104211,x104212),a910)),x104213),x104214)))+P1(f327(f327(f327(f327(f102(f922(x104211,f922(x104212,a910))),f327(f327(f7(x104211,f922(f921(x104211,x104212),a910),f922(x104212,a910)),f327(f327(f8(f922(x104212,f922(f922(f921(x104211,x104212),a910),a910)),f922(f922(f921(x104211,x104212),a910),f922(x104212,a910)),x104211),f7(x104212,f922(f921(x104211,x104212),a910),a910)),f327(f327(f8(f922(x104212,f921(x104211,x104212)),f922(x104212,f922(f922(f921(x104211,x104212),a910),a910)),x104211),f327(f8(f921(x104211,x104212),f922(f922(f921(x104211,x104212),a910),a910),x104212),f329(f921(x104211,x104212)))),f252(x104211,x104212)))),x104213)),f327(f327(f7(x104211,f922(f921(x104211,x104212),a910),f922(x104212,a910)),f327(f327(f8(f922(x104212,f922(f922(f921(x104211,x104212),a910),a910)),f922(f922(f921(x104211,x104212),a910),f922(x104212,a910)),x104211),f7(x104212,f922(f921(x104211,x104212),a910),a910)),f327(f327(f8(f922(x104212,f921(x104211,x104212)),f922(x104212,f922(f922(f921(x104211,x104212),a910),a910)),x104211),f327(f8(f921(x104211,x104212),f922(f922(f921(x104211,x104212),a910),a910),x104212),f329(f921(x104211,x104212)))),f252(x104211,x104212)))),x104214)),x104215),x104216))
% 207.23/207.89 [10422]~P1(f327(f327(f329(f921(x104221,x104222)),f327(f327(f252(x104221,x104222),x104225),x104226)),f327(f327(f103(f922(f921(x104221,x104222),a910)),x104223),x104224)))+P1(f327(f327(f327(f327(f103(f922(x104221,f922(x104222,a910))),f327(f327(f7(x104221,f922(f921(x104221,x104222),a910),f922(x104222,a910)),f327(f327(f8(f922(x104222,f922(f922(f921(x104221,x104222),a910),a910)),f922(f922(f921(x104221,x104222),a910),f922(x104222,a910)),x104221),f7(x104222,f922(f921(x104221,x104222),a910),a910)),f327(f327(f8(f922(x104222,f921(x104221,x104222)),f922(x104222,f922(f922(f921(x104221,x104222),a910),a910)),x104221),f327(f8(f921(x104221,x104222),f922(f922(f921(x104221,x104222),a910),a910),x104222),f329(f921(x104221,x104222)))),f252(x104221,x104222)))),x104223)),f327(f327(f7(x104221,f922(f921(x104221,x104222),a910),f922(x104222,a910)),f327(f327(f8(f922(x104222,f922(f922(f921(x104221,x104222),a910),a910)),f922(f922(f921(x104221,x104222),a910),f922(x104222,a910)),x104221),f7(x104222,f922(f921(x104221,x104222),a910),a910)),f327(f327(f8(f922(x104222,f921(x104221,x104222)),f922(x104222,f922(f922(f921(x104221,x104222),a910),a910)),x104221),f327(f8(f921(x104221,x104222),f922(f922(f921(x104221,x104222),a910),a910),x104222),f329(f921(x104221,x104222)))),f252(x104221,x104222)))),x104224)),x104225),x104226))
% 207.23/207.89 [10431]P1(f327(f327(f329(f921(x104311,x104312)),f327(f327(f252(x104311,x104312),x104313),x104314)),f327(f327(f102(f922(f921(x104311,x104312),a910)),x104315),x104316)))+~P1(f327(f327(f327(f327(f102(f922(x104311,f922(x104312,a910))),f327(f327(f7(x104311,f922(f921(x104311,x104312),a910),f922(x104312,a910)),f327(f327(f8(f922(x104312,f922(f922(f921(x104311,x104312),a910),a910)),f922(f922(f921(x104311,x104312),a910),f922(x104312,a910)),x104311),f7(x104312,f922(f921(x104311,x104312),a910),a910)),f327(f327(f8(f922(x104312,f921(x104311,x104312)),f922(x104312,f922(f922(f921(x104311,x104312),a910),a910)),x104311),f327(f8(f921(x104311,x104312),f922(f922(f921(x104311,x104312),a910),a910),x104312),f329(f921(x104311,x104312)))),f252(x104311,x104312)))),x104315)),f327(f327(f7(x104311,f922(f921(x104311,x104312),a910),f922(x104312,a910)),f327(f327(f8(f922(x104312,f922(f922(f921(x104311,x104312),a910),a910)),f922(f922(f921(x104311,x104312),a910),f922(x104312,a910)),x104311),f7(x104312,f922(f921(x104311,x104312),a910),a910)),f327(f327(f8(f922(x104312,f921(x104311,x104312)),f922(x104312,f922(f922(f921(x104311,x104312),a910),a910)),x104311),f327(f8(f921(x104311,x104312),f922(f922(f921(x104311,x104312),a910),a910),x104312),f329(f921(x104311,x104312)))),f252(x104311,x104312)))),x104316)),x104313),x104314))
% 207.23/207.89 [10432]P1(f327(f327(f329(f921(x104321,x104322)),f327(f327(f252(x104321,x104322),x104323),x104324)),f327(f327(f103(f922(f921(x104321,x104322),a910)),x104325),x104326)))+~P1(f327(f327(f327(f327(f103(f922(x104321,f922(x104322,a910))),f327(f327(f7(x104321,f922(f921(x104321,x104322),a910),f922(x104322,a910)),f327(f327(f8(f922(x104322,f922(f922(f921(x104321,x104322),a910),a910)),f922(f922(f921(x104321,x104322),a910),f922(x104322,a910)),x104321),f7(x104322,f922(f921(x104321,x104322),a910),a910)),f327(f327(f8(f922(x104322,f921(x104321,x104322)),f922(x104322,f922(f922(f921(x104321,x104322),a910),a910)),x104321),f327(f8(f921(x104321,x104322),f922(f922(f921(x104321,x104322),a910),a910),x104322),f329(f921(x104321,x104322)))),f252(x104321,x104322)))),x104325)),f327(f327(f7(x104321,f922(f921(x104321,x104322),a910),f922(x104322,a910)),f327(f327(f8(f922(x104322,f922(f922(f921(x104321,x104322),a910),a910)),f922(f922(f921(x104321,x104322),a910),f922(x104322,a910)),x104321),f7(x104322,f922(f921(x104321,x104322),a910),a910)),f327(f327(f8(f922(x104322,f921(x104321,x104322)),f922(x104322,f922(f922(f921(x104321,x104322),a910),a910)),x104321),f327(f8(f921(x104321,x104322),f922(f922(f921(x104321,x104322),a910),a910),x104322),f329(f921(x104321,x104322)))),f252(x104321,x104322)))),x104326)),x104323),x104324))
% 207.23/207.89 [10415]~P1(f327(f327(f329(f921(x104152,x104153)),f327(f327(f252(x104152,x104153),x104155),x104156)),f327(f327(f40(x104151,f922(f921(x104152,x104153),a910)),f242(f922(x104151,a910))),x104154)))+P1(f327(f327(f327(f327(f40(x104151,f922(x104152,f922(x104153,a910))),f242(f922(x104151,a910))),f327(f327(f8(f922(f921(x104152,x104153),a910),f922(x104152,f922(x104153,a910)),x104151),f327(f7(x104152,f922(f921(x104152,x104153),a910),f922(x104153,a910)),f327(f327(f8(f922(x104153,f922(f922(f921(x104152,x104153),a910),a910)),f922(f922(f921(x104152,x104153),a910),f922(x104153,a910)),x104152),f7(x104153,f922(f921(x104152,x104153),a910),a910)),f327(f327(f8(f922(x104153,f921(x104152,x104153)),f922(x104153,f922(f922(f921(x104152,x104153),a910),a910)),x104152),f327(f8(f921(x104152,x104153),f922(f922(f921(x104152,x104153),a910),a910),x104153),f329(f921(x104152,x104153)))),f252(x104152,x104153))))),x104154)),x104155),x104156))
% 207.23/207.89 [10416]~P1(f327(f327(f329(f921(x104162,x104163)),f327(f327(f252(x104162,x104163),x104165),x104166)),f327(f327(f41(x104161,f922(f921(x104162,x104163),a910)),f242(f922(x104161,a910))),x104164)))+P1(f327(f327(f327(f327(f41(x104161,f922(x104162,f922(x104163,a910))),f242(f922(x104161,a910))),f327(f327(f8(f922(f921(x104162,x104163),a910),f922(x104162,f922(x104163,a910)),x104161),f327(f7(x104162,f922(f921(x104162,x104163),a910),f922(x104163,a910)),f327(f327(f8(f922(x104163,f922(f922(f921(x104162,x104163),a910),a910)),f922(f922(f921(x104162,x104163),a910),f922(x104163,a910)),x104162),f7(x104163,f922(f921(x104162,x104163),a910),a910)),f327(f327(f8(f922(x104163,f921(x104162,x104163)),f922(x104163,f922(f922(f921(x104162,x104163),a910),a910)),x104162),f327(f8(f921(x104162,x104163),f922(f922(f921(x104162,x104163),a910),a910),x104163),f329(f921(x104162,x104163)))),f252(x104162,x104163))))),x104164)),x104165),x104166))
% 207.23/207.89 [10425]P1(f327(f327(f329(f921(x104251,x104252)),f327(f327(f252(x104251,x104252),x104253),x104254)),f327(f327(f40(x104255,f922(f921(x104251,x104252),a910)),f242(f922(x104255,a910))),x104256)))+~P1(f327(f327(f327(f327(f40(x104255,f922(x104251,f922(x104252,a910))),f242(f922(x104255,a910))),f327(f327(f8(f922(f921(x104251,x104252),a910),f922(x104251,f922(x104252,a910)),x104255),f327(f7(x104251,f922(f921(x104251,x104252),a910),f922(x104252,a910)),f327(f327(f8(f922(x104252,f922(f922(f921(x104251,x104252),a910),a910)),f922(f922(f921(x104251,x104252),a910),f922(x104252,a910)),x104251),f7(x104252,f922(f921(x104251,x104252),a910),a910)),f327(f327(f8(f922(x104252,f921(x104251,x104252)),f922(x104252,f922(f922(f921(x104251,x104252),a910),a910)),x104251),f327(f8(f921(x104251,x104252),f922(f922(f921(x104251,x104252),a910),a910),x104252),f329(f921(x104251,x104252)))),f252(x104251,x104252))))),x104256)),x104253),x104254))
% 207.23/207.89 [10426]P1(f327(f327(f329(f921(x104261,x104262)),f327(f327(f252(x104261,x104262),x104263),x104264)),f327(f327(f41(x104265,f922(f921(x104261,x104262),a910)),f242(f922(x104265,a910))),x104266)))+~P1(f327(f327(f327(f327(f41(x104265,f922(x104261,f922(x104262,a910))),f242(f922(x104265,a910))),f327(f327(f8(f922(f921(x104261,x104262),a910),f922(x104261,f922(x104262,a910)),x104265),f327(f7(x104261,f922(f921(x104261,x104262),a910),f922(x104262,a910)),f327(f327(f8(f922(x104262,f922(f922(f921(x104261,x104262),a910),a910)),f922(f922(f921(x104261,x104262),a910),f922(x104262,a910)),x104261),f7(x104262,f922(f921(x104261,x104262),a910),a910)),f327(f327(f8(f922(x104262,f921(x104261,x104262)),f922(x104262,f922(f922(f921(x104261,x104262),a910),a910)),x104261),f327(f8(f921(x104261,x104262),f922(f922(f921(x104261,x104262),a910),a910),x104262),f329(f921(x104261,x104262)))),f252(x104261,x104262))))),x104266)),x104263),x104264))
% 207.23/207.89 [7624]E(f327(x76241,f327(x76242,x76243)),f327(x76244,x76243))+~E(f327(f72(x76245,x76246,x76247,x76241),x76242),x76244)
% 207.23/207.89 [9751]E(x97511,x97512)+E(f74(x97513,x97514,f74(x97513,x97514,x97515,x97511,x97516),x97512,x97517),f74(x97513,x97514,f74(x97513,x97514,x97515,x97512,x97517),x97511,x97516))
% 207.23/207.89 [9842]~P20(x98423,x98424,x98421,x98425,x98426,x98427)+E(f327(f327(x98421,x98422),x98422),x98422)
% 207.23/207.89 [6179]~E(f327(f327(f155(x61791,x61795),x61796),x61792),f327(f327(f155(x61793,x61795),x61797),x61794))+E(f327(f191(f916(x61791)),x61792),f327(f191(f916(x61793)),x61794))
% 207.23/207.89 [8646]E(f327(x86461,f327(x86462,x86463)),f327(x86464,x86463))+~E(f327(f72(x86465,x86466,x86467,x86461),x86462),f327(f72(x86466,x86466,x86467,f31(x86466)),x86464))
% 207.23/207.89 [9000]~P32(x90004,x90005,x90001,f327(f327(f152(x90004),x90002),x90006),f327(f327(f152(x90005),x90003),x90007))+P1(f327(f327(x90001,x90002),x90003))
% 207.23/207.89 [9379]P32(x93791,x93792,x93793,x93794,x93795)+~P32(x93791,x93792,x93793,f327(f327(f152(x93791),x93796),x93794),f327(f327(f152(x93792),x93797),x93795))
% 207.23/207.89 [10003]P1(f327(f327(x100031,x100032),f540(x100033,x100032,x100034,x100031)))+~P1(f327(f327(f253(x100035,x100036,x100037,x100031,x100034),x100032),x100033))
% 207.23/207.89 [10027]P1(f327(f327(x100271,f540(x100272,x100273,x100271,x100274)),x100272))+~P1(f327(f327(f253(x100275,x100276,x100277,x100274,x100271),x100273),x100272))
% 207.23/207.89 [6228]E(x62281,x62282)+~E(f327(f327(f327(f91(x62283),x62284),x62285),x62281),f327(f327(f327(f91(x62283),x62286),x62287),x62282))
% 207.23/207.89 [6229]E(x62291,x62292)+~E(f327(f327(f327(f91(x62293),x62294),x62291),x62295),f327(f327(f327(f91(x62293),x62296),x62292),x62297))
% 207.23/207.89 [6230]E(x62301,x62302)+~E(f327(f327(f327(f91(x62303),x62301),x62304),x62305),f327(f327(f327(f91(x62303),x62302),x62306),x62307))
% 207.23/207.89 [9121]~P18(x91216,x91211,x91213,x91217)+E(f327(f72(x91211,x91211,x91212,f327(x91213,x91214)),f327(f72(x91211,x91211,x91212,f327(x91213,x91214)),x91215)),f327(f72(x91211,x91211,x91212,f327(x91213,x91214)),x91215))
% 207.23/207.89 [9487]~P32(x94873,x94872,x94874,f327(f327(f155(x94871,x94873),x94875),x94876),x94877)+P32(x94871,x94872,f327(f327(f8(x94873,f922(x94872,a910),x94871),x94874),x94875),x94876,x94877)
% 207.23/207.89 [9510]P32(x95101,x95102,x95103,f327(f327(f155(x95104,x95101),x95105),x95106),x95107)+~P32(x95104,x95102,f327(f327(f8(x95101,f922(x95102,a910),x95104),x95103),x95105),x95106,x95107)
% 207.23/207.89 [9120]~P1(f327(f327(f329(x91201),x91202),f327(f327(x91205,x91206),x91207)))+P1(f327(f327(f329(x91201),x91202),f327(f327(f257(x91203,x91204,f922(x91201,a910)),x91205),f327(f327(f252(x91203,x91204),x91206),x91207))))
% 207.23/207.89 [9404]P1(f327(f327(f327(x94041,x94042),x94043),x94044))+~P1(f327(f327(f327(f257(x94045,x94046,f922(x94047,a910)),x94041),f327(f327(f252(x94045,x94046),x94042),x94043)),x94044))
% 207.23/207.89 [9549]P1(f327(f327(f329(x95491),f327(f327(x95492,x95493),x95494)),f327(f310(f921(x95495,x95496),x95491,f327(f257(x95495,x95496,x95491),x95492)),x95497)))+~P1(f327(f327(f329(f921(x95495,x95496)),f327(f327(f252(x95495,x95496),x95493),x95494)),x95497))
% 207.23/207.89 [9889]P1(f327(f327(f329(f921(f916(x98891),f916(x98891))),f327(f327(f252(f916(x98891),f916(x98891)),f327(f327(f135(x98891),x98892),f327(f327(f152(x98891),x98893),x98894))),f327(f327(f135(x98891),x98892),f327(f327(f152(x98891),x98895),x98896)))),f148(x98891,x98897)))+~P1(f327(f327(f329(f921(x98891,x98891)),f327(f327(f252(x98891,x98891),x98893),x98895)),x98897))
% 207.23/207.89 [9954]~P32(x99541,x99543,x99544,x99546,f327(f327(f155(x99542,x99543),x99545),x99547))+P32(x99541,x99542,f327(f327(f7(x99541,f922(x99542,x99543),f922(x99542,a910)),f327(f327(f8(f922(x99543,a910),f922(f922(x99542,x99543),f922(x99542,a910)),x99541),f8(x99543,a910,x99542)),x99544)),x99545),x99546,x99547)
% 207.23/207.89 [10031]P32(x100311,x100312,x100313,x100314,f327(f327(f155(x100315,x100312),x100316),x100317))+~P32(x100311,x100315,f327(f327(f7(x100311,f922(x100315,x100312),f922(x100315,a910)),f327(f327(f8(f922(x100312,a910),f922(f922(x100315,x100312),f922(x100315,a910)),x100311),f8(x100312,a910,x100315)),x100313)),x100316),x100314,x100317)
% 207.23/207.89 [10342]P1(f327(f327(f329(x103421),f361(x103422,x103423,x103424,x103425,x103426,x103427,x103421)),x103425))+P1(f327(f327(f327(f327(f41(x103421,f922(x103427,f922(x103426,a910))),x103425),x103424),x103423),x103422))
% 207.23/207.89 [10343]P1(f327(f327(f329(x103431),f782(x103432,x103433,x103434,x103435,x103436,x103437,x103431)),x103437))+P1(f327(f327(f327(f327(f41(x103431,f922(x103433,f922(x103432,a910))),x103437),x103436),x103435),x103434))
% 207.23/207.89 [10344]P1(f327(f327(f329(x103441),f906(x103442,x103443,x103444,x103445,x103446,x103447,x103441)),x103445))+~P1(f327(f327(f327(f327(f40(x103441,f922(x103447,f922(x103446,a910))),x103445),x103444),x103443),x103442))
% 207.23/207.89 [10345]P1(f327(f327(f329(x103451),f783(x103452,x103453,x103454,x103455,x103456,x103457,x103451)),x103455))+~P1(f327(f327(f327(f327(f40(x103451,f922(x103457,f922(x103456,a910))),x103455),x103454),x103453),x103452))
% 207.23/207.89 [10378]P1(f327(f327(f327(x103781,f906(x103782,x103783,x103781,x103784,x103785,x103786,x103787)),x103783),x103782))+~P1(f327(f327(f327(f327(f40(x103787,f922(x103786,f922(x103785,a910))),x103784),x103781),x103783),x103782))
% 207.23/207.89 [10379]P1(f327(f327(f327(x103791,f783(x103792,x103793,x103791,x103794,x103795,x103796,x103797)),x103793),x103792))+~P1(f327(f327(f327(f327(f40(x103797,f922(x103796,f922(x103795,a910))),x103794),x103791),x103793),x103792))
% 207.23/207.89 [10396]~P1(f327(f327(f327(x103965,f361(x103967,x103966,x103965,x103964,x103963,x103962,x103961)),x103966),x103967))+P1(f327(f327(f327(f327(f41(x103961,f922(x103962,f922(x103963,a910))),x103964),x103965),x103966),x103967))
% 207.23/207.89 [10397]~P1(f327(f327(f327(x103975,f782(x103973,x103972,x103977,x103976,x103975,x103974,x103971)),x103976),x103977))+P1(f327(f327(f327(f327(f41(x103971,f922(x103972,f922(x103973,a910))),x103974),x103975),x103976),x103977))
% 207.23/207.89 [10414]~P1(f327(f327(f329(f921(x104141,x104143)),f327(f327(f252(x104141,x104143),x104146),x104147)),f327(f327(f289(x104141,x104142,x104143),x104144),x104145)))+P1(f327(f327(f253(x104141,x104142,x104143,f327(f327(f7(x104141,f922(f921(x104141,x104142),a910),f922(x104142,a910)),f327(f327(f8(f922(x104142,f922(f922(f921(x104141,x104142),a910),a910)),f922(f922(f921(x104141,x104142),a910),f922(x104142,a910)),x104141),f7(x104142,f922(f921(x104141,x104142),a910),a910)),f327(f327(f8(f922(x104142,f921(x104141,x104142)),f922(x104142,f922(f922(f921(x104141,x104142),a910),a910)),x104141),f327(f8(f921(x104141,x104142),f922(f922(f921(x104141,x104142),a910),a910),x104142),f329(f921(x104141,x104142)))),f252(x104141,x104142)))),x104144),f327(f327(f7(x104142,f922(f921(x104142,x104143),a910),f922(x104143,a910)),f327(f327(f8(f922(x104143,f922(f922(f921(x104142,x104143),a910),a910)),f922(f922(f921(x104142,x104143),a910),f922(x104143,a910)),x104142),f7(x104143,f922(f921(x104142,x104143),a910),a910)),f327(f327(f8(f922(x104143,f921(x104142,x104143)),f922(x104143,f922(f922(f921(x104142,x104143),a910),a910)),x104142),f327(f8(f921(x104142,x104143),f922(f922(f921(x104142,x104143),a910),a910),x104143),f329(f921(x104142,x104143)))),f252(x104142,x104143)))),x104145)),x104146),x104147))
% 207.23/207.89 [10424]P1(f327(f327(f329(f921(x104241,x104242)),f327(f327(f252(x104241,x104242),x104243),x104244)),f327(f327(f289(x104241,x104245,x104242),x104246),x104247)))+~P1(f327(f327(f253(x104241,x104245,x104242,f327(f327(f7(x104241,f922(f921(x104241,x104245),a910),f922(x104245,a910)),f327(f327(f8(f922(x104245,f922(f922(f921(x104241,x104245),a910),a910)),f922(f922(f921(x104241,x104245),a910),f922(x104245,a910)),x104241),f7(x104245,f922(f921(x104241,x104245),a910),a910)),f327(f327(f8(f922(x104245,f921(x104241,x104245)),f922(x104245,f922(f922(f921(x104241,x104245),a910),a910)),x104241),f327(f8(f921(x104241,x104245),f922(f922(f921(x104241,x104245),a910),a910),x104245),f329(f921(x104241,x104245)))),f252(x104241,x104245)))),x104246),f327(f327(f7(x104245,f922(f921(x104245,x104242),a910),f922(x104242,a910)),f327(f327(f8(f922(x104242,f922(f922(f921(x104245,x104242),a910),a910)),f922(f922(f921(x104245,x104242),a910),f922(x104242,a910)),x104245),f7(x104242,f922(f921(x104245,x104242),a910),a910)),f327(f327(f8(f922(x104242,f921(x104245,x104242)),f922(x104242,f922(f922(f921(x104245,x104242),a910),a910)),x104245),f327(f8(f921(x104245,x104242),f922(f922(f921(x104245,x104242),a910),a910),x104242),f329(f921(x104245,x104242)))),f252(x104245,x104242)))),x104247)),x104243),x104244))
% 207.23/207.89 [10354]~P139(x103542)+E(f327(f327(f6(x103541,x103542),f327(f327(f7(x103541,f922(x103543,a910),x103542),f327(f327(f8(f922(x103543,x103542),f922(f922(x103543,a910),x103542),x103541),f6(x103543,x103542)),f327(f327(f7(x103541,f922(x103543,x103542),f922(x103543,x103542)),f327(f327(f8(f922(x103542,x103542),f922(f922(x103543,x103542),f922(x103543,x103542)),x103541),f8(x103542,x103542,x103543)),f327(f327(f8(x103542,f922(x103542,x103542),x103541),f81(x103542)),x103544))),x103545))),x103546)),x103547),f327(f327(f81(x103542),f327(f327(f6(x103541,x103542),x103544),x103547)),f327(f327(f6(x103543,x103542),x103545),x103546)))
% 207.23/207.89 [9436]~P17(x94367,x94361,x94363,x94368)+E(f327(f72(x94361,x94361,x94362,f327(x94363,x94364)),f327(f72(x94361,x94361,x94362,f327(x94363,x94365)),x94366)),f327(f72(x94361,x94361,x94362,f327(x94363,x94365)),f327(f72(x94361,x94361,x94362,f327(x94363,x94364)),x94366)))
% 207.23/207.89 [10419]E(f327(f327(f252(x104191,x104192),f327(x104193,f564(x104194,x104195,x104193,x104196,x104197,x104198,x104192,x104191))),f327(x104195,f565(x104194,x104195,x104193,x104196,x104197,x104198,x104192,x104191))),x104198)+~P1(f327(f327(f329(f921(x104191,x104192)),x104198),f327(f310(f921(x104197,x104196),f921(x104191,x104192),f258(x104197,x104191,x104196,x104192,x104193,x104195)),x104194)))
% 207.23/207.89 [10437]~P1(f327(f327(f329(f921(x104378,x104377)),x104376),f327(f310(f921(x104371,x104372),f921(x104378,x104377),f258(x104371,x104378,x104372,x104377,x104375,x104374)),x104373)))+P1(f327(f327(f329(f921(x104371,x104372)),f327(f327(f252(x104371,x104372),f564(x104373,x104374,x104375,x104372,x104371,x104376,x104377,x104378)),f565(x104373,x104374,x104375,x104372,x104371,x104376,x104377,x104378))),x104373))
% 207.23/207.89 [9879]P1(f327(f327(f329(f921(f921(x98791,x98792),f921(x98791,x98792))),f327(f327(f252(f921(x98791,x98792),f921(x98791,x98792)),f327(f327(f252(x98791,x98792),x98793),x98794)),f327(f327(f252(x98791,x98792),x98795),x98796))),f320(x98791,x98792,x98797,x98798)))+~P1(f327(f327(f329(f921(x98791,x98791)),f327(f327(f252(x98791,x98791),x98793),x98795)),x98797))
% 207.23/207.89 [10408]E(f327(f143(x104081,x104082,f327(f7(x104082,x104081,x104081),x104083),f327(x104084,x104085)),x104086),f327(x104084,f327(f143(x104087,x104082,f327(f7(x104082,x104087,x104087),x104088),x104085),x104086)))+P1(f327(f327(f329(x104082),f728(x104085,x104088,x104084,x104083,x104087,x104081,x104086,x104082)),f327(f173(x104082),x104086)))
% 207.23/207.89 [10427]~E(f327(f72(x104271,x104271,x104277,f327(x104273,f728(x104275,x104278,x104274,x104273,x104277,x104271,x104276,x104272))),x104274),f327(f72(x104277,x104271,x104277,x104274),f327(x104278,f728(x104275,x104278,x104274,x104273,x104277,x104271,x104276,x104272))))+E(f327(f143(x104271,x104272,f327(f7(x104272,x104271,x104271),x104273),f327(x104274,x104275)),x104276),f327(x104274,f327(f143(x104277,x104272,f327(f7(x104272,x104277,x104277),x104278),x104275),x104276)))
% 207.23/207.89 [8651]E(f327(x86511,f327(x86512,x86513)),f327(x86514,f327(x86515,x86513)))+~E(f327(f72(x86516,x86517,x86518,x86511),x86512),f327(f72(x86519,x86517,x86518,x86514),x86515))
% 207.23/207.89 [10266]P1(f327(f327(f329(f921(x102661,x102662)),f327(f327(f252(x102661,x102662),f327(x102663,x102664)),f327(x102665,x102666))),f327(f310(f921(x102667,x102668),f921(x102661,x102662),f258(x102667,x102661,x102668,x102662,x102663,x102665)),x102669)))+~P1(f327(f327(f329(f921(x102667,x102668)),f327(f327(f252(x102667,x102668),x102664),x102666)),x102669))
% 207.23/207.89 [8946]~E(f327(x89464,f327(x89465,x89466)),f327(x89469,f327(x894610,x894611)))+E(f327(f327(f72(x89461,x89462,x89463,x89464),x89465),x89466),f327(f327(f72(x89467,x89462,x89468,x89469),x894610),x894611))
% 207.23/207.89 [4746]~P108(x47461)+~P101(x47461)+E(f189(x47461),f102(x47461))
% 207.23/207.89 [4747]~P108(x47471)+~P102(x47471)+E(f238(x47471),f103(x47471))
% 207.23/207.89 [4996]~P119(x49961)+~P93(x49961)+E(f327(f75(x49961),f327(f105(x49961),a98)),f78(x49961))
% 207.23/207.89 [5283]E(x52831,f2(a1))+E(f82(a1,x52831),f327(f79(a1),f78(a1)))+P1(f327(f327(f235(a1),f2(a1)),x52831))
% 207.23/207.89 [5491]E(x54911,f2(a1))+E(f82(a1,x54911),f78(a1))+~P1(f327(f327(f235(a1),f2(a1)),x54911))
% 207.23/207.89 [7525]~P38(x75251)+P1(f327(f35(a1),x75251))+~P1(f327(f35(a915),f327(f310(a1,a915,a106),x75251)))
% 207.23/207.89 [9841]E(x98411,f190(f922(f921(a915,a915),a910)))+~P1(f327(f35(f921(a915,a915)),x98411))+P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),f190(f922(f921(a915,a915),a910))),x98411)),a34))
% 207.23/207.89 [10004]E(x100041,f2(a915))+E(x100041,f327(a113,f2(a915)))+~P1(f327(f327(f235(a915),x100041),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.89 [10298]E(x102981,f2(a100))+E(f327(f327(f80(a1),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(a22,f327(f327(f37(a100),x102981),f327(f105(a100),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))),f78(a1)),f327(a22,x102981))+E(f46(a100,x102981,f327(f105(a100),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f2(a100))
% 207.23/207.89 [10141]E(x101411,f2(a100))+~E(f46(a100,x101411,f327(f105(a100),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f2(a100))+E(f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(a22,f327(f327(f37(a100),x101411),f327(f105(a100),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))),f327(a22,x101411))
% 207.23/207.89 [4827]~P55(x48271,x48272)+P42(x48271,x48272)+~P43(a910)
% 207.23/207.89 [4756]~P146(x47561)+P26(x47561,x47562)+~E(x47562,f2(x47561))
% 207.23/207.89 [4757]~P108(x47571)+P11(x47571,x47572)+~E(x47572,f114(x47571))
% 207.23/207.89 [4766]~P119(x47661)+~E(x47662,f2(x47661))+E(f82(x47661,x47662),f2(x47661))
% 207.23/207.89 [4767]~P89(x47671)+~E(x47672,f2(x47671))+E(f82(x47671,x47672),f2(x47671))
% 207.23/207.89 [4775]~P146(x47752)+~P26(x47752,x47751)+E(x47751,f2(x47752))
% 207.23/207.89 [4820]~P119(x48202)+~E(f82(x48202,x48201),f2(x48202))+E(x48201,f2(x48202))
% 207.23/207.89 [4834]~P2(x48342)+~P2(x48341)+P2(f922(x48341,x48342))
% 207.23/207.89 [4835]~P2(x48352)+~P2(x48351)+P2(f920(x48351,x48352))
% 207.23/207.89 [4836]~P2(x48362)+~P2(x48361)+P2(f921(x48361,x48362))
% 207.23/207.89 [4837]~P4(x48372)+~P4(x48371)+P4(f196(x48371,x48372))
% 207.23/207.89 [4838]~P60(x48382)+~P60(x48381)+P60(f922(x48381,x48382))
% 207.23/207.89 [4839]~P60(x48392)+~P60(x48391)+P60(f920(x48391,x48392))
% 207.23/207.89 [4840]~P60(x48402)+~P60(x48401)+P60(f921(x48401,x48402))
% 207.23/207.89 [4841]~P104(x48412)+~P104(x48411)+P104(f921(x48411,x48412))
% 207.23/207.89 [4968]~P108(x49681)+~P11(x49681,x49682)+P11(x49681,f153(x49681,x49682))
% 207.23/207.89 [5211]~P4(x52112)+~P4(x52111)+P4(f46(a1,x52111,x52112))
% 207.23/207.89 [4777]~P76(x47771)+~E(x47772,f2(x47771))+E(f327(f79(x47771),x47772),x47772)
% 207.23/207.89 [4792]~P142(x47921)+~E(x47922,f2(a1))+E(f327(f104(x47921),x47922),f2(x47921))
% 207.23/207.89 [4793]~P92(x47931)+~E(x47932,f2(a1))+E(f327(f104(x47931),x47932),f2(x47931))
% 207.23/207.89 [4817]~P74(x48171)+~E(f2(x48171),x48172)+E(f327(f79(x48171),x48172),f2(x48171))
% 207.23/207.89 [4818]~P74(x48181)+~E(x48182,f2(x48181))+E(f327(f79(x48181),x48182),f2(x48181))
% 207.23/207.89 [4819]~P84(x48191)+~E(x48192,f2(x48191))+E(f327(f75(x48191),x48192),f2(x48191))
% 207.23/207.89 [4843]~P76(x48432)+E(x48431,f2(x48432))+~E(f327(f79(x48432),x48431),x48431)
% 207.23/207.89 [4849]E(x48491,f327(a106,x48492))+~E(x48491,f2(a915))+~E(x48492,f327(f101(a1),x48491))
% 207.23/207.89 [4850]E(f327(a106,x48501),x48502)+~E(x48502,f2(a915))+~E(x48501,f327(f101(a1),x48502))
% 207.23/207.89 [4854]~P92(x48542)+E(x48541,f2(a1))+~E(f327(f104(x48542),x48541),f2(x48542))
% 207.23/207.89 [4858]~P74(x48582)+E(x48581,f2(x48582))+~E(f327(f79(x48582),x48581),f2(x48582))
% 207.23/207.89 [4859]~P84(x48592)+E(x48591,f2(x48592))+~E(f327(f75(x48592),x48591),f2(x48592))
% 207.23/207.89 [4860]~P74(x48601)+E(f2(x48601),x48602)+~E(f327(f79(x48601),x48602),f2(x48601))
% 207.23/207.89 [5043]~P108(x50431)+~P11(x50431,x50432)+P11(x50431,f327(f172(x50431),x50432))
% 207.23/207.89 [5070]~P1(x50702)+~P1(x50701)+P1(f327(f327(a325,x50701),x50702))
% 207.23/207.89 [5104]~E(f78(a915),f2(a915))+E(f327(f36(x51041),x51042),f2(a915))+~P1(f327(f35(x51041),x51042))
% 207.23/207.89 [5140]~P139(x51401)+~P116(x51401)+E(f327(f327(f244(x51401),f2(x51401)),f327(a113,x51402)),f2(x51401))
% 207.23/207.89 [5179]~P108(x51791)+P11(x51791,f140(x51791,x51792))+~P1(f327(f35(x51791),x51792))
% 207.23/207.89 [5180]~P108(x51801)+P11(x51801,f720(x51802,x51801))+~P1(f327(f35(x51801),x51802))
% 207.23/207.89 [5203]~P108(x52031)+E(f327(f173(x52031),f140(x52031,x52032)),x52032)+~P1(f327(f35(x52031),x52032))
% 207.23/207.89 [5204]~P108(x52041)+E(f327(f173(x52041),f720(x52042,x52041)),x52042)+~P1(f327(f35(x52041),x52042))
% 207.23/207.89 [5233]P1(x52331)+P1(x52332)+~P1(f327(f327(a326,x52332),x52331))
% 207.23/207.89 [5246]E(x52461,f190(f922(x52462,a910)))+~E(f327(f36(x52462),x52461),f2(a915))+~P1(f327(f35(x52462),x52461))
% 207.23/207.89 [5251]P1(x52511)+~P1(x52512)+~P1(f327(f327(a330,x52512),x52511))
% 207.23/207.89 [5301]~P73(x53011)+E(f327(f75(x53011),x53012),x53012)+P1(f327(f327(f235(x53011),x53012),f2(x53011)))
% 207.23/207.89 [5361]~P60(x53612)+~P1(f327(f57(x53612),x53611))+P1(f327(x53611,f721(x53611,x53612)))
% 207.23/207.89 [5362]~P60(x53622)+~P1(f327(f57(x53622),x53621))+P1(f327(x53621,f729(x53621,x53622)))
% 207.23/207.89 [5402]E(x54021,f114(x54022))+P1(f327(f138(x54022),f115(x54022,x54021)))+~P1(f327(f138(x54022),x54021))
% 207.23/207.89 [5407]~P108(x54071)+~P1(f327(f35(x54071),x54072))+P1(f327(f138(x54071),f140(x54071,x54072)))
% 207.23/207.89 [5408]~P108(x54081)+~P1(f327(f35(x54081),x54082))+P1(f327(f138(x54081),f720(x54082,x54081)))
% 207.23/207.89 [5413]~P142(x54131)+E(f327(f101(x54131),f327(a106,x54132)),f327(f104(x54131),x54132))+P1(f327(f327(f235(a1),x54132),f2(a1)))
% 207.23/207.89 [5440]P5(x54402,x54401)+E(f327(x54401,f486(x54401)),f327(x54401,f530(x54401)))+P1(f327(f327(x54401,f486(x54401)),f530(x54401)))
% 207.23/207.89 [5452]E(f327(f101(a1),f403(x54521,x54522)),x54521)+P1(f327(x54522,f327(a106,x54521)))+~P1(f327(x54522,f2(a915)))
% 207.23/207.89 [5465]~P60(x54651)+~P1(f327(x54652,f735(x54652,x54651)))+P1(f327(f58(x54651),x54652))
% 207.23/207.89 [5466]~P60(x54661)+~P1(f327(x54662,f744(x54662,x54661)))+P1(f327(f58(x54661),x54662))
% 207.23/207.89 [5501]~P119(x55011)+~E(f82(x55011,x55012),f327(f79(x55011),f78(x55011)))+P1(f327(f327(f235(x55011),x55012),f2(x55011)))
% 207.23/207.89 [5576]~E(x55762,f2(a1))+E(f217(x55761,x55762),f327(f327(f252(a1,a1),f2(a1)),f78(a1)))+P1(f327(f327(f235(a1),x55762),f2(a1)))
% 207.23/207.89 [5577]~E(x55771,f2(a1))+E(f217(x55771,x55772),f327(f327(f252(a1,a1),f2(a1)),f78(a1)))+P1(f327(f327(f235(a1),x55772),f2(a1)))
% 207.23/207.89 [5630]E(f327(f101(a1),f403(x56301,x56302)),x56301)+P1(f327(x56302,f327(a106,x56301)))+P1(f327(f327(f235(a1),x56301),f2(a1)))
% 207.23/207.89 [5699]~P119(x56991)+E(f82(x56991,x56992),f327(f79(x56991),f78(x56991)))+~P1(f327(f327(f235(x56991),x56992),f2(x56991)))
% 207.23/207.89 [5700]~P84(x57001)+E(f327(f75(x57001),x57002),f327(f79(x57001),x57002))+~P1(f327(f327(f234(x57001),x57002),f2(x57001)))
% 207.23/207.89 [5701]~P84(x57011)+E(f327(f75(x57011),x57012),f327(f79(x57011),x57012))+~P1(f327(f327(f235(x57011),x57012),f2(x57011)))
% 207.23/207.89 [5702]~P73(x57021)+E(f327(f75(x57021),x57022),f327(f79(x57021),x57022))+~P1(f327(f327(f235(x57021),x57022),f2(x57021)))
% 207.23/207.89 [5802]~P1(f327(x58021,f403(x58022,x58021)))+P1(f327(x58021,f327(a106,x58022)))+~P1(f327(x58021,f2(a915)))
% 207.23/207.89 [5809]E(x58091,f2(a915))+E(f327(a113,f362(x58092,x58091)),x58091)+~P1(f327(f327(f235(a915),x58091),f327(a113,x58092)))
% 207.23/207.89 [5813]P5(x58131,x58132)+~E(f327(x58132,f486(x58132)),f327(x58132,f530(x58132)))+~P1(f327(f327(x58132,f486(x58132)),f530(x58132)))
% 207.23/207.89 [5831]~P108(x58311)+P11(x58311,x58312)+P1(f327(f327(f234(a915),f704(x58312,x58311)),f705(x58312,x58311)))
% 207.23/207.89 [5832]~P108(x58321)+P11(x58321,x58322)+P1(f327(f327(f234(a915),f712(x58322,x58321)),f716(x58322,x58321)))
% 207.23/207.89 [5918]~P84(x59181)+~E(x59182,f2(x59181))+P1(f327(f327(f234(x59181),f327(f75(x59181),x59182)),f2(x59181)))
% 207.23/207.89 [6006]~P1(f327(x60061,f403(x60062,x60061)))+P1(f327(x60061,f327(a106,x60062)))+P1(f327(f327(f235(a1),x60062),f2(a1)))
% 207.23/207.89 [6031]~P1(f327(x60311,f327(a106,x60312)))+P1(f327(x60311,f2(a915)))+~P1(f327(f327(f235(a1),x60312),f2(a1)))
% 207.23/207.89 [6384]~P119(x63841)+~P1(f327(f327(f235(x63841),x63842),f2(x63841)))+P1(f327(f327(f235(x63841),f82(x63841,x63842)),f2(x63841)))
% 207.23/207.89 [6500]~P119(x65001)+P1(f327(f327(f234(x65001),f327(f104(x65001),x65002)),f2(x65001)))+~P1(f327(f327(f234(a1),x65002),f2(a1)))
% 207.23/207.89 [6501]~P119(x65011)+P1(f327(f327(f235(x65011),f327(f104(x65011),x65012)),f2(x65011)))+~P1(f327(f327(f235(a1),x65012),f2(a1)))
% 207.23/207.89 [6510]~P84(x65102)+E(x65101,f2(x65102))+~P1(f327(f327(f234(x65102),f327(f75(x65102),x65101)),f2(x65102)))
% 207.23/207.89 [6585]~P142(x65851)+~P1(f327(f327(f329(x65851),x65852),f111(x65851)))+P1(f327(f327(f329(x65851),f327(f79(x65851),x65852)),f111(x65851)))
% 207.23/207.89 [6617]~P119(x66171)+~P1(f327(f327(f235(x66171),f82(x66171,x66172)),f2(x66171)))+P1(f327(f327(f235(x66171),x66172),f2(x66171)))
% 207.23/207.89 [6790]~P119(x67902)+~P1(f327(f327(f234(x67902),f327(f104(x67902),x67901)),f2(x67902)))+P1(f327(f327(f234(a1),x67901),f2(a1)))
% 207.23/207.89 [6791]~P119(x67912)+~P1(f327(f327(f235(x67912),f327(f104(x67912),x67911)),f2(x67912)))+P1(f327(f327(f235(a1),x67911),f2(a1)))
% 207.23/207.89 [7299]~P76(x72991)+~P1(f327(f327(f234(x72991),x72992),f2(x72991)))+P1(f327(f327(f234(x72991),f327(f327(f80(x72991),x72992),x72992)),f2(x72991)))
% 207.23/207.89 [7300]~P119(x73001)+~P1(f327(f327(f235(x73001),x73002),f2(x73001)))+P1(f327(f327(f235(x73001),f327(f327(f80(x73001),x73002),x73002)),f2(x73001)))
% 207.23/207.89 [7301]~P76(x73011)+~P1(f327(f327(f235(x73011),x73012),f2(x73011)))+P1(f327(f327(f235(x73011),f327(f327(f80(x73011),x73012),x73012)),f2(x73011)))
% 207.23/207.89 [7869]~P76(x78691)+~P1(f327(f327(f234(x78691),f327(f327(f80(x78691),x78692),x78692)),f2(x78691)))+P1(f327(f327(f234(x78691),x78692),f2(x78691)))
% 207.23/207.89 [7870]~P119(x78701)+~P1(f327(f327(f235(x78701),f327(f327(f80(x78701),x78702),x78702)),f2(x78701)))+P1(f327(f327(f235(x78701),x78702),f2(x78701)))
% 207.23/207.89 [7871]~P76(x78711)+~P1(f327(f327(f235(x78711),f327(f327(f80(x78711),x78712),x78712)),f2(x78711)))+P1(f327(f327(f235(x78711),x78712),f2(x78711)))
% 207.23/207.89 [4895]~E(x48952,f2(a915))+~E(x48951,f2(a915))+E(f327(f327(f80(a915),x48951),x48952),f2(a915))
% 207.23/207.89 [4896]~E(x48962,f78(a915))+~E(x48961,f78(a915))+E(f327(f327(f81(a915),x48961),x48962),f78(a915))
% 207.23/207.89 [4897]~E(x48972,f78(a1))+~E(x48971,f78(a1))+E(f327(f327(f81(a1),x48971),x48972),f78(a1))
% 207.23/207.89 [4952]~P58(x49522)+E(x49521,f2(x49522))+E(f327(f327(f37(x49522),x49521),x49521),f78(x49522))
% 207.23/207.89 [4953]~P122(x49532)+E(x49531,f2(x49532))+E(f327(f327(f291(x49532),x49531),x49531),f78(x49532))
% 207.23/207.89 [4954]~P123(x49542)+E(x49541,f2(x49542))+E(f327(f327(f291(x49542),x49541),x49541),f78(x49542))
% 207.23/207.89 [4972]~P76(x49721)+~E(x49722,f2(x49721))+E(f327(f327(f80(x49721),x49722),x49722),f2(x49721))
% 207.23/207.89 [4975]~P141(x49751)+~E(x49752,f78(x49751))+E(f327(f327(f81(x49751),x49752),x49752),f78(x49751))
% 207.23/207.89 [4976]~P123(x49761)+~E(x49762,f2(x49761))+E(f327(f327(f291(x49761),x49762),x49762),f2(x49761))
% 207.23/207.89 [5021]~E(x50212,f2(a915))+~E(x50211,f2(a915))+E(f327(f79(a1),f327(f101(a1),x50211)),f327(f101(a1),x50212))
% 207.23/207.89 [5040]E(x50401,f78(a915))+E(x50402,f2(a915))+~E(f327(f327(f81(a915),x50402),x50401),x50402)
% 207.23/207.89 [5052]E(x50521,f2(a915))+E(x50522,f2(a915))+~E(f327(f327(f81(a915),x50522),x50521),f2(a915))
% 207.23/207.89 [5079]~E(x50792,f2(a915))+~E(x50791,f327(a113,f2(a915)))+E(f327(f327(f80(a915),x50791),x50792),f327(a113,f2(a915)))
% 207.23/207.89 [5080]~E(x50801,f2(a915))+~E(x50802,f327(a113,f2(a915)))+E(f327(f327(f80(a915),x50801),x50802),f327(a113,f2(a915)))
% 207.23/207.89 [5087]E(x50871,f78(a1))+E(x50872,f327(f105(a1),a98))+~E(f327(f327(f81(a1),x50871),x50872),f78(a1))
% 207.23/207.89 [5088]E(x50881,f78(a1))+E(x50882,f327(f105(a1),a98))+~E(f327(f327(f81(a1),x50882),x50881),f78(a1))
% 207.23/207.89 [5089]E(x50891,f78(a1))+E(x50891,f327(f105(a1),a98))+~E(f327(f327(f81(a1),x50892),x50891),f78(a1))
% 207.23/207.89 [5091]E(x50911,f78(a1))+E(x50911,f327(f105(a1),a98))+~E(f327(f327(f81(a1),x50911),x50912),f78(a1))
% 207.23/207.89 [5112]~P76(x51122)+E(x51121,f2(x51122))+~E(f327(f327(f80(x51122),x51121),x51121),f2(x51122))
% 207.23/207.89 [5118]~E(x51181,f327(f105(a1),a98))+~E(x51182,f327(f105(a1),a98))+E(f327(f327(f81(a1),x51181),x51182),f78(a1))
% 207.23/207.89 [5129]E(x51291,f2(a915))+E(x51292,f2(a915))+~E(f327(f327(f80(a915),x51292),x51291),f327(a113,f2(a915)))
% 207.23/207.89 [5139]~P61(x51391)+~P93(x51391)+E(f327(f327(f291(x51391),x51392),f327(f105(x51391),a83)),f2(x51391))
% 207.23/207.89 [5145]~P141(x51451)+~E(x51452,f327(f79(x51451),f78(x51451)))+E(f327(f327(f81(x51451),x51452),x51452),f78(x51451))
% 207.23/207.89 [5150]~P4(x51502)+~P4(x51501)+P4(f327(f327(f80(a1),x51501),x51502))
% 207.23/207.89 [5151]~P4(x51512)+~P4(x51511)+P4(f327(f327(f81(a1),x51511),x51512))
% 207.23/207.89 [5152]~P4(x51522)+~P4(x51521)+P4(f327(f327(f37(a1),x51521),x51522))
% 207.23/207.89 [5154]~E(x51542,f2(a1))+E(x51541,f2(a1))+E(f47(x51541,x51542),f327(f327(f252(a1,a1),f2(a1)),x51541))
% 207.23/207.89 [5177]~E(x51772,f327(a113,f2(a915)))+~E(x51771,f327(a113,f2(a915)))+E(f327(f327(f81(a915),x51771),x51772),f327(a113,f2(a915)))
% 207.23/207.89 [5194]E(x51941,f2(a915))+E(x51942,f327(a113,f2(a915)))+~E(f327(f327(f244(a915),x51942),x51941),f327(a113,f2(a915)))
% 207.23/207.89 [5195]E(x51951,f2(a915))+E(x51951,f327(a113,f2(a915)))+~E(f327(f327(f80(a915),x51952),x51951),f327(a113,f2(a915)))
% 207.23/207.89 [5196]E(x51961,f2(a915))+E(x51961,f327(a113,f2(a915)))+~E(f327(f327(f80(a915),x51961),x51962),f327(a113,f2(a915)))
% 207.23/207.89 [5205]~P61(x52051)+~P93(x52051)+E(f327(f327(f291(x52051),x52052),f327(f105(x52051),a98)),f327(f79(x52051),x52052))
% 207.23/207.89 [5225]E(x52251,f327(a106,x52252))+~E(x52251,f2(a915))+P1(f327(f327(f234(a1),f2(a1)),x52252))
% 207.23/207.89 [5226]E(f327(a106,x52261),x52262)+~E(x52262,f2(a915))+P1(f327(f327(f234(a1),f2(a1)),x52261))
% 207.23/207.89 [5242]E(x52421,f327(a113,f2(a915)))+E(x52422,f327(a113,f2(a915)))+~E(f327(f327(f80(a915),x52421),x52422),f327(a113,f2(a915)))
% 207.23/207.89 [5253]~E(x52531,f327(a106,x52532))+E(x52531,f2(a915))+P1(f327(f327(f234(a1),f2(a1)),x52532))
% 207.23/207.89 [5254]~E(f327(a106,x52542),x52541)+E(x52541,f2(a915))+P1(f327(f327(f234(a1),f2(a1)),x52542))
% 207.23/207.89 [5276]~P108(x52761)+E(f327(f63(x52761,f189(x52761)),x52762),f14(x52761,x52762))+~P1(f327(f35(x52761),x52762))
% 207.23/207.89 [5277]~P108(x52771)+E(f327(f63(x52771,f238(x52771)),x52772),f15(x52771,x52772))+~P1(f327(f35(x52771),x52772))
% 207.23/207.89 [5278]~P96(x52781)+E(f327(f63(x52781,f102(x52781)),x52782),f13(x52781,x52782))+~P1(f327(f35(x52781),x52782))
% 207.23/207.89 [5279]~P96(x52791)+E(f327(f63(x52791,f103(x52791)),x52792),f10(x52791,x52792))+~P1(f327(f35(x52791),x52792))
% 207.23/207.89 [5356]E(x53561,x53562)+~E(f327(f327(f23(a915),x53562),x53561),f2(a915))+~E(f327(f327(f23(a915),x53561),x53562),f2(a915))
% 207.23/207.89 [5373]P4(x53731)+~P38(x53732)+~P1(f327(f327(f329(a1),x53731),x53732))
% 207.23/207.89 [5403]~P119(x54031)+~E(f82(x54031,x54032),f78(x54031))+P1(f327(f327(f235(x54031),f2(x54031)),x54032))
% 207.23/207.89 [5414]~P93(x54141)+E(f327(f101(x54141),f327(f105(a915),x54142)),f327(f105(x54141),x54142))+P1(f327(a195,f327(f105(a1),x54142)))
% 207.23/207.89 [5419]~P42(x54191,x54192)+P43(a910)+P1(f327(f35(f921(x54191,x54191)),x54192))
% 207.23/207.89 [5493]~P108(x54931)+E(f327(f63(x54931,f189(x54931)),x54932),f11(x54931,f189(x54931),x54932))+~P1(f327(f35(x54931),x54932))
% 207.23/207.89 [5494]~P108(x54941)+E(f327(f63(x54941,f238(x54941)),x54942),f12(x54941,f238(x54941),x54942))+~P1(f327(f35(x54941),x54942))
% 207.23/207.89 [5508]E(x55081,x55082)+P1(f327(f327(f235(a915),x55082),x55081))+P1(f327(f327(f235(a915),x55081),x55082))
% 207.23/207.89 [5509]E(x55091,x55092)+P1(f327(f327(f235(a1),x55092),x55091))+P1(f327(f327(f235(a1),x55091),x55092))
% 207.23/207.89 [5563]~P93(x55631)+E(f327(f101(x55631),f327(f105(a915),x55632)),f2(x55631))+~P1(f327(a195,f327(f105(a1),x55632)))
% 207.23/207.89 [5566]~E(x55662,f327(a106,x55661))+E(x55661,f327(f101(a1),x55662))+~P1(f327(f327(f234(a1),f2(a1)),x55661))
% 207.23/207.89 [5567]~E(f327(a106,x55671),x55672)+E(x55671,f327(f101(a1),x55672))+~P1(f327(f327(f234(a1),f2(a1)),x55671))
% 207.23/207.89 [5568]~E(x55681,f327(a106,x55682))+E(f327(f101(a1),x55681),x55682)+~P1(f327(f327(f234(a1),f2(a1)),x55682))
% 207.23/207.89 [5578]E(x55781,f327(a106,x55782))+~E(x55782,f327(f101(a1),x55781))+~P1(f327(f327(f234(a1),f2(a1)),x55782))
% 207.23/207.89 [5579]E(f327(a106,x55791),x55792)+~E(x55791,f327(f101(a1),x55792))+~P1(f327(f327(f234(a1),f2(a1)),x55791))
% 207.23/207.89 [5610]~P112(x56102)+E(x56101,f2(x56102))+~P1(f327(f327(f287(x56102),f2(x56102)),x56101))
% 207.23/207.89 [5621]~P84(x56212)+E(x56211,f2(x56212))+P1(f327(f327(f235(x56212),f2(x56212)),f327(f75(x56212),x56211)))
% 207.23/207.89 [5686]~P119(x56861)+E(f82(x56861,x56862),f78(x56861))+~P1(f327(f327(f235(x56861),f2(x56861)),x56862))
% 207.23/207.89 [5692]~P93(x56921)+E(f327(f101(x56921),f327(f105(a915),x56922)),f2(x56921))+P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x56922)))
% 207.23/207.89 [5703]~P84(x57031)+E(f327(f75(x57031),x57032),x57032)+~P1(f327(f327(f234(x57031),f2(x57031)),x57032))
% 207.23/207.89 [5704]~P84(x57041)+E(f327(f75(x57041),x57042),x57042)+~P1(f327(f327(f235(x57041),f2(x57041)),x57042))
% 207.23/207.89 [5713]E(x57131,f2(a915))+~E(f140(a915,f327(f302(a915,x57132),x57131)),f114(a915))+P1(f327(f327(f234(a915),x57131),x57132))
% 207.23/207.89 [5723]~P68(x57231)+E(f327(f327(f6(x57231,x57231),f5(x57231)),f327(f173(x57231),x57232)),f327(f166(x57231),x57232))+~P1(f327(f138(x57231),x57232))
% 207.23/207.89 [5726]~P142(x57261)+E(f327(f101(x57261),f327(a106,x57262)),f327(f104(x57261),x57262))+~P1(f327(f327(f234(a1),f2(a1)),x57262))
% 207.23/207.89 [5753]E(x57531,x57532)+P1(f327(f327(f235(a915),x57531),x57532))+~P1(f327(f327(f234(a915),x57531),x57532))
% 207.23/207.89 [5754]E(x57541,x57542)+P1(f327(f327(f235(a1),x57541),x57542))+~P1(f327(f327(f234(a1),x57541),x57542))
% 207.23/207.89 [5757]E(x57571,f78(a1))+~E(f327(f327(f81(a1),x57572),x57571),f78(a1))+~P1(f327(f327(f235(a1),f2(a1)),x57572))
% 207.23/207.89 [5758]E(x57581,f78(a1))+~E(f327(f327(f81(a1),x57581),x57582),f78(a1))+~P1(f327(f327(f235(a1),f2(a1)),x57581))
% 207.23/207.89 [5799]~P38(x57992)+P1(f327(f327(f234(a1),f2(a1)),x57991))+~P1(f327(f327(f329(a1),x57991),x57992))
% 207.23/207.89 [5818]~P55(x58181,x58182)+P35(x58181,x58182)+~P1(f327(f35(f921(x58181,x58181)),x58182))
% 207.23/207.89 [5820]~P55(x58201,x58202)+P42(x58201,x58202)+~P1(f327(f35(f921(x58201,x58201)),x58202))
% 207.23/207.89 [5862]E(x58621,f190(f922(x58622,a910)))+~P1(f327(f35(x58622),x58621))+P1(f327(f327(f235(a915),f2(a915)),f327(f36(x58622),x58621)))
% 207.23/207.89 [5889]~P1(f327(x58891,x58892))+P1(f327(x58891,f2(a915)))+P1(f327(f327(f235(a915),f449(x58892,x58891)),x58892))
% 207.23/207.89 [5912]E(x59121,f2(a915))+~E(f327(f166(a915),x59122),f2(a915))+~P1(f327(f327(f329(a915),x59121),f327(f173(a915),x59122)))
% 207.23/207.89 [5980]E(x59801,x59802)+~P1(f327(f327(f234(a915),x59802),x59801))+~P1(f327(f327(f234(a915),x59801),x59802))
% 207.23/207.89 [5981]E(x59811,x59812)+~P1(f327(f327(f234(a1),x59812),x59811))+~P1(f327(f327(f234(a1),x59811),x59812))
% 207.23/207.89 [5983]E(f327(f36(x59831),x59832),f2(a915))+~P1(f327(f35(x59831),x59832))+P1(f327(f327(f329(x59831),f487(x59832,x59831)),x59832))
% 207.23/207.89 [5992]E(f51(x59921,x59922),f47(x59921,x59922))+P1(f327(f327(f234(a1),f2(a1)),x59921))+~P1(f327(f327(f235(a1),f2(a1)),x59922))
% 207.23/207.89 [6018]~P1(f327(x60181,f391(x60181)))+P1(f327(x60181,f327(a106,x60182)))+~P1(f327(f327(f234(a1),f2(a1)),x60182))
% 207.23/207.89 [6021]P1(f327(f327(f234(a915),x60211),f883(x60212)))+~P1(f327(f35(a915),x60212))+~P1(f327(f327(f329(a915),x60211),x60212))
% 207.23/207.89 [6022]P1(f327(f327(f235(a915),x60221),f885(x60222)))+~P1(f327(f35(a915),x60222))+~P1(f327(f327(f329(a915),x60221),x60222))
% 207.23/207.89 [6053]E(x60531,x60532)+~P1(f327(f327(f235(a915),x60531),f327(a113,x60532)))+P1(f327(f327(f235(a915),x60531),x60532))
% 207.23/207.89 [6089]E(x60891,f327(a113,x60892))+~P1(f327(f327(f234(a915),x60891),f327(a113,x60892)))+P1(f327(f327(f234(a915),x60891),x60892))
% 207.23/207.89 [6105]P1(f327(x61051,f404(x61051)))+~P1(f327(x61051,f327(a106,x61052)))+~P1(f327(f327(f234(a1),f2(a1)),x61052))
% 207.23/207.89 [6121]~P1(f327(x61211,x61212))+~P1(f327(f327(f234(a1),f2(a1)),x61212))+P1(f327(x61211,f327(f101(a1),f386(x61211))))
% 207.23/207.89 [6132]~P84(x61322)+~E(x61321,f2(x61322))+~P1(f327(f327(f235(x61322),f2(x61322)),f327(f75(x61322),x61321)))
% 207.23/207.89 [6157]~P55(x61571,x61572)+P35(x61571,f327(f286(x61571,x61571),x61572))+~P1(f327(f35(f921(x61571,x61571)),x61572))
% 207.23/207.89 [6166]~P93(x61661)+E(f327(f101(x61661),f327(f105(a915),x61662)),f327(f105(x61661),x61662))+~P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x61662)))
% 207.23/207.89 [6169]E(f327(a113,x61691),x61692)+~P1(f327(f327(f235(a915),x61691),x61692))+P1(f327(f327(f235(a915),f327(a113,x61691)),x61692))
% 207.23/207.89 [6185]E(f327(f327(f37(a1),x61851),x61852),f2(a1))+~P1(f327(f327(f234(a1),x61851),f2(a1)))+~P1(f327(f327(f235(a1),x61852),x61851))
% 207.23/207.89 [6196]E(f46(a1,x61961,x61962),x61961)+~P1(f327(f327(f234(a1),x61961),f2(a1)))+~P1(f327(f327(f235(a1),x61962),x61961))
% 207.23/207.89 [6210]E(f48(x62101,x62102),f47(x62101,x62102))+~P1(f327(f327(f234(a1),f2(a1)),x62101))+~P1(f327(f327(f234(a1),f2(a1)),x62102))
% 207.23/207.89 [6220]E(f327(f327(f37(a1),x62201),x62202),f2(a1))+~P1(f327(f327(f234(a1),f2(a1)),x62201))+~P1(f327(f327(f235(a1),x62201),x62202))
% 207.23/207.89 [6234]E(f46(a915,f327(f105(a915),x62341),f327(f105(a915),x62342)),f327(f105(a915),x62341))+P1(f327(a195,f327(f105(a1),x62341)))+~P1(f327(a195,f327(f105(a1),x62342)))
% 207.23/207.89 [6236]E(f46(a1,x62361,x62362),x62361)+~P1(f327(f327(f234(a1),f2(a1)),x62361))+~P1(f327(f327(f235(a1),x62361),x62362))
% 207.23/207.89 [6237]E(x62371,x62372)+~P1(f327(f327(f235(a915),x62371),f327(a113,x62372)))+~P1(f327(f327(f234(a915),x62372),x62371))
% 207.23/207.89 [6251]~P76(x62511)+~P1(f327(f327(f234(x62511),x62512),f2(x62511)))+P1(f327(f327(f234(x62511),x62512),f327(f79(x62511),x62512)))
% 207.23/207.89 [6252]~P119(x62521)+~P1(f327(f327(f235(x62521),x62522),f2(x62521)))+P1(f327(f327(f235(x62521),x62522),f327(f79(x62521),x62522)))
% 207.23/207.89 [6262]~P3(x62621)+E(f327(f327(f64(x62621,x62621,f103(x62621)),f242(x62621)),x62622),f39(x62621,x62622))+~P1(f327(f35(x62621),x62622))
% 207.23/207.89 [6263]~P3(x62631)+E(f327(f327(f64(x62631,x62631,f102(x62631)),f190(x62631)),x62632),f38(x62631,x62632))+~P1(f327(f35(x62631),x62632))
% 207.23/207.89 [6280]~P119(x62801)+~P1(f327(f327(f234(a1),f2(a1)),x62802))+P1(f327(f327(f234(x62801),f2(x62801)),f327(f104(x62801),x62802)))
% 207.23/207.89 [6281]~P126(x62811)+~P1(f327(f327(f235(a915),f2(a915)),x62812))+P1(f327(f327(f235(x62811),f2(x62811)),f327(f101(x62811),x62812)))
% 207.23/207.89 [6282]~P119(x62821)+~P1(f327(f327(f235(a1),f2(a1)),x62822))+P1(f327(f327(f235(x62821),f2(x62821)),f327(f104(x62821),x62822)))
% 207.23/207.89 [6285]~P4(x62852)+~P4(x62851)+E(f327(f310(a915,a1,f101(a1)),f303(a915,f327(a106,x62851),f327(a106,x62852))),f303(a1,x62851,x62852))
% 207.23/207.89 [6291]P1(f327(x62911,x62912))+~P1(f327(f327(f234(a1),f2(a1)),x62912))+~P1(f327(x62911,f327(f101(a1),f387(x62911))))
% 207.23/207.89 [6322]E(f327(f327(f80(a915),f327(f105(a915),x63221)),f327(f105(a915),x63222)),f327(f105(a915),x63221))+P1(f327(f327(f235(a1),x63221),a83))+~P1(f327(f327(f235(a1),x63222),a83))
% 207.23/207.89 [6326]~P119(x63261)+P1(f327(f327(f235(x63261),f2(x63261)),f82(x63261,x63262)))+~P1(f327(f327(f235(x63261),f2(x63261)),x63262))
% 207.23/207.89 [6339]~P78(x63391)+~P1(f327(f327(f234(x63391),x63392),f2(x63391)))+P1(f327(f327(f234(x63391),f2(x63391)),f327(f79(x63391),x63392)))
% 207.23/207.89 [6340]~P78(x63401)+~P1(f327(f327(f235(x63401),x63402),f2(x63401)))+P1(f327(f327(f235(x63401),f2(x63401)),f327(f79(x63401),x63402)))
% 207.23/207.89 [6343]E(x63431,f242(f922(x63432,a910)))+~E(f327(f36(x63432),x63431),f327(f36(x63432),f242(f922(x63432,a910))))+~P1(f327(f35(x63432),f242(f922(x63432,a910))))
% 207.23/207.89 [6369]~P1(f327(f327(f235(a915),f2(a915)),x63692))+~P1(f327(f327(f287(a915),x63691),x63692))+P1(f327(f327(f234(a915),x63691),x63692))
% 207.23/207.89 [6376]~P76(x63761)+P1(f327(f327(f234(x63761),x63762),f2(x63761)))+~P1(f327(f327(f234(x63761),x63762),f327(f79(x63761),x63762)))
% 207.23/207.89 [6377]~P119(x63771)+P1(f327(f327(f235(x63771),x63772),f2(x63771)))+~P1(f327(f327(f235(x63771),x63772),f327(f79(x63771),x63772)))
% 207.23/207.89 [6386]~P93(x63861)+P1(f327(f327(f329(x63861),f327(f105(x63861),x63862)),f187(x63861)))+~P1(f327(f327(f234(a1),a83),x63862))
% 207.23/207.89 [6415]E(x64151,f2(a915))+~P1(f327(f327(f235(a915),x64151),f327(a113,x64152)))+P1(f327(f327(f235(a915),f362(x64152,x64151)),x64152))
% 207.23/207.89 [6438]~P119(x64381)+~P1(f327(f327(f235(x64381),f2(x64381)),f82(x64381,x64382)))+P1(f327(f327(f235(x64381),f2(x64381)),x64382))
% 207.23/207.89 [6440]~E(f327(f105(a915),x64402),f327(f105(a915),x64401))+P1(f327(f327(f234(a1),f327(f105(a1),x64401)),f2(a1)))+~P1(f327(a195,f327(f105(a1),x64402)))
% 207.23/207.89 [6469]E(f327(f251(a1,a1),f51(x64691,x64692)),f327(f327(f37(a1),x64691),x64692))+~P1(f327(f327(f235(a1),x64691),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x64692))
% 207.23/207.89 [6508]E(f327(f256(a1,a1),f51(x65081,x65082)),f46(a1,x65081,x65082))+~P1(f327(f327(f235(a1),x65081),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x65082))
% 207.23/207.89 [6511]~P119(x65112)+~P1(f327(f327(f234(x65112),f2(x65112)),f327(f104(x65112),x65111)))+P1(f327(f327(f234(a1),f2(a1)),x65111))
% 207.23/207.89 [6512]~P126(x65122)+~P1(f327(f327(f235(x65122),f2(x65122)),f327(f101(x65122),x65121)))+P1(f327(f327(f235(a915),f2(a915)),x65121))
% 207.23/207.89 [6513]~P119(x65132)+~P1(f327(f327(f235(x65132),f2(x65132)),f327(f104(x65132),x65131)))+P1(f327(f327(f235(a1),f2(a1)),x65131))
% 207.23/207.89 [6516]E(f327(f251(a1,a1),f48(x65161,x65162)),f327(f327(f37(a1),x65161),x65162))+~P1(f327(f327(f234(a1),f2(a1)),x65162))+~P1(f327(f327(f235(a1),f2(a1)),x65161))
% 207.23/207.89 [6530]E(f327(f256(a1,a1),f48(x65301,x65302)),f46(a1,x65301,x65302))+~P1(f327(f327(f234(a1),f2(a1)),x65302))+~P1(f327(f327(f235(a1),f2(a1)),x65301))
% 207.23/207.89 [6546]~P78(x65461)+P1(f327(f327(f234(x65461),x65462),f2(x65461)))+~P1(f327(f327(f234(x65461),f2(x65461)),f327(f79(x65461),x65462)))
% 207.23/207.89 [6547]~P78(x65471)+P1(f327(f327(f235(x65471),x65472),f2(x65471)))+~P1(f327(f327(f235(x65471),f2(x65471)),f327(f79(x65471),x65472)))
% 207.23/207.89 [6573]P1(f327(f50(x65731,x65732),f51(x65731,x65732)))+~P1(f327(f327(f235(a1),x65731),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x65732))
% 207.23/207.89 [6597]P1(f327(f50(x65971,x65972),f48(x65971,x65972)))+~P1(f327(f327(f234(a1),f2(a1)),x65971))+~P1(f327(f327(f235(a1),f2(a1)),x65972))
% 207.23/207.89 [6640]~P78(x66401)+P1(f327(f327(f234(x66401),f327(f79(x66401),x66402)),f2(x66401)))+~P1(f327(f327(f234(x66401),f2(x66401)),x66402))
% 207.23/207.89 [6641]~P78(x66411)+P1(f327(f327(f235(x66411),f327(f79(x66411),x66412)),f2(x66411)))+~P1(f327(f327(f235(x66411),f2(x66411)),x66412))
% 207.23/207.89 [6659]E(f327(f327(f23(a915),f327(a106,x66591)),f327(a106,x66592)),f327(a106,f196(x66591,x66592)))+~P1(f327(f327(f234(a1),f2(a1)),x66592))+~P1(f327(f327(f234(a1),f2(a1)),x66591))
% 207.23/207.89 [6677]P1(f327(f327(f234(a1),f2(a1)),f196(x66771,x66772)))+~P1(f327(f327(f234(a1),f2(a1)),x66772))+~P1(f327(f327(f234(a1),f2(a1)),x66771))
% 207.23/207.89 [6714]~P1(f327(x67141,x67142))+P1(f327(x67141,f2(a915)))+P1(f327(x67141,f327(f327(f80(a915),f449(x67142,x67141)),f78(a915))))
% 207.23/207.89 [6797]E(f327(f105(a915),x67971),f327(f105(a915),x67972))+~P1(f327(f327(f234(a1),f327(f105(a1),x67972)),f2(a1)))+~P1(f327(a195,f327(f105(a1),x67971)))
% 207.23/207.89 [6809]~E(x68091,f2(a915))+~E(f671(x68092,x68091),f2(a915))+E(f327(f143(a915,a915,f80(a915),x68091),x68092),f2(a915))
% 207.23/207.89 [6833]~P1(f327(f35(x68331),f463(x68332,x68331)))+~P1(f327(f35(f922(x68331,a910)),x68332))+P1(f327(f35(x68331),f38(f922(x68331,a910),x68332)))
% 207.23/207.89 [6839]E(x68391,x68392)+P1(f327(f327(f235(a1),x68391),x68392))+~P1(f327(f327(f235(a1),x68391),f327(f327(f80(a1),x68392),f78(a1))))
% 207.23/207.89 [6840]P1(f327(f327(f234(a915),f327(a106,x68401)),f327(a106,x68402)))+~P1(f327(f327(f234(a1),f2(a1)),x68402))+~P1(f327(f327(f234(a1),x68401),x68402))
% 207.23/207.89 [6841]P1(f327(f327(f234(a915),f327(a106,x68411)),f327(a106,x68412)))+~P1(f327(f327(f235(a1),f2(a1)),x68411))+~P1(f327(f327(f234(a1),x68411),x68412))
% 207.23/207.89 [6843]P1(f327(f327(f235(a915),f327(a106,x68431)),f327(a106,x68432)))+~P1(f327(f327(f234(a1),f2(a1)),x68431))+~P1(f327(f327(f235(a1),x68431),x68432))
% 207.23/207.89 [6844]P1(f327(f327(f235(a915),f327(a106,x68441)),f327(a106,x68442)))+~P1(f327(f327(f235(a1),f2(a1)),x68442))+~P1(f327(f327(f235(a1),x68441),x68442))
% 207.23/207.89 [6855]E(f46(a915,f327(a106,x68551),f327(a106,x68552)),f327(a106,f46(a1,x68551,x68552)))+~P1(f327(f327(f234(a1),f2(a1)),x68552))+~P1(f327(f327(f234(a1),f2(a1)),x68551))
% 207.23/207.89 [6879]~P78(x68791)+~P1(f327(f327(f234(x68791),f327(f79(x68791),x68792)),f2(x68791)))+P1(f327(f327(f234(x68791),f2(x68791)),x68792))
% 207.23/207.89 [6880]~P78(x68801)+~P1(f327(f327(f235(x68801),f327(f79(x68801),x68802)),f2(x68801)))+P1(f327(f327(f235(x68801),f2(x68801)),x68802))
% 207.23/207.89 [6894]~P1(f327(f327(f235(a1),a83),x68942))+~P1(f327(f327(f235(a1),x68941),x68942))+P1(f327(f327(f235(a915),f327(f105(a915),x68941)),f327(f105(a915),x68942)))
% 207.23/207.89 [6986]~P1(f327(f327(f234(a1),f2(a1)),x69861))+P1(f327(f327(f235(a915),f327(a106,x69861)),x69862))+~P1(f327(f327(f235(a1),x69861),f327(f101(a1),x69862)))
% 207.23/207.89 [6991]P1(f327(x69911,x69912))+~P1(f327(x69911,f327(a20,f812(x69911,x69912))))+~P1(f327(f327(f329(a915),x69912),f242(f922(a915,a910))))
% 207.23/207.89 [7002]E(x70021,f2(a1))+E(f46(a1,x70022,x70021),f2(a1))+E(f327(f327(f23(a1),f327(f79(a1),f327(f327(f37(a1),x70022),x70021))),f78(a1)),f327(f327(f37(a1),x70022),f327(f79(a1),x70021)))
% 207.23/207.89 [7016]~P1(f327(f327(f234(a1),f2(a1)),x70161))+~P1(f327(f327(f235(a915),f327(a106,x70161)),x70162))+P1(f327(f327(f235(a1),x70161),f327(f101(a1),x70162)))
% 207.23/207.89 [7052]~P1(f327(f327(f234(a915),f327(a106,x70521)),f327(a106,x70522)))+~P1(f327(f327(f234(a1),f2(a1)),x70522))+P1(f327(f327(f234(a1),x70521),x70522))
% 207.23/207.89 [7053]~P1(f327(f327(f234(a915),f327(a106,x70531)),f327(a106,x70532)))+~P1(f327(f327(f235(a1),f2(a1)),x70531))+P1(f327(f327(f234(a1),x70531),x70532))
% 207.23/207.89 [7083]P1(f327(f327(f234(a1),x70831),x70832))+~P1(f327(f327(f234(a915),f327(f105(a915),x70831)),f327(f105(a915),x70832)))+P1(f327(f327(f234(a1),x70831),a83))
% 207.23/207.89 [7109]P1(f327(f327(f234(a1),f2(a1)),f46(a1,x71091,x71092)))+~P1(f327(f327(f234(a1),f2(a1)),x71092))+~P1(f327(f327(f234(a1),f2(a1)),x71091))
% 207.23/207.89 [7207]P1(f327(f327(f235(a1),a83),x72071))+~P1(f327(f327(f235(a1),x72072),x72071))+~P1(f327(f327(f235(a915),f327(f105(a915),x72072)),f327(f105(a915),x72071)))
% 207.23/207.89 [7261]E(f327(f327(f252(a1,a1),f327(f327(f37(a1),x72611),x72612)),f46(a1,x72611,x72612)),f51(x72611,x72612))+~P1(f327(f327(f235(a1),x72611),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x72612))
% 207.23/207.89 [7281]E(f327(f327(f252(a1,a1),f327(f327(f37(a1),x72811),x72812)),f46(a1,x72811,x72812)),f48(x72811,x72812))+~P1(f327(f327(f234(a1),f2(a1)),x72812))+~P1(f327(f327(f234(a1),f2(a1)),x72811))
% 207.23/207.89 [7335]~P95(x73352)+E(x73351,f114(x73352))+E(f327(f143(x73352,x73352,f81(x73352),f327(f142(x73352),x73351)),f327(f172(x73352),x73351)),f327(f63(x73352,f81(x73352)),f327(f173(x73352),x73351)))
% 207.23/207.89 [7452]~E(x74521,f2(a915))+E(f327(f143(a915,a915,f80(a915),x74521),x74522),f2(a915))+P1(f327(f327(f329(a915),f671(x74522,x74521)),f327(f173(a915),x74522)))
% 207.23/207.89 [7505]~P1(f327(f327(f234(a1),x75051),f2(a1)))+P1(f327(f327(f234(a1),f327(f327(f37(a1),x75051),x75052)),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x75052))
% 207.23/207.89 [7506]~P1(f327(f327(f235(a1),x75062),f2(a1)))+P1(f327(f327(f234(a1),f327(f327(f37(a1),x75061),x75062)),f2(a1)))+~P1(f327(f327(f234(a1),f2(a1)),x75061))
% 207.23/207.89 [7507]~P1(f327(f327(f235(a1),x75072),f2(a1)))+P1(f327(f327(f235(a1),f327(f327(f37(a1),x75071),x75072)),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x75071))
% 207.23/207.89 [7509]~P1(f327(f327(f235(a1),x75091),f2(a1)))+P1(f327(f327(f235(a1),f327(f327(f37(a1),x75091),x75092)),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x75092))
% 207.23/207.89 [7515]P1(f327(f327(f329(f922(x75151,a910)),f463(x75152,x75151)),x75152))+~P1(f327(f35(f922(x75151,a910)),x75152))+P1(f327(f35(x75151),f38(f922(x75151,a910),x75152)))
% 207.23/207.89 [7603]P23(x76031,x76031,x76032,f242(f922(x76031,a910)))+~E(f327(f310(x76031,x76031,x76032),f242(f922(x76031,a910))),f242(f922(x76031,a910)))+~P1(f327(f35(x76031),f242(f922(x76031,a910))))
% 207.23/207.89 [7723]~P23(x77231,x77231,x77232,f242(f922(x77231,a910)))+E(f327(f310(x77231,x77231,x77232),f242(f922(x77231,a910))),f242(f922(x77231,a910)))+~P1(f327(f35(x77231),f242(f922(x77231,a910))))
% 207.23/207.89 [7863]E(f327(f327(f37(a1),x78631),x78632),f327(f105(a1),a98))+~P1(f327(f327(f234(a1),f327(f327(f80(a1),x78631),x78632)),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x78631))
% 207.23/207.89 [7919]~P1(f327(f327(f235(a1),x79192),f2(a1)))+~P1(f327(f327(f235(a1),f327(f327(f37(a1),x79191),x79192)),f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x79191))
% 207.23/207.89 [7924]E(f327(f327(f80(a1),x79241),x79242),f46(a1,x79241,x79242))+~P1(f327(f327(f234(a1),f327(f327(f80(a1),x79241),x79242)),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x79241))
% 207.23/207.89 [7927]P1(f327(f327(f235(a1),x79271),f2(a1)))+~P1(f327(f327(f235(a1),f327(f327(f37(a1),x79271),x79272)),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x79272))
% 207.23/207.89 [8620]~P108(x86201)+P11(x86201,x86202)+~P1(f327(f327(f234(x86201),f327(f327(f165(x86201),x86202),f704(x86202,x86201))),f327(f327(f165(x86201),x86202),f705(x86202,x86201))))
% 207.23/207.89 [8621]~P108(x86211)+P11(x86211,x86212)+~P1(f327(f327(f234(x86211),f327(f327(f165(x86211),x86212),f712(x86212,x86211))),f327(f327(f165(x86211),x86212),f716(x86212,x86211))))
% 207.23/207.89 [5855]E(x58551,f2(a1))+~E(f46(a1,x58552,x58551),f2(a1))+E(f327(f327(f37(a1),x58552),f327(f79(a1),x58551)),f327(f79(a1),f327(f327(f37(a1),x58552),x58551)))
% 207.23/207.89 [5873]~P38(x58732)+~P38(x58731)+P38(f327(f327(f102(f922(a1,a910)),x58731),x58732))
% 207.23/207.89 [5874]~P38(x58742)+~P38(x58741)+P38(f327(f327(f103(f922(a1,a910)),x58741),x58742))
% 207.23/207.89 [5892]~P61(x58921)+~P93(x58921)+E(f327(f79(x58921),f327(f327(f291(x58921),f78(x58921)),x58922)),f327(f327(f291(x58921),f327(f105(x58921),a98)),x58922))
% 207.23/207.89 [6010]E(x60101,f2(a1))+~E(f46(a1,x60102,x60101),f2(a1))+E(f327(f327(f37(a1),f327(f79(a1),x60102)),x60101),f327(f79(a1),f327(f327(f37(a1),x60102),x60101)))
% 207.23/207.89 [6151]~P108(x61511)+P11(x61511,x61512)+P1(f327(f327(f235(a915),f705(x61512,x61511)),f327(f191(f916(x61511)),x61512)))
% 207.23/207.89 [6152]~P108(x61521)+P11(x61521,x61522)+P1(f327(f327(f235(a915),f716(x61522,x61521)),f327(f191(f916(x61521)),x61522)))
% 207.23/207.89 [6316]~P93(x63161)+~E(f327(f105(x63161),x63162),f2(x63161))+P26(x63161,f327(f105(x63161),f327(f327(f80(a1),x63162),f327(f79(a1),a83))))
% 207.23/207.89 [6317]~P93(x63171)+~E(f327(f105(x63171),x63172),f2(x63171))+P26(x63171,f327(f105(x63171),f327(f327(f80(a1),a83),f327(f79(a1),x63172))))
% 207.23/207.89 [6319]E(f327(a52,f48(f327(f79(a1),x63191),f327(f79(a1),x63192))),f47(x63191,x63192))+P1(f327(f327(f234(a1),f2(a1)),x63191))+P1(f327(f327(f235(a1),f2(a1)),x63192))
% 207.23/207.89 [6446]~E(x64462,f2(a915))+~E(x64461,f2(a915))+P1(f327(f327(f234(a1),f327(f101(a1),x64461)),f327(f79(a1),f327(f101(a1),x64462))))
% 207.23/207.89 [6475]E(f327(f327(f80(a915),f327(f105(a915),x64751)),f327(f105(a915),x64752)),f327(f105(a915),f327(f327(f80(a1),x64751),x64752)))+P1(f327(f327(f235(a1),x64751),a83))+P1(f327(f327(f235(a1),x64752),a83))
% 207.23/207.89 [6606]~P76(x66061)+~P1(f327(f327(f234(x66061),f2(x66061)),x66062))+P1(f327(f327(f234(x66061),f327(f79(x66061),x66062)),x66062))
% 207.23/207.89 [6607]~P76(x66071)+~P1(f327(f327(f235(x66071),f2(x66071)),x66072))+P1(f327(f327(f235(x66071),f327(f79(x66071),x66072)),x66072))
% 207.23/207.89 [6783]E(f327(f327(f23(a915),f327(a106,x67831)),f327(a106,x67832)),f327(a106,f327(f327(f23(a1),x67831),x67832)))+~P1(f327(f327(f234(a1),f2(a1)),x67832))+~P1(f327(f327(f234(a1),x67832),x67831))
% 207.23/207.89 [6817]E(f327(a106,f46(a1,f327(f105(a1),x68171),f327(f105(a1),x68172))),f46(a915,f327(f105(a915),x68171),f327(f105(a915),x68172)))+P1(f327(a195,f327(f105(a1),x68171)))+P1(f327(a195,f327(f105(a1),x68172)))
% 207.23/207.89 [6834]~P76(x68341)+P1(f327(f327(f234(x68341),f2(x68341)),x68342))+~P1(f327(f327(f234(x68341),f327(f79(x68341),x68342)),x68342))
% 207.23/207.89 [6835]~P76(x68351)+P1(f327(f327(f235(x68351),f2(x68351)),x68352))+~P1(f327(f327(f235(x68351),f327(f79(x68351),x68352)),x68352))
% 207.23/207.89 [6847]~P76(x68471)+~P1(f327(f327(f234(x68471),f2(x68471)),x68472))+P1(f327(f327(f234(x68471),f2(x68471)),f327(f327(f80(x68471),x68472),x68472)))
% 207.23/207.89 [6849]~P76(x68491)+~P1(f327(f327(f235(x68491),f2(x68491)),x68492))+P1(f327(f327(f235(x68491),f2(x68491)),f327(f327(f80(x68491),x68492),x68492)))
% 207.23/207.89 [6861]E(f327(f327(f80(a915),f327(a106,x68611)),f327(a106,x68612)),f327(a106,f327(f327(f80(a1),x68611),x68612)))+~P1(f327(f327(f234(a1),f2(a1)),x68612))+~P1(f327(f327(f234(a1),f2(a1)),x68611))
% 207.23/207.89 [6873]E(x68731,f2(a915))+P1(f327(f327(f235(a915),f2(a915)),x68732))+~P1(f327(f327(f235(a915),f2(a915)),f327(f327(f244(a915),x68732),x68731)))
% 207.23/207.89 [6906]~P93(x69061)+E(f327(f105(x69061),x69062),f2(x69061))+~P26(x69061,f327(f105(x69061),f327(f327(f80(a1),a83),f327(f79(a1),x69062))))
% 207.23/207.89 [6907]~P93(x69071)+E(f327(f105(x69071),x69072),f2(x69071))+~P26(x69071,f327(f105(x69071),f327(f327(f80(a1),x69072),f327(f79(a1),a83))))
% 207.23/207.89 [6964]~P1(f327(f35(x69641),x69642))+~P1(f327(f35(x69641),f242(f922(x69641,a910))))+P1(f327(f35(x69641),f327(f79(f922(x69641,a910)),x69642)))
% 207.23/207.89 [6987]~P1(f327(f327(f235(a1),f2(a1)),x69872))+~P1(f327(f327(f234(a1),x69872),x69871))+P1(f327(f327(f235(a1),f2(a1)),f327(f327(f37(a1),x69871),x69872)))
% 207.23/207.89 [6988]~P1(f327(f327(f234(a1),x69881),f2(a1)))+~P1(f327(f327(f235(a1),x69882),f2(a1)))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f37(a1),x69881),x69882)))
% 207.23/207.89 [7026]~P1(f327(f327(f234(a1),f2(a1)),x70262))+~P1(f327(f327(f234(a1),f2(a1)),x70261))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f80(a1),x70261),x70262)))
% 207.23/207.89 [7027]~P1(f327(f327(f234(a1),f2(a1)),x70272))+~P1(f327(f327(f234(a1),f2(a1)),x70271))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f81(a1),x70271),x70272)))
% 207.23/207.89 [7028]~P1(f327(f327(f234(a1),f2(a1)),x70282))+~P1(f327(f327(f234(a1),f2(a1)),x70281))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f37(a1),x70281),x70282)))
% 207.23/207.89 [7029]~P1(f327(f327(f234(a1),f2(a1)),x70291))+~P1(f327(f327(f235(a1),f2(a1)),x70292))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f37(a1),x70291),x70292)))
% 207.23/207.89 [7030]~P1(f327(f327(f235(a915),f2(a915)),x70302))+~P1(f327(f327(f235(a915),f2(a915)),x70301))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f81(a915),x70301),x70302)))
% 207.23/207.89 [7096]E(x70961,f2(a1))+E(f46(a1,x70962,x70961),f2(a1))+E(f327(f327(f23(a1),f327(f79(a1),f327(f327(f37(a1),x70962),x70961))),f78(a1)),f327(f327(f37(a1),f327(f79(a1),x70962)),x70961))
% 207.23/207.89 [7152]P1(f327(f327(f235(a915),f2(a915)),x71521))+P1(f327(f327(f235(a915),f2(a915)),x71522))+~P1(f327(f327(f235(a915),f2(a915)),f327(f327(f80(a915),x71522),x71521)))
% 207.23/207.89 [7156]~P76(x71561)+P1(f327(f327(f234(x71561),f2(x71561)),x71562))+~P1(f327(f327(f234(x71561),f2(x71561)),f327(f327(f80(x71561),x71562),x71562)))
% 207.23/207.89 [7157]~P76(x71571)+P1(f327(f327(f235(x71571),f2(x71571)),x71572))+~P1(f327(f327(f235(x71571),f2(x71571)),f327(f327(f80(x71571),x71572),x71572)))
% 207.23/207.89 [7208]~P1(f327(f35(x72081),x72082))+P1(f327(f35(x72081),f242(f922(x72081,a910))))+~P1(f327(f35(x72081),f327(f79(f922(x72081,a910)),x72082)))
% 207.23/207.89 [7273]P1(f327(f327(f234(a1),x72731),f2(a1)))+~P1(f327(f327(f235(a1),x72732),f2(a1)))+~P1(f327(f327(f234(a1),f2(a1)),f327(f327(f37(a1),x72731),x72732)))
% 207.23/207.89 [7279]~P1(f327(f327(f235(a1),f2(a1)),x72791))+P1(f327(f327(f234(a1),x72791),x72792))+~P1(f327(f327(f235(a1),f2(a1)),f327(f327(f37(a1),x72792),x72791)))
% 207.23/207.89 [7280]~P1(f327(f327(f234(a1),f2(a1)),x72802))+P1(f327(f327(f234(a1),x72801),x72802))+~P1(f327(f327(f235(a1),f2(a1)),f327(f327(f37(a1),x72802),x72801)))
% 207.23/207.89 [7310]P1(f327(f327(f234(a1),f2(a1)),x73101))+~P1(f327(f327(f235(a1),f2(a1)),x73102))+~P1(f327(f327(f234(a1),f2(a1)),f327(f327(f37(a1),x73101),x73102)))
% 207.23/207.89 [7311]P1(f327(f327(f235(a1),f2(a1)),x73111))+~P1(f327(f327(f234(a1),f2(a1)),x73112))+~P1(f327(f327(f235(a1),f2(a1)),f327(f327(f37(a1),x73112),x73111)))
% 207.23/207.89 [7754]~P1(f327(f35(x77542),f242(f922(x77542,a910))))+~P1(f327(f35(x77541),f242(f922(x77541,a910))))+P1(f327(f35(f920(x77541,x77542)),f242(f922(f920(x77541,x77542),a910))))
% 207.23/207.89 [7755]~P1(f327(f35(x77552),f242(f922(x77552,a910))))+~P1(f327(f35(x77551),f242(f922(x77551,a910))))+P1(f327(f35(f921(x77551,x77552)),f242(f922(f921(x77551,x77552),a910))))
% 207.23/207.89 [7827]~P1(f327(f327(f235(a915),f327(a113,f2(a915))),x78271))+~P1(f327(f327(f235(a915),f327(a113,f2(a915))),x78272))+P1(f327(f327(f235(a915),x78271),f327(f327(f81(a915),x78272),x78271)))
% 207.23/207.89 [7828]~P1(f327(f327(f235(a915),f327(a113,f2(a915))),x78281))+~P1(f327(f327(f235(a915),f327(a113,f2(a915))),x78282))+P1(f327(f327(f235(a915),x78281),f327(f327(f81(a915),x78281),x78282)))
% 207.23/207.89 [7862]E(f327(f36(x78621),f242(f922(x78621,a910))),f327(a113,f2(a915)))+P1(f327(f35(x78622),f242(f922(x78622,a910))))+~P1(f327(f35(f922(x78622,x78621)),f242(f922(f922(x78622,x78621),a910))))
% 207.23/207.89 [7987]~P1(f327(f327(f234(a915),f327(a113,f2(a915))),x79871))+~P1(f327(f327(f234(a915),f327(a113,f2(a915))),x79872))+P1(f327(f327(f234(a915),f327(a113,f2(a915))),f327(f327(f81(a915),x79871),x79872)))
% 207.23/207.89 [7988]~P1(f327(f327(f235(a915),f327(a113,f2(a915))),x79882))+~P1(f327(f327(f235(a915),f327(a113,f2(a915))),x79881))+P1(f327(f327(f235(a915),f327(a113,f2(a915))),f327(f327(f81(a915),x79881),x79882)))
% 207.23/207.89 [8667]E(x86671,f114(x86672))+~P1(f327(f138(x86672),x86671))+E(f178(x86672,f327(f327(f8(a910,a910,x86672),a322),f327(f327(f7(x86672,x86672,a910),a324),f145(x86672,x86671))),x86671),f115(x86672,x86671))
% 207.23/207.89 [8762]~P38(x87622)+~P38(x87621)+E(f327(f310(a915,a1,f101(a1)),f327(f327(f102(f922(a915,a910)),f327(f310(a1,a915,a106),x87621)),f327(f310(a1,a915,a106),x87622))),f327(f327(f102(f922(a1,a910)),x87621),x87622))
% 207.23/207.89 [8763]~P38(x87632)+~P38(x87631)+E(f327(f310(a915,a1,f101(a1)),f327(f327(f103(f922(a915,a910)),f327(f310(a1,a915,a106),x87631)),f327(f310(a1,a915,a106),x87632))),f327(f327(f103(f922(a1,a910)),x87631),x87632))
% 207.23/207.89 [9430]~P93(x94301)+~E(f327(f105(x94301),x94302),f78(x94301))+P26(x94301,f327(f105(x94301),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f79(a1),x94302))))
% 207.23/207.89 [9672]~P93(x96721)+E(f327(f105(x96721),x96722),f78(x96721))+~P26(x96721,f327(f105(x96721),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f79(a1),x96722))))
% 207.23/207.89 [10434]E(x104341,f2(a1))+E(x104342,f2(a1))+E(f327(f258(a1,a1,a1,a1,f31(a1),f327(f81(a1),f82(a1,x104342))),f327(f327(f327(f97(f921(a1,a1)),f327(f327(a324,f82(a1,x104341)),f82(a1,x104342))),f54(x104341,x104342)),f327(f327(f257(a1,a1,f921(a1,a1)),f327(f327(f18(a1,f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),f327(f327(f8(f922(a1,f922(f921(a1,a1),f921(a1,a1))),f922(f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),a1),f18(a1,f921(a1,a1),f921(a1,a1))),f327(f327(f8(f921(a1,a1),f922(a1,f922(f921(a1,a1),f921(a1,a1))),a1),f327(f7(a1,f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),f327(f327(f8(a910,f922(f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),a1),f97(f921(a1,a1))),f327(f327(f7(a1,a1,a910),a324),f2(a1))))),f327(f327(f7(a1,a1,f921(a1,a1)),f327(f327(f8(a1,f922(a1,f921(a1,a1)),a1),f252(a1,a1)),f79(a1))),f2(a1))))),f327(f327(f7(a1,f922(a1,a1),f922(a1,f921(a1,a1))),f327(f327(f8(f922(a1,f921(a1,a1)),f922(f922(a1,a1),f922(a1,f921(a1,a1))),a1),f8(a1,f921(a1,a1),a1)),f327(f327(f8(a1,f922(a1,f921(a1,a1)),a1),f252(a1,a1)),f327(f327(f7(a1,a1,a1),f327(f327(f8(a1,f922(a1,a1),a1),f23(a1)),f79(a1))),f78(a1))))),f327(f23(a1),f327(f75(a1),x104342))))),f54(x104341,x104342)))),f47(x104341,x104342))
% 207.23/207.89 [10435]E(x104351,f2(a1))+E(x104352,f2(a1))+E(f327(f258(a1,a1,a1,a1,f31(a1),f327(f81(a1),f82(a1,x104352))),f327(f327(f327(f97(f921(a1,a1)),f327(f327(a326,f327(f327(a325,f327(f327(f235(a1),f2(a1)),x104352)),f327(f327(f234(a1),f2(a1)),x104351))),f327(f327(a325,f327(f327(f235(a1),x104352),f2(a1))),f327(f327(f235(a1),x104351),f2(a1))))),f54(x104351,x104352)),f327(f327(f257(a1,a1,f921(a1,a1)),f327(f327(f18(a1,f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),f327(f327(f8(f922(a1,f922(f921(a1,a1),f921(a1,a1))),f922(f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),a1),f18(a1,f921(a1,a1),f921(a1,a1))),f327(f327(f8(f921(a1,a1),f922(a1,f922(f921(a1,a1),f921(a1,a1))),a1),f327(f7(a1,f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),f327(f327(f8(a910,f922(f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),a1),f97(f921(a1,a1))),f327(f327(f7(a1,a1,a910),a324),f2(a1))))),f327(f327(f7(a1,a1,f921(a1,a1)),f327(f327(f8(a1,f922(a1,f921(a1,a1)),a1),f252(a1,a1)),f79(a1))),f2(a1))))),f327(f327(f7(a1,f922(a1,a1),f922(a1,f921(a1,a1))),f327(f327(f8(f922(a1,f921(a1,a1)),f922(f922(a1,a1),f922(a1,f921(a1,a1))),a1),f8(a1,f921(a1,a1),a1)),f327(f327(f8(a1,f922(a1,f921(a1,a1)),a1),f252(a1,a1)),f327(f327(f7(a1,a1,a1),f327(f327(f8(a1,f922(a1,a1),a1),f23(a1)),f79(a1))),f78(a1))))),f327(f23(a1),f327(f75(a1),x104352))))),f54(x104351,x104352)))),f47(x104351,x104352))
% 207.23/207.89 [5881]~P119(x58811)+~P93(x58811)+E(f327(f75(x58811),f327(f327(f244(x58811),f327(f105(x58811),a98)),x58812)),f78(x58811))
% 207.23/207.89 [6387]~P142(x63871)+~P1(f327(f327(f235(a1),x63872),f2(a1)))+E(f327(f79(x63871),f327(f101(x63871),f327(a106,f327(f79(a1),x63872)))),f327(f104(x63871),x63872))
% 207.23/207.89 [6590]P1(f327(f327(f234(a100),x65901),f78(a100)))+E(f327(f327(f80(a100),f78(a100)),f272(x65901,f327(f327(f37(a100),x65902),x65901))),f272(x65901,x65902))+P1(f327(f327(f235(a100),x65902),x65901))
% 207.23/207.89 [7196]~P92(x71961)+~P1(f327(f327(f329(x71961),x71962),f111(x71961)))+~E(f327(f327(f80(x71961),f327(f327(f80(x71961),f78(x71961)),x71962)),x71962),f2(x71961))
% 207.23/207.89 [7312]~P1(f327(f327(f234(a1),x73122),f2(a1)))+~P1(f327(f327(f235(a1),x73121),f2(a1)))+E(f327(f251(a1,a1),f327(a52,f48(f327(f79(a1),x73121),f327(f79(a1),x73122)))),f327(f327(f37(a1),x73121),x73122))
% 207.23/207.89 [7329]~P1(f327(f327(f234(a1),x73292),f2(a1)))+~P1(f327(f327(f235(a1),x73291),f2(a1)))+E(f327(f256(a1,a1),f327(a52,f48(f327(f79(a1),x73291),f327(f79(a1),x73292)))),f46(a1,x73291,x73292))
% 207.23/207.89 [7337]~P1(f327(f327(f235(a1),x73372),f2(a1)))+E(f327(f251(a1,a1),f327(a52,f51(f327(f79(a1),x73371),f327(f79(a1),x73372)))),f327(f327(f37(a1),x73371),x73372))+~P1(f327(f327(f235(a1),f2(a1)),x73371))
% 207.23/207.89 [7355]~P1(f327(f327(f235(a1),x73552),f2(a1)))+E(f327(f256(a1,a1),f327(a52,f51(f327(f79(a1),x73551),f327(f79(a1),x73552)))),f46(a1,x73551,x73552))+~P1(f327(f327(f235(a1),f2(a1)),x73551))
% 207.23/207.89 [7408]E(f327(f327(f37(a1),f327(f327(f244(a1),x74081),x74082)),x74081),f327(f327(f244(a1),x74081),f327(f327(f23(a915),x74082),f327(a113,f2(a915)))))+~P1(f327(f327(f235(a915),f2(a915)),x74082))+~P1(f327(f327(f235(a1),f2(a1)),x74081))
% 207.23/207.89 [7512]~P1(f327(f327(f235(a915),f2(a915)),x75121))+~P1(f327(f327(f235(a915),f2(a915)),x75122))+P1(f327(f327(f235(a915),f327(f327(f23(a915),x75121),x75122)),x75121))
% 207.23/207.89 [7513]~P1(f327(f327(f235(a915),f2(a915)),x75131))+~P1(f327(f327(f235(a915),f78(a915)),x75132))+P1(f327(f327(f235(a915),f327(f327(f37(a915),x75131),x75132)),x75131))
% 207.23/207.89 [7514]~P1(f327(f327(f235(a1),f2(a1)),x75141))+~P1(f327(f327(f235(a1),f78(a1)),x75142))+P1(f327(f327(f235(a1),f327(f327(f37(a1),x75141),x75142)),x75141))
% 207.23/207.89 [7649]E(x76491,f2(a915))+~E(x76492,f2(a1))+~P1(f327(f327(f235(a1),f2(a1)),f327(f327(f244(a1),f327(f75(a1),x76492)),x76491)))
% 207.23/207.89 [8066]~E(x80662,f114(f916(x80661)))+E(f327(f191(f916(f916(x80661))),f180(x80661,x80662)),f2(a915))+~P11(a915,f327(f169(a915),f327(f327(f155(f916(x80661),a915),f191(f916(x80661))),x80662)))
% 207.23/207.89 [8319]P1(f327(x83191,x83192))+~P1(f327(x83191,f327(a108,f568(x83191,x83192))))+~P1(f327(f327(f329(f922(f921(a915,a915),a910)),x83192),a99))
% 207.23/207.89 [8335]E(x83351,f114(f916(x83352)))+E(f327(f191(f916(x83352)),f327(f327(f165(f916(x83352)),x83351),f2(a915))),f327(f191(f916(f916(x83352))),f180(x83352,x83351)))+~P11(a915,f327(f169(a915),f327(f327(f155(f916(x83352),a915),f191(f916(x83352))),x83351)))
% 207.23/207.89 [8475]~P36(x84751,x84752)+~P37(x84751,x84752)+P36(x84751,f327(f327(f23(f922(f921(x84751,x84751),a910)),x84752),f307(x84751,f190(f922(f921(x84751,x84751),a910)))))
% 207.23/207.89 [9047]~P1(f327(f35(x90471),f327(f262(x90471),x90472)))+~P1(f327(f35(x90471),f242(f922(x90471,a910))))+P1(f327(f35(x90471),f327(f262(x90471),f327(f327(f8(a910,a910,x90471),a322),x90472))))
% 207.23/207.89 [9113]E(f327(f327(f252(a915,a915),f327(a113,f327(f327(f37(a915),f327(f327(f23(a915),x91131),x91132)),x91132))),f46(a915,f327(f327(f23(a915),x91131),x91132),x91132)),f85(f921(a915,a915),f49(x91131,x91132)))+~P1(f327(f327(f235(a915),f2(a915)),x91132))+~P1(f327(f327(f234(a915),x91132),x91131))
% 207.23/207.89 [9396]~P1(f327(f35(x93961),f327(f262(x93961),x93962)))+P1(f327(f35(x93961),f242(f922(x93961,a910))))+~P1(f327(f35(x93961),f327(f262(x93961),f327(f327(f8(a910,a910,x93961),a322),x93962))))
% 207.23/207.89 [10114]P25(x101141,x101142)+~P35(x101141,f327(f251(f922(f921(x101141,x101141),a910),f922(f921(x101141,x101141),a910)),x101142))+~P1(f327(f327(f234(f922(f921(x101141,x101141),a910)),f327(f327(f289(x101141,x101141,x101141),f327(f251(f922(f921(x101141,x101141),a910),f922(f921(x101141,x101141),a910)),x101142)),f327(f256(f922(f921(x101141,x101141),a910),f922(f921(x101141,x101141),a910)),x101142))),f327(f251(f922(f921(x101141,x101141),a910),f922(f921(x101141,x101141),a910)),x101142)))
% 207.23/207.89 [10211]~E(f297(a915,f287(a915),f327(f327(f18(a915,f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),a915),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),a915),f327(f8(a910,f922(a910,a910),a915),a325)),f287(a915)))),f327(f327(f8(f922(a915,a910),f922(a915,a910),a915),f327(f8(a910,a910,a915),a322)),f327(f7(a915,a915,a910),f287(a915)))),x102112,x102111),f190(f922(a915,a910)))+~P1(f327(f327(f287(a915),x102112),x102111))+P1(f327(f327(f287(a915),x102111),x102112))
% 207.23/207.89 [10212]~E(f300(a915,f287(a915),f327(f327(f18(a915,f922(a915,a910),f922(a915,a910)),f327(f327(f8(f922(a915,f922(a910,a910)),f922(f922(a915,a910),f922(a915,a910)),a915),f18(a915,a910,a910)),f327(f327(f8(f922(a915,a910),f922(a915,f922(a910,a910)),a915),f327(f8(a910,f922(a910,a910),a915),a325)),f287(a915)))),f327(f327(f8(f922(a915,a910),f922(a915,a910),a915),f327(f8(a910,a910,a915),a322)),f327(f7(a915,a915,a910),f287(a915)))),x102122,x102121),f190(f922(a915,a910)))+~P1(f327(f327(f287(a915),x102122),x102121))+P1(f327(f327(f287(a915),x102121),x102122))
% 207.23/207.89 [7438]~P1(f327(f327(f235(a915),f2(a915)),x74382))+P1(f327(f327(f235(a915),x74381),x74382))+E(f327(a113,f327(f327(f37(a915),f327(f327(f23(a915),x74381),x74382)),x74382)),f327(f327(f37(a915),x74381),x74382))
% 207.23/207.89 [7575]~P1(f327(f327(f235(a915),f2(a915)),x75752))+~P1(f327(f327(f234(a915),x75752),x75751))+E(f327(a113,f327(f327(f37(a915),f327(f327(f23(a915),x75751),x75752)),x75752)),f327(f327(f37(a915),x75751),x75752))
% 207.23/207.89 [8538]~P93(x85381)+~P92(x85381)+~P26(x85381,f327(f105(x85381),f327(f327(f23(a1),f327(f327(f80(a1),x85382),x85382)),a98)))
% 207.23/207.89 [9304]E(x93041,f2(a915))+E(f327(f327(f257(a915,a915,f921(a915,a915)),f327(f327(f8(a915,f922(a915,f921(a915,a915)),a915),f252(a915,a915)),a113)),f85(f921(a915,a915),f49(f327(f327(f23(a915),x93042),x93041),x93041))),f85(f921(a915,a915),f49(x93042,x93041)))+P1(f327(f327(f235(a915),x93042),x93041))
% 207.23/207.89 [9482]~P36(x94821,x94822)+~P49(x94821,x94822)+P1(f327(f327(f234(f922(f921(x94821,x94821),a910)),f327(f327(f289(x94821,x94821,x94821),f327(f286(x94821,x94821),x94822)),x94822)),x94822))
% 207.23/207.89 [9737]P1(f327(x97372,f634(x97372,x97371)))+P1(f327(x97371,f634(x97372,x97371)))+E(f327(f262(a1),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),x97371)),f327(f262(a1),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),x97372)))
% 207.23/207.89 [9741]~P1(f327(x97412,f634(x97412,x97411)))+~P1(f327(x97411,f634(x97412,x97411)))+E(f327(f262(a1),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),x97411)),f327(f262(a1),f327(f327(f18(a1,a910,a910),f327(f327(f8(a910,f922(a910,a910),a1),a325),f327(f234(a1),f2(a1)))),x97412)))
% 207.23/207.89 [7785]~P62(x77851)+~P93(x77851)+E(f327(f327(f291(x77851),x77852),f327(f105(x77851),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))),x77852)
% 207.23/207.89 [9429]~P93(x94291)+~E(f327(f105(x94291),x94292),f78(x94291))+P26(x94291,f327(f105(x94291),f327(f327(f80(a1),x94292),f327(f79(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.89 [9613]~P141(x96131)+~E(x96132,f78(x96131))+E(f327(f327(f244(x96131),x96132),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f78(x96131))
% 207.23/207.89 [9614]~P141(x96141)+~E(x96142,f2(x96141))+E(f327(f327(f244(x96141),x96142),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f2(x96141))
% 207.23/207.89 [9629]~P141(x96291)+~E(x96292,f327(f79(x96291),f78(x96291)))+E(f327(f327(f244(x96291),x96292),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f78(x96291))
% 207.23/207.89 [9673]~P93(x96731)+E(f327(f105(x96731),x96732),f78(x96731))+~P26(x96731,f327(f105(x96731),f327(f327(f80(a1),x96732),f327(f79(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.23/207.89 [10057]~P119(x100572)+E(x100571,f2(x100572))+P1(f327(f327(f235(x100572),f2(x100572)),f327(f327(f244(x100572),x100571),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 207.23/207.89 [10113]~P119(x101132)+~E(x101131,f2(x101132))+~P1(f327(f327(f235(x101132),f2(x101132)),f327(f327(f244(x101132),x101131),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 207.23/207.89 [10149]P1(f327(f327(f234(a1),x101491),f2(a1)))+P1(f327(f327(f235(a1),x101492),x101491))+E(f327(f44(x101491),f48(x101492,f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101491))),f48(x101492,x101491))
% 207.23/207.89 [10150]~P1(f327(f327(f235(a1),f2(a1)),x101501))+P1(f327(f327(f235(a1),x101502),x101501))+E(f327(f44(x101501),f48(x101502,f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101501))),f48(x101502,x101501))
% 207.23/207.89 [10151]P1(f327(f327(f234(a1),x101511),f2(a1)))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f80(a1),x101512),x101511)))+E(f327(f44(x101511),f51(x101512,f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101511))),f51(x101512,x101511))
% 207.23/207.89 [10152]~P1(f327(f327(f235(a1),f2(a1)),x101521))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f80(a1),x101522),x101521)))+E(f327(f44(x101521),f51(x101522,f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101521))),f51(x101522,x101521))
% 207.23/207.89 [10153]~P146(x101531)+~P1(f327(f327(f234(a1),f2(a1)),x101532))+E(f327(f101(x101531),f327(a106,f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x101532))),f327(f327(f80(x101531),f327(f101(x101531),f327(a106,x101532))),f327(f101(x101531),f327(a106,x101532))))
% 207.23/207.89 [5212]~P147(x52121,x52122,x52123)+~E(x52123,f2(a1))+P1(f327(x52121,x52122))
% 207.23/207.89 [5335]~P108(x53351)+~P11(x53351,x53353)+P11(x53351,f171(x53351,x53352,x53353))
% 207.23/207.89 [5336]~P108(x53361)+~P11(x53361,x53363)+P11(x53361,f178(x53361,x53362,x53363))
% 207.23/207.89 [4905]~P74(x49052)+~E(x49053,f327(f79(x49052),x49051))+E(x49051,f327(f79(x49052),x49053))
% 207.23/207.89 [4907]~P74(x49071)+~E(f327(f79(x49071),x49073),x49072)+E(f327(f79(x49071),x49072),x49073)
% 207.23/207.89 [4986]~P74(x49863)+E(x49861,x49862)+~E(f327(f79(x49863),x49861),f327(f79(x49863),x49862))
% 207.23/207.89 [4987]~P86(x49873)+E(x49871,x49872)+~E(f327(f79(x49873),x49871),f327(f79(x49873),x49872))
% 207.23/207.89 [4988]~P108(x49883)+E(x49881,x49882)+~E(f327(f282(x49883),x49881),f327(f282(x49883),x49882))
% 207.23/207.89 [4989]~P103(x49893)+E(x49891,x49892)+~E(f327(f101(x49893),x49891),f327(f101(x49893),x49892))
% 207.23/207.89 [4990]~P92(x49903)+E(x49901,x49902)+~E(f327(f104(x49903),x49901),f327(f104(x49903),x49902))
% 207.23/207.89 [4991]~P108(x49913)+E(x49911,x49912)+~E(f327(f304(x49913),x49911),f327(f304(x49913),x49912))
% 207.23/207.89 [4992]~P108(x49923)+E(x49921,x49922)+~E(f327(f283(x49923),x49921),f327(f283(x49923),x49922))
% 207.23/207.89 [4993]~P108(x49933)+E(x49931,x49932)+~E(f327(f301(x49933),x49931),f327(f301(x49933),x49932))
% 207.23/207.89 [5095]~P60(x50951)+~P1(f327(x50952,x50953))+P1(f327(f57(x50951),x50952))
% 207.23/207.89 [5131]~P60(x51313)+P1(f327(x51311,x51312))+~P1(f327(f58(x51313),x51311))
% 207.23/207.89 [5232]~P148(x52321,x52323,x52322)+~E(x52322,f2(a1))+P1(f327(x52321,f2(a1)))
% 207.23/207.89 [5271]~E(x52711,f2(a915))+E(f336(x52711,x52712,x52713),f190(f922(x52713,a910)))+~E(f327(f36(x52713),x52712),f327(a113,x52711))
% 207.23/207.89 [5418]~E(x54182,f2(a915))+E(f327(f251(a915,a915),x54181),f2(a915))+~P1(f327(f49(x54183,x54182),x54181))
% 207.23/207.89 [5462]P1(f327(x54621,x54622))+~E(x54623,f327(f101(a1),x54622))+~P1(f327(x54621,f327(a106,x54623)))
% 207.23/207.89 [5945]~E(x59453,f2(a915))+~P1(f327(x59451,x59452))+P1(f327(x59451,f46(a915,x59452,x59453)))
% 207.23/207.89 [6180]~P104(x61802)+~P104(x61801)+E(f132(x61801,x61802,f133(x61801,x61803),f133(x61802,x61803)),f133(f921(x61801,x61802),x61803))
% 207.23/207.89 [6368]~E(x63683,f2(a915))+P1(f327(x63681,x63682))+~P1(f327(x63681,f46(a915,x63682,x63683)))
% 207.23/207.89 [6859]E(x68591,f190(f922(x68592,a910)))+~P1(f327(f35(x68592),x68591))+P1(f327(f62(x68592,x68593,x68591),f630(x68593,x68591,x68592)))
% 207.23/207.89 [7051]E(x70511,f2(a915))+~P1(f327(x70512,f465(x70511,x70513,x70512)))+P1(f327(x70512,f46(a915,x70513,x70511)))
% 207.23/207.89 [7162]~P3(x71621)+~P1(f327(f327(f234(x71621),x71622),f339(x71623,x71622,x71621)))+P1(f327(f327(f234(x71621),x71622),f39(x71621,x71623)))
% 207.23/207.89 [7164]~P1(f327(x71641,x71642))+~P1(f327(x71641,f465(x71643,x71642,x71641)))+P1(f327(x71641,f46(a915,x71642,x71643)))
% 207.23/207.89 [7267]E(x72671,f114(x72672))+E(f327(f327(f152(x72672),f685(x72673,x72671,x72672)),f688(x72673,x72671,x72672)),x72671)+~P1(f327(f327(f329(f916(x72672)),x72671),f162(x72672,x72673)))
% 207.23/207.89 [7298]~P142(x72981)+~P1(f327(f327(f329(x72981),x72982),f111(x72981)))+P1(f327(f327(f329(x72981),f327(f327(f244(x72981),x72982),x72983)),f111(x72981)))
% 207.23/207.89 [7621]P35(x76211,x76212)+~P1(f327(f327(f329(x76211),x76213),f608(x76212,x76211)))+P1(f327(f327(f329(x76211),f631(x76212,x76211,x76213)),f608(x76212,x76211)))
% 207.23/207.89 [7889]E(x78891,f114(x78892))+~P1(f327(f327(f329(f916(x78892)),x78891),f162(x78892,x78893)))+P1(f327(f327(f329(f916(x78892)),f688(x78893,x78891,x78892)),f162(x78892,x78893)))
% 207.23/207.89 [7941]E(x79411,f2(a915))+E(f327(f327(f80(a915),f327(f327(f81(a915),x79411),f466(x79411,x79412,x79413))),f465(x79411,x79412,x79413)),x79412)+P1(f327(x79413,f46(a915,x79412,x79411)))
% 207.23/207.89 [7982]~P1(f327(x79823,x79822))+E(f327(f327(f80(a915),f327(f327(f81(a915),x79821),f466(x79821,x79822,x79823))),f465(x79821,x79822,x79823)),x79822)+P1(f327(x79823,f46(a915,x79822,x79821)))
% 207.23/207.89 [8122]P1(f327(f327(f235(a1),x81221),f459(x81222,x81223,x81221)))+P1(f327(f327(x81223,f327(f327(f37(a1),x81222),x81221)),f46(a1,x81222,x81221)))+~P1(f327(f327(f235(a1),x81221),f2(a1)))
% 207.23/207.89 [8390]P1(f327(f327(x83902,f327(f327(f37(a1),x83901),x83903)),f46(a1,x83901,x83903)))+~P1(f327(f327(f235(a1),x83903),f2(a1)))+P1(f327(f327(f234(a1),f459(x83901,x83902,x83903)),f2(a1)))
% 207.23/207.89 [8572]E(f327(f327(f80(a1),f327(f327(f81(a1),x85721),f462(x85722,x85723,x85721))),f459(x85722,x85723,x85721)),x85722)+P1(f327(f327(x85723,f327(f327(f37(a1),x85722),x85721)),f46(a1,x85722,x85721)))+~P1(f327(f327(f235(a1),x85721),f2(a1)))
% 207.23/207.89 [8810]~P1(f327(f327(x88101,f462(x88102,x88101,x88103)),f459(x88102,x88101,x88103)))+P1(f327(f327(x88101,f327(f327(f37(a1),x88102),x88103)),f46(a1,x88102,x88103)))+~P1(f327(f327(f235(a1),x88103),f2(a1)))
% 207.23/207.89 [9060]~P108(x90601)+~P11(x90601,x90603)+P11(x90601,f150(x90601,x90601,f5(x90601),x90602,x90603))
% 207.23/207.89 [9559]~P127(x95592)+E(x95591,f2(x95592))+~P1(f327(f327(f234(x95592),f327(f327(f80(x95592),f327(f327(f81(x95592),x95593),x95593)),f327(f327(f81(x95592),x95591),x95591))),f2(x95592)))
% 207.23/207.89 [9560]~P127(x95602)+E(x95601,f2(x95602))+~P1(f327(f327(f234(x95602),f327(f327(f80(x95602),f327(f327(f81(x95602),x95601),x95601)),f327(f327(f81(x95602),x95603),x95603))),f2(x95602)))
% 207.23/207.89 [10367]~P119(x103671)+~P1(f327(f327(f235(x103671),x103672),f2(x103671)))+P1(f327(f327(f235(x103671),f327(f327(f244(x103671),x103672),f327(a113,f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x103673)))),f2(x103671)))
% 207.23/207.89 [10376]~P119(x103762)+E(x103761,f2(x103762))+~P1(f327(f327(f234(x103762),f327(f327(f80(x103762),f327(f327(f244(x103762),x103763),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x103762),x103761),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))),f2(x103762)))
% 207.23/207.89 [10377]~P119(x103772)+E(x103771,f2(x103772))+~P1(f327(f327(f234(x103772),f327(f327(f80(x103772),f327(f327(f244(x103772),x103771),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x103772),x103773),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))),f2(x103772)))
% 207.23/207.89 [4941]~E(x49412,x49413)+~P67(x49411)+E(f327(f327(f23(x49411),x49412),x49413),f2(x49411))
% 207.23/207.89 [4942]~E(x49422,x49423)+~P74(x49421)+E(f327(f327(f23(x49421),x49422),x49423),f2(x49421))
% 207.23/207.89 [4955]~P144(x49551)+~E(x49553,f2(x49551))+E(f327(f327(f80(x49551),x49552),x49553),x49552)
% 207.23/207.89 [4973]~P143(x49731)+~E(x49733,f2(x49731))+E(f327(f327(f81(x49731),x49732),x49733),f2(x49731))
% 207.23/207.89 [4974]~P143(x49741)+~E(x49742,f2(x49741))+E(f327(f327(f81(x49741),x49742),x49743),f2(x49741))
% 207.23/207.89 [4995]~E(x49953,f114(x49951))+~E(x49952,f114(x49951))+E(f327(f327(f135(x49951),x49952),x49953),f114(x49951))
% 207.23/207.89 [5085]~P144(x50852)+E(x50851,f2(x50852))+~E(f327(f327(f80(x50852),x50853),x50851),x50853)
% 207.23/207.89 [5086]~P74(x50861)+~E(x50862,f327(f79(x50861),x50863))+E(f327(f327(f80(x50861),x50862),x50863),f2(x50861))
% 207.23/207.89 [5093]E(x50931,f114(x50932))+E(x50933,f2(a915))+~E(f327(f327(f176(x50932),x50933),x50931),f114(x50932))
% 207.23/207.89 [5099]~P67(x50993)+E(x50991,x50992)+~E(f327(f327(f23(x50993),x50991),x50992),f2(x50993))
% 207.23/207.89 [5100]~P74(x51003)+E(x51001,x51002)+~E(f327(f327(f23(x51003),x51001),x51002),f2(x51003))
% 207.23/207.89 [5113]~P141(x51132)+E(x51131,f2(x51132))+~E(f327(f327(f244(x51132),x51131),x51133),f2(x51132))
% 207.23/207.89 [5114]~P98(x51142)+E(x51141,f190(x51142))+~E(f327(f327(f102(x51142),x51143),x51141),f190(x51142))
% 207.23/207.89 [5115]~P98(x51152)+E(x51151,f190(x51152))+~E(f327(f327(f102(x51152),x51151),x51153),f190(x51152))
% 207.23/207.89 [5116]~P97(x51162)+E(x51161,f242(x51162))+~E(f327(f327(f103(x51162),x51163),x51161),f242(x51162))
% 207.23/207.89 [5117]~P97(x51172)+E(x51171,f242(x51172))+~E(f327(f327(f103(x51172),x51171),x51173),f242(x51172))
% 207.23/207.89 [5186]~P74(x51862)+E(x51861,f327(f79(x51862),x51863))+~E(f327(f327(f80(x51862),x51861),x51863),f2(x51862))
% 207.23/207.89 [5187]~P74(x51871)+E(f327(f79(x51871),x51872),x51873)+~E(f327(f327(f80(x51871),x51872),x51873),f2(x51871))
% 207.23/207.89 [5189]~E(x51892,x51893)+~P107(x51891)+P1(f327(f327(f234(x51891),x51892),x51893))
% 207.23/207.89 [5191]~E(x51912,x51913)+~P110(x51911)+P1(f327(f327(f234(x51911),x51912),x51913))
% 207.23/207.89 [5288]~P120(x52881)+~E(x52882,f327(f79(x52881),x52883))+E(f327(f327(f81(x52881),x52882),x52882),f327(f327(f81(x52881),x52883),x52883))
% 207.23/207.89 [5296]~P108(x52961)+~P11(x52961,x52963)+P11(x52961,f327(f327(f176(x52961),x52962),x52963))
% 207.23/207.89 [5297]~P108(x52971)+~P11(x52971,x52973)+P11(x52971,f327(f327(f139(x52971),x52972),x52973))
% 207.23/207.89 [5333]E(x53331,x53332)+E(x53333,f2(a915))+~E(f327(f327(f81(a915),x53333),x53331),f327(f327(f81(a915),x53333),x53332))
% 207.23/207.89 [5334]E(x53341,x53342)+E(x53343,f2(a915))+~E(f327(f327(f81(a915),x53341),x53343),f327(f327(f81(a915),x53342),x53343))
% 207.23/207.89 [5411]~E(x54112,x54113)+~P110(x54111)+E(f303(x54111,x54112,x54113),f327(f327(f309(x54111),x54112),f190(f922(x54111,a910))))
% 207.23/207.89 [5459]~E(x54591,x54592)+~P108(x54593)+~P1(f327(f327(f235(x54593),x54591),x54592))
% 207.23/207.89 [5460]~E(x54601,x54602)+~P110(x54603)+~P1(f327(f327(f235(x54603),x54601),x54602))
% 207.23/207.89 [5473]~P110(x54731)+E(f327(f302(x54731,x54732),x54733),f190(f922(x54731,a910)))+P1(f327(f327(f235(x54731),x54732),x54733))
% 207.23/207.89 [5521]~P110(x55211)+E(f305(x55211,x55212,x55213),f190(f922(x55211,a910)))+P1(f327(f327(f235(x55211),x55212),x55213))
% 207.23/207.89 [5522]~P110(x55221)+E(f303(x55221,x55222,x55223),f190(f922(x55221,a910)))+P1(f327(f327(f234(x55221),x55222),x55223))
% 207.23/207.89 [5523]~P110(x55231)+E(f190(f922(x55231,a910)),f305(x55231,x55232,x55233))+P1(f327(f327(f235(x55231),x55232),x55233))
% 207.23/207.89 [5524]~P110(x55241)+E(f190(f922(x55241,a910)),f303(x55241,x55242,x55243))+P1(f327(f327(f234(x55241),x55242),x55243))
% 207.23/207.89 [5532]~P108(x55321)+~E(f327(f327(f238(x55321),x55322),x55323),x55322)+P1(f327(f327(f234(x55321),x55322),x55323))
% 207.23/207.89 [5533]~P108(x55331)+~E(f327(f327(f189(x55331),x55332),x55333),x55333)+P1(f327(f327(f234(x55331),x55332),x55333))
% 207.23/207.89 [5534]~P101(x55341)+~E(f327(f327(f102(x55341),x55342),x55343),x55343)+P1(f327(f327(f234(x55341),x55342),x55343))
% 207.23/207.89 [5535]~P102(x55351)+~E(f327(f327(f103(x55351),x55352),x55353),x55352)+P1(f327(f327(f234(x55351),x55352),x55353))
% 207.23/207.89 [5554]~P108(x55541)+P11(x55541,x55542)+~P11(x55541,f327(f327(f152(x55541),x55543),x55542))
% 207.23/207.89 [5555]~P108(x55551)+P11(x55551,x55552)+~P11(x55551,f327(f327(f135(x55551),x55553),x55552))
% 207.23/207.89 [5556]~P108(x55561)+P11(x55561,x55562)+~P11(x55561,f327(f327(f135(x55561),x55562),x55563))
% 207.23/207.89 [5561]~P58(x55611)+~E(f46(x55611,x55613,x55612),f2(x55611))+P1(f327(f327(f287(x55611),x55612),x55613))
% 207.23/207.89 [5623]~P108(x56231)+P1(f327(f327(f234(x56231),x56233),x56232))+P1(f327(f327(f234(x56231),x56232),x56233))
% 207.23/207.89 [5628]~P108(x56281)+P1(f327(f327(f235(x56281),x56283),x56282))+P1(f327(f327(f234(x56281),x56282),x56283))
% 207.23/207.89 [5666]~P108(x56661)+E(f327(f327(f238(x56661),x56662),x56663),x56663)+~P1(f327(f327(f234(x56661),x56663),x56662))
% 207.23/207.89 [5668]~P108(x56681)+E(f327(f327(f238(x56681),x56682),x56683),x56682)+~P1(f327(f327(f234(x56681),x56682),x56683))
% 207.23/207.89 [5669]~P108(x56691)+E(f327(f327(f189(x56691),x56692),x56693),x56692)+~P1(f327(f327(f234(x56691),x56693),x56692))
% 207.23/207.89 [5671]~P108(x56711)+E(f327(f327(f189(x56711),x56712),x56713),x56713)+~P1(f327(f327(f234(x56711),x56712),x56713))
% 207.23/207.89 [5672]~P101(x56721)+E(f327(f327(f102(x56721),x56722),x56723),x56722)+~P1(f327(f327(f234(x56721),x56723),x56722))
% 207.23/207.89 [5674]~P101(x56741)+E(f327(f327(f102(x56741),x56742),x56743),x56743)+~P1(f327(f327(f234(x56741),x56742),x56743))
% 207.23/207.89 [5675]~P102(x56751)+E(f327(f327(f103(x56751),x56752),x56753),x56753)+~P1(f327(f327(f234(x56751),x56753),x56752))
% 207.23/207.89 [5677]~P102(x56771)+E(f327(f327(f103(x56771),x56772),x56773),x56772)+~P1(f327(f327(f234(x56771),x56772),x56773))
% 207.23/207.89 [5684]~P122(x56842)+E(x56841,f2(x56842))+E(f327(f327(f291(x56842),f327(f79(x56842),x56843)),f327(f79(x56842),x56841)),f327(f327(f291(x56842),x56843),x56841))
% 207.23/207.89 [5691]~P58(x56911)+E(f46(x56911,x56912,x56913),f2(x56911))+~P1(f327(f327(f287(x56911),x56913),x56912))
% 207.23/207.89 [5737]~P110(x57371)+E(f327(f302(x57371,x57372),x57373),f190(f922(x57371,a910)))+~P1(f327(f327(f234(x57371),x57373),x57372))
% 207.23/207.89 [5770]~P110(x57701)+E(f306(x57701,x57702,x57703),f190(f922(x57701,a910)))+~P1(f327(f327(f234(x57701),x57703),x57702))
% 207.23/207.89 [5771]~P110(x57711)+E(f305(x57711,x57712,x57713),f190(f922(x57711,a910)))+~P1(f327(f327(f234(x57711),x57713),x57712))
% 207.23/207.89 [5772]~P110(x57721)+E(f303(x57721,x57722,x57723),f190(f922(x57721,a910)))+~P1(f327(f327(f235(x57721),x57723),x57722))
% 207.23/207.89 [5824]~E(f327(f327(f23(a915),x58241),x58243),x58242)+E(x58241,f327(f327(f80(a915),x58242),x58243))+~P1(f327(f327(f234(a915),x58243),x58241))
% 207.23/207.89 [5825]~E(x58251,f327(f327(f80(a915),x58253),x58252))+E(f327(f327(f23(a915),x58251),x58252),x58253)+~P1(f327(f327(f234(a915),x58252),x58251))
% 207.23/207.89 [5870]~P1(f327(x58701,x58703))+P1(f327(x58701,f388(x58701,x58702)))+~P1(f327(f327(f235(a915),x58703),x58702))
% 207.23/207.89 [5871]~P1(f327(x58711,x58713))+P1(f327(x58711,f407(x58711,x58712)))+~P1(f327(f327(f234(a915),x58713),x58712))
% 207.23/207.89 [5879]~P110(x58791)+~E(f327(f302(x58791,x58792),x58793),f190(f922(x58791,a910)))+~P1(f327(f327(f235(x58791),x58792),x58793))
% 207.23/207.89 [5884]~P107(x58841)+~P1(f327(f327(f235(x58841),x58842),x58843))+P1(f327(f327(f234(x58841),x58842),x58843))
% 207.23/207.89 [5886]~P110(x58861)+~P1(f327(f327(f235(x58861),x58862),x58863))+P1(f327(f327(f234(x58861),x58862),x58863))
% 207.23/207.89 [5995]~P110(x59951)+~E(f305(x59951,x59952,x59953),f190(f922(x59951,a910)))+~P1(f327(f327(f235(x59951),x59952),x59953))
% 207.23/207.89 [5996]~P110(x59961)+~E(f303(x59961,x59962,x59963),f190(f922(x59961,a910)))+~P1(f327(f327(f234(x59961),x59962),x59963))
% 207.23/207.89 [5997]~P110(x59971)+~E(f190(f922(x59971,a910)),f305(x59971,x59972,x59973))+~P1(f327(f327(f235(x59971),x59972),x59973))
% 207.23/207.89 [5998]~P110(x59981)+~E(f190(f922(x59981,a910)),f303(x59981,x59982,x59983))+~P1(f327(f327(f234(x59981),x59982),x59983))
% 207.23/207.89 [6008]P1(f327(x60081,x60082))+~P1(f327(x60081,f389(x60081,x60083)))+~P1(f327(f327(f235(a915),x60082),x60083))
% 207.23/207.89 [6009]P1(f327(x60091,x60092))+~P1(f327(x60091,f408(x60091,x60093)))+~P1(f327(f327(f234(a915),x60092),x60093))
% 207.23/207.89 [6017]~E(x60171,f327(a113,x60173))+P1(f327(f327(f235(a915),x60171),f327(a113,x60172)))+~P1(f327(f327(f235(a915),x60173),x60172))
% 207.23/207.89 [6036]E(x60361,x60362)+~E(f327(f327(f81(a915),x60363),x60361),f327(f327(f81(a915),x60363),x60362))+~P1(f327(f327(f235(a915),f2(a915)),x60363))
% 207.23/207.89 [6096]E(f327(x60961,f363(x60961,x60962,x60963)),f78(a915))+~E(f327(f327(f6(x60963,a915),x60961),x60962),f78(a915))+~P1(f327(f35(x60963),x60962))
% 207.23/207.89 [6113]~P3(x61131)+P1(f327(f327(f234(x61131),x61132),f38(x61131,x61133)))+~P1(f327(f327(f329(x61131),x61132),x61133))
% 207.23/207.89 [6136]~P107(x61361)+~P1(f327(f327(f235(x61361),x61363),x61362))+~P1(f327(f327(f234(x61361),x61362),x61363))
% 207.23/207.89 [6140]~P107(x61401)+~P1(f327(f327(f235(x61401),x61403),x61402))+~P1(f327(f327(f235(x61401),x61402),x61403))
% 207.23/207.89 [6143]~P108(x61431)+~P1(f327(f327(f235(x61431),x61433),x61432))+~P1(f327(f327(f234(x61431),x61432),x61433))
% 207.23/207.89 [6144]~P108(x61441)+~P1(f327(f327(f235(x61441),x61443),x61442))+~P1(f327(f327(f235(x61441),x61442),x61443))
% 207.23/207.89 [6145]~P110(x61451)+~P1(f327(f327(f235(x61451),x61453),x61452))+~P1(f327(f327(f235(x61451),x61452),x61453))
% 207.23/207.89 [6165]~E(x61652,x61653)+~E(x61651,x61652)+E(f290(a915,f287(a915),x61651,x61652),f327(f327(f309(a915),x61653),f190(f922(a915,a910))))
% 207.23/207.89 [6172]~E(f327(x61722,f364(x61722,x61723,x61721)),f2(a915))+E(f327(f327(f6(x61721,a915),x61722),x61723),f2(a915))+~P1(f327(f35(x61721),x61723))
% 207.23/207.89 [6173]~E(f327(x61732,f886(x61732,x61733,x61731)),f78(a915))+E(f327(f327(f9(x61731,a915),x61732),x61733),f78(a915))+~P1(f327(f35(x61731),x61733))
% 207.23/207.89 [6189]~P109(x61891)+~P1(f327(f327(f235(x61891),x61893),x61892))+P1(f327(f327(f329(x61891),x61892),f327(f304(x61891),x61893)))
% 207.23/207.89 [6190]~P109(x61901)+~P1(f327(f327(f234(x61901),x61903),x61902))+P1(f327(f327(f329(x61901),x61902),f327(f283(x61901),x61903)))
% 207.23/207.89 [6191]~P109(x61911)+~P1(f327(f327(f235(x61911),x61912),x61913))+P1(f327(f327(f329(x61911),x61912),f327(f282(x61911),x61913)))
% 207.23/207.89 [6192]~P109(x61921)+~P1(f327(f327(f234(x61921),x61922),x61923))+P1(f327(f327(f329(x61921),x61922),f327(f301(x61921),x61923)))
% 207.23/207.89 [6193]~P114(x61931)+~P1(f327(f327(f287(x61931),x61932),x61933))+P1(f327(f327(f287(x61931),x61932),f327(f79(x61931),x61933)))
% 207.23/207.89 [6205]E(f327(x62051,f365(x62051,x62052,x62053)),f327(a113,f2(a915)))+~E(f327(f327(f6(x62053,a915),x62051),x62052),f327(a113,f2(a915)))+~P1(f327(f35(x62053),x62052))
% 207.23/207.89 [6292]~P3(x62921)+~P1(f327(f327(f329(x62921),x62923),x62922))+P1(f327(f327(f234(x62921),f39(x62921,x62922)),x62923))
% 207.23/207.89 [6313]~P1(f327(f327(f234(a915),x63131),x63133))+P1(f327(f327(f234(a915),x63131),x63132))+~P1(f327(f327(f234(a915),x63133),x63132))
% 207.23/207.89 [6314]~P1(f327(f327(f234(a1),x63141),x63143))+P1(f327(f327(f234(a1),x63141),x63142))+~P1(f327(f327(f234(a1),x63143),x63142))
% 207.23/207.89 [6334]~P109(x63341)+~P1(f327(f327(f329(x63341),x63343),f327(f283(x63341),x63342)))+P1(f327(f327(f234(x63341),x63342),x63343))
% 207.23/207.89 [6335]~P109(x63351)+~P1(f327(f327(f329(x63351),x63352),f327(f301(x63351),x63353)))+P1(f327(f327(f234(x63351),x63352),x63353))
% 207.23/207.89 [6336]~P109(x63361)+~P1(f327(f327(f329(x63361),x63363),f327(f304(x63361),x63362)))+P1(f327(f327(f235(x63361),x63362),x63363))
% 207.23/207.89 [6337]~P109(x63371)+~P1(f327(f327(f329(x63371),x63372),f327(f282(x63371),x63373)))+P1(f327(f327(f235(x63371),x63372),x63373))
% 207.23/207.89 [6338]~P114(x63381)+~P1(f327(f327(f287(x63381),x63382),f327(f79(x63381),x63383)))+P1(f327(f327(f287(x63381),x63382),x63383))
% 207.23/207.89 [6412]~P1(f327(x64121,x64122))+P1(f327(x64121,f773(x64121)))+~P1(f327(f327(f329(x64123),x64122),f242(f922(x64123,a910))))
% 207.23/207.89 [6556]~P63(x65561)+P1(f327(f327(f235(x65561),f2(x65561)),f454(x65563,x65562,x65561)))+P1(f327(f327(f234(x65561),x65562),x65563))
% 207.23/207.89 [6557]~P64(x65571)+P1(f327(f327(f235(x65571),f2(x65571)),f763(x65573,x65572,x65571)))+P1(f327(f327(f234(x65571),x65572),x65573))
% 207.23/207.89 [6623]~P78(x66231)+~P1(f327(f327(f234(x66231),x66233),f327(f79(x66231),x66232)))+P1(f327(f327(f234(x66231),x66232),f327(f79(x66231),x66233)))
% 207.23/207.89 [6625]~P78(x66251)+~P1(f327(f327(f235(x66251),x66253),f327(f79(x66251),x66252)))+P1(f327(f327(f235(x66251),x66252),f327(f79(x66251),x66253)))
% 207.23/207.89 [6637]~P1(f327(f327(f235(a915),x66371),x66373))+~P1(f327(f327(f235(a915),x66373),x66372))+P1(f327(f327(f235(a915),f327(a113,x66371)),x66372))
% 207.23/207.89 [6665]~P126(x66651)+P1(f327(f327(f234(x66651),f327(f101(x66651),x66652)),f327(f101(x66651),x66653)))+~P1(f327(f327(f234(a915),x66652),x66653))
% 207.23/207.89 [6666]~P119(x66661)+P1(f327(f327(f234(x66661),f327(f104(x66661),x66662)),f327(f104(x66661),x66663)))+~P1(f327(f327(f234(a1),x66662),x66663))
% 207.23/207.89 [6668]~P119(x66681)+P1(f327(f327(f235(x66681),f327(f104(x66681),x66682)),f327(f104(x66681),x66683)))+~P1(f327(f327(f235(a1),x66682),x66683))
% 207.23/207.89 [6669]~P126(x66691)+P1(f327(f327(f235(x66691),f327(f101(x66691),x66692)),f327(f101(x66691),x66693)))+~P1(f327(f327(f235(a915),x66692),x66693))
% 207.23/207.89 [6675]~P108(x66751)+E(f327(f327(f102(f922(x66751,a910)),f327(f282(x66751),x66752)),f327(f302(x66751,x66752),x66753)),f327(f282(x66751),x66753))+~P1(f327(f327(f234(x66751),x66752),x66753))
% 207.23/207.89 [6705]~P78(x67051)+~P1(f327(f327(f234(x67051),x67053),x67052))+P1(f327(f327(f234(x67051),f327(f79(x67051),x67052)),f327(f79(x67051),x67053)))
% 207.23/207.89 [6707]~P86(x67071)+~P1(f327(f327(f234(x67071),x67073),x67072))+P1(f327(f327(f234(x67071),f327(f79(x67071),x67072)),f327(f79(x67071),x67073)))
% 207.23/207.89 [6708]~P78(x67081)+~P1(f327(f327(f235(x67081),x67083),x67082))+P1(f327(f327(f235(x67081),f327(f79(x67081),x67082)),f327(f79(x67081),x67083)))
% 207.23/207.89 [6743]~P108(x67431)+E(f327(f327(f102(f922(x67431,a910)),f327(f282(x67431),x67432)),f303(x67431,x67432,x67433)),f327(f301(x67431),x67433))+~P1(f327(f327(f234(x67431),x67432),x67433))
% 207.23/207.89 [6744]~P108(x67441)+E(f327(f327(f102(f922(x67441,a910)),f327(f301(x67441),x67442)),f306(x67441,x67442,x67443)),f327(f282(x67441),x67443))+~P1(f327(f327(f235(x67441),x67442),x67443))
% 207.23/207.89 [6745]~P108(x67451)+E(f327(f327(f102(f922(x67451,a910)),f327(f301(x67451),x67452)),f305(x67451,x67452,x67453)),f327(f301(x67451),x67453))+~P1(f327(f327(f234(x67451),x67452),x67453))
% 207.23/207.89 [6778]~P108(x67781)+E(f327(f327(f102(f922(x67781,a910)),f327(f302(x67781,x67782),x67783)),f327(f283(x67781),x67783)),f327(f283(x67781),x67782))+~P1(f327(f327(f234(x67781),x67782),x67783))
% 207.23/207.89 [6934]~P108(x69341)+E(f327(f327(f102(f922(x69341,a910)),f306(x69341,x69342,x69343)),f327(f283(x69341),x69343)),f327(f304(x69341),x69342))+~P1(f327(f327(f235(x69341),x69342),x69343))
% 207.23/207.89 [6935]~P108(x69351)+E(f327(f327(f102(f922(x69351,a910)),f305(x69351,x69352,x69353)),f327(f304(x69351),x69353)),f327(f304(x69351),x69352))+~P1(f327(f327(f234(x69351),x69352),x69353))
% 207.23/207.89 [6936]~P108(x69361)+E(f327(f327(f102(f922(x69361,a910)),f303(x69361,x69362,x69363)),f327(f304(x69361),x69363)),f327(f283(x69361),x69362))+~P1(f327(f327(f234(x69361),x69362),x69363))
% 207.23/207.89 [6955]P1(f327(x69551,x69552))+~P1(f327(f327(f234(a915),x69552),x69553))+P1(f327(f327(f329(a915),f408(x69551,x69553)),f303(a915,f2(a915),x69553)))
% 207.23/207.89 [6989]E(x69891,x69892)+~E(f327(f327(f165(x69893),x69891),f632(x69893,x69892,x69891)),f327(f327(f165(x69893),x69892),f632(x69893,x69892,x69891)))+~E(f327(f191(f916(x69893)),x69891),f327(f191(f916(x69893)),x69892))
% 207.23/207.89 [6994]~E(x69943,f327(f327(f37(a915),x69941),x69942))+~P1(f327(f327(f235(a915),f2(a915)),x69942))+P1(f327(f327(f235(a915),x69941),f327(f327(f81(a915),x69942),f327(a113,x69943))))
% 207.23/207.89 [7010]~P1(f327(x70101,x70103))+~P1(f327(f327(f234(a915),x70103),x70102))+P1(f327(f327(f329(a915),f407(x70101,x70102)),f303(a915,f2(a915),x70102)))
% 207.23/207.89 [7049]~P1(f327(x70491,x70493))+P1(f327(x70491,f416(x70491,x70492)))+~P1(f327(f327(f329(a915),x70493),f303(a915,f2(a915),x70492)))
% 207.23/207.89 [7068]~P126(x70683)+~P1(f327(f327(f234(x70683),f327(f101(x70683),x70681)),f327(f101(x70683),x70682)))+P1(f327(f327(f234(a915),x70681),x70682))
% 207.23/207.89 [7069]~P119(x70693)+~P1(f327(f327(f234(x70693),f327(f104(x70693),x70691)),f327(f104(x70693),x70692)))+P1(f327(f327(f234(a1),x70691),x70692))
% 207.23/207.89 [7071]~P126(x70713)+~P1(f327(f327(f235(x70713),f327(f101(x70713),x70711)),f327(f101(x70713),x70712)))+P1(f327(f327(f235(a915),x70711),x70712))
% 207.23/207.89 [7072]~P119(x70723)+~P1(f327(f327(f235(x70723),f327(f104(x70723),x70721)),f327(f104(x70723),x70722)))+P1(f327(f327(f235(a1),x70721),x70722))
% 207.23/207.89 [7089]~P126(x70891)+~P1(f327(f327(f235(x70891),f78(x70891)),x70892))+P1(f327(f327(f235(x70891),f78(x70891)),f327(f327(f244(x70891),x70892),f327(a113,x70893))))
% 207.23/207.89 [7092]~P78(x70921)+~P1(f327(f327(f234(x70921),f327(f79(x70921),x70923)),f327(f79(x70921),x70922)))+P1(f327(f327(f234(x70921),x70922),x70923))
% 207.23/207.89 [7093]~P86(x70931)+~P1(f327(f327(f234(x70931),f327(f79(x70931),x70933)),f327(f79(x70931),x70932)))+P1(f327(f327(f234(x70931),x70932),x70933))
% 207.23/207.89 [7094]~P78(x70941)+~P1(f327(f327(f235(x70941),f327(f79(x70941),x70943)),f327(f79(x70941),x70942)))+P1(f327(f327(f235(x70941),x70942),x70943))
% 207.23/207.89 [7118]P1(f327(x71181,x71182))+~P1(f327(x71181,f410(x71181,x71183)))+~P1(f327(f327(f329(a915),x71182),f303(a915,f2(a915),x71183)))
% 207.23/207.89 [7138]~P63(x71381)+P1(f327(f327(f235(x71381),f454(x71383,x71382,x71381)),f78(x71381)))+P1(f327(f327(f234(x71381),x71382),x71383))
% 207.23/207.89 [7159]~E(f46(a915,x71593,x71592),f46(a915,x71591,x71592))+E(f327(f327(f80(a915),x71591),f327(f327(f81(a915),x71592),f488(x71591,x71592,x71593))),x71593)+~P1(f327(f327(f234(a915),x71591),x71593))
% 207.23/207.89 [7215]E(f327(f327(f6(x72151,a915),x72152),x72153),f2(a915))+~P1(f327(f35(x72151),x72153))+P1(f327(f327(f329(x72151),f364(x72152,x72153,x72151)),x72153))
% 207.23/207.89 [7216]E(f327(f327(f9(x72161,a915),x72162),x72163),f78(a915))+~P1(f327(f35(x72161),x72163))+P1(f327(f327(f329(x72161),f886(x72162,x72163,x72161)),x72163))
% 207.23/207.89 [7238]~P108(x72381)+~P1(f327(f327(f234(x72381),x72382),x72383))+P1(f327(f327(f234(f922(x72381,a910)),f327(f282(x72381),x72382)),f327(f282(x72381),x72383)))
% 207.23/207.89 [7239]~P108(x72391)+~P1(f327(f327(f234(x72391),x72393),x72392))+P1(f327(f327(f234(f922(x72391,a910)),f327(f304(x72391),x72392)),f327(f304(x72391),x72393)))
% 207.23/207.89 [7240]~P110(x72401)+~P1(f327(f327(f234(x72401),x72403),x72402))+P1(f327(f327(f234(f922(x72401,a910)),f327(f283(x72401),x72402)),f327(f283(x72401),x72403)))
% 207.23/207.89 [7241]~P110(x72411)+~P1(f327(f327(f234(x72411),x72412),x72413))+P1(f327(f327(f234(f922(x72411,a910)),f327(f301(x72411),x72412)),f327(f301(x72411),x72413)))
% 207.23/207.89 [7242]~P108(x72421)+~P1(f327(f327(f235(x72421),x72422),x72423))+P1(f327(f327(f235(f922(x72421,a910)),f327(f282(x72421),x72422)),f327(f282(x72421),x72423)))
% 207.23/207.89 [7253]~P3(x72531)+P1(f327(f327(f234(x72531),x72532),f39(x72531,x72533)))+P1(f327(f327(f329(x72531),f339(x72533,x72532,x72531)),x72533))
% 207.23/207.89 [7259]~P78(x72591)+P1(f327(f327(f234(x72591),f327(f327(f23(x72591),x72592),x72593)),f2(x72591)))+~P1(f327(f327(f234(x72591),x72592),x72593))
% 207.23/207.89 [7260]~P78(x72601)+P1(f327(f327(f235(x72601),f327(f327(f23(x72601),x72602),x72603)),f2(x72601)))+~P1(f327(f327(f235(x72601),x72602),x72603))
% 207.23/207.89 [7302]P1(f327(x73021,x73022))+P1(f327(f327(f234(a915),f410(x73021,x73023)),x73023))+~P1(f327(f327(f329(a915),x73022),f303(a915,f2(a915),x73023)))
% 207.23/207.89 [7344]~E(f327(f327(f6(x73441,a915),x73442),x73443),f78(a915))+~P1(f327(f35(x73441),x73443))+P1(f327(f327(f329(x73441),f363(x73442,x73443,x73441)),x73443))
% 207.23/207.89 [7345]~P1(f327(x73451,x73453))+P1(f327(f327(f234(a915),f416(x73451,x73452)),x73452))+~P1(f327(f327(f329(a915),x73453),f303(a915,f2(a915),x73452)))
% 207.23/207.89 [7385]~P3(x73851)+P1(f327(f327(f329(x73851),f467(x73853,x73852,x73851)),x73852))+P1(f327(f327(f234(x73851),f38(x73851,x73852)),x73853))
% 207.23/207.89 [7419]~E(f327(f327(f6(x74191,a915),x74192),x74193),f327(a113,f2(a915)))+~P1(f327(f35(x74191),x74193))+P1(f327(f327(f329(x74191),f365(x74192,x74193,x74191)),x74193))
% 207.23/207.89 [7430]E(x74301,f2(a915))+P1(f327(x74302,f46(a915,x74303,x74301)))+P1(f327(f327(f235(a915),f465(x74301,x74303,x74302)),x74301))
% 207.23/207.89 [7541]~P1(f327(x75411,x75412))+P1(f327(x75411,f46(a915,x75412,x75413)))+P1(f327(f327(f235(a915),f465(x75413,x75412,x75411)),x75413))
% 207.23/207.89 [7653]E(x76531,f114(x76532))+~P1(f327(f327(f329(f916(x76532)),x76531),f162(x76532,x76533)))+P1(f327(f327(f329(x76532),f685(x76533,x76531,x76532)),x76533))
% 207.23/207.89 [7675]~P108(x76751)+E(f327(f327(f102(f922(x76751,a910)),f327(f327(f309(x76751),x76752),f190(f922(x76751,a910)))),f306(x76751,x76752,x76753)),f327(f302(x76751,x76752),x76753))+~P1(f327(f327(f235(x76751),x76752),x76753))
% 207.23/207.89 [7697]~P108(x76971)+E(f327(f327(f102(f922(x76971,a910)),f327(f327(f309(x76971),x76972),f190(f922(x76971,a910)))),f305(x76971,x76972,x76973)),f303(x76971,x76972,x76973))+~P1(f327(f327(f234(x76971),x76972),x76973))
% 207.23/207.89 [7807]~P108(x78071)+P1(f327(f327(f234(x78071),x78072),x78073))+~P1(f327(f327(f234(f922(x78071,a910)),f327(f304(x78071),x78073)),f327(f304(x78071),x78072)))
% 207.23/207.89 [7808]~P110(x78081)+P1(f327(f327(f234(x78081),x78082),x78083))+~P1(f327(f327(f234(f922(x78081,a910)),f327(f283(x78081),x78083)),f327(f283(x78081),x78082)))
% 207.23/207.89 [7809]~P108(x78091)+P1(f327(f327(f234(x78091),x78092),x78093))+~P1(f327(f327(f234(f922(x78091,a910)),f327(f282(x78091),x78092)),f327(f282(x78091),x78093)))
% 207.23/207.89 [7810]~P110(x78101)+P1(f327(f327(f234(x78101),x78102),x78103))+~P1(f327(f327(f234(f922(x78101,a910)),f327(f301(x78101),x78102)),f327(f301(x78101),x78103)))
% 207.23/207.89 [7811]~P108(x78111)+P1(f327(f327(f235(x78111),x78112),x78113))+~P1(f327(f327(f235(f922(x78111,a910)),f327(f282(x78111),x78112)),f327(f282(x78111),x78113)))
% 207.23/207.89 [7834]~P78(x78341)+~P1(f327(f327(f234(x78341),f327(f327(f23(x78341),x78342),x78343)),f2(x78341)))+P1(f327(f327(f234(x78341),x78342),x78343))
% 207.23/207.89 [7835]~P78(x78351)+~P1(f327(f327(f235(x78351),f327(f327(f23(x78351),x78352),x78353)),f2(x78351)))+P1(f327(f327(f235(x78351),x78352),x78353))
% 207.23/207.89 [7989]E(x79891,f2(a915))+~E(f327(f143(a915,a915,f80(a915),x79892),x79893),f2(a915))+~P1(f327(f327(f329(a915),x79891),f327(f173(a915),x79893)))
% 207.23/207.89 [7993]~P3(x79931)+~P1(f327(f327(f234(x79931),f467(x79933,x79932,x79931)),x79933))+P1(f327(f327(f234(x79931),f38(x79931,x79932)),x79933))
% 207.23/207.89 [8147]P1(f327(f327(f234(a1),f2(a1)),f460(x81471,x81472,x81473)))+P1(f327(f327(x81472,f327(f327(f37(a1),x81471),x81473)),f46(a1,x81471,x81473)))+~P1(f327(f327(f235(a1),f2(a1)),x81473))
% 207.23/207.89 [8235]E(x82351,x82352)+~E(f327(f191(f916(x82353)),x82351),f327(f191(f916(x82353)),x82352))+~P1(f327(f327(f257(x82353,x82353,a910),a324),f658(x82353,x82351,x82352)))
% 207.23/207.89 [8306]~P35(x83062,x83063)+E(x83061,f190(f922(x83062,a910)))+~P1(f327(f327(f234(f922(x83062,a910)),x83061),f327(f285(x83062,x83062,x83063),x83061)))
% 207.23/207.89 [8337]~P64(x83371)+~P1(f327(f327(f234(x83371),x83372),f327(f327(f80(x83371),x83373),f763(x83373,x83372,x83371))))+P1(f327(f327(f234(x83371),x83372),x83373))
% 207.23/207.89 [8372]P50(x83721,x83722,x83723)+P1(f327(f327(f329(x83721),f570(x83723,x83722,x83721)),x83722))+P1(f327(f327(f329(f921(x83721,x83721)),f571(x83723,x83722,x83721)),x83723))
% 207.23/207.89 [8393]P1(f327(f327(x83932,f327(f327(f37(a1),x83931),x83933)),f46(a1,x83931,x83933)))+~P1(f327(f327(f235(a1),f2(a1)),x83933))+P1(f327(f327(f235(a1),f460(x83931,x83932,x83933)),x83933))
% 207.23/207.89 [8417]E(f327(f310(a915,a915,f327(f327(f7(a915,a915,a915),f23(a915)),x84171)),f327(f302(a915,x84172),x84173)),f190(f922(a915,a910)))+P1(f327(f327(f235(a915),x84171),x84173))+P1(f327(f327(f235(a915),x84172),x84173))
% 207.23/207.89 [8527]E(f327(f310(a915,a915,f327(f327(f7(a915,a915,a915),f23(a915)),x85271)),f327(f302(a915,x85272),x85273)),f327(f327(f309(a915),f2(a915)),f190(f922(a915,a910))))+P1(f327(f327(f235(a915),x85271),x85273))+~P1(f327(f327(f235(a915),x85272),x85273))
% 207.23/207.89 [8541]~P108(x85411)+E(f150(x85411,x85411,f5(x85411),x85412,x85413),x85413)+~P1(f327(f327(f329(x85411),x85412),f327(f173(x85411),x85413)))
% 207.23/207.89 [8554]P23(x85541,x85541,x85542,x85543)+~P1(f327(f35(x85541),x85543))+~P1(f327(f327(f234(f922(x85541,a910)),x85543),f327(f310(x85541,x85541,x85542),x85543)))
% 207.23/207.89 [8580]E(f327(f327(f80(a1),f327(f327(f81(a1),x85801),f461(x85802,x85803,x85801))),f460(x85802,x85803,x85801)),x85802)+P1(f327(f327(x85803,f327(f327(f37(a1),x85802),x85801)),f46(a1,x85802,x85801)))+~P1(f327(f327(f235(a1),f2(a1)),x85801))
% 207.23/207.89 [8817]~P1(f327(f327(x88171,f461(x88172,x88171,x88173)),f460(x88172,x88171,x88173)))+P1(f327(f327(x88171,f327(f327(f37(a1),x88172),x88173)),f46(a1,x88172,x88173)))+~P1(f327(f327(f235(a1),f2(a1)),x88173))
% 207.23/207.89 [9704]~P1(f327(f35(x97041),x97042))+~P1(f327(f327(f329(x97041),x97043),x97042))+P1(f327(f327(f235(a915),f327(f36(x97041),f327(f327(f23(f922(x97041,a910)),x97042),f327(f327(f309(x97041),x97043),f190(f922(x97041,a910)))))),f327(f36(x97041),x97042)))
% 207.23/207.89 [10311]P50(x103111,x103112,x103113)+~P1(f327(f327(f257(x103111,x103111,a910),f327(f327(f7(x103111,f922(x103111,a910),f922(x103111,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x103111,a910),f922(x103111,a910)),x103111),f8(a910,a910,x103111)),f327(f327(f8(a910,f922(a910,a910),x103111),a325),f327(f327(f7(x103111,f922(x103111,a910),a910),f329(x103111)),x103112)))),f327(f327(f7(x103111,f922(x103111,a910),a910),f329(x103111)),x103112))),f571(x103113,x103112,x103111)))+P1(f327(f327(f329(x103111),f570(x103113,x103112,x103111)),x103112))
% 207.23/207.89 [5645]~P122(x56452)+E(x56451,f2(x56452))+E(f327(f327(f291(x56452),x56453),f327(f79(x56452),x56451)),f327(f79(x56452),f327(f327(f291(x56452),x56453),x56451)))
% 207.23/207.89 [5786]~E(x57863,f190(f922(x57861,a910)))+~E(x57862,f190(f922(x57861,a910)))+E(f327(f327(f102(f922(x57861,a910)),x57862),x57863),f190(f922(x57861,a910)))
% 207.23/207.89 [5844]~E(x58443,f2(a915))+~P1(f327(x58441,f2(a915)))+P1(f327(x58441,f327(f327(f37(a915),x58442),x58443)))
% 207.23/207.89 [5987]~P64(x59872)+E(x59871,f2(x59872))+E(f327(f327(f291(x59872),f327(f75(x59872),x59873)),f327(f75(x59872),x59871)),f327(f75(x59872),f327(f327(f291(x59872),x59873),x59871)))
% 207.23/207.89 [6106]~P58(x61061)+E(f327(f327(f81(x61061),x61062),f327(f327(f37(x61061),x61063),x61062)),x61063)+~P1(f327(f327(f287(x61061),x61062),x61063))
% 207.23/207.89 [6161]~P1(f327(f35(x61611),x61613))+E(f327(f36(x61611),f327(f327(f309(x61611),x61612),x61613)),f327(a113,f327(f36(x61611),x61613)))+P1(f327(f327(f329(x61611),x61612),x61613))
% 207.23/207.89 [6240]~E(x62402,f2(a915))+P1(f327(x62401,f2(a915)))+~P1(f327(x62401,f327(f327(f37(a915),x62403),x62402)))
% 207.23/207.89 [6257]~P1(f327(f35(x62571),x62573))+E(f327(f36(x62571),f327(f327(f309(x62571),x62572),x62573)),f327(f36(x62571),x62573))+~P1(f327(f327(f329(x62571),x62572),x62573))
% 207.23/207.89 [6294]~P1(f327(f35(x62941),x62943))+E(f327(f36(x62941),f327(f327(f309(x62941),x62942),x62943)),f327(f327(f80(a915),f78(a915)),f327(f36(x62941),x62943)))+P1(f327(f327(f329(x62941),x62942),x62943))
% 207.23/207.89 [6301]~P59(x63011)+E(f327(f327(f37(x63011),x63012),f327(f79(x63011),x63013)),f327(f79(x63011),f327(f327(f37(x63011),x63012),x63013)))+~P1(f327(f327(f287(x63011),x63013),x63012))
% 207.23/207.89 [6413]E(f327(f327(f80(a915),x64131),f366(x64131,x64132,x64133)),x64132)+~P1(f327(x64133,f2(a915)))+P1(f327(x64133,f327(f327(f23(a915),x64132),x64131)))
% 207.23/207.89 [6414]E(f327(f327(f80(a915),x64141),f367(x64141,x64142,x64143)),x64142)+~P1(f327(x64143,f2(a915)))+P1(f327(x64143,f327(f327(f23(a915),x64142),x64141)))
% 207.23/207.89 [6437]~P59(x64371)+E(f327(f327(f37(x64371),f327(f79(x64371),x64372)),x64373),f327(f79(x64371),f327(f327(f37(x64371),x64372),x64373)))+~P1(f327(f327(f287(x64371),x64373),x64372))
% 207.23/207.89 [6461]~P3(x64611)+~P1(f327(f35(x64611),x64613))+E(f327(f327(f64(x64611,x64611,f102(x64611)),x64612),x64613),f327(f327(f102(x64611),x64612),f38(x64611,x64613)))
% 207.23/207.89 [6462]~P3(x64621)+~P1(f327(f35(x64621),x64623))+E(f327(f327(f64(x64621,x64621,f103(x64621)),x64622),x64623),f327(f327(f103(x64621),x64622),f39(x64621,x64623)))
% 207.23/207.89 [6468]~P93(x64681)+~E(f327(f105(x64681),x64682),f327(f105(x64681),x64683))+P26(x64681,f327(f105(x64681),f327(f327(f80(a1),x64682),f327(f79(a1),x64683))))
% 207.23/207.89 [6477]~P142(x64771)+E(f327(f327(f23(x64771),f327(f101(x64771),x64772)),f327(f101(x64771),x64773)),f327(f101(x64771),f327(f327(f23(a915),x64772),x64773)))+~P1(f327(f327(f234(a915),x64773),x64772))
% 207.23/207.89 [6484]~P114(x64841)+~P1(f327(f327(f287(x64841),x64842),x64843))+P1(f327(f327(f287(x64841),f327(f79(x64841),x64842)),x64843))
% 207.23/207.89 [6567]E(f327(f327(f80(a915),x65671),f366(x65671,x65672,x65673)),x65672)+P1(f327(f327(f235(a915),x65672),x65671))+P1(f327(x65673,f327(f327(f23(a915),x65672),x65671)))
% 207.23/207.89 [6568]E(f327(f327(f80(a915),x65681),f367(x65681,x65682,x65683)),x65682)+P1(f327(f327(f235(a915),x65682),x65681))+P1(f327(x65683,f327(f327(f23(a915),x65682),x65681)))
% 207.23/207.89 [6582]~P119(x65821)+E(f327(f327(f81(x65821),f327(f75(x65821),x65822)),x65823),f327(f75(x65821),f327(f327(f81(x65821),x65822),x65823)))+~P1(f327(f327(f234(x65821),f2(x65821)),x65823))
% 207.23/207.89 [6583]~P63(x65831)+E(f327(f327(f291(x65831),f327(f75(x65831),x65832)),x65833),f327(f75(x65831),f327(f327(f291(x65831),x65832),x65833)))+~P1(f327(f327(f235(x65831),f2(x65831)),x65833))
% 207.23/207.89 [6591]~P108(x65911)+~P1(f327(f35(x65911),x65913))+E(f327(f327(f64(x65911,x65911,f189(x65911)),x65912),x65913),f14(x65911,f327(f327(f309(x65911),x65912),x65913)))
% 207.23/207.89 [6592]~P108(x65921)+~P1(f327(f35(x65921),x65923))+E(f327(f327(f64(x65921,x65921,f238(x65921)),x65922),x65923),f15(x65921,f327(f327(f309(x65921),x65922),x65923)))
% 207.23/207.89 [6593]~P96(x65931)+~P1(f327(f35(x65931),x65933))+E(f327(f327(f64(x65931,x65931,f102(x65931)),x65932),x65933),f13(x65931,f327(f327(f309(x65931),x65932),x65933)))
% 207.23/207.89 [6594]~P96(x65941)+~P1(f327(f35(x65941),x65943))+E(f327(f327(f64(x65941,x65941,f103(x65941)),x65942),x65943),f10(x65941,f327(f327(f309(x65941),x65942),x65943)))
% 207.23/207.89 [6639]E(x66391,f114(x66392))+~E(f180(x66392,x66393),f114(f916(x66392)))+~P1(f327(f327(f329(f916(x66392)),x66391),f327(f173(f916(x66392)),x66393)))
% 207.23/207.89 [6683]~P1(f327(f138(x66831),x66833))+P1(f327(f327(f329(x66831),x66832),f327(f173(x66831),x66833)))+P1(f327(f138(x66831),f327(f327(f152(x66831),x66832),x66833)))
% 207.23/207.89 [6694]~P95(x66941)+~P1(f327(f35(x66941),x66943))+E(f327(f63(x66941,f81(x66941)),f327(f327(f309(x66941),x66942),x66943)),f327(f327(f64(x66941,x66941,f81(x66941)),x66942),x66943))
% 207.23/207.89 [6716]~P108(x67161)+~P1(f327(f35(x67161),x67163))+E(f11(x67161,f189(x67161),f327(f327(f309(x67161),x67162),x67163)),f327(f327(f64(x67161,x67161,f189(x67161)),x67162),x67163))
% 207.23/207.89 [6717]~P108(x67171)+~P1(f327(f35(x67171),x67173))+E(f12(x67171,f238(x67171),f327(f327(f309(x67171),x67172),x67173)),f327(f327(f64(x67171,x67171,f238(x67171)),x67172),x67173))
% 207.23/207.89 [6719]P1(f327(x67191,f2(a915)))+~P1(f327(f327(f235(a915),x67192),x67193))+~P1(f327(x67191,f327(f327(f23(a915),x67192),x67193)))
% 207.23/207.89 [6740]~P84(x67401)+P1(f327(f327(f234(x67401),x67402),x67403))+~P1(f327(f327(f234(x67401),f327(f75(x67401),x67402)),x67403))
% 207.23/207.89 [6741]~P119(x67411)+P1(f327(f327(f235(x67411),x67412),x67413))+~P1(f327(f327(f235(x67411),f327(f75(x67411),x67412)),x67413))
% 207.23/207.89 [6742]~P114(x67421)+P1(f327(f327(f287(x67421),x67422),x67423))+~P1(f327(f327(f287(x67421),f327(f79(x67421),x67422)),x67423))
% 207.23/207.89 [6759]E(x67591,f114(x67592))+E(f327(f142(x67592),f327(f327(f139(x67592),x67593),x67591)),f327(f327(f165(x67592),x67591),x67593))+~P1(f327(f327(f235(a915),x67593),f327(f191(f916(x67592)),x67591)))
% 207.23/207.89 [6811]~P1(f327(x68111,x68113))+P1(f327(x68111,f392(x68111,x68112)))+~P1(f327(f327(f329(a915),x68113),f327(f302(a915,f2(a915)),x68112)))
% 207.23/207.89 [6831]P1(f327(x68311,x68312))+~P1(f327(f327(f235(a915),x68312),x68313))+P1(f327(f327(f329(a915),f389(x68311,x68313)),f327(f302(a915,f2(a915)),x68313)))
% 207.23/207.89 [6846]~P126(x68461)+~P1(f327(f327(f234(x68461),f78(x68461)),x68462))+P1(f327(f327(f234(x68461),f78(x68461)),f327(f327(f244(x68461),x68462),x68463)))
% 207.23/207.89 [6848]~P126(x68481)+~P1(f327(f327(f234(x68481),f2(x68481)),x68482))+P1(f327(f327(f234(x68481),f2(x68481)),f327(f327(f244(x68481),x68482),x68483)))
% 207.23/207.89 [6850]~P126(x68501)+~P1(f327(f327(f235(x68501),f2(x68501)),x68502))+P1(f327(f327(f235(x68501),f2(x68501)),f327(f327(f244(x68501),x68502),x68503)))
% 207.23/207.89 [6875]~P1(f327(x68751,x68753))+~P1(f327(f327(f235(a915),x68753),x68752))+P1(f327(f327(f329(a915),f388(x68751,x68752)),f327(f302(a915,f2(a915)),x68752)))
% 207.23/207.89 [6883]P1(f327(f35(x68831),x68832))+~P1(f327(f35(x68831),x68833))+~P1(f327(f327(f234(f922(x68831,a910)),x68832),x68833))
% 207.23/207.89 [6890]P1(f327(x68901,x68902))+~P1(f327(x68901,f390(x68901,x68903)))+~P1(f327(f327(f329(a915),x68902),f327(f302(a915,f2(a915)),x68903)))
% 207.23/207.89 [6903]E(x69031,f2(a915))+P1(f327(x69032,f393(x69031,x69033,x69032)))+~P1(f327(x69032,f327(f327(f37(a915),x69033),x69031)))
% 207.23/207.89 [6911]~P127(x69112)+E(x69111,f2(x69112))+~E(f327(f327(f80(x69112),f327(f327(f81(x69112),x69113),x69113)),f327(f327(f81(x69112),x69111),x69111)),f2(x69112))
% 207.23/207.89 [6912]~P127(x69122)+E(x69121,f2(x69122))+~E(f327(f327(f80(x69122),f327(f327(f81(x69122),x69121),x69121)),f327(f327(f81(x69122),x69123),x69123)),f2(x69122))
% 207.23/207.89 [6956]E(x69561,f2(a915))+~P1(f327(x69562,f394(x69561,x69563,x69562)))+P1(f327(x69562,f327(f327(f37(a915),x69563),x69561)))
% 207.23/207.89 [6961]~P108(x69611)+~P11(x69611,x69613)+P11(x69611,f327(f327(f149(x69611,x69611,f5(x69611)),x69612),x69613))
% 207.23/207.89 [7003]P1(f327(x70031,f393(x70032,x70033,x70031)))+P1(f327(x70031,f2(a915)))+~P1(f327(x70031,f327(f327(f37(a915),x70033),x70032)))
% 207.23/207.89 [7009]~P93(x70091)+E(f327(f105(x70091),x70092),f327(f105(x70091),x70093))+~P26(x70091,f327(f105(x70091),f327(f327(f80(a1),x70092),f327(f79(a1),x70093))))
% 207.23/207.89 [7075]E(x70751,f2(a1))+E(x70752,f2(a1))+~P1(f327(f50(x70752,x70752),f327(f327(f252(a1,a1),x70753),x70751)))
% 207.23/207.89 [7076]E(x70761,f78(a1))+E(x70762,f2(a1))+~P1(f327(f50(x70762,x70762),f327(f327(f252(a1,a1),x70761),x70763)))
% 207.23/207.89 [7091]P1(f327(x70911,x70912))+P1(f327(f327(f235(a915),f390(x70911,x70913)),x70913))+~P1(f327(f327(f329(a915),x70912),f327(f302(a915,f2(a915)),x70913)))
% 207.23/207.89 [7114]~P1(f327(x71141,f366(x71143,x71142,x71141)))+~P1(f327(x71141,f2(a915)))+P1(f327(x71141,f327(f327(f23(a915),x71142),x71143)))
% 207.23/207.89 [7115]~P1(f327(x71151,f367(x71153,x71152,x71151)))+~P1(f327(x71151,f2(a915)))+P1(f327(x71151,f327(f327(f23(a915),x71152),x71153)))
% 207.23/207.89 [7116]~P1(f327(x71161,f394(x71163,x71162,x71161)))+~P1(f327(x71161,f2(a915)))+P1(f327(x71161,f327(f327(f37(a915),x71162),x71163)))
% 207.23/207.89 [7134]~P1(f327(x71341,x71343))+P1(f327(f327(f235(a915),f392(x71341,x71342)),x71342))+~P1(f327(f327(f329(a915),x71343),f327(f302(a915,f2(a915)),x71342)))
% 207.23/207.89 [7135]E(f327(f327(f23(a915),f327(f327(f23(a915),x71351),x71352)),f327(f327(f23(a915),x71353),x71352)),f327(f327(f23(a915),x71351),x71353))+~P1(f327(f327(f234(a915),x71352),x71351))+~P1(f327(f327(f234(a915),x71352),x71353))
% 207.23/207.89 [7172]~P78(x71721)+~P1(f327(f327(f234(x71721),f327(f79(x71721),x71723)),x71722))+P1(f327(f327(f234(x71721),f327(f79(x71721),x71722)),x71723))
% 207.23/207.89 [7174]~P84(x71741)+~P1(f327(f327(f234(x71741),f327(f75(x71741),x71742)),x71743))+P1(f327(f327(f234(x71741),f327(f79(x71741),x71742)),x71743))
% 207.23/207.89 [7176]~P78(x71761)+~P1(f327(f327(f235(x71761),f327(f79(x71761),x71763)),x71762))+P1(f327(f327(f235(x71761),f327(f79(x71761),x71762)),x71763))
% 207.23/207.89 [7177]~P119(x71771)+~P1(f327(f327(f235(x71771),f327(f75(x71771),x71772)),x71773))+P1(f327(f327(f235(x71771),f327(f79(x71771),x71772)),x71773))
% 207.23/207.89 [7210]~P1(f327(x72103,f366(x72102,x72101,x72103)))+P1(f327(f327(f235(a915),x72101),x72102))+P1(f327(x72103,f327(f327(f23(a915),x72101),x72102)))
% 207.23/207.89 [7211]~P1(f327(x72113,f367(x72112,x72111,x72113)))+P1(f327(f327(f235(a915),x72111),x72112))+P1(f327(x72113,f327(f327(f23(a915),x72111),x72112)))
% 207.23/207.89 [7263]~E(f475(x72633,x72632,x72631),f476(x72633,x72632,x72631))+E(f327(f327(f103(f922(x72631,a910)),x72632),f38(f922(x72631,a910),x72633)),f190(f922(x72631,a910)))+P1(f327(f327(f329(f922(x72631,a910)),x72632),x72633))
% 207.23/207.89 [7271]~P1(f327(f35(x72711),x72713))+P1(f327(f35(x72711),f39(f922(x72711,a910),x72712)))+~P1(f327(f327(f329(f922(x72711,a910)),x72713),x72712))
% 207.23/207.89 [7331]~P108(x73311)+E(f327(f327(f102(f922(x73311,a910)),f327(f302(x73311,x73312),x73313)),f327(f327(f309(x73311),x73313),f190(f922(x73311,a910)))),f303(x73311,x73312,x73313))+~P1(f327(f327(f234(x73311),x73312),x73313))
% 207.23/207.89 [7334]E(x73341,f2(a915))+P1(f327(f327(f235(a915),f400(x73341,x73343,x73342)),x73341))+P1(f327(x73342,f327(f327(f37(a915),x73343),x73341)))
% 207.23/207.89 [7363]P1(f327(f327(f235(a915),f327(f191(f916(x73631)),x73632)),f775(x73633,x73631)))+~P1(f327(f35(f916(x73631)),x73633))+~P1(f327(f327(f329(f916(x73631)),x73632),x73633))
% 207.23/207.89 [7369]E(x73691,x73692)+~P1(f327(f327(f234(f922(x73693,a910)),x73691),x73692))+P1(f327(f327(f235(f922(x73693,a910)),x73691),x73692))
% 207.23/207.89 [7382]E(x73821,x73822)+~E(f327(f191(f916(x73823)),x73821),f327(f191(f916(x73823)),x73822))+P1(f327(f327(f235(a915),f632(x73823,x73821,x73822)),f327(f191(f916(x73823)),x73822)))
% 207.23/207.89 [7431]P6(x74311,x74312,x74313)+~E(f327(f264(x74311,x74311),x74313),x74312)+~E(f327(f327(f289(x74311,x74311,x74311),f327(f286(x74311,x74311),x74313)),x74313),x74313)
% 207.23/207.89 [7511]~P1(f327(x75111,f2(a915)))+P1(f327(f327(f235(a915),f400(x75113,x75112,x75111)),x75113))+P1(f327(x75111,f327(f327(f37(a915),x75112),x75113)))
% 207.23/207.89 [7520]~P108(x75201)+E(f327(f327(f102(f922(x75201,a910)),f306(x75201,x75202,x75203)),f327(f327(f309(x75201),x75203),f190(f922(x75201,a910)))),f305(x75201,x75202,x75203))+~P1(f327(f327(f235(x75201),x75202),x75203))
% 207.23/207.89 [7610]~P1(f327(f35(x76101),x76103))+P1(f327(f327(f234(a915),f327(f36(x76101),x76102)),f327(f36(x76101),x76103)))+~P1(f327(f327(f234(f922(x76101,a910)),x76102),x76103))
% 207.23/207.89 [7611]~P1(f327(f35(x76111),x76113))+P1(f327(f327(f235(a915),f327(f36(x76111),x76112)),f327(f36(x76111),x76113)))+~P1(f327(f327(f235(f922(x76111,a910)),x76112),x76113))
% 207.23/207.89 [7742]E(x77421,x77422)+~P1(f327(f327(f234(f922(x77423,a910)),x77422),x77421))+~P1(f327(f327(f234(f922(x77423,a910)),x77421),x77422))
% 207.23/207.89 [7745]~P108(x77451)+P11(x77451,x77452)+~P11(x77451,f327(f327(f149(x77451,x77451,f5(x77451)),x77453),x77452))
% 207.23/207.89 [7816]~P1(f327(f327(f235(a915),x78163),x78162))+~P1(f327(f327(f235(a915),x78163),x78161))+P1(f327(f327(f235(a915),f327(f327(f23(a915),x78161),x78162)),f327(f327(f23(a915),x78161),x78163)))
% 207.23/207.89 [7817]~P1(f327(f327(f234(a915),x78172),x78171))+~P1(f327(f327(f235(a915),x78171),x78173))+P1(f327(f327(f235(a915),f327(f327(f23(a915),x78171),x78172)),f327(f327(f23(a915),x78173),x78172)))
% 207.23/207.89 [7832]~P1(f327(f327(f235(a1),x78322),f2(a1)))+~P1(f327(f327(f234(a1),x78323),x78321))+P1(f327(f327(f234(a1),f327(f327(f37(a1),x78321),x78322)),f327(f327(f37(a1),x78323),x78322)))
% 207.23/207.89 [7849]~P1(f327(f327(f235(a915),f2(a915)),x78493))+~P1(f327(f327(f234(a915),x78493),x78492))+P1(f327(f327(f234(a915),f327(f327(f37(a915),x78491),x78492)),f327(f327(f37(a915),x78491),x78493)))
% 207.23/207.89 [7850]~P1(f327(f327(f235(a1),f2(a1)),x78502))+~P1(f327(f327(f234(a1),x78501),x78503))+P1(f327(f327(f234(a1),f327(f327(f37(a1),x78501),x78502)),f327(f327(f37(a1),x78503),x78502)))
% 207.23/207.89 [7854]~P1(f327(f327(f235(a915),f2(a915)),x78542))+~P1(f327(f327(f235(a915),x78541),x78543))+P1(f327(f327(f235(a915),f327(f327(f81(a915),x78541),x78542)),f327(f327(f81(a915),x78543),x78542)))
% 207.23/207.89 [7855]~P1(f327(f327(f235(a915),f2(a915)),x78551))+~P1(f327(f327(f235(a915),x78552),x78553))+P1(f327(f327(f235(a915),f327(f327(f81(a915),x78551),x78552)),f327(f327(f81(a915),x78551),x78553)))
% 207.23/207.89 [7856]~P1(f327(f327(f235(a1),f2(a1)),x78561))+~P1(f327(f327(f235(a1),x78562),x78563))+P1(f327(f327(f235(a1),f327(f327(f81(a1),x78561),x78562)),f327(f327(f81(a1),x78561),x78563)))
% 207.23/207.89 [7904]E(x79041,f2(a915))+E(f327(f327(f80(a915),f327(f327(f81(a915),x79041),f394(x79041,x79042,x79043))),f400(x79041,x79042,x79043)),x79042)+P1(f327(x79043,f327(f327(f37(a915),x79042),x79041)))
% 207.23/207.89 [7963]E(f327(f327(f80(a915),f327(f327(f81(a915),x79631),f394(x79631,x79632,x79633))),f400(x79631,x79632,x79633)),x79632)+~P1(f327(x79633,f2(a915)))+P1(f327(x79633,f327(f327(f37(a915),x79632),x79631)))
% 207.23/207.89 [7980]~P1(f327(f35(x79801),x79803))+P1(f327(f327(f329(x79801),f372(x79802,x79803,x79801)),x79803))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f9(x79801,a915),x79802),x79803)))
% 207.23/207.89 [7981]~P1(f327(f35(x79811),x79813))+P1(f327(f327(f329(x79811),f477(x79812,x79813,x79811)),x79813))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f9(x79811,a915),x79812),x79813)))
% 207.23/207.89 [8081]E(x80811,f2(a915))+P1(f327(f327(f287(a915),x80812),x80813))+~P1(f327(f327(f287(a915),f327(f327(f81(a915),x80811),x80812)),f327(f327(f81(a915),x80811),x80813)))
% 207.23/207.89 [8271]E(x82711,f190(f922(x82712,a910)))+E(x82711,f327(f327(f309(x82712),x82713),f190(f922(x82712,a910))))+~P1(f327(f327(f234(f922(x82712,a910)),x82711),f327(f327(f309(x82712),x82713),f190(f922(x82712,a910)))))
% 207.23/207.89 [8307]~P1(f327(f327(f235(a915),f78(a915)),x83073))+P1(f327(f327(f234(a915),x83071),x83072))+~P1(f327(f327(f287(a915),f327(f327(f244(a915),x83073),x83071)),f327(f327(f244(a915),x83073),x83072)))
% 207.23/207.89 [8309]~P1(f327(f327(f235(a915),f2(a915)),x83093))+P1(f327(f327(f234(a915),x83091),x83092))+~P1(f327(f327(f234(a915),f327(f327(f81(a915),x83093),x83091)),f327(f327(f81(a915),x83093),x83092)))
% 207.23/207.89 [8310]~P1(f327(f327(f235(a915),f2(a915)),x83103))+P1(f327(f327(f234(a915),x83101),x83102))+~P1(f327(f327(f234(a915),f327(f327(f81(a915),x83101),x83103)),f327(f327(f81(a915),x83102),x83103)))
% 207.23/207.89 [8312]~P1(f327(f327(f235(a915),f2(a915)),x83123))+P1(f327(f327(f235(a915),x83121),x83122))+~P1(f327(f327(f235(a915),f327(f327(f244(a915),x83123),x83121)),f327(f327(f244(a915),x83123),x83122)))
% 207.23/207.89 [8314]~P1(f327(f327(f235(a915),f2(a915)),x83143))+P1(f327(f327(f287(a915),x83141),x83142))+~P1(f327(f327(f287(a915),f327(f327(f81(a915),x83143),x83141)),f327(f327(f81(a915),x83143),x83142)))
% 207.23/207.89 [8353]~E(f327(f327(f103(f922(x83531,a910)),f476(x83533,x83532,x83531)),f475(x83533,x83532,x83531)),f190(f922(x83531,a910)))+E(f327(f327(f103(f922(x83531,a910)),x83532),f38(f922(x83531,a910),x83533)),f190(f922(x83531,a910)))+P1(f327(f327(f329(f922(x83531,a910)),x83532),x83533))
% 207.23/207.89 [8367]E(x83671,f114(x83672))+~E(f327(f143(f916(x83672),f916(x83672),f135(x83672),f114(x83672)),x83673),f114(x83672))+~P1(f327(f327(f329(f916(x83672)),x83671),f327(f173(f916(x83672)),x83673)))
% 207.23/207.89 [8422]E(x84221,f190(f922(f922(x84222,a910),a910)))+P1(f327(f327(f329(f922(x84222,a910)),f473(x84223,x84221,x84222)),x84221))+P1(f327(f327(f234(f922(x84222,a910)),f39(f922(x84222,a910),x84221)),x84223))
% 207.23/207.89 [8428]~P68(x84281)+~P75(x84281)+E(f327(f327(f6(a1,x84281),f327(f327(f8(a915,x84281,a1),x84282),a106)),f327(f310(a915,a1,f101(a1)),x84283)),f327(f327(f6(a915,x84281),x84282),x84283))
% 207.23/207.89 [8429]~P68(x84291)+~P75(x84291)+E(f327(f327(f9(a1,x84291),f327(f327(f8(a915,x84291,a1),x84292),a106)),f327(f310(a915,a1,f101(a1)),x84293)),f327(f327(f9(a915,x84291),x84292),x84293))
% 207.23/207.89 [8471]~P1(f327(f35(x84711),x84713))+~P1(f327(f327(f235(a915),f2(a915)),f327(x84712,f372(x84712,x84713,x84711))))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f9(x84711,a915),x84712),x84713)))
% 207.23/207.89 [8472]~P1(f327(f35(x84721),x84723))+~P1(f327(f327(f235(a915),f2(a915)),f327(x84722,f477(x84722,x84723,x84721))))+P1(f327(f327(f235(a915),f2(a915)),f327(f327(f9(x84721,a915),x84722),x84723)))
% 207.23/207.89 [8508]~P62(x85082)+E(x85081,f78(x85082))+E(f327(f327(f291(x85082),f327(f327(f23(x85082),f327(f327(f244(x85082),x85081),x85083)),f78(x85082))),f327(f327(f23(x85082),x85081),f78(x85082))),f327(f327(f6(a915,x85082),f327(f244(x85082),x85081)),f327(f302(a915,f2(a915)),x85083)))
% 207.23/207.89 [8565]E(x85651,f2(a915))+~P1(f327(x85653,f327(f327(f37(a915),x85652),x85651)))+P1(f327(f327(f235(a915),x85652),f327(f327(f81(a915),x85651),f327(a113,f393(x85651,x85652,x85653)))))
% 207.23/207.89 [8584]P1(f327(x85841,f2(a915)))+~P1(f327(x85841,f327(f327(f37(a915),x85842),x85843)))+P1(f327(f327(f235(a915),x85842),f327(f327(f81(a915),x85843),f327(a113,f393(x85843,x85842,x85841)))))
% 207.23/207.89 [8622]E(x86221,f2(a915))+~P1(f327(x86223,f327(f327(f37(a915),x86222),x86221)))+P1(f327(f327(f234(a915),f327(f327(f81(a915),x86221),f393(x86221,x86222,x86223))),x86222))
% 207.23/207.89 [8653]P1(f327(x86531,f2(a915)))+~P1(f327(x86531,f327(f327(f37(a915),x86533),x86532)))+P1(f327(f327(f234(a915),f327(f327(f81(a915),x86532),f393(x86532,x86533,x86531))),x86533))
% 207.23/207.89 [8661]~P108(x86611)+E(f327(f327(f149(x86611,x86611,f5(x86611)),x86612),x86613),f150(x86611,x86611,f5(x86611),x86612,x86613))+P1(f327(f327(f329(x86611),x86612),f327(f173(x86611),x86613)))
% 207.23/207.89 [8696]~E(f327(x86963,f576(x86962,x86963,x86961)),f327(x86963,f580(x86962,x86963,x86961)))+~P57(x86961,f327(x86963,f577(x86962,x86963,x86961)))+P57(x86961,f327(f327(f40(x86962,f922(x86961,f922(x86961,a910))),f242(f922(x86962,a910))),x86963))
% 207.23/207.89 [8705]E(x87051,f190(f922(f922(x87052,a910),a910)))+~P1(f327(f327(f234(f922(x87052,a910)),f473(x87053,x87051,x87052)),x87053))+P1(f327(f327(f234(f922(x87052,a910)),f39(f922(x87052,a910),x87051)),x87053))
% 207.23/207.89 [8765]~P64(x87651)+~P1(f327(f327(f235(x87651),x87652),x87653))+P1(f327(f327(f235(x87651),x87652),f327(f327(f291(x87651),f327(f327(f80(x87651),x87652),x87653)),f327(f327(f80(x87651),f78(x87651)),f78(x87651)))))
% 207.23/207.89 [8823]~P1(f327(f327(x88231,f515(x88231,x88233,x88232)),f521(x88231,x88233,x88232)))+P1(f327(f327(x88231,x88232),x88233))+~P1(f327(f315(f921(a1,a1),a53),f327(f327(f252(a1,a1),x88232),x88233)))
% 207.23/207.89 [8824]~P1(f327(f327(x88241,f522(x88241,x88243,x88242)),f523(x88241,x88243,x88242)))+P1(f327(f327(x88241,x88242),x88243))+~P1(f327(f315(f921(a1,a1),a59),f327(f327(f252(a1,a1),x88242),x88243)))
% 207.23/207.89 [8825]~P1(f327(f327(x88251,f525(x88251,x88253,x88252)),f526(x88251,x88253,x88252)))+P1(f327(f327(x88251,x88252),x88253))+~P1(f327(f315(f921(a1,a1),a223),f327(f327(f252(a1,a1),x88252),x88253)))
% 207.23/207.89 [8826]~P1(f327(f327(x88261,f528(x88261,x88263,x88262)),f529(x88261,x88263,x88262)))+P1(f327(f327(x88261,x88262),x88263))+~P1(f327(f315(f921(a915,a915),a221),f327(f327(f252(a915,a915),x88262),x88263)))
% 207.23/207.89 [8827]~P1(f327(f327(x88271,f673(x88271,x88273,x88272)),f675(x88271,x88273,x88272)))+P1(f327(f327(x88271,x88272),x88273))+~P1(f327(f315(f921(a1,a1),a183),f327(f327(f252(a1,a1),x88272),x88273)))
% 207.23/207.89 [8828]~P1(f327(f327(x88281,f767(x88281,x88283,x88282)),f769(x88281,x88283,x88282)))+P1(f327(f327(x88281,x88282),x88283))+~P1(f327(f315(f921(a1,a1),a134),f327(f327(f252(a1,a1),x88282),x88283)))
% 207.23/207.89 [9103]P1(f327(f327(x91031,x91032),x91033))+P1(f327(f315(f921(a915,a915),a221),f327(f327(f252(a915,a915),f528(x91031,x91033,x91032)),f529(x91031,x91033,x91032))))+~P1(f327(f315(f921(a915,a915),a221),f327(f327(f252(a915,a915),x91032),x91033)))
% 207.23/207.89 [9104]P1(f327(f327(x91041,x91042),x91043))+P1(f327(f315(f921(a1,a1),a53),f327(f327(f252(a1,a1),f515(x91041,x91043,x91042)),f521(x91041,x91043,x91042))))+~P1(f327(f315(f921(a1,a1),a53),f327(f327(f252(a1,a1),x91042),x91043)))
% 207.23/207.89 [9105]P1(f327(f327(x91051,x91052),x91053))+P1(f327(f315(f921(a1,a1),a59),f327(f327(f252(a1,a1),f522(x91051,x91053,x91052)),f523(x91051,x91053,x91052))))+~P1(f327(f315(f921(a1,a1),a59),f327(f327(f252(a1,a1),x91052),x91053)))
% 207.23/207.89 [9106]P1(f327(f327(x91061,x91062),x91063))+P1(f327(f315(f921(a1,a1),a223),f327(f327(f252(a1,a1),f525(x91061,x91063,x91062)),f526(x91061,x91063,x91062))))+~P1(f327(f315(f921(a1,a1),a223),f327(f327(f252(a1,a1),x91062),x91063)))
% 207.23/207.89 [9107]P1(f327(f327(x91071,x91072),x91073))+P1(f327(f315(f921(a1,a1),a183),f327(f327(f252(a1,a1),f673(x91071,x91073,x91072)),f675(x91071,x91073,x91072))))+~P1(f327(f315(f921(a1,a1),a183),f327(f327(f252(a1,a1),x91072),x91073)))
% 207.23/207.89 [9108]P1(f327(f327(x91081,x91082),x91083))+P1(f327(f315(f921(a1,a1),a134),f327(f327(f252(a1,a1),f767(x91081,x91083,x91082)),f769(x91081,x91083,x91082))))+~P1(f327(f315(f921(a1,a1),a134),f327(f327(f252(a1,a1),x91082),x91083)))
% 207.23/207.89 [9442]~P1(f327(f35(x94421),x94423))+P1(f327(f327(f329(f921(f922(x94421,a910),f922(x94421,a910))),f327(f327(f252(f922(x94421,a910),f922(x94421,a910)),x94422),x94423)),f314(x94421)))+~P1(f327(f327(f235(f922(x94421,a910)),x94422),x94423))
% 207.23/207.89 [9515]~P57(x95151,f327(x95153,f577(x95152,x95153,x95151)))+P57(x95151,f327(f327(f40(x95152,f922(x95151,f922(x95151,a910))),f242(f922(x95152,a910))),x95153))+~E(f327(f327(f103(f922(x95151,a910)),f249(x95151,x95151,f327(x95153,f576(x95152,x95153,x95151)))),f250(x95151,x95151,f327(x95153,f580(x95152,x95153,x95151)))),f190(f922(x95151,a910)))
% 207.23/207.89 [9718]P50(x97181,x97182,x97183)+P1(f327(f327(f329(f921(x97181,x97181)),f571(x97183,x97182,x97181)),x97183))+~P1(f327(f327(f329(f921(x97181,x97181)),f327(f327(f252(x97181,x97181),f570(x97183,x97182,x97181)),f570(x97183,x97182,x97181))),x97183))
% 207.23/207.89 [10314]P50(x103141,x103142,x103143)+~P1(f327(f327(f257(x103141,x103141,a910),f327(f327(f7(x103141,f922(x103141,a910),f922(x103141,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x103141,a910),f922(x103141,a910)),x103141),f8(a910,a910,x103141)),f327(f327(f8(a910,f922(a910,a910),x103141),a325),f327(f327(f7(x103141,f922(x103141,a910),a910),f329(x103141)),x103142)))),f327(f327(f7(x103141,f922(x103141,a910),a910),f329(x103141)),x103142))),f571(x103143,x103142,x103141)))+~P1(f327(f327(f329(f921(x103141,x103141)),f327(f327(f252(x103141,x103141),f570(x103143,x103142,x103141)),f570(x103143,x103142,x103141))),x103143))
% 207.23/207.89 [5826]~P58(x58262)+E(x58261,f2(x58262))+E(f327(f327(f37(x58262),f327(f327(f81(x58262),x58263),x58261)),x58261),x58263)
% 207.23/207.89 [5827]~P58(x58272)+E(x58271,f2(x58272))+E(f327(f327(f37(x58272),f327(f327(f81(x58272),x58271),x58273)),x58271),x58273)
% 207.23/207.89 [6478]~P58(x64781)+E(f327(f327(f81(x64781),f327(f327(f37(x64781),x64782),x64783)),x64783),x64782)+~P1(f327(f327(f287(x64781),x64783),x64782))
% 207.23/207.89 [6638]~P68(x66381)+~E(f327(x66382,f2(a915)),f2(x66381))+E(f327(f327(f6(a915,x66381),x66382),f327(f302(a915,f327(a113,f2(a915))),x66383)),f327(f327(f6(a915,x66381),x66382),f327(f302(a915,f2(a915)),x66383)))
% 207.23/207.89 [6771]~P58(x67712)+E(x67711,f2(x67712))+E(f327(f327(f37(x67712),f327(f327(f80(x67712),x67713),x67711)),x67711),f327(f327(f80(x67712),f327(f327(f37(x67712),x67713),x67711)),f78(x67712)))
% 207.23/207.89 [6772]~P58(x67722)+E(x67721,f2(x67722))+E(f327(f327(f37(x67722),f327(f327(f80(x67722),x67721),x67723)),x67721),f327(f327(f80(x67722),f327(f327(f37(x67722),x67723),x67721)),f78(x67722)))
% 207.23/207.89 [6992]~P1(f327(x69923,f2(a1)))+P1(f327(f327(f234(a915),x69921),x69922))+P1(f327(x69923,f327(f101(a1),f327(f327(f23(a915),x69922),x69921))))
% 207.23/207.89 [7097]P1(f327(f327(f235(a915),x70972),x70971))+P1(f327(f327(f234(a915),x70971),x70972))+P1(f327(x70973,f327(f101(a1),f327(f327(f23(a915),x70972),x70971))))
% 207.23/207.89 [7170]E(f327(f327(f80(a915),f327(f105(a915),x71701)),f327(f327(f80(a915),f327(f105(a915),x71702)),x71703)),f327(f327(f80(a915),f327(f105(a915),x71701)),x71703))+P1(f327(a195,f327(f105(a1),x71701)))+~P1(f327(a195,f327(f105(a1),x71702)))
% 207.23/207.89 [7250]~E(x72502,f327(f327(f37(a915),x72503),x72501))+~P1(f327(f327(f235(a915),f2(a915)),x72501))+P1(f327(f327(f234(a915),f327(f327(f81(a915),x72501),x72502)),x72503))
% 207.23/207.89 [7367]~P1(f327(f35(x73671),x73673))+~P1(f327(f35(x73671),x73672))+P1(f327(f35(x73671),f327(f327(f102(f922(x73671,a910)),x73672),x73673)))
% 207.23/207.89 [7416]~P36(x74161,x74163)+~P36(x74161,x74162)+P36(x74161,f327(f327(f103(f922(f921(x74161,x74161),a910)),x74162),x74163))
% 207.23/207.89 [7417]~P49(x74171,x74173)+~P49(x74171,x74172)+P49(x74171,f327(f327(f102(f922(f921(x74171,x74171),a910)),x74172),x74173))
% 207.23/207.89 [7418]~P49(x74181,x74183)+~P49(x74181,x74182)+P49(x74181,f327(f327(f103(f922(f921(x74181,x74181),a910)),x74182),x74183))
% 207.23/207.89 [7659]~P108(x76591)+~P1(f327(f35(x76591),x76592))+E(f140(x76591,f327(f327(f23(f922(x76591,a910)),x76592),f327(f327(f309(x76591),x76593),f190(f922(x76591,a910))))),f171(x76591,x76593,f140(x76591,x76592)))
% 207.23/207.89 [7721]P1(f327(x77211,f2(a1)))+~P1(f327(f327(f235(a915),x77212),x77213))+~P1(f327(x77211,f327(f101(a1),f327(f327(f23(a915),x77212),x77213))))
% 207.23/207.89 [7739]~P1(f327(f35(x77391),x77392))+E(f327(f36(x77391),f327(f327(f23(f922(x77391,a910)),x77392),f327(f327(f309(x77391),x77393),f190(f922(x77391,a910))))),f327(f36(x77391),x77392))+P1(f327(f327(f329(x77391),x77393),x77392))
% 207.23/207.89 [7872]~P126(x78721)+~P1(f327(f327(f235(x78721),f78(x78721)),x78722))+P1(f327(f327(f235(x78721),f78(x78721)),f327(f327(f81(x78721),x78722),f327(f327(f244(x78721),x78722),x78723))))
% 207.23/207.89 [7914]~P1(f327(f35(x79141),x79143))+E(f327(f327(f23(a915),f327(f36(x79141),x79142)),f327(f36(x79141),x79143)),f327(f36(x79141),f327(f327(f23(f922(x79141,a910)),x79142),x79143)))+~P1(f327(f327(f234(f922(x79141,a910)),x79143),x79142))
% 207.23/207.89 [7971]~P1(f327(f327(f234(a915),x79712),x79713))+~P1(f327(f327(f234(a915),x79711),f327(f327(f23(a915),x79713),x79712)))+P1(f327(f327(f234(a915),f327(f327(f80(a915),x79711),x79712)),x79713))
% 207.23/207.89 [8024]P1(f327(f35(x80241),x80242))+~P1(f327(f35(x80241),x80243))+~P1(f327(f35(x80241),f327(f327(f23(f922(x80241,a910)),x80242),x80243)))
% 207.23/207.89 [8030]~P1(f327(f35(x80301),x80302))+E(f327(f36(x80301),f327(f327(f23(f922(x80301,a910)),x80302),f327(f327(f309(x80301),x80303),f190(f922(x80301,a910))))),f327(f327(f23(a915),f327(f36(x80301),x80302)),f78(a915)))+~P1(f327(f327(f329(x80301),x80303),x80302))
% 207.23/207.89 [8106]P57(x81061,x81062)+~P57(x81061,x81063)+~P1(f327(f327(f234(f922(x81061,f922(x81061,a910))),x81062),x81063))
% 207.23/207.89 [8146]~P1(f327(f327(f234(a915),x81463),x81462))+P1(f327(f327(f234(a915),x81461),f327(f327(f23(a915),x81462),x81463)))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),x81461),x81463)),x81462))
% 207.23/207.89 [8164]P35(x81641,x81642)+~P35(x81641,x81643)+~P1(f327(f327(f234(f922(f921(x81641,x81641),a910)),x81642),x81643))
% 207.23/207.89 [8165]P55(x81651,x81652)+~P55(x81651,x81653)+~P1(f327(f327(f234(f922(f921(x81651,x81651),a910)),x81652),x81653))
% 207.23/207.89 [8166]P37(x81661,x81662)+~P37(x81661,x81663)+~P1(f327(f327(f234(f922(f921(x81661,x81661),a910)),x81662),x81663))
% 207.23/207.89 [8400]~P126(x84001)+~P1(f327(f327(f235(x84001),f78(x84001)),x84002))+P1(f327(f327(f235(x84001),f327(f327(f244(x84001),x84002),x84003)),f327(f327(f81(x84001),x84002),f327(f327(f244(x84001),x84002),x84003))))
% 207.23/207.89 [8490]~P1(f327(x84901,f2(a1)))+~P1(f327(x84901,f327(f327(f23(a1),f327(f101(a1),x84902)),f327(f101(a1),x84903))))+P1(f327(x84901,f327(f101(a1),f327(f327(f23(a915),x84902),x84903))))
% 207.23/207.89 [8505]~P1(f327(f327(f234(a915),x85053),x85052))+P1(f327(x85051,f327(f327(f23(a1),f327(f101(a1),x85052)),f327(f101(a1),x85053))))+~P1(f327(x85051,f327(f101(a1),f327(f327(f23(a915),x85052),x85053))))
% 207.23/207.89 [8524]P1(f327(f327(f235(a915),x85241),x85242))+~P1(f327(x85243,f327(f327(f23(a1),f327(f101(a1),x85241)),f327(f101(a1),x85242))))+P1(f327(x85243,f327(f101(a1),f327(f327(f23(a915),x85241),x85242))))
% 207.23/207.89 [8577]~P127(x85772)+E(x85771,f2(x85772))+P1(f327(f327(f235(x85772),f2(x85772)),f327(f327(f80(x85772),f327(f327(f81(x85772),x85773),x85773)),f327(f327(f81(x85772),x85771),x85771))))
% 207.23/207.89 [8578]~P127(x85782)+E(x85781,f2(x85782))+P1(f327(f327(f235(x85782),f2(x85782)),f327(f327(f80(x85782),f327(f327(f81(x85782),x85781),x85781)),f327(f327(f81(x85782),x85783),x85783))))
% 207.23/207.89 [8678]~P1(f327(f327(f235(a915),f2(a915)),x86781))+~P1(f327(f327(f235(a1),x86782),x86783))+P1(f327(f327(f235(a1),f327(f327(f81(a1),f327(f101(a1),x86781)),x86782)),f327(f327(f81(a1),f327(f101(a1),x86781)),x86783)))
% 207.23/207.89 [8734]E(f327(f327(f103(f922(x87341,a910)),x87342),f38(f922(x87341,a910),x87343)),f190(f922(x87341,a910)))+P1(f327(f327(f329(f922(x87341,a910)),x87342),x87343))+P1(f327(f327(f329(f922(x87341,a910)),f476(x87343,x87342,x87341)),f327(f327(f309(f922(x87341,a910)),x87342),x87343)))
% 207.23/207.89 [8735]E(f327(f327(f103(f922(x87351,a910)),x87352),f38(f922(x87351,a910),x87353)),f190(f922(x87351,a910)))+P1(f327(f327(f329(f922(x87351,a910)),x87352),x87353))+P1(f327(f327(f329(f922(x87351,a910)),f475(x87353,x87352,x87351)),f327(f327(f309(f922(x87351,a910)),x87352),x87353)))
% 207.23/207.89 [8764]E(x87641,x87642)+~E(f327(f191(f916(x87643)),x87641),f327(f191(f916(x87643)),x87642))+P1(f327(f327(f329(f921(x87643,x87643)),f658(x87643,x87641,x87642)),f327(f173(f921(x87643,x87643)),f327(f327(f182(x87643,x87643),x87642),x87641))))
% 207.23/207.89 [9014]E(f307(x90141,x90142),f307(x90141,x90143))+~P1(f327(f327(f234(f922(f921(x90141,x90141),a910)),x90143),f307(x90141,x90142)))+~P1(f327(f327(f234(f922(f921(x90141,x90141),a910)),x90142),x90143))
% 207.23/207.89 [9081]~P50(x90811,f242(f922(x90811,a910)),x90813)+P1(f327(f327(f234(f922(f921(f916(x90811),f916(x90811)),a910)),f158(x90811,x90812)),f159(x90811,x90813)))+~P1(f327(f327(f234(f922(f921(x90811,x90811),a910)),x90812),x90813))
% 207.23/207.89 [9280]P35(x92801,x92802)+~P1(f327(f327(f329(x92801),x92803),f608(x92802,x92801)))+P1(f327(f327(f329(f921(x92801,x92801)),f327(f327(f252(x92801,x92801),f631(x92802,x92801,x92803)),x92803)),x92802))
% 207.23/207.89 [9315]~P1(f327(f35(x93151),x93152))+P1(f327(f35(f922(x93151,a910)),f327(f327(f61(x93151),x93152),x93153)))+~P1(f327(f327(f234(f922(f921(x93151,x93151),a910)),x93153),f327(f327(f254(x93151,x93151),x93152),f327(f16(f922(x93151,a910),x93151),x93152))))
% 207.23/207.89 [9351]P50(x93511,x93512,x93513)+P1(f327(f327(f329(x93511),f560(x93513,x93512,x93511)),x93512))+~P1(f327(f327(f234(f922(f921(x93511,x93511),a910)),x93513),f327(f327(f254(x93511,x93511),x93512),f327(f16(f922(x93511,a910),x93511),x93512))))
% 207.23/207.89 [9352]P50(x93521,x93522,x93523)+P1(f327(f327(f329(x93521),f569(x93522,x93523,x93521)),x93522))+~P1(f327(f327(f234(f922(f921(x93521,x93521),a910)),x93523),f327(f327(f254(x93521,x93521),x93522),f327(f16(f922(x93521,a910),x93521),x93522))))
% 207.23/207.89 [9386]~P64(x93861)+~P1(f327(f327(f235(x93861),x93862),x93863))+P1(f327(f327(f235(x93861),f327(f327(f291(x93861),f327(f327(f80(x93861),x93862),x93863)),f327(f327(f80(x93861),f78(x93861)),f78(x93861)))),x93863))
% 207.23/207.89 [9415]~P63(x94151)+P1(f327(f327(f234(x94151),x94152),x94153))+~P1(f327(f327(f234(x94151),f327(f327(f81(x94151),f454(x94153,x94152,x94151)),x94152)),x94153))
% 207.23/207.89 [9550]E(f327(f191(f916(f916(x95501))),f327(f137(f916(x95501),f327(f327(f8(a915,a910,f916(x95501)),f327(f235(a915),x95502)),f191(f916(x95501)))),f180(x95501,x95503))),f327(f191(f916(x95501)),f327(f327(f165(f916(x95501)),x95503),x95502)))+~P11(a915,f327(f169(a915),f327(f327(f155(f916(x95501),a915),f191(f916(x95501))),x95503)))+~P1(f327(f327(f235(a915),x95502),f327(f191(f916(f916(x95501))),x95503)))
% 207.23/207.89 [9664]~P35(x96641,x96642)+P25(x96641,f327(f327(f252(f922(f921(x96641,x96641),a910),f922(f921(x96641,x96641),a910)),x96642),x96643))+~P1(f327(f327(f234(f922(f921(x96641,x96641),a910)),f327(f327(f289(x96641,x96641,x96641),x96642),x96643)),x96642))
% 207.23/207.89 [9670]E(f327(f327(f155(f916(x96701),x96701),f327(f327(f7(f916(x96701),a915,x96701),f165(x96701)),x96702)),f327(f137(f916(x96701),f327(f327(f8(a915,a910,f916(x96701)),f327(f235(a915),x96702)),f191(f916(x96701)))),f180(x96701,x96703))),f327(f327(f165(f916(x96701)),x96703),x96702))+~P11(a915,f327(f169(a915),f327(f327(f155(f916(x96701),a915),f191(f916(x96701))),x96703)))+~P1(f327(f327(f235(a915),x96702),f327(f191(f916(f916(x96701))),x96703)))
% 207.23/207.89 [9806]P50(x98061,x98062,x98063)+~P1(f327(f327(f329(f921(x98061,x98061)),f327(f327(f252(x98061,x98061),f560(x98063,x98062,x98061)),f560(x98063,x98062,x98061))),x98063))+~P1(f327(f327(f234(f922(f921(x98061,x98061),a910)),x98063),f327(f327(f254(x98061,x98061),x98062),f327(f16(f922(x98061,a910),x98061),x98062))))
% 207.23/207.89 [9807]P50(x98071,x98072,x98073)+~P1(f327(f327(f329(f921(x98071,x98071)),f327(f327(f252(x98071,x98071),f569(x98072,x98073,x98071)),f569(x98072,x98073,x98071))),x98073))+~P1(f327(f327(f234(f922(f921(x98071,x98071),a910)),x98073),f327(f327(f254(x98071,x98071),x98072),f327(f16(f922(x98071,a910),x98071),x98072))))
% 207.23/207.89 [9976]~P142(x99761)+~P125(x99761)+E(f327(f327(f291(x99761),f327(f104(x99761),f327(f327(f72(f921(a1,a1),a1,x99762,f251(a1,a1)),f214(x99762)),x99763))),f327(f104(x99761),f327(f327(f72(f921(a1,a1),a1,x99762,f256(a1,a1)),f214(x99762)),x99763))),f224(x99762,x99761,x99763))
% 207.23/207.89 [10181]~E(x101813,f2(a915))+~E(f327(f191(f916(x101811)),f327(f327(f165(f916(x101811)),x101812),f707(x101813,x101811,x101812))),x101813)+E(f327(f327(f155(a915,f916(x101811)),f327(f327(f7(a915,f916(a915),f916(x101811)),f327(f327(f8(f922(a915,x101811),f922(f916(a915),f916(x101811)),a915),f155(a915,x101811)),f327(f7(a915,a915,x101811),f327(f327(f8(f916(x101811),f922(a915,x101811),a915),f165(x101811)),f327(f165(f916(x101811)),x101812))))),f140(a915,f327(f302(a915,f2(a915)),f327(f191(f916(f916(x101811))),x101812))))),f140(a915,f327(f302(a915,f2(a915)),x101813))),f180(x101811,x101812))
% 207.23/207.89 [10182]E(x101821,f114(f916(x101822)))+~E(f327(f191(f916(x101822)),f327(f327(f165(f916(x101822)),x101821),f707(x101823,x101822,x101821))),x101823)+E(f327(f327(f155(a915,f916(x101822)),f327(f327(f7(a915,f916(a915),f916(x101822)),f327(f327(f8(f922(a915,x101822),f922(f916(a915),f916(x101822)),a915),f155(a915,x101822)),f327(f7(a915,a915,x101822),f327(f327(f8(f916(x101822),f922(a915,x101822),a915),f165(x101822)),f327(f165(f916(x101822)),x101821))))),f140(a915,f327(f302(a915,f2(a915)),f327(f191(f916(f916(x101822))),x101821))))),f140(a915,f327(f302(a915,f2(a915)),x101823))),f180(x101822,x101821))
% 207.23/207.89 [10183]~E(x101833,f2(a915))+E(f327(f327(f155(a915,f916(x101831)),f327(f327(f7(a915,f916(a915),f916(x101831)),f327(f327(f8(f922(a915,x101831),f922(f916(a915),f916(x101831)),a915),f155(a915,x101831)),f327(f7(a915,a915,x101831),f327(f327(f8(f916(x101831),f922(a915,x101831),a915),f165(x101831)),f327(f165(f916(x101831)),x101832))))),f140(a915,f327(f302(a915,f2(a915)),f327(f191(f916(f916(x101831))),x101832))))),f140(a915,f327(f302(a915,f2(a915)),x101833))),f180(x101831,x101832))+P1(f327(f327(f235(a915),f707(x101833,x101831,x101832)),f327(f191(f916(f916(x101831))),x101832)))
% 207.23/207.89 [10184]E(x101841,f114(f916(x101842)))+E(f327(f327(f155(a915,f916(x101842)),f327(f327(f7(a915,f916(a915),f916(x101842)),f327(f327(f8(f922(a915,x101842),f922(f916(a915),f916(x101842)),a915),f155(a915,x101842)),f327(f7(a915,a915,x101842),f327(f327(f8(f916(x101842),f922(a915,x101842),a915),f165(x101842)),f327(f165(f916(x101842)),x101841))))),f140(a915,f327(f302(a915,f2(a915)),f327(f191(f916(f916(x101842))),x101841))))),f140(a915,f327(f302(a915,f2(a915)),x101843))),f180(x101842,x101841))+P1(f327(f327(f235(a915),f707(x101843,x101842,x101841)),f327(f191(f916(f916(x101842))),x101841)))
% 207.23/207.89 [7911]E(f327(f327(f80(a915),f327(f105(a915),x79111)),f327(f327(f80(a915),f327(f105(a915),x79112)),x79113)),f327(f327(f80(a915),f327(f105(a915),f327(f327(f80(a1),x79111),x79112))),x79113))+P1(f327(a195,f327(f105(a1),x79111)))+P1(f327(a195,f327(f105(a1),x79112)))
% 207.23/207.89 [8670]~P1(f327(f35(x86701),x86702))+~P1(f327(f327(f329(x86701),x86703),x86702))+E(f327(a113,f327(f36(x86701),f327(f327(f23(f922(x86701,a910)),x86702),f327(f327(f309(x86701),x86703),f190(f922(x86701,a910)))))),f327(f36(x86701),x86702))
% 207.23/207.89 [8686]~P1(f327(f35(x86861),x86862))+~P1(f327(f327(f329(x86861),x86863),x86862))+E(f327(f327(f80(a915),f78(a915)),f327(f36(x86861),f327(f327(f23(f922(x86861,a910)),x86862),f327(f327(f309(x86861),x86863),f190(f922(x86861,a910)))))),f327(f36(x86861),x86862))
% 207.23/207.89 [8773]~P108(x87731)+~P1(f327(f35(x87731),x87733))+E(f327(f327(f149(x87731,x87731,f5(x87731)),x87732),f140(x87731,f327(f327(f23(f922(x87731,a910)),x87733),f327(f327(f309(x87731),x87732),f190(f922(x87731,a910)))))),f140(x87731,f327(f327(f309(x87731),x87732),x87733)))
% 207.23/207.89 [8939]~P1(f327(f35(x89391),x89393))+~P1(f327(f35(x89391),x89392))+E(f327(f327(f80(a915),f327(f36(x89391),f327(f327(f102(f922(x89391,a910)),x89392),x89393))),f327(f36(x89391),f327(f327(f103(f922(x89391,a910)),x89392),x89393))),f327(f327(f80(a915),f327(f36(x89391),x89392)),f327(f36(x89391),x89393)))
% 207.23/207.89 [10130]~P23(x101301,f922(f922(x101301,a910),a910),f327(f327(f7(x101301,f922(f921(x101301,x101301),a910),f922(f922(x101301,a910),a910)),f327(f327(f8(f922(x101301,a910),f922(f922(f921(x101301,x101301),a910),f922(f922(x101301,a910),a910)),x101301),f61(x101301)),f327(f327(f7(x101301,f922(x101301,a910),f922(x101301,a910)),f309(x101301)),f190(f922(x101301,a910))))),x101303),x101302)+~P1(f327(f35(x101301),x101302))+E(f327(f36(f922(x101301,a910)),f327(f327(f61(x101301),x101302),x101303)),f327(f36(x101301),x101302))
% 207.23/207.89 [8178]~P93(x81781)+P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x81783)))+E(f327(f327(f244(x81781),x81782),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),x81783),x81783)),a98))),f78(x81781))
% 207.23/207.89 [9649]~P93(x96491)+~P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),x96493)))+E(f327(f327(f244(x96491),x96492),f327(f105(a915),f327(f327(f23(a1),f327(f327(f80(a1),x96493),x96493)),a98))),f327(f327(f86(x96491,x96491),f327(f327(f244(x96491),x96492),f327(f105(a915),x96493))),f327(f327(f18(x96491,x96491,x96491),f327(f327(f8(x96491,f922(x96491,x96491),x96491),f81(x96491)),f327(f81(x96491),x96492))),f5(x96491))))
% 207.23/207.89 [10039]~P1(f327(f138(x100391),x100393))+~P1(f327(f327(f329(x100391),x100392),f327(f173(x100391),x100393)))+E(f327(f327(f139(x100391),f327(f191(f916(x100391)),f178(x100391,f327(f327(f8(a910,a910,x100391),a322),f327(f327(f7(x100391,x100391,a910),a324),x100392)),f327(f169(x100391),x100393)))),f327(f169(x100391),x100393)),f327(f327(f152(x100391),x100392),f327(f169(x100391),f178(x100391,f327(f327(f8(a910,a910,x100391),a322),f327(f327(f7(x100391,x100391,a910),a324),x100392)),x100393))))
% 207.23/207.89 [10100]P1(f327(f327(f234(f922(f921(x101001,x101001),a910)),f307(x101001,x101002)),x101003))+~P1(f327(f327(f234(f922(f921(x101001,x101001),a910)),f307(x101001,f190(f922(f921(x101001,x101001),a910)))),x101003))+~P1(f327(f327(f234(f922(f921(x101001,x101001),a910)),f327(f327(f289(x101001,x101001,x101001),f327(f327(f103(f922(f921(x101001,x101001),a910)),f307(x101001,x101002)),x101003)),x101002)),x101003))
% 207.23/207.89 [9956]~P1(f327(f35(x99561),f327(f262(x99561),x99563)))+~P1(f327(f35(x99561),f327(f262(x99561),x99562)))+P1(f327(f35(x99561),f327(f262(x99561),f327(f327(f18(x99561,a910,a910),f327(f327(f8(a910,f922(a910,a910),x99561),a326),x99562)),x99563))))
% 207.23/207.89 [10248]P1(f327(f327(f234(f922(f921(x102481,x102481),a910)),f327(f327(f289(x102481,x102481,x102481),x102482),f307(x102481,x102482))),x102483))+~P1(f327(f327(f234(f922(f921(x102481,x102481),a910)),x102482),x102483))+~P1(f327(f327(f234(f922(f921(x102481,x102481),a910)),f327(f327(f289(x102481,x102481,x102481),f327(f327(f103(f922(f921(x102481,x102481),a910)),f327(f327(f289(x102481,x102481,x102481),x102482),f307(x102481,x102482))),x102483)),x102482)),x102483))
% 207.23/207.89 [10198]~P119(x101982)+E(x101981,f2(x101982))+~E(f327(f327(f80(x101982),f327(f327(f244(x101982),x101983),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x101982),x101981),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f2(x101982))
% 207.23/207.89 [10199]~P119(x101992)+E(x101991,f2(x101992))+~E(f327(f327(f80(x101992),f327(f327(f244(x101992),x101991),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x101992),x101993),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f2(x101992))
% 207.23/207.89 [10204]~P1(f327(f138(x102041),x102043))+~P1(f327(f327(f329(x102041),x102042),f327(f173(x102041),x102043)))+E(f327(f169(x102041),f327(f172(x102041),f327(f327(f139(x102041),f327(f191(f916(x102041)),f178(x102041,f327(f327(f8(a910,a910,x102041),a322),f327(f327(f7(x102041,x102041,a910),a324),x102042)),x102043))),x102043))),f178(x102041,f327(f327(f8(a910,a910,x102041),a322),f327(f327(f7(x102041,x102041,a910),a324),x102042)),f327(f169(x102041),x102043)))
% 207.23/207.89 [10296]~P119(x102962)+E(x102961,f2(x102962))+P1(f327(f327(f235(x102962),f2(x102962)),f327(f327(f80(x102962),f327(f327(f244(x102962),x102963),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x102962),x102961),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))))
% 207.23/207.89 [10297]~P119(x102972)+E(x102971,f2(x102972))+P1(f327(f327(f235(x102972),f2(x102972)),f327(f327(f80(x102972),f327(f327(f244(x102972),x102971),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x102972),x102973),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))))
% 207.23/207.89 [10352]~P119(x103521)+P1(f327(f327(f234(x103521),f2(x103521)),x103522))+~P1(f327(f327(f234(x103521),f2(x103521)),f327(f327(f244(x103521),x103522),f327(a113,f327(f327(f81(a915),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),x103523)))))
% 207.23/207.89 [5658]~P22(x56581,x56584,x56583)+P22(x56581,x56582,x56583)+~P22(x56581,x56582,x56584)
% 207.23/207.89 [5123]~E(x51232,f90(x51233,x51231))+P1(f327(x51231,x51232))+~P1(f327(x51231,x51234))
% 207.23/207.89 [5367]E(f68(x53673,x53672,x53674),x53672)+E(x53671,f734(x53672,x53673,x53674))+~P1(f327(x53674,x53671))
% 207.23/207.89 [6695]E(f68(x66951,x66952,x66953),f85(x66951,x66953))+~E(f771(x66952,x66951,x66953,x66954),x66954)+~P1(f327(x66953,x66954))
% 207.23/207.89 [6904]~P35(x69042,x69044)+~P35(x69041,x69043)+P35(f921(x69041,x69042),f320(x69041,x69042,x69043,x69044))
% 207.23/207.89 [6905]~P36(x69052,x69054)+~P36(x69051,x69053)+P36(f921(x69051,x69052),f320(x69051,x69052,x69053,x69054))
% 207.23/207.89 [5307]~P5(x53074,x53071)+~E(f327(x53071,x53072),f327(x53071,x53073))+P1(f327(f327(x53071,x53072),x53073))
% 207.23/207.89 [5470]~P5(x54704,x54701)+E(f327(x54701,x54702),f327(x54701,x54703))+~P1(f327(f327(x54701,x54702),x54703))
% 207.23/207.89 [5471]~P13(x54714,x54711)+E(f327(x54711,x54712),f327(x54711,x54713))+~P1(f327(f327(x54711,x54712),x54713))
% 207.23/207.89 [5564]~P16(x55643,x55644,x55641)+E(f327(x55641,x55642),f327(f63(x55643,x55644),x55642))+~P1(f327(f35(x55643),x55642))
% 207.23/207.89 [5565]~P7(x55653,x55654,x55651)+E(f327(x55651,x55652),f327(f63(x55653,x55654),x55652))+~P1(f327(f35(x55653),x55652))
% 207.23/207.89 [5693]~P5(x56934,x56931)+~P1(f327(f327(x56931,x56933),x56932))+P1(f327(f327(x56931,x56932),x56933))
% 207.23/207.89 [5694]~P48(x56944,x56941)+~P1(f327(f327(x56941,x56943),x56942))+P1(f327(f327(x56941,x56942),x56943))
% 207.23/207.89 [5695]~P13(x56954,x56951)+~P1(f327(f327(x56951,x56953),x56952))+P1(f327(f327(x56951,x56952),x56953))
% 207.23/207.89 [5696]~P13(x56963,x56961)+P1(f327(f327(x56961,x56962),x56962))+~P1(f327(f327(x56961,x56964),x56962))
% 207.23/207.89 [5697]~P13(x56973,x56971)+P1(f327(f327(x56971,x56972),x56972))+~P1(f327(f327(x56971,x56972),x56974))
% 207.23/207.89 [5767]E(x57671,x57672)+~E(f327(f251(x57673,x57674),x57671),f327(f251(x57673,x57674),x57672))+~E(f327(f256(x57673,x57674),x57671),f327(f256(x57673,x57674),x57672))
% 207.23/207.89 [5795]E(x57951,x57952)+~P1(f327(f49(x57953,x57954),x57952))+~P1(f327(f49(x57953,x57954),x57951))
% 207.23/207.89 [5986]~P68(x59862)+E(f233(x59861,x59862,x59863,x59864),f2(x59862))+P1(f327(f35(x59861),x59864))
% 207.23/207.89 [6034]~P5(x60343,x60342)+~P1(f327(x60341,x60344))+P1(f327(x60341,f815(x60341,x60342,x60343)))
% 207.23/207.89 [6131]~P1(f327(f315(x61311,x61312),x61314))+P1(f327(f315(x61311,x61312),x61313))+~P1(f327(f327(x61312,x61313),x61314))
% 207.23/207.89 [6939]~P27(x69391,x69393,x69394)+P1(f327(x69391,x69392))+~P1(f327(f327(f329(a1),x69392),f303(a1,x69393,x69394)))
% 207.23/207.89 [7131]~P5(x71311,x71313)+~P1(f327(x71312,x71314))+P1(f327(f327(f329(x71311),f815(x71312,x71313,x71311)),f270(x71311,x71313)))
% 207.23/207.89 [8019]E(x80191,f2(a915))+~P1(f327(x80192,x80193))+P1(f327(x80192,f765(x80192,x80193,x80191,x80194)))
% 207.23/207.89 [8101]~P108(x81012)+~P1(f327(f138(x81011),x81014))+P1(f327(f138(x81011),f151(x81011,x81012,x81013,x81014)))
% 207.23/207.89 [8145]E(f68(x81451,x81452,x81453),f85(x81451,x81453))+~P1(f327(x81453,x81454))+P1(f327(x81453,f771(x81452,x81451,x81453,x81454)))
% 207.23/207.89 [8327]~P1(f327(f35(x83272),x83274))+~P1(f327(f35(x83271),x83273))+P1(f327(f35(f920(x83271,x83272)),f313(x83271,x83272,x83273,x83274)))
% 207.23/207.89 [8328]~P1(f327(f138(x83282),x83284))+~P1(f327(f138(x83281),x83283))+P1(f327(f138(f921(x83281,x83282)),f60(x83281,x83282,x83283,x83284)))
% 207.23/207.89 [8331]P1(f327(f327(f329(f916(x83311)),f327(f327(f135(x83311),x83312),x83313)),f162(x83311,x83314)))+~P1(f327(f327(f329(f916(x83311)),x83313),f162(x83311,x83314)))+~P1(f327(f327(f329(f916(x83311)),x83312),f162(x83311,x83314)))
% 207.23/207.89 [8608]E(x86081,f2(a915))+P1(f327(x86082,x86083))+~P1(f327(x86082,f766(x86082,x86083,x86081,x86084)))
% 207.23/207.89 [8645]~P108(x86453)+~P1(f327(f138(x86451),f151(x86451,x86453,x86454,x86452)))+P1(f327(f138(x86451),x86452))
% 207.23/207.89 [8928]~P1(f327(f327(f329(f921(x89281,x89281)),f327(f327(f252(x89281,x89281),x89282),x89284)),f307(x89281,x89283)))+P1(f327(f327(f329(x89281),x89282),f316(x89281,x89283)))+~P1(f327(f327(f329(x89281),x89284),f316(x89281,x89283)))
% 207.23/207.89 [5291]~P68(x52912)+E(f327(f327(f6(x52911,x52912),x52913),x52914),f2(x52912))+P1(f327(f35(x52911),x52914))
% 207.23/207.89 [5294]~P75(x52942)+E(f327(f327(f9(x52941,x52942),x52943),x52944),f78(x52942))+P1(f327(f35(x52941),x52944))
% 207.23/207.89 [5434]~P69(x54343)+E(x54341,x54342)+~E(f327(f327(f80(x54343),x54344),x54341),f327(f327(f80(x54343),x54344),x54342))
% 207.23/207.89 [5435]~P70(x54353)+E(x54351,x54352)+~E(f327(f327(f80(x54353),x54354),x54351),f327(f327(f80(x54353),x54354),x54352))
% 207.23/207.89 [5437]~P69(x54373)+E(x54371,x54372)+~E(f327(f327(f80(x54373),x54371),x54374),f327(f327(f80(x54373),x54372),x54374))
% 207.23/207.89 [5531]~P121(x55311)+~E(x55313,f327(f327(f81(x55311),x55312),x55314))+P1(f327(f327(f287(x55311),x55312),x55313))
% 207.23/207.89 [5559]~P3(x55593)+E(x55591,f190(f922(x55592,a910)))+E(f327(f327(f40(x55592,x55593),x55591),f327(f16(x55593,x55592),x55594)),x55594)
% 207.23/207.89 [5560]~P3(x55603)+E(x55601,f190(f922(x55602,a910)))+E(f327(f327(f41(x55602,x55603),x55601),f327(f16(x55603,x55602),x55604)),x55604)
% 207.23/207.89 [5781]~P110(x57813)+E(x57811,x57812)+~E(f303(x57813,x57814,x57811),f327(f327(f309(x57813),x57812),f190(f922(x57813,a910))))
% 207.23/207.89 [5782]~P110(x57823)+E(x57821,x57822)+~E(f303(x57823,x57821,x57822),f327(f327(f309(x57823),x57824),f190(f922(x57823,a910))))
% 207.23/207.89 [5842]~P33(x58423,x58421,x58424)+P33(x58423,x58421,f327(f327(f152(x58423),x58422),x58424))+P1(f327(x58421,x58422))
% 207.23/207.89 [5944]~P29(x59441,x59442,x59444)+~P1(f327(x59442,x59443))+P29(x59441,x59442,f327(f327(f152(x59441),x59443),x59444))
% 207.23/207.89 [6086]P1(f327(x60861,x60862))+~P1(f327(f248(x60863,x60861),x60864))+~P1(f327(f327(f329(x60863),x60862),x60864))
% 207.23/207.89 [6095]~P29(x60951,x60952,x60954)+~P29(x60951,x60952,x60953)+P29(x60951,x60952,f327(f327(f135(x60951),x60953),x60954))
% 207.23/207.89 [6110]P31(x61101,x61102,x61103)+~P31(x61101,x61102,f327(f327(f152(x61101),x61104),x61103))+P1(f327(x61102,x61104))
% 207.23/207.89 [6111]P33(x61111,x61112,x61113)+~P33(x61111,x61112,f327(f327(f152(x61111),x61114),x61113))+P1(f327(x61112,x61114))
% 207.23/207.89 [6186]P31(x61861,x61862,x61863)+P31(x61861,x61862,x61864)+~P31(x61861,x61862,f327(f327(f135(x61861),x61864),x61863))
% 207.23/207.89 [6206]~P68(x62061)+E(f327(f327(f6(a915,x62061),x62062),f327(f302(a915,x62063),f327(a113,x62064))),f2(x62061))+~P1(f327(f327(f235(a915),x62064),x62063))
% 207.23/207.89 [6211]~P59(x62111)+~E(f46(x62111,x62112,x62113),f46(x62111,x62114,x62113))+E(f46(x62111,f327(f79(x62111),x62112),x62113),f46(x62111,f327(f79(x62111),x62114),x62113))
% 207.23/207.89 [6283]P1(f327(x62831,x62832))+~E(f327(f137(x62833,x62831),x62834),x62834)+~P1(f327(f327(f329(x62833),x62832),f327(f173(x62833),x62834)))
% 207.23/207.89 [6303]~E(f327(f327(f80(a915),x63033),x63032),f327(f327(f80(a915),x63031),x63034))+~P1(f327(f327(f235(a915),x63033),x63034))+P1(f327(f327(f235(a915),x63031),x63032))
% 207.23/207.89 [6309]P31(x63091,x63092,x63093)+~P1(f327(x63092,x63094))+~P1(f327(f327(f329(x63091),x63094),f327(f173(x63091),x63093)))
% 207.23/207.89 [6312]~P58(x63121)+E(f46(x63121,f46(x63121,x63122,x63123),x63124),f46(x63121,x63122,x63124))+~P1(f327(f327(f287(x63121),x63124),x63123))
% 207.23/207.89 [6350]~P29(x63503,x63501,x63504)+P1(f327(x63501,x63502))+~P1(f327(f327(f329(x63503),x63502),f327(f173(x63503),x63504)))
% 207.23/207.89 [6352]~E(f327(f137(x63521,x63522),x63523),f114(x63521))+~P1(f327(x63522,x63524))+~P1(f327(f327(f329(x63521),x63524),f327(f173(x63521),x63523)))
% 207.23/207.89 [6353]~E(f178(x63533,x63531,x63534),x63534)+P1(f327(x63531,x63532))+~P1(f327(f327(f329(x63533),x63532),f327(f173(x63533),x63534)))
% 207.23/207.89 [6380]~E(x63804,f190(f922(x63802,a910)))+~E(x63803,f190(f922(x63801,a910)))+E(f313(x63801,x63802,x63803,x63804),f190(f922(f920(x63801,x63802),a910)))
% 207.23/207.89 [6528]P1(f327(x65281,x65282))+~P1(f327(f161(x65283,x65281),x65284))+~P1(f327(f327(f329(x65283),x65282),f327(f173(x65283),x65284)))
% 207.23/207.89 [6664]~P28(x66641,x66643,x66644)+P1(f327(x66641,x66642))+~P1(f327(f327(f329(a915),x66642),f327(f302(a915,x66643),x66644)))
% 207.23/207.89 [6801]~P68(x68011)+E(f327(f327(f6(a915,x68011),x68012),f303(a915,x68013,f327(a113,x68014))),f2(x68011))+~P1(f327(f327(f235(a915),f327(a113,x68014)),x68013))
% 207.23/207.89 [6942]~P108(x69421)+E(f327(f327(f23(f922(x69421,a910)),f327(f302(x69421,x69422),x69423)),f327(f302(x69421,x69422),x69424)),f327(f302(x69421,x69424),x69423))+~P1(f327(f327(f234(x69421),x69422),x69424))
% 207.23/207.89 [7013]~E(x70133,x70134)+E(x70131,f2(a915))+P1(f327(f327(f329(x70132),x70133),f327(f173(x70132),f170(x70132,x70131,x70134))))
% 207.23/207.89 [7296]~P1(f327(f327(f329(f916(x72961)),x72964),f162(x72961,x72963)))+P1(f327(f327(f329(x72961),x72962),x72963))+~P1(f327(f327(f329(x72961),x72962),f327(f173(x72961),x72964)))
% 207.23/207.89 [7303]~P35(x73031,x73032)+P1(f327(f327(f329(x73031),f609(x73032,x73031,x73033)),x73033))+~P1(f327(f327(f329(x73031),x73034),x73033))
% 207.23/207.89 [7360]~P68(x73601)+E(f327(f327(f327(f65(x73601,x73602,f80(x73601)),x73603),f2(x73601)),x73604),f327(f327(f6(x73602,x73601),x73603),x73604))+~P1(f327(f35(x73602),x73604))
% 207.23/207.89 [7362]~P75(x73621)+E(f327(f327(f327(f65(x73621,x73622,f81(x73621)),x73623),f78(x73621)),x73624),f327(f327(f9(x73622,x73621),x73623),x73624))+~P1(f327(f35(x73622),x73624))
% 207.23/207.89 [7391]P23(x73911,x73912,x73913,x73914)+~E(f327(f36(x73912),f327(f310(x73911,x73912,x73913),x73914)),f327(f36(x73911),x73914))+~P1(f327(f35(x73911),x73914))
% 207.23/207.89 [7581]~P68(x75811)+E(f327(f327(f80(x75811),f327(x75812,x75813)),f327(f327(f6(a915,x75811),x75812),f305(a915,x75813,x75814))),f327(f327(f6(a915,x75811),x75812),f303(a915,x75813,x75814)))+~P1(f327(f327(f234(a915),x75813),x75814))
% 207.23/207.89 [7591]~P68(x75911)+~P23(x75912,x75911,x75913,x75914)+E(f327(f327(f6(x75911,x75911),f31(x75911)),f327(f310(x75912,x75911,x75913),x75914)),f327(f327(f6(x75912,x75911),x75913),x75914))
% 207.23/207.89 [7592]~P75(x75921)+~P23(x75922,x75921,x75923,x75924)+E(f327(f327(f9(x75921,x75921),f31(x75921)),f327(f310(x75922,x75921,x75923),x75924)),f327(f327(f9(x75922,x75921),x75923),x75924))
% 207.23/207.89 [7641]E(f327(f36(f920(x76411,x76412)),f313(x76411,x76412,x76413,x76414)),f327(f327(f80(a915),f327(f36(x76411),x76413)),f327(f36(x76412),x76414)))+~P1(f327(f35(x76412),x76414))+~P1(f327(f35(x76411),x76413))
% 207.23/207.89 [7722]E(x77221,x77222)+P1(f327(f327(f329(x77223),x77221),f327(f173(x77223),f171(x77223,x77222,x77224))))+~P1(f327(f327(f329(x77223),x77221),f327(f173(x77223),x77224)))
% 207.23/207.89 [7950]~P68(x79501)+E(f327(f327(f80(x79501),f327(f327(f6(a915,x79501),x79502),f327(f302(a915,x79503),x79504))),f327(x79502,x79504)),f327(f327(f6(a915,x79501),x79502),f327(f302(a915,x79503),f327(a113,x79504))))+P1(f327(f327(f235(a915),x79504),x79503))
% 207.23/207.89 [7999]~P23(x79991,x79992,x79993,f242(f922(x79991,a910)))+~P1(f327(f35(x79992),x79994))+P1(f327(f35(x79991),f327(f311(x79991,x79992,x79993),x79994)))
% 207.23/207.89 [8116]P1(f327(f327(f329(f916(x81161)),f327(f327(f152(x81161),x81162),x81163)),f162(x81161,x81164)))+~P1(f327(f327(f329(f916(x81161)),x81163),f162(x81161,x81164)))+~P1(f327(f327(f329(x81161),x81162),x81164))
% 207.23/207.89 [8202]~E(f327(f310(x82023,x82021,x82024),f242(f922(x82023,a910))),f242(f922(x82021,a910)))+P1(f327(f35(x82021),x82022))+~P1(f327(f35(x82023),f327(f311(x82023,x82021,x82024),x82022)))
% 207.23/207.89 [8297]~P23(x82971,x82973,x82974,x82972)+P1(f327(f35(x82971),x82972))+~P1(f327(f35(x82973),f327(f310(x82971,x82973,x82974),x82972)))
% 207.23/207.89 [8321]~E(x83212,x83213)+P1(f327(f327(f329(f921(x83211,x83211)),f327(f327(f252(x83211,x83211),x83212),x83213)),f263(x83211,x83214)))+~P1(f327(f327(f329(x83211),x83212),x83214))
% 207.23/207.89 [8354]~P68(x83541)+E(f327(f327(f80(x83541),f327(f327(f6(a915,x83541),x83542),f303(a915,x83543,x83544))),f327(x83542,f327(a113,x83544))),f327(f327(f6(a915,x83541),x83542),f303(a915,x83543,f327(a113,x83544))))+P1(f327(f327(f235(a915),f327(a113,x83544)),x83543))
% 207.23/207.89 [8414]P1(f327(x84141,x84142))+~P1(f327(x84141,f327(f327(f165(x84143),x84144),f657(x84141,x84144,x84143))))+~P1(f327(f327(f329(x84143),x84142),f327(f173(x84143),x84144)))
% 207.23/207.89 [8553]~P1(f327(f327(f329(x85531),x85532),f316(x85531,x85534)))+P1(f327(f327(f329(f916(x85531)),f327(f327(f152(x85531),x85532),x85533)),f316(f916(x85531),f158(x85531,x85534))))+~P1(f327(f327(f329(f916(x85531)),x85533),f316(f916(x85531),f158(x85531,x85534))))
% 207.23/207.89 [8568]~P23(x85682,x85683,x85684,f474(x85684,x85683,x85682,x85681))+P23(x85682,x85683,x85684,f39(f922(x85682,a910),x85681))+E(x85681,f190(f922(f922(x85682,a910),a910)))
% 207.23/207.89 [8837]E(x88371,x88372)+~P1(f327(f327(f329(f921(x88373,x88373)),f327(f327(f252(x88373,x88373),x88371),x88372)),f307(x88373,x88374)))+P1(f327(f327(f329(x88373),x88371),f327(f264(x88373,x88373),x88374)))
% 207.23/207.89 [9119]E(x91191,f2(a915))+P1(f327(x91192,x91193))+P1(f327(f327(f329(x91194),f766(x91192,x91193,x91191,x91194)),f327(f173(x91194),f170(x91194,x91191,x91193))))
% 207.23/207.89 [9131]E(x91311,f2(a915))+~P1(f327(x91313,x91314))+P1(f327(f327(f329(x91312),f765(x91313,x91314,x91311,x91312)),f327(f173(x91312),f170(x91312,x91311,x91314))))
% 207.23/207.89 [9133]~P24(x91331,x91332,x91333,f242(f922(x91331,a910)),f242(f922(x91332,a910)))+~P1(f327(f35(x91332),x91334))+P1(f327(f35(x91331),f327(f311(x91331,x91332,x91333),x91334)))
% 207.23/207.89 [9136]P23(x91362,x91363,x91364,f39(f922(x91362,a910),x91361))+E(x91361,f190(f922(f922(x91362,a910),a910)))+P1(f327(f327(f329(f922(x91362,a910)),f474(x91364,x91363,x91362,x91361)),x91361))
% 207.23/207.89 [9251]~P24(x92513,x92511,x92514,f242(f922(x92513,a910)),f242(f922(x92511,a910)))+P1(f327(f35(x92511),x92512))+~P1(f327(f35(x92513),f327(f311(x92513,x92511,x92514),x92512)))
% 207.23/207.89 [9268]P1(f327(f35(x92681),x92682))+~P1(f327(f35(x92684),f327(f310(x92681,x92684,x92683),x92682)))+P1(f327(f327(f329(x92681),f497(x92683,x92684,x92682,x92681)),x92682))
% 207.23/207.89 [9362]~P3(x93622)+E(f327(f327(f64(x93621,x93622,f327(f327(f8(x93622,f922(x93622,x93622),x93621),f102(x93622)),x93623)),f190(x93622)),x93624),f327(f327(f40(x93621,x93622),x93624),x93623))+~P1(f327(f35(x93621),x93624))
% 207.23/207.89 [9363]~P3(x93632)+E(f327(f327(f64(x93631,x93632,f327(f327(f8(x93632,f922(x93632,x93632),x93631),f103(x93632)),x93633)),f242(x93632)),x93634),f327(f327(f41(x93631,x93632),x93634),x93633))+~P1(f327(f35(x93631),x93634))
% 207.23/207.89 [9445]P1(f327(x94451,x94452))+~P1(f327(x94451,f327(f327(f165(x94453),x94454),f694(x94452,x94451,x94454,x94453))))+~P1(f327(f327(f329(x94453),x94452),f327(f173(x94453),x94454)))
% 207.23/207.89 [9466]E(x94661,x94662)+~P1(f327(f327(f329(f921(x94663,x94663)),f327(f327(f252(x94663,x94663),x94661),x94662)),f307(x94663,x94664)))+P1(f327(f327(f329(f921(x94663,x94663)),f327(f327(f252(x94663,x94663),x94661),x94662)),f327(f327(f289(x94663,x94663,x94663),x94664),f307(x94663,x94664))))
% 207.23/207.89 [9516]~E(f327(f191(f916(x95161)),x95162),f327(f191(f916(x95161)),x95163))+~P1(f327(f327(f329(f921(f916(x95161),f916(x95161))),f327(f327(f252(f916(x95161),f916(x95161)),x95162),x95163)),f148(x95161,x95164)))+P1(f327(f327(f329(f921(f916(x95161),f916(x95161))),f327(f327(f252(f916(x95161),f916(x95161)),x95162),x95163)),f146(x95161,x95164)))
% 207.23/207.89 [9754]P29(x97541,f327(f327(f18(x97541,a910,a910),f327(f327(f8(a910,f922(a910,a910),x97541),a326),f327(f327(f8(a910,a910,x97541),a322),x97542))),f327(a324,x97543)),x97544)+~P1(f327(x97542,x97543))+~P33(x97541,x97542,f327(f327(f152(x97541),x97543),x97544))
% 207.23/207.89 [9920]~P29(x99201,f327(f327(f18(x99201,a910,a910),f327(f327(f8(a910,f922(a910,a910),x99201),a326),f327(f327(f8(a910,a910,x99201),a322),x99202))),f327(a324,x99203)),x99204)+~P1(f327(x99202,x99203))+P33(x99201,x99202,f327(f327(f152(x99201),x99203),x99204))
% 207.23/207.89 [9924]~P33(x99241,x99242,x99244)+~P29(x99241,f327(f327(f18(x99241,a910,a910),f327(f327(f8(a910,f922(a910,a910),x99241),a326),f327(f327(f8(a910,a910,x99241),a322),x99242))),f327(a324,x99243)),x99244)+P33(x99241,x99242,f327(f327(f152(x99241),x99243),x99244))
% 207.23/207.89 [9957]~P67(x99571)+E(f327(f327(f6(a915,x99571),f327(f327(f18(a915,x99571,x99571),f327(f327(f8(x99571,f922(x99571,x99571),a915),f23(x99571)),x99572)),f327(f327(f8(a915,x99571,a915),x99572),f327(f327(f7(a915,a915,a915),f80(a915)),f78(a915))))),f303(a915,x99573,x99574)),f2(x99571))+P1(f327(f327(f234(a915),x99573),x99574))
% 207.23/207.89 [10197]~P35(x101972,x101974)+~P23(x101972,x101971,x101973,f242(f922(x101972,a910)))+P35(x101971,f327(f310(f921(x101972,x101972),f921(x101971,x101971),f258(x101972,x101971,x101972,x101971,x101973,x101973)),x101974))
% 207.23/207.89 [10387]~E(f327(f191(f916(x103871)),x103873),f327(f191(f916(x103871)),x103872))+P1(f327(f327(f329(f921(f916(x103871),f916(x103871))),f327(f327(f252(f916(x103871),f916(x103871)),x103872),x103873)),f159(x103871,x103874)))+~P1(f327(f327(f257(x103871,x103871,a910),f327(f327(f7(x103871,f922(f921(x103871,x103871),a910),f922(x103871,a910)),f327(f327(f8(f922(x103871,f922(f922(f921(x103871,x103871),a910),a910)),f922(f922(f921(x103871,x103871),a910),f922(x103871,a910)),x103871),f7(x103871,f922(f921(x103871,x103871),a910),a910)),f327(f327(f8(f922(x103871,f921(x103871,x103871)),f922(x103871,f922(f922(f921(x103871,x103871),a910),a910)),x103871),f327(f8(f921(x103871,x103871),f922(f922(f921(x103871,x103871),a910),a910),x103871),f329(f921(x103871,x103871)))),f252(x103871,x103871)))),x103874)),f659(x103874,x103873,x103872,x103871)))
% 207.23/207.89 [6264]~P58(x62641)+~E(x62642,f2(x62641))+E(f327(f327(f37(x62641),f327(f327(f81(x62641),x62642),x62643)),f327(f327(f81(x62641),x62642),x62644)),f2(x62641))
% 207.23/207.89 [6306]E(x63061,f114(x63062))+E(x63063,f327(f327(f23(a915),f327(f191(f916(x63062)),x63061)),f78(a915)))+E(f145(x63062,f327(f327(f160(x63062,x63061),x63063),x63064)),f145(x63062,x63061))
% 207.23/207.89 [6341]E(x63411,x63412)+P1(f327(x63413,x63412))+~P1(f327(f327(f327(f309(x63414),x63411),x63413),x63412))
% 207.23/207.89 [6357]~P68(x63571)+~P1(f327(f138(x63572),x63574))+E(f327(f166(x63571),f327(f327(f155(x63572,x63571),x63573),x63574)),f327(f327(f6(x63572,x63571),x63573),f327(f173(x63572),x63574)))
% 207.23/207.89 [6373]~P75(x63732)+~P1(f327(f35(x63731),x63734))+E(f327(f327(f9(x63731,x63732),f327(f16(x63732,x63731),x63733)),x63734),f327(f327(f244(x63732),x63733),f327(f36(x63731),x63734)))
% 207.23/207.89 [6426]~P58(x64262)+E(x64261,f2(x64262))+E(f327(f327(f37(x64262),f327(f327(f81(x64262),x64263),x64261)),f327(f327(f81(x64262),x64264),x64261)),f327(f327(f37(x64262),x64263),x64264))
% 207.23/207.89 [6428]~P61(x64282)+E(x64281,f2(x64282))+E(f327(f327(f291(x64282),f327(f327(f81(x64282),x64283),x64281)),f327(f327(f81(x64282),x64284),x64281)),f327(f327(f291(x64282),x64283),x64284))
% 207.23/207.89 [6429]~P61(x64292)+E(x64291,f2(x64292))+E(f327(f327(f291(x64292),f327(f327(f81(x64292),x64291),x64293)),f327(f327(f81(x64292),x64291),x64294)),f327(f327(f291(x64292),x64293),x64294))
% 207.23/207.89 [6430]~P58(x64302)+E(x64301,f2(x64302))+E(f327(f327(f37(x64302),f327(f327(f81(x64302),x64301),x64303)),f327(f327(f81(x64302),x64301),x64304)),f327(f327(f37(x64302),x64303),x64304))
% 207.23/207.89 [6497]P1(f327(x64971,x64972))+~E(x64973,f327(f327(f80(a915),x64974),x64972))+~P1(f327(x64971,f327(f327(f23(a915),x64973),x64974)))
% 207.23/207.89 [6581]~P1(f327(x65812,x65813))+~P1(f327(f161(x65811,x65812),x65814))+P1(f327(f161(x65811,x65812),f327(f327(f152(x65811),x65813),x65814)))
% 207.23/207.89 [6621]E(x66211,f114(x66212))+~E(x66213,f327(f327(f23(a915),f327(f191(f916(x66212)),x66211)),f78(a915)))+E(f145(x66212,f327(f327(f160(x66212,x66211),x66213),x66214)),x66214)
% 207.23/207.89 [6645]~P108(x66451)+~P1(f327(f327(f234(x66451),x66452),x66454))+P1(f327(f327(f234(x66451),x66452),f327(f327(f189(x66451),x66453),x66454)))
% 207.23/207.89 [6647]~P108(x66471)+~P1(f327(f327(f234(x66471),x66472),x66473))+P1(f327(f327(f234(x66471),x66472),f327(f327(f189(x66471),x66473),x66474)))
% 207.23/207.89 [6648]~P101(x66481)+~P1(f327(f327(f234(x66481),x66482),x66484))+P1(f327(f327(f234(x66481),x66482),f327(f327(f102(x66481),x66483),x66484)))
% 207.23/207.89 [6649]~P101(x66491)+~P1(f327(f327(f234(x66491),x66492),x66493))+P1(f327(f327(f234(x66491),x66492),f327(f327(f102(x66491),x66493),x66494)))
% 207.23/207.89 [6651]~P108(x66511)+~P1(f327(f327(f235(x66511),x66512),x66514))+P1(f327(f327(f235(x66511),x66512),f327(f327(f189(x66511),x66513),x66514)))
% 207.23/207.89 [6653]~P108(x66531)+~P1(f327(f327(f235(x66531),x66532),x66533))+P1(f327(f327(f235(x66531),x66532),f327(f327(f189(x66531),x66533),x66534)))
% 207.23/207.89 [6654]~P101(x66541)+~P1(f327(f327(f235(x66541),x66542),x66544))+P1(f327(f327(f235(x66541),x66542),f327(f327(f102(x66541),x66543),x66544)))
% 207.23/207.89 [6655]~P101(x66551)+~P1(f327(f327(f235(x66551),x66552),x66553))+P1(f327(f327(f235(x66551),x66552),f327(f327(f102(x66551),x66553),x66554)))
% 207.23/207.89 [6656]~P112(x66561)+~P1(f327(f327(f287(x66561),x66562),x66564))+P1(f327(f327(f287(x66561),x66562),f327(f327(f81(x66561),x66563),x66564)))
% 207.23/207.89 [6657]~P112(x66571)+~P1(f327(f327(f287(x66571),x66572),x66573))+P1(f327(f327(f287(x66571),x66572),f327(f327(f81(x66571),x66573),x66574)))
% 207.23/207.89 [6746]~E(f327(f327(f165(x67461),x67462),x67463),x67464)+E(f327(f327(f160(x67461,x67462),x67463),x67464),x67462)+~P1(f327(f327(f235(a915),x67463),f327(f191(f916(x67461)),x67462)))
% 207.23/207.89 [6785]P1(f327(x67851,x67852))+~P1(f327(x67853,x67852))+~P1(f327(f327(f234(f922(x67854,a910)),x67853),x67851))
% 207.23/207.89 [6818]~E(f327(f327(f160(x68181,x68182),x68183),x68184),x68182)+E(f327(f327(f165(x68181),x68182),x68183),x68184)+~P1(f327(f327(f235(a915),x68183),f327(f191(f916(x68181)),x68182)))
% 207.23/207.89 [6832]~P1(f327(f161(x68321,x68322),x68324))+~P1(f327(f161(x68321,x68322),x68323))+P1(f327(f161(x68321,x68322),f327(f327(f135(x68321),x68323),x68324)))
% 207.23/207.89 [6938]E(x69381,f190(f922(x69382,a910)))+E(x69383,f190(f922(x69384,a910)))+~E(f327(f327(f254(x69384,x69382),x69383),f327(f16(f922(x69382,a910),x69384),x69381)),f190(f922(f921(x69384,x69382),a910)))
% 207.23/207.89 [6958]E(x69581,x69582)+P1(f327(f327(f329(x69583),x69581),x69584))+~P1(f327(f327(f329(x69583),x69581),f327(f327(f309(x69583),x69582),x69584)))
% 207.23/207.89 [6975]~P108(x69751)+P1(f327(f327(f234(x69751),x69752),x69753))+~P1(f327(f327(f234(x69751),x69752),f327(f327(f238(x69751),x69754),x69753)))
% 207.23/207.89 [6977]~P108(x69771)+P1(f327(f327(f234(x69771),x69772),x69773))+~P1(f327(f327(f234(x69771),x69772),f327(f327(f238(x69771),x69773),x69774)))
% 207.23/207.89 [6979]~P102(x69791)+P1(f327(f327(f234(x69791),x69792),x69793))+~P1(f327(f327(f234(x69791),x69792),f327(f327(f103(x69791),x69794),x69793)))
% 207.23/207.89 [6981]~P102(x69811)+P1(f327(f327(f234(x69811),x69812),x69813))+~P1(f327(f327(f234(x69811),x69812),f327(f327(f103(x69811),x69813),x69814)))
% 207.23/207.89 [6982]~P108(x69821)+P1(f327(f327(f235(x69821),x69822),x69823))+~P1(f327(f327(f235(x69821),x69822),f327(f327(f238(x69821),x69824),x69823)))
% 207.23/207.89 [6983]~P108(x69831)+P1(f327(f327(f235(x69831),x69832),x69833))+~P1(f327(f327(f235(x69831),x69832),f327(f327(f238(x69831),x69833),x69834)))
% 207.23/207.89 [7004]~E(f327(f327(f165(x70041),x70043),x70044),x70042)+P1(f327(f327(f329(x70041),x70042),f327(f173(x70041),x70043)))+~P1(f327(f327(f235(a915),x70044),f327(f191(f916(x70041)),x70043)))
% 207.23/207.89 [7014]~P108(x70141)+~P11(x70141,f327(f327(f152(x70141),x70142),f327(f327(f152(x70141),x70143),x70144)))+P1(f327(f327(f234(x70141),x70142),x70143))
% 207.23/207.89 [7160]~P29(x71602,x71601,x71603)+P1(f327(x71601,f327(f327(f165(x71602),x71603),x71604)))+~P1(f327(f327(f235(a915),x71604),f327(f191(f916(x71602)),x71603)))
% 207.23/207.89 [7178]E(x71781,f2(a1))+E(f327(f327(f37(a1),x71782),x71781),x71783)+~P1(f327(f50(x71782,x71781),f327(f327(f252(a1,a1),x71783),x71784)))
% 207.23/207.89 [7199]E(f46(a1,x71992,x71991),x71993)+E(x71991,f2(a1))+~P1(f327(f50(x71992,x71991),f327(f327(f252(a1,a1),x71994),x71993)))
% 207.23/207.89 [7320]P1(f327(f327(f329(x73201),x73202),x73203))+~P1(f327(f327(f329(x73201),x73202),x73204))+~P1(f327(f327(f235(f922(x73201,a910)),x73204),x73203))
% 207.23/207.89 [7321]P1(f327(f327(f329(x73211),x73212),x73213))+~P1(f327(f327(f329(x73211),x73212),x73214))+~P1(f327(f327(f234(f922(x73211,a910)),x73214),x73213))
% 207.23/207.89 [7332]~P120(x73321)+~E(x73323,f2(x73321))+P1(f327(f327(f287(x73321),f327(f327(f81(x73321),x73322),x73323)),f327(f327(f81(x73321),x73324),x73323)))
% 207.23/207.89 [7333]~P120(x73331)+~E(x73332,f2(x73331))+P1(f327(f327(f287(x73331),f327(f327(f81(x73331),x73332),x73333)),f327(f327(f81(x73331),x73332),x73334)))
% 207.23/207.89 [7435]P31(x74351,x74352,x74353)+~P1(f327(x74352,f327(f327(f165(x74351),x74353),x74354)))+~P1(f327(f327(f235(a915),x74354),f327(f191(f916(x74351)),x74353)))
% 207.23/207.89 [7549]~P109(x75492)+~P1(f327(f327(f235(f922(x75491,x75492)),x75493),x75494))+P1(f327(f327(f234(f922(x75491,x75492)),x75493),x75494))
% 207.23/207.89 [7630]~P22(x76301,x76302,x76304)+P22(x76301,x76302,f327(f327(f309(f913(x76301)),x76303),x76304))+~P22(x76301,x76302,f327(f327(f309(f913(x76301)),x76303),f190(f922(f913(x76301),a910))))
% 207.23/207.89 [7672]~P1(f327(f327(f329(x76721),x76722),x76724))+P1(f327(f327(f329(x76721),x76722),f38(f922(x76721,a910),x76723)))+~P1(f327(f327(f329(f922(x76721,a910)),x76724),x76723))
% 207.23/207.89 [7700]~P82(x77001)+~P1(f327(f327(f234(x77001),x77003),x77004))+P1(f327(f327(f234(x77001),f327(f327(f80(x77001),x77002),x77003)),f327(f327(f80(x77001),x77002),x77004)))
% 207.23/207.89 [7701]~P83(x77011)+~P1(f327(f327(f234(x77011),x77013),x77014))+P1(f327(f327(f234(x77011),f327(f327(f80(x77011),x77012),x77013)),f327(f327(f80(x77011),x77012),x77014)))
% 207.23/207.89 [7702]~P82(x77021)+~P1(f327(f327(f234(x77021),x77022),x77024))+P1(f327(f327(f234(x77021),f327(f327(f80(x77021),x77022),x77023)),f327(f327(f80(x77021),x77024),x77023)))
% 207.23/207.89 [7703]~P83(x77031)+~P1(f327(f327(f234(x77031),x77032),x77034))+P1(f327(f327(f234(x77031),f327(f327(f80(x77031),x77032),x77033)),f327(f327(f80(x77031),x77034),x77033)))
% 207.23/207.89 [7704]~P82(x77041)+~P1(f327(f327(f235(x77041),x77043),x77044))+P1(f327(f327(f235(x77041),f327(f327(f80(x77041),x77042),x77043)),f327(f327(f80(x77041),x77042),x77044)))
% 207.23/207.89 [7705]~P85(x77051)+~P1(f327(f327(f235(x77051),x77053),x77054))+P1(f327(f327(f235(x77051),f327(f327(f80(x77051),x77052),x77053)),f327(f327(f80(x77051),x77052),x77054)))
% 207.23/207.89 [7706]~P82(x77061)+~P1(f327(f327(f235(x77061),x77062),x77064))+P1(f327(f327(f235(x77061),f327(f327(f80(x77061),x77062),x77063)),f327(f327(f80(x77061),x77064),x77063)))
% 207.23/207.89 [7707]~P85(x77071)+~P1(f327(f327(f235(x77071),x77072),x77074))+P1(f327(f327(f235(x77071),f327(f327(f80(x77071),x77072),x77073)),f327(f327(f80(x77071),x77074),x77073)))
% 207.23/207.89 [7708]~P120(x77081)+~P1(f327(f327(f287(x77081),x77083),x77084))+P1(f327(f327(f287(x77081),f327(f327(f81(x77081),x77082),x77083)),f327(f327(f81(x77081),x77082),x77084)))
% 207.23/207.89 [7709]~P120(x77091)+~P1(f327(f327(f287(x77091),x77092),x77094))+P1(f327(f327(f287(x77091),f327(f327(f81(x77091),x77092),x77093)),f327(f327(f81(x77091),x77094),x77093)))
% 207.23/207.89 [7716]~P106(x77161)+~P94(x77161)+E(f327(f327(f23(x77161),f327(f327(f81(x77161),x77162),f327(f105(x77161),x77163))),f327(f327(f81(x77161),x77164),f327(f105(x77161),x77163))),f327(f327(f81(x77161),f327(f327(f23(x77161),x77162),x77164)),f327(f105(x77161),x77163)))
% 207.23/207.89 [7717]~P140(x77171)+~P94(x77171)+E(f327(f327(f80(x77171),f327(f327(f81(x77171),x77172),f327(f105(x77171),x77173))),f327(f327(f81(x77171),x77174),f327(f105(x77171),x77173))),f327(f327(f81(x77171),f327(f327(f80(x77171),x77172),x77174)),f327(f105(x77171),x77173)))
% 207.23/207.89 [7753]~P68(x77531)+E(f327(f327(f80(x77531),f327(x77532,x77533)),f327(f327(f6(a915,x77531),x77532),f303(a915,f327(a113,x77533),x77534))),f327(f327(f6(a915,x77531),x77532),f303(a915,x77533,x77534)))+~P1(f327(f327(f234(a915),x77533),x77534))
% 207.23/207.89 [7765]~P23(x77652,x77651,x77653,f327(f173(x77652),x77654))+~P1(f327(f138(x77652),x77654))+P1(f327(f138(x77651),f327(f327(f155(x77652,x77651),x77653),x77654)))
% 207.23/207.89 [7814]~P1(f327(f327(f234(a915),x78142),x78144))+~P1(f327(f327(f234(a915),x78141),x78143))+P1(f327(f327(f234(a915),f327(f327(f80(a915),x78141),x78142)),f327(f327(f80(a915),x78143),x78144)))
% 207.23/207.89 [7815]~P1(f327(f327(f234(a915),x78152),x78154))+~P1(f327(f327(f234(a915),x78151),x78153))+P1(f327(f327(f234(a915),f327(f327(f81(a915),x78151),x78152)),f327(f327(f81(a915),x78153),x78154)))
% 207.23/207.89 [7818]~P1(f327(f327(f235(a915),x78182),x78184))+~P1(f327(f327(f235(a915),x78181),x78183))+P1(f327(f327(f235(a915),f327(f327(f80(a915),x78181),x78182)),f327(f327(f80(a915),x78183),x78184)))
% 207.23/207.89 [7819]~P1(f327(f327(f234(a1),x78192),x78194))+~P1(f327(f327(f235(a1),x78191),x78193))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x78191),x78192)),f327(f327(f80(a1),x78193),x78194)))
% 207.23/207.89 [7867]P1(f327(f327(f329(x78671),x78672),x78673))+~P1(f327(f327(f329(x78671),x78672),f39(f922(x78671,a910),x78674)))+~P1(f327(f327(f329(f922(x78671,a910)),x78673),x78674))
% 207.23/207.89 [7883]~P1(f327(x78831,f655(x78831,x78833,x78832)))+P1(f327(x78831,f327(f327(f165(x78832),x78833),x78834)))+~P1(f327(f327(f235(a915),x78834),f327(f191(f916(x78832)),x78833)))
% 207.23/207.89 [7888]P1(f327(x78881,x78882))+~P1(f327(f327(f329(x78884),x78882),f327(f173(x78884),x78883)))+P1(f327(f327(f235(a915),f657(x78881,x78883,x78884)),f327(f191(f916(x78884)),x78883)))
% 207.23/207.89 [7935]~P109(x79351)+~P1(f327(f327(f235(f922(x79352,x79351)),x79354),x79353))+~P1(f327(f327(f234(f922(x79352,x79351)),x79353),x79354))
% 207.23/207.89 [7978]~P1(f327(x79784,x79782))+~P1(f327(f327(f329(x79781),x79782),x79783))+P1(f327(f327(f329(x79781),x79782),f327(f327(f103(f922(x79781,a910)),x79783),f327(f262(x79781),x79784))))
% 207.23/207.89 [8123]~P1(f327(f327(f329(x81231),x81233),x81234))+~P1(f327(f327(f235(f922(x81231,a910)),x81232),x81234))+P1(f327(f327(f235(f922(x81231,a910)),x81232),f327(f327(f309(x81231),x81233),x81234)))
% 207.23/207.89 [8125]E(f327(f327(f103(f922(x81251,a910)),x81252),x81253),f190(f922(x81251,a910)))+~E(f327(f327(f103(f922(x81251,a910)),f38(f922(x81251,a910),x81254)),x81253),f190(f922(x81251,a910)))+~P1(f327(f327(f329(f922(x81251,a910)),x81252),x81254))
% 207.23/207.89 [8198]P1(f327(f327(f329(x81981),x81982),x81983))+~P1(f327(f327(f234(f922(x81981,a910)),x81983),f327(f327(f309(x81981),x81982),x81984)))+P1(f327(f327(f234(f922(x81981,a910)),x81983),x81984))
% 207.23/207.89 [8215]P1(f327(f327(f329(x82152),f655(x82151,x82153,x82152)),f327(f173(x82152),x82153)))+P1(f327(x82151,f327(f327(f165(x82152),x82153),x82154)))+~P1(f327(f327(f235(a915),x82154),f327(f191(f916(x82152)),x82153)))
% 207.23/207.89 [8223]~P1(f327(f327(f234(f922(x82231,a910)),x82232),x82234))+P1(f327(f327(f234(f922(x82231,a910)),x82232),x82233))+~P1(f327(f327(f234(f922(x82231,a910)),x82234),x82233))
% 207.23/207.89 [8224]~P1(f327(f327(f235(f922(x82241,a910)),x82242),x82244))+~P1(f327(f327(f234(f922(x82241,a910)),x82244),x82243))+P1(f327(f327(f235(f922(x82241,a910)),x82242),x82243))
% 207.23/207.89 [8225]~P1(f327(f327(f234(f922(x82251,a910)),x82252),x82254))+~P1(f327(f327(f235(f922(x82251,a910)),x82254),x82253))+P1(f327(f327(f235(f922(x82251,a910)),x82252),x82253))
% 207.23/207.89 [8226]~P1(f327(f327(f235(f922(x82261,a910)),x82262),x82264))+P1(f327(f327(f235(f922(x82261,a910)),x82262),x82263))+~P1(f327(f327(f235(f922(x82261,a910)),x82264),x82263))
% 207.23/207.89 [8270]~P1(f327(f327(f329(x82701),x82704),x82703))+~P1(f327(f327(f235(f922(x82701,a910)),x82702),f327(f327(f309(x82701),x82704),x82703)))+P1(f327(f327(f235(f922(x82701,a910)),x82702),x82703))
% 207.23/207.89 [8281]~P82(x82811)+P1(f327(f327(f234(x82811),x82812),x82813))+~P1(f327(f327(f234(x82811),f327(f327(f80(x82811),x82814),x82812)),f327(f327(f80(x82811),x82814),x82813)))
% 207.23/207.89 [8283]~P82(x82831)+P1(f327(f327(f234(x82831),x82832),x82833))+~P1(f327(f327(f234(x82831),f327(f327(f80(x82831),x82832),x82834)),f327(f327(f80(x82831),x82833),x82834)))
% 207.23/207.89 [8285]~P82(x82851)+P1(f327(f327(f235(x82851),x82852),x82853))+~P1(f327(f327(f235(x82851),f327(f327(f80(x82851),x82854),x82852)),f327(f327(f80(x82851),x82854),x82853)))
% 207.23/207.89 [8287]~P82(x82871)+P1(f327(f327(f235(x82871),x82872),x82873))+~P1(f327(f327(f235(x82871),f327(f327(f80(x82871),x82872),x82874)),f327(f327(f80(x82871),x82873),x82874)))
% 207.23/207.89 [8338]P1(f327(x83381,x83382))+~E(f327(f327(f139(x83383),f327(f191(f916(x83383)),f178(x83383,x83381,x83384))),x83384),f114(x83383))+~P1(f327(f327(f329(x83383),x83382),f327(f173(x83383),x83384)))
% 207.23/207.89 [8456]P1(f327(x84561,x84562))+~P1(f327(f327(f329(x84563),x84562),f327(f173(x84563),x84564)))+P1(f327(f327(f235(a915),f327(f191(f916(x84563)),f327(f137(x84563,x84561),x84564))),f327(f191(f916(x84563)),x84564)))
% 207.23/207.89 [8944]~P1(f327(x89441,f748(x89441,x89443,x89442,x89444)))+P1(f327(x89441,f327(f327(f165(x89442),x89443),x89444)))+~P1(f327(f327(f235(a915),x89444),f327(f191(f916(x89442)),x89443)))
% 207.23/207.89 [8968]~P23(x89684,x89683,x89681,f242(f922(x89684,a910)))+E(f327(x89681,f878(x89682,x89681,x89683,x89684)),x89682)+~P1(f327(f327(f329(x89683),x89682),f327(f310(x89684,x89683,x89681),f242(f922(x89684,a910)))))
% 207.23/207.89 [9036]E(f178(x90361,x90362,x90363),f327(f327(f176(x90361),x90364),x90363))+P1(f327(f327(f235(a915),f718(x90362,x90363,x90361,x90364)),x90364))+P1(f327(f327(f235(a915),x90364),f327(f191(f916(x90361)),x90363)))
% 207.23/207.89 [9039]E(f178(x90391,x90392,x90393),f327(f327(f176(x90391),x90394),x90393))+P1(f327(f327(f235(a915),f718(x90392,x90393,x90391,x90394)),x90394))+P1(f327(x90392,f327(f327(f165(x90391),x90393),x90394)))
% 207.23/207.89 [9074]P1(f327(x90741,x90742))+~P1(f327(f327(f329(x90744),x90742),f327(f173(x90744),x90743)))+P1(f327(f327(f235(a915),f694(x90742,x90741,x90743,x90744)),f327(f191(f916(x90744)),x90743)))
% 207.23/207.89 [9076]E(f178(x90761,x90762,x90763),f327(f327(f176(x90761),x90764),x90763))+P1(f327(f327(f235(a915),x90764),f327(f191(f916(x90761)),x90763)))+P1(f327(f327(f235(a915),f718(x90762,x90763,x90761,x90764)),f327(f191(f916(x90761)),x90763)))
% 207.23/207.89 [9083]E(f178(x90831,x90832,x90833),f327(f327(f176(x90831),x90834),x90833))+P1(f327(x90832,f327(f327(f165(x90831),x90833),x90834)))+P1(f327(f327(f235(a915),f718(x90832,x90833,x90831,x90834)),f327(f191(f916(x90831)),x90833)))
% 207.23/207.89 [9110]~P126(x91104)+P1(f327(f327(f329(x91101),f641(x91102,x91103,x91101,x91104)),x91103))+P1(f327(f327(f235(x91104),f2(x91104)),f327(f327(f9(x91101,x91104),x91102),x91103)))
% 207.23/207.89 [9111]~P126(x91114)+P1(f327(f327(f329(x91111),f642(x91112,x91113,x91111,x91114)),x91113))+P1(f327(f327(f234(x91114),f2(x91114)),f327(f327(f9(x91111,x91114),x91112),x91113)))
% 207.23/207.89 [9138]~P1(f327(f35(x91381),x91384))+P1(f327(f327(f329(x91381),f555(x91382,x91383,x91384,x91381)),x91384))+P1(f327(f35(f921(x91381,x91383)),f327(f327(f254(x91381,x91383),x91384),x91382)))
% 207.23/207.89 [9170]P1(f327(f327(f329(x91702),f748(x91701,x91703,x91702,x91704)),f327(f173(x91702),x91703)))+P1(f327(x91701,f327(f327(f165(x91702),x91703),x91704)))+~P1(f327(f327(f235(a915),x91704),f327(f191(f916(x91702)),x91703)))
% 207.23/207.89 [9299]P1(f327(f327(f234(a915),x92994),f327(f191(f916(x92992)),f178(x92992,x92993,x92991))))+P1(f327(f327(f235(a915),f719(x92991,x92992,x92993,x92994)),x92994))+~P1(f327(f327(f234(a915),x92994),f327(f191(f916(x92992)),x92991)))
% 207.23/207.89 [9449]E(f178(x94491,x94492,x94493),f327(f327(f176(x94491),x94494),x94493))+~P1(f327(x94492,f327(f327(f165(x94491),x94493),f718(x94492,x94493,x94491,x94494))))+P1(f327(f327(f235(a915),x94494),f327(f191(f916(x94491)),x94493)))
% 207.23/207.89 [9456]E(f178(x94561,x94562,x94563),f327(f327(f176(x94561),x94564),x94563))+~P1(f327(x94562,f327(f327(f165(x94561),x94563),f718(x94562,x94563,x94561,x94564))))+P1(f327(x94562,f327(f327(f165(x94561),x94563),x94564)))
% 207.23/207.89 [9460]~P1(f327(f35(x94601),x94603))+~P1(f327(f35(x94602),f327(x94604,f555(x94604,x94602,x94603,x94601))))+P1(f327(f35(f921(x94601,x94602)),f327(f327(f254(x94601,x94602),x94603),x94604)))
% 207.23/207.89 [9468]~P126(x94681)+~P1(f327(f327(f234(x94681),f2(x94681)),f327(x94683,f642(x94683,x94684,x94682,x94681))))+P1(f327(f327(f234(x94681),f2(x94681)),f327(f327(f9(x94682,x94681),x94683),x94684)))
% 207.23/207.89 [9469]~P126(x94691)+~P1(f327(f327(f235(x94691),f2(x94691)),f327(x94693,f641(x94693,x94694,x94692,x94691))))+P1(f327(f327(f235(x94691),f2(x94691)),f327(f327(f9(x94692,x94691),x94693),x94694)))
% 207.23/207.89 [9477]~E(f327(f191(f916(x94774)),x94772),f327(f191(f916(x94774)),x94773))+P1(f327(f327(f329(f921(f916(x94774),f916(x94774))),f327(f327(f252(f916(x94774),f916(x94774)),x94773),x94772)),f159(x94774,x94771)))+P1(f327(f327(f235(a915),f643(x94771,x94772,x94773,x94774)),f327(f191(f916(x94774)),x94773)))
% 207.23/207.89 [9529]~P1(f327(x95293,f327(f327(f165(x95292),x95294),f719(x95294,x95292,x95293,x95291))))+P1(f327(f327(f234(a915),x95291),f327(f191(f916(x95292)),f178(x95292,x95293,x95294))))+~P1(f327(f327(f234(a915),x95291),f327(f191(f916(x95292)),x95294)))
% 207.23/207.89 [9610]E(f327(f327(f176(x96101),f656(x96102,x96103,x96104,x96101)),x96103),f327(f327(f176(x96101),f656(x96102,x96103,x96104,x96101)),x96104))+~P1(f327(f327(f329(f921(f916(x96101),f916(x96101))),f327(f327(f252(f916(x96101),f916(x96101)),x96104),x96103)),f148(x96101,x96102)))+P1(f327(f327(f235(a915),f327(f191(f916(x96101)),x96104)),f327(f191(f916(x96101)),x96103)))
% 207.23/207.89 [9666]~P1(f327(f327(f235(a915),f2(a915)),x96663))+~P1(f327(f327(f235(a915),x96664),x96661))+P1(f327(f327(f235(a915),f327(f327(f80(a915),f327(f327(f81(a915),x96661),f46(a915,x96662,x96663))),x96664)),f327(f327(f81(a915),x96661),x96663)))
% 207.23/207.89 [9859]~P109(x98592)+~P1(f327(f327(f234(x98592),f327(x98593,f445(x98594,x98593,x98591,x98592))),f327(x98594,f445(x98594,x98593,x98591,x98592))))+P1(f327(f327(f234(f922(x98591,x98592)),x98593),x98594))
% 207.23/207.89 [9962]~P67(x99621)+E(f327(f327(f6(a915,x99621),f327(f327(f18(a915,x99621,x99621),f327(f327(f8(x99621,f922(x99621,x99621),a915),f23(x99621)),x99622)),f327(f327(f8(a915,x99621,a915),x99622),f327(f327(f7(a915,a915,a915),f80(a915)),f78(a915))))),f303(a915,x99623,x99624)),f327(f327(f23(x99621),f327(x99622,x99623)),f327(x99622,f327(f327(f80(a915),x99624),f78(a915)))))+~P1(f327(f327(f234(a915),x99623),x99624))
% 207.23/207.89 [10038]~P35(x100383,f327(f327(f289(x100383,x100383,x100383),x100382),f307(x100383,x100382)))+~P1(f327(f327(f329(f921(x100383,x100383)),f327(f327(f252(x100383,x100383),f327(x100381,f327(a113,f832(x100382,x100381,x100383)))),f327(x100381,f832(x100382,x100381,x100383)))),f307(x100383,x100382)))+E(f327(x100381,f327(f327(f80(a915),f831(x100382,x100381,x100383)),x100384)),f327(x100381,f831(x100382,x100381,x100383)))
% 207.23/207.89 [6923]~P58(x69231)+E(f327(f327(f37(x69231),f327(f327(f81(x69231),x69232),x69233)),x69234),f327(f327(f81(x69231),x69232),f327(f327(f37(x69231),x69233),x69234)))+~P1(f327(f327(f287(x69231),x69234),x69233))
% 207.23/207.89 [7008]E(f327(f327(f135(x70081),x70082),x70083),x70084)+~E(x70083,f327(f327(f139(x70081),f327(f191(f916(x70081)),x70082)),x70084))+~E(f327(f327(f176(x70081),f327(f191(f916(x70081)),x70082)),x70084),x70082)
% 207.23/207.89 [7064]~P62(x70642)+E(x70641,f2(x70642))+E(f327(f327(f291(x70642),f327(f327(f244(x70642),x70643),x70644)),f327(f327(f244(x70642),x70641),x70644)),f327(f327(f244(x70642),f327(f327(f291(x70642),x70643),x70641)),x70644))
% 207.23/207.89 [7209]~P58(x72091)+E(f327(f327(f37(x72091),f327(f327(f81(x72091),x72092),x72093)),x72094),f327(f327(f81(x72091),f327(f327(f37(x72091),x72092),x72094)),x72093))+~P1(f327(f327(f287(x72091),x72094),x72092))
% 207.23/207.89 [7218]~P108(x72181)+~P1(f327(f327(f234(x72181),x72183),x72184))+P1(f327(f327(f234(x72181),f327(f327(f238(x72181),x72182),x72183)),x72184))
% 207.23/207.89 [7220]~P108(x72201)+~P1(f327(f327(f234(x72201),x72202),x72204))+P1(f327(f327(f234(x72201),f327(f327(f238(x72201),x72202),x72203)),x72204))
% 207.23/207.89 [7221]~P102(x72211)+~P1(f327(f327(f234(x72211),x72213),x72214))+P1(f327(f327(f234(x72211),f327(f327(f103(x72211),x72212),x72213)),x72214))
% 207.23/207.89 [7222]~P102(x72221)+~P1(f327(f327(f234(x72221),x72222),x72224))+P1(f327(f327(f234(x72221),f327(f327(f103(x72221),x72222),x72223)),x72224))
% 207.23/207.89 [7224]~P108(x72241)+~P1(f327(f327(f235(x72241),x72243),x72244))+P1(f327(f327(f235(x72241),f327(f327(f238(x72241),x72242),x72243)),x72244))
% 207.23/207.89 [7226]~P108(x72261)+~P1(f327(f327(f235(x72261),x72262),x72264))+P1(f327(f327(f235(x72261),f327(f327(f238(x72261),x72262),x72263)),x72264))
% 207.23/207.89 [7227]~P102(x72271)+~P1(f327(f327(f235(x72271),x72273),x72274))+P1(f327(f327(f235(x72271),f327(f327(f103(x72271),x72272),x72273)),x72274))
% 207.23/207.89 [7228]~P102(x72281)+~P1(f327(f327(f235(x72281),x72282),x72284))+P1(f327(f327(f235(x72281),f327(f327(f103(x72281),x72282),x72283)),x72284))
% 207.23/207.89 [7251]~P1(f327(x72513,x72514))+~P1(f327(x72512,x72514))+P1(f327(f327(f327(f103(f922(x72511,a910)),x72512),x72513),x72514))
% 207.23/207.89 [7377]P22(x73771,x73772,x73773)+~P22(x73771,x73774,x73773)+~P1(f327(f327(f234(f922(f913(x73771),a910)),x73774),x73772))
% 207.23/207.89 [7378]P22(x73781,x73782,x73783)+~P22(x73781,x73782,x73784)+~P1(f327(f327(f234(f922(f913(x73781),a910)),x73783),x73784))
% 207.23/207.89 [7743]~P68(x77431)+E(f327(f327(f80(x77431),f327(x77432,x77433)),f327(f327(f6(a915,x77431),x77432),f327(f302(a915,f327(a113,x77433)),x77434))),f327(f327(f6(a915,x77431),x77432),f327(f302(a915,x77433),x77434)))+~P1(f327(f327(f235(a915),x77433),x77434))
% 207.23/207.89 [7761]E(x77611,x77612)+P1(f327(f327(f173(x77613),x77614),x77612))+~P1(f327(f327(f173(x77613),f327(f327(f152(x77613),x77611),x77614)),x77612))
% 207.23/207.89 [7773]~P108(x77731)+P1(f327(f327(f234(x77731),x77732),x77733))+~P1(f327(f327(f234(x77731),f327(f327(f189(x77731),x77734),x77732)),x77733))
% 207.23/207.89 [7775]~P108(x77751)+P1(f327(f327(f234(x77751),x77752),x77753))+~P1(f327(f327(f234(x77751),f327(f327(f189(x77751),x77752),x77754)),x77753))
% 207.23/207.89 [7777]~P101(x77771)+P1(f327(f327(f234(x77771),x77772),x77773))+~P1(f327(f327(f234(x77771),f327(f327(f102(x77771),x77774),x77772)),x77773))
% 207.23/207.89 [7779]~P101(x77791)+P1(f327(f327(f234(x77791),x77792),x77793))+~P1(f327(f327(f234(x77791),f327(f327(f102(x77791),x77792),x77794)),x77793))
% 207.23/207.89 [7780]~P108(x77801)+P1(f327(f327(f235(x77801),x77802),x77803))+~P1(f327(f327(f235(x77801),f327(f327(f189(x77801),x77804),x77802)),x77803))
% 207.23/207.89 [7781]~P108(x77811)+P1(f327(f327(f235(x77811),x77812),x77813))+~P1(f327(f327(f235(x77811),f327(f327(f189(x77811),x77812),x77814)),x77813))
% 207.23/207.89 [7782]~P112(x77821)+P1(f327(f327(f287(x77821),x77822),x77823))+~P1(f327(f327(f287(x77821),f327(f327(f81(x77821),x77824),x77822)),x77823))
% 207.23/207.89 [7783]~P112(x77831)+P1(f327(f327(f287(x77831),x77832),x77833))+~P1(f327(f327(f287(x77831),f327(f327(f81(x77831),x77832),x77834)),x77833))
% 207.23/207.89 [7859]~P1(f327(f327(f329(x78591),x78592),x78594))+P1(f327(f327(f329(x78591),x78592),x78593))+P1(f327(f327(f329(x78591),x78592),f327(f327(f23(f922(x78591,a910)),x78594),x78593)))
% 207.23/207.89 [7942]P1(f327(x79421,x79422))+P1(f327(x79423,x79422))+~P1(f327(f327(f327(f102(f922(x79424,a910)),x79423),x79421),x79422))
% 207.23/207.89 [7953]~P1(f327(f327(f329(x79531),x79532),x79534))+~P1(f327(f327(f329(x79531),x79532),x79533))+P1(f327(f327(f329(x79531),x79532),f327(f327(f103(f922(x79531,a910)),x79533),x79534)))
% 207.23/207.89 [8000]~P108(x80001)+~P1(f327(f35(x80001),x80004))+E(f327(f327(f64(x80001,x80001,f238(x80001)),x80002),f327(f327(f309(x80001),x80003),x80004)),f327(f327(f238(x80001),x80003),f327(f327(f64(x80001,x80001,f238(x80001)),x80002),x80004)))
% 207.23/207.89 [8001]~P108(x80011)+~P1(f327(f35(x80011),x80014))+E(f327(f327(f64(x80011,x80011,f189(x80011)),x80012),f327(f327(f309(x80011),x80013),x80014)),f327(f327(f189(x80011),x80013),f327(f327(f64(x80011,x80011,f189(x80011)),x80012),x80014)))
% 207.23/207.89 [8002]~P101(x80021)+~P1(f327(f35(x80021),x80024))+E(f327(f327(f64(x80021,x80021,f102(x80021)),x80022),f327(f327(f309(x80021),x80023),x80024)),f327(f327(f102(x80021),x80023),f327(f327(f64(x80021,x80021,f102(x80021)),x80022),x80024)))
% 207.23/207.89 [8003]~P102(x80031)+~P1(f327(f35(x80031),x80034))+E(f327(f327(f64(x80031,x80031,f103(x80031)),x80032),f327(f327(f309(x80031),x80033),x80034)),f327(f327(f103(x80031),x80033),f327(f327(f64(x80031,x80031,f103(x80031)),x80032),x80034)))
% 207.23/207.89 [8005]~P106(x80051)+~P94(x80051)+E(f327(f327(f23(x80051),f327(f327(f81(x80051),f327(f105(x80051),x80052)),x80053)),f327(f327(f81(x80051),f327(f105(x80051),x80052)),x80054)),f327(f327(f81(x80051),f327(f105(x80051),x80052)),f327(f327(f23(x80051),x80053),x80054)))
% 207.23/207.89 [8006]~P140(x80061)+~P94(x80061)+E(f327(f327(f80(x80061),f327(f327(f81(x80061),f327(f105(x80061),x80062)),x80063)),f327(f327(f81(x80061),f327(f105(x80061),x80062)),x80064)),f327(f327(f81(x80061),f327(f105(x80061),x80062)),f327(f327(f80(x80061),x80063),x80064)))
% 207.23/207.89 [8121]E(x81211,x81212)+P1(f327(f327(f329(x81213),x81211),f327(f173(x81213),x81214)))+~P1(f327(f327(f329(x81213),x81211),f327(f173(x81213),f327(f327(f152(x81213),x81212),x81214))))
% 207.23/207.89 [8292]P52(x82921,x82922,x82923)+~P52(x82921,x82922,x82924)+~P1(f327(f327(f234(f922(f921(x82921,x82922),a910)),x82923),x82924))
% 207.23/207.89 [8340]P1(f327(f327(f329(x83401),x83402),x83403))+P1(f327(f327(f329(x83401),x83402),x83404))+~P1(f327(f327(f329(x83401),x83402),f327(f327(f102(f922(x83401,a910)),x83404),x83403)))
% 207.23/207.89 [8350]~P50(x83501,x83504,x83503)+~P1(f327(f327(f329(x83501),x83502),x83504))+P1(f327(f327(f329(f921(x83501,x83501)),f327(f327(f252(x83501,x83501),x83502),x83502)),x83503))
% 207.23/207.89 [8362]~P1(f327(f35(x83622),x83624))+~P1(f327(f35(x83621),x83623))+P1(f327(f35(f921(x83621,x83622)),f327(f327(f254(x83621,x83622),x83623),f327(f16(f922(x83622,a910),x83621),x83624))))
% 207.23/207.89 [8363]~P1(f327(f327(f329(x83631),x83632),x83634))+~P1(f327(f327(f234(f922(x83631,a910)),x83633),x83634))+P1(f327(f327(f234(f922(x83631,a910)),f327(f327(f309(x83631),x83632),x83633)),x83634))
% 207.23/207.89 [8370]~P75(x83702)+~P146(x83702)+E(f327(f327(f9(x83701,x83702),f327(f327(f8(a915,x83702,x83701),f101(x83702)),x83703)),x83704),f327(f101(x83702),f327(f327(f9(x83701,a915),x83703),x83704)))
% 207.23/207.89 [8371]~P75(x83712)+~P142(x83712)+E(f327(f327(f9(x83711,x83712),f327(f327(f8(a1,x83712,x83711),f104(x83712)),x83713)),x83714),f327(f104(x83712),f327(f327(f9(x83711,a1),x83713),x83714)))
% 207.23/207.89 [8395]E(f327(f327(f23(f922(x83951,a910)),x83952),f327(f327(f23(f922(x83951,a910)),x83953),x83954)),x83954)+~P1(f327(f327(f234(f922(x83951,a910)),x83952),x83953))+~P1(f327(f327(f234(f922(x83951,a910)),x83954),x83952))
% 207.23/207.89 [8491]~P1(f327(f35(x84911),x84914))+E(f327(f327(f23(a915),f327(f327(f6(x84911,a915),x84912),x84913)),f327(f327(f6(x84911,a915),x84912),x84914)),f327(f327(f6(x84911,a915),x84912),f327(f327(f23(f922(x84911,a910)),x84913),x84914)))+~P1(f327(f327(f234(f922(x84911,a910)),x84914),x84913))
% 207.23/207.89 [8642]~P6(x86421,x86424,x86423)+~P1(f327(f327(f329(x86421),x86422),x86424))+P1(f327(f327(f329(x86421),x86422),f327(f285(x86421,x86421,x86423),f327(f327(f309(x86421),x86422),f190(f922(x86421,a910))))))
% 207.23/207.89 [8703]~P1(f327(f327(f234(f922(x87031,a910)),x87032),x87033))+~P1(f327(f327(f234(f922(x87031,a910)),x87032),x87034))+P1(f327(f327(f234(f922(x87031,a910)),x87032),f327(f327(f103(f922(x87031,a910)),x87033),x87034)))
% 207.23/207.89 [8805]E(x88051,f190(f922(x88052,a910)))+P1(f327(f35(x88053),x88054))+~P1(f327(f35(f921(x88053,x88052)),f327(f327(f254(x88053,x88052),x88054),f327(f16(f922(x88052,a910),x88053),x88051))))
% 207.23/207.89 [8806]E(x88061,f190(f922(x88062,a910)))+P1(f327(f35(x88063),x88064))+~P1(f327(f35(f921(x88062,x88063)),f327(f327(f254(x88062,x88063),x88061),f327(f16(f922(x88063,a910),x88062),x88064))))
% 207.23/207.89 [8879]P1(f327(f327(f329(x88791),x88792),f316(x88791,x88793)))+~P1(f327(f327(f329(x88791),x88794),f316(x88791,x88793)))+~P1(f327(f327(f329(f921(x88791,x88791)),f327(f327(f252(x88791,x88791),x88792),x88794)),x88793))
% 207.24/207.89 [8936]~P35(x89361,x89364)+P1(f327(f327(f329(f921(x89361,x89361)),f327(f327(f252(x89361,x89361),x89363),x89362)),f307(x89361,x89364)))+P35(x89361,f327(f327(f309(f921(x89361,x89361)),f327(f327(f252(x89361,x89361),x89362),x89363)),x89364))
% 207.24/207.89 [8937]~P55(x89371,x89374)+P1(f327(f327(f329(f921(x89371,x89371)),f327(f327(f252(x89371,x89371),x89373),x89372)),f307(x89371,x89374)))+P55(x89371,f327(f327(f309(f921(x89371,x89371)),f327(f327(f252(x89371,x89371),x89372),x89373)),x89374))
% 207.24/207.89 [9019]~E(x90192,x90193)+~P1(f327(f327(f329(x90191),x90192),f327(f173(x90191),x90194)))+P1(f327(f327(f329(f921(x90191,x90191)),f327(f327(f252(x90191,x90191),x90192),x90193)),f327(f173(f921(x90191,x90191)),f327(f327(f182(x90191,x90191),x90194),x90194))))
% 207.24/207.89 [9109]~E(x91093,x91094)+P1(f327(f327(f257(x91091,x91091,a910),a324),x91092))+~P1(f327(f327(f329(f921(x91091,x91091)),x91092),f327(f173(f921(x91091,x91091)),f327(f327(f182(x91091,x91091),x91093),x91094))))
% 207.24/207.89 [9155]P1(f327(f327(f329(f921(f916(x91551),f916(x91551))),f327(f327(f252(f916(x91551),f916(x91551)),x91552),x91553)),f148(x91551,x91554)))+~E(f327(f327(f176(x91551),f327(f191(f916(x91551)),x91552)),x91553),x91552)+~P1(f327(f327(f235(a915),f327(f191(f916(x91551)),x91552)),f327(f191(f916(x91551)),x91553)))
% 207.24/207.89 [9158]~P49(x91581,x91584)+~P1(f327(f327(f329(f921(x91581,x91581)),f327(f327(f252(x91581,x91581),x91583),x91582)),x91584))+P1(f327(f327(f329(f921(x91581,x91581)),f327(f327(f252(x91581,x91581),x91582),x91583)),x91584))
% 207.24/207.89 [9249]~P1(f327(f35(x92491),x92494))+P1(f327(f327(f329(x92491),f893(x92492,x92493,x92494,x92491)),x92494))+P1(f327(f35(x92493),f327(f327(f40(x92491,f922(x92493,a910)),x92494),x92492)))
% 207.24/207.89 [9250]~P1(f327(f35(x92501),x92504))+P1(f327(f327(f329(x92501),f496(x92502,x92503,x92504,x92501)),x92504))+P1(f327(f35(x92503),f327(f327(f40(x92501,f922(x92503,a910)),x92504),x92502)))
% 207.24/207.89 [9335]P1(f327(f327(f329(f921(x93351,x93351)),x93352),f327(f327(f289(x93351,x93351,x93351),x93353),f307(x93351,x93353))))+~P1(f327(f327(f235(a915),f2(a915)),x93354))+~P1(f327(f327(f329(f921(x93351,x93351)),x93352),f327(f327(f184(f921(x93351,x93351),a910),x93354),x93353)))
% 207.24/207.89 [9343]~P35(x93431,x93432)+~P1(f327(f327(f329(f921(x93431,x93431)),f327(f327(f252(x93431,x93431),x93434),x93433)),x93432))+~P1(f327(f327(f329(f921(x93431,x93431)),f327(f327(f252(x93431,x93431),x93433),x93434)),x93432))
% 207.24/207.89 [9467]~P1(f327(f35(x94671),x94674))+E(f327(f327(f6(x94671,a915),f327(f327(f8(f922(x94672,a910),a915,x94671),f36(x94672)),x94673)),x94674),f327(f36(f921(x94671,x94672)),f327(f327(f254(x94671,x94672),x94674),x94673)))+P1(f327(f327(f329(x94671),f556(x94673,x94672,x94674,x94671)),x94674))
% 207.24/207.89 [9471]~P1(f327(f138(x94711),x94712))+P1(f327(f138(x94711),f327(f327(f160(x94711,x94712),x94713),x94714)))+P1(f327(f327(f329(x94711),x94714),f327(f327(f23(f922(x94711,a910)),f327(f173(x94711),x94712)),f327(f327(f309(x94711),f327(f327(f165(x94711),x94712),x94713)),f190(f922(x94711,a910))))))
% 207.24/207.89 [9488]~P1(f327(f35(x94882),x94883))+~P1(f327(f35(x94881),f327(x94884,f893(x94884,x94881,x94883,x94882))))+P1(f327(f35(x94881),f327(f327(f40(x94882,f922(x94881,a910)),x94883),x94884)))
% 207.24/207.89 [9489]~P1(f327(f35(x94892),x94893))+~P1(f327(f35(x94891),f327(x94894,f496(x94894,x94891,x94893,x94892))))+P1(f327(f35(x94891),f327(f327(f40(x94892,f922(x94891,a910)),x94893),x94894)))
% 207.24/207.89 [9567]~P1(f327(f327(f329(f921(x95671,x95671)),x95672),f327(f327(f289(x95671,x95671,x95671),x95674),f307(x95671,x95674))))+P1(f327(f327(f329(f921(x95671,x95671)),x95672),f327(f327(f289(x95671,x95671,x95671),x95673),f307(x95671,x95673))))+~P1(f327(f327(f234(f922(f921(x95671,x95671),a910)),x95674),x95673))
% 207.24/207.89 [9577]E(f327(f327(f176(x95771),f656(x95774,x95773,x95772,x95771)),x95773),f327(f327(f176(x95771),f656(x95774,x95773,x95772,x95771)),x95772))+~P1(f327(f327(f329(f921(f916(x95771),f916(x95771))),f327(f327(f252(f916(x95771),f916(x95771)),x95772),x95773)),f148(x95771,x95774)))+E(f327(f327(f176(x95771),f327(f191(f916(x95771)),x95772)),x95773),x95772)
% 207.24/207.89 [9593]~P1(f327(f35(x95931),x95934))+E(f327(f327(f6(x95931,a915),f327(f327(f8(f922(x95932,a910),a915,x95931),f36(x95932)),x95933)),x95934),f327(f36(f921(x95931,x95932)),f327(f327(f254(x95931,x95932),x95934),x95933)))+~P1(f327(f35(x95932),f327(x95933,f556(x95933,x95932,x95934,x95931))))
% 207.24/207.89 [9597]~E(f327(f191(f916(x95971)),x95973),f327(f191(f916(x95971)),x95972))+P1(f327(f327(f329(f921(f916(x95971),f916(x95971))),f327(f327(f252(f916(x95971),f916(x95971)),x95972),x95973)),f159(x95971,x95974)))+P1(f327(f327(f329(f921(x95971,x95971)),f659(x95974,x95973,x95972,x95971)),f327(f173(f921(x95971,x95971)),f327(f327(f182(x95971,x95971),x95972),x95973))))
% 207.24/207.89 [9678]~P1(f327(f327(f329(f921(f916(x96781),f916(x96781))),f327(f327(f252(f916(x96781),f916(x96781)),x96782),x96783)),f148(x96781,x96784)))+E(f327(f327(f176(x96781),f327(f191(f916(x96781)),x96782)),x96783),x96782)+P1(f327(f327(f235(a915),f656(x96784,x96783,x96782,x96781)),f327(f327(f238(a915),f327(f191(f916(x96781)),x96782)),f327(f191(f916(x96781)),x96783))))
% 207.24/207.89 [9702]~P1(f327(f327(f329(f921(f916(x97021),f916(x97021))),f327(f327(f252(f916(x97021),f916(x97021)),x97022),x97023)),f148(x97021,x97024)))+P1(f327(f327(f235(a915),f327(f191(f916(x97021)),x97022)),f327(f191(f916(x97021)),x97023)))+P1(f327(f327(f235(a915),f656(x97024,x97023,x97022,x97021)),f327(f327(f238(a915),f327(f191(f916(x97021)),x97022)),f327(f191(f916(x97021)),x97023))))
% 207.24/207.89 [10106]~P1(f327(f327(f329(f921(f916(x101061),f916(x101061))),f327(f327(f252(f916(x101061),f916(x101061)),x101062),x101063)),f148(x101061,x101064)))+E(f327(f327(f176(x101061),f327(f191(f916(x101061)),x101062)),x101063),x101062)+P1(f327(f327(f329(f921(x101061,x101061)),f327(f327(f252(x101061,x101061),f327(f327(f165(x101061),x101062),f656(x101064,x101063,x101062,x101061))),f327(f327(f165(x101061),x101063),f656(x101064,x101063,x101062,x101061)))),x101064))
% 207.24/207.89 [10107]~P1(f327(f327(f329(f921(f916(x101071),f916(x101071))),f327(f327(f252(f916(x101071),f916(x101071)),x101072),x101073)),f148(x101071,x101074)))+P1(f327(f327(f235(a915),f327(f191(f916(x101071)),x101072)),f327(f191(f916(x101071)),x101073)))+P1(f327(f327(f329(f921(x101071,x101071)),f327(f327(f252(x101071,x101071),f327(f327(f165(x101071),x101072),f656(x101074,x101073,x101072,x101071))),f327(f327(f165(x101071),x101073),f656(x101074,x101073,x101072,x101071)))),x101074))
% 207.24/207.89 [10174]~E(f327(f191(f916(x101741)),x101742),f327(f191(f916(x101741)),x101743))+P1(f327(f327(f329(f921(f916(x101741),f916(x101741))),f327(f327(f252(f916(x101741),f916(x101741)),x101742),x101743)),f159(x101741,x101744)))+~P1(f327(f327(f329(f921(x101741,x101741)),f327(f327(f252(x101741,x101741),f327(f327(f165(x101741),x101742),f643(x101744,x101743,x101742,x101741))),f327(f327(f165(x101741),x101743),f643(x101744,x101743,x101742,x101741)))),x101744))
% 207.24/207.89 [10325]~P68(x103251)+~P1(f327(f35(x103252),x103254))+E(f327(f166(x103251),f327(f327(f155(x103252,x103251),x103253),f90(f916(x103252),f327(f327(f18(f916(x103252),a910,a910),f327(f327(f8(a910,f922(a910,a910),f916(x103252)),a325),f327(f327(f7(f916(x103252),f922(x103252,a910),a910),f327(f327(f8(f922(x103252,a910),f922(f922(x103252,a910),a910),f916(x103252)),a324),f173(x103252))),x103254))),f138(x103252))))),f233(x103252,x103251,x103253,x103254))
% 207.24/207.89 [7593]~P61(x75932)+E(x75931,f2(x75932))+E(f327(f327(f291(x75932),f327(f327(f80(x75932),x75933),f327(f327(f81(x75932),x75934),x75931))),x75931),f327(f327(f80(x75932),x75934),f327(f327(f291(x75932),x75933),x75931)))
% 207.24/207.89 [7594]~P58(x75942)+E(x75941,f2(x75942))+E(f327(f327(f37(x75942),f327(f327(f80(x75942),x75943),f327(f327(f81(x75942),x75944),x75941))),x75941),f327(f327(f80(x75942),x75944),f327(f327(f37(x75942),x75943),x75941)))
% 207.24/207.89 [7595]~P58(x75952)+E(x75951,f2(x75952))+E(f327(f327(f37(x75952),f327(f327(f80(x75952),x75953),f327(f327(f81(x75952),x75951),x75954))),x75951),f327(f327(f80(x75952),x75954),f327(f327(f37(x75952),x75953),x75951)))
% 207.24/207.89 [7822]~P62(x78222)+E(x78221,f2(x78222))+E(f327(f327(f291(x78222),f327(f327(f23(x78222),x78223),f327(f327(f81(x78222),x78221),x78224))),x78221),f327(f327(f23(x78222),f327(f327(f291(x78222),x78223),x78221)),x78224))
% 207.24/207.89 [7823]~P61(x78232)+E(x78231,f2(x78232))+E(f327(f327(f291(x78232),f327(f327(f80(x78232),x78233),f327(f327(f81(x78232),x78234),x78231))),x78231),f327(f327(f80(x78232),f327(f327(f291(x78232),x78233),x78231)),x78234))
% 207.24/207.89 [7824]~P62(x78242)+E(x78241,f2(x78242))+E(f327(f327(f291(x78242),f327(f327(f80(x78242),x78243),f327(f327(f81(x78242),x78241),x78244))),x78241),f327(f327(f80(x78242),f327(f327(f291(x78242),x78243),x78241)),x78244))
% 207.24/207.89 [8522]~P1(f327(f161(x85221,x85223),x85224))+~P1(f327(f161(x85221,x85222),x85224))+P1(f327(f161(x85221,f327(f327(f103(f922(x85221,a910)),x85222),x85223)),x85224))
% 207.24/207.89 [8894]~E(f327(f327(f289(x88941,x88941,x88941),x88942),x88944),f190(f922(f921(x88941,x88941),a910)))+~E(f327(f327(f289(x88941,x88941,x88941),x88942),x88943),f190(f922(f921(x88941,x88941),a910)))+E(f327(f327(f289(x88941,x88941,x88941),x88942),f327(f327(f102(f922(f921(x88941,x88941),a910)),x88943),x88944)),f190(f922(f921(x88941,x88941),a910)))
% 207.24/207.89 [9020]~P1(f327(f327(f234(f922(x90201,a910)),x90203),x90204))+~P1(f327(f327(f234(f922(x90201,a910)),x90202),x90204))+P1(f327(f327(f234(f922(x90201,a910)),f327(f327(f102(f922(x90201,a910)),x90202),x90203)),x90204))
% 207.24/207.89 [9397]~P1(f327(f35(x93971),x93974))+~P1(f327(f35(x93971),x93973))+E(f327(f327(f23(a915),f327(f327(f80(a915),f327(f327(f6(x93971,a915),x93972),x93973)),f327(f327(f6(x93971,a915),x93972),x93974))),f327(f327(f6(x93971,a915),x93972),f327(f327(f103(f922(x93971,a910)),x93973),x93974))),f327(f327(f6(x93971,a915),x93972),f327(f327(f102(f922(x93971,a910)),x93973),x93974)))
% 207.24/207.89 [9485]~P1(f327(f327(f329(x94851),x94853),x94852))+~P1(f327(f327(f234(f922(x94851,a910)),x94852),f327(f327(f309(x94851),x94853),x94854)))+P1(f327(f327(f234(f922(x94851,a910)),f327(f327(f23(f922(x94851,a910)),x94852),f327(f327(f309(x94851),x94853),f190(f922(x94851,a910))))),x94854))
% 207.24/207.89 [9653]~P1(f327(f327(f329(x96531),x96533),x96532))+P1(f327(f327(f234(f922(x96531,a910)),x96532),f327(f327(f309(x96531),x96533),x96534)))+~P1(f327(f327(f234(f922(x96531,a910)),f327(f327(f23(f922(x96531,a910)),x96532),f327(f327(f309(x96531),x96533),f190(f922(x96531,a910))))),x96534))
% 207.24/207.89 [9743]~P1(f327(f327(f234(a915),x97431),x97433))+~P1(f327(f327(f235(a915),x97432),x97434))+P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),f327(f327(f252(a915,a915),x97431),x97432)),f327(f327(f252(a915,a915),x97433),x97434))),a32))
% 207.24/207.89 [9744]~P1(f327(f327(f234(a915),x97442),x97444))+~P1(f327(f327(f234(a915),x97441),x97443))+P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),f327(f327(f252(a915,a915),x97441),x97442)),f327(f327(f252(a915,a915),x97443),x97444))),a70))
% 207.24/207.89 [10036]~P1(f327(f327(f329(f916(x100361)),x100364),f162(x100361,x100363)))+~P1(f327(f327(f329(f916(x100361)),x100364),f162(x100361,x100362)))+P1(f327(f161(x100361,f327(f327(f103(f922(x100361,a910)),f327(f327(f7(x100361,f922(x100361,a910),a910),f329(x100361)),x100362)),f327(f327(f7(x100361,f922(x100361,a910),a910),f329(x100361)),x100363))),x100364))
% 207.24/207.89 [10140]~P23(x101401,f922(f922(x101401,a910),a910),f327(f327(f7(x101401,f922(f921(x101401,x101401),a910),f922(f922(x101401,a910),a910)),f327(f327(f8(f922(x101401,a910),f922(f922(f921(x101401,x101401),a910),f922(f922(x101401,a910),a910)),x101401),f61(x101401)),f327(f327(f7(x101401,f922(x101401,a910),f922(x101401,a910)),f309(x101401)),f190(f922(x101401,a910))))),x101403),x101402)+~P1(f327(f327(f329(x101401),x101404),x101402))+E(f327(f327(f23(f922(f922(x101401,a910),a910)),f327(f327(f61(x101401),x101402),x101403)),f327(f327(f61(x101401),f327(f327(f309(x101401),x101404),f190(f922(x101401,a910)))),x101403)),f327(f327(f61(x101401),f327(f327(f23(f922(x101401,a910)),x101402),f327(f327(f309(x101401),x101404),f190(f922(x101401,a910))))),x101403))
% 207.24/207.89 [10278]~P50(x102781,x102782,x102784)+~P1(f327(f327(f329(f921(x102781,x102781)),x102783),x102784))+P1(f327(f327(f257(x102781,x102781,a910),f327(f327(f7(x102781,f922(x102781,a910),f922(x102781,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x102781,a910),f922(x102781,a910)),x102781),f8(a910,a910,x102781)),f327(f327(f8(a910,f922(a910,a910),x102781),a325),f327(f327(f7(x102781,f922(x102781,a910),a910),f329(x102781)),x102782)))),f327(f327(f7(x102781,f922(x102781,a910),a910),f329(x102781)),x102782))),x102783))
% 207.24/207.89 [10293]P1(f327(f35(x102931),x102932))+~P1(f327(f35(x102933),f327(f310(x102931,x102933,x102934),x102932)))+~P1(f327(f35(x102931),f327(f262(x102931),f327(f327(f18(x102931,a910,a910),f327(f327(f8(a910,f922(a910,a910),x102931),a325),f327(f327(f7(x102931,f922(x102931,a910),a910),f329(x102931)),x102932))),f327(f327(f7(x102931,x102933,a910),f327(f327(f8(x102933,f922(x102933,a910),x102931),a324),x102934)),f327(x102934,f497(x102934,x102933,x102932,x102931)))))))
% 207.24/207.89 [8276]~P62(x82762)+E(x82761,f2(x82762))+E(f327(f327(f291(x82762),f327(f327(f23(x82762),f327(f327(f81(x82762),x82761),x82763)),x82764)),x82761),f327(f327(f23(x82762),x82763),f327(f327(f291(x82762),x82764),x82761)))
% 207.24/207.89 [8277]~P62(x82772)+E(x82771,f2(x82772))+E(f327(f327(f291(x82772),f327(f327(f80(x82772),f327(f327(f81(x82772),x82771),x82773)),x82774)),x82771),f327(f327(f80(x82772),x82773),f327(f327(f291(x82772),x82774),x82771)))
% 207.24/207.89 [9184]~E(f327(f327(f289(x91841,x91841,x91841),x91843),x91844),f190(f922(f921(x91841,x91841),a910)))+~E(f327(f327(f289(x91841,x91841,x91841),x91842),x91844),f190(f922(f921(x91841,x91841),a910)))+E(f327(f327(f289(x91841,x91841,x91841),f327(f327(f102(f922(f921(x91841,x91841),a910)),x91842),x91843)),x91844),f190(f922(f921(x91841,x91841),a910)))
% 207.24/207.89 [9952]~P1(f327(f161(x99521,x99523),x99524))+~P1(f327(f161(x99521,x99522),x99524))+P1(f327(f161(x99521,f327(f327(f18(x99521,a910,a910),f327(f327(f8(a910,f922(a910,a910),x99521),a325),x99522)),x99523)),x99524))
% 207.24/207.89 [10214]P1(f327(x102141,f494(x102142,x102143,x102141,x102144)))+~P1(f327(f35(x102144),f327(f262(x102144),x102141)))+P1(f327(f35(x102143),f327(f262(x102143),f327(f327(f8(f922(x102144,a910),a910,x102143),f87(x102144)),f327(f327(f8(f922(x102144,a910),f922(x102144,a910),x102143),f327(f18(x102144,a910,a910),f327(f327(f8(a910,f922(a910,a910),x102144),a325),x102141))),x102142)))))
% 207.24/207.89 [10232]~P1(f327(f35(x102322),f327(f262(x102322),x102323)))+~P1(f327(f35(x102321),f327(f262(x102321),f327(f327(f7(x102321,x102322,a910),x102324),f494(x102324,x102321,x102323,x102322)))))+P1(f327(f35(x102321),f327(f262(x102321),f327(f327(f8(f922(x102322,a910),a910,x102321),f87(x102322)),f327(f327(f8(f922(x102322,a910),f922(x102322,a910),x102321),f327(f18(x102322,a910,a910),f327(f327(f8(a910,f922(a910,a910),x102322),a325),x102323))),x102324)))))
% 207.24/207.89 [10304]~P1(f327(f35(x103041),x103044))+P1(f327(f327(f329(x103041),f790(x103042,x103043,x103044,x103041)),x103044))+P1(f327(f35(x103043),f327(f262(x103043),f327(f327(f8(f922(x103041,a910),a910,x103043),f87(x103041)),f327(f327(f8(f922(x103041,a910),f922(x103041,a910),x103043),f327(f18(x103041,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103041),a325),f327(f327(f7(x103041,f922(x103041,a910),a910),f329(x103041)),x103044)))),x103042)))))
% 207.24/207.89 [10310]~P1(f327(f35(x103102),x103103))+~P1(f327(f35(x103101),f327(f262(x103101),f327(f327(f7(x103101,x103102,a910),x103104),f790(x103104,x103101,x103103,x103102)))))+P1(f327(f35(x103101),f327(f262(x103101),f327(f327(f8(f922(x103102,a910),a910,x103101),f87(x103102)),f327(f327(f8(f922(x103102,a910),f922(x103102,a910),x103101),f327(f18(x103102,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103102),a325),f327(f327(f7(x103102,f922(x103102,a910),a910),f329(x103102)),x103103)))),x103104)))))
% 207.24/207.89 [5200]~E(x52002,x52004)+E(f170(x52001,x52002,x52003),f170(x52001,x52004,x52005))+~E(x52002,f2(a915))
% 207.24/207.89 [5451]E(x54511,x54512)+~E(f170(x54514,x54513,x54511),f170(x54514,x54515,x54512))+E(x54513,f2(a915))
% 207.24/207.89 [6725]E(x67251,x67252)+~E(f327(x67253,x67251),f327(x67253,x67252))+~P23(x67254,x67255,x67253,f242(f922(x67254,a910)))
% 207.24/207.89 [7625]E(x76251,x76252)+~P23(x76253,x76254,x76255,f242(f922(x76253,a910)))+~E(f327(f310(x76253,x76254,x76255),x76251),f327(f310(x76253,x76254,x76255),x76252))
% 207.24/207.89 [7876]P23(x78762,x78763,f500(x78764,x78763,x78762,x78761),x78761)+~E(f327(f310(x78763,x78762,x78765),x78764),x78761)+E(x78761,f190(f922(x78762,a910)))
% 207.24/207.89 [8406]~P1(f327(f327(x84063,x84062),x84065))+~P1(f327(f327(x84063,x84064),x84062))+P1(f327(f327(f329(x84061),x84062),f290(x84061,x84063,x84064,x84065)))
% 207.24/207.89 [8407]~P1(f327(f327(x84073,x84072),x84075))+~P1(f327(f327(x84073,x84074),x84072))+P1(f327(f327(f329(x84071),x84072),f299(x84071,x84073,x84074,x84075)))
% 207.24/207.89 [8711]~P23(x87111,x87112,x87113,x87114)+P24(x87111,x87112,x87113,x87114,x87115)+~E(f327(f310(x87111,x87112,x87113),x87114),x87115)
% 207.24/207.89 [8844]~P24(x88441,x88443,x88444,x88442,x88445)+~P1(f327(f35(x88443),x88445))+P1(f327(f35(x88441),x88442))
% 207.24/207.89 [8845]~P24(x88453,x88451,x88454,x88455,x88452)+~P1(f327(f35(x88453),x88455))+P1(f327(f35(x88451),x88452))
% 207.24/207.89 [8977]~P23(x89771,x89773,x89775,f242(f922(x89771,a910)))+~P23(x89773,x89772,x89774,f242(f922(x89773,a910)))+P23(x89771,x89772,f327(f72(x89773,x89772,x89771,x89774),x89775),f242(f922(x89771,a910)))
% 207.24/207.89 [9544]P1(f327(f327(f329(f921(x95441,x95441)),f327(f327(f252(x95441,x95441),x95442),x95443)),f307(x95441,x95444)))+~P1(f327(f327(f329(f921(x95441,x95441)),f327(f327(f252(x95441,x95441),x95442),x95445)),f307(x95441,x95444)))+~P1(f327(f327(f329(f921(x95441,x95441)),f327(f327(f252(x95441,x95441),x95445),x95443)),f307(x95441,x95444)))
% 207.24/207.89 [9584]~P108(x95842)+~P1(f327(f138(x95841),x95845))+P1(f327(f138(x95841),f150(x95841,x95842,x95843,x95844,x95845)))
% 207.24/207.89 [5526]~E(x55262,f114(x55261))+E(f327(f327(f135(x55261),x55262),x55263),f327(f327(f152(x55261),x55264),x55265))+~E(x55263,f327(f327(f152(x55261),x55264),x55265))
% 207.24/207.89 [5527]~E(x55272,f114(x55271))+E(f327(f327(f135(x55271),x55272),x55273),f327(f327(f152(x55271),x55274),x55275))+~E(f327(f327(f152(x55271),x55274),x55275),x55273)
% 207.24/207.89 [6681]~E(f327(f191(f916(x66811)),x66815),f327(f191(f916(x66812)),x66814))+E(f327(f327(f155(f921(x66811,x66812),x66812),f256(x66811,x66812)),x66813),x66814)+~E(f327(f327(f182(x66811,x66812),x66815),x66814),x66813)
% 207.24/207.89 [6682]~E(f327(f191(f916(x66821)),x66824),f327(f191(f916(x66822)),x66825))+E(f327(f327(f155(f921(x66821,x66822),x66821),f251(x66821,x66822)),x66823),x66824)+~E(f327(f327(f182(x66821,x66822),x66824),x66825),x66823)
% 207.24/207.89 [7161]~P108(x71611)+~P11(x71611,f327(f327(f155(x71612,x71611),x71613),x71615))+P11(x71611,f327(f327(f155(x71612,x71611),x71613),f327(f137(x71612,x71614),x71615)))
% 207.24/207.89 [7204]~P1(f327(x72043,x72045))+~P1(f327(f327(x72042,x72044),x72045))+P1(f327(f327(f93(x72041,x72042,x72043),x72044),x72045))
% 207.24/207.89 [7304]~P108(x73041)+P11(x73041,f327(f327(f155(x73042,x73041),x73043),f171(x73042,x73044,x73045)))+~P11(x73041,f327(f327(f155(x73042,x73041),x73043),x73045))
% 207.24/207.89 [7327]~P52(x73273,x73272,x73275)+~P52(x73271,x73273,x73274)+P52(x73271,x73272,f327(f327(f289(x73271,x73273,x73272),x73274),x73275))
% 207.24/207.89 [7424]E(x74241,x74242)+~P23(x74243,x74244,x74245,f242(f922(x74243,a910)))+~E(f327(f327(f155(x74243,x74244),x74245),x74241),f327(f327(f155(x74243,x74244),x74245),x74242))
% 207.24/207.89 [7579]~P1(f327(f327(f234(a915),x75791),f327(x75793,x75795)))+P1(f327(f327(f234(a915),x75791),f156(x75792,x75793,x75794)))+~P1(f327(f327(f329(x75792),x75795),f327(f173(x75792),x75794)))
% 207.24/207.89 [7580]~P1(f327(f327(f235(a915),x75801),f327(x75803,x75805)))+P1(f327(f327(f235(a915),x75801),f156(x75802,x75803,x75804)))+~P1(f327(f327(f329(x75802),x75805),f327(f173(x75802),x75804)))
% 207.24/207.89 [7972]P1(f327(x79721,x79722))+~P1(f327(x79721,x79723))+~P1(f327(f327(f329(x79724),x79722),f327(f173(x79724),f170(x79724,x79725,x79723))))
% 207.24/207.89 [7973]P1(f327(x79731,x79732))+~P1(f327(x79731,x79733))+~P1(f327(f327(f329(x79734),x79733),f327(f173(x79734),f170(x79734,x79735,x79732))))
% 207.24/207.89 [7977]~P110(x79771)+P1(f327(f327(f234(f922(x79771,a910)),f303(x79771,x79772,x79773)),f303(x79771,x79774,x79775)))+P1(f327(f327(f234(x79771),x79772),x79773))
% 207.24/207.89 [7998]~P3(x79981)+P1(f327(f327(f234(x79981),f327(f327(f41(x79982,x79981),x79983),x79984)),f327(x79984,x79985)))+~P1(f327(f327(f329(x79982),x79985),x79983))
% 207.24/207.89 [8067]~P23(x80671,x80672,x80674,x80673)+E(f327(f77(x80671,x80672,x80673,x80674),f327(x80674,x80675)),x80675)+~P1(f327(f327(f329(x80671),x80675),x80673))
% 207.24/207.89 [8068]~P23(x80681,x80682,x80684,x80683)+E(f327(f92(x80681,x80682,x80683,x80684),f327(x80684,x80685)),x80685)+~P1(f327(f327(f329(x80681),x80685),x80683))
% 207.24/207.89 [8265]~P1(f327(x82651,x82655))+P1(f327(x82651,f861(x82651,x82652,x82653,x82654)))+~P1(f327(f327(f329(x82654),x82655),x82653))
% 207.24/207.89 [8266]~P1(f327(x82661,x82665))+P1(f327(x82661,f861(x82661,x82662,x82663,x82664)))+~P1(f327(f327(f329(x82664),x82665),x82662))
% 207.24/207.89 [8360]P1(f327(f35(x83601),x83602))+~P1(f327(f35(x83603),x83604))+~P1(f327(f327(f234(f922(x83601,a910)),x83602),f327(f310(x83603,x83601,x83605),x83604)))
% 207.24/207.89 [8526]E(x85261,x85262)+~P23(x85263,x85264,x85265,f327(f327(f102(f922(x85263,a910)),f327(f173(x85263),x85261)),f327(f173(x85263),x85262)))+~E(f327(f327(f155(x85263,x85264),x85265),x85261),f327(f327(f155(x85263,x85264),x85265),x85262))
% 207.24/207.89 [8579]~P110(x85791)+~P1(f327(f327(f235(f922(x85791,a910)),f303(x85791,x85794,x85795)),f303(x85791,x85792,x85793)))+P1(f327(f327(f234(x85791),x85792),x85793))
% 207.24/207.89 [8641]~P23(x86411,x86414,x86415,f242(f922(x86411,a910)))+~P1(f327(f327(f329(x86414),f327(x86415,x86412)),f327(f310(x86411,x86414,x86415),x86413)))+P1(f327(f327(f329(x86411),x86412),x86413))
% 207.24/207.89 [8717]P1(f327(x87171,x87172))+~P1(f327(x87171,f876(x87171,x87173,x87174,x87175)))+~P1(f327(f327(f329(x87175),x87172),x87174))
% 207.24/207.89 [8718]P1(f327(x87181,x87182))+~P1(f327(x87181,f876(x87181,x87183,x87184,x87185)))+~P1(f327(f327(f329(x87185),x87182),x87183))
% 207.24/207.89 [9017]~P23(x90172,x90173,x90171,x90174)+E(f327(x90171,f327(f77(x90172,x90173,x90174,x90171),x90175)),x90175)+~P1(f327(f327(f329(x90173),x90175),f327(f310(x90172,x90173,x90171),x90174)))
% 207.24/207.89 [9124]E(x91241,f114(x91242))+E(f327(f327(f152(x91242),x91243),f676(x91244,x91243,x91245,x91241,x91242)),x91241)+~E(f327(f327(f135(x91242),x91241),x91245),f327(f327(f152(x91242),x91243),x91244))
% 207.24/207.89 [9125]E(x91251,f114(x91252))+E(f327(f327(f152(x91252),x91253),f677(x91254,x91251,x91255,x91253,x91252)),x91251)+~E(f327(f327(f135(x91252),x91251),x91254),f327(f327(f152(x91252),x91253),x91255))
% 207.24/207.89 [9143]E(f327(f327(f152(x91432),x91433),f676(x91434,x91433,x91431,x91435,x91432)),x91435)+~E(f327(f327(f135(x91432),x91435),x91431),f327(f327(f152(x91432),x91433),x91434))+E(x91431,f327(f327(f152(x91432),x91433),x91434))
% 207.24/207.89 [9144]E(f327(f327(f152(x91441),x91442),f677(x91444,x91445,x91443,x91442,x91441)),x91445)+~E(f327(f327(f135(x91441),x91445),x91444),f327(f327(f152(x91441),x91442),x91443))+E(f327(f327(f152(x91441),x91442),x91443),x91444)
% 207.24/207.89 [9220]~E(f327(f310(x92203,x92202,x92204),f242(f922(x92203,a910))),f242(f922(x92202,a910)))+~E(f327(f310(x92201,x92203,x92205),f242(f922(x92201,a910))),f242(f922(x92203,a910)))+E(f327(f310(x92201,x92202,f327(f72(x92203,x92202,x92201,x92204),x92205)),f242(f922(x92201,a910))),f242(f922(x92202,a910)))
% 207.24/207.89 [9590]E(x95901,f114(x95902))+~E(f327(f327(f135(x95902),x95901),x95903),f327(f327(f152(x95902),x95905),x95904))+E(f327(f327(f135(x95902),f677(x95903,x95901,x95904,x95905,x95902)),x95903),x95904)
% 207.24/207.89 [9591]E(x95911,f114(x95912))+~E(f327(f327(f135(x95912),x95911),x95915),f327(f327(f152(x95912),x95914),x95913))+E(f327(f327(f135(x95912),f676(x95913,x95914,x95915,x95911,x95912)),x95915),x95913)
% 207.24/207.89 [9598]E(f327(f327(f135(x95982),f676(x95984,x95983,x95981,x95985,x95982)),x95981),x95984)+~E(f327(f327(f135(x95982),x95985),x95981),f327(f327(f152(x95982),x95983),x95984))+E(x95981,f327(f327(f152(x95982),x95983),x95984))
% 207.24/207.89 [9599]~E(f327(f327(f135(x95991),x95995),x95994),f327(f327(f152(x95991),x95992),x95993))+E(f327(f327(f135(x95991),f677(x95994,x95995,x95993,x95992,x95991)),x95994),x95993)+E(f327(f327(f152(x95991),x95992),x95993),x95994)
% 207.24/207.89 [9600]E(f327(f327(f135(x96001),x96005),f679(x96003,x96002,x96004,x96005,x96001)),x96002)+E(f327(f327(f135(x96001),x96002),f678(x96003,x96002,x96004,x96005,x96001)),x96005)+~E(f327(f327(f135(x96001),x96005),x96004),f327(f327(f135(x96001),x96002),x96003))
% 207.24/207.89 [9636]~P108(x96361)+P11(x96361,f327(f327(f155(x96362,x96361),x96363),f150(x96362,x96361,x96363,x96364,x96365)))+~P11(x96361,f327(f327(f155(x96362,x96361),x96363),x96365))
% 207.24/207.89 [9650]~P56(x96505,x96501,x96504,x96503)+P1(f327(f327(x96501,x96502),f539(x96503,x96504,x96501,x96505,x96502)))+~P1(f327(f327(f329(x96505),x96502),x96504))
% 207.24/207.89 [9651]~P56(x96515,x96511,x96514,x96513)+P1(f327(f327(x96511,x96512),f795(x96513,x96514,x96511,x96515,x96512)))+~P1(f327(f327(f329(x96515),x96512),x96514))
% 207.24/207.89 [9755]~P1(f327(f327(f329(f921(x97551,x97551)),f327(f327(f252(x97551,x97551),x97555),x97553)),f307(x97551,x97554)))+P1(f327(f327(f329(f921(x97551,x97551)),f327(f327(f252(x97551,x97551),x97552),x97553)),f327(f327(f289(x97551,x97551,x97551),x97554),f307(x97551,x97554))))+~P1(f327(f327(f329(f921(x97551,x97551)),f327(f327(f252(x97551,x97551),x97552),x97555)),f327(f327(f289(x97551,x97551,x97551),x97554),f307(x97551,x97554))))
% 207.24/207.89 [9756]~P1(f327(f327(f329(f921(x97561,x97561)),f327(f327(f252(x97561,x97561),x97562),x97565)),f307(x97561,x97564)))+P1(f327(f327(f329(f921(x97561,x97561)),f327(f327(f252(x97561,x97561),x97562),x97563)),f327(f327(f289(x97561,x97561,x97561),x97564),f307(x97561,x97564))))+~P1(f327(f327(f329(f921(x97561,x97561)),f327(f327(f252(x97561,x97561),x97565),x97563)),f327(f327(f289(x97561,x97561,x97561),x97564),f307(x97561,x97564))))
% 207.24/207.89 [9758]P1(f327(f327(f329(f921(f916(x97581),f916(x97581))),f327(f327(f252(f916(x97581),f916(x97581)),x97582),x97583)),f159(x97581,f307(x97581,x97584))))+~P1(f327(f327(f329(f921(f916(x97581),f916(x97581))),f327(f327(f252(f916(x97581),f916(x97581)),x97582),x97585)),f159(x97581,f307(x97581,x97584))))+~P1(f327(f327(f329(f921(f916(x97581),f916(x97581))),f327(f327(f252(f916(x97581),f916(x97581)),x97585),x97583)),f159(x97581,f307(x97581,x97584))))
% 207.24/207.89 [9762]E(f327(f327(f135(x97621),x97622),f678(x97623,x97622,x97624,x97625,x97621)),x97625)+E(f327(f327(f135(x97621),f679(x97623,x97622,x97624,x97625,x97621)),x97623),x97624)+~E(f327(f327(f135(x97621),x97622),x97623),f327(f327(f135(x97621),x97625),x97624))
% 207.24/207.89 [9763]E(f327(f327(f135(x97631),x97632),f679(x97633,x97634,x97635,x97632,x97631)),x97634)+E(f327(f327(f135(x97631),f678(x97633,x97634,x97635,x97632,x97631)),x97635),x97633)+~E(f327(f327(f135(x97631),x97632),x97635),f327(f327(f135(x97631),x97634),x97633))
% 207.24/207.89 [9817]P1(f327(f327(f329(f921(x98171,x98171)),f327(f327(f252(x98171,x98171),x98172),x98173)),f327(f327(f289(x98171,x98171,x98171),x98174),f307(x98171,x98174))))+~P1(f327(f327(f329(f921(x98171,x98171)),f327(f327(f252(x98171,x98171),x98172),x98175)),f327(f327(f289(x98171,x98171,x98171),x98174),f307(x98171,x98174))))+~P1(f327(f327(f329(f921(x98171,x98171)),f327(f327(f252(x98171,x98171),x98175),x98173)),f327(f327(f289(x98171,x98171,x98171),x98174),f307(x98171,x98174))))
% 207.24/207.89 [9844]P32(x98441,x98442,x98443,x98444,x98445)+~E(f327(f191(f916(x98441)),x98444),f327(f191(f916(x98442)),x98445))+~P1(f327(f327(f257(x98441,x98442,a910),x98443),f695(x98445,x98444,x98443,x98442,x98441)))
% 207.24/207.89 [9845]P32(x98451,x98452,x98453,x98454,x98455)+~E(f327(f191(f916(x98451)),x98454),f327(f191(f916(x98452)),x98455))+~P1(f327(f327(f257(x98451,x98452,a910),x98453),f696(x98453,x98455,x98454,x98452,x98451)))
% 207.24/207.89 [9850]E(f327(f327(f135(x98501),f678(x98502,x98503,x98504,x98505,x98501)),x98504),x98502)+~E(f327(f327(f135(x98501),x98503),x98502),f327(f327(f135(x98501),x98505),x98504))+E(f327(f327(f135(x98501),f679(x98502,x98503,x98504,x98505,x98501)),x98502),x98504)
% 207.24/207.89 [9865]~P108(x98652)+E(f327(f327(f149(x98651,x98652,x98653),x98654),x98655),f327(f327(f152(x98651),x98654),x98655))+P1(f327(f327(f329(x98651),f740(x98654,x98653,x98655,x98651,x98652)),f327(f173(x98651),x98655)))
% 207.24/207.89 [9869]~P56(x98691,x98694,x98693,x98692)+~P1(f327(f327(f329(x98691),x98695),x98693))+P1(f327(f327(f329(x98691),f539(x98692,x98693,x98694,x98691,x98695)),x98692))
% 207.24/207.89 [9870]~P56(x98701,x98704,x98703,x98702)+~P1(f327(f327(f329(x98701),x98705),x98703))+P1(f327(f327(f329(x98701),f795(x98702,x98703,x98704,x98701,x98705)),x98702))
% 207.24/207.89 [9985]~P1(f327(f327(f329(f921(f922(x99851,a910),f922(x99851,a910))),f327(f327(f252(f922(x99851,a910),f922(x99851,a910)),x99854),x99853)),f319(x99851,x99852)))+~P1(f327(f327(f329(x99851),x99855),x99854))+P1(f327(f327(f329(x99851),f597(x99852,x99853,x99854,x99851,x99855)),x99853))
% 207.24/207.89 [9996]~P108(x99962)+E(f327(f327(f149(x99961,x99962,x99963),x99964),x99965),f327(f327(f152(x99961),x99964),x99965))+~P1(f327(f327(f234(x99962),f327(x99963,x99964)),f327(x99963,f740(x99964,x99963,x99965,x99961,x99962))))
% 207.24/207.89 [10045]~P23(x100453,x100454,x100455,f242(f922(x100453,a910)))+P1(f327(x100451,x100452))+~P1(f327(x100451,f327(f92(x100453,x100454,f242(f922(x100453,a910)),x100455),f808(x100452,x100451,x100455,x100454,x100453))))
% 207.24/207.89 [10192]P32(x101921,x101922,x101923,x101924,x101925)+~E(f327(f191(f916(x101921)),x101924),f327(f191(f916(x101922)),x101925))+~P1(f327(f327(x101923,f327(f327(f165(x101921),x101924),f697(x101925,x101924,x101923,x101922,x101921))),f327(f327(f165(x101922),x101925),f697(x101925,x101924,x101923,x101922,x101921))))
% 207.24/207.89 [10193]P32(x101931,x101932,x101933,x101934,x101935)+~E(f327(f191(f916(x101931)),x101934),f327(f191(f916(x101932)),x101935))+~P1(f327(f327(x101933,f327(f327(f165(x101931),x101934),f732(x101933,x101935,x101932,x101934,x101931))),f327(f327(f165(x101932),x101935),f732(x101933,x101935,x101932,x101934,x101931))))
% 207.24/207.89 [6755]~P15(x67552,x67555,x67551)+~P1(f327(f35(x67552),x67554))+E(f327(x67551,f327(f327(f309(x67552),x67553),x67554)),f327(f327(f64(x67552,x67552,x67555),x67553),x67554))
% 207.24/207.89 [6756]~E(x67563,x67564)+~E(x67562,x67565)+E(f327(f327(f309(x67561),x67562),f327(f327(f309(x67561),x67563),f190(f922(x67561,a910)))),f327(f327(f309(x67561),x67564),f327(f327(f309(x67561),x67565),f190(f922(x67561,a910)))))
% 207.24/207.89 [6766]P1(f327(x67662,x67665))+E(f178(x67661,x67662,f327(f327(f135(x67661),x67663),x67664)),f178(x67661,x67662,x67663))+~P1(f327(f327(f329(x67661),x67665),f327(f173(x67661),x67663)))
% 207.24/207.89 [6804]E(f327(x68041,x68042),f190(f922(x68043,a910)))+~E(f327(f327(f40(x68044,f922(x68043,a910)),x68045),x68041),f190(f922(x68043,a910)))+~P1(f327(f327(f329(x68044),x68042),x68045))
% 207.24/207.89 [6805]E(f327(x68051,x68052),f242(f922(x68053,a910)))+~E(f327(f327(f41(x68054,f922(x68053,a910)),x68055),x68051),f242(f922(x68053,a910)))+~P1(f327(f327(f329(x68054),x68052),x68055))
% 207.24/207.89 [7314]~E(x73142,x73144)+~P144(x73141)+E(f327(f327(f80(x73141),f327(f327(f81(x73141),x73142),x73143)),f327(f327(f81(x73141),x73144),x73145)),f327(f327(f80(x73141),f327(f327(f81(x73141),x73142),x73145)),f327(f327(f81(x73141),x73144),x73143)))
% 207.24/207.89 [7376]~P3(x73761)+~P1(f327(f327(f329(x73764),x73763),x73765))+P1(f327(f327(f234(x73761),f327(x73762,x73763)),f327(f327(f40(x73764,x73761),x73765),x73762)))
% 207.24/207.89 [7429]~P109(x74291)+P1(f327(f327(f234(x74291),f327(x74292,x74293)),f327(x74294,x74293)))+~P1(f327(f327(f234(f922(x74295,x74291)),x74292),x74294))
% 207.24/207.89 [7550]E(x75501,x75502)+E(x75503,x75501)+~E(f327(f327(f309(x75504),x75501),f327(f327(f309(x75504),x75505),f190(f922(x75504,a910)))),f327(f327(f309(x75504),x75502),f327(f327(f309(x75504),x75503),f190(f922(x75504,a910)))))
% 207.24/207.89 [7551]E(x75511,x75512)+E(x75513,x75511)+~E(f327(f327(f309(x75514),x75513),f327(f327(f309(x75514),x75512),f190(f922(x75514,a910)))),f327(f327(f309(x75514),x75515),f327(f327(f309(x75514),x75511),f190(f922(x75514,a910)))))
% 207.24/207.89 [7552]E(x75521,x75522)+E(x75521,x75523)+~E(f327(f327(f309(x75524),x75523),f327(f327(f309(x75524),x75522),f190(f922(x75524,a910)))),f327(f327(f309(x75524),x75525),f327(f327(f309(x75524),x75521),f190(f922(x75524,a910)))))
% 207.24/207.89 [7553]E(x75531,x75532)+E(x75531,x75533)+~E(f327(f327(f309(x75534),x75531),f327(f327(f309(x75534),x75535),f190(f922(x75534,a910)))),f327(f327(f309(x75534),x75532),f327(f327(f309(x75534),x75533),f190(f922(x75534,a910)))))
% 207.24/207.89 [8077]P23(x80771,x80772,x80773,x80774)+~P23(x80771,x80772,x80773,x80775)+~P1(f327(f327(f234(f922(x80771,a910)),x80774),x80775))
% 207.24/207.89 [8107]~E(f327(x81073,x81075),x81074)+~P23(x81071,x81072,x81073,f242(f922(x81071,a910)))+E(f327(f92(x81071,x81072,f242(f922(x81071,a910)),x81073),x81074),x81075)
% 207.24/207.89 [8253]E(x82531,x82532)+~E(f327(f310(x82533,x82534,x82535),x82531),f327(f310(x82533,x82534,x82535),x82532))+~P23(x82533,x82534,x82535,f327(f327(f102(f922(x82533,a910)),x82531),x82532))
% 207.24/207.89 [8330]P1(f327(x83302,x83304))+E(f327(f327(f139(x83301),f327(f191(f916(x83301)),f178(x83301,x83302,x83303))),x83303),f327(f327(f152(x83301),x83304),x83305))+~E(f327(f327(f135(x83301),f178(x83301,x83302,x83303)),f327(f327(f152(x83301),x83304),x83305)),x83303)
% 207.24/207.89 [8358]~P23(x83581,x83582,x83583,x83585)+~P23(x83581,x83582,x83583,x83584)+P23(x83581,x83582,x83583,f327(f327(f103(f922(x83581,a910)),x83584),x83585))
% 207.24/207.89 [8465]~P68(x84651)+E(f327(f327(f80(x84651),f327(x84652,x84653)),f327(f166(x84651),f327(f327(f155(x84654,x84651),x84652),f171(x84654,x84653,x84655)))),f327(f166(x84651),f327(f327(f155(x84654,x84651),x84652),x84655)))+~P1(f327(f327(f329(x84654),x84653),f327(f173(x84654),x84655)))
% 207.24/207.89 [8552]~P108(x85521)+~P11(x85521,f327(f327(f155(x85522,x85521),x85523),x85525))+P11(x85521,f327(f327(f155(x85522,x85521),x85523),f327(f327(f149(x85522,x85521,x85523),x85524),x85525)))
% 207.24/207.89 [8637]~P3(x86371)+P1(f327(f327(f234(x86371),f327(f327(f40(x86372,x86371),x86373),x86374)),f327(f327(f40(x86372,x86371),x86375),x86374)))+~P1(f327(f327(f234(f922(x86372,a910)),x86373),x86375))
% 207.24/207.89 [8638]~P3(x86381)+P1(f327(f327(f234(x86381),f327(f327(f41(x86382,x86381),x86383),x86384)),f327(f327(f41(x86382,x86381),x86385),x86384)))+~P1(f327(f327(f234(f922(x86382,a910)),x86385),x86383))
% 207.24/207.89 [8671]~P108(x86713)+P1(f327(f138(x86711),x86712))+~P1(f327(f138(x86711),f327(f327(f149(x86711,x86713,x86714),x86715),x86712)))
% 207.24/207.89 [8816]~P108(x88161)+~P1(f327(f327(f329(x88162),x88163),f327(f173(x88162),x88164)))+~P1(f327(f138(x88162),f327(f327(f149(x88162,x88161,x88165),x88163),x88164)))
% 207.24/207.89 [8906]~P108(x89061)+P11(x89061,f327(f327(f155(x89062,x89061),x89063),x89064))+~P11(x89061,f327(f327(f155(x89062,x89061),x89063),f327(f327(f149(x89062,x89061,x89063),x89065),x89064)))
% 207.24/207.89 [8952]~P23(x89522,x89521,x89524,x89523)+E(f327(f310(x89521,x89522,f92(x89522,x89521,x89523,x89524)),f327(f310(x89522,x89521,x89524),x89525)),x89525)+~P1(f327(f327(f234(f922(x89522,a910)),x89525),x89523))
% 207.24/207.89 [9005]~P108(x90052)+E(f327(f327(f149(x90051,x90052,x90053),x90054),x90055),f150(x90051,x90052,x90053,x90054,x90055))+P1(f327(f327(f329(x90052),f327(x90053,x90054)),f327(f310(x90051,x90052,x90053),f327(f173(x90051),x90055))))
% 207.24/207.89 [9086]~P108(x90862)+E(f150(x90861,x90862,x90863,x90864,x90865),x90865)+~P1(f327(f327(f329(x90862),f327(x90863,x90864)),f327(f310(x90861,x90862,x90863),f327(f173(x90861),x90865))))
% 207.24/207.89 [9102]~P23(x91022,x91021,x91023,x91025)+P1(f327(f327(f235(f922(x91021,a910)),f327(f310(x91022,x91021,x91023),x91024)),f327(f310(x91022,x91021,x91023),x91025)))+~P1(f327(f327(f235(f922(x91022,a910)),x91024),x91025))
% 207.24/207.89 [9261]~P23(x92611,x92612,x92613,f242(f922(x92611,a910)))+~P1(f327(f327(f234(f922(x92612,a910)),x92614),f327(f310(x92611,x92612,x92613),x92615)))+P1(f327(f327(f234(f922(x92611,a910)),f327(f311(x92611,x92612,x92613),x92614)),x92615))
% 207.24/207.89 [9284]~E(f327(f310(x92843,x92841,x92844),f242(f922(x92843,a910))),f242(f922(x92841,a910)))+P1(f327(f327(f234(f922(x92841,a910)),x92842),f327(f310(x92843,x92841,x92844),x92845)))+~P1(f327(f327(f234(f922(x92843,a910)),f327(f311(x92843,x92841,x92844),x92842)),x92845))
% 207.24/207.89 [9390]~P23(x93901,x93904,x93905,f242(f922(x93901,a910)))+~P1(f327(f327(f234(f922(x93904,a910)),f327(f310(x93901,x93904,x93905),x93902)),f327(f310(x93901,x93904,x93905),x93903)))+P1(f327(f327(f234(f922(x93901,a910)),x93902),x93903))
% 207.24/207.89 [9512]~P81(x95121)+~E(f327(x95123,f715(x95123,x95124,x95125,x95122,x95121)),f2(x95121))+E(f327(f166(x95121),f327(f327(f155(x95122,x95121),x95123),f327(f137(x95122,x95124),x95125))),f327(f166(x95121),f327(f327(f155(x95122,x95121),x95123),x95125)))
% 207.24/207.89 [9539]~P24(x95391,x95392,x95393,f242(f922(x95391,a910)),f242(f922(x95392,a910)))+~P1(f327(f327(f234(f922(x95392,a910)),x95394),f327(f310(x95391,x95392,x95393),x95395)))+P1(f327(f327(f234(f922(x95391,a910)),f327(f311(x95391,x95392,x95393),x95394)),x95395))
% 207.24/207.89 [9568]~P24(x95683,x95681,x95684,f242(f922(x95683,a910)),f242(f922(x95681,a910)))+P1(f327(f327(f234(f922(x95681,a910)),x95682),f327(f310(x95683,x95681,x95684),x95685)))+~P1(f327(f327(f234(f922(x95683,a910)),f327(f311(x95683,x95681,x95684),x95682)),x95685))
% 207.24/207.89 [9695]~P14(x96951,x96952,x96953)+~P1(f327(f35(x96951),x96955))+P1(f327(f66(x96951,x96952,x96953,x96954,x96955),f327(f327(f64(x96951,x96952,x96953),x96954),x96955)))
% 207.24/207.89 [9775]~P24(x97752,x97751,x97754,f242(f922(x97752,a910)),f242(f922(x97751,a910)))+~P24(x97751,x97753,x97755,f242(f922(x97751,a910)),f242(f922(x97753,a910)))+E(f327(f72(x97751,x97752,x97753,f92(x97752,x97751,f242(f922(x97752,a910)),x97754)),f92(x97751,x97753,f242(f922(x97751,a910)),x97755)),f92(x97752,x97753,f242(f922(x97752,a910)),f327(f72(x97751,x97753,x97752,x97755),x97754)))
% 207.24/207.89 [9776]P1(f327(x97761,f635(x97762,x97761,x97763,x97764,x97765)))+~P1(f327(f327(f234(f922(x97765,a910)),x97764),x97763))+P1(f327(f327(f234(f922(x97765,a910)),f327(f327(f103(f922(x97765,a910)),x97764),f327(f262(x97765),x97761))),f327(f327(f103(f922(x97765,a910)),x97763),f327(f262(x97765),x97762))))
% 207.24/207.89 [9790]~P81(x97901)+~P1(f327(x97904,f715(x97903,x97904,x97905,x97902,x97901)))+E(f327(f166(x97901),f327(f327(f155(x97902,x97901),x97903),f327(f137(x97902,x97904),x97905))),f327(f166(x97901),f327(f327(f155(x97902,x97901),x97903),x97905)))
% 207.24/207.89 [9867]~P3(x98675)+P1(f327(f327(f329(x98671),f355(x98672,x98673,x98671,x98674,x98675)),x98673))+P1(f327(f327(f234(x98675),x98674),f327(f327(f41(x98671,x98675),x98673),x98672)))
% 207.24/207.89 [9871]~P81(x98711)+E(f327(f166(x98711),f327(f327(f155(x98712,x98711),x98713),f327(f137(x98712,x98714),x98715))),f327(f166(x98711),f327(f327(f155(x98712,x98711),x98713),x98715)))+P1(f327(f327(f329(x98712),f715(x98713,x98714,x98715,x98712,x98711)),f327(f173(x98712),x98715)))
% 207.24/207.89 [9881]~P1(f327(x98815,f635(x98815,x98813,x98814,x98812,x98811)))+~P1(f327(f327(f234(f922(x98811,a910)),x98812),x98814))+P1(f327(f327(f234(f922(x98811,a910)),f327(f327(f103(f922(x98811,a910)),x98812),f327(f262(x98811),x98813))),f327(f327(f103(f922(x98811,a910)),x98814),f327(f262(x98811),x98815))))
% 207.24/207.89 [9897]~P23(x98975,x98973,x98974,f242(f922(x98975,a910)))+P1(f327(x98971,x98972))+P1(f327(f327(f329(x98973),f808(x98972,x98971,x98974,x98973,x98975)),f327(f310(x98975,x98973,x98974),f242(f922(x98975,a910)))))
% 207.24/207.89 [9921]P32(x99211,x99212,x99213,x99214,x99215)+~E(f327(f191(f916(x99212)),x99215),f327(f191(f916(x99211)),x99214))+P1(f327(f327(f235(a915),f697(x99215,x99214,x99213,x99212,x99211)),f327(f191(f916(x99211)),x99214)))
% 207.24/207.89 [9922]P32(x99221,x99222,x99223,x99224,x99225)+~E(f327(f191(f916(x99222)),x99225),f327(f191(f916(x99221)),x99224))+P1(f327(f327(f235(a915),f732(x99223,x99225,x99222,x99224,x99221)),f327(f191(f916(x99221)),x99224)))
% 207.24/207.89 [9953]P1(f327(f327(f329(x99531),f635(x99532,x99533,x99534,x99535,x99531)),x99535))+~P1(f327(f327(f234(f922(x99531,a910)),x99535),x99534))+P1(f327(f327(f234(f922(x99531,a910)),f327(f327(f103(f922(x99531,a910)),x99535),f327(f262(x99531),x99533))),f327(f327(f103(f922(x99531,a910)),x99534),f327(f262(x99531),x99532))))
% 207.24/207.89 [9997]~P3(x99971)+~P1(f327(f327(f234(x99971),x99972),f327(x99975,f355(x99975,x99974,x99973,x99972,x99971))))+P1(f327(f327(f234(x99971),x99972),f327(f327(f41(x99973,x99971),x99974),x99975)))
% 207.24/207.89 [10034]~P75(x100341)+~P1(f327(f35(x100342),x100345))+E(f327(f327(f327(f65(x100341,x100342,f81(x100341)),f327(f327(f18(x100342,x100341,x100341),f327(f327(f8(x100341,f922(x100341,x100341),x100342),f81(x100341)),x100343)),x100344)),f78(x100341)),x100345),f327(f327(f81(x100341),f327(f327(f327(f65(x100341,x100342,f81(x100341)),x100343),f78(x100341)),x100345)),f327(f327(f327(f65(x100341,x100342,f81(x100341)),x100344),f78(x100341)),x100345)))
% 207.24/207.89 [10089]~P1(f327(f327(f329(f921(f922(x100891,a910),f922(x100891,a910))),f327(f327(f252(f922(x100891,a910),f922(x100891,a910)),x100895),x100894)),f319(x100891,x100893)))+~P1(f327(f327(f329(x100891),x100892),x100895))+P1(f327(f327(f329(f921(x100891,x100891)),f327(f327(f252(x100891,x100891),x100892),f597(x100893,x100894,x100895,x100891,x100892))),x100893))
% 207.24/207.89 [10229]~P1(f327(f327(f329(f921(f916(x102291),f916(x102291))),f327(f327(f252(f916(x102291),f916(x102291)),f327(f327(f135(x102291),x102295),x102292)),f327(f327(f135(x102291),x102295),x102293))),f148(x102291,x102294)))+P1(f327(f327(f329(f921(f916(x102291),f916(x102291))),f327(f327(f252(f916(x102291),f916(x102291)),x102292),x102293)),f148(x102291,x102294)))+P1(f327(f327(f329(f921(x102291,x102291)),f327(f327(f252(x102291,x102291),f684(x102294,x102293,x102292,x102295,x102291)),f684(x102294,x102293,x102292,x102295,x102291))),x102294))
% 207.24/207.89 [7432]~E(x74323,x74325)+E(f327(f327(f165(x74321),f327(f327(f160(x74321,x74322),x74323),x74324)),x74325),x74324)+~P1(f327(f327(f235(a915),x74323),f327(f191(f916(x74321)),x74322)))
% 207.24/207.89 [7547]~E(f327(f327(f135(x75471),x75472),x75474),f327(f327(f135(x75471),x75473),x75475))+E(f327(f327(f176(x75471),f327(f191(f916(x75471)),x75472)),x75473),x75472)+P1(f327(f327(f234(a915),f327(f191(f916(x75471)),x75473)),f327(f191(f916(x75471)),x75472)))
% 207.24/207.89 [8038]~E(f327(f327(f135(x80381),x80382),x80384),f327(f327(f135(x80381),x80383),x80385))+E(f327(f327(f176(x80381),f327(f191(f916(x80381)),x80382)),x80383),x80382)+~P1(f327(f327(f234(a915),f327(f191(f916(x80381)),x80382)),f327(f191(f916(x80381)),x80383)))
% 207.24/207.89 [8062]~P1(f327(f35(x80621),f327(x80624,x80625)))+~P1(f327(f327(f329(x80622),x80625),x80623))+P1(f327(f35(x80621),f327(f327(f41(x80622,f922(x80621,a910)),x80623),x80624)))
% 207.24/207.89 [8237]~P50(x82371,x82373,x82375)+~P50(x82371,x82372,x82374)+P50(x82371,f327(f327(f102(f922(x82371,a910)),x82372),x82373),f327(f327(f102(f922(f921(x82371,x82371),a910)),x82374),x82375))
% 207.24/207.89 [8238]~P50(x82381,x82383,x82385)+~P50(x82381,x82382,x82384)+P50(x82381,f327(f327(f103(f922(x82381,a910)),x82382),x82383),f327(f327(f103(f922(f921(x82381,x82381),a910)),x82384),x82385))
% 207.24/207.89 [8592]E(f327(f327(f252(x85921,x85922),f327(f327(f165(x85921),x85923),x85924)),f327(f327(f165(x85922),x85925),x85924)),f327(f327(f165(f921(x85921,x85922)),f327(f327(f182(x85921,x85922),x85923),x85925)),x85924))+~P1(f327(f327(f235(a915),x85924),f327(f191(f916(x85921)),x85923)))+~P1(f327(f327(f235(a915),x85924),f327(f191(f916(x85922)),x85925)))
% 207.24/207.89 [8745]~P50(x87451,x87453,x87454)+P1(f327(f327(f329(x87451),x87452),x87453))+~P1(f327(f327(f329(f921(x87451,x87451)),f327(f327(f252(x87451,x87451),x87455),x87452)),x87454))
% 207.24/207.89 [8746]~P50(x87461,x87463,x87464)+P1(f327(f327(f329(x87461),x87462),x87463))+~P1(f327(f327(f329(f921(x87461,x87461)),f327(f327(f252(x87461,x87461),x87462),x87465)),x87464))
% 207.24/207.89 [8747]~P6(x87471,x87473,x87474)+P1(f327(f327(f329(x87471),x87472),x87473))+~P1(f327(f327(f329(f921(x87471,x87471)),f327(f327(f252(x87471,x87471),x87475),x87472)),x87474))
% 207.24/207.89 [8748]~P6(x87481,x87483,x87484)+P1(f327(f327(f329(x87481),x87482),x87483))+~P1(f327(f327(f329(f921(x87481,x87481)),f327(f327(f252(x87481,x87481),x87482),x87485)),x87484))
% 207.24/207.89 [9029]~P6(x90291,x90295,x90292)+E(f327(f285(x90291,x90291,x90292),f327(f327(f309(x90291),x90293),f190(f922(x90291,a910)))),f327(f285(x90291,x90291,x90292),f327(f327(f309(x90291),x90294),f190(f922(x90291,a910)))))+~P1(f327(f327(f329(f921(x90291,x90291)),f327(f327(f252(x90291,x90291),x90293),x90294)),x90292))
% 207.24/207.89 [9217]P1(f327(x92171,x92172))+~P1(f327(f327(f329(x92173),x92172),x92175))+P1(f327(f327(f329(x92173),f876(x92171,x92174,x92175,x92173)),f327(f327(f102(f922(x92173,a910)),x92175),x92174)))
% 207.24/207.89 [9218]P1(f327(x92181,x92182))+~P1(f327(f327(f329(x92183),x92182),x92184))+P1(f327(f327(f329(x92183),f876(x92181,x92184,x92185,x92183)),f327(f327(f102(f922(x92183,a910)),x92185),x92184)))
% 207.24/207.89 [9226]~P1(f327(x92262,x92265))+~P1(f327(f327(f329(x92261),x92265),x92264))+P1(f327(f327(f329(x92261),f861(x92262,x92263,x92264,x92261)),f327(f327(f102(f922(x92261,a910)),x92264),x92263)))
% 207.24/207.89 [9227]~P1(f327(x92272,x92275))+~P1(f327(f327(f329(x92271),x92275),x92273))+P1(f327(f327(f329(x92271),f861(x92272,x92273,x92274,x92271)),f327(f327(f102(f922(x92271,a910)),x92274),x92273)))
% 207.24/207.89 [9242]~P1(f327(f327(f234(f922(x92421,a910)),x92425),x92423))+~P1(f327(f327(f234(f922(x92421,a910)),x92422),x92424))+P1(f327(f327(f234(f922(x92421,a910)),f327(f327(f23(f922(x92421,a910)),x92422),x92423)),f327(f327(f23(f922(x92421,a910)),x92424),x92425)))
% 207.24/207.89 [9243]~P1(f327(f327(f234(f922(x92431,a910)),x92433),x92435))+~P1(f327(f327(f234(f922(x92431,a910)),x92432),x92434))+P1(f327(f327(f234(f922(x92431,a910)),f327(f327(f102(f922(x92431,a910)),x92432),x92433)),f327(f327(f102(f922(x92431,a910)),x92434),x92435)))
% 207.24/207.89 [9244]~P1(f327(f327(f234(f922(x92441,a910)),x92443),x92445))+~P1(f327(f327(f234(f922(x92441,a910)),x92442),x92444))+P1(f327(f327(f234(f922(x92441,a910)),f327(f327(f103(f922(x92441,a910)),x92442),x92443)),f327(f327(f103(f922(x92441,a910)),x92444),x92445)))
% 207.24/207.89 [9338]P1(f327(f327(f329(f921(x93381,x93381)),f327(f327(f252(x93381,x93381),x93382),x93383)),f321(x93381,x93384,x93385)))+~P1(f327(f327(f234(a915),f327(x93384,x93382)),f327(x93384,x93383)))+~P1(f327(f327(f329(f921(x93381,x93381)),f327(f327(f252(x93381,x93381),x93382),x93383)),x93385))
% 207.24/207.89 [9522]P1(f327(f327(f329(f921(x95221,x95221)),f327(f327(f252(x95221,x95221),x95222),x95223)),f307(x95221,x95224)))+~P1(f327(f327(f329(f921(x95221,x95221)),f327(f327(f252(x95221,x95221),x95222),x95225)),f307(x95221,x95224)))+~P1(f327(f327(f329(f921(x95221,x95221)),f327(f327(f252(x95221,x95221),x95225),x95223)),x95224))
% 207.24/207.89 [9523]P1(f327(f327(f329(f921(x95231,x95231)),f327(f327(f252(x95231,x95231),x95232),x95233)),f307(x95231,x95234)))+~P1(f327(f327(f329(f921(x95231,x95231)),f327(f327(f252(x95231,x95231),x95235),x95233)),f307(x95231,x95234)))+~P1(f327(f327(f329(f921(x95231,x95231)),f327(f327(f252(x95231,x95231),x95232),x95235)),x95234))
% 207.24/207.89 [9623]E(x96231,x96232)+E(f327(a113,f612(x96233,x96234,x96231,x96232,x96235)),x96234)+~P1(f327(f327(f329(f921(x96235,x96235)),f327(f327(f252(x96235,x96235),x96232),x96231)),f327(f327(f184(f921(x96235,x96235),a910),x96234),x96233)))
% 207.24/207.89 [9624]E(x96241,x96242)+E(f327(a113,f615(x96243,x96244,x96241,x96242,x96245)),x96244)+~P1(f327(f327(f329(f921(x96245,x96245)),f327(f327(f252(x96245,x96245),x96242),x96241)),f327(f327(f184(f921(x96245,x96245),a910),x96244),x96243)))
% 207.24/207.89 [9625]E(x96251,f2(a915))+E(f327(a113,f612(x96252,x96251,x96253,x96254,x96255)),x96251)+~P1(f327(f327(f329(f921(x96255,x96255)),f327(f327(f252(x96255,x96255),x96254),x96253)),f327(f327(f184(f921(x96255,x96255),a910),x96251),x96252)))
% 207.24/207.89 [9626]E(x96261,f2(a915))+E(f327(a113,f615(x96262,x96261,x96263,x96264,x96265)),x96261)+~P1(f327(f327(f329(f921(x96265,x96265)),f327(f327(f252(x96265,x96265),x96264),x96263)),f327(f327(f184(f921(x96265,x96265),a910),x96261),x96262)))
% 207.24/207.89 [9647]P1(f327(f327(f329(f921(x96471,x96471)),f327(f327(f252(x96471,x96471),x96472),x96473)),f327(f327(f289(x96471,x96471,x96471),x96474),f307(x96471,x96474))))+~P1(f327(f327(f329(f921(x96471,x96471)),f327(f327(f252(x96471,x96471),x96472),x96475)),x96474))+~P1(f327(f327(f329(f921(x96471,x96471)),f327(f327(f252(x96471,x96471),x96475),x96473)),x96474))
% 207.24/207.89 [9654]~P1(f327(f327(f329(f921(x96541,x96541)),f327(f327(f252(x96541,x96541),x96542),x96545)),f307(x96541,x96544)))+P1(f327(f327(f329(f921(x96541,x96541)),f327(f327(f252(x96541,x96541),x96542),x96543)),f327(f327(f289(x96541,x96541,x96541),x96544),f307(x96541,x96544))))+~P1(f327(f327(f329(f921(x96541,x96541)),f327(f327(f252(x96541,x96541),x96545),x96543)),x96544))
% 207.24/207.89 [9689]~P6(x96891,x96895,x96892)+~P1(f327(f327(f329(f921(x96891,x96891)),f327(f327(f252(x96891,x96891),x96893),x96894)),x96892))+P1(f327(f327(f234(f922(x96891,a910)),f327(f285(x96891,x96891,x96892),f327(f327(f309(x96891),x96893),f190(f922(x96891,a910))))),f327(f285(x96891,x96891,x96892),f327(f327(f309(x96891),x96894),f190(f922(x96891,a910))))))
% 207.24/207.89 [9748]P1(f327(f327(f329(f921(x97481,x97481)),f327(f327(f252(x97481,x97481),x97482),x97483)),f327(f327(f289(x97481,x97481,x97481),x97484),f307(x97481,x97484))))+~P1(f327(f327(f329(f921(x97481,x97481)),f327(f327(f252(x97481,x97481),x97482),x97485)),f327(f327(f289(x97481,x97481,x97481),x97484),f307(x97481,x97484))))+~P1(f327(f327(f329(f921(x97481,x97481)),f327(f327(f252(x97481,x97481),x97485),x97483)),x97484))
% 207.24/207.89 [9749]P1(f327(f327(f329(f921(x97491,x97491)),f327(f327(f252(x97491,x97491),x97492),x97493)),f327(f327(f289(x97491,x97491,x97491),x97494),f307(x97491,x97494))))+~P1(f327(f327(f329(f921(x97491,x97491)),f327(f327(f252(x97491,x97491),x97495),x97493)),f327(f327(f289(x97491,x97491,x97491),x97494),f307(x97491,x97494))))+~P1(f327(f327(f329(f921(x97491,x97491)),f327(f327(f252(x97491,x97491),x97492),x97495)),x97494))
% 207.24/207.89 [9799]~P1(f327(f66(x97991,x97991,x97994,x97992,x97993),x97995))+P1(f327(f327(f329(x97991),x97992),x97993))+P1(f327(f62(x97991,x97994,f327(f327(f309(x97991),x97992),x97993)),x97995))
% 207.24/207.89 [9837]~E(f327(f310(x98373,x98372,x98375),x98374),x98371)+E(x98371,f190(f922(x98372,a910)))+P1(f327(f327(f234(f922(x98373,a910)),f327(f310(x98372,x98373,f500(x98374,x98373,x98372,x98371)),x98371)),x98374))
% 207.24/207.89 [9884]~P3(x98845)+P1(f327(f327(f329(x98841),f345(x98842,x98843,x98844,x98841,x98845)),x98844))+P1(f327(f327(f234(x98845),f327(f327(f40(x98841,x98845),x98844),x98843)),x98842))
% 207.24/207.89 [9940]P32(x99401,x99402,x99403,x99404,x99405)+~E(f327(f191(f916(x99401)),x99404),f327(f191(f916(x99402)),x99405))+P1(f327(f327(f329(f921(x99401,x99402)),f695(x99405,x99404,x99403,x99402,x99401)),f327(f173(f921(x99401,x99402)),f327(f327(f182(x99401,x99402),x99404),x99405))))
% 207.24/207.89 [9941]P32(x99411,x99412,x99413,x99414,x99415)+~E(f327(f191(f916(x99411)),x99414),f327(f191(f916(x99412)),x99415))+P1(f327(f327(f329(f921(x99411,x99412)),f696(x99413,x99415,x99414,x99412,x99411)),f327(f173(f921(x99411,x99412)),f327(f327(f182(x99411,x99412),x99414),x99415))))
% 207.24/207.89 [10068]E(x100681,x100682)+P1(f327(f327(f329(f921(x100683,x100683)),f327(f327(f252(x100683,x100683),x100681),f613(x100684,x100685,x100682,x100681,x100683))),x100684))+~P1(f327(f327(f329(f921(x100683,x100683)),f327(f327(f252(x100683,x100683),x100681),x100682)),f327(f327(f184(f921(x100683,x100683),a910),x100685),x100684)))
% 207.24/207.89 [10069]E(x100691,f2(a915))+P1(f327(f327(f329(f921(x100692,x100692)),f327(f327(f252(x100692,x100692),x100693),f613(x100694,x100691,x100695,x100693,x100692))),x100694))+~P1(f327(f327(f329(f921(x100692,x100692)),f327(f327(f252(x100692,x100692),x100693),x100695)),f327(f327(f184(f921(x100692,x100692),a910),x100691),x100694)))
% 207.24/207.89 [10109]~P3(x101091)+~P1(f327(f327(f234(x101091),f327(x101094,f345(x101095,x101094,x101093,x101092,x101091))),x101095))+P1(f327(f327(f234(x101091),f327(f327(f40(x101092,x101091),x101093),x101094)),x101095))
% 207.24/207.89 [10161]E(x101611,x101612)+P1(f327(f327(f329(f921(x101613,x101613)),f327(f327(f252(x101613,x101613),f616(x101614,x101615,x101611,x101612,x101613)),x101611)),x101614))+~P1(f327(f327(f329(f921(x101613,x101613)),f327(f327(f252(x101613,x101613),x101612),x101611)),f327(f327(f184(f921(x101613,x101613),a910),x101615),x101614)))
% 207.24/207.89 [10162]E(x101621,f2(a915))+P1(f327(f327(f329(f921(x101622,x101622)),f327(f327(f252(x101622,x101622),f616(x101623,x101621,x101624,x101625,x101622)),x101624)),x101623))+~P1(f327(f327(f329(f921(x101622,x101622)),f327(f327(f252(x101622,x101622),x101625),x101624)),f327(f327(f184(f921(x101622,x101622),a910),x101621),x101623)))
% 207.24/207.89 [10166]E(x101661,x101662)+P1(f327(f327(f329(f921(x101663,x101663)),f327(f327(f252(x101663,x101663),x101661),f616(x101664,x101665,x101662,x101661,x101663))),f327(f327(f184(f921(x101663,x101663),a910),f615(x101664,x101665,x101662,x101661,x101663)),x101664)))+~P1(f327(f327(f329(f921(x101663,x101663)),f327(f327(f252(x101663,x101663),x101661),x101662)),f327(f327(f184(f921(x101663,x101663),a910),x101665),x101664)))
% 207.24/207.89 [10167]E(x101671,f2(a915))+P1(f327(f327(f329(f921(x101672,x101672)),f327(f327(f252(x101672,x101672),x101673),f616(x101674,x101671,x101675,x101673,x101672))),f327(f327(f184(f921(x101672,x101672),a910),f615(x101674,x101671,x101675,x101673,x101672)),x101674)))+~P1(f327(f327(f329(f921(x101672,x101672)),f327(f327(f252(x101672,x101672),x101673),x101675)),f327(f327(f184(f921(x101672,x101672),a910),x101671),x101674)))
% 207.24/207.89 [10220]E(x102201,x102202)+P1(f327(f327(f329(f921(x102203,x102203)),f327(f327(f252(x102203,x102203),f613(x102204,x102205,x102201,x102202,x102203)),x102201)),f327(f327(f184(f921(x102203,x102203),a910),f612(x102204,x102205,x102201,x102202,x102203)),x102204)))+~P1(f327(f327(f329(f921(x102203,x102203)),f327(f327(f252(x102203,x102203),x102202),x102201)),f327(f327(f184(f921(x102203,x102203),a910),x102205),x102204)))
% 207.24/207.89 [10221]E(x102211,f2(a915))+P1(f327(f327(f329(f921(x102212,x102212)),f327(f327(f252(x102212,x102212),f613(x102213,x102211,x102214,x102215,x102212)),x102214)),f327(f327(f184(f921(x102212,x102212),a910),f612(x102213,x102211,x102214,x102215,x102212)),x102213)))+~P1(f327(f327(f329(f921(x102212,x102212)),f327(f327(f252(x102212,x102212),x102215),x102214)),f327(f327(f184(f921(x102212,x102212),a910),x102211),x102213)))
% 207.24/207.89 [10256]~P68(x102562)+~P1(f327(f35(x102561),x102565))+E(f327(f327(f6(x102561,x102562),f327(f327(f7(x102561,x102562,x102562),f327(f327(f18(x102561,x102562,f922(x102562,x102562)),f327(f327(f8(a910,f922(x102562,f922(x102562,x102562)),x102561),f97(x102562)),f327(f327(f7(x102561,f922(x102561,a910),a910),f329(x102561)),x102563))),x102564)),f2(x102562))),x102565),f327(f327(f6(x102561,x102562),x102564),f327(f327(f103(f922(x102561,a910)),x102565),x102563)))
% 207.24/207.89 [8813]~P68(x88131)+~P1(f327(f35(x88134),x88135))+E(f327(f327(f80(x88131),f327(x88132,x88133)),f327(f327(f6(x88134,x88131),x88132),f327(f327(f23(f922(x88134,a910)),x88135),f327(f327(f309(x88134),x88133),f190(f922(x88134,a910)))))),f327(f327(f6(x88134,x88131),x88132),f327(f327(f309(x88134),x88133),x88135)))
% 207.24/207.89 [8814]~P75(x88141)+~P1(f327(f35(x88144),x88145))+E(f327(f327(f81(x88141),f327(x88142,x88143)),f327(f327(f9(x88144,x88141),x88142),f327(f327(f23(f922(x88144,a910)),x88145),f327(f327(f309(x88144),x88143),f190(f922(x88144,a910)))))),f327(f327(f9(x88144,x88141),x88142),f327(f327(f309(x88144),x88143),x88145)))
% 207.24/207.89 [9150]~P108(x91502)+~P11(x91502,f327(f169(x91502),f327(f327(f155(x91501,x91502),x91504),x91505)))+E(f327(f137(x91501,f327(f327(f8(x91502,a910,x91501),f327(f235(x91502),x91503)),x91504)),x91505),f178(x91501,f327(f327(f8(x91502,a910,x91501),f327(f235(x91502),x91503)),x91504),x91505))
% 207.24/207.89 [9174]~P68(x91741)+E(f327(f327(f80(x91741),f327(f327(f6(a915,x91741),x91742),f303(a915,x91743,x91744))),f327(f327(f6(a915,x91741),x91742),f303(a915,f327(f327(f80(a915),x91744),f78(a915)),f327(f327(f80(a915),x91744),x91745)))),f327(f327(f6(a915,x91741),x91742),f303(a915,x91743,f327(f327(f80(a915),x91744),x91745))))+~P1(f327(f327(f234(a915),x91743),f327(f327(f80(a915),x91744),f78(a915))))
% 207.24/207.89 [9175]~P1(f327(f327(f329(x91751),x91754),x91755))+~P1(f327(f327(f234(f922(x91751,a910)),f327(f173(x91751),x91752)),x91755))+P1(f327(f327(f234(f922(x91751,a910)),f327(f173(x91751),f327(f327(f160(x91751,x91752),x91753),x91754))),x91755))
% 207.24/207.89 [9398]~P3(x93982)+~P1(f327(f35(x93981),x93985))+E(f327(f327(f64(x93981,x93982,f327(f327(f8(x93982,f922(x93982,x93982),x93981),f102(x93982)),x93983)),x93984),x93985),f327(f327(f102(x93982),x93984),f327(f327(f40(x93981,x93982),x93985),x93983)))
% 207.24/207.89 [9399]~P3(x93992)+~P1(f327(f35(x93991),x93995))+E(f327(f327(f64(x93991,x93992,f327(f327(f8(x93992,f922(x93992,x93992),x93991),f103(x93992)),x93993)),x93994),x93995),f327(f327(f103(x93992),x93994),f327(f327(f41(x93991,x93992),x93995),x93993)))
% 207.24/207.89 [9447]E(f327(x94471,x94472),f327(x94471,x94473))+P1(f327(f327(f235(a915),f327(x94471,x94472)),f327(x94471,x94473)))+~P1(f327(f327(f329(f921(x94474,x94474)),f327(f327(f252(x94474,x94474),x94472),x94473)),f154(x94474,f327(f327(f152(f922(x94474,a915)),x94471),x94475))))
% 207.24/207.89 [9480]~E(f327(x94804,x94802),f327(x94804,x94803))+~P1(f327(f327(f329(f921(x94801,x94801)),f327(f327(f252(x94801,x94801),x94802),x94803)),f154(x94801,x94805)))+P1(f327(f327(f329(f921(x94801,x94801)),f327(f327(f252(x94801,x94801),x94802),x94803)),f154(x94801,f327(f327(f152(f922(x94801,a915)),x94804),x94805))))
% 207.24/207.89 [9500]~P23(x95001,x95002,x95003,x95005)+P23(x95001,x95002,x95003,f327(f327(f309(x95001),x95004),x95005))+P1(f327(f327(f329(x95002),f327(x95003,x95004)),f327(f310(x95001,x95002,x95003),f327(f327(f23(f922(x95001,a910)),x95005),f327(f327(f309(x95001),x95004),f190(f922(x95001,a910)))))))
% 207.24/207.89 [9503]P1(f327(x95032,x95035))+~P1(f327(f327(f329(x95031),x95035),f327(f173(x95031),x95033)))+E(f327(f327(f139(x95031),f327(f191(f916(x95031)),f178(x95031,x95032,f327(f327(f135(x95031),x95033),x95034)))),f327(f327(f135(x95031),x95033),x95034)),f327(f327(f135(x95031),f327(f327(f139(x95031),f327(f191(f916(x95031)),f178(x95031,x95032,x95033))),x95033)),x95034))
% 207.24/207.89 [9508]~P1(f327(f327(f329(f921(x95081,x95081)),f327(f327(f252(x95081,x95081),x95082),x95083)),f154(x95081,x95085)))+~P1(f327(f327(f234(a915),f327(x95084,x95082)),f327(x95084,x95083)))+P1(f327(f327(f329(f921(x95081,x95081)),f327(f327(f252(x95081,x95081),x95082),x95083)),f154(x95081,f327(f327(f152(f922(x95081,a915)),x95084),x95085))))
% 207.24/207.89 [9575]P1(f327(f327(f329(f921(x95754,x95754)),f327(f327(f252(x95754,x95754),x95752),x95753)),f154(x95754,x95755)))+P1(f327(f327(f235(a915),f327(x95751,x95752)),f327(x95751,x95753)))+~P1(f327(f327(f329(f921(x95754,x95754)),f327(f327(f252(x95754,x95754),x95752),x95753)),f154(x95754,f327(f327(f152(f922(x95754,a915)),x95751),x95755))))
% 207.24/207.89 [9720]~P1(f327(f327(f329(f921(f916(x97201),f916(x97201))),f327(f327(f252(f916(x97201),f916(x97201)),x97202),x97204)),f159(x97201,x97205)))+~P1(f327(f327(f235(a915),x97203),f327(f191(f916(x97201)),x97202)))+P1(f327(f327(f329(f921(x97201,x97201)),f327(f327(f252(x97201,x97201),f327(f327(f165(x97201),x97202),x97203)),f327(f327(f165(x97201),x97204),x97203))),x97205))
% 207.24/207.89 [9963]E(x99631,f2(a1))+~P1(f327(f50(x99633,x99631),f327(f327(f252(a1,a1),x99634),x99635)))+P1(f327(f50(f327(f327(f81(a1),x99632),x99633),x99631),f327(f327(f252(a1,a1),f327(f327(f80(a1),f327(f327(f81(a1),x99632),x99634)),f327(f327(f37(a1),f327(f327(f81(a1),x99632),x99635)),x99631))),f46(a1,f327(f327(f81(a1),x99632),x99635),x99631))))
% 207.24/207.89 [9964]~P1(f327(f327(f235(a915),f2(a915)),x99643))+~P1(f327(f49(x99642,x99643),f327(f327(f252(a915,a915),x99644),x99645)))+P1(f327(f49(f327(f327(f81(a915),x99641),x99642),x99643),f327(f327(f252(a915,a915),f327(f327(f80(a915),f327(f327(f81(a915),x99641),x99644)),f327(f327(f37(a915),f327(f327(f81(a915),x99641),x99645)),x99643))),f46(a915,f327(f327(f81(a915),x99641),x99645),x99643))))
% 207.24/207.89 [10279]~P68(x102792)+~P1(f327(f35(x102791),x102794))+E(f327(f327(f6(x102791,x102792),x102793),f327(f262(x102791),f327(f327(f18(x102791,a910,a910),f327(f327(f8(a910,f922(a910,a910),x102791),a325),f327(f327(f7(x102791,f922(x102791,a910),a910),f329(x102791)),x102794))),f327(f327(f7(x102791,f922(x102791,a910),a910),f329(x102791)),x102795)))),f327(f327(f6(x102791,x102792),f327(f327(f7(x102791,x102792,x102792),f327(f327(f18(x102791,x102792,f922(x102792,x102792)),f327(f327(f8(a910,f922(x102792,f922(x102792,x102792)),x102791),f97(x102792)),f327(f327(f7(x102791,f922(x102791,a910),a910),f329(x102791)),x102795))),x102793)),f2(x102792))),x102794))
% 207.24/207.89 [8444]~E(f327(f327(f135(x84441),x84442),x84445),f327(f327(f135(x84441),x84443),x84444))+E(f327(f327(f135(x84441),f327(f327(f139(x84441),f327(f191(f916(x84441)),x84442)),x84443)),x84444),x84445)+P1(f327(f327(f234(a915),f327(f191(f916(x84441)),x84443)),f327(f191(f916(x84441)),x84442)))
% 207.24/207.89 [8640]~E(f327(f327(f135(x86402),x86403),x86401),f327(f327(f135(x86402),x86404),x86405))+E(x86401,f327(f327(f135(x86402),f327(f327(f139(x86402),f327(f191(f916(x86402)),x86403)),x86404)),x86405))+~P1(f327(f327(f234(a915),f327(f191(f916(x86402)),x86403)),f327(f191(f916(x86402)),x86404)))
% 207.24/207.89 [8728]~E(f327(f327(f80(a915),f327(f327(f81(a915),x87283),x87284)),x87281),f327(f327(f80(a915),f327(f327(f81(a915),x87282),x87284)),x87285))+~P1(f327(f327(f234(a915),x87283),x87282))+E(x87281,f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x87282),x87283)),x87284)),x87285))
% 207.24/207.89 [8729]~E(f327(f327(f80(a915),f327(f327(f81(a915),x87291),x87293)),x87294),f327(f327(f80(a915),f327(f327(f81(a915),x87292),x87293)),x87295))+~P1(f327(f327(f234(a915),x87292),x87291))+E(f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x87291),x87292)),x87293)),x87294),x87295)
% 207.24/207.89 [8897]E(f327(f327(f80(a915),f327(f327(f81(a915),x88971),x88972)),x88973),f327(f327(f80(a915),f327(f327(f81(a915),x88974),x88972)),x88975))+~P1(f327(f327(f234(a915),x88974),x88971))+~E(x88975,f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x88971),x88974)),x88972)),x88973))
% 207.24/207.89 [8898]E(f327(f327(f80(a915),f327(f327(f81(a915),x88981),x88982)),x88983),f327(f327(f80(a915),f327(f327(f81(a915),x88984),x88982)),x88985))+~P1(f327(f327(f234(a915),x88984),x88981))+~E(f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x88981),x88984)),x88982)),x88983),x88985)
% 207.24/207.89 [9774]~P61(x97742)+~P1(f327(f35(x97741),x97745))+E(f327(f327(f9(x97741,x97742),f327(f327(f18(x97741,x97742,x97742),f327(f327(f8(x97742,f922(x97742,x97742),x97741),f291(x97742)),x97743)),x97744)),x97745),f327(f327(f291(x97742),f327(f327(f9(x97741,x97742),x97743),x97745)),f327(f327(f9(x97741,x97742),x97744),x97745)))
% 207.24/207.89 [9904]~E(f619(x99045,x99044,x99043,x99042,x99041),f620(x99045,x99044,x99043,x99042,x99041))+P1(f327(f327(f329(f921(x99041,x99041)),f327(f327(f252(x99041,x99041),x99042),x99043)),f307(x99041,x99044)))+~P1(f327(f327(f329(f921(x99041,x99041)),f327(f327(f252(x99041,x99041),x99042),x99043)),f307(x99041,f327(f327(f102(f922(f921(x99041,x99041),a910)),x99044),x99045))))
% 207.24/207.89 [9905]~E(f621(x99055,x99054,x99053,x99052,x99051),f622(x99055,x99054,x99053,x99052,x99051))+P1(f327(f327(f329(f921(x99051,x99051)),f327(f327(f252(x99051,x99051),x99052),x99053)),f307(x99051,x99054)))+~P1(f327(f327(f329(f921(x99051,x99051)),f327(f327(f252(x99051,x99051),x99052),x99053)),f307(x99051,f327(f327(f102(f922(f921(x99051,x99051),a910)),x99054),x99055))))
% 207.24/207.89 [10099]P1(f327(f327(f329(f921(x100991,x100991)),f327(f327(f252(x100991,x100991),x100992),f622(x100995,x100994,x100993,x100992,x100991))),f307(x100991,x100994)))+P1(f327(f327(f329(f921(x100991,x100991)),f327(f327(f252(x100991,x100991),x100992),x100993)),f307(x100991,x100994)))+~P1(f327(f327(f329(f921(x100991,x100991)),f327(f327(f252(x100991,x100991),x100992),x100993)),f307(x100991,f327(f327(f102(f922(f921(x100991,x100991),a910)),x100994),x100995))))
% 207.24/207.89 [10188]P1(f327(f327(f329(f921(x101881,x101881)),f327(f327(f252(x101881,x101881),f620(x101885,x101884,x101883,x101882,x101881)),x101883)),f307(x101881,x101884)))+P1(f327(f327(f329(f921(x101881,x101881)),f327(f327(f252(x101881,x101881),x101882),x101883)),f307(x101881,x101884)))+~P1(f327(f327(f329(f921(x101881,x101881)),f327(f327(f252(x101881,x101881),x101882),x101883)),f307(x101881,f327(f327(f102(f922(f921(x101881,x101881),a910)),x101884),x101885))))
% 207.24/207.89 [10227]P1(f327(f327(f329(f921(x102271,x102271)),f327(f327(f252(x102271,x102271),x102272),x102273)),f307(x102271,x102274)))+P1(f327(f327(f329(f921(x102271,x102271)),f327(f327(f252(x102271,x102271),f619(x102275,x102274,x102273,x102272,x102271)),f620(x102275,x102274,x102273,x102272,x102271))),x102275))+~P1(f327(f327(f329(f921(x102271,x102271)),f327(f327(f252(x102271,x102271),x102272),x102273)),f307(x102271,f327(f327(f102(f922(f921(x102271,x102271),a910)),x102274),x102275))))
% 207.24/207.89 [10228]P1(f327(f327(f329(f921(x102281,x102281)),f327(f327(f252(x102281,x102281),x102282),x102283)),f307(x102281,x102284)))+P1(f327(f327(f329(f921(x102281,x102281)),f327(f327(f252(x102281,x102281),f622(x102285,x102284,x102283,x102282,x102281)),f621(x102285,x102284,x102283,x102282,x102281))),x102285))+~P1(f327(f327(f329(f921(x102281,x102281)),f327(f327(f252(x102281,x102281),x102282),x102283)),f307(x102281,f327(f327(f102(f922(f921(x102281,x102281),a910)),x102284),x102285))))
% 207.24/207.89 [10374]~P1(f327(f327(f329(f921(f916(x103741),f916(x103741))),f327(f327(f252(f916(x103741),f916(x103741)),x103744),x103745)),f159(x103741,x103742)))+~P1(f327(f327(f329(f921(x103741,x103741)),x103743),f327(f173(f921(x103741,x103741)),f327(f327(f182(x103741,x103741),x103744),x103745))))+P1(f327(f327(f257(x103741,x103741,a910),f327(f327(f7(x103741,f922(f921(x103741,x103741),a910),f922(x103741,a910)),f327(f327(f8(f922(x103741,f922(f922(f921(x103741,x103741),a910),a910)),f922(f922(f921(x103741,x103741),a910),f922(x103741,a910)),x103741),f7(x103741,f922(f921(x103741,x103741),a910),a910)),f327(f327(f8(f922(x103741,f921(x103741,x103741)),f922(x103741,f922(f922(f921(x103741,x103741),a910),a910)),x103741),f327(f8(f921(x103741,x103741),f922(f922(f921(x103741,x103741),a910),a910),x103741),f329(f921(x103741,x103741)))),f252(x103741,x103741)))),x103742)),x103743))
% 207.24/207.89 [9803]~P1(f327(f327(f234(a915),x98033),x98032))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),f327(f327(f81(a915),x98033),x98034)),x98031)),f327(f327(f80(a915),f327(f327(f81(a915),x98032),x98034)),x98035)))+P1(f327(f327(f234(a915),x98031),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x98032),x98033)),x98034)),x98035)))
% 207.24/207.89 [9804]~P1(f327(f327(f234(a915),x98043),x98042))+~P1(f327(f327(f235(a915),f327(f327(f80(a915),f327(f327(f81(a915),x98043),x98044)),x98041)),f327(f327(f80(a915),f327(f327(f81(a915),x98042),x98044)),x98045)))+P1(f327(f327(f235(a915),x98041),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x98042),x98043)),x98044)),x98045)))
% 207.24/207.89 [9821]~P1(f327(f327(f234(a915),x98211),x98214))+P1(f327(f327(f234(a915),f327(f327(f80(a915),f327(f327(f81(a915),x98211),x98212)),x98213)),f327(f327(f80(a915),f327(f327(f81(a915),x98214),x98212)),x98215)))+~P1(f327(f327(f234(a915),x98213),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x98214),x98211)),x98212)),x98215)))
% 207.24/207.89 [9822]~P1(f327(f327(f234(a915),x98221),x98224))+P1(f327(f327(f235(a915),f327(f327(f80(a915),f327(f327(f81(a915),x98221),x98222)),x98223)),f327(f327(f80(a915),f327(f327(f81(a915),x98224),x98222)),x98225)))+~P1(f327(f327(f235(a915),x98223),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x98224),x98221)),x98222)),x98225)))
% 207.24/207.89 [9938]~P1(f327(f327(f234(a915),x99382),x99381))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),f327(f327(f81(a915),x99381),x99383)),x99384)),f327(f327(f80(a915),f327(f327(f81(a915),x99382),x99383)),x99385)))+P1(f327(f327(f234(a915),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x99381),x99382)),x99383)),x99384)),x99385))
% 207.24/207.89 [9939]~P1(f327(f327(f234(a915),x99392),x99391))+~P1(f327(f327(f235(a915),f327(f327(f80(a915),f327(f327(f81(a915),x99391),x99393)),x99394)),f327(f327(f80(a915),f327(f327(f81(a915),x99392),x99393)),x99395)))+P1(f327(f327(f235(a915),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x99391),x99392)),x99393)),x99394)),x99395))
% 207.24/207.89 [9982]~P1(f327(f327(f234(a915),x99824),x99821))+P1(f327(f327(f234(a915),f327(f327(f80(a915),f327(f327(f81(a915),x99821),x99822)),x99823)),f327(f327(f80(a915),f327(f327(f81(a915),x99824),x99822)),x99825)))+~P1(f327(f327(f234(a915),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x99821),x99824)),x99822)),x99823)),x99825))
% 207.24/207.89 [9983]~P1(f327(f327(f234(a915),x99834),x99831))+P1(f327(f327(f235(a915),f327(f327(f80(a915),f327(f327(f81(a915),x99831),x99832)),x99833)),f327(f327(f80(a915),f327(f327(f81(a915),x99834),x99832)),x99835)))+~P1(f327(f327(f235(a915),f327(f327(f80(a915),f327(f327(f81(a915),f327(f327(f23(a915),x99831),x99834)),x99832)),x99833)),x99835))
% 207.24/207.89 [10215]~P9(x102151,x102152,x102155,x102153)+~P1(f327(f327(f329(f921(x102151,x102151)),x102154),x102155))+P1(f327(f327(f257(x102151,x102151,a910),f327(f327(f7(x102151,f922(x102151,x102152),f922(x102151,a910)),f327(f327(f8(f922(x102152,a910),f922(f922(x102151,x102152),f922(x102151,a910)),x102151),f8(x102152,a910,x102151)),f327(f327(f8(x102152,f922(x102152,a910),x102151),a324),x102153))),x102153)),x102154))
% 207.24/207.89 [8604]~P17(x86046,x86041,x86042,x86044)+E(f327(f72(x86041,x86041,x86041,f327(x86042,x86043)),f327(x86044,x86045)),f327(f72(x86041,x86041,x86041,f327(x86044,x86045)),f327(x86042,x86043)))+~P1(f327(f35(x86046),x86045))
% 207.24/207.89 [9041]~P23(x90411,x90413,x90415,x90416)+~P23(x90413,x90412,x90414,f327(f310(x90411,x90413,x90415),x90416))+P23(x90411,x90412,f327(f72(x90413,x90412,x90411,x90414),x90415),x90416)
% 207.24/207.89 [9607]~P1(f327(f327(x96074,x96072),x96076))+~P1(f327(f327(x96073,x96075),x96072))+P1(f327(f327(f329(x96071),x96072),f297(x96071,x96073,x96074,x96075,x96076)))
% 207.24/207.89 [9608]~P1(f327(f327(x96083,x96082),x96086))+~P1(f327(f327(x96084,x96085),x96082))+P1(f327(f327(f329(x96081),x96082),f300(x96081,x96083,x96084,x96085,x96086)))
% 207.24/207.89 [9721]E(x97211,x97212)+E(x97213,x97214)+~P1(f327(f327(f329(f921(f916(x97215),f916(x97215))),f327(f327(f252(f916(x97215),f916(x97215)),f327(f327(f152(x97215),x97213),x97211)),f327(f327(f152(x97215),x97214),x97212))),f158(x97215,x97216)))
% 207.24/207.89 [9730]~E(x97302,x97304)+P1(f327(f327(f329(f921(f916(x97301),f916(x97301))),f327(f327(f252(f916(x97301),f916(x97301)),f327(f327(f152(x97301),x97302),x97303)),f327(f327(f152(x97301),x97304),x97305))),f146(x97301,x97306)))+~P1(f327(f327(f329(f921(f916(x97301),f916(x97301))),f327(f327(f252(f916(x97301),f916(x97301)),x97303),x97305)),f146(x97301,x97306)))
% 207.24/207.89 [9731]~E(x97312,x97314)+P1(f327(f327(f329(f921(f916(x97311),f916(x97311))),f327(f327(f252(f916(x97311),f916(x97311)),f327(f327(f152(x97311),x97312),x97313)),f327(f327(f152(x97311),x97314),x97315))),f148(x97311,x97316)))+~P1(f327(f327(f329(f921(f916(x97311),f916(x97311))),f327(f327(f252(f916(x97311),f916(x97311)),x97313),x97315)),f148(x97311,x97316)))
% 207.24/207.89 [9732]~E(x97322,x97324)+P1(f327(f327(f329(f921(f916(x97321),f916(x97321))),f327(f327(f252(f916(x97321),f916(x97321)),f327(f327(f152(x97321),x97322),x97323)),f327(f327(f152(x97321),x97324),x97325))),f158(x97321,x97326)))+~P1(f327(f327(f329(f921(f916(x97321),f916(x97321))),f327(f327(f252(f916(x97321),f916(x97321)),x97323),x97325)),f158(x97321,x97326)))
% 207.24/207.89 [9733]~E(x97332,x97334)+P1(f327(f327(f329(f921(f916(x97331),f916(x97331))),f327(f327(f252(f916(x97331),f916(x97331)),f327(f327(f135(x97331),x97332),x97333)),f327(f327(f135(x97331),x97334),x97335))),f158(x97331,x97336)))+~P1(f327(f327(f329(f921(f916(x97331),f916(x97331))),f327(f327(f252(f916(x97331),f916(x97331)),x97333),x97335)),f158(x97331,x97336)))
% 207.24/207.89 [9734]~E(x97343,x97345)+P1(f327(f327(f329(f921(f916(x97341),f916(x97341))),f327(f327(f252(f916(x97341),f916(x97341)),f327(f327(f135(x97341),x97342),x97343)),f327(f327(f135(x97341),x97344),x97345))),f158(x97341,x97346)))+~P1(f327(f327(f329(f921(f916(x97341),f916(x97341))),f327(f327(f252(f916(x97341),f916(x97341)),x97342),x97344)),f158(x97341,x97346)))
% 207.24/207.89 [9791]E(x97911,x97912)+P1(f327(f327(f329(f921(f916(x97913),f916(x97913))),f327(f327(f252(f916(x97913),f916(x97913)),x97911),x97912)),f158(x97913,x97914)))+~P1(f327(f327(f329(f921(f916(x97913),f916(x97913))),f327(f327(f252(f916(x97913),f916(x97913)),f327(f327(f152(x97913),x97915),x97911)),f327(f327(f152(x97913),x97916),x97912))),f158(x97913,x97914)))
% 207.24/207.89 [9942]~E(x99423,x99425)+P1(f327(f327(f329(f921(f916(x99421),f916(x99421))),f327(f327(f252(f916(x99421),f916(x99421)),f327(f327(f135(x99421),x99422),f327(f327(f152(x99421),x99423),f114(x99421)))),f327(f327(f135(x99421),x99424),f327(f327(f152(x99421),x99425),f114(x99421))))),f158(x99421,x99426)))+~P1(f327(f327(f329(f921(f916(x99421),f916(x99421))),f327(f327(f252(f916(x99421),f916(x99421)),x99422),x99424)),f158(x99421,x99426)))
% 207.24/207.89 [9986]E(x99861,x99862)+E(x99863,x99864)+~P1(f327(f327(f329(f921(f916(x99865),f916(x99865))),f327(f327(f252(f916(x99865),f916(x99865)),f327(f327(f135(x99865),x99863),f327(f327(f152(x99865),x99861),f114(x99865)))),f327(f327(f135(x99865),x99864),f327(f327(f152(x99865),x99862),f114(x99865))))),f158(x99865,x99866)))
% 207.24/207.89 [10013]E(x100131,x100132)+~P1(f327(f327(f329(f921(f916(x100133),f916(x100133))),f327(f327(f252(f916(x100133),f916(x100133)),f327(f327(f135(x100133),x100131),f327(f327(f152(x100133),x100135),f114(x100133)))),f327(f327(f135(x100133),x100132),f327(f327(f152(x100133),x100136),f114(x100133))))),f158(x100133,x100134)))+P1(f327(f327(f329(f921(f916(x100133),f916(x100133))),f327(f327(f252(f916(x100133),f916(x100133)),x100131),x100132)),f158(x100133,x100134)))
% 207.24/207.89 [10051]~P1(f327(f327(f329(f921(f922(x100511,a910),f922(x100511,a910))),f327(f327(f252(f922(x100511,a910),f922(x100511,a910)),x100512),x100514)),f319(x100511,x100516)))+~P1(f327(f327(f329(f921(f922(x100511,a910),f922(x100511,a910))),f327(f327(f252(f922(x100511,a910),f922(x100511,a910)),x100513),x100515)),f319(x100511,x100516)))+P1(f327(f327(f329(f921(f922(x100511,a910),f922(x100511,a910))),f327(f327(f252(f922(x100511,a910),f922(x100511,a910)),f327(f327(f102(f922(x100511,a910)),x100512),x100513)),f327(f327(f102(f922(x100511,a910)),x100514),x100515))),f319(x100511,x100516)))
% 207.24/207.89 [5834]~E(f327(f327(f135(x58341),x58346),x58343),x58345)+E(f327(f327(f135(x58341),x58342),x58343),f327(f327(f152(x58341),x58344),x58345))+~E(x58342,f327(f327(f152(x58341),x58344),x58346))
% 207.24/207.89 [5835]~E(f327(f327(f135(x58351),x58356),x58353),x58355)+E(f327(f327(f135(x58351),x58352),x58353),f327(f327(f135(x58351),x58354),x58355))+~E(x58352,f327(f327(f135(x58351),x58354),x58356))
% 207.24/207.89 [5837]E(f327(f327(f135(x58371),x58372),x58373),f327(f327(f152(x58371),x58374),x58375))+~E(f327(f327(f152(x58371),x58374),x58376),x58372)+~E(x58375,f327(f327(f135(x58371),x58376),x58373))
% 207.24/207.89 [5839]~E(f327(f327(f135(x58391),x58392),x58396),x58394)+E(f327(f327(f135(x58391),x58392),x58393),f327(f327(f135(x58391),x58394),x58395))+~E(x58393,f327(f327(f135(x58391),x58396),x58395))
% 207.24/207.89 [6990]E(f327(x69901,x69902),f327(x69903,x69902))+~E(f327(f327(f155(x69904,x69905),x69901),x69906),f327(f327(f155(x69904,x69905),x69903),x69906))+~P1(f327(f327(f329(x69904),x69902),f327(f173(x69904),x69906)))
% 207.24/207.89 [7379]~P17(x73794,x73795,x73796,x73791)+E(f327(f327(x73791,x73792),x73793),f327(f327(f64(x73794,x73795,x73796),x73793),x73792))+~P1(f327(f35(x73794),x73792))
% 207.24/207.89 [7450]~E(x74502,f327(x74504,x74506))+~P1(f327(f327(f329(x74503),x74506),x74505))+P1(f327(f327(f329(x74501),x74502),f327(f310(x74503,x74501,x74504),x74505)))
% 207.24/207.89 [7451]~E(f327(x74514,x74512),x74516)+~P1(f327(f327(f329(x74513),x74516),x74515))+P1(f327(f327(f329(x74511),x74512),f327(f311(x74511,x74513,x74514),x74515)))
% 207.24/207.89 [7897]~P30(x78971,x78972,x78974,x78976)+P30(x78971,x78972,f327(f327(f152(x78971),x78973),x78974),f327(f327(f152(x78971),x78975),x78976))+~P1(f327(f327(x78972,x78973),x78975))
% 207.24/207.89 [8907]~P54(x89074,x89075,x89071,x89072,x89076)+E(f327(x89071,f327(x89072,x89073)),x89073)+~P1(f327(f327(f329(x89075),x89073),x89076))
% 207.24/207.89 [9407]~P24(x94072,x94071,x94075,x94074,x94073)+E(f327(f92(x94071,x94072,x94073,f92(x94072,x94071,x94074,x94075)),x94076),f327(x94075,x94076))+~P1(f327(f327(f329(x94072),x94076),x94074))
% 207.24/207.89 [9418]~P23(x94181,x94182,x94183,x94186)+P23(x94181,x94182,f74(x94181,x94182,x94183,x94184,x94185),x94186)+P1(f327(f327(f329(x94182),x94185),f327(f310(x94181,x94182,x94183),x94186)))
% 207.24/207.89 [9723]E(x97231,x97232)+E(f327(f191(f916(x97233)),x97234),f327(f191(f916(x97233)),x97235))+~P1(f327(f327(f329(f921(f916(x97233),f916(x97233))),f327(f327(f252(f916(x97233),f916(x97233)),f327(f327(f152(x97233),x97231),x97234)),f327(f327(f152(x97233),x97232),x97235))),f146(x97233,x97236)))
% 207.24/207.89 [9786]~P14(x97861,x97862,x97863)+E(f327(f327(f64(x97861,x97862,x97863),x97864),x97865),x97866)+~P1(f327(f66(x97861,x97862,x97863,x97864,x97865),x97866))
% 207.24/207.89 [9794]E(f327(f191(f916(x97941)),x97942),f327(f191(f916(x97941)),x97943))+P1(f327(f327(f329(f921(f916(x97941),f916(x97941))),f327(f327(f252(f916(x97941),f916(x97941)),x97942),x97943)),f146(x97941,x97944)))+~P1(f327(f327(f329(f921(f916(x97941),f916(x97941))),f327(f327(f252(f916(x97941),f916(x97941)),f327(f327(f152(x97941),x97945),x97942)),f327(f327(f152(x97941),x97946),x97943))),f146(x97941,x97944)))
% 207.24/207.89 [9815]~P1(f327(f327(f329(f921(x98151,x98151)),f327(f327(f252(x98151,x98151),x98152),x98154)),f307(x98151,x98156)))+P1(f327(f327(f329(f921(f916(x98151),f916(x98151))),f327(f327(f252(f916(x98151),f916(x98151)),f327(f327(f152(x98151),x98152),x98153)),f327(f327(f152(x98151),x98154),x98155))),f307(f916(x98151),f158(x98151,x98156))))+~P1(f327(f327(f329(f921(f916(x98151),f916(x98151))),f327(f327(f252(f916(x98151),f916(x98151)),x98153),x98155)),f307(f916(x98151),f158(x98151,x98156))))
% 207.24/207.89 [9992]~P1(f327(x99922,x99926))+~E(f327(f137(x99921,x99922),x99923),f327(f327(f152(x99921),x99924),x99925))+~P1(f327(f327(f329(x99921),x99926),f327(f173(x99921),f741(x99925,x99924,x99923,x99922,x99921))))
% 207.24/207.89 [9993]~P1(f327(x99934,x99936))+~E(f327(f327(f152(x99931),x99932),x99933),f327(f137(x99931,x99934),x99935))+~P1(f327(f327(f329(x99931),x99936),f327(f173(x99931),f739(x99935,x99934,x99933,x99932,x99931))))
% 207.24/207.89 [10315]~P68(x103152)+E(f327(f327(f6(x103151,x103152),f327(f327(f8(f922(x103153,a910),x103152,x103151),f327(f6(x103153,x103152),x103154)),f327(f327(f8(f922(x103153,a910),f922(x103153,a910),x103151),f262(x103153)),f327(f327(f8(f922(x103153,a910),f922(x103153,a910),x103151),f327(f18(x103153,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103153),a325),f327(f327(f7(x103153,f922(x103153,a910),a910),f329(x103153)),x103155)))),f327(f7(x103153,x103151,a910),f327(f327(f8(x103151,f922(x103151,a910),x103153),a324),x103156)))))),f327(f310(x103153,x103151,x103156),x103155)),f327(f327(f6(x103153,x103152),x103154),x103155))+~P1(f327(f35(x103153),x103155))
% 207.24/207.89 [7048]~P108(x70483)+P1(f327(x70482,x70485))+E(f327(f137(x70481,x70482),f327(f327(f149(x70481,x70483,x70484),x70485),x70486)),f327(f137(x70481,x70482),x70486))
% 207.24/207.89 [7050]P1(f327(x70501,x70502))+~E(f167(x70503,x70501,x70504),f327(f327(f252(f916(x70503),f916(x70503)),x70505),x70506))+~P1(f327(f327(f329(x70503),x70502),f327(f173(x70503),x70505)))
% 207.24/207.89 [7095]~P1(f327(x70952,x70956))+~E(f167(x70951,x70952,x70953),f327(f327(f252(f916(x70951),f916(x70951)),x70954),x70955))+~P1(f327(f327(f329(x70951),x70956),f327(f173(x70951),x70955)))
% 207.24/207.89 [7760]~P12(x77601,x77602,x77603)+~P1(f327(f35(x77601),x77606))+E(f327(f327(f64(x77601,x77602,x77603),x77604),f327(f327(f309(x77601),x77605),x77606)),f327(f327(f64(x77601,x77602,x77603),f327(f327(x77603,x77605),x77604)),x77606))
% 207.24/207.89 [7813]~P108(x78132)+~P1(f327(f327(f234(x78132),f327(x78133,x78134)),f327(x78133,x78135)))+E(f327(f327(f149(x78131,x78132,x78133),x78134),f327(f327(f152(x78131),x78135),x78136)),f327(f327(f152(x78131),x78134),f327(f327(f152(x78131),x78135),x78136)))
% 207.24/207.89 [7925]E(x79251,x79252)+~E(f327(f327(f254(x79253,x79254),x79251),f327(f16(f922(x79254,a910),x79253),x79255)),f327(f327(f254(x79253,x79254),x79252),f327(f16(f922(x79254,a910),x79253),x79255)))+~P1(f327(f327(f329(x79254),x79256),x79255))
% 207.24/207.89 [7990]~P12(x79901,x79902,x79903)+~P1(f327(f35(x79901),x79906))+E(f327(f327(f64(x79901,x79902,x79903),x79904),f327(f327(f309(x79901),x79905),x79906)),f327(f327(x79903,x79905),f327(f327(f64(x79901,x79902,x79903),x79904),x79906)))
% 207.24/207.89 [8108]~P14(x81081,x81082,x81083)+~P1(f327(f35(x81081),x81086))+E(f327(f327(f64(x81081,x81082,x81083),f327(f327(x81083,x81084),x81085)),x81086),f327(f327(x81083,x81084),f327(f327(f64(x81081,x81082,x81083),x81085),x81086)))
% 207.24/207.89 [8176]~P18(x81762,x81765,x81766,x81761)+~P1(f327(f35(x81762),x81764))+E(f327(x81761,f327(f327(f309(x81762),x81763),x81764)),f327(f72(x81765,x81765,x81765,f327(x81761,x81764)),f327(x81766,x81763)))
% 207.24/207.89 [8208]~P108(x82082)+P1(f327(f327(f234(x82082),f327(x82083,x82084)),f327(x82083,x82085)))+E(f327(f327(f149(x82081,x82082,x82083),x82084),f327(f327(f152(x82081),x82085),x82086)),f327(f327(f152(x82081),x82085),f327(f327(f149(x82081,x82082,x82083),x82084),x82086)))
% 207.24/207.89 [8351]~E(f327(f191(f916(x83511)),x83515),f327(f191(f916(x83512)),x83516))+~E(f327(f191(f916(x83511)),x83513),f327(f191(f916(x83512)),x83514))+E(f327(f327(f135(f921(x83511,x83512)),f327(f327(f182(x83511,x83512),x83513),x83514)),f327(f327(f182(x83511,x83512),x83515),x83516)),f327(f327(f182(x83511,x83512),f327(f327(f135(x83511),x83513),x83515)),f327(f327(f135(x83512),x83514),x83516)))
% 207.24/207.89 [8462]~E(x84622,f327(f310(x84623,x84621,x84624),x84626))+P1(f327(f327(f234(f922(x84621,a910)),x84622),f327(f310(x84623,x84621,x84624),x84625)))+~P1(f327(f327(f234(f922(x84623,a910)),x84626),x84625))
% 207.24/207.89 [8563]~P108(x85635)+E(f327(x85631,x85632),f327(x85631,x85633))+E(f327(f327(f149(x85634,x85635,x85631),x85632),f327(f327(f149(x85634,x85635,x85631),x85633),x85636)),f327(f327(f149(x85634,x85635,x85631),x85633),f327(f327(f149(x85634,x85635,x85631),x85632),x85636)))
% 207.24/207.89 [8737]~P1(f327(f327(f329(x87372),x87374),f327(x87376,x87373)))+~P1(f327(f327(f329(x87371),x87373),x87375))+P1(f327(f327(f329(f921(x87371,x87372)),f327(f327(f252(x87371,x87372),x87373),x87374)),f327(f327(f254(x87371,x87372),x87375),x87376)))
% 207.24/207.89 [9215]~P68(x92152)+~P23(x92154,x92151,x92155,x92156)+E(f327(f327(f6(x92151,x92152),x92153),f327(f310(x92154,x92151,x92155),x92156)),f327(f327(f6(x92154,x92152),f327(f72(x92151,x92152,x92154,x92153),x92155)),x92156))
% 207.24/207.89 [9216]~P75(x92162)+~P23(x92164,x92161,x92165,x92166)+E(f327(f327(f9(x92161,x92162),x92163),f327(f310(x92164,x92161,x92165),x92166)),f327(f327(f9(x92164,x92162),f327(f72(x92161,x92162,x92164,x92163),x92165)),x92166))
% 207.24/207.89 [9263]~P32(x92632,x92635,x92631,x92633,x92636)+P1(f327(f327(x92631,f327(f327(f165(x92632),x92633),x92634)),f327(f327(f165(x92635),x92636),x92634)))+~P1(f327(f327(f235(a915),x92634),f327(f191(f916(x92635)),x92636)))
% 207.24/207.89 [9264]~P32(x92642,x92645,x92641,x92643,x92646)+P1(f327(f327(x92641,f327(f327(f165(x92642),x92643),x92644)),f327(f327(f165(x92645),x92646),x92644)))+~P1(f327(f327(f235(a915),x92644),f327(f191(f916(x92642)),x92643)))
% 207.24/207.89 [9275]~E(f327(f310(x92751,x92752,x92753),x92754),x92756)+E(f327(f310(x92751,x92752,x92753),f327(f310(x92752,x92751,f92(x92751,x92752,x92754,x92753)),x92755)),x92755)+~P1(f327(f327(f234(f922(x92752,a910)),x92755),x92756))
% 207.24/207.89 [9475]~P17(x94753,x94751,x94756,x94752)+~P1(f327(f35(x94753),x94754))+E(f327(f72(x94751,x94751,x94751,f327(x94752,f327(f327(f23(f922(x94753,a910)),x94754),f327(f327(f309(x94753),x94755),f190(f922(x94753,a910)))))),f327(x94756,x94755)),f327(x94752,f327(f327(f309(x94753),x94755),x94754)))
% 207.24/207.89 [10080]~E(f327(f310(x100802,x100804,x100806),f242(f922(x100802,a910))),f242(f922(x100804,a910)))+~E(f327(f310(x100801,x100803,x100805),f242(f922(x100801,a910))),f242(f922(x100803,a910)))+E(f327(f310(f921(x100801,x100802),f921(x100803,x100804),f258(x100801,x100803,x100802,x100804,x100805,x100806)),f242(f922(f921(x100801,x100802),a910))),f242(f922(f921(x100803,x100804),a910)))
% 207.24/207.89 [10138]~P23(x101383,x101384,x101385,f327(x101386,f484(x101386,x101385,x101384,x101383,x101382,x101381)))+P23(x101383,x101384,x101385,f327(f327(f41(x101382,f922(x101383,a910)),x101381),x101386))+E(x101381,f190(f922(x101382,a910)))
% 207.24/207.89 [10196]P23(x101966,x101965,x101964,f327(f327(f41(x101962,f922(x101966,a910)),x101961),x101963))+E(x101961,f190(f922(x101962,a910)))+P1(f327(f327(f329(x101962),f484(x101963,x101964,x101965,x101966,x101962,x101961)),x101961))
% 207.24/207.89 [10201]P1(f327(f327(f329(x102011),f592(x102012,x102013,x102014,x102015,x102016,x102011)),x102016))+P1(f327(f327(f234(f922(f921(x102011,x102014),a910)),f327(f327(f254(x102011,x102014),x102016),x102013)),f327(f327(f254(x102011,x102014),x102015),x102012)))+~P1(f327(f327(f234(f922(x102011,a910)),x102016),x102015))
% 207.24/207.89 [10241]P22(x102416,x102415,f327(f327(f309(f913(x102416)),f327(f327(f327(f91(x102416),x102411),x102413),x102412)),f190(f922(f913(x102416),a910))))+~P22(x102416,x102415,f327(f327(f309(f913(x102416)),f327(f327(f327(f91(x102416),x102414),x102413),x102412)),f190(f922(f913(x102416),a910))))+P1(f327(f327(x102411,f887(x102411,x102412,x102413,x102414,x102415,x102416)),f897(x102411,x102412,x102413,x102414,x102415,x102416)))
% 207.24/207.89 [10242]P22(x102426,x102425,f327(f327(f309(f913(x102426)),f327(f327(f327(f91(x102426),x102424),x102423),x102422)),f190(f922(f913(x102426),a910))))+~P22(x102426,x102425,f327(f327(f309(f913(x102426)),f327(f327(f327(f91(x102426),x102424),x102423),x102421)),f190(f922(f913(x102426),a910))))+P1(f327(f327(x102421,f360(x102422,x102421,x102423,x102424,x102425,x102426)),f371(x102422,x102421,x102423,x102424,x102425,x102426)))
% 207.24/207.89 [10284]~P22(x102841,x102842,f327(f327(f309(f913(x102841)),f327(f327(f327(f91(x102841),x102843),x102844),x102846)),f190(f922(f913(x102841),a910))))+P22(x102841,x102842,f327(f327(f309(f913(x102841)),f327(f327(f327(f91(x102841),x102843),x102844),x102845)),f190(f922(f913(x102841),a910))))+~P1(f327(f327(x102845,f360(x102845,x102846,x102844,x102843,x102842,x102841)),f371(x102845,x102846,x102844,x102843,x102842,x102841)))
% 207.24/207.89 [10285]~P22(x102851,x102852,f327(f327(f309(f913(x102851)),f327(f327(f327(f91(x102851),x102856),x102854),x102855)),f190(f922(f913(x102851),a910))))+P22(x102851,x102852,f327(f327(f309(f913(x102851)),f327(f327(f327(f91(x102851),x102853),x102854),x102855)),f190(f922(f913(x102851),a910))))+~P1(f327(f327(x102856,f887(x102853,x102855,x102854,x102856,x102852,x102851)),f897(x102853,x102855,x102854,x102856,x102852,x102851)))
% 207.24/207.89 [10329]~P1(f327(f327(f234(f922(x103292,a910)),f327(x103294,f592(x103296,x103294,x103292,x103295,x103293,x103291))),f327(x103296,f592(x103296,x103294,x103292,x103295,x103293,x103291))))+~P1(f327(f327(f234(f922(x103291,a910)),x103293),x103295))+P1(f327(f327(f234(f922(f921(x103291,x103292),a910)),f327(f327(f254(x103291,x103292),x103293),x103294)),f327(f327(f254(x103291,x103292),x103295),x103296)))
% 207.24/207.89 [7947]~P1(f327(x79471,x79475))+~P1(f327(x79476,x79474))+P1(f327(x79471,f327(f256(x79472,x79473),f327(f327(f252(x79472,x79473),x79474),x79475))))
% 207.24/207.89 [7948]~P1(f327(x79481,x79484))+~P1(f327(x79486,x79485))+P1(f327(x79481,f327(f251(x79482,x79483),f327(f327(f252(x79482,x79483),x79484),x79485))))
% 207.24/207.89 [7995]~P1(f327(f327(x79954,x79956),x79955))+~P1(f327(f327(f329(x79951),x79956),x79953))+P1(f327(f327(f327(f40(x79951,f922(x79952,a910)),x79953),x79954),x79955))
% 207.24/207.89 [8301]~P1(f327(f327(f329(x83011),x83012),f327(x83015,x83016)))+~P1(f327(f327(f329(x83013),x83016),x83014))+P1(f327(f327(f329(x83011),x83012),f327(f327(f40(x83013,f922(x83011,a910)),x83014),x83015)))
% 207.24/207.89 [8345]P1(f327(f327(x83451,x83452),x83453))+~P1(f327(f327(x83454,x83452),x83453))+~P1(f327(f327(f234(f922(x83455,f922(x83456,a910))),x83454),x83451))
% 207.24/207.89 [8485]P1(f327(f327(x84851,x84852),x84853))+~P1(f327(f327(f329(x84854),x84852),x84855))+~P1(f327(f327(f327(f41(x84854,f922(x84856,a910)),x84855),x84851),x84853))
% 207.24/207.89 [8619]P1(f327(f327(f329(x86191),x86192),f327(x86193,x86194)))+~P1(f327(f327(f329(x86195),x86194),x86196))+~P1(f327(f327(f329(x86191),x86192),f327(f327(f41(x86195,f922(x86191,a910)),x86196),x86193)))
% 207.24/207.89 [8886]~P9(x88864,x88865,x88866,x88861)+E(f327(x88861,x88862),f327(x88861,x88863))+~P1(f327(f327(f329(f921(x88864,x88864)),f327(f327(f252(x88864,x88864),x88862),x88863)),x88866))
% 207.24/207.89 [8921]P1(f327(f327(f234(f922(x89211,a910)),x89212),f327(x89213,x89214)))+~P1(f327(f327(f329(x89215),x89214),x89216))+~P1(f327(f327(f234(f922(x89211,a910)),x89212),f327(f327(f41(x89215,f922(x89211,a910)),x89216),x89213)))
% 207.24/207.89 [8954]~P52(x89543,x89544,f327(f286(x89544,x89543),x89545))+E(x89541,f190(f922(x89542,a910)))+E(f327(f327(f41(x89542,f922(x89543,a910)),x89541),f327(f327(f8(f922(x89544,a910),f922(x89543,a910),x89542),f285(x89544,x89543,x89545)),x89546)),f327(f285(x89544,x89543,x89545),f327(f327(f41(x89542,f922(x89544,a910)),x89541),x89546)))
% 207.24/207.89 [9032]P1(f327(f327(f329(x90321),x90322),f327(f285(x90323,x90321,x90324),x90325)))+~P1(f327(f327(f329(x90323),x90326),x90325))+~P1(f327(f327(f329(f921(x90323,x90321)),f327(f327(f252(x90323,x90321),x90326),x90322)),x90324))
% 207.24/207.89 [9340]P1(f327(f327(f234(f922(x93401,a910)),f327(f285(x93402,x93401,x93403),x93404)),f327(f285(x93402,x93401,x93405),x93406)))+~P1(f327(f327(f234(f922(x93402,a910)),x93404),x93406))+~P1(f327(f327(f234(f922(f921(x93402,x93401),a910)),x93403),x93405))
% 207.24/207.89 [9524]~P1(f327(f327(f329(x95242),x95246),x95244))+~P1(f327(f327(f234(f922(x95241,a910)),x95243),x95245))+P1(f327(f327(f234(f922(f921(x95241,x95242),a910)),f327(f327(f254(x95241,x95242),x95243),f327(f16(f922(x95242,a910),x95241),x95244))),f327(f327(f254(x95241,x95242),x95245),f327(f16(f922(x95242,a910),x95241),x95244))))
% 207.24/207.89 [9536]~P32(x95361,x95362,x95363,x95365,x95366)+P1(f327(f327(f257(x95361,x95362,a910),x95363),x95364))+~P1(f327(f327(f329(f921(x95361,x95362)),x95364),f327(f173(f921(x95361,x95362)),f327(f327(f182(x95361,x95362),x95365),x95366))))
% 207.24/207.89 [9676]~E(x96763,x96765)+P1(f327(f327(f329(f921(f916(x96761),f916(x96761))),f327(f327(f252(f916(x96761),f916(x96761)),f327(f327(f152(x96761),x96762),x96763)),f327(f327(f152(x96761),x96764),x96765))),f158(x96761,x96766)))+~P1(f327(f327(f329(f921(x96761,x96761)),f327(f327(f252(x96761,x96761),x96762),x96764)),x96766))
% 207.24/207.89 [9682]~E(f327(f191(f916(x96821)),x96823),f327(f191(f916(x96821)),x96825))+P1(f327(f327(f329(f921(f916(x96821),f916(x96821))),f327(f327(f252(f916(x96821),f916(x96821)),f327(f327(f152(x96821),x96822),x96823)),f327(f327(f152(x96821),x96824),x96825))),f146(x96821,x96826)))+~P1(f327(f327(f329(f921(x96821,x96821)),f327(f327(f252(x96821,x96821),x96822),x96824)),x96826))
% 207.24/207.89 [9715]P1(f327(f327(f329(f921(x97151,x97151)),f327(f327(f252(x97151,x97151),x97152),x97153)),f327(f327(f184(f921(x97151,x97151),a910),f327(a113,x97154)),x97155)))+~P1(f327(f327(f329(f921(x97151,x97151)),f327(f327(f252(x97151,x97151),x97156),x97153)),x97155))+~P1(f327(f327(f329(f921(x97151,x97151)),f327(f327(f252(x97151,x97151),x97152),x97156)),f327(f327(f184(f921(x97151,x97151),a910),x97154),x97155)))
% 207.24/207.89 [9716]P1(f327(f327(f329(f921(x97161,x97161)),f327(f327(f252(x97161,x97161),x97162),x97163)),f327(f327(f184(f921(x97161,x97161),a910),f327(a113,x97164)),x97165)))+~P1(f327(f327(f329(f921(x97161,x97161)),f327(f327(f252(x97161,x97161),x97162),x97166)),x97165))+~P1(f327(f327(f329(f921(x97161,x97161)),f327(f327(f252(x97161,x97161),x97166),x97163)),f327(f327(f184(f921(x97161,x97161),a910),x97164),x97165)))
% 207.24/207.89 [9719]~P1(f327(f327(f329(x97194),x97195),x97196))+P1(f327(f327(f234(f922(x97191,a910)),x97192),x97193))+~P1(f327(f327(f234(f922(f921(x97191,x97194),a910)),f327(f327(f254(x97191,x97194),x97192),f327(f16(f922(x97194,a910),x97191),x97196))),f327(f327(f254(x97191,x97194),x97193),f327(f16(f922(x97194,a910),x97191),x97196))))
% 207.24/207.89 [9764]E(x97641,x97642)+~P1(f327(f327(f329(f921(f916(x97643),f916(x97643))),f327(f327(f252(f916(x97643),f916(x97643)),f327(f327(f152(x97643),x97641),x97645)),f327(f327(f152(x97643),x97642),x97646))),f146(x97643,x97644)))+P1(f327(f327(f329(f921(x97643,x97643)),f327(f327(f252(x97643,x97643),x97641),x97642)),x97644))
% 207.24/207.89 [9765]E(x97651,x97652)+~P1(f327(f327(f329(f921(f916(x97653),f916(x97653))),f327(f327(f252(f916(x97653),f916(x97653)),f327(f327(f152(x97653),x97651),x97655)),f327(f327(f152(x97653),x97652),x97656))),f148(x97653,x97654)))+P1(f327(f327(f329(f921(x97653,x97653)),f327(f327(f252(x97653,x97653),x97651),x97652)),x97654))
% 207.24/207.89 [9766]E(x97661,x97662)+~P1(f327(f327(f329(f921(f916(x97663),f916(x97663))),f327(f327(f252(f916(x97663),f916(x97663)),f327(f327(f152(x97663),x97661),x97665)),f327(f327(f152(x97663),x97662),x97666))),f158(x97663,x97664)))+P1(f327(f327(f329(f921(x97663,x97663)),f327(f327(f252(x97663,x97663),x97661),x97662)),x97664))
% 207.24/207.89 [9802]P1(f327(f327(f329(f921(f916(x98021),f916(x98021))),f327(f327(f252(f916(x98021),f916(x98021)),f327(f327(f152(x98021),x98022),x98023)),f327(f327(f152(x98021),x98024),x98025))),f159(x98021,x98026)))+~P1(f327(f327(f329(f921(f916(x98021),f916(x98021))),f327(f327(f252(f916(x98021),f916(x98021)),x98023),x98025)),f159(x98021,x98026)))+~P1(f327(f327(f329(f921(x98021,x98021)),f327(f327(f252(x98021,x98021),x98022),x98024)),x98026))
% 207.24/207.89 [9819]P1(f327(x98191,x98192))+~P1(f327(x98191,f902(x98191,x98193,x98194,x98195,x98196)))+~P1(f327(f327(f329(x98196),x98192),f327(f327(f40(x98195,f922(x98196,a910)),x98194),x98193)))
% 207.24/207.89 [9824]~P1(f327(f327(f329(f921(f916(x98241),f916(x98241))),f327(f327(f252(f916(x98241),f916(x98241)),f327(f327(f152(x98241),x98242),x98245)),f327(f327(f152(x98241),x98243),x98246))),f146(x98241,x98244)))+P1(f327(f327(f329(f921(f916(x98241),f916(x98241))),f327(f327(f252(f916(x98241),f916(x98241)),x98245),x98246)),f146(x98241,x98244)))+P1(f327(f327(f329(f921(x98241,x98241)),f327(f327(f252(x98241,x98241),x98242),x98243)),x98244))
% 207.24/207.89 [9825]~P1(f327(f327(f329(f921(f916(x98251),f916(x98251))),f327(f327(f252(f916(x98251),f916(x98251)),f327(f327(f152(x98251),x98252),x98255)),f327(f327(f152(x98251),x98253),x98256))),f148(x98251,x98254)))+P1(f327(f327(f329(f921(f916(x98251),f916(x98251))),f327(f327(f252(f916(x98251),f916(x98251)),x98255),x98256)),f148(x98251,x98254)))+P1(f327(f327(f329(f921(x98251,x98251)),f327(f327(f252(x98251,x98251),x98252),x98253)),x98254))
% 207.24/207.89 [9826]~P1(f327(f327(f329(f921(f916(x98261),f916(x98261))),f327(f327(f252(f916(x98261),f916(x98261)),f327(f327(f152(x98261),x98262),x98265)),f327(f327(f152(x98261),x98263),x98266))),f158(x98261,x98264)))+P1(f327(f327(f329(f921(f916(x98261),f916(x98261))),f327(f327(f252(f916(x98261),f916(x98261)),x98265),x98266)),f158(x98261,x98264)))+P1(f327(f327(f329(f921(x98261,x98261)),f327(f327(f252(x98261,x98261),x98262),x98263)),x98264))
% 207.24/207.89 [9915]P1(f327(x99151,x99152))+P1(f327(f327(f329(x99153),f903(x99151,x99154,x99155,x99153,x99156)),x99155))+~P1(f327(f327(f329(x99156),x99152),f327(f327(f40(x99153,f922(x99156,a910)),x99155),x99154)))
% 207.24/207.89 [9926]~E(x99262,x99264)+P1(f327(f327(f329(f921(f916(x99261),f916(x99261))),f327(f327(f252(f916(x99261),f916(x99261)),f327(f327(f135(x99261),x99262),f327(f327(f152(x99261),x99263),f114(x99261)))),f327(f327(f135(x99261),x99264),f327(f327(f152(x99261),x99265),f114(x99261))))),f158(x99261,x99266)))+~P1(f327(f327(f329(f921(x99261,x99261)),f327(f327(f252(x99261,x99261),x99263),x99265)),x99266))
% 207.24/207.89 [10001]E(x100011,x100012)+~P1(f327(f327(f329(f921(f916(x100013),f916(x100013))),f327(f327(f252(f916(x100013),f916(x100013)),f327(f327(f135(x100013),x100015),f327(f327(f152(x100013),x100011),f114(x100013)))),f327(f327(f135(x100013),x100016),f327(f327(f152(x100013),x100012),f114(x100013))))),f158(x100013,x100014)))+P1(f327(f327(f329(f921(x100013,x100013)),f327(f327(f252(x100013,x100013),x100011),x100012)),x100014))
% 207.24/207.89 [10032]~P1(f327(f327(f329(f921(f916(x100321),f916(x100321))),f327(f327(f252(f916(x100321),f916(x100321)),f327(f327(f135(x100321),x100325),f327(f327(f152(x100321),x100322),f114(x100321)))),f327(f327(f135(x100321),x100326),f327(f327(f152(x100321),x100323),f114(x100321))))),f158(x100321,x100324)))+P1(f327(f327(f329(f921(f916(x100321),f916(x100321))),f327(f327(f252(f916(x100321),f916(x100321)),x100325),x100326)),f158(x100321,x100324)))+P1(f327(f327(f329(f921(x100321,x100321)),f327(f327(f252(x100321,x100321),x100322),x100323)),x100324))
% 207.24/207.89 [10052]P1(f327(x100521,x100522))+P1(f327(f327(f329(x100523),f902(x100521,x100524,x100525,x100526,x100523)),f327(x100524,f903(x100521,x100524,x100525,x100526,x100523))))+~P1(f327(f327(f329(x100523),x100522),f327(f327(f40(x100526,f922(x100523,a910)),x100525),x100524)))
% 207.24/207.89 [10205]P1(f327(f327(f329(x102051),f834(x102052,x102053,x102054,x102055,x102056,x102051)),x102055))+~P1(f327(f327(f234(f922(x102051,a910)),x102056),x102055))+P1(f327(f327(f234(f922(x102054,a910)),f327(f327(f41(x102051,f922(x102054,a910)),x102055),x102053)),f327(f327(f41(x102051,f922(x102054,a910)),x102055),x102052)))
% 207.24/207.89 [10330]~P1(f327(f327(f234(f922(x103301,a910)),f327(x103304,f834(x103305,x103304,x103301,x103303,x103306,x103302))),f327(x103305,f834(x103305,x103304,x103301,x103303,x103306,x103302))))+~P1(f327(f327(f234(f922(x103302,a910)),x103306),x103303))+P1(f327(f327(f234(f922(x103301,a910)),f327(f327(f41(x103302,f922(x103301,a910)),x103303),x103304)),f327(f327(f41(x103302,f922(x103301,a910)),x103303),x103305)))
% 207.24/207.89 [9052]~P14(x90523,x90524,x90521)+~P1(f327(f35(x90523),x90526))+E(f327(f327(x90521,x90522),f327(f327(f64(x90523,x90524,x90521),x90525),f327(f327(f23(f922(x90523,a910)),x90526),f327(f327(f309(x90523),x90522),f190(f922(x90523,a910)))))),f327(f327(f64(x90523,x90524,x90521),x90525),f327(f327(f309(x90523),x90522),x90526)))
% 207.24/207.89 [9349]~P1(f327(f327(f329(x93495),x93493),x93496))+P1(f327(f327(f234(f922(x93491,a910)),f327(x93492,x93493)),x93494))+~P1(f327(f327(f234(f922(x93491,a910)),f327(f327(f40(x93495,f922(x93491,a910)),x93496),x93492)),x93494))
% 207.24/207.89 [9975]~P6(x99751,x99755,x99754)+P1(f327(f327(f329(f921(x99751,x99751)),f327(f327(f252(x99751,x99751),x99752),x99753)),x99754))+~P1(f327(f327(f329(x99751),x99756),f327(f327(f103(f922(x99751,a910)),f327(f285(x99751,x99751,x99754),f327(f327(f309(x99751),x99752),f190(f922(x99751,a910))))),f327(f285(x99751,x99751,x99754),f327(f327(f309(x99751),x99753),f190(f922(x99751,a910)))))))
% 207.24/207.89 [8774]~P106(x87742)+~E(f327(f327(f80(x87742),f327(f327(f81(x87742),x87744),x87745)),x87741),f327(f327(f80(x87742),f327(f327(f81(x87742),x87743),x87745)),x87746))+E(x87741,f327(f327(f80(x87742),f327(f327(f81(x87742),f327(f327(f23(x87742),x87743),x87744)),x87745)),x87746))
% 207.24/207.89 [8775]~P106(x87751)+~E(f327(f327(f80(x87751),f327(f327(f81(x87751),x87752),x87754)),x87755),f327(f327(f80(x87751),f327(f327(f81(x87751),x87753),x87754)),x87756))+E(f327(f327(f80(x87751),f327(f327(f81(x87751),f327(f327(f23(x87751),x87752),x87753)),x87754)),x87755),x87756)
% 207.24/207.89 [8957]~P106(x89571)+E(f327(f327(f80(x89571),f327(f327(f81(x89571),x89572),x89573)),x89574),f327(f327(f80(x89571),f327(f327(f81(x89571),x89575),x89573)),x89576))+~E(x89576,f327(f327(f80(x89571),f327(f327(f81(x89571),f327(f327(f23(x89571),x89572),x89575)),x89573)),x89574))
% 207.24/207.89 [8958]~P106(x89581)+E(f327(f327(f80(x89581),f327(f327(f81(x89581),x89582),x89583)),x89584),f327(f327(f80(x89581),f327(f327(f81(x89581),x89585),x89583)),x89586))+~E(f327(f327(f80(x89581),f327(f327(f81(x89581),f327(f327(f23(x89581),x89582),x89585)),x89583)),x89584),x89586)
% 207.24/207.89 [9286]~P1(f327(f327(x92864,x92865),x92866))+~P1(f327(f327(x92863,x92865),x92866))+P1(f327(f327(f327(f327(f103(f922(x92861,f922(x92862,a910))),x92863),x92864),x92865),x92866))
% 207.24/207.89 [9545]P1(f327(f327(x95451,x95452),x95453))+P1(f327(f327(x95454,x95452),x95453))+~P1(f327(f327(f327(f327(f102(f922(x95455,f922(x95456,a910))),x95454),x95451),x95452),x95453))
% 207.24/207.89 [9839]~P111(x98391)+~P1(f327(f327(f234(x98391),f327(f327(f80(x98391),f327(f327(f81(x98391),x98394),x98395)),x98392)),f327(f327(f80(x98391),f327(f327(f81(x98391),x98393),x98395)),x98396)))+P1(f327(f327(f234(x98391),x98392),f327(f327(f80(x98391),f327(f327(f81(x98391),f327(f327(f23(x98391),x98393),x98394)),x98395)),x98396)))
% 207.24/207.89 [9840]~P111(x98401)+~P1(f327(f327(f235(x98401),f327(f327(f80(x98401),f327(f327(f81(x98401),x98404),x98405)),x98402)),f327(f327(f80(x98401),f327(f327(f81(x98401),x98403),x98405)),x98406)))+P1(f327(f327(f235(x98401),x98402),f327(f327(f80(x98401),f327(f327(f81(x98401),f327(f327(f23(x98401),x98403),x98404)),x98405)),x98406)))
% 207.24/207.89 [9863]~P111(x98631)+P1(f327(f327(f234(x98631),f327(f327(f80(x98631),f327(f327(f81(x98631),x98632),x98633)),x98634)),f327(f327(f80(x98631),f327(f327(f81(x98631),x98635),x98633)),x98636)))+~P1(f327(f327(f234(x98631),x98634),f327(f327(f80(x98631),f327(f327(f81(x98631),f327(f327(f23(x98631),x98635),x98632)),x98633)),x98636)))
% 207.24/207.89 [9864]~P111(x98641)+P1(f327(f327(f235(x98641),f327(f327(f80(x98641),f327(f327(f81(x98641),x98642),x98643)),x98644)),f327(f327(f80(x98641),f327(f327(f81(x98641),x98645),x98643)),x98646)))+~P1(f327(f327(f235(x98641),x98644),f327(f327(f80(x98641),f327(f327(f81(x98641),f327(f327(f23(x98641),x98645),x98642)),x98643)),x98646)))
% 207.24/207.89 [9967]~P111(x99671)+~P1(f327(f327(f234(x99671),f327(f327(f80(x99671),f327(f327(f81(x99671),x99672),x99674)),x99675)),f327(f327(f80(x99671),f327(f327(f81(x99671),x99673),x99674)),x99676)))+P1(f327(f327(f234(x99671),f327(f327(f80(x99671),f327(f327(f81(x99671),f327(f327(f23(x99671),x99672),x99673)),x99674)),x99675)),x99676))
% 207.24/207.89 [9968]~P111(x99681)+~P1(f327(f327(f235(x99681),f327(f327(f80(x99681),f327(f327(f81(x99681),x99682),x99684)),x99685)),f327(f327(f80(x99681),f327(f327(f81(x99681),x99683),x99684)),x99686)))+P1(f327(f327(f235(x99681),f327(f327(f80(x99681),f327(f327(f81(x99681),f327(f327(f23(x99681),x99682),x99683)),x99684)),x99685)),x99686))
% 207.24/207.89 [10015]~P111(x100151)+P1(f327(f327(f234(x100151),f327(f327(f80(x100151),f327(f327(f81(x100151),x100152),x100153)),x100154)),f327(f327(f80(x100151),f327(f327(f81(x100151),x100155),x100153)),x100156)))+~P1(f327(f327(f234(x100151),f327(f327(f80(x100151),f327(f327(f81(x100151),f327(f327(f23(x100151),x100152),x100155)),x100153)),x100154)),x100156))
% 207.24/207.89 [10016]~P111(x100161)+P1(f327(f327(f235(x100161),f327(f327(f80(x100161),f327(f327(f81(x100161),x100162),x100163)),x100164)),f327(f327(f80(x100161),f327(f327(f81(x100161),x100165),x100163)),x100166)))+~P1(f327(f327(f235(x100161),f327(f327(f80(x100161),f327(f327(f81(x100161),f327(f327(f23(x100161),x100162),x100165)),x100163)),x100164)),x100166))
% 207.24/207.89 [10189]~P68(x101892)+~P1(f327(f35(x101891),x101896))+E(f327(f327(f6(x101891,x101892),f327(f327(f18(x101891,x101892,x101892),f327(f327(f18(x101891,x101892,f922(x101892,x101892)),f327(f327(f8(a910,f922(x101892,f922(x101892,x101892)),x101891),f97(x101892)),x101893)),x101894)),x101895)),x101896),f327(f327(f80(x101892),f327(f327(f6(x101891,x101892),x101894),f327(f327(f103(f922(x101891,a910)),x101896),f327(f262(x101891),x101893)))),f327(f327(f6(x101891,x101892),x101895),f327(f327(f103(f922(x101891,a910)),x101896),f327(f79(f922(x101891,a910)),f327(f262(x101891),x101893))))))
% 207.24/207.89 [10252]P1(f327(f327(f329(x102522),x102524),x102526))+P1(f327(f327(f329(x102522),x102525),x102526))+E(f327(f311(x102521,x102522,f327(f327(f7(x102521,x102522,x102522),f327(f327(f7(x102521,x102522,f922(x102522,x102522)),f327(f327(f8(a910,f922(x102522,f922(x102522,x102522)),x102521),f97(x102522)),f327(f327(f7(x102521,f922(x102521,a910),a910),f329(x102521)),x102523))),x102524)),x102525)),x102526),f190(f922(x102521,a910)))
% 207.24/207.89 [10253]P1(f327(f327(f329(x102532),x102535),x102536))+~P1(f327(f327(f329(x102532),x102534),x102536))+E(f327(f311(x102531,x102532,f327(f327(f7(x102531,x102532,x102532),f327(f327(f7(x102531,x102532,f922(x102532,x102532)),f327(f327(f8(a910,f922(x102532,f922(x102532,x102532)),x102531),f97(x102532)),f327(f327(f7(x102531,f922(x102531,a910),a910),f329(x102531)),x102533))),x102534)),x102535)),x102536),x102533)
% 207.24/207.89 [10254]P1(f327(f327(f329(x102542),x102544),x102546))+~P1(f327(f327(f329(x102542),x102545),x102546))+E(f327(f311(x102541,x102542,f327(f327(f7(x102541,x102542,x102542),f327(f327(f7(x102541,x102542,f922(x102542,x102542)),f327(f327(f8(a910,f922(x102542,f922(x102542,x102542)),x102541),f97(x102542)),f327(f327(f7(x102541,f922(x102541,a910),a910),f329(x102541)),x102543))),x102544)),x102545)),x102546),f327(f79(f922(x102541,a910)),x102543))
% 207.24/207.89 [10255]~P1(f327(f327(f329(x102552),x102554),x102556))+~P1(f327(f327(f329(x102552),x102555),x102556))+E(f327(f311(x102551,x102552,f327(f327(f7(x102551,x102552,x102552),f327(f327(f7(x102551,x102552,f922(x102552,x102552)),f327(f327(f8(a910,f922(x102552,f922(x102552,x102552)),x102551),f97(x102552)),f327(f327(f7(x102551,f922(x102551,a910),a910),f329(x102551)),x102553))),x102554)),x102555)),x102556),f242(f922(x102551,a910)))
% 207.24/207.89 [8807]E(x88071,x88072)+~P54(x88074,x88075,x88073,x88076,x88077)+~E(f327(x88073,x88071),f327(x88073,x88072))
% 207.24/207.89 [8836]~P8(x88366,x88365,x88367,x88364,x88361)+E(f327(f327(x88361,x88362),x88363),x88364)+P1(f327(f35(x88365),x88363))
% 207.24/207.89 [9705]P40(x97051,x97052,x97053,x97054,x97055,f327(f327(x97053,x97056),x97057))+~E(f327(f327(x97053,x97056),x97057),x97054)+~E(x97055,f190(f922(x97051,a910)))
% 207.24/207.89 [9885]~P1(f327(x98856,x98853))+~P1(f327(f327(f329(f921(x98852,x98852)),f327(f327(f252(x98852,x98852),x98854),x98855)),f327(x98857,x98853)))+P1(f327(f327(f329(f921(f921(x98851,x98852),f921(x98851,x98852))),f327(f327(f252(f921(x98851,x98852),f921(x98851,x98852)),f327(f327(f252(x98851,x98852),x98853),x98854)),f327(f327(f252(x98851,x98852),x98853),x98855))),f280(x98851,x98852,x98856,x98857)))
% 207.24/207.89 [10318]~P40(x103182,x103187,x103183,x103186,x103181,f327(f327(x103183,x103185),x103184))+E(f327(f327(x103183,f510(x103184,x103185,x103181,x103186,x103183,x103187,x103182)),f524(x103184,x103185,x103181,x103186,x103183,x103187,x103182)),f327(f327(x103183,x103185),x103184))+E(x103181,f190(f922(x103182,a910)))
% 207.24/207.89 [10319]~P40(x103197,x103196,x103191,x103194,x103195,f327(f327(x103191,x103192),x103193))+E(f327(f327(x103191,f510(x103193,x103192,x103195,x103194,x103191,x103196,x103197)),f524(x103193,x103192,x103195,x103194,x103191,x103196,x103197)),f327(f327(x103191,x103192),x103193))+E(f327(f327(x103191,x103192),x103193),x103194)
% 207.24/207.89 [9382]~P32(x93821,x93822,x93823,x93825,x93827)+P32(x93821,x93822,x93823,f327(f327(f152(x93821),x93824),x93825),f327(f327(f152(x93822),x93826),x93827))+~P1(f327(f327(x93823,x93824),x93826))
% 207.24/207.89 [9400]P32(x94001,x94002,x94003,x94004,x94005)+~P32(x94001,x94002,x94003,f327(f327(f135(x94001),x94006),x94004),f327(f327(f135(x94002),x94007),x94005))+~E(f327(f191(f916(x94001)),x94006),f327(f191(f916(x94002)),x94007))
% 207.24/207.89 [9401]P32(x94011,x94012,x94013,x94014,x94015)+~P32(x94011,x94012,x94013,f327(f327(f135(x94011),x94014),x94016),f327(f327(f135(x94012),x94015),x94017))+~E(f327(f191(f916(x94011)),x94014),f327(f191(f916(x94012)),x94015))
% 207.24/207.89 [9611]~P32(x96111,x96112,x96113,x96115,x96117)+~P32(x96111,x96112,x96113,x96114,x96116)+P32(x96111,x96112,x96113,f327(f327(f135(x96111),x96114),x96115),f327(f327(f135(x96112),x96116),x96117))
% 207.24/207.89 [9960]~P1(f327(f66(x99601,x99604,x99605,x99606,x99603),x99607))+P1(f327(f66(x99601,x99604,x99605,x99606,f327(f327(f309(x99601),x99602),x99603)),f327(f327(x99605,x99602),x99607)))+P1(f327(f327(f329(x99601),x99602),x99603))
% 207.24/207.89 [10346]~P40(x103462,x103467,x103466,x103465,x103461,f327(f327(x103466,x103464),x103463))+E(x103461,f190(f922(x103462,a910)))+P1(f327(f327(f329(x103462),f510(x103463,x103464,x103461,x103465,x103466,x103467,x103462)),x103461))
% 207.24/207.89 [10347]~P40(x103475,x103477,x103471,x103474,x103476,f327(f327(x103471,x103472),x103473))+E(f327(f327(x103471,x103472),x103473),x103474)+P1(f327(f327(f329(x103475),f510(x103473,x103472,x103476,x103474,x103471,x103477,x103475)),x103476))
% 207.24/207.89 [10436]E(f327(f327(f252(x104361,x104362),x104363),x104364),f327(f327(f252(x104361,x104362),x104365),x104366))+P1(f327(f327(f329(f921(f921(x104361,x104362),f921(x104361,x104362))),f327(f327(f252(f921(x104361,x104362),f921(x104361,x104362)),f327(f327(f252(x104361,x104362),f841(x104367,x104364,x104363,x104366,x104365,x104362,x104361)),f842(x104367,x104364,x104363,x104366,x104365,x104362,x104361))),f327(f327(f252(x104361,x104362),x104363),x104364))),f307(f921(x104361,x104362),x104367)))+~P1(f327(f327(f329(f921(f921(x104361,x104362),f921(x104361,x104362))),f327(f327(f252(f921(x104361,x104362),f921(x104361,x104362)),f327(f327(f252(x104361,x104362),x104365),x104366)),f327(f327(f252(x104361,x104362),x104363),x104364))),f307(f921(x104361,x104362),x104367)))
% 207.24/207.89 [9077]~P19(x90774,x90775,x90776,x90777,x90771)+~P1(f327(f35(x90775),x90773))+E(f327(f327(x90771,x90772),x90773),f327(f327(f327(f65(x90774,x90775,x90776),x90772),x90777),x90773))
% 207.24/207.89 [9078]~P8(x90784,x90785,x90786,x90787,x90781)+~P1(f327(f35(x90785),x90783))+E(f327(f327(x90781,x90782),x90783),f327(f327(f327(f65(x90784,x90785,x90786),x90782),x90787),x90783))
% 207.24/207.89 [9669]~P22(x96691,x96692,f327(f327(f309(f913(x96691)),f327(f327(f327(f91(x96691),x96693),x96694),x96697)),f190(f922(f913(x96691),a910))))+P22(x96691,x96692,f327(f327(f309(f913(x96691)),f327(f327(f327(f91(x96691),x96693),f30(x96694,x96695)),x96696)),f190(f922(f913(x96691),a910))))+~P22(x96691,x96692,f327(f327(f309(f913(x96691)),f327(f327(f327(f91(x96691),x96697),x96695),x96696)),f190(f922(f913(x96691),a910))))
% 207.24/207.89 [9858]~P21(x98583,x98584,x98585,x98587,x98586,x98581)+~P1(f327(f35(x98584),x98582))+E(f327(x98581,x98582),f327(f327(f327(f65(x98583,x98584,x98585),x98586),x98587),x98582))
% 207.24/207.89 [10010]P40(x100101,x100102,x100103,x100104,x100105,f327(f327(x100103,x100106),x100107))+~P40(x100101,x100102,x100103,x100104,f327(f327(f23(f922(x100101,a910)),x100105),f327(f327(f309(x100101),x100106),f190(f922(x100101,a910)))),x100107)+~P1(f327(f327(f329(x100101),x100106),x100105))
% 207.24/207.89 [10286]~P22(x102861,x102862,f327(f327(f309(f913(x102861)),f327(f327(f327(f91(x102861),f93(x102861,x102863,x102864)),x102865),x102867)),f190(f922(f913(x102861),a910))))+P22(x102861,x102862,f327(f327(f309(f913(x102861)),f327(f327(f327(f91(x102861),x102863),f27(x102864,x102865,x102866)),x102867)),f190(f922(f913(x102861),a910))))+~P22(x102861,x102862,f327(f327(f309(f913(x102861)),f327(f327(f327(f91(x102861),f93(x102861,x102863,f327(f72(a910,a910,a911,a322),x102864))),x102866),x102867)),f190(f922(f913(x102861),a910))))
% 207.24/207.89 [10370]P1(f327(f327(x103707,f785(x103704,x103705,x103701,x103706,x103703,x103702,x103707)),f786(x103704,x103705,x103701,x103706,x103703,x103702,x103707)))+~P1(f327(f327(x103707,f327(f256(x103702,x103703),x103706)),f327(f251(x103702,x103703),x103706)))+P1(f327(x103701,f327(f327(f257(x103702,x103703,x103704),x103705),x103706)))
% 207.24/207.89 [10380]~P40(x103802,x103803,x103804,x103805,x103801,f327(f327(x103804,x103807),x103806))+P40(x103802,x103803,x103804,x103805,f327(f327(f23(f922(x103802,a910)),x103801),f327(f327(f309(x103802),f510(x103806,x103807,x103801,x103805,x103804,x103803,x103802)),f190(f922(x103802,a910)))),f524(x103806,x103807,x103801,x103805,x103804,x103803,x103802))+E(x103801,f190(f922(x103802,a910)))
% 207.24/207.89 [10381]~P40(x103815,x103816,x103811,x103814,x103817,f327(f327(x103811,x103812),x103813))+P40(x103815,x103816,x103811,x103814,f327(f327(f23(f922(x103815,a910)),x103817),f327(f327(f309(x103815),f510(x103813,x103812,x103817,x103814,x103811,x103816,x103815)),f190(f922(x103815,a910)))),f524(x103813,x103812,x103817,x103814,x103811,x103816,x103815))+E(f327(f327(x103811,x103812),x103813),x103814)
% 207.24/207.89 [10403]~P1(f327(x104031,f327(f327(x104035,f786(x104034,x104035,x104031,x104036,x104033,x104032,x104037)),f785(x104034,x104035,x104031,x104036,x104033,x104032,x104037))))+~P1(f327(f327(x104037,f327(f256(x104032,x104033),x104036)),f327(f251(x104032,x104033),x104036)))+P1(f327(x104031,f327(f327(f257(x104032,x104033,x104034),x104035),x104036)))
% 207.24/207.89 [9690]P1(f327(f327(f234(f922(f921(x96901,x96902),a910)),f327(f327(f289(x96901,x96903,x96902),x96904),x96905)),f327(f327(f289(x96901,x96903,x96902),x96906),x96907)))+~P1(f327(f327(f234(f922(f921(x96903,x96902),a910)),x96905),x96907))+~P1(f327(f327(f234(f922(f921(x96901,x96903),a910)),x96904),x96906))
% 207.24/207.89 [10430]E(f327(f327(f252(x104301,x104302),x104303),x104304),f327(f327(f252(x104301,x104302),x104305),x104306))+~P1(f327(f327(f329(f921(f921(x104301,x104302),f921(x104301,x104302))),f327(f327(f252(f921(x104301,x104302),f921(x104301,x104302)),f327(f327(f252(x104301,x104302),x104303),x104304)),f327(f327(f252(x104301,x104302),x104305),x104306))),f307(f921(x104301,x104302),x104307)))+P1(f327(f327(f329(f921(f921(x104301,x104302),f921(x104301,x104302))),f327(f327(f252(f921(x104301,x104302),f921(x104301,x104302)),f327(f327(f252(x104301,x104302),x104303),x104304)),f327(f327(f252(x104301,x104302),f841(x104307,x104306,x104305,x104304,x104303,x104302,x104301)),f842(x104307,x104306,x104305,x104304,x104303,x104302,x104301)))),x104307))
% 207.24/207.89 [10021]~P1(f327(f327(f329(x100211),x100216),x100215))+P1(f327(f66(x100211,x100212,x100213,x100214,x100215),f327(f327(x100213,x100216),x100217)))+~P1(f327(f66(x100211,x100212,x100213,x100214,f327(f327(f23(f922(x100211,a910)),x100215),f327(f327(f309(x100211),x100216),f190(f922(x100211,a910))))),x100217))
% 207.24/207.89 [10443]~P139(x104431)+~P23(f921(x104432,x104433),x104431,f327(f257(x104432,x104433,x104431),f327(f327(f7(x104432,f922(x104433,x104431),f922(x104433,x104431)),f327(f327(f8(f922(x104431,x104431),f922(f922(x104433,x104431),f922(x104433,x104431)),x104432),f8(x104431,x104431,x104433)),f327(f327(f8(x104431,f922(x104431,x104431),x104432),f81(x104431)),x104434))),x104435)),f327(f327(f254(x104432,x104433),x104436),f327(f16(f922(x104433,a910),x104432),x104437)))+E(f327(f327(f6(x104431,x104431),f31(x104431)),f327(f262(x104431),f327(f327(f8(f922(x104432,a910),a910,x104431),f87(x104432)),f327(f327(f8(f922(x104432,f922(x104433,a910)),f922(x104432,a910),x104431),f327(f8(f922(x104433,a910),a910,x104432),f87(x104433))),f327(f327(f7(x104431,f922(x104432,f922(x104433,a910)),f922(x104432,f922(x104433,a910))),f327(f327(f8(f922(x104432,f922(f922(x104433,a910),f922(x104433,a910))),f922(f922(x104432,f922(x104433,a910)),f922(x104432,f922(x104433,a910))),x104431),f18(x104432,f922(x104433,a910),f922(x104433,a910))),f327(f327(f8(f922(x104432,f922(x104433,f922(a910,a910))),f922(x104432,f922(f922(x104433,a910),f922(x104433,a910))),x104431),f327(f8(f922(x104433,f922(a910,a910)),f922(f922(x104433,a910),f922(x104433,a910)),x104432),f18(x104433,a910,a910))),f327(f327(f8(f922(x104432,f922(x104433,a910)),f922(x104432,f922(x104433,f922(a910,a910))),x104431),f327(f8(f922(x104433,a910),f922(x104433,f922(a910,a910)),x104432),f327(f8(a910,f922(a910,a910),x104433),a325))),f327(f327(f7(x104431,f922(x104432,f922(x104433,x104431)),f922(x104432,f922(x104433,a910))),f327(f327(f8(f922(f922(x104433,x104431),f922(x104433,a910)),f922(f922(x104432,f922(x104433,x104431)),f922(x104432,f922(x104433,a910))),x104431),f8(f922(x104433,x104431),f922(x104433,a910),x104432)),f327(f327(f8(f922(x104431,a910),f922(f922(x104433,x104431),f922(x104433,a910)),x104431),f8(x104431,a910,x104433)),a324))),f327(f327(f7(x104432,f922(x104433,x104431),f922(x104433,x104431)),f327(f327(f8(f922(x104431,x104431),f922(f922(x104433,x104431),f922(x104433,x104431)),x104432),f8(x104431,x104431,x104433)),f327(f327(f8(x104431,f922(x104431,x104431),x104432),f81(x104431)),x104434))),x104435)))))),f327(f327(f7(x104432,f922(x104433,a910),f922(x104433,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x104433,a910),f922(x104433,a910)),x104432),f8(a910,a910,x104433)),f327(f327(f8(a910,f922(a910,a910),x104432),a325),f327(f327(f7(x104432,f922(x104432,a910),a910),f329(x104432)),x104436)))),f327(f327(f7(x104433,f922(x104433,a910),a910),f329(x104433)),x104437))))))),f327(f327(f81(x104431),f327(f327(f6(x104432,x104431),x104434),x104436)),f327(f327(f6(x104433,x104431),x104435),x104437)))
% 207.24/207.89 [9694]~P24(x96941,x96943,x96945,x96946,x96948)+~P24(x96943,x96942,x96944,x96948,x96947)+P24(x96941,x96942,f327(f72(x96943,x96942,x96941,x96944),x96945),x96946,x96947)
% 207.24/207.89 [9724]P24(x97241,x97242,x97243,x97244,x97245)+~P24(x97246,x97241,x97247,x97248,x97244)+~P24(x97246,x97242,f327(f72(x97241,x97242,x97246,x97243),x97247),x97248,x97245)
% 207.24/207.89 [9856]~P1(f327(f327(x98564,x98566),x98568))+~P1(f327(f327(x98565,x98568),x98567))+P1(f327(f327(f253(x98561,x98562,x98563,x98564,x98565),x98566),x98567))
% 207.24/207.89 [9452]~P17(x94528,x94521,x94523,x94525)+~P1(f327(f35(x94528),x94526))+E(f327(f72(x94521,x94521,x94522,f327(x94523,x94524)),f327(f72(x94521,x94521,x94522,f327(x94525,x94526)),x94527)),f327(f72(x94521,x94521,x94522,f327(x94525,x94526)),f327(f72(x94521,x94521,x94522,f327(x94523,x94524)),x94527)))
% 207.24/207.89 [9846]~P20(x98467,x98462,x98465,x98468,x98466,x98461)+~P1(f327(f35(x98462),x98464))+E(f327(x98461,f327(f327(f309(x98462),x98463),x98464)),f327(f327(x98465,f327(x98466,x98463)),f327(x98461,x98464)))
% 207.24/207.89 [9965]~P23(x99652,x99654,x99656,x99658)+~P23(x99651,x99653,x99655,x99657)+P23(f921(x99651,x99652),f921(x99653,x99654),f258(x99651,x99653,x99652,x99654,x99655,x99656),f327(f327(f254(x99651,x99652),x99657),f327(f16(f922(x99652,a910),x99651),x99658)))
% 207.24/207.89 [9637]P1(f327(f327(f329(f921(x96371,x96372)),f327(f327(f252(x96371,x96372),x96373),x96374)),f327(f327(f289(x96371,x96375,x96372),x96376),x96377)))+~P1(f327(f327(f329(f921(x96371,x96375)),f327(f327(f252(x96371,x96375),x96373),x96378)),x96376))+~P1(f327(f327(f329(f921(x96375,x96372)),f327(f327(f252(x96375,x96372),x96378),x96374)),x96377))
% 207.24/207.89 [9827]~P1(f327(f327(f234(f922(f921(x98273,x98272),a910)),x98275),f327(f327(f254(x98273,x98272),x98278),f327(f16(f922(x98272,a910),x98273),x98277))))+~P1(f327(f327(f234(f922(f921(x98271,x98273),a910)),x98274),f327(f327(f254(x98271,x98273),x98276),f327(f16(f922(x98273,a910),x98271),x98278))))+P1(f327(f327(f234(f922(f921(x98271,x98272),a910)),f327(f327(f289(x98271,x98273,x98272),x98274),x98275)),f327(f327(f254(x98271,x98272),x98276),f327(f16(f922(x98272,a910),x98271),x98277))))
% 207.24/207.89 [9880]~E(x98803,x98805)+P1(f327(f327(f329(f921(f921(x98801,x98802),f921(x98801,x98802))),f327(f327(f252(f921(x98801,x98802),f921(x98801,x98802)),f327(f327(f252(x98801,x98802),x98803),x98804)),f327(f327(f252(x98801,x98802),x98805),x98806))),f320(x98801,x98802,x98807,x98808)))+~P1(f327(f327(f329(f921(x98802,x98802)),f327(f327(f252(x98802,x98802),x98804),x98806)),x98808))
% 207.24/207.89 [9984]E(x99841,x99842)+~P1(f327(f327(f329(f921(f921(x99843,x99845),f921(x99843,x99845))),f327(f327(f252(f921(x99843,x99845),f921(x99843,x99845)),f327(f327(f252(x99843,x99845),x99841),x99846)),f327(f327(f252(x99843,x99845),x99842),x99847))),f320(x99843,x99845,x99844,x99848)))+P1(f327(f327(f329(f921(x99843,x99843)),f327(f327(f252(x99843,x99843),x99841),x99842)),x99844))
% 207.24/207.89 [10000]~P1(f327(f327(f329(f921(f921(x100001,x100005),f921(x100001,x100005))),f327(f327(f252(f921(x100001,x100005),f921(x100001,x100005)),f327(f327(f252(x100001,x100005),x100002),x100006)),f327(f327(f252(x100001,x100005),x100003),x100007))),f320(x100001,x100005,x100004,x100008)))+P1(f327(f327(f329(f921(x100001,x100001)),f327(f327(f252(x100001,x100001),x100002),x100003)),x100004))+P1(f327(f327(f329(f921(x100005,x100005)),f327(f327(f252(x100005,x100005),x100006),x100007)),x100008))
% 207.24/207.89 [9916]~P21(x99167,x99165,x99161,x99168,x99162,x99164)+~P1(f327(f35(x99165),x99166))+E(f327(f327(x99161,f327(x99162,x99163)),f327(x99164,f327(f327(f23(f922(x99165,a910)),x99166),f327(f327(f309(x99165),x99163),f190(f922(x99165,a910)))))),f327(x99164,f327(f327(f309(x99165),x99163),x99166)))
% 207.24/207.89 [9406]~P1(f327(f327(f327(x94065,x94068),x94066),x94067))+~P1(f327(f327(f329(x94061),x94068),x94064))+P1(f327(f327(f327(f327(f40(x94061,f922(x94062,f922(x94063,a910))),x94064),x94065),x94066),x94067))
% 207.24/207.89 [9622]P1(f327(f327(f327(x96221,x96222),x96223),x96224))+~P1(f327(f327(f329(x96225),x96222),x96226))+~P1(f327(f327(f327(f327(f41(x96225,f922(x96227,f922(x96228,a910))),x96226),x96221),x96223),x96224))
% 207.24/207.89 [9820]~P19(x98203,x98202,x98204,x98208,x98201)+~P1(f327(f35(x98202),x98207))+E(f327(f327(x98201,f327(f327(f18(x98202,x98203,x98203),f327(f327(f8(x98203,f922(x98203,x98203),x98202),x98204),x98205)),x98206)),x98207),f327(f327(x98204,f327(f327(x98201,x98205),x98207)),f327(f327(x98201,x98206),x98207)))
% 207.24/207.89 [10086]~E(f327(f310(x100862,x100864,x100866),x100868),x1008610)+~E(f327(f310(x100861,x100863,x100865),x100867),x100869)+E(f327(f310(f921(x100861,x100862),f921(x100863,x100864),f258(x100861,x100863,x100862,x100864,x100865,x100866)),f327(f327(f254(x100861,x100862),x100867),f327(f16(f922(x100862,a910),x100861),x100868))),f327(f327(f254(x100863,x100864),x100869),f327(f16(f922(x100864,a910),x100863),x1008610)))
% 207.24/207.89 [5045]~P41(x50451,x50452)+~P47(x50451,x50452)+~P48(x50451,x50452)+P5(x50451,x50452)
% 207.24/207.89 [5001]~P108(x50012)+~P11(x50012,x50011)+P11(x50012,f115(x50012,x50011))+E(x50011,f114(x50012))
% 207.24/207.89 [5002]~P108(x50022)+~P11(x50022,x50021)+P11(x50022,f703(x50021,x50022))+E(x50021,f114(x50022))
% 207.24/207.89 [5244]~P3(x52442)+E(f10(x52442,x52441),f39(x52442,x52441))+E(x52441,f190(f922(x52442,a910)))+~P1(f327(f35(x52442),x52441))
% 207.24/207.89 [5245]~P3(x52452)+E(f13(x52452,x52451),f38(x52452,x52451))+E(x52451,f190(f922(x52452,a910)))+~P1(f327(f35(x52452),x52451))
% 207.24/207.89 [5400]~P108(x54002)+~P11(x54002,x54001)+E(x54001,f114(x54002))+E(f327(f327(f152(x54002),f722(x54001,x54002)),f703(x54001,x54002)),x54001)
% 207.24/207.89 [6217]~P96(x62172)+E(x62171,f190(f922(x62172,a910)))+P1(f327(f327(f234(x62172),f10(x62172,x62171)),f13(x62172,x62171)))+~P1(f327(f35(x62172),x62171))
% 207.24/207.89 [6231]~P38(x62312)+~P38(x62311)+E(x62311,x62312)+~E(f327(f310(a1,a915,a106),x62311),f327(f310(a1,a915,a106),x62312))
% 207.24/207.89 [9265]~P119(x92651)+~P1(f327(f327(f329(x92651),x92652),f111(x92651)))+P1(f327(f327(f235(x92651),f327(f327(f80(x92651),f327(f327(f80(x92651),f78(x92651)),x92652)),x92652)),f2(x92651)))+~P1(f327(f327(f235(x92651),x92652),f2(x92651)))
% 207.24/207.89 [9505]~P119(x95051)+~P1(f327(f327(f329(x95051),x95052),f111(x95051)))+~P1(f327(f327(f235(x95051),f327(f327(f80(x95051),f327(f327(f80(x95051),f78(x95051)),x95052)),x95052)),f2(x95051)))+P1(f327(f327(f235(x95051),x95052),f2(x95051)))
% 207.24/207.89 [5060]~P139(x50602)+~P116(x50602)+E(x50601,f2(a915))+E(f327(f327(f244(x50602),f2(x50602)),x50601),f2(x50602))
% 207.24/207.89 [5063]~P139(x50631)+~P116(x50631)+~E(x50632,f2(a915))+E(f327(f327(f244(x50631),f2(x50631)),x50632),f78(x50631))
% 207.24/207.89 [5230]~P141(x52302)+E(x52301,f78(x52302))+E(x52301,f327(f79(x52302),f78(x52302)))+~E(f327(f327(f81(x52302),x52301),x52301),f78(x52302))
% 207.24/207.89 [5481]~P89(x54812)+E(x54811,f2(x54812))+E(f82(x54812,x54811),f327(f79(x54812),f78(x54812)))+P1(f327(f327(f235(x54812),f2(x54812)),x54811))
% 207.24/207.89 [5724]~P89(x57242)+E(f82(x57242,x57241),f78(x57242))+E(x57241,f2(x57242))+~P1(f327(f327(f235(x57242),f2(x57242)),x57241))
% 207.24/207.89 [5733]E(x57331,x57332)+~E(f327(f105(a915),x57331),f327(f105(a915),x57332))+P1(f327(a195,f327(f105(a1),x57332)))+P1(f327(a195,f327(f105(a1),x57331)))
% 207.24/207.89 [5784]~P92(x57841)+~E(x57842,f2(x57841))+E(f327(f327(f80(x57841),x57842),x57842),f2(x57841))+~P1(f327(f327(f329(x57841),x57842),f111(x57841)))
% 207.24/207.89 [5823]E(x58231,f2(a1))+~E(f327(f327(f37(a1),x58232),x58231),f2(a1))+P1(f327(f327(f235(a1),x58231),x58232))+P1(f327(f327(f235(a1),x58232),x58231))
% 207.24/207.89 [5853]E(x58531,f2(a1))+~E(f327(f327(f37(a1),x58532),x58531),f2(a1))+P1(f327(f327(f234(a1),x58532),f2(a1)))+P1(f327(f327(f235(a1),x58532),x58531))
% 207.24/207.89 [5887]E(x58871,f2(a1))+~E(f327(f327(f37(a1),x58872),x58871),f2(a1))+P1(f327(f327(f234(a1),f2(a1)),x58872))+P1(f327(f327(f235(a1),x58871),x58872))
% 207.24/207.89 [5922]~P92(x59222)+E(x59221,f2(x59222))+~E(f327(f327(f80(x59222),x59221),x59221),f2(x59222))+~P1(f327(f327(f329(x59222),x59221),f111(x59222)))
% 207.24/207.89 [5984]E(f327(f105(a915),x59841),f327(f105(a915),x59842))+~E(f327(f105(a1),x59842),f2(a1))+P1(f327(a195,f327(f105(a1),x59842)))+~P1(f327(a195,f327(f105(a1),x59841)))
% 207.24/207.89 [6013]~E(f327(f105(a915),x60132),f327(f105(a915),x60131))+E(f327(f105(a1),x60131),f2(a1))+P1(f327(a195,f327(f105(a1),x60131)))+~P1(f327(a195,f327(f105(a1),x60132)))
% 207.24/207.89 [6023]~P108(x60232)+E(x60231,f190(f922(x60232,a910)))+~P1(f327(f35(x60232),x60231))+P1(f327(f327(f329(x60232),f14(x60232,x60231)),x60231))
% 207.24/207.89 [6024]~P108(x60242)+E(x60241,f190(f922(x60242,a910)))+~P1(f327(f35(x60242),x60241))+P1(f327(f327(f329(x60242),f15(x60242,x60241)),x60241))
% 207.24/207.89 [6194]~P119(x61941)+~P93(x61941)+P1(f327(f327(f234(x61941),f2(x61941)),f327(f105(x61941),x61942)))+~P1(f327(f327(f234(a1),a83),x61942))
% 207.24/207.89 [6195]~P119(x61951)+~P93(x61951)+P1(f327(f327(f235(x61951),f2(x61951)),f327(f105(x61951),x61952)))+~P1(f327(f327(f235(a1),a83),x61952))
% 207.24/207.89 [6216]~P119(x62161)+~P93(x62161)+E(f327(f75(x62161),f327(f105(x62161),x62162)),f327(f105(x62161),x62162))+P1(f327(f327(f235(x62161),f327(f105(x62161),x62162)),f2(x62161)))
% 207.24/207.89 [6255]E(x62551,x62552)+~E(f327(a106,x62551),f327(a106,x62552))+~P1(f327(f327(f234(a1),f2(a1)),x62552))+~P1(f327(f327(f234(a1),f2(a1)),x62551))
% 207.24/207.89 [6453]~P93(x64532)+~P119(x64532)+~P1(f327(f327(f234(x64532),f2(x64532)),f327(f105(x64532),x64531)))+P1(f327(f327(f234(a1),a83),x64531))
% 207.24/207.89 [6454]~P93(x64542)+~P119(x64542)+~P1(f327(f327(f235(x64542),f2(x64542)),f327(f105(x64542),x64541)))+P1(f327(f327(f235(a1),a83),x64541))
% 207.24/207.89 [6459]~P119(x64591)+~P93(x64591)+P1(f327(f327(f234(x64591),f327(f105(x64591),x64592)),f2(x64591)))+~P1(f327(f327(f234(a1),x64592),a83))
% 207.24/207.89 [6460]~P119(x64601)+~P93(x64601)+P1(f327(f327(f235(x64601),f327(f105(x64601),x64602)),f2(x64601)))+~P1(f327(f327(f235(a1),x64602),a83))
% 207.24/207.89 [6776]~P93(x67762)+~P119(x67762)+~P1(f327(f327(f234(x67762),f327(f105(x67762),x67761)),f2(x67762)))+P1(f327(f327(f234(a1),x67761),a83))
% 207.24/207.89 [6777]~P93(x67772)+~P119(x67772)+~P1(f327(f327(f235(x67772),f327(f105(x67772),x67771)),f2(x67772)))+P1(f327(f327(f235(a1),x67771),a83))
% 207.24/207.89 [6869]~P119(x68691)+~P93(x68691)+E(f327(f75(x68691),f327(f105(x68691),x68692)),f327(f79(x68691),f327(f105(x68691),x68692)))+~P1(f327(f327(f235(x68691),f327(f105(x68691),x68692)),f2(x68691)))
% 207.24/207.89 [6887]E(f327(f105(a915),x68871),f327(f105(a915),x68872))+~E(f327(f105(a1),x68872),f2(a1))+~P1(f327(f327(f234(a1),f327(f105(a1),x68871)),f2(a1)))+~P1(f327(a195,f327(f105(a1),x68871)))
% 207.24/207.89 [7767]~P108(x77672)+E(x77671,f190(f922(x77672,a910)))+~P1(f327(f35(x77672),x77671))+P1(f327(f327(f234(x77672),f12(x77672,f238(x77672),x77671)),f11(x77672,f189(x77672),x77671)))
% 207.24/207.89 [8084]~P38(x80842)+~P4(x80841)+P1(f327(f327(f329(a1),x80841),x80842))+~P1(f327(f327(f329(a915),f327(a106,x80841)),f327(f310(a1,a915,a106),x80842)))
% 207.24/207.89 [6019]~P142(x60192)+E(x60191,f2(a1))+E(f327(f79(x60192),f327(f104(x60192),f327(f79(a1),x60191))),f327(f104(x60192),x60191))+~P1(f327(f327(f235(a1),x60191),f2(a1)))
% 207.24/207.89 [6097]~P92(x60971)+~P93(x60971)+~P26(x60971,f327(f105(x60971),x60972))+P26(x60971,f327(f105(x60971),f327(f327(f80(a1),x60972),x60972)))
% 207.24/207.89 [6442]~P76(x64422)+E(x64421,f190(f922(x64422,a910)))+E(f15(x64422,f327(f310(x64422,x64422,f79(x64422)),x64421)),f327(f79(x64422),f14(x64422,x64421)))+~P1(f327(f35(x64422),x64421))
% 207.24/207.89 [6443]~P76(x64432)+E(x64431,f190(f922(x64432,a910)))+E(f14(x64432,f327(f310(x64432,x64432,f79(x64432)),x64431)),f327(f79(x64432),f15(x64432,x64431)))+~P1(f327(f35(x64432),x64431))
% 207.24/207.89 [6476]~P92(x64761)+~P93(x64761)+P26(x64761,f327(f105(x64761),x64762))+~P26(x64761,f327(f105(x64761),f327(f327(f80(a1),x64762),x64762)))
% 207.24/207.89 [6569]E(x65691,f2(a1))+E(f327(a52,f51(f327(f79(a1),x65691),f327(f79(a1),x65692))),f47(x65691,x65692))+P1(f327(f327(f234(a1),f2(a1)),x65692))+~P1(f327(f327(f234(a1),f2(a1)),x65691))
% 207.24/207.89 [8864]~P38(x88642)+~P38(x88641)+P1(f327(f327(f235(f922(a915,a910)),f327(f310(a1,a915,a106),x88641)),f327(f310(a1,a915,a106),x88642)))+~P1(f327(f327(f235(f922(a1,a910)),x88641),x88642))
% 207.24/207.89 [9097]~E(f725(x90972,x90971),f726(x90972,x90971))+~P1(f327(f138(x90971),f727(x90972,x90971)))+~P1(f327(f138(f916(x90971)),x90972))+P1(f327(f138(x90971),f327(f143(f916(x90971),f916(x90971),f135(x90971),f114(x90971)),x90972)))
% 207.24/207.89 [9185]~P38(x91852)+~P38(x91851)+~P1(f327(f327(f234(f922(a915,a910)),f327(f310(a1,a915,a106),x91851)),f327(f310(a1,a915,a106),x91852)))+P1(f327(f327(f234(f922(a1,a910)),x91851),x91852))
% 207.24/207.89 [9186]~P38(x91862)+~P38(x91861)+~P1(f327(f327(f235(f922(a915,a910)),f327(f310(a1,a915,a106),x91861)),f327(f310(a1,a915,a106),x91862)))+P1(f327(f327(f235(f922(a1,a910)),x91861),x91862))
% 207.24/207.89 [9192]~E(f725(x91922,x91921),f726(x91922,x91921))+~P1(f327(f138(f916(x91921)),x91922))+P1(f327(f138(x91921),f327(f143(f916(x91921),f916(x91921),f135(x91921),f114(x91921)),x91922)))+P1(f327(f327(f329(f916(x91921)),f727(x91922,x91921)),f327(f173(f916(x91921)),x91922)))
% 207.24/207.89 [9233]~P1(f327(f138(x92331),f727(x92332,x92331)))+~P1(f327(f138(f916(x92331)),x92332))+P1(f327(f138(x92331),f327(f143(f916(x92331),f916(x92331),f135(x92331),f114(x92331)),x92332)))+P1(f327(f327(f329(f916(x92331)),f726(x92332,x92331)),f327(f173(f916(x92331)),x92332)))
% 207.24/207.89 [9234]~P1(f327(f138(x92341),f727(x92342,x92341)))+~P1(f327(f138(f916(x92341)),x92342))+P1(f327(f138(x92341),f327(f143(f916(x92341),f916(x92341),f135(x92341),f114(x92341)),x92342)))+P1(f327(f327(f329(f916(x92341)),f725(x92342,x92341)),f327(f173(f916(x92341)),x92342)))
% 207.24/207.89 [9311]~P1(f327(f138(f916(x93111)),x93112))+P1(f327(f138(x93111),f327(f143(f916(x93111),f916(x93111),f135(x93111),f114(x93111)),x93112)))+P1(f327(f327(f329(f916(x93111)),f726(x93112,x93111)),f327(f173(f916(x93111)),x93112)))+P1(f327(f327(f329(f916(x93111)),f727(x93112,x93111)),f327(f173(f916(x93111)),x93112)))
% 207.24/207.89 [9312]~P1(f327(f138(f916(x93121)),x93122))+P1(f327(f138(x93121),f327(f143(f916(x93121),f916(x93121),f135(x93121),f114(x93121)),x93122)))+P1(f327(f327(f329(f916(x93121)),f725(x93122,x93121)),f327(f173(f916(x93121)),x93122)))+P1(f327(f327(f329(f916(x93121)),f727(x93122,x93121)),f327(f173(f916(x93121)),x93122)))
% 207.24/207.89 [9326]~E(f327(f327(f103(f922(x93261,a910)),f327(f173(x93261),f726(x93262,x93261))),f327(f173(x93261),f725(x93262,x93261))),f190(f922(x93261,a910)))+~P1(f327(f138(x93261),f727(x93262,x93261)))+~P1(f327(f138(f916(x93261)),x93262))+P1(f327(f138(x93261),f327(f143(f916(x93261),f916(x93261),f135(x93261),f114(x93261)),x93262)))
% 207.24/207.89 [9388]~E(f327(f327(f103(f922(x93881,a910)),f327(f173(x93881),f726(x93882,x93881))),f327(f173(x93881),f725(x93882,x93881))),f190(f922(x93881,a910)))+~P1(f327(f138(f916(x93881)),x93882))+P1(f327(f138(x93881),f327(f143(f916(x93881),f916(x93881),f135(x93881),f114(x93881)),x93882)))+P1(f327(f327(f329(f916(x93881)),f727(x93882,x93881)),f327(f173(f916(x93881)),x93882)))
% 207.24/207.89 [9662]E(x96621,f2(a1))+E(x96622,f2(a1))+E(f327(f327(f86(a1,f921(a1,a1)),f327(f327(a219,x96622),x96621)),f327(f327(f18(a1,a1,f921(a1,a1)),f327(f327(f8(a1,f922(a1,f921(a1,a1)),a1),f252(a1,a1)),f327(f37(a1),x96622))),f327(f37(a1),x96621))),f217(x96622,x96621))+P1(f327(f327(f235(a1),x96621),f2(a1)))
% 207.24/207.89 [8410]~P93(x84102)+~P119(x84102)+~P1(f327(f327(f234(x84102),f327(f105(x84102),x84101)),f78(x84102)))+P1(f327(f327(f234(a1),x84101),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))
% 207.24/207.89 [8411]~P93(x84112)+~P119(x84112)+~P1(f327(f327(f235(x84112),f327(f105(x84112),x84111)),f78(x84112)))+P1(f327(f327(f235(a1),x84111),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))
% 207.24/207.89 [8680]~P119(x86801)+~P93(x86801)+P1(f327(f327(f234(x86801),f327(f105(x86801),x86802)),f78(x86801)))+~P1(f327(f327(f234(a1),x86802),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))
% 207.24/207.89 [8681]~P119(x86811)+~P93(x86811)+P1(f327(f327(f235(x86811),f327(f105(x86811),x86812)),f78(x86811)))+~P1(f327(f327(f235(a1),x86812),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))
% 207.24/207.89 [8892]~P93(x88922)+~P119(x88922)+~P1(f327(f327(f234(x88922),f78(x88922)),f327(f105(x88922),x88921)))+P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),x88921))
% 207.24/207.89 [8893]~P93(x88932)+~P119(x88932)+~P1(f327(f327(f235(x88932),f78(x88932)),f327(f105(x88932),x88931)))+P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),x88931))
% 207.24/207.89 [9271]~P119(x92711)+~P93(x92711)+P1(f327(f327(f234(x92711),f78(x92711)),f327(f105(x92711),x92712)))+~P1(f327(f327(f234(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),x92712))
% 207.24/207.89 [9272]~P119(x92721)+~P93(x92721)+P1(f327(f327(f235(x92721),f78(x92721)),f327(f105(x92721),x92722)))+~P1(f327(f327(f235(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),x92722))
% 207.24/207.89 [9793]~P141(x97932)+E(x97931,f78(x97932))+E(x97931,f327(f79(x97932),f78(x97932)))+~E(f327(f327(f244(x97932),x97931),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f78(x97932))
% 207.24/207.89 [10062]~P63(x100621)+~P93(x100621)+~P1(f327(f327(f235(x100621),f2(x100621)),x100622))+P1(f327(f327(f235(x100621),f2(x100621)),f327(f327(f291(x100621),x100622),f327(f105(x100621),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 207.24/207.89 [10115]~P63(x101151)+~P93(x101151)+P1(f327(f327(f235(x101151),f2(x101151)),x101152))+~P1(f327(f327(f235(x101151),f2(x101151)),f327(f327(f291(x101151),x101152),f327(f105(x101151),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 207.24/207.89 [10410]~P142(x104102)+E(x104101,f2(a1))+P1(f327(f327(f235(a1),x104101),f2(a1)))+E(f327(f327(f257(a1,a1,x104102),f327(f327(f7(a1,f922(a1,f922(x104102,x104102)),f922(a1,x104102)),f327(f327(f8(f922(f922(x104102,x104102),x104102),f922(f922(a1,f922(x104102,x104102)),f922(a1,x104102)),a1),f8(f922(x104102,x104102),x104102,a1)),f327(f327(f8(x104102,f922(f922(x104102,x104102),x104102),a1),f86(x104102,x104102)),f104(x104102)))),f327(f327(f7(a1,f922(x104102,x104102),f922(x104102,x104102)),f327(f327(f8(f922(x104102,f922(x104102,x104102)),f922(f922(x104102,x104102),f922(x104102,x104102)),a1),f18(x104102,x104102,x104102)),f327(f327(f7(a1,f922(x104102,x104102),f922(x104102,f922(x104102,x104102))),f327(f327(f8(f922(x104102,f922(x104102,x104102)),f922(f922(x104102,x104102),f922(x104102,f922(x104102,x104102))),a1),f8(x104102,f922(x104102,x104102),x104102)),f327(f327(f8(a910,f922(x104102,f922(x104102,x104102)),a1),f97(x104102)),f327(f327(f7(a1,a1,a910),a324),f2(a1))))),f327(f327(f18(x104102,x104102,x104102),f80(x104102)),f5(x104102))))),f327(f327(f7(x104102,x104102,x104102),f327(f327(f8(x104102,f922(x104102,x104102),x104102),f80(x104102)),f327(f327(f18(x104102,x104102,x104102),f80(x104102)),f5(x104102)))),f78(x104102))))),f47(x104101,f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f104(x104102),x104101))
% 207.24/207.89 [5490]~P36(x54901,x54903)+~P49(x54901,x54903)+~P50(x54901,x54902,x54903)+P6(x54901,x54902,x54903)
% 207.24/207.89 [5029]~P92(x50293)+~P93(x50293)+E(x50291,x50292)+~E(f327(f105(x50293),x50291),f327(f105(x50293),x50292))
% 207.24/207.89 [5500]~P47(x55001,x55002)+~P48(x55001,x55002)+P13(x55001,x55002)+~P1(f327(f327(x55002,x55003),x55003))
% 207.24/207.89 [5999]P13(x59992,x59991)+E(f327(x59991,f802(x59991)),f327(x59991,f803(x59991)))+P1(f327(f327(x59991,f802(x59991)),f803(x59991)))+~P1(f327(f327(x59991,x59993),x59993))
% 207.24/207.89 [6204]~P1(f327(x62041,x62042))+~P1(f327(x62041,x62043))+~P1(f327(f327(f234(a915),x62043),f449(x62042,x62041)))+P1(f327(x62041,f2(a915)))
% 207.24/207.89 [6275]P13(x62751,x62752)+P1(f327(f327(x62752,f802(x62752)),f802(x62752)))+P1(f327(f327(x62752,f802(x62752)),f803(x62752)))+~P1(f327(f327(x62752,x62753),x62753))
% 207.24/207.89 [6276]P13(x62761,x62762)+P1(f327(f327(x62762,f802(x62762)),f803(x62762)))+P1(f327(f327(x62762,f803(x62762)),f803(x62762)))+~P1(f327(f327(x62762,x62763),x62763))
% 207.24/207.89 [6631]P148(x66312,x66313,x66311)+E(x66311,f2(a1))+P1(f327(f327(f234(a1),f2(a1)),f850(x66311,x66313,x66312)))+P1(f327(f327(f235(a1),x66311),f2(a1)))
% 207.24/207.89 [6632]P147(x66322,x66323,x66321)+E(x66321,f2(a1))+P1(f327(f327(f234(a1),f2(a1)),f858(x66321,x66323,x66322)))+P1(f327(f327(f235(a1),x66321),f2(a1)))
% 207.24/207.89 [6757]P147(x67571,x67572,x67573)+~P1(f327(x67571,x67572))+P1(f327(f327(f234(a1),f2(a1)),f858(x67573,x67572,x67571)))+P1(f327(f327(f235(a1),x67573),f2(a1)))
% 207.24/207.89 [6782]P148(x67821,x67822,x67823)+P1(f327(f327(f234(a1),f2(a1)),f850(x67823,x67822,x67821)))+~P1(f327(x67821,f2(a1)))+P1(f327(f327(f235(a1),x67823),f2(a1)))
% 207.24/207.89 [6812]P148(x68122,x68123,x68121)+E(x68121,f2(a1))+~P1(f327(x68122,f851(x68121,x68123,x68122)))+P1(f327(f327(f235(a1),x68121),f2(a1)))
% 207.24/207.89 [6813]P147(x68132,x68133,x68131)+E(x68131,f2(a1))+~P1(f327(x68132,f858(x68131,x68133,x68132)))+P1(f327(f327(f235(a1),x68131),f2(a1)))
% 207.24/207.89 [6914]~P108(x69141)+~P3(x69141)+~P1(f327(f327(f235(x69141),x69142),f38(x69141,x69143)))+P1(f327(f327(f235(x69141),x69142),f464(x69143,x69142,x69141)))
% 207.24/207.89 [6924]P147(x69241,x69242,x69243)+~P1(f327(x69241,x69242))+~P1(f327(x69241,f858(x69243,x69242,x69241)))+P1(f327(f327(f235(a1),x69243),f2(a1)))
% 207.24/207.89 [6954]P148(x69541,x69542,x69543)+~P1(f327(x69541,f851(x69543,x69542,x69541)))+~P1(f327(x69541,f2(a1)))+P1(f327(f327(f235(a1),x69543),f2(a1)))
% 207.24/207.89 [7205]P148(x72052,x72053,x72051)+E(x72051,f2(a1))+P1(f327(f327(f234(a1),f2(a1)),f850(x72051,x72053,x72052)))+P1(f327(f327(f235(a1),x72051),f849(x72051,x72053,x72052)))
% 207.24/207.89 [7206]P147(x72062,x72063,x72061)+E(x72061,f2(a1))+P1(f327(f327(f234(a1),f2(a1)),f858(x72061,x72063,x72062)))+P1(f327(f327(f235(a1),x72061),f857(x72061,x72063,x72062)))
% 207.24/207.89 [7326]P147(x73261,x73262,x73263)+~P1(f327(x73261,x73262))+P1(f327(f327(f234(a1),f2(a1)),f858(x73263,x73262,x73261)))+P1(f327(f327(f235(a1),x73263),f857(x73263,x73262,x73261)))
% 207.24/207.89 [7347]P148(x73471,x73472,x73473)+P1(f327(f327(f234(a1),f2(a1)),f850(x73473,x73472,x73471)))+P1(f327(f327(f235(a1),x73473),f849(x73473,x73472,x73471)))+~P1(f327(x73471,f2(a1)))
% 207.24/207.89 [7380]P148(x73802,x73803,x73801)+E(x73801,f2(a1))+~P1(f327(x73802,f851(x73801,x73803,x73802)))+P1(f327(f327(f235(a1),x73801),f849(x73801,x73803,x73802)))
% 207.24/207.89 [7381]P147(x73812,x73813,x73811)+E(x73811,f2(a1))+~P1(f327(x73812,f858(x73811,x73813,x73812)))+P1(f327(f327(f235(a1),x73811),f857(x73811,x73813,x73812)))
% 207.24/207.89 [7425]P148(x74252,x74253,x74251)+E(x74251,f2(a1))+P1(f327(f327(f234(a1),f2(a1)),f850(x74251,x74253,x74252)))+~P1(f327(x74252,f856(x74251,x74253,x74252)))
% 207.24/207.89 [7426]P147(x74262,x74263,x74261)+E(x74261,f2(a1))+P1(f327(f327(f234(a1),f2(a1)),f858(x74261,x74263,x74262)))+~P1(f327(x74262,f857(x74261,x74263,x74262)))
% 207.24/207.89 [7522]P147(x75221,x75222,x75223)+~P1(f327(x75221,x75222))+~P1(f327(x75221,f858(x75223,x75222,x75221)))+P1(f327(f327(f235(a1),x75223),f857(x75223,x75222,x75221)))
% 207.24/207.89 [7537]P148(x75371,x75372,x75373)+~P1(f327(x75371,f851(x75373,x75372,x75371)))+P1(f327(f327(f235(a1),x75373),f849(x75373,x75372,x75371)))+~P1(f327(x75371,f2(a1)))
% 207.24/207.89 [7540]P147(x75401,x75402,x75403)+~P1(f327(x75401,x75402))+P1(f327(f327(f234(a1),f2(a1)),f858(x75403,x75402,x75401)))+~P1(f327(x75401,f857(x75403,x75402,x75401)))
% 207.24/207.89 [7556]P148(x75561,x75562,x75563)+P1(f327(f327(f234(a1),f2(a1)),f850(x75563,x75562,x75561)))+~P1(f327(x75561,f856(x75563,x75562,x75561)))+~P1(f327(x75561,f2(a1)))
% 207.24/207.89 [7577]P148(x75772,x75773,x75771)+E(x75771,f2(a1))+~P1(f327(x75772,f851(x75771,x75773,x75772)))+~P1(f327(x75772,f856(x75771,x75773,x75772)))
% 207.24/207.89 [7578]P147(x75782,x75783,x75781)+E(x75781,f2(a1))+~P1(f327(x75782,f858(x75781,x75783,x75782)))+~P1(f327(x75782,f857(x75781,x75783,x75782)))
% 207.24/207.89 [7664]P147(x76641,x76642,x76643)+~P1(f327(x76641,x76642))+~P1(f327(x76641,f858(x76643,x76642,x76641)))+~P1(f327(x76641,f857(x76643,x76642,x76641)))
% 207.24/207.89 [7681]P148(x76811,x76812,x76813)+~P1(f327(x76811,f851(x76813,x76812,x76811)))+~P1(f327(x76811,f856(x76813,x76812,x76811)))+~P1(f327(x76811,f2(a1)))
% 207.24/207.89 [7726]P148(x77262,x77263,x77261)+E(x77261,f2(a1))+P1(f327(f327(f234(a1),f2(a1)),f850(x77261,x77263,x77262)))+P1(f327(f327(f234(a1),f849(x77261,x77263,x77262)),f2(a1)))
% 207.24/207.89 [7727]P147(x77272,x77273,x77271)+E(x77271,f2(a1))+P1(f327(f327(f234(a1),f2(a1)),f858(x77271,x77273,x77272)))+P1(f327(f327(f234(a1),f857(x77271,x77273,x77272)),f2(a1)))
% 207.24/207.89 [7728]~P142(x77281)+~P1(f327(f327(f329(x77281),x77283),f111(x77281)))+~P1(f327(f327(f329(x77281),x77282),f111(x77281)))+P1(f327(f327(f329(x77281),f327(f327(f23(x77281),x77282),x77283)),f111(x77281)))
% 207.24/207.89 [7729]~P142(x77291)+~P1(f327(f327(f329(x77291),x77293),f111(x77291)))+~P1(f327(f327(f329(x77291),x77292),f111(x77291)))+P1(f327(f327(f329(x77291),f327(f327(f80(x77291),x77292),x77293)),f111(x77291)))
% 207.24/207.89 [7730]~P146(x77301)+~P1(f327(f327(f329(x77301),x77303),f187(x77301)))+~P1(f327(f327(f329(x77301),x77302),f187(x77301)))+P1(f327(f327(f329(x77301),f327(f327(f80(x77301),x77302),x77303)),f187(x77301)))
% 207.24/207.89 [7731]~P142(x77311)+~P1(f327(f327(f329(x77311),x77313),f111(x77311)))+~P1(f327(f327(f329(x77311),x77312),f111(x77311)))+P1(f327(f327(f329(x77311),f327(f327(f81(x77311),x77312),x77313)),f111(x77311)))
% 207.24/207.89 [7732]~P146(x77321)+~P1(f327(f327(f329(x77321),x77323),f187(x77321)))+~P1(f327(f327(f329(x77321),x77322),f187(x77321)))+P1(f327(f327(f329(x77321),f327(f327(f81(x77321),x77322),x77323)),f187(x77321)))
% 207.24/207.89 [7733]~P88(x77331)+~P1(f327(f327(f234(x77331),x77333),f2(x77331)))+~P1(f327(f327(f234(x77331),x77332),f2(x77331)))+P1(f327(f327(f234(x77331),f327(f327(f80(x77331),x77332),x77333)),f2(x77331)))
% 207.24/207.90 [7734]~P88(x77341)+~P1(f327(f327(f234(x77341),x77343),f2(x77341)))+~P1(f327(f327(f235(x77341),x77342),f2(x77341)))+P1(f327(f327(f235(x77341),f327(f327(f80(x77341),x77342),x77343)),f2(x77341)))
% 207.24/207.90 [7735]~P88(x77351)+~P1(f327(f327(f234(x77351),x77352),f2(x77351)))+~P1(f327(f327(f235(x77351),x77353),f2(x77351)))+P1(f327(f327(f235(x77351),f327(f327(f80(x77351),x77352),x77353)),f2(x77351)))
% 207.24/207.90 [7736]~P88(x77361)+~P1(f327(f327(f235(x77361),x77363),f2(x77361)))+~P1(f327(f327(f235(x77361),x77362),f2(x77361)))+P1(f327(f327(f235(x77361),f327(f327(f80(x77361),x77362),x77363)),f2(x77361)))
% 207.24/207.90 [7763]P148(x77633,x77632,x77631)+E(x77631,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x77631),f851(x77631,x77632,x77633))),f850(x77631,x77632,x77633)),x77632)+P1(f327(f327(f235(a1),x77631),f2(a1)))
% 207.24/207.90 [7764]P147(x77643,x77642,x77641)+E(x77641,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x77641),f859(x77641,x77642,x77643))),f858(x77641,x77642,x77643)),x77642)+P1(f327(f327(f235(a1),x77641),f2(a1)))
% 207.24/207.90 [7847]P147(x78471,x78472,x78473)+~P1(f327(x78471,x78472))+P1(f327(f327(f234(a1),f2(a1)),f858(x78473,x78472,x78471)))+P1(f327(f327(f234(a1),f857(x78473,x78472,x78471)),f2(a1)))
% 207.24/207.90 [7877]P148(x78771,x78772,x78773)+P1(f327(f327(f234(a1),f2(a1)),f850(x78773,x78772,x78771)))+~P1(f327(x78771,f2(a1)))+P1(f327(f327(f234(a1),f849(x78773,x78772,x78771)),f2(a1)))
% 207.24/207.90 [7886]P147(x78863,x78862,x78861)+~P1(f327(x78863,x78862))+E(f327(f327(f80(a1),f327(f327(f81(a1),x78861),f859(x78861,x78862,x78863))),f858(x78861,x78862,x78863)),x78862)+P1(f327(f327(f235(a1),x78861),f2(a1)))
% 207.24/207.90 [7892]P148(x78922,x78923,x78921)+E(x78921,f2(a1))+~P1(f327(x78922,f851(x78921,x78923,x78922)))+P1(f327(f327(f234(a1),f849(x78921,x78923,x78922)),f2(a1)))
% 207.24/207.90 [7893]P147(x78932,x78933,x78931)+E(x78931,f2(a1))+~P1(f327(x78932,f858(x78931,x78933,x78932)))+P1(f327(f327(f234(a1),f857(x78931,x78933,x78932)),f2(a1)))
% 207.24/207.90 [7898]P148(x78983,x78982,x78981)+E(f327(f327(f80(a1),f327(f327(f81(a1),x78981),f851(x78981,x78982,x78983))),f850(x78981,x78982,x78983)),x78982)+~P1(f327(x78983,f2(a1)))+P1(f327(f327(f235(a1),x78981),f2(a1)))
% 207.24/207.90 [7954]P147(x79541,x79542,x79543)+~P1(f327(x79541,x79542))+~P1(f327(x79541,f858(x79543,x79542,x79541)))+P1(f327(f327(f234(a1),f857(x79543,x79542,x79541)),f2(a1)))
% 207.24/207.90 [7958]P148(x79581,x79582,x79583)+~P1(f327(x79581,f851(x79583,x79582,x79581)))+~P1(f327(x79581,f2(a1)))+P1(f327(f327(f234(a1),f849(x79583,x79582,x79581)),f2(a1)))
% 207.24/207.90 [8025]~P127(x80251)+~P1(f327(f327(f234(x80251),f327(f327(f81(x80251),x80253),x80252)),f2(x80251)))+P1(f327(f327(f234(x80251),x80252),f2(x80251)))+P1(f327(f327(f234(x80251),x80253),f2(x80251)))
% 207.24/207.90 [8026]~P63(x80261)+~P1(f327(f327(f234(x80261),f327(f327(f291(x80261),x80263),x80262)),f2(x80261)))+P1(f327(f327(f234(x80261),x80262),f2(x80261)))+P1(f327(f327(f234(x80261),x80263),f2(x80261)))
% 207.24/207.90 [8027]~P63(x80271)+~P1(f327(f327(f235(x80271),f327(f327(f291(x80271),x80273),x80272)),f2(x80271)))+P1(f327(f327(f235(x80271),x80272),f2(x80271)))+P1(f327(f327(f235(x80271),x80273),f2(x80271)))
% 207.24/207.90 [8140]P148(x81403,x81402,x81401)+E(x81401,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x81401),f851(x81401,x81402,x81403))),f850(x81401,x81402,x81403)),x81402)+P1(f327(f327(f235(a1),x81401),f849(x81401,x81402,x81403)))
% 207.24/207.90 [8141]P147(x81413,x81412,x81411)+E(x81411,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x81411),f859(x81411,x81412,x81413))),f858(x81411,x81412,x81413)),x81412)+P1(f327(f327(f235(a1),x81411),f857(x81411,x81412,x81413)))
% 207.24/207.90 [8153]P148(x81533,x81532,x81531)+E(x81531,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x81531),f856(x81531,x81532,x81533))),f849(x81531,x81532,x81533)),x81532)+P1(f327(f327(f234(a1),f2(a1)),f850(x81531,x81532,x81533)))
% 207.24/207.90 [8154]P147(x81543,x81542,x81541)+E(x81541,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x81541),f860(x81541,x81542,x81543))),f857(x81541,x81542,x81543)),x81542)+P1(f327(f327(f234(a1),f2(a1)),f858(x81541,x81542,x81543)))
% 207.24/207.90 [8196]P147(x81963,x81962,x81961)+~P1(f327(x81963,x81962))+E(f327(f327(f80(a1),f327(f327(f81(a1),x81961),f859(x81961,x81962,x81963))),f858(x81961,x81962,x81963)),x81962)+P1(f327(f327(f235(a1),x81961),f857(x81961,x81962,x81963)))
% 207.24/207.90 [8205]P148(x82053,x82052,x82051)+E(f327(f327(f80(a1),f327(f327(f81(a1),x82051),f851(x82051,x82052,x82053))),f850(x82051,x82052,x82053)),x82052)+P1(f327(f327(f235(a1),x82051),f849(x82051,x82052,x82053)))+~P1(f327(x82053,f2(a1)))
% 207.24/207.90 [8211]P147(x82113,x82112,x82111)+~P1(f327(x82113,x82112))+E(f327(f327(f80(a1),f327(f327(f81(a1),x82111),f860(x82111,x82112,x82113))),f857(x82111,x82112,x82113)),x82112)+P1(f327(f327(f234(a1),f2(a1)),f858(x82111,x82112,x82113)))
% 207.24/207.90 [8217]P148(x82173,x82172,x82171)+E(f327(f327(f80(a1),f327(f327(f81(a1),x82171),f856(x82171,x82172,x82173))),f849(x82171,x82172,x82173)),x82172)+P1(f327(f327(f234(a1),f2(a1)),f850(x82171,x82172,x82173)))+~P1(f327(x82173,f2(a1)))
% 207.24/207.90 [8228]P148(x82283,x82282,x82281)+E(x82281,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x82281),f851(x82281,x82282,x82283))),f850(x82281,x82282,x82283)),x82282)+~P1(f327(x82283,f856(x82281,x82282,x82283)))
% 207.24/207.90 [8229]P147(x82293,x82292,x82291)+E(x82291,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x82291),f859(x82291,x82292,x82293))),f858(x82291,x82292,x82293)),x82292)+~P1(f327(x82293,f857(x82291,x82292,x82293)))
% 207.24/207.90 [8230]P148(x82303,x82302,x82301)+E(x82301,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x82301),f856(x82301,x82302,x82303))),f849(x82301,x82302,x82303)),x82302)+~P1(f327(x82303,f851(x82301,x82302,x82303)))
% 207.24/207.90 [8231]P147(x82313,x82312,x82311)+E(x82311,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x82311),f860(x82311,x82312,x82313))),f857(x82311,x82312,x82313)),x82312)+~P1(f327(x82313,f858(x82311,x82312,x82313)))
% 207.24/207.90 [8290]P147(x82903,x82902,x82901)+~P1(f327(x82903,x82902))+E(f327(f327(f80(a1),f327(f327(f81(a1),x82901),f859(x82901,x82902,x82903))),f858(x82901,x82902,x82903)),x82902)+~P1(f327(x82903,f857(x82901,x82902,x82903)))
% 207.24/207.90 [8291]P147(x82913,x82912,x82911)+~P1(f327(x82913,x82912))+E(f327(f327(f80(a1),f327(f327(f81(a1),x82911),f860(x82911,x82912,x82913))),f857(x82911,x82912,x82913)),x82912)+~P1(f327(x82913,f858(x82911,x82912,x82913)))
% 207.24/207.90 [8304]P148(x83043,x83042,x83041)+E(f327(f327(f80(a1),f327(f327(f81(a1),x83041),f851(x83041,x83042,x83043))),f850(x83041,x83042,x83043)),x83042)+~P1(f327(x83043,f856(x83041,x83042,x83043)))+~P1(f327(x83043,f2(a1)))
% 207.24/207.90 [8305]P148(x83053,x83052,x83051)+E(f327(f327(f80(a1),f327(f327(f81(a1),x83051),f856(x83051,x83052,x83053))),f849(x83051,x83052,x83053)),x83052)+~P1(f327(x83053,f851(x83051,x83052,x83053)))+~P1(f327(x83053,f2(a1)))
% 207.24/207.90 [8403]P148(x84033,x84032,x84031)+E(x84031,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x84031),f851(x84031,x84032,x84033))),f850(x84031,x84032,x84033)),x84032)+P1(f327(f327(f234(a1),f849(x84031,x84032,x84033)),f2(a1)))
% 207.24/207.90 [8404]P147(x84043,x84042,x84041)+E(x84041,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x84041),f859(x84041,x84042,x84043))),f858(x84041,x84042,x84043)),x84042)+P1(f327(f327(f234(a1),f857(x84041,x84042,x84043)),f2(a1)))
% 207.24/207.90 [8443]P147(x84433,x84432,x84431)+~P1(f327(x84433,x84432))+E(f327(f327(f80(a1),f327(f327(f81(a1),x84431),f859(x84431,x84432,x84433))),f858(x84431,x84432,x84433)),x84432)+P1(f327(f327(f234(a1),f857(x84431,x84432,x84433)),f2(a1)))
% 207.24/207.90 [8448]P148(x84483,x84482,x84481)+E(f327(f327(f80(a1),f327(f327(f81(a1),x84481),f851(x84481,x84482,x84483))),f850(x84481,x84482,x84483)),x84482)+~P1(f327(x84483,f2(a1)))+P1(f327(f327(f234(a1),f849(x84481,x84482,x84483)),f2(a1)))
% 207.24/207.90 [8582]P148(x85823,x85822,x85821)+E(x85821,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x85821),f856(x85821,x85822,x85823))),f849(x85821,x85822,x85823)),x85822)+E(f327(f327(f80(a1),f327(f327(f81(a1),x85821),f851(x85821,x85822,x85823))),f850(x85821,x85822,x85823)),x85822)
% 207.24/207.90 [8583]P147(x85833,x85832,x85831)+E(x85831,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x85831),f860(x85831,x85832,x85833))),f857(x85831,x85832,x85833)),x85832)+E(f327(f327(f80(a1),f327(f327(f81(a1),x85831),f859(x85831,x85832,x85833))),f858(x85831,x85832,x85833)),x85832)
% 207.24/207.90 [8603]P147(x86033,x86032,x86031)+~P1(f327(x86033,x86032))+E(f327(f327(f80(a1),f327(f327(f81(a1),x86031),f860(x86031,x86032,x86033))),f857(x86031,x86032,x86033)),x86032)+E(f327(f327(f80(a1),f327(f327(f81(a1),x86031),f859(x86031,x86032,x86033))),f858(x86031,x86032,x86033)),x86032)
% 207.24/207.90 [8614]P148(x86143,x86142,x86141)+E(f327(f327(f80(a1),f327(f327(f81(a1),x86141),f856(x86141,x86142,x86143))),f849(x86141,x86142,x86143)),x86142)+E(f327(f327(f80(a1),f327(f327(f81(a1),x86141),f851(x86141,x86142,x86143))),f850(x86141,x86142,x86143)),x86142)+~P1(f327(x86143,f2(a1)))
% 207.24/207.90 [9279]~P127(x92791)+~E(x92793,f2(x92791))+~E(x92792,f2(x92791))+P1(f327(f327(f234(x92791),f327(f327(f80(x92791),f327(f327(f81(x92791),x92792),x92792)),f327(f327(f81(x92791),x92793),x92793))),f2(x92791)))
% 207.24/207.90 [10349]~P119(x103491)+~E(x103493,f2(x103491))+~E(x103492,f2(x103491))+P1(f327(f327(f234(x103491),f327(f327(f80(x103491),f327(f327(f244(x103491),x103492),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x103491),x103493),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))),f2(x103491)))
% 207.24/207.90 [4977]~E(x49773,x49771)+~P122(x49772)+E(x49771,f2(x49772))+E(f327(f327(f291(x49772),x49773),x49771),f78(x49772))
% 207.24/207.90 [5030]~P98(x50301)+~E(x50303,f190(x50301))+~E(x50302,f190(x50301))+E(f327(f327(f102(x50301),x50302),x50303),f190(x50301))
% 207.24/207.90 [5031]~P97(x50311)+~E(x50313,f242(x50311))+~E(x50312,f242(x50311))+E(f327(f327(f103(x50311),x50312),x50313),f242(x50311))
% 207.24/207.90 [5124]~P122(x51243)+E(x51241,x51242)+E(x51242,f2(x51243))+~E(f327(f327(f291(x51243),x51241),x51242),f78(x51243))
% 207.24/207.90 [5142]~P134(x51422)+E(x51421,f2(x51422))+E(x51423,f2(x51422))+~E(f327(f327(f81(x51422),x51423),x51421),f2(x51422))
% 207.24/207.90 [5143]~P143(x51432)+E(x51431,f2(x51432))+E(x51433,f2(x51432))+~E(f327(f327(f81(x51432),x51433),x51431),f2(x51432))
% 207.24/207.90 [5519]~P120(x55193)+E(x55191,x55192)+E(x55191,f327(f79(x55193),x55192))+~E(f327(f327(f81(x55193),x55191),x55191),f327(f327(f81(x55193),x55192),x55192))
% 207.24/207.90 [5558]~P86(x55581)+E(f327(f79(x55581),x55582),x55583)+~E(f327(f327(f102(x55581),x55582),x55583),f242(x55581))+~E(f327(f327(f103(x55581),x55582),x55583),f190(x55581))
% 207.24/207.90 [5639]~P119(x56393)+E(x56391,x56392)+P1(f327(f327(f235(x56393),x56392),x56391))+P1(f327(f327(f235(x56393),x56391),x56392))
% 207.24/207.90 [5640]~P108(x56403)+E(x56401,x56402)+P1(f327(f327(f235(x56403),x56402),x56401))+P1(f327(f327(f235(x56403),x56401),x56402))
% 207.24/207.90 [5641]~E(x56412,x56413)+~P108(x56411)+P1(f327(f327(f235(x56411),x56412),x56413))+P1(f327(f327(f234(x56411),x56412),x56413))
% 207.24/207.90 [5903]~P110(x59033)+E(x59031,x59032)+~P1(f327(f327(f234(x59033),x59032),x59031))+P1(f327(f327(f235(x59033),x59032),x59031))
% 207.24/207.90 [5905]~P108(x59053)+E(x59051,x59052)+~P1(f327(f327(f234(x59053),x59051),x59052))+P1(f327(f327(f235(x59053),x59051),x59052))
% 207.24/207.90 [5911]~P110(x59113)+E(x59111,x59112)+~P1(f327(f327(f234(x59113),x59111),x59112))+P1(f327(f327(f235(x59113),x59111),x59112))
% 207.24/207.90 [6016]P147(x60161,x60162,x60163)+~P1(f327(x60161,x60162))+P1(f327(f327(f235(a1),x60163),f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x60163))
% 207.24/207.90 [6070]P148(x60701,x60702,x60703)+~P1(f327(x60701,f2(a1)))+P1(f327(f327(f235(a1),x60703),f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x60703))
% 207.24/207.90 [6075]~P96(x60751)+E(f327(f327(f102(x60751),x60752),f10(x60751,x60753)),x60752)+~P1(f327(f35(x60751),x60753))+~P1(f327(f327(f329(x60751),x60752),x60753))
% 207.24/207.90 [6076]~P96(x60761)+E(f327(f327(f103(x60761),x60762),f13(x60761,x60763)),x60762)+~P1(f327(f35(x60761),x60763))+~P1(f327(f327(f329(x60761),x60762),x60763))
% 207.24/207.90 [6114]~P108(x61141)+E(f327(f327(f238(x61141),x61142),f15(x61141,x61143)),f15(x61141,x61143))+~P1(f327(f35(x61141),x61143))+~P1(f327(f327(f329(x61141),x61142),x61143))
% 207.24/207.90 [6115]~P108(x61151)+E(f327(f327(f189(x61151),x61152),f14(x61151,x61153)),f14(x61151,x61153))+~P1(f327(f35(x61151),x61153))+~P1(f327(f327(f329(x61151),x61152),x61153))
% 207.24/207.90 [6116]~P96(x61161)+E(f327(f327(f102(x61161),x61162),f13(x61161,x61163)),f13(x61161,x61163))+~P1(f327(f35(x61161),x61163))+~P1(f327(f327(f329(x61161),x61162),x61163))
% 207.24/207.90 [6117]~P96(x61171)+E(f327(f327(f103(x61171),x61172),f10(x61171,x61173)),f10(x61171,x61173))+~P1(f327(f35(x61171),x61173))+~P1(f327(f327(f329(x61171),x61172),x61173))
% 207.24/207.90 [6156]E(x61561,x61562)+~P110(x61563)+~P1(f327(f327(f234(x61563),x61562),x61561))+~P1(f327(f327(f234(x61563),x61561),x61562))
% 207.24/207.90 [6304]~P107(x63041)+P1(f327(f327(f235(x63041),x63043),x63042))+~P1(f327(f327(f234(x63041),x63043),x63042))+P1(f327(f327(f234(x63041),x63042),x63043))
% 207.24/207.90 [6331]~P108(x63311)+~P1(f327(f35(x63311),x63313))+P1(f327(f327(f234(x63311),x63312),f14(x63311,x63313)))+~P1(f327(f327(f329(x63311),x63312),x63313))
% 207.24/207.90 [6378]~P108(x63781)+E(f327(f327(f238(x63781),x63782),f11(x63781,f189(x63781),x63783)),x63782)+~P1(f327(f35(x63781),x63783))+~P1(f327(f327(f329(x63781),x63782),x63783))
% 207.24/207.90 [6379]~P108(x63791)+E(f327(f327(f189(x63791),x63792),f12(x63791,f238(x63791),x63793)),x63792)+~P1(f327(f35(x63791),x63793))+~P1(f327(f327(f329(x63791),x63792),x63793))
% 207.24/207.90 [6521]E(x65211,x65212)+~E(f327(f327(f23(a915),x65211),x65213),f327(f327(f23(a915),x65212),x65213))+~P1(f327(f327(f234(a915),x65213),x65211))+~P1(f327(f327(f234(a915),x65213),x65212))
% 207.24/207.90 [6548]~P108(x65481)+~P1(f327(f35(x65481),x65482))+~P1(f327(f327(f329(x65481),x65483),x65482))+P1(f327(f327(f234(x65481),f15(x65481,x65482)),x65483))
% 207.24/207.90 [6610]P148(x66102,x66103,x66101)+E(x66101,f2(a1))+P1(f327(f327(f235(a1),x66101),f849(x66101,x66103,x66102)))+P1(f327(f327(f235(a1),f2(a1)),x66101))
% 207.24/207.90 [6611]P147(x66112,x66113,x66111)+E(x66111,f2(a1))+P1(f327(f327(f235(a1),x66111),f857(x66111,x66113,x66112)))+P1(f327(f327(f235(a1),f2(a1)),x66111))
% 207.24/207.90 [6612]~P108(x66121)+E(f327(f327(f238(x66121),x66122),f12(x66121,f238(x66121),x66123)),f12(x66121,f238(x66121),x66123))+~P1(f327(f35(x66121),x66123))+~P1(f327(f327(f329(x66121),x66122),x66123))
% 207.24/207.90 [6613]~P108(x66131)+E(f327(f327(f189(x66131),x66132),f11(x66131,f189(x66131),x66133)),f11(x66131,f189(x66131),x66133))+~P1(f327(f35(x66131),x66133))+~P1(f327(f327(f329(x66131),x66132),x66133))
% 207.24/207.90 [6618]~P1(f327(x66181,x66182))+P1(f327(x66181,f502(x66182,x66181,x66183)))+P1(f327(x66181,f2(a915)))+~P1(f327(f327(f235(a915),x66182),x66183))
% 207.24/207.90 [6676]~P1(f327(x66761,x66762))+~P1(f327(f35(x66763),x66762))+P1(f327(x66761,f418(x66761,x66762,x66763)))+P1(f327(x66761,f190(f922(x66763,a910))))
% 207.24/207.90 [6689]~P119(x66891)+~P93(x66891)+P1(f327(f327(f234(x66891),f327(f105(x66891),x66892)),f327(f105(x66891),x66893)))+~P1(f327(f327(f234(a1),x66892),x66893))
% 207.24/207.90 [6690]~P119(x66901)+~P93(x66901)+P1(f327(f327(f235(x66901),f327(f105(x66901),x66902)),f327(f105(x66901),x66903)))+~P1(f327(f327(f235(a1),x66902),x66903))
% 207.24/207.90 [6693]~P1(f327(x66931,x66933))+~P1(f327(f35(x66932),x66933))+P1(f327(f35(x66932),f418(x66931,x66933,x66932)))+P1(f327(x66931,f190(f922(x66932,a910))))
% 207.24/207.90 [6727]P147(x67271,x67272,x67273)+~P1(f327(x67271,x67272))+P1(f327(f327(f235(a1),x67273),f857(x67273,x67272,x67271)))+P1(f327(f327(f235(a1),f2(a1)),x67273))
% 207.24/207.90 [6763]P148(x67631,x67632,x67633)+P1(f327(f327(f235(a1),x67633),f849(x67633,x67632,x67631)))+~P1(f327(x67631,f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x67633))
% 207.24/207.90 [6793]~P109(x67931)+~P94(x67931)+E(f327(f327(f238(x67931),f327(f105(x67931),x67932)),f327(f105(x67931),x67933)),f327(f105(x67931),x67933))+P1(f327(f327(f234(x67931),f327(f105(x67931),x67932)),f327(f105(x67931),x67933)))
% 207.24/207.90 [6794]~P109(x67941)+~P94(x67941)+E(f327(f327(f189(x67941),f327(f105(x67941),x67942)),f327(f105(x67941),x67943)),f327(f105(x67941),x67942))+P1(f327(f327(f234(x67941),f327(f105(x67941),x67942)),f327(f105(x67941),x67943)))
% 207.24/207.90 [6852]P148(x68522,x68523,x68521)+E(x68521,f2(a1))+~P1(f327(x68522,f856(x68521,x68523,x68522)))+P1(f327(f327(f235(a1),f2(a1)),x68521))
% 207.24/207.90 [6853]P147(x68532,x68533,x68531)+E(x68531,f2(a1))+~P1(f327(x68532,f857(x68531,x68533,x68532)))+P1(f327(f327(f235(a1),f2(a1)),x68531))
% 207.24/207.90 [6857]P1(f327(x68571,x68572))+~P1(f327(f35(x68573),x68572))+P1(f327(x68571,f409(x68571,x68572,x68573)))+~P1(f327(x68571,f190(f922(x68573,a910))))
% 207.24/207.90 [6878]P1(f327(x68781,x68782))+P1(f327(f35(x68783),f409(x68781,x68782,x68783)))+~P1(f327(f35(x68783),x68782))+~P1(f327(x68781,f190(f922(x68783,a910))))
% 207.24/207.90 [6943]P147(x69431,x69432,x69433)+~P1(f327(x69431,x69432))+~P1(f327(x69431,f857(x69433,x69432,x69431)))+P1(f327(f327(f235(a1),f2(a1)),x69433))
% 207.24/207.90 [6973]P148(x69731,x69732,x69733)+~P1(f327(x69731,f856(x69733,x69732,x69731)))+~P1(f327(x69731,f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x69733))
% 207.24/207.90 [7081]~P93(x70813)+~P119(x70813)+~P1(f327(f327(f234(x70813),f327(f105(x70813),x70811)),f327(f105(x70813),x70812)))+P1(f327(f327(f234(a1),x70811),x70812))
% 207.24/207.90 [7082]~P93(x70823)+~P119(x70823)+~P1(f327(f327(f235(x70823),f327(f105(x70823),x70821)),f327(f105(x70823),x70822)))+P1(f327(f327(f235(a1),x70821),x70822))
% 207.24/207.90 [7110]~P108(x71101)+~P11(x71101,x71103)+P11(x71101,f327(f327(f152(x71101),x71102),x71103))+~P1(f327(f327(f234(x71101),x71102),f706(x71103,x71102,x71101)))
% 207.24/207.90 [7111]~P108(x71111)+~P11(x71111,x71113)+P11(x71111,f327(f327(f152(x71111),x71112),x71113))+~P1(f327(f327(f234(x71111),x71112),f708(x71113,x71112,x71111)))
% 207.24/207.90 [7112]~P108(x71121)+~P11(x71121,x71123)+P11(x71121,f327(f327(f152(x71121),x71122),x71123))+~P1(f327(f327(f234(x71121),x71122),f747(x71122,x71123,x71121)))
% 207.24/207.90 [7197]P148(x71972,x71973,x71971)+E(x71971,f2(a1))+P1(f327(f327(f235(a1),x71971),f2(a1)))+P1(f327(f327(f235(a1),f850(x71971,x71973,x71972)),x71971))
% 207.24/207.90 [7198]P147(x71982,x71983,x71981)+E(x71981,f2(a1))+P1(f327(f327(f235(a1),x71981),f2(a1)))+P1(f327(f327(f235(a1),f858(x71981,x71983,x71982)),x71981))
% 207.24/207.90 [7236]P148(x72362,x72363,x72361)+E(x72361,f2(a1))+P1(f327(f327(f234(a1),f849(x72361,x72363,x72362)),f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x72361))
% 207.24/207.90 [7237]P147(x72372,x72373,x72371)+E(x72371,f2(a1))+P1(f327(f327(f234(a1),f857(x72371,x72373,x72372)),f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x72371))
% 207.24/207.90 [7262]~P108(x72621)+~P11(x72621,x72623)+E(f327(f327(f149(x72621,x72621,f5(x72621)),x72622),f171(x72621,x72622,x72623)),x72623)+~P1(f327(f327(f329(x72621),x72622),f327(f173(x72621),x72623)))
% 207.24/207.90 [7309]P147(x73091,x73092,x73093)+~P1(f327(x73091,x73092))+P1(f327(f327(f235(a1),x73093),f2(a1)))+P1(f327(f327(f235(a1),f858(x73093,x73092,x73091)),x73093))
% 207.24/207.90 [7315]~P109(x73151)+~P94(x73151)+E(f327(f327(f238(x73151),f327(f105(x73151),x73152)),f327(f105(x73151),x73153)),f327(f105(x73151),x73152))+~P1(f327(f327(f234(x73151),f327(f105(x73151),x73152)),f327(f105(x73151),x73153)))
% 207.24/207.90 [7316]~P109(x73161)+~P94(x73161)+E(f327(f327(f189(x73161),f327(f105(x73161),x73162)),f327(f105(x73161),x73163)),f327(f105(x73161),x73163))+~P1(f327(f327(f234(x73161),f327(f105(x73161),x73162)),f327(f105(x73161),x73163)))
% 207.24/207.90 [7330]P148(x73301,x73302,x73303)+~P1(f327(x73301,f2(a1)))+P1(f327(f327(f235(a1),x73303),f2(a1)))+P1(f327(f327(f235(a1),f850(x73303,x73302,x73301)),x73303))
% 207.24/207.90 [7340]P147(x73401,x73402,x73403)+~P1(f327(x73401,x73402))+P1(f327(f327(f234(a1),f857(x73403,x73402,x73401)),f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x73403))
% 207.24/207.90 [7364]P148(x73641,x73642,x73643)+~P1(f327(x73641,f2(a1)))+P1(f327(f327(f234(a1),f849(x73643,x73642,x73641)),f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x73643))
% 207.24/207.90 [7392]~P1(f327(x73921,x73922))+P1(f327(x73921,f2(a915)))+~P1(f327(f327(f235(a915),x73922),x73923))+P1(f327(f327(f235(a915),f502(x73922,x73921,x73923)),x73923))
% 207.24/207.90 [7409]~P108(x74091)+~P11(x74091,x74093)+P11(x74091,f327(f327(f152(x74091),x74092),x74093))+P1(f327(f327(f329(x74091),f706(x74093,x74092,x74091)),f327(f173(x74091),x74093)))
% 207.24/207.90 [7410]~P108(x74101)+~P11(x74101,x74103)+P11(x74101,f327(f327(f152(x74101),x74102),x74103))+P1(f327(f327(f329(x74101),f708(x74103,x74102,x74101)),f327(f173(x74101),x74103)))
% 207.24/207.90 [7411]~P108(x74111)+~P11(x74111,x74113)+P11(x74111,f327(f327(f152(x74111),x74112),x74113))+P1(f327(f327(f329(x74111),f747(x74112,x74113,x74111)),f327(f173(x74111),x74113)))
% 207.24/207.90 [7526]~P108(x75261)+~P3(x75261)+~P1(f327(f327(f235(x75261),x75263),f38(x75261,x75262)))+P1(f327(f327(f329(x75261),f464(x75262,x75263,x75261)),x75262))
% 207.24/207.90 [7679]~P108(x76791)+~P3(x76791)+~P1(f327(f327(f235(x76791),f39(x76791,x76793)),x76792))+P1(f327(f327(f329(x76791),f351(x76792,x76793,x76791)),x76793))
% 207.24/207.90 [7680]~P108(x76801)+~P3(x76801)+~P1(f327(f327(f235(x76801),f39(x76801,x76803)),x76802))+P1(f327(f327(f235(x76801),f351(x76802,x76803,x76801)),x76802))
% 207.24/207.90 [7692]P148(x76922,x76923,x76921)+E(x76921,f2(a1))+P1(f327(f327(f235(a1),x76921),f849(x76921,x76923,x76922)))+P1(f327(f327(f235(a1),f850(x76921,x76923,x76922)),x76921))
% 207.24/207.90 [7693]P147(x76932,x76933,x76931)+E(x76931,f2(a1))+P1(f327(f327(f235(a1),x76931),f857(x76931,x76933,x76932)))+P1(f327(f327(f235(a1),f858(x76931,x76933,x76932)),x76931))
% 207.24/207.90 [7786]P148(x77863,x77862,x77861)+E(x77861,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x77861),f856(x77861,x77862,x77863))),f849(x77861,x77862,x77863)),x77862)+P1(f327(f327(f235(a1),f2(a1)),x77861))
% 207.24/207.90 [7787]P147(x77873,x77872,x77871)+E(x77871,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x77871),f860(x77871,x77872,x77873))),f857(x77871,x77872,x77873)),x77872)+P1(f327(f327(f235(a1),f2(a1)),x77871))
% 207.24/207.90 [7789]~P127(x77891)+~P1(f327(f327(f234(x77891),x77893),f2(x77891)))+P1(f327(f327(f234(x77891),f327(f327(f81(x77891),x77892),x77893)),f2(x77891)))+~P1(f327(f327(f234(x77891),f2(x77891)),x77892))
% 207.24/207.90 [7790]~P127(x77901)+~P1(f327(f327(f234(x77901),x77902),f2(x77901)))+P1(f327(f327(f234(x77901),f327(f327(f81(x77901),x77902),x77903)),f2(x77901)))+~P1(f327(f327(f234(x77901),f2(x77901)),x77903))
% 207.24/207.90 [7792]~P135(x77921)+~P1(f327(f327(f234(x77921),x77923),f2(x77921)))+P1(f327(f327(f234(x77921),f327(f327(f81(x77921),x77922),x77923)),f2(x77921)))+~P1(f327(f327(f234(x77921),f2(x77921)),x77922))
% 207.24/207.90 [7794]~P135(x77941)+~P1(f327(f327(f234(x77941),x77942),f2(x77941)))+P1(f327(f327(f234(x77941),f327(f327(f81(x77941),x77942),x77943)),f2(x77941)))+~P1(f327(f327(f234(x77941),f2(x77941)),x77943))
% 207.24/207.90 [7795]~P63(x77951)+~P1(f327(f327(f234(x77951),x77953),f2(x77951)))+P1(f327(f327(f234(x77951),f327(f327(f291(x77951),x77952),x77953)),f2(x77951)))+~P1(f327(f327(f234(x77951),f2(x77951)),x77952))
% 207.24/207.90 [7796]~P63(x77961)+~P1(f327(f327(f234(x77961),x77962),f2(x77961)))+P1(f327(f327(f234(x77961),f327(f327(f291(x77961),x77962),x77963)),f2(x77961)))+~P1(f327(f327(f234(x77961),f2(x77961)),x77963))
% 207.24/207.90 [7797]~P64(x77971)+~P1(f327(f327(f234(x77971),x77972),f2(x77971)))+P1(f327(f327(f234(x77971),f327(f327(f291(x77971),x77972),x77973)),f2(x77971)))+~P1(f327(f327(f235(x77971),f2(x77971)),x77973))
% 207.24/207.90 [7798]~P64(x77981)+~P1(f327(f327(f235(x77981),x77983),f2(x77981)))+P1(f327(f327(f234(x77981),f327(f327(f291(x77981),x77982),x77983)),f2(x77981)))+~P1(f327(f327(f234(x77981),f2(x77981)),x77982))
% 207.24/207.90 [7800]~P130(x78001)+~P1(f327(f327(f235(x78001),x78003),f2(x78001)))+P1(f327(f327(f235(x78001),f327(f327(f81(x78001),x78002),x78003)),f2(x78001)))+~P1(f327(f327(f235(x78001),f2(x78001)),x78002))
% 207.24/207.90 [7801]~P130(x78011)+~P1(f327(f327(f235(x78011),x78012),f2(x78011)))+P1(f327(f327(f235(x78011),f327(f327(f81(x78011),x78012),x78013)),f2(x78011)))+~P1(f327(f327(f235(x78011),f2(x78011)),x78013))
% 207.24/207.90 [7802]~P63(x78021)+~P1(f327(f327(f235(x78021),x78023),f2(x78021)))+P1(f327(f327(f235(x78021),f327(f327(f291(x78021),x78022),x78023)),f2(x78021)))+~P1(f327(f327(f235(x78021),f2(x78021)),x78022))
% 207.24/207.90 [7803]~P63(x78031)+~P1(f327(f327(f235(x78031),x78032),f2(x78031)))+P1(f327(f327(f235(x78031),f327(f327(f291(x78031),x78032),x78033)),f2(x78031)))+~P1(f327(f327(f235(x78031),f2(x78031)),x78033))
% 207.24/207.90 [7804]~P64(x78041)+~P1(f327(f327(f235(x78041),x78043),f2(x78041)))+P1(f327(f327(f235(x78041),f327(f327(f291(x78041),x78042),x78043)),f2(x78041)))+~P1(f327(f327(f235(x78041),f2(x78041)),x78042))
% 207.24/207.90 [7805]~P64(x78051)+~P1(f327(f327(f235(x78051),x78052),f2(x78051)))+P1(f327(f327(f235(x78051),f327(f327(f291(x78051),x78052),x78053)),f2(x78051)))+~P1(f327(f327(f235(x78051),f2(x78051)),x78053))
% 207.24/207.90 [7820]P147(x78201,x78202,x78203)+~P1(f327(x78201,x78202))+P1(f327(f327(f235(a1),x78203),f857(x78203,x78202,x78201)))+P1(f327(f327(f235(a1),f858(x78203,x78202,x78201)),x78203))
% 207.24/207.90 [7833]P148(x78331,x78332,x78333)+P1(f327(f327(f235(a1),x78333),f849(x78333,x78332,x78331)))+~P1(f327(x78331,f2(a1)))+P1(f327(f327(f235(a1),f850(x78333,x78332,x78331)),x78333))
% 207.24/207.90 [7884]P148(x78842,x78843,x78841)+E(x78841,f2(a1))+~P1(f327(x78842,f856(x78841,x78843,x78842)))+P1(f327(f327(f235(a1),f850(x78841,x78843,x78842)),x78841))
% 207.24/207.90 [7885]P147(x78852,x78853,x78851)+E(x78851,f2(a1))+~P1(f327(x78852,f857(x78851,x78853,x78852)))+P1(f327(f327(f235(a1),f858(x78851,x78853,x78852)),x78851))
% 207.24/207.90 [7895]P147(x78953,x78952,x78951)+~P1(f327(x78953,x78952))+E(f327(f327(f80(a1),f327(f327(f81(a1),x78951),f860(x78951,x78952,x78953))),f857(x78951,x78952,x78953)),x78952)+P1(f327(f327(f235(a1),f2(a1)),x78951))
% 207.24/207.90 [7910]P148(x79103,x79102,x79101)+E(f327(f327(f80(a1),f327(f327(f81(a1),x79101),f856(x79101,x79102,x79103))),f849(x79101,x79102,x79103)),x79102)+~P1(f327(x79103,f2(a1)))+P1(f327(f327(f235(a1),f2(a1)),x79101))
% 207.24/207.90 [7938]~P1(f327(x79381,x79383))+~P1(f327(f35(x79382),x79383))+P1(f327(f327(f329(x79382),f419(x79381,x79383,x79382)),f418(x79381,x79383,x79382)))+P1(f327(x79381,f190(f922(x79382,a910))))
% 207.24/207.90 [7949]P147(x79491,x79492,x79493)+~P1(f327(x79491,x79492))+~P1(f327(x79491,f857(x79493,x79492,x79491)))+P1(f327(f327(f235(a1),f858(x79493,x79492,x79491)),x79493))
% 207.24/207.90 [7955]P148(x79551,x79552,x79553)+~P1(f327(x79551,f856(x79553,x79552,x79551)))+~P1(f327(x79551,f2(a1)))+P1(f327(f327(f235(a1),f850(x79553,x79552,x79551)),x79553))
% 207.24/207.90 [8056]~P127(x80561)+~P1(f327(f327(f234(x80561),f327(f327(f81(x80561),x80563),x80562)),f2(x80561)))+P1(f327(f327(f234(x80561),x80562),f2(x80561)))+P1(f327(f327(f234(x80561),f2(x80561)),x80562))
% 207.24/207.90 [8057]~P127(x80571)+~P1(f327(f327(f234(x80571),f327(f327(f81(x80571),x80572),x80573)),f2(x80571)))+P1(f327(f327(f234(x80571),x80572),f2(x80571)))+P1(f327(f327(f234(x80571),f2(x80571)),x80572))
% 207.24/207.90 [8058]~P63(x80581)+~P1(f327(f327(f234(x80581),f327(f327(f291(x80581),x80583),x80582)),f2(x80581)))+P1(f327(f327(f234(x80581),x80582),f2(x80581)))+P1(f327(f327(f234(x80581),f2(x80581)),x80582))
% 207.24/207.90 [8059]~P63(x80591)+~P1(f327(f327(f234(x80591),f327(f327(f291(x80591),x80592),x80593)),f2(x80591)))+P1(f327(f327(f234(x80591),x80592),f2(x80591)))+P1(f327(f327(f234(x80591),f2(x80591)),x80592))
% 207.24/207.90 [8060]~P63(x80601)+~P1(f327(f327(f235(x80601),f327(f327(f291(x80601),x80603),x80602)),f2(x80601)))+P1(f327(f327(f235(x80601),x80602),f2(x80601)))+P1(f327(f327(f235(x80601),f2(x80601)),x80602))
% 207.24/207.90 [8061]~P63(x80611)+~P1(f327(f327(f235(x80611),f327(f327(f291(x80611),x80612),x80613)),f2(x80611)))+P1(f327(f327(f235(x80611),x80612),f2(x80611)))+P1(f327(f327(f235(x80611),f2(x80611)),x80612))
% 207.24/207.90 [8085]~P127(x80851)+~P1(f327(f327(f234(x80851),f327(f327(f81(x80851),x80852),x80853)),f2(x80851)))+P1(f327(f327(f234(x80851),f2(x80851)),x80852))+P1(f327(f327(f234(x80851),f2(x80851)),x80853))
% 207.24/207.90 [8086]~P63(x80861)+~P1(f327(f327(f234(x80861),f327(f327(f291(x80861),x80862),x80863)),f2(x80861)))+P1(f327(f327(f234(x80861),f2(x80861)),x80862))+P1(f327(f327(f234(x80861),f2(x80861)),x80863))
% 207.24/207.90 [8087]~P63(x80871)+~P1(f327(f327(f235(x80871),f327(f327(f291(x80871),x80872),x80873)),f2(x80871)))+P1(f327(f327(f235(x80871),f2(x80871)),x80872))+P1(f327(f327(f235(x80871),f2(x80871)),x80873))
% 207.24/207.90 [8109]P148(x81092,x81093,x81091)+E(x81091,f2(a1))+P1(f327(f327(f234(a1),f849(x81091,x81093,x81092)),f2(a1)))+P1(f327(f327(f235(a1),f850(x81091,x81093,x81092)),x81091))
% 207.24/207.90 [8110]P147(x81102,x81103,x81101)+E(x81101,f2(a1))+P1(f327(f327(f234(a1),f857(x81101,x81103,x81102)),f2(a1)))+P1(f327(f327(f235(a1),f858(x81101,x81103,x81102)),x81101))
% 207.24/207.90 [8117]~P126(x81171)+~P1(f327(f327(f235(x81171),x81172),f78(x81171)))+P1(f327(f327(f235(x81171),f327(f327(f244(x81171),x81172),f327(a113,x81173))),f78(x81171)))+~P1(f327(f327(f235(x81171),f2(x81171)),x81172))
% 207.24/207.90 [8170]~P108(x81701)+~E(x81703,f114(x81701))+~P11(x81701,f327(f169(x81701),x81703))+E(f327(f143(x81701,x81701,f327(f7(x81701,x81701,x81701),f189(x81701)),x81702),f327(f169(x81701),x81703)),x81702)
% 207.24/207.90 [8173]P147(x81731,x81732,x81733)+~P1(f327(x81731,x81732))+P1(f327(f327(f234(a1),f857(x81733,x81732,x81731)),f2(a1)))+P1(f327(f327(f235(a1),f858(x81733,x81732,x81731)),x81733))
% 207.24/207.90 [8180]P148(x81801,x81802,x81803)+~P1(f327(x81801,f2(a1)))+P1(f327(f327(f234(a1),f849(x81803,x81802,x81801)),f2(a1)))+P1(f327(f327(f235(a1),f850(x81803,x81802,x81801)),x81803))
% 207.24/207.90 [8398]P148(x83983,x83982,x83981)+E(x83981,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x83981),f856(x83981,x83982,x83983))),f849(x83981,x83982,x83983)),x83982)+P1(f327(f327(f235(a1),f850(x83981,x83982,x83983)),x83981))
% 207.24/207.90 [8399]P147(x83993,x83992,x83991)+E(x83991,f2(a1))+E(f327(f327(f80(a1),f327(f327(f81(a1),x83991),f860(x83991,x83992,x83993))),f857(x83991,x83992,x83993)),x83992)+P1(f327(f327(f235(a1),f858(x83991,x83992,x83993)),x83991))
% 207.24/207.90 [8434]P147(x84343,x84342,x84341)+~P1(f327(x84343,x84342))+E(f327(f327(f80(a1),f327(f327(f81(a1),x84341),f860(x84341,x84342,x84343))),f857(x84341,x84342,x84343)),x84342)+P1(f327(f327(f235(a1),f858(x84341,x84342,x84343)),x84341))
% 207.24/207.90 [8435]~P68(x84351)+~P75(x84351)+~P38(x84353)+E(f327(f327(f6(a915,x84351),f327(f327(f8(a1,x84351,a915),x84352),f101(a1))),f327(f310(a1,a915,a106),x84353)),f327(f327(f6(a1,x84351),x84352),x84353))
% 207.24/207.90 [8436]~P68(x84361)+~P75(x84361)+~P38(x84363)+E(f327(f327(f9(a915,x84361),f327(f327(f8(a1,x84361,a915),x84362),f101(a1))),f327(f310(a1,a915,a106),x84363)),f327(f327(f9(a1,x84361),x84362),x84363))
% 207.24/207.90 [8445]P148(x84453,x84452,x84451)+E(f327(f327(f80(a1),f327(f327(f81(a1),x84451),f856(x84451,x84452,x84453))),f849(x84451,x84452,x84453)),x84452)+~P1(f327(x84453,f2(a1)))+P1(f327(f327(f235(a1),f850(x84451,x84452,x84453)),x84451))
% 207.24/207.90 [8467]~E(x84672,f2(a915))+~E(f327(f251(a915,a915),x84673),f2(a915))+~E(x84671,f327(f327(f80(a915),f327(f327(f81(a915),f327(f251(a915,a915),x84673)),x84672)),f327(f256(a915,a915),x84673)))+P1(f327(f49(x84671,x84672),x84673))
% 207.24/207.90 [8523]P1(f327(x85231,x85232))+~P1(f327(f327(f329(x85233),f402(x85231,x85232,x85233)),f409(x85231,x85232,x85233)))+~P1(f327(f35(x85233),x85232))+~P1(f327(x85231,f190(f922(x85233,a910))))
% 207.24/207.90 [9151]P1(f327(x91511,x91512))+~P1(f327(f35(x91513),x91512))+~P1(f327(x91511,f327(f327(f309(x91513),f402(x91511,x91512,x91513)),f409(x91511,x91512,x91513))))+~P1(f327(x91511,f190(f922(x91513,a910))))
% 207.24/207.90 [9381]P1(f327(f327(f234(a1),x93811),f2(a1)))+~P1(f327(f327(f235(a1),f327(f327(f80(a1),f327(f327(f81(a1),x93813),x93811)),x93812)),f2(a1)))+~P1(f327(f327(f234(a1),f2(a1)),x93812))+~P1(f327(f327(f235(a1),f2(a1)),x93813))
% 207.24/207.90 [5973]~P108(x59732)+E(x59731,f190(f922(x59732,a910)))+~P1(f327(f35(x59732),x59731))+E(f14(x59732,f327(f327(f309(x59732),x59733),x59731)),f327(f327(f189(x59732),x59733),f14(x59732,x59731)))
% 207.24/207.90 [5974]~P108(x59742)+E(x59741,f190(f922(x59742,a910)))+~P1(f327(f35(x59742),x59741))+E(f15(x59742,f327(f327(f309(x59742),x59743),x59741)),f327(f327(f238(x59742),x59743),f15(x59742,x59741)))
% 207.24/207.90 [5975]~P96(x59752)+E(x59751,f190(f922(x59752,a910)))+~P1(f327(f35(x59752),x59751))+E(f13(x59752,f327(f327(f309(x59752),x59753),x59751)),f327(f327(f102(x59752),x59753),f13(x59752,x59751)))
% 207.24/207.90 [5976]~P96(x59762)+E(x59761,f190(f922(x59762,a910)))+~P1(f327(f35(x59762),x59761))+E(f10(x59762,f327(f327(f309(x59762),x59763),x59761)),f327(f327(f103(x59762),x59763),f10(x59762,x59761)))
% 207.24/207.90 [6300]~P127(x63001)+~E(x63003,f2(x63001))+~E(x63002,f2(x63001))+E(f327(f327(f80(x63001),f327(f327(f81(x63001),x63002),x63002)),f327(f327(f81(x63001),x63003),x63003)),f2(x63001))
% 207.24/207.90 [6371]~P95(x63712)+E(x63711,f190(f922(x63712,a910)))+~P1(f327(f35(x63712),x63711))+E(f327(f63(x63712,f81(x63712)),f327(f327(f309(x63712),x63713),x63711)),f327(f327(f81(x63712),x63713),f327(f63(x63712,f81(x63712)),x63711)))
% 207.24/207.90 [6498]~P108(x64982)+E(x64981,f190(f922(x64982,a910)))+~P1(f327(f35(x64982),x64981))+E(f11(x64982,f189(x64982),f327(f327(f309(x64982),x64983),x64981)),f327(f327(f189(x64982),x64983),f11(x64982,f189(x64982),x64981)))
% 207.24/207.90 [6499]~P108(x64992)+E(x64991,f190(f922(x64992,a910)))+~P1(f327(f35(x64992),x64991))+E(f12(x64992,f238(x64992),f327(f327(f309(x64992),x64993),x64991)),f327(f327(f238(x64992),x64993),f12(x64992,f238(x64992),x64991)))
% 207.24/207.90 [7007]~P72(x70071)+~P1(f327(f35(x70071),x70073))+E(f327(f63(x70071,f81(x70071)),f327(f327(f309(x70071),x70072),x70073)),f327(f327(f64(x70071,x70071,f81(x70071)),x70072),x70073))+P1(f327(f327(f329(x70071),x70072),x70073))
% 207.24/207.90 [7088]~E(f327(f327(f80(a1),x70882),f327(f327(f81(a1),x70883),x70881)),x70883)+~P1(f327(f327(f235(a1),f2(a1)),x70883))+P1(f327(f327(f234(a1),f78(a1)),x70881))+~P1(f327(f327(f235(a1),x70882),x70883))
% 207.24/207.90 [7117]~E(f327(f327(f80(a1),x71172),f327(f327(f81(a1),x71173),x71171)),x71173)+P1(f327(f327(f234(a1),x71171),f78(a1)))+~P1(f327(f327(f234(a1),f2(a1)),x71172))+~P1(f327(f327(f235(a1),f2(a1)),x71173))
% 207.24/207.90 [7133]E(x71331,f2(a915))+~P1(f327(f49(x71333,x71331),x71332))+~P1(f327(f327(f235(a915),f2(a915)),x71331))+P1(f327(f327(f235(a915),f327(f256(a915,a915),x71332)),x71331))
% 207.24/207.90 [7165]~P138(x71651)+~P1(f327(f327(f234(x71651),x71652),f2(x71651)))+~P1(f327(f327(f234(x71651),x71653),f2(x71651)))+E(f327(f327(f81(x71651),f327(f75(x71651),x71652)),f327(f75(x71651),x71653)),f327(f75(x71651),f327(f327(f81(x71651),x71652),x71653)))
% 207.24/207.90 [7213]~P138(x72131)+~P1(f327(f327(f234(x72131),x72132),f2(x72131)))+E(f327(f327(f81(x72131),f327(f75(x72131),x72132)),f327(f75(x72131),x72133)),f327(f75(x72131),f327(f327(f81(x72131),x72132),x72133)))+~P1(f327(f327(f234(x72131),f2(x72131)),x72133))
% 207.24/207.90 [7214]~P138(x72141)+~P1(f327(f327(f234(x72141),x72143),f2(x72141)))+E(f327(f327(f81(x72141),f327(f75(x72141),x72142)),f327(f75(x72141),x72143)),f327(f75(x72141),f327(f327(f81(x72141),x72142),x72143)))+~P1(f327(f327(f234(x72141),f2(x72141)),x72142))
% 207.24/207.90 [7270]~P138(x72701)+E(f327(f327(f81(x72701),f327(f75(x72701),x72702)),f327(f75(x72701),x72703)),f327(f75(x72701),f327(f327(f81(x72701),x72702),x72703)))+~P1(f327(f327(f234(x72701),f2(x72701)),x72702))+~P1(f327(f327(f234(x72701),f2(x72701)),x72703))
% 207.24/207.90 [7287]~P111(x72871)+~P1(f327(f327(f234(x72871),x72873),f2(x72871)))+~P1(f327(f327(f234(x72871),x72872),f2(x72871)))+P1(f327(f327(f234(x72871),f2(x72871)),f327(f327(f81(x72871),x72872),x72873)))
% 207.24/207.90 [7288]~P127(x72881)+~P1(f327(f327(f234(x72881),x72883),f2(x72881)))+~P1(f327(f327(f234(x72881),x72882),f2(x72881)))+P1(f327(f327(f234(x72881),f2(x72881)),f327(f327(f81(x72881),x72882),x72883)))
% 207.24/207.90 [7289]~P63(x72891)+~P1(f327(f327(f234(x72891),x72893),f2(x72891)))+~P1(f327(f327(f234(x72891),x72892),f2(x72891)))+P1(f327(f327(f234(x72891),f2(x72891)),f327(f327(f291(x72891),x72892),x72893)))
% 207.24/207.90 [7290]~P64(x72901)+~P1(f327(f327(f235(x72901),x72903),f2(x72901)))+~P1(f327(f327(f234(x72901),x72902),f2(x72901)))+P1(f327(f327(f234(x72901),f2(x72901)),f327(f327(f291(x72901),x72902),x72903)))
% 207.24/207.90 [7291]~P127(x72911)+~P1(f327(f327(f235(x72911),x72913),f2(x72911)))+~P1(f327(f327(f235(x72911),x72912),f2(x72911)))+P1(f327(f327(f235(x72911),f2(x72911)),f327(f327(f81(x72911),x72912),x72913)))
% 207.24/207.90 [7292]~P63(x72921)+~P1(f327(f327(f235(x72921),x72923),f2(x72921)))+~P1(f327(f327(f235(x72921),x72922),f2(x72921)))+P1(f327(f327(f235(x72921),f2(x72921)),f327(f327(f291(x72921),x72922),x72923)))
% 207.24/207.90 [7293]~P64(x72931)+~P1(f327(f327(f235(x72931),x72933),f2(x72931)))+~P1(f327(f327(f235(x72931),x72932),f2(x72931)))+P1(f327(f327(f235(x72931),f2(x72931)),f327(f327(f291(x72931),x72932),x72933)))
% 207.24/207.90 [7294]~P126(x72941)+~P1(f327(f327(f235(a915),f2(a915)),x72943))+~P1(f327(f327(f235(x72941),f78(x72941)),x72942))+P1(f327(f327(f235(x72941),f78(x72941)),f327(f327(f244(x72941),x72942),x72943)))
% 207.24/207.90 [7394]~P111(x73941)+~P1(f327(f327(f234(x73941),f2(x73941)),x73943))+~P1(f327(f327(f234(x73941),f2(x73941)),x73942))+P1(f327(f327(f234(x73941),f2(x73941)),f327(f327(f81(x73941),x73942),x73943)))
% 207.24/207.90 [7395]~P127(x73951)+~P1(f327(f327(f234(x73951),f2(x73951)),x73953))+~P1(f327(f327(f234(x73951),f2(x73951)),x73952))+P1(f327(f327(f234(x73951),f2(x73951)),f327(f327(f81(x73951),x73952),x73953)))
% 207.24/207.90 [7396]~P135(x73961)+~P1(f327(f327(f234(x73961),f2(x73961)),x73963))+~P1(f327(f327(f234(x73961),f2(x73961)),x73962))+P1(f327(f327(f234(x73961),f2(x73961)),f327(f327(f81(x73961),x73962),x73963)))
% 207.24/207.90 [7397]~P63(x73971)+~P1(f327(f327(f234(x73971),f2(x73971)),x73973))+~P1(f327(f327(f234(x73971),f2(x73971)),x73972))+P1(f327(f327(f234(x73971),f2(x73971)),f327(f327(f291(x73971),x73972),x73973)))
% 207.24/207.90 [7398]~P64(x73981)+~P1(f327(f327(f235(x73981),f2(x73981)),x73983))+~P1(f327(f327(f234(x73981),f2(x73981)),x73982))+P1(f327(f327(f234(x73981),f2(x73981)),f327(f327(f291(x73981),x73982),x73983)))
% 207.24/207.90 [7399]~P126(x73991)+~P1(f327(f327(f235(x73991),f78(x73991)),x73993))+~P1(f327(f327(f235(x73991),f78(x73991)),x73992))+P1(f327(f327(f235(x73991),f78(x73991)),f327(f327(f81(x73991),x73992),x73993)))
% 207.24/207.90 [7402]~P88(x74021)+~P1(f327(f327(f235(x74021),f2(x74021)),x74023))+~P1(f327(f327(f235(x74021),f2(x74021)),x74022))+P1(f327(f327(f235(x74021),f2(x74021)),f327(f327(f80(x74021),x74022),x74023)))
% 207.24/207.90 [7403]~P130(x74031)+~P1(f327(f327(f235(x74031),f2(x74031)),x74033))+~P1(f327(f327(f235(x74031),f2(x74031)),x74032))+P1(f327(f327(f235(x74031),f2(x74031)),f327(f327(f81(x74031),x74032),x74033)))
% 207.24/207.90 [7404]~P63(x74041)+~P1(f327(f327(f235(x74041),f2(x74041)),x74043))+~P1(f327(f327(f235(x74041),f2(x74041)),x74042))+P1(f327(f327(f235(x74041),f2(x74041)),f327(f327(f291(x74041),x74042),x74043)))
% 207.24/207.90 [7405]~P64(x74051)+~P1(f327(f327(f235(x74051),f2(x74051)),x74053))+~P1(f327(f327(f235(x74051),f2(x74051)),x74052))+P1(f327(f327(f235(x74051),f2(x74051)),f327(f327(f291(x74051),x74052),x74053)))
% 207.24/207.90 [7484]~P108(x74841)+~P1(f327(f35(x74841),x74843))+E(f14(x74841,f327(f327(f309(x74841),x74842),x74843)),x74842)+~E(f327(f327(f23(f922(x74841,a910)),x74843),f327(f327(f309(x74841),x74842),f190(f922(x74841,a910)))),f190(f922(x74841,a910)))
% 207.24/207.90 [7485]~P108(x74851)+~P1(f327(f35(x74851),x74853))+E(f15(x74851,f327(f327(f309(x74851),x74852),x74853)),x74852)+~E(f327(f327(f23(f922(x74851,a910)),x74853),f327(f327(f309(x74851),x74852),f190(f922(x74851,a910)))),f190(f922(x74851,a910)))
% 207.24/207.90 [7486]~P96(x74861)+~P1(f327(f35(x74861),x74863))+E(f13(x74861,f327(f327(f309(x74861),x74862),x74863)),x74862)+~E(f327(f327(f23(f922(x74861,a910)),x74863),f327(f327(f309(x74861),x74862),f190(f922(x74861,a910)))),f190(f922(x74861,a910)))
% 207.24/207.90 [7487]~P96(x74871)+~P1(f327(f35(x74871),x74873))+E(f10(x74871,f327(f327(f309(x74871),x74872),x74873)),x74872)+~E(f327(f327(f23(f922(x74871,a910)),x74873),f327(f327(f309(x74871),x74872),f190(f922(x74871,a910)))),f190(f922(x74871,a910)))
% 207.24/207.90 [7489]~P127(x74891)+P1(f327(f327(f234(x74891),x74892),f2(x74891)))+P1(f327(f327(f234(x74891),f2(x74891)),x74893))+~P1(f327(f327(f234(x74891),f2(x74891)),f327(f327(f81(x74891),x74893),x74892)))
% 207.24/207.90 [7490]~P127(x74901)+P1(f327(f327(f234(x74901),x74902),f2(x74901)))+P1(f327(f327(f234(x74901),f2(x74901)),x74903))+~P1(f327(f327(f234(x74901),f2(x74901)),f327(f327(f81(x74901),x74902),x74903)))
% 207.24/207.90 [7491]~P63(x74911)+P1(f327(f327(f234(x74911),x74912),f2(x74911)))+P1(f327(f327(f234(x74911),f2(x74911)),x74913))+~P1(f327(f327(f234(x74911),f2(x74911)),f327(f327(f291(x74911),x74913),x74912)))
% 207.24/207.90 [7492]~P63(x74921)+P1(f327(f327(f234(x74921),x74922),f2(x74921)))+P1(f327(f327(f234(x74921),f2(x74921)),x74923))+~P1(f327(f327(f234(x74921),f2(x74921)),f327(f327(f291(x74921),x74922),x74923)))
% 207.24/207.90 [7493]~P127(x74931)+P1(f327(f327(f234(x74931),x74932),f2(x74931)))+P1(f327(f327(f234(x74931),f2(x74931)),x74932))+~P1(f327(f327(f234(x74931),f2(x74931)),f327(f327(f81(x74931),x74933),x74932)))
% 207.24/207.90 [7494]~P127(x74941)+P1(f327(f327(f234(x74941),x74942),f2(x74941)))+P1(f327(f327(f234(x74941),f2(x74941)),x74942))+~P1(f327(f327(f234(x74941),f2(x74941)),f327(f327(f81(x74941),x74942),x74943)))
% 207.24/207.90 [7495]~P63(x74951)+P1(f327(f327(f234(x74951),x74952),f2(x74951)))+P1(f327(f327(f234(x74951),f2(x74951)),x74952))+~P1(f327(f327(f234(x74951),f2(x74951)),f327(f327(f291(x74951),x74953),x74952)))
% 207.24/207.90 [7496]~P63(x74961)+P1(f327(f327(f234(x74961),x74962),f2(x74961)))+P1(f327(f327(f234(x74961),f2(x74961)),x74962))+~P1(f327(f327(f234(x74961),f2(x74961)),f327(f327(f291(x74961),x74962),x74963)))
% 207.24/207.90 [7497]~P63(x74971)+P1(f327(f327(f235(x74971),x74972),f2(x74971)))+P1(f327(f327(f235(x74971),f2(x74971)),x74973))+~P1(f327(f327(f235(x74971),f2(x74971)),f327(f327(f291(x74971),x74973),x74972)))
% 207.24/207.90 [7498]~P63(x74981)+P1(f327(f327(f235(x74981),x74982),f2(x74981)))+P1(f327(f327(f235(x74981),f2(x74981)),x74983))+~P1(f327(f327(f235(x74981),f2(x74981)),f327(f327(f291(x74981),x74982),x74983)))
% 207.24/207.90 [7499]~P63(x74991)+P1(f327(f327(f235(x74991),x74992),f2(x74991)))+P1(f327(f327(f235(x74991),f2(x74991)),x74992))+~P1(f327(f327(f235(x74991),f2(x74991)),f327(f327(f291(x74991),x74993),x74992)))
% 207.24/207.90 [7500]~P63(x75001)+P1(f327(f327(f235(x75001),x75002),f2(x75001)))+P1(f327(f327(f235(x75001),f2(x75001)),x75002))+~P1(f327(f327(f235(x75001),f2(x75001)),f327(f327(f291(x75001),x75002),x75003)))
% 207.24/207.90 [7585]~E(f327(f327(f103(f922(x75851,a910)),f327(f173(x75851),x75852)),f327(f173(x75851),x75853)),f190(f922(x75851,a910)))+~P1(f327(f138(x75851),x75853))+~P1(f327(f138(x75851),x75852))+P1(f327(f138(x75851),f327(f327(f135(x75851),x75852),x75853)))
% 207.24/207.90 [7586]~P108(x75861)+~P1(f327(f35(x75861),x75863))+E(f11(x75861,f189(x75861),f327(f327(f309(x75861),x75862),x75863)),x75862)+~E(f327(f327(f23(f922(x75861,a910)),x75863),f327(f327(f309(x75861),x75862),f190(f922(x75861,a910)))),f190(f922(x75861,a910)))
% 207.24/207.90 [7587]~P108(x75871)+~P1(f327(f35(x75871),x75873))+E(f12(x75871,f238(x75871),f327(f327(f309(x75871),x75872),x75873)),x75872)+~E(f327(f327(f23(f922(x75871,a910)),x75873),f327(f327(f309(x75871),x75872),f190(f922(x75871,a910)))),f190(f922(x75871,a910)))
% 207.24/207.90 [7601]~P84(x76011)+~P1(f327(f327(f234(x76011),x76012),x76013))+~P1(f327(f327(f234(x76011),f327(f79(x76011),x76012)),x76013))+P1(f327(f327(f234(x76011),f327(f75(x76011),x76012)),x76013))
% 207.24/207.90 [7602]~P119(x76021)+~P1(f327(f327(f235(x76021),x76022),x76023))+~P1(f327(f327(f235(x76021),f327(f79(x76021),x76022)),x76023))+P1(f327(f327(f235(x76021),f327(f75(x76021),x76022)),x76023))
% 207.24/207.90 [7669]~P130(x76691)+P1(f327(f327(f235(x76691),f2(x76691)),x76692))+~P1(f327(f327(f235(x76691),f2(x76691)),x76693))+~P1(f327(f327(f235(x76691),f2(x76691)),f327(f327(f81(x76691),x76693),x76692)))
% 207.24/207.90 [7670]~P130(x76701)+P1(f327(f327(f235(x76701),f2(x76701)),x76702))+~P1(f327(f327(f235(x76701),f2(x76701)),x76703))+~P1(f327(f327(f235(x76701),f2(x76701)),f327(f327(f81(x76701),x76702),x76703)))
% 207.24/207.90 [7969]E(x79691,x79692)+~P1(f327(f35(x79693),x79691))+~P1(f327(f327(f234(a915),f327(f36(x79693),x79691)),f327(f36(x79693),x79692)))+~P1(f327(f327(f234(f922(x79693,a910)),x79692),x79691))
% 207.24/207.90 [8114]~P1(f327(f327(f235(a1),x81141),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x81142))+~P1(f327(f327(f234(a1),x81142),x81143))+P1(f327(f327(f234(a1),f327(f327(f37(a1),x81141),x81142)),f327(f327(f37(a1),x81141),x81143)))
% 207.24/207.90 [8124]~P1(f327(f327(f234(a1),f2(a1)),x81241))+~P1(f327(f327(f235(a1),f2(a1)),x81243))+~P1(f327(f327(f234(a1),x81243),x81242))+P1(f327(f327(f234(a1),f327(f327(f37(a1),x81241),x81242)),f327(f327(f37(a1),x81241),x81243)))
% 207.24/207.90 [8258]E(f327(x82581,f471(x82582,x82581,x82583)),x82582)+~P1(f327(f327(f234(a1),x82582),f327(x82581,x82583)))+P1(f327(f327(f235(a915),f472(x82582,x82581,x82583)),x82583))+~P1(f327(f327(f234(a1),f327(x82581,f2(a915))),x82582))
% 207.24/207.90 [8259]E(f327(x82591,f482(x82592,x82591,x82593)),x82592)+~P1(f327(f327(f234(a1),x82592),f327(x82591,x82593)))+P1(f327(f327(f235(a915),f483(x82592,x82591,x82593)),x82593))+~P1(f327(f327(f234(a1),f327(x82591,f2(a915))),x82592))
% 207.24/207.90 [8361]~P1(f327(f35(x83611),x83613))+~P1(f327(f327(f235(a915),f327(f36(x83611),x83612)),f327(f36(x83611),x83613)))+~P1(f327(f327(f234(f922(x83611,a910)),x83612),x83613))+P1(f327(f327(f235(f922(x83611,a910)),x83612),x83613))
% 207.24/207.90 [8388]E(f327(f327(f80(a1),f425(x83883,x83881,x83882)),f426(x83883,x83881,x83882)),x83881)+E(f327(f327(f23(a1),x83881),x83882),x83881)+~P1(f327(f327(f235(a1),f2(a1)),x83882))+~P1(f327(f327(f329(a1),f327(f327(f23(a1),x83881),f78(a1))),x83883))
% 207.24/207.90 [8389]E(f327(f327(f23(a1),f432(x83893,x83891,x83892)),f433(x83893,x83891,x83892)),x83891)+E(f327(f327(f80(a1),x83891),x83892),x83891)+~P1(f327(f327(f235(a1),f2(a1)),x83892))+~P1(f327(f327(f329(a1),f327(f327(f80(a1),x83891),f78(a1))),x83893))
% 207.24/207.90 [8440]~P1(f327(f327(f234(a915),x84403),x84401))+P1(f327(f327(f234(a915),x84401),x84402))+~P1(f327(f327(f234(a915),x84403),x84402))+~P1(f327(f327(f234(a915),f327(f327(f23(a915),x84401),x84403)),f327(f327(f23(a915),x84402),x84403)))
% 207.24/207.90 [8441]~P1(f327(f327(f234(a915),x84413),x84411))+P1(f327(f327(f235(a915),x84411),x84412))+~P1(f327(f327(f234(a915),x84413),x84412))+~P1(f327(f327(f235(a915),f327(f327(f23(a915),x84411),x84413)),f327(f327(f23(a915),x84412),x84413)))
% 207.24/207.90 [8460]~P108(x84602)+E(x84601,f114(x84602))+~P11(x84602,f327(f169(x84602),x84601))+E(f327(f143(x84602,x84602,f327(f7(x84602,x84602,x84602),f189(x84602)),x84603),f327(f169(x84602),x84601)),f327(f327(f189(x84602),f327(f327(f165(x84602),x84601),f2(a915))),x84603))
% 207.24/207.90 [8528]E(f327(f327(f23(a1),x85281),x85282),x85281)+~P1(f327(f327(f235(a1),f2(a1)),x85282))+P1(f327(f327(f329(a1),f425(x85283,x85281,x85282)),x85283))+~P1(f327(f327(f329(a1),f327(f327(f23(a1),x85281),f78(a1))),x85283))
% 207.24/207.90 [8529]E(f327(f327(f80(a1),x85291),x85292),x85291)+~P1(f327(f327(f235(a1),f2(a1)),x85292))+P1(f327(f327(f329(a1),f432(x85293,x85291,x85292)),x85293))+~P1(f327(f327(f329(a1),f327(f327(f80(a1),x85291),f78(a1))),x85293))
% 207.24/207.90 [8601]~P1(f327(f327(f234(a1),x86011),f327(x86012,x86013)))+P1(f327(f327(f235(a915),f472(x86011,x86012,x86013)),x86013))+P1(f327(f327(f234(a915),f471(x86011,x86012,x86013)),x86013))+~P1(f327(f327(f234(a1),f327(x86012,f2(a915))),x86011))
% 207.24/207.90 [8602]~P1(f327(f327(f234(a1),x86021),f327(x86022,x86023)))+P1(f327(f327(f235(a915),f483(x86021,x86022,x86023)),x86023))+P1(f327(f327(f234(a915),f482(x86021,x86022,x86023)),x86023))+~P1(f327(f327(f234(a1),f327(x86022,f2(a915))),x86021))
% 207.24/207.90 [8674]E(f327(f327(f23(a1),x86741),x86742),x86741)+~P1(f327(f327(f235(a1),f2(a1)),x86742))+P1(f327(f327(f329(a1),f426(x86743,x86741,x86742)),f303(a1,f78(a1),x86742)))+~P1(f327(f327(f329(a1),f327(f327(f23(a1),x86741),f78(a1))),x86743))
% 207.24/207.90 [8675]E(f327(f327(f80(a1),x86751),x86752),x86751)+~P1(f327(f327(f235(a1),f2(a1)),x86752))+P1(f327(f327(f329(a1),f433(x86753,x86751,x86752)),f303(a1,f78(a1),x86752)))+~P1(f327(f327(f329(a1),f327(f327(f80(a1),x86751),f78(a1))),x86753))
% 207.24/207.90 [8808]~P126(x88081)+~P1(f327(f327(f235(x88081),x88082),f78(x88081)))+~P1(f327(f327(f235(x88081),f2(x88081)),x88082))+P1(f327(f327(f235(x88081),f327(f327(f81(x88081),x88082),f327(f327(f244(x88081),x88082),x88083))),f327(f327(f244(x88081),x88082),x88083)))
% 207.24/207.90 [8901]~P1(f327(x89011,x89012))+P1(f327(x89011,f2(a915)))+~P1(f327(f327(f235(a915),x89012),x89013))+~P1(f327(x89011,f46(a915,f327(a113,f502(x89012,x89011,x89013)),x89013)))
% 207.24/207.90 [9053]E(f529(x90531,x90532,x90533),f2(a915))+P1(f327(f327(x90531,x90533),x90532))+P1(f327(f327(x90531,f529(x90531,x90532,x90533)),f46(a915,f528(x90531,x90532,x90533),f529(x90531,x90532,x90533))))+~P1(f327(f315(f921(a915,a915),a221),f327(f327(f252(a915,a915),x90533),x90532)))
% 207.24/207.90 [9091]~P23(x90911,x90911,x90912,x90913)+E(f327(f310(x90911,x90911,x90912),x90913),x90913)+~P1(f327(f35(x90911),x90913))+~P1(f327(f327(f234(f922(x90911,a910)),f327(f310(x90911,x90911,x90912),x90913)),x90913))
% 207.24/207.90 [9308]P1(f327(f327(x93081,x93082),x93083))+P1(f327(f327(f235(a1),f767(x93081,x93083,x93082)),f769(x93081,x93083,x93082)))+P1(f327(f327(x93081,f767(x93081,x93083,x93082)),f327(f327(f80(a1),f769(x93081,x93083,x93082)),f78(a1))))+~P1(f327(f315(f921(a1,a1),a134),f327(f327(f252(a1,a1),x93082),x93083)))
% 207.24/207.90 [9325]P1(f327(f327(x93251,x93252),x93253))+~P1(f327(f327(f235(a1),f526(x93251,x93253,x93252)),f2(a1)))+P1(f327(f327(x93251,f327(f79(a1),f525(x93251,x93253,x93252))),f327(f79(a1),f526(x93251,x93253,x93252))))+~P1(f327(f315(f921(a1,a1),a223),f327(f327(f252(a1,a1),x93252),x93253)))
% 207.24/207.90 [9511]P1(f327(f327(x95111,x95112),x95113))+P1(f327(f327(x95111,f327(f327(f80(a1),f673(x95111,x95113,x95112)),f78(a1))),f675(x95111,x95113,x95112)))+~P1(f327(f327(f234(a1),f673(x95111,x95113,x95112)),f675(x95111,x95113,x95112)))+~P1(f327(f315(f921(a1,a1),a183),f327(f327(f252(a1,a1),x95112),x95113)))
% 207.24/207.90 [9947]~P60(x99472)+~P60(x99471)+~P1(f327(f57(f921(x99471,x99472)),x99473))+P1(f327(f57(x99471),f327(f327(f8(f922(x99472,a910),a910,x99471),f57(x99472)),f327(f327(f8(f922(x99472,f921(x99471,x99472)),f922(x99472,a910),x99471),f327(f8(f921(x99471,x99472),a910,x99472),x99473)),f252(x99471,x99472)))))
% 207.24/207.90 [9948]~P60(x99482)+~P60(x99481)+~P1(f327(f58(f921(x99481,x99482)),x99483))+P1(f327(f58(x99481),f327(f327(f8(f922(x99482,a910),a910,x99481),f58(x99482)),f327(f327(f8(f922(x99482,f921(x99481,x99482)),f922(x99482,a910),x99481),f327(f8(f921(x99481,x99482),a910,x99482),x99483)),f252(x99481,x99482)))))
% 207.24/207.90 [10043]~P60(x100432)+~P60(x100431)+P1(f327(f57(f921(x100431,x100432)),x100433))+~P1(f327(f57(x100431),f327(f327(f8(f922(x100432,a910),a910,x100431),f57(x100432)),f327(f327(f8(f922(x100432,f921(x100431,x100432)),f922(x100432,a910),x100431),f327(f8(f921(x100431,x100432),a910,x100432),x100433)),f252(x100431,x100432)))))
% 207.24/207.90 [10044]~P60(x100442)+~P60(x100441)+P1(f327(f58(f921(x100441,x100442)),x100443))+~P1(f327(f58(x100441),f327(f327(f8(f922(x100442,a910),a910,x100441),f58(x100442)),f327(f327(f8(f922(x100442,f921(x100441,x100442)),f922(x100442,a910),x100441),f327(f8(f921(x100441,x100442),a910,x100442),x100443)),f252(x100441,x100442)))))
% 207.24/207.90 [10218]E(f327(x102181,f471(x102182,x102181,x102183)),x102182)+~P1(f327(f327(f234(a1),x102182),f327(x102181,x102183)))+~P1(f327(f327(f234(a1),f327(f75(a1),f327(f327(f23(a1),f327(x102181,f327(f327(f80(a915),f472(x102182,x102181,x102183)),f78(a915)))),f327(x102181,f472(x102182,x102181,x102183))))),f78(a1)))+~P1(f327(f327(f234(a1),f327(x102181,f2(a915))),x102182))
% 207.24/207.90 [10219]E(f327(x102191,f482(x102192,x102191,x102193)),x102192)+~P1(f327(f327(f234(a1),x102192),f327(x102191,x102193)))+~P1(f327(f327(f234(a1),f327(f75(a1),f327(f327(f23(a1),f327(x102191,f327(f327(f80(a915),f483(x102192,x102191,x102193)),f78(a915)))),f327(x102191,f483(x102192,x102191,x102193))))),f78(a1)))+~P1(f327(f327(f234(a1),f327(x102191,f2(a915))),x102192))
% 207.24/207.90 [10222]~P1(f327(f327(f234(a1),x102221),f327(x102222,x102223)))+~P1(f327(f327(f234(a1),f327(f75(a1),f327(f327(f23(a1),f327(x102222,f327(f327(f80(a915),f472(x102221,x102222,x102223)),f78(a915)))),f327(x102222,f472(x102221,x102222,x102223))))),f78(a1)))+P1(f327(f327(f234(a915),f471(x102221,x102222,x102223)),x102223))+~P1(f327(f327(f234(a1),f327(x102222,f2(a915))),x102221))
% 207.24/207.90 [10223]~P1(f327(f327(f234(a1),x102231),f327(x102232,x102233)))+~P1(f327(f327(f234(a1),f327(f75(a1),f327(f327(f23(a1),f327(x102232,f327(f327(f80(a915),f483(x102231,x102232,x102233)),f78(a915)))),f327(x102232,f483(x102231,x102232,x102233))))),f78(a1)))+P1(f327(f327(f234(a915),f482(x102231,x102232,x102233)),x102233))+~P1(f327(f327(f234(a1),f327(x102232,f2(a915))),x102231))
% 207.24/207.90 [10282]E(x102821,x102822)+~E(f327(f143(f916(x102823),f916(x102823),f135(x102823),f114(x102823)),x102821),f327(f143(f916(x102823),f916(x102823),f135(x102823),f114(x102823)),x102822))+~E(f327(f191(f916(f916(x102823))),x102821),f327(f191(f916(f916(x102823))),x102822))+~P1(f327(f327(f257(f916(x102823),f916(x102823),a910),f327(f327(f7(f916(x102823),f922(f916(x102823),a915),f922(f916(x102823),a910)),f327(f327(f8(f922(a915,a910),f922(f922(f916(x102823),a915),f922(f916(x102823),a910)),f916(x102823)),f8(a915,a910,f916(x102823))),f327(f327(f8(a915,f922(a915,a910),f916(x102823)),a324),f191(f916(x102823))))),f191(f916(x102823)))),f699(x102821,x102822,x102823)))
% 207.24/207.90 [10283]E(x102831,x102832)+~E(f327(f143(f916(x102833),f916(x102833),f135(x102833),f114(x102833)),x102831),f327(f143(f916(x102833),f916(x102833),f135(x102833),f114(x102833)),x102832))+~E(f327(f191(f916(f916(x102833))),x102831),f327(f191(f916(f916(x102833))),x102832))+~P1(f327(f327(f257(f916(x102833),f916(x102833),a910),f327(f327(f7(f916(x102833),f922(f916(x102833),a915),f922(f916(x102833),a910)),f327(f327(f8(f922(a915,a910),f922(f922(f916(x102833),a915),f922(f916(x102833),a910)),f916(x102833)),f8(a915,a910,f916(x102833))),f327(f327(f8(a915,f922(a915,a910),f916(x102833)),a324),f191(f916(x102833))))),f191(f916(x102833)))),f700(x102832,x102831,x102833)))
% 207.24/207.90 [6995]~E(f78(a915),f2(a915))+~P1(f327(f35(x69951),x69953))+~P1(f327(f35(x69951),x69952))+E(f327(f327(f80(a915),f327(f36(x69951),x69952)),f327(f36(x69951),x69953)),f327(f36(x69951),f327(f327(f102(f922(x69951,a910)),x69952),x69953)))
% 207.24/207.90 [7412]~P108(x74121)+~P1(f327(f35(x74121),x74122))+~P1(f327(f327(f329(x74121),x74123),x74122))+P1(f327(f327(f234(x74121),f327(f63(x74121,f238(x74121)),x74122)),x74123))
% 207.24/207.90 [7413]~P102(x74131)+~P1(f327(f35(x74131),x74132))+~P1(f327(f327(f329(x74131),x74133),x74132))+P1(f327(f327(f234(x74131),f327(f63(x74131,f103(x74131)),x74132)),x74133))
% 207.24/207.90 [7663]~P1(f327(f35(x76631),x76633))+~P1(f327(f35(x76631),x76632))+~E(f327(f327(f103(f922(x76631,a910)),x76632),x76633),f190(f922(x76631,a910)))+E(f327(f327(f80(a915),f327(f36(x76631),x76632)),f327(f36(x76631),x76633)),f327(f36(x76631),f327(f327(f102(f922(x76631,a910)),x76632),x76633)))
% 207.24/207.90 [8446]~P35(x84461,x84463)+~P35(x84461,x84462)+~E(f327(f327(f103(f922(x84461,a910)),f327(f264(x84461,x84461),x84462)),f327(f284(x84461,x84461),x84463)),f190(f922(x84461,a910)))+P35(x84461,f327(f327(f102(f922(f921(x84461,x84461),a910)),x84462),x84463))
% 207.24/207.90 [8540]E(x85401,f327(f327(f37(a915),x85402),x85403))+~P1(f327(f327(f235(a915),f2(a915)),x85403))+~P1(f327(f327(f235(a915),x85402),f327(f327(f81(a915),x85403),f327(a113,x85401))))+~P1(f327(f327(f234(a915),f327(f327(f81(a915),x85403),x85401)),x85402))
% 207.24/207.90 [8672]~P1(f327(f35(x86721),x86722))+~P1(f327(f35(x86721),x86723))+E(f327(f327(f80(a915),f327(f36(x86721),x86722)),f327(f36(x86721),x86723)),f327(f36(x86721),f327(f327(f102(f922(x86721,a910)),x86722),x86723)))+P1(f327(f327(f329(x86721),f373(x86723,x86722,x86721)),f327(f327(f103(f922(x86721,a910)),x86722),x86723)))
% 207.24/207.90 [9065]~P127(x90652)+~E(x90651,f2(x90652))+~E(x90653,f2(x90652))+~P1(f327(f327(f235(x90652),f2(x90652)),f327(f327(f80(x90652),f327(f327(f81(x90652),x90653),x90653)),f327(f327(f81(x90652),x90651),x90651))))
% 207.24/207.90 [9592]~P35(x95921,x95923)+~P35(x95921,x95922)+P35(x95921,f327(f327(f102(f922(f921(x95921,x95921),a910)),x95922),x95923))+~P1(f327(f327(f234(f922(f921(x95921,x95921),a910)),f327(f327(f289(x95921,x95921,x95921),x95922),x95923)),x95922))
% 207.24/207.90 [9722]~P1(f327(x97221,x97223))+~P1(f327(f35(x97222),x97223))+P1(f327(x97221,f190(f922(x97222,a910))))+~P1(f327(x97221,f327(f327(f23(f922(x97222,a910)),f418(x97221,x97223,x97222)),f327(f327(f309(x97222),f419(x97221,x97223,x97222)),f190(f922(x97222,a910))))))
% 207.24/207.90 [8848]~P1(f327(f327(f235(a1),f2(a1)),x88483))+P1(f327(f327(f234(a1),f2(a1)),x88481))+~P1(f327(f327(f235(a1),x88482),x88483))+~P1(f327(f327(f234(a1),f2(a1)),f327(f327(f80(a1),f327(f327(f81(a1),x88483),x88481)),x88482)))
% 207.24/207.90 [8872]~P108(x88721)+~P1(f327(f35(x88721),x88722))+E(f327(f327(f23(f922(x88721,a910)),x88722),f327(f327(f309(x88721),x88723),f190(f922(x88721,a910)))),f190(f922(x88721,a910)))+E(f327(f327(f189(x88721),x88723),f14(x88721,f327(f327(f23(f922(x88721,a910)),x88722),f327(f327(f309(x88721),x88723),f190(f922(x88721,a910)))))),f14(x88721,f327(f327(f309(x88721),x88723),x88722)))
% 207.24/207.90 [8873]~P108(x88731)+~P1(f327(f35(x88731),x88732))+E(f327(f327(f23(f922(x88731,a910)),x88732),f327(f327(f309(x88731),x88733),f190(f922(x88731,a910)))),f190(f922(x88731,a910)))+E(f327(f327(f238(x88731),x88733),f15(x88731,f327(f327(f23(f922(x88731,a910)),x88732),f327(f327(f309(x88731),x88733),f190(f922(x88731,a910)))))),f15(x88731,f327(f327(f309(x88731),x88733),x88732)))
% 207.24/207.90 [8874]~P96(x88741)+~P1(f327(f35(x88741),x88742))+E(f327(f327(f23(f922(x88741,a910)),x88742),f327(f327(f309(x88741),x88743),f190(f922(x88741,a910)))),f190(f922(x88741,a910)))+E(f327(f327(f102(x88741),x88743),f13(x88741,f327(f327(f23(f922(x88741,a910)),x88742),f327(f327(f309(x88741),x88743),f190(f922(x88741,a910)))))),f13(x88741,f327(f327(f309(x88741),x88743),x88742)))
% 207.24/207.90 [8875]~P96(x88751)+~P1(f327(f35(x88751),x88752))+E(f327(f327(f23(f922(x88751,a910)),x88752),f327(f327(f309(x88751),x88753),f190(f922(x88751,a910)))),f190(f922(x88751,a910)))+E(f327(f327(f103(x88751),x88753),f10(x88751,f327(f327(f23(f922(x88751,a910)),x88752),f327(f327(f309(x88751),x88753),f190(f922(x88751,a910)))))),f10(x88751,f327(f327(f309(x88751),x88753),x88752)))
% 207.24/207.90 [8947]~P108(x89471)+~P1(f327(f35(x89471),x89472))+E(f327(f327(f23(f922(x89471,a910)),x89472),f327(f327(f309(x89471),x89473),f190(f922(x89471,a910)))),f190(f922(x89471,a910)))+E(f327(f327(f189(x89471),x89473),f11(x89471,f189(x89471),f327(f327(f23(f922(x89471,a910)),x89472),f327(f327(f309(x89471),x89473),f190(f922(x89471,a910)))))),f11(x89471,f189(x89471),f327(f327(f309(x89471),x89473),x89472)))
% 207.24/207.90 [8948]~P108(x89481)+~P1(f327(f35(x89481),x89482))+E(f327(f327(f23(f922(x89481,a910)),x89482),f327(f327(f309(x89481),x89483),f190(f922(x89481,a910)))),f190(f922(x89481,a910)))+E(f327(f327(f238(x89481),x89483),f12(x89481,f238(x89481),f327(f327(f23(f922(x89481,a910)),x89482),f327(f327(f309(x89481),x89483),f190(f922(x89481,a910)))))),f12(x89481,f238(x89481),f327(f327(f309(x89481),x89483),x89482)))
% 207.24/207.90 [9530]E(x95301,x95302)+~E(f327(f143(f916(x95303),f916(x95303),f135(x95303),f114(x95303)),x95301),f327(f143(f916(x95303),f916(x95303),f135(x95303),f114(x95303)),x95302))+~E(f327(f191(f916(f916(x95303))),x95301),f327(f191(f916(f916(x95303))),x95302))+P1(f327(f327(f329(f921(f916(x95303),f916(x95303))),f699(x95301,x95302,x95303)),f327(f173(f921(f916(x95303),f916(x95303))),f327(f327(f182(f916(x95303),f916(x95303)),x95302),x95301))))
% 207.24/207.90 [9531]E(x95311,x95312)+~E(f327(f143(f916(x95313),f916(x95313),f135(x95313),f114(x95313)),x95311),f327(f143(f916(x95313),f916(x95313),f135(x95313),f114(x95313)),x95312))+~E(f327(f191(f916(f916(x95313))),x95311),f327(f191(f916(f916(x95313))),x95312))+P1(f327(f327(f329(f921(f916(x95313),f916(x95313))),f700(x95312,x95311,x95313)),f327(f173(f921(f916(x95313),f916(x95313))),f327(f327(f182(f916(x95313),f916(x95313)),x95311),x95312))))
% 207.24/207.90 [10390]~P77(x103902)+E(x103901,f190(f922(x103902,a910)))+~P1(f327(f35(x103902),x103901))+E(f14(x103902,f327(f262(x103902),f327(f327(f8(f922(x103902,a910),a910,x103902),f87(x103902)),f327(f327(f7(x103902,f922(x103902,a910),f922(x103902,a910)),f327(f327(f8(f922(x103902,f922(a910,a910)),f922(f922(x103902,a910),f922(x103902,a910)),x103902),f18(x103902,a910,a910)),f327(f327(f8(f922(x103902,a910),f922(x103902,f922(a910,a910)),x103902),f327(f8(a910,f922(a910,a910),x103902),a325)),f327(f327(f7(x103902,f922(x103902,x103902),f922(x103902,a910)),f327(f327(f8(f922(x103902,a910),f922(f922(x103902,x103902),f922(x103902,a910)),x103902),f8(x103902,a910,x103902)),a324)),f327(f80(x103902),x103903))))),f327(f327(f7(x103902,f922(x103902,a910),a910),f329(x103902)),x103901))))),f327(f327(f80(x103902),x103903),f14(x103902,x103901)))
% 207.24/207.90 [10391]~P77(x103912)+E(x103911,f190(f922(x103912,a910)))+~P1(f327(f35(x103912),x103911))+E(f15(x103912,f327(f262(x103912),f327(f327(f8(f922(x103912,a910),a910,x103912),f87(x103912)),f327(f327(f7(x103912,f922(x103912,a910),f922(x103912,a910)),f327(f327(f8(f922(x103912,f922(a910,a910)),f922(f922(x103912,a910),f922(x103912,a910)),x103912),f18(x103912,a910,a910)),f327(f327(f8(f922(x103912,a910),f922(x103912,f922(a910,a910)),x103912),f327(f8(a910,f922(a910,a910),x103912),a325)),f327(f327(f7(x103912,f922(x103912,x103912),f922(x103912,a910)),f327(f327(f8(f922(x103912,a910),f922(f922(x103912,x103912),f922(x103912,a910)),x103912),f8(x103912,a910,x103912)),a324)),f327(f80(x103912),x103913))))),f327(f327(f7(x103912,f922(x103912,a910),a910),f329(x103912)),x103911))))),f327(f327(f80(x103912),x103913),f15(x103912,x103911)))
% 207.24/207.90 [10392]~P100(x103922)+E(x103921,f190(f922(x103922,a910)))+~P1(f327(f35(x103922),x103921))+E(f10(x103922,f327(f262(x103922),f327(f327(f8(f922(x103922,a910),a910,x103922),f87(x103922)),f327(f327(f7(x103922,f922(x103922,a910),f922(x103922,a910)),f327(f327(f8(f922(x103922,f922(a910,a910)),f922(f922(x103922,a910),f922(x103922,a910)),x103922),f18(x103922,a910,a910)),f327(f327(f8(f922(x103922,a910),f922(x103922,f922(a910,a910)),x103922),f327(f8(a910,f922(a910,a910),x103922),a325)),f327(f327(f7(x103922,f922(x103922,x103922),f922(x103922,a910)),f327(f327(f8(f922(x103922,a910),f922(f922(x103922,x103922),f922(x103922,a910)),x103922),f8(x103922,a910,x103922)),a324)),f327(f102(x103922),x103923))))),f327(f327(f7(x103922,f922(x103922,a910),a910),f329(x103922)),x103921))))),f327(f327(f102(x103922),x103923),f10(x103922,x103921)))
% 207.24/207.90 [10393]~P100(x103932)+E(x103931,f190(f922(x103932,a910)))+~P1(f327(f35(x103932),x103931))+E(f13(x103932,f327(f262(x103932),f327(f327(f8(f922(x103932,a910),a910,x103932),f87(x103932)),f327(f327(f7(x103932,f922(x103932,a910),f922(x103932,a910)),f327(f327(f8(f922(x103932,f922(a910,a910)),f922(f922(x103932,a910),f922(x103932,a910)),x103932),f18(x103932,a910,a910)),f327(f327(f8(f922(x103932,a910),f922(x103932,f922(a910,a910)),x103932),f327(f8(a910,f922(a910,a910),x103932),a325)),f327(f327(f7(x103932,f922(x103932,x103932),f922(x103932,a910)),f327(f327(f8(f922(x103932,a910),f922(f922(x103932,x103932),f922(x103932,a910)),x103932),f8(x103932,a910,x103932)),a324)),f327(f103(x103932),x103933))))),f327(f327(f7(x103932,f922(x103932,a910),a910),f329(x103932)),x103931))))),f327(f327(f103(x103932),x103933),f13(x103932,x103931)))
% 207.24/207.90 [10394]~P108(x103942)+E(x103941,f190(f922(x103942,a910)))+~P1(f327(f35(x103942),x103941))+E(f11(x103942,f189(x103942),f327(f262(x103942),f327(f327(f8(f922(x103942,a910),a910,x103942),f87(x103942)),f327(f327(f7(x103942,f922(x103942,a910),f922(x103942,a910)),f327(f327(f8(f922(x103942,f922(a910,a910)),f922(f922(x103942,a910),f922(x103942,a910)),x103942),f18(x103942,a910,a910)),f327(f327(f8(f922(x103942,a910),f922(x103942,f922(a910,a910)),x103942),f327(f8(a910,f922(a910,a910),x103942),a325)),f327(f327(f7(x103942,f922(x103942,x103942),f922(x103942,a910)),f327(f327(f8(f922(x103942,a910),f922(f922(x103942,x103942),f922(x103942,a910)),x103942),f8(x103942,a910,x103942)),a324)),f327(f238(x103942),x103943))))),f327(f327(f7(x103942,f922(x103942,a910),a910),f329(x103942)),x103941))))),f327(f327(f238(x103942),x103943),f11(x103942,f189(x103942),x103941)))
% 207.24/207.90 [10395]~P108(x103952)+E(x103951,f190(f922(x103952,a910)))+~P1(f327(f35(x103952),x103951))+E(f12(x103952,f238(x103952),f327(f262(x103952),f327(f327(f8(f922(x103952,a910),a910,x103952),f87(x103952)),f327(f327(f7(x103952,f922(x103952,a910),f922(x103952,a910)),f327(f327(f8(f922(x103952,f922(a910,a910)),f922(f922(x103952,a910),f922(x103952,a910)),x103952),f18(x103952,a910,a910)),f327(f327(f8(f922(x103952,a910),f922(x103952,f922(a910,a910)),x103952),f327(f8(a910,f922(a910,a910),x103952),a325)),f327(f327(f7(x103952,f922(x103952,x103952),f922(x103952,a910)),f327(f327(f8(f922(x103952,a910),f922(f922(x103952,x103952),f922(x103952,a910)),x103952),f8(x103952,a910,x103952)),a324)),f327(f189(x103952),x103953))))),f327(f327(f7(x103952,f922(x103952,a910),a910),f329(x103952)),x103951))))),f327(f327(f189(x103952),x103953),f12(x103952,f238(x103952),x103951)))
% 207.24/207.90 [10108]~P119(x101081)+~E(x101083,f2(x101081))+~E(x101082,f2(x101081))+E(f327(f327(f80(x101081),f327(f327(f244(x101081),x101082),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x101081),x101083),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f2(x101081))
% 207.24/207.90 [10263]~P126(x102631)+~P1(f327(f327(f234(x102631),f2(x102631)),x102633))+P1(f327(f327(f234(x102631),x102632),x102633))+~P1(f327(f327(f234(x102631),f327(f327(f244(x102631),x102632),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x102631),x102633),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))))
% 207.24/207.90 [10321]~P119(x103212)+~E(x103211,f2(x103212))+~E(x103213,f2(x103212))+~P1(f327(f327(f235(x103212),f2(x103212)),f327(f327(f80(x103212),f327(f327(f244(x103212),x103213),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98))))),f327(f327(f244(x103212),x103211),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))))
% 207.24/207.90 [6876]~P5(x68763,x68762)+~P1(f327(x68761,x68764))+~P1(f327(f327(f329(x68763),x68764),f270(x68763,x68762)))+P1(f327(x68761,f816(x68761,x68762,x68763)))
% 207.24/207.90 [8783]P24(x87831,x87832,f820(x87833,x87832,x87834,x87831),x87834,x87833)+~E(f327(f36(x87831),x87834),f327(f36(x87832),x87833))+~P1(f327(f35(x87832),x87833))+~P1(f327(f35(x87831),x87834))
% 207.24/207.90 [9493]E(x94931,x94932)+~E(f651(x94931,x94932,x94934,x94933),f652(x94931,x94932,x94934,x94933))+P1(f327(f327(f329(f921(f916(x94933),f916(x94933))),f327(f327(f252(f916(x94933),f916(x94933)),x94932),x94931)),f148(x94933,x94934)))+P1(f327(f327(f329(f921(f916(x94933),f916(x94933))),f327(f327(f252(f916(x94933),f916(x94933)),x94931),x94932)),f148(x94933,x94934)))
% 207.24/207.90 [5015]~P61(x50152)+~E(x50154,f2(x50152))+~E(x50151,f2(x50152))+E(x50151,f327(f327(f291(x50152),x50153),x50154))
% 207.24/207.90 [5016]~P61(x50161)+~E(x50163,f2(x50161))+~E(x50164,f2(x50161))+E(f327(f327(f291(x50161),x50162),x50163),x50164)
% 207.24/207.90 [5132]~P61(x51322)+E(x51321,f2(x51322))+~E(x51323,f2(x51322))+~E(x51321,f327(f327(f291(x51322),x51324),x51323))
% 207.24/207.90 [5133]~P61(x51332)+E(x51331,f2(x51332))+~E(x51333,f2(x51332))+~E(f327(f327(f291(x51332),x51334),x51333),x51331)
% 207.24/207.90 [5314]~P122(x53142)+E(x53141,f2(x53142))+~E(f327(f327(f291(x53142),x53143),x53141),x53144)+E(x53143,f327(f327(f81(x53142),x53144),x53141))
% 207.24/207.90 [5316]~P122(x53162)+E(x53161,f2(x53162))+~E(f327(f327(f81(x53162),x53163),x53161),x53164)+E(x53163,f327(f327(f291(x53162),x53164),x53161))
% 207.24/207.90 [5317]~P61(x53172)+E(x53171,f2(x53172))+~E(f327(f327(f291(x53172),x53173),x53171),x53174)+E(x53173,f327(f327(f81(x53172),x53174),x53171))
% 207.24/207.90 [5318]~P61(x53182)+E(x53181,f2(x53182))+~E(f327(f327(f81(x53182),x53183),x53181),x53184)+E(x53183,f327(f327(f291(x53182),x53184),x53181))
% 207.24/207.90 [5319]~P122(x53192)+E(x53191,f2(x53192))+~E(x53193,f327(f327(f291(x53192),x53194),x53191))+E(f327(f327(f81(x53192),x53193),x53191),x53194)
% 207.24/207.90 [5321]~P122(x53212)+E(x53211,f2(x53212))+~E(x53213,f327(f327(f81(x53212),x53214),x53211))+E(f327(f327(f291(x53212),x53213),x53211),x53214)
% 207.24/207.90 [5322]~P61(x53222)+E(x53221,f2(x53222))+~E(x53223,f327(f327(f291(x53222),x53224),x53221))+E(f327(f327(f81(x53222),x53223),x53221),x53224)
% 207.24/207.90 [5323]~P61(x53232)+E(x53231,f2(x53232))+~E(x53233,f327(f327(f81(x53232),x53234),x53231))+E(f327(f327(f291(x53232),x53233),x53231),x53234)
% 207.24/207.90 [5347]~P61(x53472)+~E(x53471,f2(x53472))+~E(f327(f327(f81(x53472),x53471),x53474),x53473)+E(x53471,f327(f327(f291(x53472),x53473),x53474))
% 207.24/207.90 [5348]~P61(x53481)+~E(x53484,f2(x53481))+~E(x53482,f327(f327(f81(x53481),x53484),x53483))+E(f327(f327(f291(x53481),x53482),x53483),x53484)
% 207.24/207.90 [5421]~E(x54213,x54214)+~E(x54212,x54213)+~P110(x54211)+E(f303(x54211,x54212,x54213),f327(f327(f309(x54211),x54214),f190(f922(x54211,a910))))
% 207.24/207.90 [5629]~E(f115(x56292,x56291),x56293)+~E(f145(x56292,x56291),x56294)+E(x56291,f114(x56292))+E(f327(f327(f135(x56292),x56293),f327(f327(f152(x56292),x56294),f114(x56292))),x56291)
% 207.24/207.90 [6266]~P126(x62663)+E(x62661,x62662)+~E(f327(f327(f244(x62663),x62664),x62661),f327(f327(f244(x62663),x62664),x62662))+~P1(f327(f327(f235(x62663),f78(x62663)),x62664))
% 207.24/207.90 [6267]E(x62671,x62672)+~E(f327(f327(f309(x62673),x62674),x62671),f327(f327(f309(x62673),x62674),x62672))+P1(f327(f327(f329(x62673),x62674),x62672))+P1(f327(f327(f329(x62673),x62674),x62671))
% 207.24/207.90 [6310]E(f327(x63101,x63102),f78(a915))+~E(f327(f327(f9(x63103,a915),x63101),x63104),f78(a915))+~P1(f327(f35(x63103),x63104))+~P1(f327(f327(f329(x63103),x63102),x63104))
% 207.24/207.90 [6311]E(f327(x63111,x63112),f2(a915))+~E(f327(f327(f6(x63113,a915),x63111),x63114),f2(a915))+~P1(f327(f35(x63113),x63114))+~P1(f327(f327(f329(x63113),x63112),x63114))
% 207.24/207.90 [6532]~P110(x65321)+~P1(f327(f327(f234(x65321),x65324),x65323))+P1(f327(f327(f234(x65321),x65322),x65323))+~P1(f327(f327(f234(x65321),x65322),x65324))
% 207.24/207.90 [6533]~P107(x65331)+~P1(f327(f327(f234(x65331),x65332),x65334))+P1(f327(f327(f234(x65331),x65332),x65333))+~P1(f327(f327(f234(x65331),x65334),x65333))
% 207.24/207.90 [6534]~P110(x65341)+~P1(f327(f327(f235(x65341),x65344),x65343))+P1(f327(f327(f235(x65341),x65342),x65343))+~P1(f327(f327(f234(x65341),x65342),x65344))
% 207.24/207.90 [6535]~P110(x65351)+~P1(f327(f327(f235(x65351),x65352),x65354))+P1(f327(f327(f235(x65351),x65352),x65353))+~P1(f327(f327(f234(x65351),x65354),x65353))
% 207.24/207.90 [6536]~P110(x65361)+~P1(f327(f327(f235(x65361),x65364),x65363))+P1(f327(f327(f235(x65361),x65362),x65363))+~P1(f327(f327(f235(x65361),x65362),x65364))
% 207.24/207.90 [6537]~P107(x65371)+~P1(f327(f327(f235(x65371),x65372),x65374))+P1(f327(f327(f235(x65371),x65372),x65373))+~P1(f327(f327(f234(x65371),x65374),x65373))
% 207.24/207.90 [6538]~P107(x65381)+~P1(f327(f327(f235(x65381),x65384),x65383))+P1(f327(f327(f235(x65381),x65382),x65383))+~P1(f327(f327(f234(x65381),x65382),x65384))
% 207.24/207.90 [6539]~P107(x65391)+~P1(f327(f327(f235(x65391),x65392),x65394))+P1(f327(f327(f235(x65391),x65392),x65393))+~P1(f327(f327(f235(x65391),x65394),x65393))
% 207.24/207.90 [6540]~P112(x65401)+~P1(f327(f327(f287(x65401),x65402),x65404))+P1(f327(f327(f287(x65401),x65402),x65403))+~P1(f327(f327(f287(x65401),x65404),x65403))
% 207.24/207.90 [6619]~P33(x66194,x66193,x66192)+E(x66191,f752(x66192,x66193,x66194))+~P1(f327(x66193,x66191))+~P1(f327(f327(f329(x66194),x66191),f327(f173(x66194),x66192)))
% 207.24/207.90 [6620]~P33(x66204,x66203,x66202)+E(x66201,f762(x66202,x66203,x66204))+~P1(f327(x66203,x66201))+~P1(f327(f327(f329(x66204),x66201),f327(f173(x66204),x66202)))
% 207.24/207.90 [6769]~P3(x67691)+~P1(f327(f327(f234(x67691),x67692),f39(x67691,x67694)))+P1(f327(f327(f234(x67691),x67692),x67693))+~P1(f327(f327(f329(x67691),x67693),x67694))
% 207.24/207.90 [6917]~P108(x69171)+~P11(x69171,f327(f327(f152(x69171),x69172),x69174))+~P1(f327(f327(f329(x69171),x69173),f327(f173(x69171),x69174)))+P1(f327(f327(f234(x69171),x69172),x69173))
% 207.24/207.90 [7005]~P3(x70051)+~P1(f327(f327(f234(x70051),f38(x70051,x70054)),x70053))+P1(f327(f327(f234(x70051),x70052),x70053))+~P1(f327(f327(f329(x70051),x70052),x70054))
% 207.24/207.90 [7147]~P58(x71471)+P1(f327(f327(f287(x71471),x71472),f46(x71471,x71473,x71474)))+~P1(f327(f327(f287(x71471),x71472),x71474))+~P1(f327(f327(f287(x71471),x71472),x71473))
% 207.24/207.90 [7415]~P108(x74151)+E(f327(f327(f102(f922(x74151,a910)),f327(f302(x74151,x74152),x74153)),f327(f302(x74151,x74153),x74154)),f327(f302(x74151,x74152),x74154))+~P1(f327(f327(f234(x74151),x74153),x74154))+~P1(f327(f327(f234(x74151),x74152),x74153))
% 207.24/207.90 [7459]P33(x74591,x74592,x74593)+~E(f764(x74593,x74592,x74591,x74594),x74594)+~P1(f327(x74592,x74594))+~P1(f327(f327(f329(x74591),x74594),f327(f173(x74591),x74593)))
% 207.24/207.90 [7460]P33(x74601,x74602,x74603)+~E(f772(x74603,x74602,x74601,x74604),x74604)+~P1(f327(x74602,x74604))+~P1(f327(f327(f329(x74601),x74604),f327(f173(x74601),x74603)))
% 207.24/207.90 [7503]~P58(x75031)+~P1(f327(f327(f287(x75031),x75032),f46(x75031,x75033,x75034)))+P1(f327(f327(f287(x75031),x75032),x75033))+~P1(f327(f327(f287(x75031),x75032),x75034))
% 207.24/207.90 [7536]~P108(x75361)+E(f327(f327(f102(f922(x75361,a910)),f327(f302(x75361,x75362),x75363)),f303(x75361,x75363,x75364)),f303(x75361,x75362,x75364))+~P1(f327(f327(f234(x75361),x75363),x75364))+~P1(f327(f327(f234(x75361),x75362),x75363))
% 207.24/207.90 [7596]~P108(x75961)+E(f327(f327(f102(f922(x75961,a910)),f306(x75961,x75962,x75963)),f327(f302(x75961,x75963),x75964)),f306(x75961,x75962,x75964))+~P1(f327(f327(f234(x75961),x75963),x75964))+~P1(f327(f327(f235(x75961),x75962),x75963))
% 207.24/207.90 [7613]~P108(x76131)+E(f327(f327(f102(f922(x76131,a910)),f303(x76131,x76132,x76133)),f306(x76131,x76133,x76134)),f327(f302(x76131,x76132),x76134))+~P1(f327(f327(f234(x76131),x76132),x76133))+~P1(f327(f327(f235(x76131),x76133),x76134))
% 207.24/207.90 [7644]~P108(x76441)+E(f327(f327(f102(f922(x76441,a910)),f306(x76441,x76442,x76443)),f303(x76441,x76443,x76444)),f305(x76441,x76442,x76444))+~P1(f327(f327(f234(x76441),x76443),x76444))+~P1(f327(f327(f235(x76441),x76442),x76443))
% 207.24/207.90 [7645]~P108(x76451)+E(f327(f327(f102(f922(x76451,a910)),f305(x76451,x76452,x76453)),f306(x76451,x76453,x76454)),f306(x76451,x76452,x76454))+~P1(f327(f327(f234(x76451),x76452),x76453))+~P1(f327(f327(f235(x76451),x76453),x76454))
% 207.24/207.90 [7646]~P108(x76461)+E(f327(f327(f102(f922(x76461,a910)),f305(x76461,x76462,x76463)),f305(x76461,x76463,x76464)),f305(x76461,x76462,x76464))+~P1(f327(f327(f234(x76461),x76463),x76464))+~P1(f327(f327(f234(x76461),x76462),x76463))
% 207.24/207.90 [7647]~P108(x76471)+E(f327(f327(f102(f922(x76471,a910)),f303(x76471,x76472,x76473)),f305(x76471,x76473,x76474)),f303(x76471,x76472,x76474))+~P1(f327(f327(f234(x76471),x76473),x76474))+~P1(f327(f327(f234(x76471),x76472),x76473))
% 207.24/207.90 [8430]P23(x84301,x84302,f875(x84303,x84302,x84304,x84301),x84304)+~P1(f327(f35(x84302),x84303))+~P1(f327(f35(x84301),x84304))+~P1(f327(f327(f234(a915),f327(f36(x84301),x84304)),f327(f36(x84302),x84303)))
% 207.24/207.90 [8451]P33(x84511,x84512,x84513)+~P1(f327(x84512,x84514))+P1(f327(x84512,f764(x84513,x84512,x84511,x84514)))+~P1(f327(f327(f329(x84511),x84514),f327(f173(x84511),x84513)))
% 207.24/207.90 [8452]P33(x84521,x84522,x84523)+~P1(f327(x84522,x84524))+P1(f327(x84522,f772(x84523,x84522,x84521,x84524)))+~P1(f327(f327(f329(x84521),x84524),f327(f173(x84521),x84523)))
% 207.24/207.90 [8506]~P75(x85061)+~E(f327(x85063,f501(x85063,x85064,x85062,x85061)),f78(x85061))+E(f327(f327(f327(f65(x85061,x85062,f81(x85061)),x85063),f78(x85061)),x85064),f78(x85061))+~P1(f327(f35(x85062),x85064))
% 207.24/207.90 [8772]~P126(x87721)+~P1(f327(f327(f234(x87721),f2(x87721)),x87723))+P1(f327(f327(f234(x87721),x87722),x87723))+~P1(f327(f327(f234(x87721),f327(f327(f244(x87721),x87722),f327(a113,x87724))),f327(f327(f244(x87721),x87723),f327(a113,x87724))))
% 207.24/207.90 [9092]P33(x90921,x90922,x90923)+~P1(f327(x90922,x90924))+~P1(f327(f327(f329(x90921),x90924),f327(f173(x90921),x90923)))+P1(f327(f327(f329(x90921),f764(x90923,x90922,x90921,x90924)),f327(f173(x90921),x90923)))
% 207.24/207.90 [9093]P33(x90931,x90932,x90933)+~P1(f327(x90932,x90934))+~P1(f327(f327(f329(x90931),x90934),f327(f173(x90931),x90933)))+P1(f327(f327(f329(x90931),f772(x90933,x90932,x90931,x90934)),f327(f173(x90931),x90933)))
% 207.24/207.90 [9171]~P75(x91711)+E(f327(f327(f327(f65(x91711,x91712,f81(x91711)),x91713),f78(x91711)),x91714),f78(x91711))+~P1(f327(f35(x91712),x91714))+P1(f327(f327(f329(x91712),f501(x91713,x91714,x91712,x91711)),x91714))
% 207.24/207.90 [9663]~P1(f327(f327(f234(a1),x96634),f2(a1)))+P1(f327(f327(f234(a1),f327(f327(f80(a1),f327(f327(f81(a1),x96631),f46(a1,x96632,x96633))),x96634)),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x96633))+~P1(f327(f327(f235(a1),x96631),x96634))
% 207.24/207.90 [10101]~P1(f327(f35(x101011),x101012))+~P1(f327(f327(f329(x101011),x101014),x101012))+~P1(f327(f327(f329(x101011),x101013),x101012))+P1(f327(f327(f235(a915),f327(f36(x101011),f327(f327(f23(f922(x101011,a910)),f327(f327(f23(f922(x101011,a910)),x101012),f327(f327(f309(x101011),x101013),f190(f922(x101011,a910))))),f327(f327(f309(x101011),x101014),f190(f922(x101011,a910)))))),f327(f36(x101011),x101012)))
% 207.24/207.90 [7063]~P139(x70633)+~P121(x70633)+P1(f327(x70631,f852(x70632,x70631,x70633)))+~P1(f327(x70631,f327(f327(f81(x70633),x70632),x70634)))
% 207.24/207.90 [7121]~P108(x71211)+~P1(f327(f327(f234(x71211),x71212),x71214))+~P1(f327(f327(f234(x71211),x71212),x71213))+P1(f327(f327(f234(x71211),x71212),f327(f327(f238(x71211),x71213),x71214)))
% 207.24/207.90 [7124]~P102(x71241)+~P1(f327(f327(f234(x71241),x71242),x71244))+~P1(f327(f327(f234(x71241),x71242),x71243))+P1(f327(f327(f234(x71241),x71242),f327(f327(f103(x71241),x71243),x71244)))
% 207.24/207.90 [7125]~P108(x71251)+~P1(f327(f327(f235(x71251),x71252),x71254))+~P1(f327(f327(f235(x71251),x71252),x71253))+P1(f327(f327(f235(x71251),x71252),f327(f327(f238(x71251),x71253),x71254)))
% 207.24/207.90 [7145]~P62(x71452)+E(x71451,f2(x71452))+E(f327(f327(f291(x71452),f327(f327(f244(x71452),x71451),x71453)),f327(f327(f244(x71452),x71451),x71454)),f327(f327(f244(x71452),x71451),f327(f327(f23(a915),x71453),x71454)))+~P1(f327(f327(f234(a915),x71454),x71453))
% 207.24/207.90 [7191]~P108(x71911)+~P11(x71911,f327(f327(f152(x71911),x71913),x71914))+P11(x71911,f327(f327(f152(x71911),x71912),f327(f327(f152(x71911),x71913),x71914)))+~P1(f327(f327(f234(x71911),x71912),x71913))
% 207.24/207.90 [7229]~P88(x72291)+~P1(f327(f327(f234(x72291),f2(x72291)),x72294))+~P1(f327(f327(f234(x72291),x72292),x72293))+P1(f327(f327(f234(x72291),x72292),f327(f327(f80(x72291),x72293),x72294)))
% 207.24/207.90 [7230]~P88(x72301)+~P1(f327(f327(f234(x72301),f2(x72301)),x72303))+~P1(f327(f327(f234(x72301),x72302),x72304))+P1(f327(f327(f234(x72301),x72302),f327(f327(f80(x72301),x72303),x72304)))
% 207.24/207.90 [7231]~P126(x72311)+~P1(f327(f327(f235(x72311),f2(x72311)),x72313))+~P1(f327(f327(f235(x72311),x72312),x72314))+P1(f327(f327(f235(x72311),x72312),f327(f327(f80(x72311),x72313),x72314)))
% 207.24/207.90 [7232]~P88(x72321)+~P1(f327(f327(f234(x72321),x72322),x72324))+~P1(f327(f327(f235(x72321),f2(x72321)),x72323))+P1(f327(f327(f235(x72321),x72322),f327(f327(f80(x72321),x72323),x72324)))
% 207.24/207.90 [7233]~P88(x72331)+~P1(f327(f327(f234(x72331),f2(x72331)),x72333))+~P1(f327(f327(f235(x72331),x72332),x72334))+P1(f327(f327(f235(x72331),x72332),f327(f327(f80(x72331),x72333),x72334)))
% 207.24/207.90 [7274]~P108(x72741)+P1(f327(f327(f234(x72741),x72742),x72743))+P1(f327(f327(f234(x72741),x72742),x72744))+~P1(f327(f327(f234(x72741),x72742),f327(f327(f189(x72741),x72744),x72743)))
% 207.24/207.90 [7275]~P108(x72751)+P1(f327(f327(f235(x72751),x72752),x72753))+P1(f327(f327(f235(x72751),x72752),x72754))+~P1(f327(f327(f235(x72751),x72752),f327(f327(f189(x72751),x72754),x72753)))
% 207.24/207.90 [7569]~P110(x75692)+~P60(x75691)+~P1(f327(f327(f235(f922(x75691,x75692)),x75693),x75694))+P1(f327(f327(f234(f922(x75691,x75692)),x75693),x75694))
% 207.24/207.90 [7931]~P64(x79311)+~P1(f327(f327(f235(x79311),x79314),f2(x79311)))+~P1(f327(f327(f234(x79311),x79313),f327(f327(f291(x79311),x79312),x79314)))+P1(f327(f327(f234(x79311),x79312),f327(f327(f81(x79311),x79313),x79314)))
% 207.24/207.90 [7932]~P64(x79321)+~P1(f327(f327(f235(x79321),x79324),f2(x79321)))+~P1(f327(f327(f234(x79321),x79323),f327(f327(f81(x79321),x79322),x79324)))+P1(f327(f327(f234(x79321),x79322),f327(f327(f291(x79321),x79323),x79324)))
% 207.24/207.90 [7933]~P64(x79331)+~P1(f327(f327(f235(x79331),x79334),f2(x79331)))+~P1(f327(f327(f235(x79331),x79333),f327(f327(f291(x79331),x79332),x79334)))+P1(f327(f327(f235(x79331),x79332),f327(f327(f81(x79331),x79333),x79334)))
% 207.24/207.90 [7934]~P64(x79341)+~P1(f327(f327(f235(x79341),x79344),f2(x79341)))+~P1(f327(f327(f235(x79341),x79343),f327(f327(f81(x79341),x79342),x79344)))+P1(f327(f327(f235(x79341),x79342),f327(f327(f291(x79341),x79343),x79344)))
% 207.24/207.90 [8039]~P111(x80391)+~P1(f327(f327(f234(x80391),x80392),f2(x80391)))+~P1(f327(f327(f234(x80391),x80394),x80393))+P1(f327(f327(f234(x80391),f327(f327(f81(x80391),x80392),x80393)),f327(f327(f81(x80391),x80392),x80394)))
% 207.24/207.90 [8040]~P127(x80401)+~P1(f327(f327(f235(x80401),x80402),f2(x80401)))+~P1(f327(f327(f234(x80401),x80404),x80403))+P1(f327(f327(f234(x80401),f327(f327(f81(x80401),x80402),x80403)),f327(f327(f81(x80401),x80402),x80404)))
% 207.24/207.90 [8041]~P111(x80411)+~P1(f327(f327(f234(x80411),x80413),f2(x80411)))+~P1(f327(f327(f234(x80411),x80414),x80412))+P1(f327(f327(f234(x80411),f327(f327(f81(x80411),x80412),x80413)),f327(f327(f81(x80411),x80414),x80413)))
% 207.24/207.90 [8042]~P63(x80421)+~P1(f327(f327(f234(x80421),x80423),f2(x80421)))+~P1(f327(f327(f234(x80421),x80424),x80422))+P1(f327(f327(f234(x80421),f327(f327(f291(x80421),x80422),x80423)),f327(f327(f291(x80421),x80424),x80423)))
% 207.24/207.90 [8046]~P127(x80461)+~P1(f327(f327(f235(x80461),x80463),f2(x80461)))+~P1(f327(f327(f235(x80461),x80464),x80462))+P1(f327(f327(f235(x80461),f327(f327(f81(x80461),x80462),x80463)),f327(f327(f81(x80461),x80464),x80463)))
% 207.24/207.90 [8047]~P127(x80471)+~P1(f327(f327(f235(x80471),x80472),f2(x80471)))+~P1(f327(f327(f235(x80471),x80474),x80473))+P1(f327(f327(f235(x80471),f327(f327(f81(x80471),x80472),x80473)),f327(f327(f81(x80471),x80472),x80474)))
% 207.24/207.90 [8048]~P64(x80481)+~P1(f327(f327(f235(x80481),x80483),f2(x80481)))+~P1(f327(f327(f235(x80481),x80484),x80482))+P1(f327(f327(f235(x80481),f327(f327(f291(x80481),x80482),x80483)),f327(f327(f291(x80481),x80484),x80483)))
% 207.24/207.90 [8049]~P126(x80491)+~P1(f327(f327(f235(x80491),f78(x80491)),x80492))+~P1(f327(f327(f234(a915),x80493),x80494))+P1(f327(f327(f234(x80491),f327(f327(f244(x80491),x80492),x80493)),f327(f327(f244(x80491),x80492),x80494)))
% 207.24/207.90 [8050]~P126(x80501)+~P1(f327(f327(f234(x80501),f78(x80501)),x80502))+~P1(f327(f327(f234(a915),x80503),x80504))+P1(f327(f327(f234(x80501),f327(f327(f244(x80501),x80502),x80503)),f327(f327(f244(x80501),x80502),x80504)))
% 207.24/207.90 [8052]~P126(x80521)+~P1(f327(f327(f235(x80521),f78(x80521)),x80522))+~P1(f327(f327(f235(a915),x80523),x80524))+P1(f327(f327(f235(x80521),f327(f327(f244(x80521),x80522),x80523)),f327(f327(f244(x80521),x80522),x80524)))
% 207.24/207.90 [8079]P1(f327(f327(f235(a915),f2(a915)),f327(x80791,x80792)))+~P1(f327(f35(x80793),x80794))+~P1(f327(f327(f329(x80793),x80792),x80794))+~P1(f327(f327(f235(a915),f2(a915)),f327(f327(f9(x80793,a915),x80791),x80794)))
% 207.24/207.90 [8088]~P127(x80881)+~P1(f327(f327(f235(x80881),f2(x80881)),x80882))+~P1(f327(f327(f234(x80881),x80883),x80884))+P1(f327(f327(f234(x80881),f327(f327(f81(x80881),x80882),x80883)),f327(f327(f81(x80881),x80882),x80884)))
% 207.24/207.90 [8089]~P137(x80891)+~P1(f327(f327(f234(x80891),x80893),x80894))+~P1(f327(f327(f234(x80891),f2(x80891)),x80892))+P1(f327(f327(f234(x80891),f327(f327(f81(x80891),x80892),x80893)),f327(f327(f81(x80891),x80892),x80894)))
% 207.24/207.90 [8090]~P136(x80901)+~P1(f327(f327(f234(x80901),x80903),x80904))+~P1(f327(f327(f234(x80901),f2(x80901)),x80902))+P1(f327(f327(f234(x80901),f327(f327(f81(x80901),x80902),x80903)),f327(f327(f81(x80901),x80902),x80904)))
% 207.24/207.90 [8091]~P137(x80911)+~P1(f327(f327(f234(x80911),x80912),x80914))+~P1(f327(f327(f234(x80911),f2(x80911)),x80913))+P1(f327(f327(f234(x80911),f327(f327(f81(x80911),x80912),x80913)),f327(f327(f81(x80911),x80914),x80913)))
% 207.24/207.90 [8092]~P126(x80921)+~P1(f327(f327(f234(x80921),x80922),x80924))+~P1(f327(f327(f234(x80921),f2(x80921)),x80922))+P1(f327(f327(f234(x80921),f327(f327(f244(x80921),x80922),x80923)),f327(f327(f244(x80921),x80924),x80923)))
% 207.24/207.90 [8093]~P63(x80931)+~P1(f327(f327(f234(x80931),x80932),x80934))+~P1(f327(f327(f234(x80931),f2(x80931)),x80933))+P1(f327(f327(f234(x80931),f327(f327(f291(x80931),x80932),x80933)),f327(f327(f291(x80931),x80934),x80933)))
% 207.24/207.90 [8095]~P130(x80951)+~P1(f327(f327(f235(x80951),x80953),x80954))+~P1(f327(f327(f235(x80951),f2(x80951)),x80952))+P1(f327(f327(f235(x80951),f327(f327(f81(x80951),x80952),x80953)),f327(f327(f81(x80951),x80952),x80954)))
% 207.24/207.90 [8096]~P124(x80961)+~P1(f327(f327(f235(x80961),x80963),x80964))+~P1(f327(f327(f235(x80961),f2(x80961)),x80962))+P1(f327(f327(f235(x80961),f327(f327(f81(x80961),x80962),x80963)),f327(f327(f81(x80961),x80962),x80964)))
% 207.24/207.90 [8097]~P127(x80971)+~P1(f327(f327(f235(x80971),x80972),x80974))+~P1(f327(f327(f235(x80971),f2(x80971)),x80973))+P1(f327(f327(f235(x80971),f327(f327(f81(x80971),x80972),x80973)),f327(f327(f81(x80971),x80974),x80973)))
% 207.24/207.90 [8098]~P130(x80981)+~P1(f327(f327(f235(x80981),x80982),x80984))+~P1(f327(f327(f235(x80981),f2(x80981)),x80983))+P1(f327(f327(f235(x80981),f327(f327(f81(x80981),x80982),x80983)),f327(f327(f81(x80981),x80984),x80983)))
% 207.24/207.90 [8099]~P127(x80991)+~P1(f327(f327(f235(x80991),x80993),x80994))+~P1(f327(f327(f235(x80991),f2(x80991)),x80992))+P1(f327(f327(f235(x80991),f327(f327(f81(x80991),x80992),x80993)),f327(f327(f81(x80991),x80992),x80994)))
% 207.24/207.90 [8100]~P64(x81001)+~P1(f327(f327(f235(x81001),x81002),x81004))+~P1(f327(f327(f235(x81001),f2(x81001)),x81003))+P1(f327(f327(f235(x81001),f327(f327(f291(x81001),x81002),x81003)),f327(f327(f291(x81001),x81004),x81003)))
% 207.24/207.90 [8142]~P109(x81422)+P1(f327(f327(f235(f922(x81421,x81422)),x81424),x81423))+~P1(f327(f327(f234(f922(x81421,x81422)),x81424),x81423))+P1(f327(f327(f234(f922(x81421,x81422)),x81423),x81424))
% 207.24/207.90 [8182]P1(f327(f327(f329(x81821),x81822),x81823))+P1(f327(f327(f329(x81821),x81822),x81824))+~P1(f327(f327(f234(f922(x81821,a910)),x81824),x81823))+P1(f327(f327(f235(f922(x81821,a910)),x81824),f327(f327(f309(x81821),x81822),x81823)))
% 207.24/207.90 [8293]~P120(x82932)+E(x82931,f2(x82932))+P1(f327(f327(f287(x82932),x82933),x82934))+~P1(f327(f327(f287(x82932),f327(f327(f81(x82932),x82933),x82931)),f327(f327(f81(x82932),x82934),x82931)))
% 207.24/207.90 [8294]~P120(x82942)+E(x82941,f2(x82942))+P1(f327(f327(f287(x82942),x82943),x82944))+~P1(f327(f327(f287(x82942),f327(f327(f81(x82942),x82941),x82943)),f327(f327(f81(x82942),x82941),x82944)))
% 207.24/207.90 [8343]P1(f327(f327(f329(x83431),x83432),x83433))+P1(f327(f327(f329(x83431),x83432),x83434))+~P1(f327(f327(f235(f922(x83431,a910)),x83434),f327(f327(f309(x83431),x83432),x83433)))+P1(f327(f327(f234(f922(x83431,a910)),x83434),x83433))
% 207.24/207.90 [8408]~P127(x84081)+P1(f327(f327(f235(x84081),x84083),x84082))+P1(f327(f327(f235(x84081),x84082),x84083))+~P1(f327(f327(f235(x84081),f327(f327(f81(x84081),x84084),x84082)),f327(f327(f81(x84081),x84084),x84083)))
% 207.24/207.90 [8409]~P127(x84091)+P1(f327(f327(f235(x84091),x84093),x84092))+P1(f327(f327(f235(x84091),x84092),x84093))+~P1(f327(f327(f235(x84091),f327(f327(f81(x84091),x84092),x84094)),f327(f327(f81(x84091),x84093),x84094)))
% 207.24/207.90 [8420]~P127(x84201)+P1(f327(f327(f235(x84201),x84204),f2(x84201)))+P1(f327(f327(f235(x84201),x84202),x84203))+~P1(f327(f327(f235(x84201),f327(f327(f81(x84201),x84202),x84204)),f327(f327(f81(x84201),x84203),x84204)))
% 207.24/207.90 [8421]~P127(x84211)+P1(f327(f327(f235(x84211),x84214),f2(x84211)))+P1(f327(f327(f235(x84211),x84212),x84213))+~P1(f327(f327(f235(x84211),f327(f327(f81(x84211),x84214),x84212)),f327(f327(f81(x84211),x84214),x84213)))
% 207.24/207.90 [8424]~P127(x84241)+P1(f327(f327(f235(x84241),x84242),x84243))+P1(f327(f327(f235(x84241),f2(x84241)),x84244))+~P1(f327(f327(f235(x84241),f327(f327(f81(x84241),x84244),x84243)),f327(f327(f81(x84241),x84244),x84242)))
% 207.24/207.90 [8425]~P127(x84251)+P1(f327(f327(f235(x84251),x84252),x84253))+P1(f327(f327(f235(x84251),f2(x84251)),x84254))+~P1(f327(f327(f235(x84251),f327(f327(f81(x84251),x84253),x84254)),f327(f327(f81(x84251),x84252),x84254)))
% 207.24/207.90 [8438]~P127(x84381)+P1(f327(f327(f235(x84381),x84382),f2(x84381)))+P1(f327(f327(f235(x84381),f2(x84381)),x84382))+~P1(f327(f327(f235(x84381),f327(f327(f81(x84381),x84383),x84382)),f327(f327(f81(x84381),x84384),x84382)))
% 207.24/207.90 [8439]~P127(x84391)+P1(f327(f327(f235(x84391),x84392),f2(x84391)))+P1(f327(f327(f235(x84391),f2(x84391)),x84392))+~P1(f327(f327(f235(x84391),f327(f327(f81(x84391),x84392),x84393)),f327(f327(f81(x84391),x84392),x84394)))
% 207.24/207.90 [8468]~P127(x84681)+~P1(f327(f327(f235(x84681),x84684),f2(x84681)))+P1(f327(f327(f234(x84681),x84682),x84683))+~P1(f327(f327(f234(x84681),f327(f327(f81(x84681),x84684),x84683)),f327(f327(f81(x84681),x84684),x84682)))
% 207.24/207.90 [8469]~P127(x84691)+~P1(f327(f327(f235(x84691),x84694),f2(x84691)))+P1(f327(f327(f235(x84691),x84692),x84693))+~P1(f327(f327(f235(x84691),f327(f327(f81(x84691),x84694),x84693)),f327(f327(f81(x84691),x84694),x84692)))
% 207.24/207.90 [8480]~P126(x84803)+~P1(f327(f327(f235(x84803),f78(x84803)),x84804))+P1(f327(f327(f234(a915),x84801),x84802))+~P1(f327(f327(f234(x84803),f327(f327(f244(x84803),x84804),x84801)),f327(f327(f244(x84803),x84804),x84802)))
% 207.24/207.90 [8482]~P126(x84823)+~P1(f327(f327(f235(x84823),f78(x84823)),x84824))+P1(f327(f327(f235(a915),x84821),x84822))+~P1(f327(f327(f235(x84823),f327(f327(f244(x84823),x84824),x84821)),f327(f327(f244(x84823),x84824),x84822)))
% 207.24/207.90 [8492]~P127(x84921)+P1(f327(f327(f234(x84921),x84922),x84923))+~P1(f327(f327(f235(x84921),f2(x84921)),x84924))+~P1(f327(f327(f234(x84921),f327(f327(f81(x84921),x84924),x84922)),f327(f327(f81(x84921),x84924),x84923)))
% 207.24/207.90 [8493]~P130(x84931)+P1(f327(f327(f234(x84931),x84932),x84933))+~P1(f327(f327(f235(x84931),f2(x84931)),x84934))+~P1(f327(f327(f234(x84931),f327(f327(f81(x84931),x84934),x84932)),f327(f327(f81(x84931),x84934),x84933)))
% 207.24/207.90 [8494]~P130(x84941)+P1(f327(f327(f234(x84941),x84942),x84943))+~P1(f327(f327(f235(x84941),f2(x84941)),x84944))+~P1(f327(f327(f234(x84941),f327(f327(f81(x84941),x84942),x84944)),f327(f327(f81(x84941),x84943),x84944)))
% 207.24/207.90 [8495]~P127(x84951)+P1(f327(f327(f235(x84951),x84952),x84953))+~P1(f327(f327(f235(x84951),f2(x84951)),x84954))+~P1(f327(f327(f235(x84951),f327(f327(f81(x84951),x84954),x84952)),f327(f327(f81(x84951),x84954),x84953)))
% 207.24/207.90 [8496]~P130(x84961)+P1(f327(f327(f235(x84961),x84962),x84963))+~P1(f327(f327(f234(x84961),f2(x84961)),x84964))+~P1(f327(f327(f235(x84961),f327(f327(f81(x84961),x84964),x84962)),f327(f327(f81(x84961),x84964),x84963)))
% 207.24/207.90 [8497]~P131(x84971)+P1(f327(f327(f235(x84971),x84972),x84973))+~P1(f327(f327(f234(x84971),f2(x84971)),x84974))+~P1(f327(f327(f235(x84971),f327(f327(f81(x84971),x84974),x84972)),f327(f327(f81(x84971),x84974),x84973)))
% 207.24/207.90 [8498]~P126(x84981)+~P1(f327(f327(f234(x84981),f2(x84981)),x84983))+P1(f327(f327(f235(x84981),x84982),x84983))+~P1(f327(f327(f235(x84981),f327(f327(f244(x84981),x84982),x84984)),f327(f327(f244(x84981),x84983),x84984)))
% 207.24/207.90 [8499]~P130(x84991)+P1(f327(f327(f235(x84991),x84992),x84993))+~P1(f327(f327(f234(x84991),f2(x84991)),x84994))+~P1(f327(f327(f235(x84991),f327(f327(f81(x84991),x84992),x84994)),f327(f327(f81(x84991),x84993),x84994)))
% 207.24/207.90 [8500]~P131(x85001)+P1(f327(f327(f235(x85001),x85002),x85003))+~P1(f327(f327(f234(x85001),f2(x85001)),x85004))+~P1(f327(f327(f235(x85001),f327(f327(f81(x85001),x85002),x85004)),f327(f327(f81(x85001),x85003),x85004)))
% 207.24/207.90 [8543]P1(f327(f327(f329(x85431),x85432),x85433))+~P1(f327(f327(f234(f922(x85431,a910)),x85433),x85434))+~P1(f327(f327(f235(f922(x85431,a910)),x85433),x85434))+P1(f327(f327(f235(f922(x85431,a910)),x85433),f327(f327(f309(x85431),x85432),x85434)))
% 207.24/207.90 [8575]~P139(x85751)+~P121(x85751)+P1(f327(f327(f287(x85751),x85752),f327(f327(f80(x85751),f852(x85752,x85753,x85751)),f2(x85751))))+~P1(f327(x85753,f327(f327(f81(x85751),x85752),x85754)))
% 207.24/207.90 [8922]E(f327(f327(f23(a1),f436(x89221,x89222,x89223,x89224)),f437(x89221,x89222,x89223,x89224)),x89224)+~P1(f327(f327(f235(a1),f2(a1)),x89223))+~P1(f327(f327(f234(a1),x89221),x89224))+P1(f327(f327(f234(a1),x89221),f327(f327(f80(a1),x89224),x89223)))
% 207.24/207.90 [8923]E(f327(f327(f23(a1),f451(x89231,x89232,x89233,x89234)),f452(x89231,x89232,x89233,x89234)),x89234)+~P1(f327(f327(f235(a1),f2(a1)),x89233))+~P1(f327(f327(f235(a1),x89231),x89234))+P1(f327(f327(f235(a1),x89231),f327(f327(f80(a1),x89234),x89233)))
% 207.24/207.90 [9073]~E(f327(f327(f165(x90731),x90733),f674(x90734,x90733,x90731,x90732)),f327(f327(f165(x90731),x90734),f674(x90734,x90733,x90731,x90732)))+E(f327(f327(f176(x90731),x90732),x90733),f327(f327(f176(x90731),x90732),x90734))+~P1(f327(f327(f234(a915),x90732),f327(f191(f916(x90731)),x90733)))+~P1(f327(f327(f234(a915),x90732),f327(f191(f916(x90731)),x90734)))
% 207.24/207.90 [9139]~P1(f327(f327(f235(a1),f2(a1)),x91393))+~P1(f327(f327(f234(a1),x91391),x91394))+P1(f327(f327(f329(a1),f436(x91391,x91392,x91393,x91394)),x91392))+P1(f327(f327(f234(a1),x91391),f327(f327(f80(a1),x91394),x91393)))
% 207.24/207.90 [9140]~P1(f327(f327(f235(a1),f2(a1)),x91403))+~P1(f327(f327(f235(a1),x91401),x91404))+P1(f327(f327(f329(a1),f451(x91401,x91402,x91403,x91404)),x91402))+P1(f327(f327(f235(a1),x91401),f327(f327(f80(a1),x91404),x91403)))
% 207.24/207.90 [9180]~P108(x91801)+~P1(f327(f35(x91801),x91803))+~P1(f327(f327(f329(x91801),x91804),x91803))+P1(f327(f327(f234(x91801),f327(f327(f64(x91801,x91801,f238(x91801)),x91802),x91803)),f327(f327(f238(x91801),x91804),x91802)))
% 207.24/207.90 [9181]~P102(x91811)+~P1(f327(f35(x91811),x91813))+~P1(f327(f327(f329(x91811),x91814),x91813))+P1(f327(f327(f234(x91811),f327(f327(f64(x91811,x91811,f103(x91811)),x91812),x91813)),f327(f327(f103(x91811),x91814),x91812)))
% 207.24/207.90 [9225]E(f327(f327(f176(x92251),x92252),x92253),f327(f327(f176(x92251),x92252),x92254))+P1(f327(f327(f235(a915),f674(x92253,x92254,x92251,x92252)),x92252))+~P1(f327(f327(f234(a915),x92252),f327(f191(f916(x92251)),x92253)))+~P1(f327(f327(f234(a915),x92252),f327(f191(f916(x92251)),x92254)))
% 207.24/207.90 [9230]~P1(f327(f327(f235(a1),f2(a1)),x92303))+~P1(f327(f327(f234(a1),x92301),x92302))+P1(f327(f327(f329(a1),f437(x92301,x92304,x92303,x92302)),f303(a1,f78(a1),x92303)))+P1(f327(f327(f234(a1),x92301),f327(f327(f80(a1),x92302),x92303)))
% 207.24/207.90 [9231]~P1(f327(f327(f235(a1),f2(a1)),x92313))+~P1(f327(f327(f235(a1),x92311),x92312))+P1(f327(f327(f329(a1),f452(x92311,x92314,x92313,x92312)),f303(a1,f78(a1),x92313)))+P1(f327(f327(f235(a1),x92311),f327(f327(f80(a1),x92312),x92313)))
% 207.24/207.90 [9551]~P108(x95511)+~P1(f327(f35(x95511),x95514))+P1(f327(f327(f329(x95511),f872(x95512,x95513,x95514,x95511)),x95514))+P1(f327(f327(f234(x95511),f327(f327(f64(x95511,x95511,f189(x95511)),x95512),x95514)),f327(f327(f189(x95511),x95513),x95512)))
% 207.24/207.90 [9552]~P101(x95521)+~P1(f327(f35(x95521),x95524))+P1(f327(f327(f329(x95521),f508(x95522,x95523,x95524,x95521)),x95524))+P1(f327(f327(f234(x95521),f327(f327(f64(x95521,x95521,f102(x95521)),x95522),x95524)),f327(f327(f102(x95521),x95523),x95522)))
% 207.24/207.90 [9680]~P108(x96801)+~P1(f327(f35(x96801),x96803))+~P1(f327(f327(f234(x96801),f872(x96802,x96804,x96803,x96801)),x96804))+P1(f327(f327(f234(x96801),f327(f327(f64(x96801,x96801,f189(x96801)),x96802),x96803)),f327(f327(f189(x96801),x96804),x96802)))
% 207.24/207.90 [9681]~P101(x96811)+~P1(f327(f35(x96811),x96813))+~P1(f327(f327(f234(x96811),f508(x96812,x96814,x96813,x96811)),x96814))+P1(f327(f327(f234(x96811),f327(f327(f64(x96811,x96811,f102(x96811)),x96812),x96813)),f327(f327(f102(x96811),x96814),x96812)))
% 207.24/207.90 [9683]~P1(f327(f327(f234(a1),f2(a1)),x96834))+~P1(f327(f327(f235(a1),f2(a1)),x96833))+~P1(f327(f327(f235(a1),x96834),x96831))+P1(f327(f327(f235(a1),f327(f327(f80(a1),f327(f327(f81(a1),x96831),f46(a1,x96832,x96833))),x96834)),f327(f327(f81(a1),x96831),x96833)))
% 207.24/207.90 [10072]E(x100721,x100722)+P1(f327(f327(f329(f921(f916(x100723),f916(x100723))),f327(f327(f252(f916(x100723),f916(x100723)),x100722),x100721)),f148(x100723,x100724)))+P1(f327(f327(f329(f921(f916(x100723),f916(x100723))),f327(f327(f252(f916(x100723),f916(x100723)),x100721),x100722)),f148(x100723,x100724)))+~P1(f327(f327(f329(f921(x100723,x100723)),f327(f327(f252(x100723,x100723),f651(x100721,x100722,x100724,x100723)),f652(x100721,x100722,x100724,x100723))),x100724))
% 207.24/207.90 [10073]E(x100731,x100732)+P1(f327(f327(f329(f921(f916(x100733),f916(x100733))),f327(f327(f252(f916(x100733),f916(x100733)),x100732),x100731)),f148(x100733,x100734)))+P1(f327(f327(f329(f921(f916(x100733),f916(x100733))),f327(f327(f252(f916(x100733),f916(x100733)),x100731),x100732)),f148(x100733,x100734)))+~P1(f327(f327(f329(f921(x100733,x100733)),f327(f327(f252(x100733,x100733),f652(x100731,x100732,x100734,x100733)),f651(x100731,x100732,x100734,x100733))),x100734))
% 207.24/207.90 [7635]~P108(x76351)+~P1(f327(f327(f234(x76351),x76353),x76354))+~P1(f327(f327(f234(x76351),x76352),x76354))+P1(f327(f327(f234(x76351),f327(f327(f189(x76351),x76352),x76353)),x76354))
% 207.24/207.90 [7638]~P101(x76381)+~P1(f327(f327(f234(x76381),x76383),x76384))+~P1(f327(f327(f234(x76381),x76382),x76384))+P1(f327(f327(f234(x76381),f327(f327(f102(x76381),x76382),x76383)),x76384))
% 207.24/207.90 [7639]~P108(x76391)+~P1(f327(f327(f235(x76391),x76393),x76394))+~P1(f327(f327(f235(x76391),x76392),x76394))+P1(f327(f327(f235(x76391),f327(f327(f189(x76391),x76392),x76393)),x76394))
% 207.24/207.90 [7956]~E(x79561,x79563)+E(f140(a915,f327(f302(a915,x79561),x79562)),f327(f327(f152(a915),x79563),x79564))+~E(f140(a915,f327(f302(a915,f327(f327(f80(a915),x79561),f78(a915))),x79562)),x79564)+~P1(f327(f327(f235(a915),x79561),x79562))
% 207.24/207.90 [7964]~P108(x79641)+P1(f327(f327(f234(x79641),x79642),x79643))+P1(f327(f327(f234(x79641),x79644),x79643))+~P1(f327(f327(f234(x79641),f327(f327(f238(x79641),x79644),x79642)),x79643))
% 207.24/207.90 [7965]~P108(x79651)+P1(f327(f327(f235(x79651),x79652),x79653))+P1(f327(f327(f235(x79651),x79654),x79653))+~P1(f327(f327(f235(x79651),f327(f327(f238(x79651),x79654),x79652)),x79653))
% 207.24/207.90 [8240]~P63(x82401)+~P1(f327(f327(f235(x82401),f2(x82401)),x82403))+~P1(f327(f327(f234(x82401),x82402),f327(f327(f291(x82401),x82404),x82403)))+P1(f327(f327(f234(x82401),f327(f327(f81(x82401),x82402),x82403)),x82404))
% 207.24/207.90 [8241]~P64(x82411)+~P1(f327(f327(f235(x82411),f2(x82411)),x82413))+~P1(f327(f327(f234(x82411),x82412),f327(f327(f291(x82411),x82414),x82413)))+P1(f327(f327(f234(x82411),f327(f327(f81(x82411),x82412),x82413)),x82414))
% 207.24/207.90 [8242]~P63(x82421)+~P1(f327(f327(f235(x82421),f2(x82421)),x82423))+~P1(f327(f327(f234(x82421),x82422),f327(f327(f81(x82421),x82424),x82423)))+P1(f327(f327(f234(x82421),f327(f327(f291(x82421),x82422),x82423)),x82424))
% 207.24/207.90 [8244]~P64(x82441)+~P1(f327(f327(f235(x82441),f2(x82441)),x82443))+~P1(f327(f327(f234(x82441),x82442),f327(f327(f81(x82441),x82444),x82443)))+P1(f327(f327(f234(x82441),f327(f327(f291(x82441),x82442),x82443)),x82444))
% 207.24/207.90 [8245]~P63(x82451)+~P1(f327(f327(f235(x82451),f2(x82451)),x82453))+~P1(f327(f327(f235(x82451),x82452),f327(f327(f291(x82451),x82454),x82453)))+P1(f327(f327(f235(x82451),f327(f327(f81(x82451),x82452),x82453)),x82454))
% 207.24/207.90 [8246]~P64(x82461)+~P1(f327(f327(f235(x82461),f2(x82461)),x82463))+~P1(f327(f327(f235(x82461),x82462),f327(f327(f291(x82461),x82464),x82463)))+P1(f327(f327(f235(x82461),f327(f327(f81(x82461),x82462),x82463)),x82464))
% 207.24/207.90 [8247]~P63(x82471)+~P1(f327(f327(f235(x82471),f2(x82471)),x82473))+~P1(f327(f327(f235(x82471),x82472),f327(f327(f81(x82471),x82474),x82473)))+P1(f327(f327(f235(x82471),f327(f327(f291(x82471),x82472),x82473)),x82474))
% 207.24/207.90 [8249]~P64(x82491)+~P1(f327(f327(f235(x82491),f2(x82491)),x82493))+~P1(f327(f327(f235(x82491),x82492),f327(f327(f81(x82491),x82494),x82493)))+P1(f327(f327(f235(x82491),f327(f327(f291(x82491),x82492),x82493)),x82494))
% 207.24/207.90 [8378]~P63(x83781)+~P1(f327(f327(f235(x83781),f2(x83781)),x83784))+P1(f327(f327(f234(x83781),x83782),f327(f327(f81(x83781),x83783),x83784)))+~P1(f327(f327(f234(x83781),f327(f327(f291(x83781),x83782),x83784)),x83783))
% 207.24/207.90 [8379]~P63(x83791)+~P1(f327(f327(f235(x83791),f2(x83791)),x83794))+P1(f327(f327(f234(x83791),x83792),f327(f327(f291(x83791),x83793),x83794)))+~P1(f327(f327(f234(x83791),f327(f327(f81(x83791),x83792),x83794)),x83793))
% 207.24/207.90 [8381]~P64(x83811)+~P1(f327(f327(f235(x83811),f2(x83811)),x83814))+P1(f327(f327(f234(x83811),x83812),f327(f327(f81(x83811),x83813),x83814)))+~P1(f327(f327(f234(x83811),f327(f327(f291(x83811),x83812),x83814)),x83813))
% 207.24/207.90 [8382]~P64(x83821)+~P1(f327(f327(f235(x83821),f2(x83821)),x83824))+P1(f327(f327(f234(x83821),x83822),f327(f327(f291(x83821),x83823),x83824)))+~P1(f327(f327(f234(x83821),f327(f327(f81(x83821),x83822),x83824)),x83823))
% 207.24/207.90 [8383]~P63(x83831)+~P1(f327(f327(f235(x83831),f2(x83831)),x83834))+P1(f327(f327(f235(x83831),x83832),f327(f327(f81(x83831),x83833),x83834)))+~P1(f327(f327(f235(x83831),f327(f327(f291(x83831),x83832),x83834)),x83833))
% 207.24/207.90 [8384]~P63(x83841)+~P1(f327(f327(f235(x83841),f2(x83841)),x83844))+P1(f327(f327(f235(x83841),x83842),f327(f327(f291(x83841),x83843),x83844)))+~P1(f327(f327(f235(x83841),f327(f327(f81(x83841),x83842),x83844)),x83843))
% 207.24/207.90 [8386]~P64(x83861)+~P1(f327(f327(f235(x83861),f2(x83861)),x83864))+P1(f327(f327(f235(x83861),x83862),f327(f327(f81(x83861),x83863),x83864)))+~P1(f327(f327(f235(x83861),f327(f327(f291(x83861),x83862),x83864)),x83863))
% 207.24/207.90 [8387]~P64(x83871)+~P1(f327(f327(f235(x83871),f2(x83871)),x83874))+P1(f327(f327(f235(x83871),x83872),f327(f327(f291(x83871),x83873),x83874)))+~P1(f327(f327(f235(x83871),f327(f327(f81(x83871),x83872),x83874)),x83873))
% 207.24/207.90 [8546]~P64(x85461)+~P1(f327(f327(f235(x85461),x85463),f2(x85461)))+~P1(f327(f327(f234(x85461),f327(f327(f291(x85461),x85464),x85463)),x85462))+P1(f327(f327(f234(x85461),f327(f327(f81(x85461),x85462),x85463)),x85464))
% 207.24/207.90 [8547]~P64(x85471)+~P1(f327(f327(f235(x85471),x85473),f2(x85471)))+~P1(f327(f327(f234(x85471),f327(f327(f81(x85471),x85474),x85473)),x85472))+P1(f327(f327(f234(x85471),f327(f327(f291(x85471),x85472),x85473)),x85474))
% 207.24/207.90 [8548]~P64(x85481)+~P1(f327(f327(f235(x85481),x85483),f2(x85481)))+~P1(f327(f327(f235(x85481),f327(f327(f291(x85481),x85484),x85483)),x85482))+P1(f327(f327(f235(x85481),f327(f327(f81(x85481),x85482),x85483)),x85484))
% 207.24/207.90 [8549]~P64(x85491)+~P1(f327(f327(f235(x85491),x85493),f2(x85491)))+~P1(f327(f327(f235(x85491),f327(f327(f81(x85491),x85494),x85493)),x85492))+P1(f327(f327(f235(x85491),f327(f327(f291(x85491),x85492),x85493)),x85494))
% 207.24/207.90 [8561]~P1(f327(x85611,x85614))+~P1(f327(f327(f235(a915),x85612),f327(f327(f81(a915),x85613),f327(a113,x85614))))+P1(f327(x85611,f327(f327(f37(a915),x85612),x85613)))+~P1(f327(f327(f234(a915),f327(f327(f81(a915),x85613),x85614)),x85612))
% 207.24/207.90 [8770]~P108(x87701)+~P1(f327(f35(x87701),x87704))+~P1(f327(f327(f329(x87701),x87702),x87704))+P1(f327(f327(f234(x87701),f327(f327(f189(x87701),x87702),x87703)),f327(f327(f64(x87701,x87701,f189(x87701)),x87703),x87704)))
% 207.24/207.90 [8771]~P101(x87711)+~P1(f327(f35(x87711),x87714))+~P1(f327(f327(f329(x87711),x87712),x87714))+P1(f327(f327(f234(x87711),f327(f327(f102(x87711),x87712),x87713)),f327(f327(f64(x87711,x87711,f102(x87711)),x87713),x87714)))
% 207.24/207.90 [8924]~P1(f327(f35(x89241),x89242))+E(f327(f36(x89241),f327(f327(f23(f922(x89241,a910)),x89242),f327(f327(f309(x89241),x89243),x89244))),f327(f327(f23(a915),f327(f36(x89241),f327(f327(f23(f922(x89241,a910)),x89242),x89244))),f78(a915)))+P1(f327(f327(f329(x89241),x89243),x89244))+~P1(f327(f327(f329(x89241),x89243),x89242))
% 207.24/207.90 [9001]E(f327(f327(f80(a1),f438(x90011,x90012,x90013,x90014)),f439(x90011,x90012,x90013,x90014)),x90014)+~P1(f327(f327(f235(a1),f2(a1)),x90013))+~P1(f327(f327(f234(a1),x90014),x90011))+P1(f327(f327(f234(a1),f327(f327(f23(a1),x90014),x90013)),x90011))
% 207.24/207.90 [9002]E(f327(f327(f80(a1),f453(x90021,x90022,x90023,x90024)),f444(x90021,x90022,x90023,x90024)),x90024)+~P1(f327(f327(f235(a1),f2(a1)),x90023))+~P1(f327(f327(f235(a1),x90024),x90021))+P1(f327(f327(f235(a1),f327(f327(f23(a1),x90024),x90023)),x90021))
% 207.24/207.90 [9210]~P1(f327(f327(f235(a1),f2(a1)),x92103))+~P1(f327(f327(f234(a1),x92104),x92101))+P1(f327(f327(f329(a1),f438(x92101,x92102,x92103,x92104)),x92102))+P1(f327(f327(f234(a1),f327(f327(f23(a1),x92104),x92103)),x92101))
% 207.24/207.90 [9211]~P1(f327(f327(f235(a1),f2(a1)),x92113))+~P1(f327(f327(f235(a1),x92114),x92111))+P1(f327(f327(f329(a1),f453(x92111,x92112,x92113,x92114)),x92112))+P1(f327(f327(f235(a1),f327(f327(f23(a1),x92114),x92113)),x92111))
% 207.24/207.90 [9297]~P1(f327(f327(f235(a1),f2(a1)),x92972))+~P1(f327(f327(f234(a1),x92971),x92973))+P1(f327(f327(f329(a1),f439(x92973,x92974,x92972,x92971)),f303(a1,f78(a1),x92972)))+P1(f327(f327(f234(a1),f327(f327(f23(a1),x92971),x92972)),x92973))
% 207.24/207.90 [9298]~P1(f327(f327(f235(a1),f2(a1)),x92982))+~P1(f327(f327(f235(a1),x92981),x92983))+P1(f327(f327(f329(a1),f444(x92983,x92984,x92982,x92981)),f303(a1,f78(a1),x92982)))+P1(f327(f327(f235(a1),f327(f327(f23(a1),x92981),x92982)),x92983))
% 207.24/207.90 [9316]~P1(f327(f327(f234(a1),f2(a1)),x93164))+~P1(f327(f327(f235(a1),f2(a1)),x93163))+~P1(f327(f327(f235(a1),x93164),x93161))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f80(a1),f327(f327(f81(a1),x93161),f46(a1,x93162,x93163))),x93164)))
% 207.24/207.90 [9345]E(x93451,x93452)+~P37(x93453,x93454)+~P1(f327(f327(f329(f921(x93453,x93453)),f327(f327(f252(x93453,x93453),x93452),x93451)),x93454))+~P1(f327(f327(f329(f921(x93453,x93453)),f327(f327(f252(x93453,x93453),x93451),x93452)),x93454))
% 207.24/207.90 [9377]~P108(x93771)+~P1(f327(f35(x93771),x93774))+~P1(f327(f327(f234(x93771),x93772),f871(x93773,x93772,x93774,x93771)))+P1(f327(f327(f234(x93771),f327(f327(f238(x93771),x93772),x93773)),f327(f327(f64(x93771,x93771,f238(x93771)),x93773),x93774)))
% 207.24/207.90 [9378]~P102(x93781)+~P1(f327(f35(x93781),x93784))+~P1(f327(f327(f234(x93781),x93782),f506(x93783,x93782,x93784,x93781)))+P1(f327(f327(f234(x93781),f327(f327(f103(x93781),x93782),x93783)),f327(f327(f64(x93781,x93781,f103(x93781)),x93783),x93784)))
% 207.24/207.90 [9394]~P1(f327(f327(f234(a1),x93944),f2(a1)))+~P1(f327(f327(f235(a1),f2(a1)),x93942))+~P1(f327(f327(f235(a1),x93941),x93944))+P1(f327(f327(f235(a1),f327(f327(f81(a1),x93941),x93942)),f327(f327(f80(a1),f327(f327(f81(a1),x93941),f46(a1,x93943,x93942))),x93944)))
% 207.24/207.90 [9419]P1(f327(f35(x94191),x94192))+~P1(f327(f35(x94191),x94193))+~P1(f327(f327(f329(f922(x94191,a910)),x94192),f327(f327(f61(x94191),x94193),x94194)))+~P1(f327(f327(f234(f922(f921(x94191,x94191),a910)),x94194),f327(f327(f254(x94191,x94191),x94193),f327(f16(f922(x94191,a910),x94191),x94193))))
% 207.24/207.90 [9443]~P108(x94431)+~P1(f327(f35(x94431),x94434))+P1(f327(f327(f329(x94431),f871(x94432,x94433,x94434,x94431)),x94434))+P1(f327(f327(f234(x94431),f327(f327(f238(x94431),x94433),x94432)),f327(f327(f64(x94431,x94431,f238(x94431)),x94432),x94434)))
% 207.24/207.90 [9444]~P102(x94441)+~P1(f327(f35(x94441),x94444))+P1(f327(f327(f329(x94441),f506(x94442,x94443,x94444,x94441)),x94444))+P1(f327(f327(f234(x94441),f327(f327(f103(x94441),x94443),x94442)),f327(f327(f64(x94441,x94441,f103(x94441)),x94442),x94444)))
% 207.24/207.90 [9848]~P1(f327(f35(x98482),x98484))+~P1(f327(f35(x98481),x98483))+~P1(f327(f327(f234(a915),f327(f36(x98482),x98484)),f327(f36(x98481),x98483)))+P1(f327(f327(f234(f922(x98481,a910)),f327(f310(x98482,x98481,f875(x98483,x98481,x98484,x98482)),x98484)),x98483))
% 207.24/207.90 [9492]~P1(f327(f327(f329(x94921),x94922),x94924))+P1(f327(f327(f329(x94921),x94922),x94923))+~P1(f327(f327(f235(f922(x94921,a910)),x94924),f327(f327(f309(x94921),x94922),x94923)))+P1(f327(f327(f235(f922(x94921,a910)),f327(f327(f23(f922(x94921,a910)),x94924),f327(f327(f309(x94921),x94922),f190(f922(x94921,a910))))),x94923))
% 207.24/207.90 [9660]~P1(f327(f327(f329(x96601),x96602),x96604))+P1(f327(f327(f329(x96601),x96602),x96603))+P1(f327(f327(f235(f922(x96601,a910)),x96604),f327(f327(f309(x96601),x96602),x96603)))+~P1(f327(f327(f235(f922(x96601,a910)),f327(f327(f23(f922(x96601,a910)),x96604),f327(f327(f309(x96601),x96602),f190(f922(x96601,a910))))),x96603))
% 207.24/207.90 [9686]P1(f327(f327(f329(x96861),x96862),x96863))+~P1(f327(f327(f234(f922(x96861,a910)),x96864),x96863))+P1(f327(f327(f235(f922(x96861,a910)),x96864),f327(f327(f309(x96861),x96862),x96863)))+~P1(f327(f327(f235(f922(x96861,a910)),f327(f327(f23(f922(x96861,a910)),x96864),f327(f327(f309(x96861),x96862),f190(f922(x96861,a910))))),x96863))
% 207.24/207.90 [9691]~P1(f327(f327(f329(x96911),x96913),x96912))+~P1(f327(f327(f235(f922(x96911,a910)),x96912),x96914))+P1(f327(f327(f235(f922(x96911,a910)),x96912),f327(f327(f309(x96911),x96913),x96914)))+~P1(f327(f327(f235(f922(x96911,a910)),f327(f327(f23(f922(x96911,a910)),x96912),f327(f327(f309(x96911),x96913),f190(f922(x96911,a910))))),x96914))
% 207.24/207.90 [9708]~P1(f327(f327(f234(f922(x97081,a910)),x97082),x97084))+~P1(f327(f327(f235(f922(x97081,a910)),x97082),x97084))+P1(f327(f327(f235(f922(x97081,a910)),x97082),f327(f327(f309(x97081),x97083),x97084)))+~P1(f327(f327(f235(f922(x97081,a910)),f327(f327(f23(f922(x97081,a910)),x97082),f327(f327(f309(x97081),x97083),f190(f922(x97081,a910))))),x97084))
% 207.24/207.90 [9753]~P110(x97532)+~P60(x97531)+~P1(f327(f327(f234(f922(x97531,x97532)),x97533),x97534))+P1(f327(f58(x97531),f327(f327(f18(x97531,x97532,a910),f327(f327(f8(x97532,f922(x97532,a910),x97531),f234(x97532)),x97533)),x97534)))
% 207.24/207.90 [9896]~P110(x98962)+~P60(x98961)+P1(f327(f327(f234(f922(x98961,x98962)),x98963),x98964))+~P1(f327(f58(x98961),f327(f327(f18(x98961,x98962,a910),f327(f327(f8(x98962,f922(x98962,a910),x98961),f234(x98962)),x98963)),x98964)))
% 207.24/207.90 [10063]E(f327(f327(f165(x100631),f327(f327(f165(f916(x100631)),f180(x100631,x100632)),x100633)),x100634),f327(f327(f165(x100631),f327(f327(f165(f916(x100631)),x100632),x100634)),x100633))+~P1(f327(f327(f235(a915),x100633),f327(f191(f916(f916(x100631))),f180(x100631,x100632))))+~P11(a915,f327(f169(a915),f327(f327(f155(f916(x100631),a915),f191(f916(x100631))),x100632)))+~P1(f327(f327(f235(a915),x100634),f327(f191(f916(f916(x100631))),f327(f137(f916(x100631),f327(f327(f8(a915,a910,f916(x100631)),f327(f235(a915),x100633)),f191(f916(x100631)))),x100632))))
% 207.24/207.90 [10084]~P1(f327(f327(f329(f921(a915,a915)),x100844),x100841))+~P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),x100844),x100842)),a32))+~P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),x100841),x100843)),a33))+P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),x100841),f327(f327(f309(f921(a915,a915)),x100842),x100843))),a33))
% 207.24/207.90 [10085]~P1(f327(f327(f329(f921(a915,a915)),x100854),x100851))+~P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),x100854),x100852)),a70))+~P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),x100851),x100853)),a71))+P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),x100851),f327(f327(f309(f921(a915,a915)),x100852),x100853))),a71))
% 207.24/207.90 [9974]~P110(x99742)+~P60(x99741)+~P1(f327(f327(f235(f922(x99741,x99742)),x99743),x99744))+P1(f327(f57(x99741),f327(f327(f8(a910,a910,x99741),a322),f327(f327(f18(x99741,x99742,a910),f327(f327(f8(x99742,f922(x99742,a910),x99741),a324),x99743)),x99744))))
% 207.24/207.90 [10097]~P1(f327(f327(f329(f921(a915,a915)),x100974),x100973))+~P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),x100971),x100974)),a32))+~P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),x100972),x100973)),a34))+P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),f327(f327(f309(f921(a915,a915)),x100971),x100972)),x100973)),a34))
% 207.24/207.90 [10098]~P1(f327(f327(f329(f921(a915,a915)),x100984),x100983))+~P1(f327(f327(f329(f921(f921(a915,a915),f921(a915,a915))),f327(f327(f252(f921(a915,a915),f921(a915,a915)),x100981),x100984)),a70))+~P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),x100982),x100983)),a69))+P1(f327(f327(f329(f921(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910))),f327(f327(f252(f922(f921(a915,a915),a910),f922(f921(a915,a915),a910)),f327(f327(f309(f921(a915,a915)),x100981),x100982)),x100983)),a69))
% 207.24/207.90 [6213]~P5(x62134,x62131)+~P1(f327(f327(x62131,x62132),x62135))+P1(f327(f327(x62131,x62132),x62133))+~P1(f327(f327(x62131,x62135),x62133))
% 207.24/207.90 [6214]~P47(x62144,x62141)+~P1(f327(f327(x62141,x62142),x62145))+P1(f327(f327(x62141,x62142),x62143))+~P1(f327(f327(x62141,x62145),x62143))
% 207.24/207.90 [6215]~P13(x62154,x62151)+~P1(f327(f327(x62151,x62152),x62155))+P1(f327(f327(x62151,x62152),x62153))+~P1(f327(f327(x62151,x62155),x62153))
% 207.24/207.90 [8909]~P5(x89094,x89093)+~P1(f327(x89091,x89095))+P1(f327(x89092,f828(x89092,x89091,x89093,x89094)))+P1(f327(x89091,f827(x89092,x89091,x89093,x89094)))
% 207.24/207.90 [9147]~P5(x91474,x91473)+~P1(f327(x91472,x91475))+~P1(f327(x91471,f827(x91471,x91472,x91473,x91474)))+P1(f327(x91471,f828(x91471,x91472,x91473,x91474)))
% 207.24/207.90 [9329]~P5(x93294,x93293)+~P1(f327(x93291,x93295))+P1(f327(f327(f329(x93294),f828(x93292,x93291,x93293,x93294)),f270(x93294,x93293)))+P1(f327(x93291,f827(x93292,x93291,x93293,x93294)))
% 207.24/207.90 [9450]~P5(x94501,x94504)+~P1(f327(x94503,x94505))+~P1(f327(x94502,f827(x94502,x94503,x94504,x94501)))+P1(f327(f327(f329(x94501),f828(x94502,x94503,x94504,x94501)),f270(x94501,x94504)))
% 207.24/207.90 [9742]~P36(x97421,x97424)+P1(f327(f327(f329(f921(f916(x97421),f916(x97421))),f327(f327(f252(f916(x97421),f916(x97421)),x97422),x97423)),f148(x97421,x97424)))+~P1(f327(f327(f329(f921(f916(x97421),f916(x97421))),f327(f327(f252(f916(x97421),f916(x97421)),x97422),x97425)),f148(x97421,x97424)))+~P1(f327(f327(f329(f921(f916(x97421),f916(x97421))),f327(f327(f252(f916(x97421),f916(x97421)),x97425),x97423)),f148(x97421,x97424)))
% 207.24/207.90 [5450]~P67(x54505)+E(x54501,x54502)+~E(x54503,x54504)+~E(f327(f327(f23(x54505),x54503),x54504),f327(f327(f23(x54505),x54501),x54502))
% 207.24/207.90 [6332]~P15(x63325,x63321,x63323)+E(f327(f327(x63321,x63322),f327(x63323,x63324)),f327(x63323,x63324))+~P1(f327(f35(x63325),x63324))+~P1(f327(f327(f329(x63325),x63322),x63324))
% 207.24/207.90 [6523]~P78(x65231)+~E(f327(f327(f23(x65231),x65234),x65235),f327(f327(f23(x65231),x65232),x65233))+~P1(f327(f327(f234(x65231),x65234),x65235))+P1(f327(f327(f234(x65231),x65232),x65233))
% 207.24/207.90 [6525]~P78(x65251)+~E(f327(f327(f23(x65251),x65254),x65255),f327(f327(f23(x65251),x65252),x65253))+~P1(f327(f327(f235(x65251),x65254),x65255))+P1(f327(f327(f235(x65251),x65252),x65253))
% 207.24/207.90 [7504]~E(x75042,f327(f327(f152(x75041),x75044),x75045))+P1(f327(f327(f329(f916(x75041)),x75042),f162(x75041,x75043)))+~P1(f327(f327(f329(f916(x75041)),x75045),f162(x75041,x75043)))+~P1(f327(f327(f329(x75041),x75044),x75043))
% 207.24/207.90 [7905]~E(f327(f191(f916(x79051)),x79053),f327(f191(f916(x79052)),x79054))+~E(f327(f327(f155(f921(x79051,x79052),x79052),f256(x79051,x79052)),x79055),x79054)+~E(f327(f327(f155(f921(x79051,x79052),x79051),f251(x79051,x79052)),x79055),x79053)+E(f327(f327(f182(x79051,x79052),x79053),x79054),x79055)
% 207.24/207.90 [8236]~P110(x82361)+P1(f327(f327(f235(f922(x82361,a910)),f303(x82361,x82362,x82363)),f303(x82361,x82364,x82365)))+~P1(f327(f327(f234(x82361),x82364),x82365))+P1(f327(f327(f234(x82361),x82362),x82363))
% 207.24/207.90 [8336]~P110(x83361)+P1(f327(f327(f234(f922(x83361,a910)),f303(x83361,x83362,x83363)),f303(x83361,x83364,x83365)))+~P1(f327(f327(f234(x83361),x83363),x83365))+~P1(f327(f327(f234(x83361),x83364),x83362))
% 207.24/207.90 [8454]~P108(x84541)+P1(f327(f327(f234(x84541),x84542),x84543))+P1(f327(f327(f234(x84541),x84544),x84543))+~P1(f327(f327(f234(f922(x84541,a910)),f327(f302(x84541,x84543),x84542)),f327(f302(x84541,x84544),x84545)))
% 207.24/207.90 [8455]~P108(x84551)+P1(f327(f327(f234(x84551),x84552),x84553))+P1(f327(f327(f234(x84551),x84552),x84554))+~P1(f327(f327(f234(f922(x84551,a910)),f327(f302(x84551,x84553),x84552)),f327(f302(x84551,x84555),x84554)))
% 207.24/207.90 [8687]~P110(x86871)+~P1(f327(f327(f234(f922(x86871,a910)),f303(x86871,x86874,x86872)),f303(x86871,x86875,x86873)))+P1(f327(f327(f234(x86871),x86872),x86873))+~P1(f327(f327(f234(x86871),x86874),x86872))
% 207.24/207.90 [8688]~P110(x86881)+~P1(f327(f327(f235(f922(x86881,a910)),f303(x86881,x86884,x86882)),f303(x86881,x86885,x86883)))+P1(f327(f327(f234(x86881),x86882),x86883))+~P1(f327(f327(f234(x86881),x86884),x86882))
% 207.24/207.90 [8689]~P110(x86891)+~P1(f327(f327(f234(f922(x86891,a910)),f303(x86891,x86893,x86894)),f303(x86891,x86892,x86895)))+P1(f327(f327(f234(x86891),x86892),x86893))+~P1(f327(f327(f234(x86891),x86893),x86894))
% 207.24/207.90 [8690]~P110(x86901)+~P1(f327(f327(f235(f922(x86901,a910)),f303(x86901,x86903,x86904)),f303(x86901,x86902,x86905)))+P1(f327(f327(f234(x86901),x86902),x86903))+~P1(f327(f327(f234(x86901),x86903),x86904))
% 207.24/207.90 [6212]~P15(x62122,x62125,x62123)+E(x62121,f190(f922(x62122,a910)))+~P1(f327(f35(x62122),x62121))+E(f327(x62123,f327(f327(f309(x62122),x62124),x62121)),f327(f327(x62125,x62124),f327(x62123,x62121)))
% 207.24/207.90 [6993]~E(x69931,x69932)+~E(f327(f327(f103(f922(x69933,a910)),x69934),x69935),f190(f922(x69933,a910)))+~P1(f327(f327(f329(x69933),x69932),x69935))+~P1(f327(f327(f329(x69933),x69931),x69934))
% 207.24/207.90 [7074]~P16(x70742,x70745,x70741)+~P1(f327(f35(x70742),x70744))+E(f327(x70741,f327(f327(f309(x70742),x70743),x70744)),f327(f327(f64(x70742,x70742,x70745),x70743),x70744))+P1(f327(f327(f329(x70742),x70743),x70744))
% 207.24/207.90 [7141]~P68(x71412)+~P1(f327(f35(x71411),x71415))+E(f327(f327(f6(x71411,x71412),x71413),f327(f327(f309(x71411),x71414),x71415)),f327(f327(f80(x71412),f327(x71413,x71414)),f327(f327(f6(x71411,x71412),x71413),x71415)))+P1(f327(f327(f329(x71411),x71414),x71415))
% 207.24/207.90 [7143]~P75(x71432)+~P1(f327(f35(x71431),x71435))+E(f327(f327(f9(x71431,x71432),x71433),f327(f327(f309(x71431),x71434),x71435)),f327(f327(f81(x71432),f327(x71433,x71434)),f327(f327(f9(x71431,x71432),x71433),x71435)))+P1(f327(f327(f329(x71431),x71434),x71435))
% 207.24/207.90 [7648]~P16(x76482,x76485,x76481)+~P1(f327(f35(x76482),x76484))+E(f327(x76481,f327(f327(f309(x76482),x76483),x76484)),x76483)+~E(f327(f327(f23(f922(x76482,a910)),x76484),f327(f327(f309(x76482),x76483),f190(f922(x76482,a910)))),f190(f922(x76482,a910)))
% 207.24/207.90 [8004]~P58(x80041)+E(f327(f327(f37(x80041),f327(f327(f81(x80041),x80042),x80043)),f327(f327(f81(x80041),x80044),x80045)),f327(f327(f81(x80041),f327(f327(f37(x80041),x80042),x80044)),f327(f327(f37(x80041),x80043),x80045)))+~P1(f327(f327(f287(x80041),x80045),x80043))+~P1(f327(f327(f287(x80041),x80044),x80042))
% 207.24/207.90 [8008]~P83(x80081)+~P1(f327(f327(f234(x80081),x80083),x80085))+~P1(f327(f327(f234(x80081),x80082),x80084))+P1(f327(f327(f234(x80081),f327(f327(f80(x80081),x80082),x80083)),f327(f327(f80(x80081),x80084),x80085)))
% 207.24/207.90 [8009]~P108(x80091)+~P1(f327(f327(f234(x80091),x80093),x80095))+~P1(f327(f327(f234(x80091),x80092),x80094))+P1(f327(f327(f234(x80091),f327(f327(f238(x80091),x80092),x80093)),f327(f327(f238(x80091),x80094),x80095)))
% 207.24/207.90 [8010]~P108(x80101)+~P1(f327(f327(f234(x80101),x80103),x80105))+~P1(f327(f327(f234(x80101),x80102),x80104))+P1(f327(f327(f234(x80101),f327(f327(f189(x80101),x80102),x80103)),f327(f327(f189(x80101),x80104),x80105)))
% 207.24/207.90 [8011]~P101(x80111)+~P1(f327(f327(f234(x80111),x80113),x80115))+~P1(f327(f327(f234(x80111),x80112),x80114))+P1(f327(f327(f234(x80111),f327(f327(f102(x80111),x80112),x80113)),f327(f327(f102(x80111),x80114),x80115)))
% 207.24/207.90 [8012]~P102(x80121)+~P1(f327(f327(f234(x80121),x80123),x80125))+~P1(f327(f327(f234(x80121),x80122),x80124))+P1(f327(f327(f234(x80121),f327(f327(f103(x80121),x80122),x80123)),f327(f327(f103(x80121),x80124),x80125)))
% 207.24/207.90 [8013]~P85(x80131)+~P1(f327(f327(f234(x80131),x80133),x80135))+~P1(f327(f327(f235(x80131),x80132),x80134))+P1(f327(f327(f235(x80131),f327(f327(f80(x80131),x80132),x80133)),f327(f327(f80(x80131),x80134),x80135)))
% 207.24/207.90 [8014]~P85(x80141)+~P1(f327(f327(f234(x80141),x80142),x80144))+~P1(f327(f327(f235(x80141),x80143),x80145))+P1(f327(f327(f235(x80141),f327(f327(f80(x80141),x80142),x80143)),f327(f327(f80(x80141),x80144),x80145)))
% 207.24/207.90 [8015]~P85(x80151)+~P1(f327(f327(f235(x80151),x80153),x80155))+~P1(f327(f327(f235(x80151),x80152),x80154))+P1(f327(f327(f235(x80151),f327(f327(f80(x80151),x80152),x80153)),f327(f327(f80(x80151),x80154),x80155)))
% 207.24/207.90 [8016]~P112(x80161)+~P1(f327(f327(f287(x80161),x80163),x80165))+~P1(f327(f327(f287(x80161),x80162),x80164))+P1(f327(f327(f287(x80161),f327(f327(f81(x80161),x80162),x80163)),f327(f327(f81(x80161),x80164),x80165)))
% 207.24/207.90 [8152]~P144(x81525)+E(x81521,x81522)+E(x81523,x81524)+~E(f327(f327(f80(x81525),f327(f327(f81(x81525),x81523),x81521)),f327(f327(f81(x81525),x81524),x81522)),f327(f327(f80(x81525),f327(f327(f81(x81525),x81523),x81522)),f327(f327(f81(x81525),x81524),x81521)))
% 207.24/207.90 [8356]~P108(x83564)+~P1(f327(f138(x83561),x83563))+P1(f327(f327(f329(x83561),x83562),f327(f173(x83561),x83563)))+P1(f327(f138(x83561),f327(f327(f149(x83561,x83564,x83565),x83562),x83563)))
% 207.24/207.90 [8501]~P67(x85011)+E(f327(f327(f23(x85011),f327(f327(f6(a915,x85011),x85012),f327(f302(a915,x85013),x85014))),f327(f327(f6(a915,x85011),x85012),f327(f302(a915,x85013),x85015))),f327(f327(f6(a915,x85011),x85012),f327(f302(a915,x85015),x85014)))+~P1(f327(f327(f234(a915),x85015),x85014))+~P1(f327(f327(f234(a915),x85013),x85015))
% 207.24/207.90 [8502]~P68(x85021)+E(f327(f327(f80(x85021),f327(f327(f6(a915,x85021),x85022),f327(f302(a915,x85023),x85024))),f327(f327(f6(a915,x85021),x85022),f327(f302(a915,x85024),x85025))),f327(f327(f6(a915,x85021),x85022),f327(f302(a915,x85023),x85025)))+~P1(f327(f327(f234(a915),x85024),x85025))+~P1(f327(f327(f234(a915),x85023),x85024))
% 207.24/207.90 [8830]~P62(x88302)+E(x88301,f2(x88302))+E(x88303,f2(x88302))+E(f327(f327(f291(x88302),f327(f327(f23(x88302),f327(f327(f81(x88302),x88304),x88301)),f327(f327(f81(x88302),x88305),x88303))),f327(f327(f81(x88302),x88303),x88301)),f327(f327(f23(x88302),f327(f327(f291(x88302),x88304),x88303)),f327(f327(f291(x88302),x88305),x88301)))
% 207.24/207.90 [8831]~P62(x88312)+E(x88311,f2(x88312))+E(x88313,f2(x88312))+E(f327(f327(f291(x88312),f327(f327(f80(x88312),f327(f327(f81(x88312),x88314),x88311)),f327(f327(f81(x88312),x88315),x88313))),f327(f327(f81(x88312),x88313),x88311)),f327(f327(f80(x88312),f327(f327(f291(x88312),x88314),x88313)),f327(f327(f291(x88312),x88315),x88311)))
% 207.24/207.90 [8840]~E(x88402,f327(x88403,x88401))+E(x88401,f878(x88402,x88403,x88404,x88405))+~P23(x88405,x88404,x88403,f242(f922(x88405,a910)))+~P1(f327(f327(f329(x88404),x88402),f327(f310(x88405,x88404,x88403),f242(f922(x88405,a910)))))
% 207.24/207.90 [9057]~P119(x90571)+~P1(f327(f327(f235(x90571),f327(f75(x90571),x90572)),x90574))+P1(f327(f327(f235(x90571),f327(f327(f81(x90571),f327(f75(x90571),x90572)),f327(f75(x90571),x90573))),f327(f327(f81(x90571),x90574),x90575)))+~P1(f327(f327(f235(x90571),f327(f75(x90571),x90573)),x90575))
% 207.24/207.90 [9172]~P23(x91721,x91723,x91725,x91722)+~P1(f327(f35(x91723),x91724))+P1(f327(f327(f234(a915),f327(f36(x91721),x91722)),f327(f36(x91723),x91724)))+~P1(f327(f327(f234(f922(x91723,a910)),f327(f310(x91721,x91723,x91725),x91722)),x91724))
% 207.24/207.90 [9239]~P68(x92392)+~P23(x92391,x92391,x92394,x92395)+~P1(f327(f35(x92391),x92395))+E(f327(f327(f6(x92391,x92392),f327(f72(x92391,x92392,x92391,x92393),x92394)),x92395),f327(f327(f6(x92391,x92392),x92393),f327(f310(x92391,x92391,x92394),x92395)))
% 207.24/207.90 [9240]~P75(x92402)+~P23(x92401,x92401,x92404,x92405)+~P1(f327(f35(x92401),x92405))+E(f327(f327(f9(x92401,x92402),f327(f72(x92401,x92402,x92401,x92403),x92404)),x92405),f327(f327(f9(x92401,x92402),x92403),f327(f310(x92401,x92401,x92404),x92405)))
% 207.24/207.90 [9357]~P35(x93571,x93572)+~P1(f327(f327(f329(x93571),x93573),x93574))+~P1(f327(f327(f329(x93571),x93575),x93574))+~P1(f327(f327(f329(f921(x93571,x93571)),f327(f327(f252(x93571,x93571),x93575),f609(x93572,x93571,x93574))),x93572))
% 207.24/207.90 [9393]~P23(x93932,x93933,x93935,x93931)+E(x93931,f190(f922(x93932,a910)))+E(f327(f310(x93933,x93932,f492(x93934,x93933,x93932,x93931)),x93934),x93931)+~P1(f327(f327(f234(f922(x93933,a910)),f327(f310(x93932,x93933,x93935),x93931)),x93934))
% 207.24/207.90 [9877]~P108(x98775)+~P3(x98775)+P1(f327(f327(f329(x98771),f344(x98772,x98773,x98771,x98774,x98775)),x98773))+~P1(f327(f327(f235(x98775),x98774),f327(f327(f40(x98771,x98775),x98773),x98772)))
% 207.24/207.90 [9882]~P108(x98821)+~P3(x98821)+P1(f327(f327(f235(x98821),x98822),f327(x98823,f344(x98823,x98824,x98825,x98822,x98821))))+~P1(f327(f327(f235(x98821),x98822),f327(f327(f40(x98825,x98821),x98824),x98823)))
% 207.24/207.90 [9901]~P68(x99015)+~P83(x99015)+P1(f327(f327(f329(x99011),f873(x99012,x99013,x99014,x99011,x99015)),x99014))+P1(f327(f327(f234(x99015),f327(f327(f6(x99011,x99015),x99013),x99014)),f327(f327(f6(x99011,x99015),x99012),x99014)))
% 207.24/207.90 [9961]~P72(x99611)+~P1(f327(f66(x99611,x99611,f81(x99611),x99612,x99613),x99615))+P1(f327(f327(f329(x99611),x99612),x99613))+P1(f327(f66(x99611,x99611,f81(x99611),x99614,f327(f327(f309(x99611),x99612),x99613)),f327(f327(f81(x99611),x99614),x99615)))
% 207.24/207.90 [10175]~P68(x101752)+~P1(f327(f35(x101751),x101755))+E(f327(f327(f6(x101751,x101752),f327(f327(f7(x101751,x101752,x101752),f327(f327(f18(x101751,x101752,f922(x101752,x101752)),f327(f327(f8(a910,f922(x101752,f922(x101752,x101752)),x101751),f97(x101752)),f327(a324,x101753))),x101754)),f2(x101752))),x101755),f2(x101752))+P1(f327(f327(f329(x101751),x101753),x101755))
% 207.24/207.90 [10176]~P75(x101762)+~P1(f327(f35(x101761),x101765))+E(f327(f327(f9(x101761,x101762),f327(f327(f7(x101761,x101762,x101762),f327(f327(f18(x101761,x101762,f922(x101762,x101762)),f327(f327(f8(a910,f922(x101762,f922(x101762,x101762)),x101761),f97(x101762)),f327(a324,x101763))),x101764)),f78(x101762))),x101765),f78(x101762))+P1(f327(f327(f329(x101761),x101763),x101765))
% 207.24/207.90 [10177]~P68(x101772)+~P1(f327(f35(x101771),x101775))+E(f327(f327(f6(x101771,x101772),f327(f327(f7(x101771,x101772,x101772),f327(f327(f18(x101771,x101772,f922(x101772,x101772)),f327(f327(f8(a910,f922(x101772,f922(x101772,x101772)),x101771),f97(x101772)),f327(a324,x101773))),x101774)),f2(x101772))),x101775),f327(x101774,x101773))+~P1(f327(f327(f329(x101771),x101773),x101775))
% 207.24/207.90 [10178]~P75(x101782)+~P1(f327(f35(x101781),x101785))+E(f327(f327(f9(x101781,x101782),f327(f327(f7(x101781,x101782,x101782),f327(f327(f18(x101781,x101782,f922(x101782,x101782)),f327(f327(f8(a910,f922(x101782,f922(x101782,x101782)),x101781),f97(x101782)),f327(a324,x101783))),x101784)),f78(x101782))),x101785),f327(x101784,x101783))+~P1(f327(f327(f329(x101781),x101783),x101785))
% 207.24/207.90 [10190]~P68(x101901)+~P83(x101901)+~P1(f327(f327(f234(x101901),f327(x101903,f873(x101905,x101903,x101904,x101902,x101901))),f327(x101905,f873(x101905,x101903,x101904,x101902,x101901))))+P1(f327(f327(f234(x101901),f327(f327(f6(x101902,x101901),x101903),x101904)),f327(f327(f6(x101902,x101901),x101905),x101904)))
% 207.24/207.90 [10236]~P68(x102362)+~P1(f327(f35(x102361),x102365))+E(f327(f327(f6(x102361,x102362),f327(f327(f7(x102361,x102362,x102362),f327(f327(f18(x102361,x102362,f922(x102362,x102362)),f327(f327(f8(a910,f922(x102362,f922(x102362,x102362)),x102361),f97(x102362)),f327(f327(f7(x102361,x102361,a910),a324),x102363))),x102364)),f2(x102362))),x102365),f2(x102362))+P1(f327(f327(f329(x102361),x102363),x102365))
% 207.24/207.90 [10237]~P75(x102372)+~P1(f327(f35(x102371),x102375))+E(f327(f327(f9(x102371,x102372),f327(f327(f7(x102371,x102372,x102372),f327(f327(f18(x102371,x102372,f922(x102372,x102372)),f327(f327(f8(a910,f922(x102372,f922(x102372,x102372)),x102371),f97(x102372)),f327(f327(f7(x102371,x102371,a910),a324),x102373))),x102374)),f78(x102372))),x102375),f78(x102372))+P1(f327(f327(f329(x102371),x102373),x102375))
% 207.24/207.90 [10239]~P68(x102392)+~P1(f327(f35(x102391),x102395))+E(f327(f327(f6(x102391,x102392),f327(f327(f7(x102391,x102392,x102392),f327(f327(f18(x102391,x102392,f922(x102392,x102392)),f327(f327(f8(a910,f922(x102392,f922(x102392,x102392)),x102391),f97(x102392)),f327(f327(f7(x102391,x102391,a910),a324),x102393))),x102394)),f2(x102392))),x102395),f327(x102394,x102393))+~P1(f327(f327(f329(x102391),x102393),x102395))
% 207.24/207.90 [10240]~P75(x102402)+~P1(f327(f35(x102401),x102405))+E(f327(f327(f9(x102401,x102402),f327(f327(f7(x102401,x102402,x102402),f327(f327(f18(x102401,x102402,f922(x102402,x102402)),f327(f327(f8(a910,f922(x102402,f922(x102402,x102402)),x102401),f97(x102402)),f327(f327(f7(x102401,x102401,a910),a324),x102403))),x102404)),f78(x102402))),x102405),f327(x102404,x102403))+~P1(f327(f327(f329(x102401),x102403),x102405))
% 207.24/207.90 [8007]~P67(x80072)+~P1(f327(f35(x80071),x80074))+E(f327(f327(f6(x80071,x80072),x80073),f327(f327(f23(f922(x80071,a910)),x80074),f327(f327(f309(x80071),x80075),f190(f922(x80071,a910))))),f327(f327(f6(x80071,x80072),x80073),x80074))+P1(f327(f327(f329(x80071),x80075),x80074))
% 207.24/207.90 [8509]~P106(x85092)+~P1(f327(f35(x85091),x85094))+E(f327(f327(f6(x85091,x85092),x85093),f327(f327(f23(f922(x85091,a910)),x85094),f327(f327(f309(x85091),x85095),f190(f922(x85091,a910))))),f327(f327(f23(x85092),f327(f327(f6(x85091,x85092),x85093),x85094)),f327(x85093,x85095)))+~P1(f327(f327(f329(x85091),x85095),x85094))
% 207.24/207.90 [8510]~P67(x85102)+~P1(f327(f35(x85101),x85104))+E(f327(f327(f6(x85101,x85102),x85103),f327(f327(f23(f922(x85101,a910)),x85104),f327(f327(f309(x85101),x85105),f190(f922(x85101,a910))))),f327(f327(f23(x85102),f327(f327(f6(x85101,x85102),x85103),x85104)),f327(x85103,x85105)))+~P1(f327(f327(f329(x85101),x85105),x85104))
% 207.24/207.90 [8539]~P67(x85391)+~P1(f327(f35(x85392),x85394))+E(f327(f327(f23(x85391),f327(f327(f6(x85392,x85391),x85393),x85394)),f327(f327(f6(x85392,x85391),x85393),x85395)),f327(f327(f6(x85392,x85391),x85393),f327(f327(f23(f922(x85392,a910)),x85394),x85395)))+~P1(f327(f327(f234(f922(x85392,a910)),x85395),x85394))
% 207.24/207.90 [8558]P1(f327(f35(x85581),f327(x85582,x85583)))+~P1(f327(f35(x85584),x85585))+~P1(f327(f327(f329(x85584),x85583),x85585))+~P1(f327(f35(x85581),f327(f327(f40(x85584,f922(x85581,a910)),x85585),x85582)))
% 207.24/207.90 [9013]~P6(x90131,x90135,x90134)+~E(f327(f285(x90131,x90131,x90134),f327(f327(f309(x90131),x90132),f190(f922(x90131,a910)))),f327(f285(x90131,x90131,x90134),f327(f327(f309(x90131),x90133),f190(f922(x90131,a910)))))+~P1(f327(f327(f329(x90131),x90133),x90135))+P1(f327(f327(f329(f921(x90131,x90131)),f327(f327(f252(x90131,x90131),x90132),x90133)),x90134))
% 207.24/207.90 [9314]~P1(f327(x93141,x93145))+P1(f327(x93141,f874(x93141,x93142,x93143,x93144)))+P1(f327(x93141,f870(x93141,x93142,x93143,x93144)))+~P1(f327(f327(f329(x93144),x93145),f327(f327(f102(f922(x93144,a910)),x93143),x93142)))
% 207.24/207.90 [9497]~P1(f327(x94971,x94975))+P1(f327(x94971,f870(x94971,x94972,x94973,x94974)))+P1(f327(f327(f329(x94974),f874(x94971,x94972,x94973,x94974)),x94972))+~P1(f327(f327(f329(x94974),x94975),f327(f327(f102(f922(x94974,a910)),x94973),x94972)))
% 207.24/207.90 [9498]~P1(f327(x94981,x94985))+P1(f327(x94981,f874(x94981,x94982,x94983,x94984)))+P1(f327(f327(f329(x94984),f870(x94981,x94982,x94983,x94984)),x94983))+~P1(f327(f327(f329(x94984),x94985),f327(f327(f102(f922(x94984,a910)),x94983),x94982)))
% 207.24/207.90 [9502]P1(f327(x95021,x95022))+~P1(f327(x95021,f880(x95021,x95023,x95024,x95025)))+~P1(f327(x95021,f879(x95021,x95023,x95024,x95025)))+~P1(f327(f327(f329(x95025),x95022),f327(f327(f102(f922(x95025,a910)),x95024),x95023)))
% 207.24/207.90 [9507]~P36(x95071,x95074)+~P1(f327(f327(f329(f921(x95071,x95071)),f327(f327(f252(x95071,x95071),x95072),x95075)),x95074))+P1(f327(f327(f329(f921(x95071,x95071)),f327(f327(f252(x95071,x95071),x95072),x95073)),x95074))+~P1(f327(f327(f329(f921(x95071,x95071)),f327(f327(f252(x95071,x95071),x95075),x95073)),x95074))
% 207.24/207.90 [9546]E(x95461,x95462)+~P1(f327(f327(f329(f921(x95463,x95463)),f327(f327(f252(x95463,x95463),x95461),x95462)),f307(x95463,x95465)))+P1(f327(f327(f329(x95463),x95461),x95464))+~P1(f327(f327(f234(f922(f921(x95463,x95463),a910)),x95465),f327(f327(f254(x95463,x95463),x95464),f327(f16(f922(x95463,a910),x95463),x95464))))
% 207.24/207.90 [9564]P1(f327(x95641,x95642))+~P1(f327(x95641,f879(x95641,x95644,x95645,x95643)))+P1(f327(f327(f329(x95643),f880(x95641,x95644,x95645,x95643)),x95644))+~P1(f327(f327(f329(x95643),x95642),f327(f327(f102(f922(x95643,a910)),x95645),x95644)))
% 207.24/207.90 [9565]P1(f327(x95651,x95652))+~P1(f327(x95651,f880(x95651,x95654,x95655,x95653)))+P1(f327(f327(f329(x95653),f879(x95651,x95654,x95655,x95653)),x95655))+~P1(f327(f327(f329(x95653),x95652),f327(f327(f102(f922(x95653,a910)),x95655),x95654)))
% 207.24/207.90 [9632]P1(f327(x96321,x96322))+P1(f327(f327(f329(x96323),f880(x96321,x96324,x96325,x96323)),x96324))+P1(f327(f327(f329(x96323),f879(x96321,x96324,x96325,x96323)),x96325))+~P1(f327(f327(f329(x96323),x96322),f327(f327(f102(f922(x96323,a910)),x96325),x96324)))
% 207.24/207.90 [9634]~P1(f327(x96342,x96345))+P1(f327(f327(f329(x96341),f874(x96342,x96343,x96344,x96341)),x96343))+P1(f327(f327(f329(x96341),f870(x96342,x96343,x96344,x96341)),x96344))+~P1(f327(f327(f329(x96341),x96345),f327(f327(f102(f922(x96341,a910)),x96344),x96343)))
% 207.24/207.90 [9784]~P6(x97841,x97845,x97844)+~P1(f327(f327(f329(x97841),x97843),x97845))+P1(f327(f327(f329(f921(x97841,x97841)),f327(f327(f252(x97841,x97841),x97842),x97843)),x97844))+~P1(f327(f327(f234(f922(x97841,a910)),f327(f285(x97841,x97841,x97844),f327(f327(f309(x97841),x97843),f190(f922(x97841,a910))))),f327(f285(x97841,x97841,x97844),f327(f327(f309(x97841),x97842),f190(f922(x97841,a910))))))
% 207.24/207.90 [9912]~P108(x99125)+~P3(x99125)+P1(f327(f327(f329(x99121),f356(x99122,x99123,x99124,x99121,x99125)),x99124))+~P1(f327(f327(f235(x99125),f327(f327(f41(x99121,x99125),x99124),x99123)),x99122))
% 207.24/207.90 [9944]~P83(x99445)+~P81(x99445)+P1(f327(f327(f329(x99441),f691(x99442,x99443,x99444,x99441,x99445)),f327(f173(x99441),x99444)))+P1(f327(f327(f234(x99445),f327(f166(x99445),f327(f327(f155(x99441,x99445),x99443),x99444))),f327(f166(x99445),f327(f327(f155(x99441,x99445),x99442),x99444))))
% 207.24/207.90 [10053]~P108(x100531)+~P3(x100531)+P1(f327(f327(f235(x100531),f327(x100532,f356(x100533,x100532,x100534,x100535,x100531))),x100533))+~P1(f327(f327(f235(x100531),f327(f327(f41(x100535,x100531),x100534),x100532)),x100533))
% 207.24/207.90 [10194]~P83(x101941)+~P81(x101941)+~P1(f327(f327(f234(x101941),f327(x101943,f691(x101945,x101943,x101944,x101942,x101941))),f327(x101945,f691(x101945,x101943,x101944,x101942,x101941))))+P1(f327(f327(f234(x101941),f327(f166(x101941),f327(f327(f155(x101942,x101941),x101943),x101944))),f327(f166(x101941),f327(f327(f155(x101942,x101941),x101945),x101944))))
% 207.24/207.90 [8853]~P68(x88531)+~P1(f327(f35(x88534),x88535))+~P1(f327(f327(f329(x88534),x88533),x88535))+E(f327(f327(f80(x88531),f327(x88532,x88533)),f327(f327(f6(x88534,x88531),x88532),f327(f327(f23(f922(x88534,a910)),x88535),f327(f327(f309(x88534),x88533),f190(f922(x88534,a910)))))),f327(f327(f6(x88534,x88531),x88532),x88535))
% 207.24/207.90 [8854]~P75(x88541)+~P1(f327(f35(x88544),x88545))+~P1(f327(f327(f329(x88544),x88543),x88545))+E(f327(f327(f81(x88541),f327(x88542,x88543)),f327(f327(f9(x88544,x88541),x88542),f327(f327(f23(f922(x88544,a910)),x88545),f327(f327(f309(x88544),x88543),f190(f922(x88544,a910)))))),f327(f327(f9(x88544,x88541),x88542),x88545))
% 207.24/207.90 [8914]~P16(x89141,x89144,x89145)+~P1(f327(f35(x89141),x89142))+E(f327(f327(f23(f922(x89141,a910)),x89142),f327(f327(f309(x89141),x89143),f190(f922(x89141,a910)))),f190(f922(x89141,a910)))+E(f327(f327(x89144,x89143),f327(x89145,f327(f327(f23(f922(x89141,a910)),x89142),f327(f327(f309(x89141),x89143),f190(f922(x89141,a910)))))),f327(x89145,f327(f327(f309(x89141),x89143),x89142)))
% 207.24/207.90 [9292]~P68(x92921)+~P1(f327(f35(x92922),x92925))+~P1(f327(f35(x92922),x92924))+E(f327(f327(f80(x92921),f327(f327(f6(x92922,x92921),x92923),f327(f327(f102(f922(x92922,a910)),x92924),x92925))),f327(f327(f6(x92922,x92921),x92923),f327(f327(f103(f922(x92922,a910)),x92924),x92925))),f327(f327(f80(x92921),f327(f327(f6(x92922,x92921),x92923),x92924)),f327(f327(f6(x92922,x92921),x92923),x92925)))
% 207.24/207.90 [9294]~P75(x92941)+~P1(f327(f35(x92942),x92945))+~P1(f327(f35(x92942),x92944))+E(f327(f327(f81(x92941),f327(f327(f9(x92942,x92941),x92943),f327(f327(f102(f922(x92942,a910)),x92944),x92945))),f327(f327(f9(x92942,x92941),x92943),f327(f327(f103(f922(x92942,a910)),x92944),x92945))),f327(f327(f81(x92941),f327(f327(f9(x92942,x92941),x92943),x92944)),f327(f327(f9(x92942,x92941),x92943),x92945)))
% 207.24/207.90 [9432]~P67(x94321)+~P1(f327(f35(x94322),x94325))+~P1(f327(f35(x94322),x94324))+E(f327(f327(f23(x94321),f327(f327(f80(x94321),f327(f327(f6(x94322,x94321),x94323),x94324)),f327(f327(f6(x94322,x94321),x94323),x94325))),f327(f327(f6(x94322,x94321),x94323),f327(f327(f103(f922(x94322,a910)),x94324),x94325))),f327(f327(f6(x94322,x94321),x94323),f327(f327(f102(f922(x94322,a910)),x94324),x94325)))
% 207.24/207.90 [9644]~P23(x96441,x96442,x96443,x96445)+~P23(x96441,x96442,x96443,x96444)+P23(x96441,x96442,x96443,f327(f327(f102(f922(x96441,a910)),x96444),x96445))+~E(f327(f327(f103(f922(x96442,a910)),f327(f310(x96441,x96442,x96443),f327(f327(f23(f922(x96441,a910)),x96444),x96445))),f327(f310(x96441,x96442,x96443),f327(f327(f23(f922(x96441,a910)),x96445),x96444))),f190(f922(x96442,a910)))
% 207.24/207.90 [9759]E(x97591,f2(a1))+~P1(f327(f327(f235(a1),f2(a1)),x97593))+~P1(f327(f50(x97592,x97591),f327(f327(f252(a1,a1),x97594),x97595)))+P1(f327(f50(x97592,f327(f327(f81(a1),x97591),x97593)),f327(f327(f252(a1,a1),f327(f327(f37(a1),x97594),x97593)),f327(f327(f80(a1),f327(f327(f81(a1),x97591),f46(a1,x97594,x97593))),x97595))))
% 207.24/207.90 [9767]~P1(f327(f327(f235(a915),f2(a915)),x97673))+~P1(f327(f327(f235(a915),f2(a915)),x97672))+~P1(f327(f49(x97671,x97672),f327(f327(f252(a915,a915),x97674),x97675)))+P1(f327(f49(x97671,f327(f327(f81(a915),x97672),x97673)),f327(f327(f252(a915,a915),f327(f327(f37(a915),x97674),x97673)),f327(f327(f80(a915),f327(f327(f81(a915),x97672),f46(a915,x97674,x97673))),x97675))))
% 207.24/207.90 [9816]~P75(x98161)+~P1(f327(f35(x98162),x98165))+~P1(f327(f35(x98162),x98164))+E(f327(f327(f81(x98161),f327(f327(f327(f65(x98161,x98162,f81(x98161)),x98163),f78(x98161)),f327(f327(f102(f922(x98162,a910)),x98164),x98165))),f327(f327(f327(f65(x98161,x98162,f81(x98161)),x98163),f78(x98161)),f327(f327(f103(f922(x98162,a910)),x98164),x98165))),f327(f327(f81(x98161),f327(f327(f327(f65(x98161,x98162,f81(x98161)),x98163),f78(x98161)),x98164)),f327(f327(f327(f65(x98161,x98162,f81(x98161)),x98163),f78(x98161)),x98165)))
% 207.24/207.90 [9818]~E(f327(f327(f176(x98181),x98185),x98182),f327(f327(f176(x98181),x98185),x98183))+P1(f327(f327(f329(f921(f916(x98181),f916(x98181))),f327(f327(f252(f916(x98181),f916(x98181)),x98182),x98183)),f148(x98181,x98184)))+~P1(f327(f327(f235(a915),x98185),f327(f327(f238(a915),f327(f191(f916(x98181)),x98182)),f327(f191(f916(x98181)),x98183))))+~P1(f327(f327(f329(f921(x98181,x98181)),f327(f327(f252(x98181,x98181),f327(f327(f165(x98181),x98182),x98185)),f327(f327(f165(x98181),x98183),x98185))),x98184))
% 207.24/207.90 [9933]~P83(x99335)+~P146(x99335)+P1(f327(f327(f329(x99331),f383(x99332,x99333,x99334,x99331,x99335)),x99334))+P1(f327(f327(f234(x99335),f327(f327(f6(x99331,x99335),x99333),x99334)),f327(f327(f81(x99335),f327(f101(x99335),f327(f36(x99331),x99334))),x99332)))
% 207.24/207.90 [10111]~P83(x101111)+~P146(x101111)+~P1(f327(f327(f234(x101111),f327(x101113,f383(x101115,x101113,x101114,x101112,x101111))),x101115))+P1(f327(f327(f234(x101111),f327(f327(f6(x101112,x101111),x101113),x101114)),f327(f327(f81(x101111),f327(f101(x101111),f327(f36(x101112),x101114))),x101115)))
% 207.24/207.90 [8882]E(f327(f327(f135(x88821),x88822),x88823),f327(f327(f135(x88821),x88824),x88825))+~E(f327(f327(f176(x88821),f327(f191(f916(x88821)),x88822)),x88824),x88822)+~E(f327(f327(f135(x88821),f327(f327(f139(x88821),f327(f191(f916(x88821)),x88822)),x88824)),x88825),x88823)+P1(f327(f327(f234(a915),f327(f191(f916(x88821)),x88824)),f327(f191(f916(x88821)),x88822)))
% 207.24/207.90 [9012]E(f327(f327(f135(x90121),x90122),x90123),f327(f327(f135(x90121),x90124),x90125))+~E(f327(f327(f176(x90121),f327(f191(f916(x90121)),x90122)),x90124),x90122)+~E(x90123,f327(f327(f135(x90121),f327(f327(f139(x90121),f327(f191(f916(x90121)),x90122)),x90124)),x90125))+~P1(f327(f327(f234(a915),f327(f191(f916(x90121)),x90122)),f327(f191(f916(x90121)),x90124)))
% 207.24/207.90 [10259]~P1(f327(x102595,x102594))+~P1(f327(f35(x102592),f327(f262(x102592),x102595)))+P1(f327(f35(x102591),f327(f262(x102591),f327(f327(f7(x102591,x102592,a910),x102593),x102594))))+~P1(f327(f35(x102591),f327(f262(x102591),f327(f327(f8(f922(x102592,a910),a910,x102591),f87(x102592)),f327(f327(f8(f922(x102592,a910),f922(x102592,a910),x102591),f327(f18(x102592,a910,a910),f327(f327(f8(a910,f922(a910,a910),x102592),a325),x102595))),x102593)))))
% 207.24/207.90 [10332]~P1(f327(f35(x103322),x103325))+~P1(f327(f327(f329(x103322),x103324),x103325))+P1(f327(f35(x103321),f327(f262(x103321),f327(f327(f7(x103321,x103322,a910),x103323),x103324))))+~P1(f327(f35(x103321),f327(f262(x103321),f327(f327(f8(f922(x103322,a910),a910,x103321),f87(x103322)),f327(f327(f8(f922(x103322,a910),f922(x103322,a910),x103321),f327(f18(x103322,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103322),a325),f327(f327(f7(x103322,f922(x103322,a910),a910),f329(x103322)),x103325)))),x103323)))))
% 207.24/207.90 [8668]~P17(x86685,x86681,x86686,x86682)+E(f327(f72(x86681,x86681,x86681,f327(x86682,x86683)),f327(x86682,x86684)),f327(f72(x86681,x86681,x86681,f327(x86682,x86684)),f327(x86682,x86683)))+~P1(f327(f35(x86685),x86684))+~P1(f327(f35(x86685),x86683))
% 207.24/207.90 [8063]~P23(x80631,x80632,x80634,x80633)+~E(f327(x80634,x80636),x80635)+E(f327(f77(x80631,x80632,x80633,x80634),x80635),x80636)+~P1(f327(f327(f329(x80631),x80636),x80633))
% 207.24/207.90 [8064]~P23(x80641,x80642,x80644,x80643)+~E(f327(x80644,x80646),x80645)+E(f327(f92(x80641,x80642,x80643,x80644),x80645),x80646)+~P1(f327(f327(f329(x80641),x80646),x80643))
% 207.24/207.90 [8257]~P18(x82576,x82571,x82574,x82572)+E(f327(f72(x82571,x82571,x82571,f327(x82572,x82573)),f327(x82574,x82575)),f327(x82572,x82573))+~P1(f327(f35(x82576),x82573))+~P1(f327(f327(f329(x82576),x82575),x82573))
% 207.24/207.90 [9385]E(x93851,x93852)+~E(f327(f92(x93853,x93854,x93855,x93856),x93851),f327(f92(x93853,x93854,x93855,x93856),x93852))+~P1(f327(f327(f329(x93854),x93852),f327(f310(x93853,x93854,x93856),x93855)))+~P1(f327(f327(f329(x93854),x93851),f327(f310(x93853,x93854,x93856),x93855)))
% 207.24/207.90 [9481]~P17(x94813,x94811,x94816,x94812)+E(f327(f72(x94811,x94811,x94811,f327(x94812,f327(f327(f23(f922(x94813,a910)),x94814),f327(f327(f309(x94813),x94815),f190(f922(x94813,a910)))))),f327(x94816,x94815)),f327(x94812,x94814))+~P1(f327(f35(x94813),x94814))+~P1(f327(f327(f329(x94813),x94815),x94814))
% 207.24/207.90 [7148]~P59(x71481)+~E(f46(x71481,x71483,x71484),f46(x71481,x71486,x71484))+~E(f46(x71481,x71482,x71484),f46(x71481,x71485,x71484))+E(f46(x71481,f327(f327(f23(x71481),x71482),x71483),x71484),f46(x71481,f327(f327(f23(x71481),x71485),x71486),x71484))
% 207.24/207.90 [7149]~P58(x71491)+~E(f46(x71491,x71493,x71494),f46(x71491,x71496,x71494))+~E(f46(x71491,x71492,x71494),f46(x71491,x71495,x71494))+E(f46(x71491,f327(f327(f80(x71491),x71492),x71493),x71494),f46(x71491,f327(f327(f80(x71491),x71495),x71496),x71494))
% 207.24/207.90 [7150]~P58(x71501)+~E(f46(x71501,x71503,x71504),f46(x71501,x71506,x71504))+~E(f46(x71501,x71502,x71504),f46(x71501,x71505,x71504))+E(f46(x71501,f327(f327(f81(x71501),x71502),x71503),x71504),f46(x71501,f327(f327(f81(x71501),x71505),x71506),x71504))
% 207.24/207.90 [7959]~P14(x79591,x79592,x79593)+~P1(f327(f35(x79591),x79596))+E(f327(f327(f64(x79591,x79592,x79593),x79594),f327(f327(f309(x79591),x79595),x79596)),f327(f327(f64(x79591,x79592,x79593),f327(f327(x79593,x79595),x79594)),x79596))+P1(f327(f327(f329(x79591),x79595),x79596))
% 207.24/207.90 [8022]~P3(x80221)+P1(f327(f327(f234(x80221),x80222),f327(x80223,x80224)))+~P1(f327(f327(f329(x80225),x80224),x80226))+~P1(f327(f327(f234(x80221),x80222),f327(f327(f41(x80225,x80221),x80226),x80223)))
% 207.24/207.90 [8179]~P14(x81791,x81792,x81793)+~P1(f327(f35(x81791),x81796))+E(f327(f327(f64(x81791,x81792,x81793),x81794),f327(f327(f309(x81791),x81795),x81796)),f327(f327(x81793,x81795),f327(f327(f64(x81791,x81792,x81793),x81794),x81796)))+P1(f327(f327(f329(x81791),x81795),x81796))
% 207.24/207.90 [8275]~P108(x82753)+~P1(f327(x82752,x82755))+~P11(x82753,f327(f327(f155(x82751,x82753),x82754),x82756))+E(f327(f137(x82751,x82752),f327(f327(f149(x82751,x82753,x82754),x82755),x82756)),f327(f327(f149(x82751,x82753,x82754),x82755),f327(f137(x82751,x82752),x82756)))
% 207.24/207.90 [8298]E(x82981,x82982)+E(x82983,f2(a1))+~P1(f327(f50(x82984,x82983),f327(f327(f252(a1,a1),x82985),x82982)))+~P1(f327(f50(x82984,x82983),f327(f327(f252(a1,a1),x82986),x82981)))
% 207.24/207.90 [8299]E(x82991,x82992)+E(x82993,f2(a1))+~P1(f327(f50(x82994,x82993),f327(f327(f252(a1,a1),x82992),x82995)))+~P1(f327(f50(x82994,x82993),f327(f327(f252(a1,a1),x82991),x82996)))
% 207.24/207.90 [8322]~P17(x83222,x83225,x83226,x83221)+~P1(f327(f35(x83222),x83224))+E(f327(x83221,f327(f327(f309(x83222),x83223),x83224)),f327(f72(x83225,x83225,x83225,f327(x83221,x83224)),f327(x83226,x83223)))+P1(f327(f327(f329(x83222),x83223),x83224))
% 207.24/207.90 [8542]~P18(x85425,x85421,x85426,x85422)+E(f327(f72(x85421,x85421,x85421,f327(x85422,x85423)),f327(x85422,x85424)),f327(x85422,x85423))+~P1(f327(f35(x85425),x85423))+~P1(f327(f327(f234(f922(x85425,a910)),x85424),x85423))
% 207.24/207.90 [9688]~P23(x96881,x96882,x96884,x96883)+~P1(f327(f327(f329(x96882),x96885),f327(f310(x96881,x96882,x96884),x96883)))+P1(f327(f327(f329(x96881),f327(f77(x96881,x96882,x96883,x96884),x96885)),x96886))+~P1(f327(f327(f234(f922(x96881,a910)),x96883),x96886))
% 207.24/207.90 [10064]~P68(x100642)+~E(f590(x100641,x100643,x100645,x100646,x100644,x100642),f591(x100641,x100643,x100645,x100646,x100644,x100642))+~P1(f327(f35(x100644),x100646))+E(f327(f327(f6(x100641,x100642),x100643),f327(f310(x100644,x100641,x100645),x100646)),f327(f327(f6(x100644,x100642),f327(f72(x100641,x100642,x100644,x100643),x100645)),x100646))
% 207.24/207.90 [10093]~P68(x100936)+E(f327(x100931,f590(x100932,x100933,x100931,x100934,x100935,x100936)),f327(x100931,f591(x100932,x100933,x100931,x100934,x100935,x100936)))+E(f327(f327(f6(x100932,x100936),x100933),f327(f310(x100935,x100932,x100931),x100934)),f327(f327(f6(x100935,x100936),f327(f72(x100932,x100936,x100935,x100933),x100931)),x100934))+~P1(f327(f35(x100935),x100934))
% 207.24/207.90 [10143]~P68(x101432)+~E(f327(x101433,f327(x101435,f591(x101431,x101433,x101435,x101436,x101434,x101432))),f2(x101432))+~P1(f327(f35(x101434),x101436))+E(f327(f327(f6(x101431,x101432),x101433),f327(f310(x101434,x101431,x101435),x101436)),f327(f327(f6(x101434,x101432),f327(f72(x101431,x101432,x101434,x101433),x101435)),x101436))
% 207.24/207.90 [10202]~P68(x102022)+~P1(f327(f35(x102024),x102026))+E(f327(f327(f6(x102021,x102022),x102023),f327(f310(x102024,x102021,x102025),x102026)),f327(f327(f6(x102024,x102022),f327(f72(x102021,x102022,x102024,x102023),x102025)),x102026))+P1(f327(f327(f329(x102024),f591(x102021,x102023,x102025,x102026,x102024,x102022)),x102026))
% 207.24/207.90 [10203]~P68(x102032)+~P1(f327(f35(x102034),x102036))+E(f327(f327(f6(x102031,x102032),x102033),f327(f310(x102034,x102031,x102035),x102036)),f327(f327(f6(x102034,x102032),f327(f72(x102031,x102032,x102034,x102033),x102035)),x102036))+P1(f327(f327(f329(x102034),f590(x102031,x102033,x102035,x102036,x102034,x102032)),x102036))
% 207.24/207.90 [10331]~P75(x103311)+~P1(f327(f35(x103312),x103316))+E(f327(f327(f327(f65(x103311,x103312,f81(x103311)),f327(f327(f18(x103312,f922(x103313,a910),x103311),f327(f327(f7(x103312,x103311,f922(f922(x103313,a910),x103311)),f327(f327(f8(f922(x103313,x103311),f922(x103311,f922(f922(x103313,a910),x103311)),x103312),f65(x103311,x103313,f81(x103311))),x103314)),f78(x103311))),x103315)),f78(x103311)),x103316),f327(f327(f327(f65(x103311,f921(x103312,x103313),f81(x103311)),f327(f257(x103312,x103313,x103311),x103314)),f78(x103311)),f327(f327(f254(x103312,x103313),x103316),x103315)))+P1(f327(f327(f329(x103312),f559(x103314,x103315,x103313,x103316,x103312,x103311)),x103316))
% 207.24/207.90 [10353]~P75(x103531)+~P1(f327(f35(x103532),x103536))+E(f327(f327(f327(f65(x103531,x103532,f81(x103531)),f327(f327(f18(x103532,f922(x103533,a910),x103531),f327(f327(f7(x103532,x103531,f922(f922(x103533,a910),x103531)),f327(f327(f8(f922(x103533,x103531),f922(x103531,f922(f922(x103533,a910),x103531)),x103532),f65(x103531,x103533,f81(x103531))),x103534)),f78(x103531))),x103535)),f78(x103531)),x103536),f327(f327(f327(f65(x103531,f921(x103532,x103533),f81(x103531)),f327(f257(x103532,x103533,x103531),x103534)),f78(x103531)),f327(f327(f254(x103532,x103533),x103536),x103535)))+~P1(f327(f35(x103533),f327(x103535,f559(x103534,x103535,x103533,x103536,x103532,x103531))))
% 207.24/207.90 [8453]~P18(x84532,x84535,x84536,x84531)+~P1(f327(f35(x84532),x84534))+~P1(f327(f35(x84532),x84533))+E(f327(x84531,f327(f327(f102(f922(x84532,a910)),x84533),x84534)),f327(f72(x84535,x84535,x84535,f327(x84531,x84533)),f327(x84531,x84534)))
% 207.24/207.90 [8669]~P3(x86691)+P1(f327(f327(f234(x86691),f327(x86692,x86693)),x86694))+~P1(f327(f327(f329(x86695),x86693),x86696))+~P1(f327(f327(f234(x86691),f327(f327(f40(x86695,x86691),x86696),x86692)),x86694))
% 207.24/207.90 [9100]~P23(x91002,x91001,x91003,x91006)+E(f327(f327(f23(f922(x91001,a910)),f327(f310(x91002,x91001,x91003),x91004)),f327(f310(x91002,x91001,x91003),x91005)),f327(f310(x91002,x91001,x91003),f327(f327(f23(f922(x91002,a910)),x91004),x91005)))+~P1(f327(f327(f234(f922(x91002,a910)),x91005),x91006))+~P1(f327(f327(f234(f922(x91002,a910)),x91004),x91006))
% 207.24/207.90 [9101]~P23(x91012,x91011,x91013,x91016)+E(f327(f327(f103(f922(x91011,a910)),f327(f310(x91012,x91011,x91013),x91014)),f327(f310(x91012,x91011,x91013),x91015)),f327(f310(x91012,x91011,x91013),f327(f327(f103(f922(x91012,a910)),x91014),x91015)))+~P1(f327(f327(f234(f922(x91012,a910)),x91015),x91016))+~P1(f327(f327(f234(f922(x91012,a910)),x91014),x91016))
% 207.24/207.90 [9359]E(x93591,x93592)+~P52(x93593,x93594,x93595)+~P1(f327(f327(f329(f921(x93593,x93594)),f327(f327(f252(x93593,x93594),x93596),x93592)),x93595))+~P1(f327(f327(f329(f921(x93593,x93594)),f327(f327(f252(x93593,x93594),x93596),x93591)),x93595))
% 207.24/207.90 [10139]~P72(x101391)+~E(f327(x101393,f507(x101394,x101396,x101393,x101395,x101392,x101391)),f327(x101396,f507(x101394,x101396,x101393,x101395,x101392,x101391)))+~P1(f327(f35(x101392),x101395))+E(f327(f327(f327(f65(x101391,x101392,f81(x101391)),x101393),x101394),x101395),f327(f327(f327(f65(x101391,x101392,f81(x101391)),x101396),x101394),x101395))
% 207.24/207.90 [10200]~P72(x102001)+~P1(f327(f35(x102002),x102005))+E(f327(f327(f327(f65(x102001,x102002,f81(x102001)),x102003),x102004),x102005),f327(f327(f327(f65(x102001,x102002,f81(x102001)),x102006),x102004),x102005))+P1(f327(f327(f329(x102002),f507(x102004,x102003,x102006,x102005,x102002,x102001)),x102005))
% 207.24/207.90 [8896]~P72(x88961)+~P1(f327(f35(x88962),x88966))+P1(f327(f327(f329(x88962),x88965),x88966))+E(f327(f327(f327(f65(x88961,x88962,f81(x88961)),x88963),x88964),f327(f327(f309(x88962),x88965),x88966)),f327(f327(f81(x88961),f327(x88963,x88965)),f327(f327(f327(f65(x88961,x88962,f81(x88961)),x88963),x88964),x88966)))
% 207.24/207.90 [8949]~P6(x89491,x89496,x89493)+~P9(x89491,f922(x89492,a910),x89493,x89495)+~P1(f327(f327(f329(x89491),x89494),x89496))+E(f327(f327(f40(x89491,f922(x89492,a910)),f327(f285(x89491,x89491,x89493),f327(f327(f309(x89491),x89494),f190(f922(x89491,a910))))),x89495),f327(x89495,x89494))
% 207.24/207.90 [9075]~P14(x90753,x90754,x90751)+~P1(f327(f35(x90753),x90756))+~P1(f327(f327(f329(x90753),x90752),x90756))+E(f327(f327(x90751,x90752),f327(f327(f64(x90753,x90754,x90751),x90755),f327(f327(f23(f922(x90753,a910)),x90756),f327(f327(f309(x90753),x90752),f190(f922(x90753,a910)))))),f327(f327(f64(x90753,x90754,x90751),x90755),x90756))
% 207.24/207.90 [9369]~P17(x93693,x93691,x93696,x93692)+~P1(f327(f35(x93693),x93695))+~P1(f327(f35(x93693),x93694))+E(f327(f72(x93691,x93691,x93691,f327(x93692,f327(f327(f102(f922(x93693,a910)),x93694),x93695))),f327(x93692,f327(f327(f103(f922(x93693,a910)),x93694),x93695))),f327(f72(x93691,x93691,x93691,f327(x93692,x93694)),f327(x93692,x93695)))
% 207.24/207.90 [9712]~E(x97123,f327(f327(f160(x97121,x97122),x97125),x97126))+P1(f327(f327(f329(f921(f916(x97121),f916(x97121))),f327(f327(f252(f916(x97121),f916(x97121)),x97122),x97123)),f158(x97121,x97124)))+~P1(f327(f327(f235(a915),x97125),f327(f191(f916(x97121)),x97122)))+~P1(f327(f327(f329(f921(x97121,x97121)),f327(f327(f252(x97121,x97121),f327(f327(f165(x97121),x97122),x97125)),x97126)),x97124))
% 207.24/207.90 [10216]~P68(x102162)+~P1(f327(f35(x102161),x102166))+P1(f327(f327(f329(x102161),f557(x102164,x102165,x102163,x102166,x102161,x102162)),x102166))+E(f327(f327(f6(x102161,x102162),f327(f327(f18(x102161,f922(x102163,a910),x102162),f327(f327(f8(f922(x102163,x102162),f922(f922(x102163,a910),x102162),x102161),f6(x102163,x102162)),x102164)),x102165)),x102166),f327(f327(f6(f921(x102161,x102163),x102162),f327(f257(x102161,x102163,x102162),x102164)),f327(f327(f254(x102161,x102163),x102166),x102165)))
% 207.24/207.90 [10217]~P75(x102172)+~P1(f327(f35(x102171),x102176))+P1(f327(f327(f329(x102171),f558(x102174,x102175,x102173,x102176,x102171,x102172)),x102176))+E(f327(f327(f9(x102171,x102172),f327(f327(f18(x102171,f922(x102173,a910),x102172),f327(f327(f8(f922(x102173,x102172),f922(f922(x102173,a910),x102172),x102171),f9(x102173,x102172)),x102174)),x102175)),x102176),f327(f327(f9(f921(x102171,x102173),x102172),f327(f257(x102171,x102173,x102172),x102174)),f327(f327(f254(x102171,x102173),x102176),x102175)))
% 207.24/207.90 [10257]~P68(x102572)+~P1(f327(f35(x102571),x102576))+~P1(f327(f35(x102573),f327(x102575,f557(x102574,x102575,x102573,x102576,x102571,x102572))))+E(f327(f327(f6(x102571,x102572),f327(f327(f18(x102571,f922(x102573,a910),x102572),f327(f327(f8(f922(x102573,x102572),f922(f922(x102573,a910),x102572),x102571),f6(x102573,x102572)),x102574)),x102575)),x102576),f327(f327(f6(f921(x102571,x102573),x102572),f327(f257(x102571,x102573,x102572),x102574)),f327(f327(f254(x102571,x102573),x102576),x102575)))
% 207.24/207.90 [10258]~P75(x102582)+~P1(f327(f35(x102581),x102586))+~P1(f327(f35(x102583),f327(x102585,f558(x102584,x102585,x102583,x102586,x102581,x102582))))+E(f327(f327(f9(x102581,x102582),f327(f327(f18(x102581,f922(x102583,a910),x102582),f327(f327(f8(f922(x102583,x102582),f922(f922(x102583,a910),x102582),x102581),f9(x102583,x102582)),x102584)),x102585)),x102586),f327(f327(f9(f921(x102581,x102583),x102582),f327(f257(x102581,x102583,x102582),x102584)),f327(f327(f254(x102581,x102583),x102586),x102585)))
% 207.24/207.90 [10238]~P75(x102382)+~P1(f327(f35(x102381),x102386))+P1(f327(f327(f329(x102381),x102383),x102386))+E(f327(f327(f9(x102381,x102382),f327(f327(f7(x102381,x102382,x102382),f327(f327(f18(x102381,x102382,f922(x102382,x102382)),f327(f327(f8(a910,f922(x102382,f922(x102382,x102382)),x102381),f97(x102382)),f327(f327(f7(x102381,x102381,a910),a324),x102383))),x102384)),x102385)),x102386),f327(f327(f244(x102382),x102385),f327(f36(x102381),x102386)))
% 207.24/207.90 [10243]~P75(x102432)+~P1(f327(f35(x102431),x102436))+~P1(f327(f327(f329(x102431),x102433),x102436))+E(f327(f327(f9(x102431,x102432),f327(f327(f7(x102431,x102432,x102432),f327(f327(f18(x102431,x102432,f922(x102432,x102432)),f327(f327(f8(a910,f922(x102432,f922(x102432,x102432)),x102431),f97(x102432)),f327(f327(f7(x102431,x102431,a910),a324),x102433))),x102434)),x102435)),x102436),f327(f327(f81(x102432),f327(x102434,x102433)),f327(f327(f244(x102432),x102435),f327(f327(f23(a915),f327(f36(x102431),x102436)),f78(a915)))))
% 207.24/207.90 [10322]~P1(f327(f35(x103221),x103225))+~P1(f327(f35(x103222),x103223))+P1(f327(f327(f329(x103222),f493(x103226,x103224,x103223,x103222,x103225,x103221)),x103223))+E(f327(f327(f6(x103221,a915),f327(f327(f8(f922(x103222,a910),a915,x103221),f36(x103222)),f327(f327(f8(f922(x103222,a910),f922(x103222,a910),x103221),f262(x103222)),f327(f327(f8(f922(x103222,a910),f922(x103222,a910),x103221),f327(f18(x103222,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103222),a325),f327(f327(f7(x103222,f922(x103222,a910),a910),f329(x103222)),x103223)))),x103224)))),x103225),f327(f327(f81(a915),x103226),f327(f36(x103222),x103223)))
% 207.24/207.90 [10323]~P1(f327(f35(x103231),x103235))+~P1(f327(f35(x103232),x103233))+P1(f327(f327(f329(x103232),f495(x103236,x103234,x103233,x103232,x103235,x103231)),x103233))+E(f327(f327(f6(x103231,a915),f327(f327(f8(f922(x103232,a910),a915,x103231),f36(x103232)),f327(f327(f8(f922(x103232,a910),f922(x103232,a910),x103231),f262(x103232)),f327(f327(f8(f922(x103232,a910),f922(x103232,a910),x103231),f327(f18(x103232,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103232),a325),f327(f327(f7(x103232,f922(x103232,a910),a910),f329(x103232)),x103233)))),x103234)))),x103235),f327(f327(f6(x103232,a915),x103236),x103233))
% 207.24/207.90 [10366]~P1(f327(f35(x103662),x103663))+~P1(f327(f35(x103661),x103665))+~E(f327(f36(x103661),f327(f262(x103661),f327(f327(f18(x103661,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103661),a325),f327(f327(f7(x103661,f922(x103661,a910),a910),f329(x103661)),x103665))),f327(f327(f7(x103661,x103662,a910),x103664),f493(x103666,x103664,x103663,x103662,x103665,x103661))))),x103666)+E(f327(f327(f6(x103661,a915),f327(f327(f8(f922(x103662,a910),a915,x103661),f36(x103662)),f327(f327(f8(f922(x103662,a910),f922(x103662,a910),x103661),f262(x103662)),f327(f327(f8(f922(x103662,a910),f922(x103662,a910),x103661),f327(f18(x103662,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103662),a325),f327(f327(f7(x103662,f922(x103662,a910),a910),f329(x103662)),x103663)))),x103664)))),x103665),f327(f327(f81(a915),x103666),f327(f36(x103662),x103663)))
% 207.24/207.90 [10368]~P1(f327(f35(x103682),x103683))+~P1(f327(f35(x103681),x103685))+~E(f327(f36(x103681),f327(f262(x103681),f327(f327(f18(x103681,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103681),a325),f327(f327(f7(x103681,f922(x103681,a910),a910),f329(x103681)),x103685))),f327(f327(f7(x103681,x103682,a910),x103684),f495(x103686,x103684,x103683,x103682,x103685,x103681))))),f327(x103686,f495(x103686,x103684,x103683,x103682,x103685,x103681)))+E(f327(f327(f6(x103681,a915),f327(f327(f8(f922(x103682,a910),a915,x103681),f36(x103682)),f327(f327(f8(f922(x103682,a910),f922(x103682,a910),x103681),f262(x103682)),f327(f327(f8(f922(x103682,a910),f922(x103682,a910),x103681),f327(f18(x103682,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103682),a325),f327(f327(f7(x103682,f922(x103682,a910),a910),f329(x103682)),x103683)))),x103684)))),x103685),f327(f327(f6(x103682,a915),x103686),x103683))
% 207.24/207.90 [9989]E(x99891,x99892)+~P14(x99893,x99894,x99895)+~P1(f327(f66(x99893,x99894,x99895,x99896,x99897),x99892))+~P1(f327(f66(x99893,x99894,x99895,x99896,x99897),x99891))
% 207.24/207.90 [9788]P1(f327(x97881,x97882))+~P1(f327(f327(f329(x97887),x97882),f327(x97886,x97884)))+~P1(f327(x97881,f901(x97881,x97886,x97885,x97883,x97887)))+~P1(f327(f327(f329(x97883),x97884),x97885))
% 207.24/207.90 [10230]~P14(x102307,x102306,x102301)+E(f327(f327(x102301,x102302),f553(x102302,x102303,x102304,x102305,x102301,x102306,x102307)),x102303)+~P1(f327(f66(x102307,x102306,x102301,x102305,x102304),x102303))+~P1(f327(f327(f329(x102307),x102302),x102304))
% 207.24/207.90 [10300]~P14(x103001,x103002,x103003)+~P1(f327(f66(x103001,x103002,x103003,x103004,x103005),x103007))+P1(f327(f66(x103001,x103002,x103003,x103004,f327(f327(f23(f922(x103001,a910)),x103005),f327(f327(f309(x103001),x103006),f190(f922(x103001,a910))))),f553(x103006,x103007,x103005,x103004,x103003,x103002,x103001)))+~P1(f327(f327(f329(x103001),x103006),x103005))
% 207.24/207.90 [9439]P24(x94391,x94392,x94393,x94394,x94395)+~P24(x94391,x94392,x94393,x94396,x94397)+~E(f327(f310(x94391,x94392,x94393),x94394),x94395)+~P1(f327(f327(f234(f922(x94391,a910)),x94394),x94396))
% 207.24/207.90 [9679]~P24(x96791,x96792,x96793,x96795,x96797)+~P24(x96791,x96792,x96793,x96794,x96796)+P24(x96791,x96792,x96793,f327(f327(f102(f922(x96791,a910)),x96794),x96795),f327(f327(f102(f922(x96792,a910)),x96796),x96797))+~E(f327(f327(f103(f922(x96792,a910)),x96796),x96797),f190(f922(x96792,a910)))
% 207.24/207.90 [9684]~P72(x96841)+~P23(x96845,x96842,x96846,x96847)+~P1(f327(f35(x96845),x96847))+E(f327(f327(f327(f65(x96841,x96842,f81(x96841)),x96843),x96844),f327(f310(x96845,x96842,x96846),x96847)),f327(f327(f327(f65(x96841,x96845,f81(x96841)),f327(f72(x96842,x96841,x96845,x96843),x96846)),x96844),x96847))
% 207.24/207.90 [9811]~E(f327(f327(f309(x98111),x98115),x98116),f327(f327(f309(x98111),x98112),x98113))+~P1(f327(f66(x98111,x98111,x98114,x98112,x98113),x98117))+P1(f327(f327(f329(x98111),x98112),x98113))+P1(f327(f62(x98111,x98114,f327(f327(f309(x98111),x98115),x98116)),x98117))
% 207.24/207.90 [9895]P1(f327(x98951,x98952))+~P1(f327(f327(f329(x98953),x98952),f327(x98954,x98957)))+~P1(f327(f327(f329(x98956),x98957),x98955))+P1(f327(f327(f329(x98953),f901(x98951,x98954,x98955,x98956,x98953)),f327(f327(f40(x98956,f922(x98953,a910)),x98955),x98954)))
% 207.24/207.90 [9913]~P23(x99132,x99131,x99135,x99134)+~P23(x99131,x99133,x99136,f327(f310(x99132,x99131,x99135),x99134))+E(f327(f327(f72(x99131,x99132,x99133,f77(x99132,x99131,x99134,x99135)),f77(x99131,x99133,f327(f310(x99132,x99131,x99135),x99134),x99136)),x99137),f327(f77(x99132,x99133,x99134,f327(f72(x99131,x99133,x99132,x99136),x99135)),x99137))+~P1(f327(f327(f329(x99133),x99137),f327(f310(x99131,x99133,x99136),f327(f310(x99132,x99131,x99135),x99134))))
% 207.24/207.90 [9914]~P23(x99142,x99141,x99145,x99144)+~P23(x99141,x99143,x99146,f327(f310(x99142,x99141,x99145),x99144))+E(f327(f327(f72(x99141,x99142,x99143,f92(x99142,x99141,x99144,x99145)),f92(x99141,x99143,f327(f310(x99142,x99141,x99145),x99144),x99146)),x99147),f327(f92(x99142,x99143,x99144,f327(f72(x99141,x99143,x99142,x99146),x99145)),x99147))+~P1(f327(f327(f329(x99143),x99147),f327(f310(x99141,x99143,x99146),f327(f310(x99142,x99141,x99145),x99144))))
% 207.24/207.90 [10231]~P14(x102317,x102316,x102311)+E(f327(f327(x102311,x102312),f614(x102313,x102314,x102312,x102315,x102311,x102316,x102317)),x102313)+P1(f327(f327(f329(x102317),x102312),x102314))+~P1(f327(f66(x102317,x102316,x102311,x102315,f327(f327(f309(x102317),x102312),x102314)),x102313))
% 207.24/207.90 [10299]~P14(x102991,x102994,x102995)+P1(f327(f66(x102991,x102994,x102995,x102996,x102993),f614(x102997,x102993,x102992,x102996,x102995,x102994,x102991)))+P1(f327(f327(f329(x102991),x102992),x102993))+~P1(f327(f66(x102991,x102994,x102995,x102996,f327(f327(f309(x102991),x102992),x102993)),x102997))
% 207.24/207.90 [9971]E(x99711,f2(a1))+~P1(f327(f50(x99713,x99711),f327(f327(f252(a1,a1),x99715),x99717)))+~P1(f327(f50(x99712,x99711),f327(f327(f252(a1,a1),x99714),x99716)))+P1(f327(f50(f327(f327(f80(a1),x99712),x99713),x99711),f327(f327(f252(a1,a1),f327(f327(f80(a1),f327(f327(f80(a1),x99714),x99715)),f327(f327(f37(a1),f327(f327(f80(a1),x99716),x99717)),x99711))),f46(a1,f327(f327(f80(a1),x99716),x99717),x99711))))
% 207.24/207.90 [9973]~P1(f327(f327(f235(a915),f2(a915)),x99733))+~P1(f327(f49(x99732,x99733),f327(f327(f252(a915,a915),x99735),x99737)))+~P1(f327(f49(x99731,x99733),f327(f327(f252(a915,a915),x99734),x99736)))+P1(f327(f49(f327(f327(f80(a915),x99731),x99732),x99733),f327(f327(f252(a915,a915),f327(f327(f80(a915),f327(f327(f80(a915),x99734),x99735)),f327(f327(f37(a915),f327(f327(f80(a915),x99736),x99737)),x99733))),f46(a915,f327(f327(f80(a915),x99736),x99737),x99733))))
% 207.24/207.90 [10365]~P68(x103652)+~P1(f327(f35(x103653),x103655))+~P1(f327(f35(x103651),x103657))+E(f327(f327(f6(x103651,x103652),f327(f327(f18(x103651,f922(x103653,a910),x103652),f327(f327(f8(f922(x103653,x103652),f922(f922(x103653,a910),x103652),x103651),f6(x103653,x103652)),x103654)),f327(f327(f8(f922(x103653,a910),f922(x103653,a910),x103651),f262(x103653)),f327(f327(f8(f922(x103653,a910),f922(x103653,a910),x103651),f327(f18(x103653,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103653),a325),f327(f327(f7(x103653,f922(x103653,a910),a910),f329(x103653)),x103655)))),x103656)))),x103657),f327(f327(f6(x103653,x103652),f327(f327(f18(x103653,f922(x103651,a910),x103652),f327(f327(f8(f922(x103651,x103652),f922(f922(x103651,a910),x103652),x103653),f6(x103651,x103652)),f327(f7(x103651,x103653,x103652),x103654))),f327(f327(f8(f922(x103651,a910),f922(x103651,a910),x103653),f262(x103651)),f327(f327(f8(f922(x103651,a910),f922(x103651,a910),x103653),f327(f18(x103651,a910,a910),f327(f327(f8(a910,f922(a910,a910),x103651),a325),f327(f327(f7(x103651,f922(x103651,a910),a910),f329(x103651)),x103657)))),f327(f7(x103651,x103653,a910),x103656))))),x103655))
% 207.24/207.90 [10320]~P19(x103208,x103207,x103206,x103205,x103201)+~E(f327(x103202,f853(x103204,x103202,x103203,x103201,x103205,x103206,x103207)),f327(x103204,f853(x103204,x103202,x103203,x103201,x103205,x103206,x103207)))+E(f327(f327(x103201,x103202),x103203),f327(f327(x103201,x103204),x103203))+~P1(f327(f35(x103207),x103203))
% 207.24/207.90 [9847]~P20(x98477,x98476,x98471,x98478,x98472,x98474)+E(f327(f327(x98471,f327(x98472,x98473)),f327(x98474,x98475)),f327(x98474,x98475))+~P1(f327(f35(x98476),x98475))+~P1(f327(f327(f329(x98476),x98473),x98475))
% 207.24/207.90 [9851]~P10(x98516,x98511,x98512,x98518,x98513,x98514)+~P6(x98516,x98517,x98518)+P9(x98511,x98512,x98513,f327(x98514,x98515))+~P1(f327(f327(f329(x98516),x98515),x98517))
% 207.24/207.90 [10338]~P19(x103388,x103385,x103387,x103386,x103381)+E(f327(f327(x103381,x103382),x103383),f327(f327(x103381,x103384),x103383))+~P1(f327(f35(x103385),x103383))+P1(f327(f327(f329(x103385),f853(x103382,x103384,x103383,x103381,x103386,x103387,x103385)),x103383))
% 207.24/207.90 [10417]~P1(f327(f327(x104171,x104176),x104175))+P1(f327(f327(x104171,f835(x104171,x104174,x104175,x104176,x104173,x104172,x104177,x104178)),f846(x104171,x104174,x104175,x104176,x104173,x104172,x104177,x104178)))+P1(f327(f327(x104171,x104172),x104173))+~P1(f327(f327(f329(f921(f921(x104178,x104177),f921(x104178,x104177))),f327(f327(f252(f921(x104178,x104177),f921(x104178,x104177)),f327(f327(f252(x104178,x104177),x104172),x104173)),f327(f327(f252(x104178,x104177),x104176),x104175))),f307(f921(x104178,x104177),x104174)))
% 207.24/207.90 [10418]~P1(f327(f327(x104181,x104186),x104185))+P1(f327(f327(x104181,f836(x104181,x104184,x104183,x104182,x104185,x104186,x104187,x104188)),f837(x104181,x104184,x104183,x104182,x104185,x104186,x104187,x104188)))+P1(f327(f327(x104181,x104182),x104183))+~P1(f327(f327(f329(f921(f921(x104188,x104187),f921(x104188,x104187))),f327(f327(f252(f921(x104188,x104187),f921(x104188,x104187)),f327(f327(f252(x104188,x104187),x104186),x104185)),f327(f327(f252(x104188,x104187),x104182),x104183))),f307(f921(x104188,x104187),x104184)))
% 207.24/207.90 [10428]~P1(f327(f327(x104281,f838(x104281,x104286,x104285,x104284,x104283,x104282,x104287,x104288)),f843(x104281,x104286,x104285,x104284,x104283,x104282,x104287,x104288)))+P1(f327(f327(x104281,x104282),x104283))+~P1(f327(f327(x104281,x104284),x104285))+~P1(f327(f327(f329(f921(f921(x104288,x104287),f921(x104288,x104287))),f327(f327(f252(f921(x104288,x104287),f921(x104288,x104287)),f327(f327(f252(x104288,x104287),x104282),x104283)),f327(f327(f252(x104288,x104287),x104284),x104285))),f307(f921(x104288,x104287),x104286)))
% 207.24/207.90 [10429]~P1(f327(f327(x104291,f839(x104291,x104296,x104293,x104292,x104295,x104294,x104297,x104298)),f840(x104291,x104296,x104293,x104292,x104295,x104294,x104297,x104298)))+P1(f327(f327(x104291,x104292),x104293))+~P1(f327(f327(x104291,x104294),x104295))+~P1(f327(f327(f329(f921(f921(x104298,x104297),f921(x104298,x104297))),f327(f327(f252(f921(x104298,x104297),f921(x104298,x104297)),f327(f327(f252(x104298,x104297),x104294),x104295)),f327(f327(f252(x104298,x104297),x104292),x104293))),f307(f921(x104298,x104297),x104296)))
% 207.24/207.90 [10442]~P1(f327(f327(x104421,x104426),x104427))+P1(f327(f327(x104421,x104422),x104423))+P1(f327(f327(f329(f921(f921(x104424,x104425),f921(x104424,x104425))),f327(f327(f252(f921(x104424,x104425),f921(x104424,x104425)),f327(f327(f252(x104424,x104425),x104426),x104427)),f327(f327(f252(x104424,x104425),f836(x104421,x104428,x104423,x104422,x104427,x104426,x104425,x104424)),f837(x104421,x104428,x104423,x104422,x104427,x104426,x104425,x104424)))),f307(f921(x104424,x104425),x104428)))+~P1(f327(f327(f329(f921(f921(x104424,x104425),f921(x104424,x104425))),f327(f327(f252(f921(x104424,x104425),f921(x104424,x104425)),f327(f327(f252(x104424,x104425),x104426),x104427)),f327(f327(f252(x104424,x104425),x104422),x104423))),f307(f921(x104424,x104425),x104428)))
% 207.24/207.90 [10444]~P1(f327(f327(x104441,x104448),x104447))+P1(f327(f327(x104441,x104442),x104443))+P1(f327(f327(f329(f921(f921(x104444,x104445),f921(x104444,x104445))),f327(f327(f252(f921(x104444,x104445),f921(x104444,x104445)),f327(f327(f252(x104444,x104445),f835(x104441,x104446,x104447,x104448,x104443,x104442,x104445,x104444)),f846(x104441,x104446,x104447,x104448,x104443,x104442,x104445,x104444))),f327(f327(f252(x104444,x104445),x104448),x104447))),f307(f921(x104444,x104445),x104446)))+~P1(f327(f327(f329(f921(f921(x104444,x104445),f921(x104444,x104445))),f327(f327(f252(f921(x104444,x104445),f921(x104444,x104445)),f327(f327(f252(x104444,x104445),x104442),x104443)),f327(f327(f252(x104444,x104445),x104448),x104447))),f307(f921(x104444,x104445),x104446)))
% 207.24/207.90 [9464]~P17(x94647,x94641,x94648,x94643)+~P1(f327(f35(x94647),x94645))+~P1(f327(f35(x94647),x94644))+E(f327(f72(x94641,x94641,x94642,f327(x94643,x94644)),f327(f72(x94641,x94641,x94642,f327(x94643,x94645)),x94646)),f327(f72(x94641,x94641,x94642,f327(x94643,x94645)),f327(f72(x94641,x94641,x94642,f327(x94643,x94644)),x94646)))
% 207.24/207.90 [9473]~P32(x94731,x94732,x94733,x94734,x94737)+P32(x94731,x94732,x94733,f327(f327(f160(x94731,x94734),x94735),x94736),f327(f327(f160(x94732,x94737),x94735),x94738))+~P1(f327(f327(x94733,x94736),x94738))+~P1(f327(f327(f235(a915),x94735),f327(f191(f916(x94731)),x94734)))
% 207.24/207.90 [9474]~P32(x94741,x94742,x94743,x94744,x94747)+P32(x94741,x94742,x94743,f327(f327(f160(x94741,x94744),x94745),x94746),f327(f327(f160(x94742,x94747),x94745),x94748))+~P1(f327(f327(x94743,x94746),x94748))+~P1(f327(f327(f235(a915),x94745),f327(f191(f916(x94742)),x94747)))
% 207.24/207.90 [9553]~P23(x95532,x95532,x95535,x95536)+~P19(x95533,x95532,x95537,x95538,x95531)+~P1(f327(f35(x95532),x95536))+E(f327(f327(x95531,f327(f72(x95532,x95533,x95532,x95534),x95535)),x95536),f327(f327(x95531,x95534),f327(f310(x95532,x95532,x95535),x95536)))
% 207.24/207.90 [9812]P24(x98121,x98122,x98123,x98124,x98125)+~P24(x98122,x98126,x98127,x98125,x98128)+~P24(x98121,x98126,f327(f72(x98122,x98126,x98121,x98127),x98123),x98124,x98128)+~P1(f327(f327(f234(f922(x98122,a910)),f327(f310(x98121,x98122,x98123),x98124)),x98125))
% 207.24/207.90 [9849]~P21(x98497,x98492,x98495,x98498,x98496,x98491)+~P1(f327(f35(x98492),x98494))+E(f327(x98491,f327(f327(f309(x98492),x98493),x98494)),f327(f327(x98495,f327(x98496,x98493)),f327(x98491,x98494)))+P1(f327(f327(f329(x98492),x98493),x98494))
% 207.24/207.90 [9860]~P20(x98606,x98605,x98601,x98607,x98608,x98602)+E(f327(f327(x98601,f327(x98602,x98603)),f327(x98602,x98604)),f327(x98602,x98604))+~P1(f327(f35(x98605),x98604))+~P1(f327(f327(f234(f922(x98605,a910)),x98603),x98604))
% 207.24/207.90 [9451]P1(f327(f327(f329(f921(f916(x94511),f916(x94511))),f327(f327(f252(f916(x94511),f916(x94511)),x94512),x94513)),f158(x94511,x94514)))+~E(x94513,f327(f327(f135(x94511),x94515),f327(f327(f152(x94511),x94516),x94517)))+~E(x94512,f327(f327(f135(x94511),x94515),f327(f327(f152(x94511),x94518),x94517)))+~P1(f327(f327(f329(f921(x94511,x94511)),f327(f327(f252(x94511,x94511),x94518),x94516)),x94514))
% 207.24/207.90 [9854]~P20(x98546,x98542,x98545,x98547,x98548,x98541)+~P1(f327(f35(x98542),x98544))+~P1(f327(f35(x98542),x98543))+E(f327(x98541,f327(f327(f102(f922(x98542,a910)),x98543),x98544)),f327(f327(x98545,f327(x98541,x98543)),f327(x98541,x98544)))
% 207.24/207.90 [10407]~P23(x104074,x104072,x104075,x104078)+E(f327(f327(f41(x104071,f922(x104072,a910)),x104073),f327(f327(f8(f922(x104074,a910),f922(x104072,a910),x104071),f310(x104074,x104072,x104075)),x104076)),f327(f310(x104074,x104072,x104075),f327(f327(f41(x104071,f922(x104074,a910)),x104073),x104076)))+~P1(f327(f327(f329(x104071),x104077),x104073))+P1(f327(f327(f329(x104071),f399(x104077,x104076,x104073,x104071,x104078,x104075,x104072,x104074)),x104073))
% 207.24/207.90 [10433]~P23(x104334,x104332,x104335,x104337)+E(f327(f327(f41(x104331,f922(x104332,a910)),x104333),f327(f327(f8(f922(x104334,a910),f922(x104332,a910),x104331),f310(x104334,x104332,x104335)),x104336)),f327(f310(x104334,x104332,x104335),f327(f327(f41(x104331,f922(x104334,a910)),x104333),x104336)))+~P1(f327(f327(f329(x104331),x104338),x104333))+~P1(f327(f327(f234(f922(x104334,a910)),f327(x104336,f399(x104338,x104336,x104333,x104331,x104337,x104335,x104332,x104334))),x104337))
% 207.24/207.90 [10445]~P1(f327(f327(x104451,x104458),x104457))+P1(f327(f327(x104451,x104452),x104453))+~P1(f327(f327(f329(f921(f921(x104454,x104455),f921(x104454,x104455))),f327(f327(f252(f921(x104454,x104455),f921(x104454,x104455)),f327(f327(f252(x104454,x104455),x104452),x104453)),f327(f327(f252(x104454,x104455),x104458),x104457))),f307(f921(x104454,x104455),x104456)))+P1(f327(f327(f329(f921(f921(x104454,x104455),f921(x104454,x104455))),f327(f327(f252(f921(x104454,x104455),f921(x104454,x104455)),f327(f327(f252(x104454,x104455),f838(x104451,x104456,x104457,x104458,x104453,x104452,x104455,x104454)),f843(x104451,x104456,x104457,x104458,x104453,x104452,x104455,x104454))),f327(f327(f252(x104454,x104455),f835(x104451,x104456,x104457,x104458,x104453,x104452,x104455,x104454)),f846(x104451,x104456,x104457,x104458,x104453,x104452,x104455,x104454)))),x104456))
% 207.24/207.90 [10446]~P1(f327(f327(x104461,x104468),x104467))+P1(f327(f327(x104461,x104462),x104463))+~P1(f327(f327(f329(f921(f921(x104464,x104465),f921(x104464,x104465))),f327(f327(f252(f921(x104464,x104465),f921(x104464,x104465)),f327(f327(f252(x104464,x104465),x104468),x104467)),f327(f327(f252(x104464,x104465),x104462),x104463))),f307(f921(x104464,x104465),x104466)))+P1(f327(f327(f329(f921(f921(x104464,x104465),f921(x104464,x104465))),f327(f327(f252(f921(x104464,x104465),f921(x104464,x104465)),f327(f327(f252(x104464,x104465),f836(x104461,x104466,x104463,x104462,x104467,x104468,x104465,x104464)),f837(x104461,x104466,x104463,x104462,x104467,x104468,x104465,x104464))),f327(f327(f252(x104464,x104465),f839(x104461,x104466,x104463,x104462,x104467,x104468,x104465,x104464)),f840(x104461,x104466,x104463,x104462,x104467,x104468,x104465,x104464)))),x104466))
% 207.24/207.90 [9923]~P21(x99237,x99235,x99231,x99238,x99232,x99234)+~P1(f327(f35(x99235),x99236))+~P1(f327(f327(f329(x99235),x99233),x99236))+E(f327(f327(x99231,f327(x99232,x99233)),f327(x99234,f327(f327(f23(f922(x99235,a910)),x99236),f327(f327(f309(x99235),x99233),f190(f922(x99235,a910)))))),f327(x99234,x99236))
% 207.24/207.90 [9931]~P21(x99316,x99313,x99311,x99317,x99318,x99312)+~P1(f327(f35(x99313),x99315))+~P1(f327(f35(x99313),x99314))+E(f327(f327(x99311,f327(x99312,f327(f327(f102(f922(x99313,a910)),x99314),x99315))),f327(x99312,f327(f327(f103(f922(x99313,a910)),x99314),x99315))),f327(f327(x99311,f327(x99312,x99314)),f327(x99312,x99315)))
% 207.24/207.90 [10014]P40(x100141,x100142,x100143,x100144,x100145,f327(f327(x100143,x100146),x100147))+~P40(x100141,x100142,x100143,x100144,f327(f327(f23(f922(x100141,a910)),x100145),f327(f327(f309(x100141),x100148),f190(f922(x100141,a910)))),x100149)+~E(f327(f327(x100143,x100146),x100147),f327(f327(x100143,x100148),x100149))+~P1(f327(f327(f329(x100141),x100148),x100145))
% 207.24/207.90 [9955]~P10(x99556,x99557,x99558,x99559,x995510,x99551)+E(f327(f327(x99551,x99552),x99553),f327(f327(x99551,x99554),x99555))+~P1(f327(f327(f329(f921(x99557,x99557)),f327(f327(f252(x99557,x99557),x99553),x99555)),x995510))+~P1(f327(f327(f329(f921(x99556,x99556)),f327(f327(f252(x99556,x99556),x99552),x99554)),x99559))
% 207.24/207.90 [9557]~P96(x95572)+E(x95571,f190(f922(x95572,a910)))+~P1(f327(f35(x95572),x95571))+P1(f327(f327(f329(x95572),f13(x95572,x95571)),x95571))+~P1(f327(f327(f329(x95572),f327(f327(f102(x95572),f890(x95571,x95572)),f891(x95571,x95572))),f327(f327(f309(x95572),f890(x95571,x95572)),f327(f327(f309(x95572),f891(x95571,x95572)),f190(f922(x95572,a910))))))
% 207.24/207.90 [9558]~P96(x95582)+E(x95581,f190(f922(x95582,a910)))+~P1(f327(f35(x95582),x95581))+P1(f327(f327(f329(x95582),f10(x95582,x95581)),x95581))+~P1(f327(f327(f329(x95582),f327(f327(f103(x95582),f354(x95581,x95582)),f357(x95581,x95582))),f327(f327(f309(x95582),f354(x95581,x95582)),f327(f327(f309(x95582),f357(x95581,x95582)),f190(f922(x95582,a910))))))
% 207.24/207.90 [9589]~P72(x95892)+E(x95891,f190(f922(x95892,a910)))+~P1(f327(f35(x95892),x95891))+P1(f327(f327(f329(x95892),f327(f63(x95892,f81(x95892)),x95891)),x95891))+~P1(f327(f327(f329(x95892),f327(f327(f81(x95892),f768(x95891,x95892)),f780(x95891,x95892))),f327(f327(f309(x95892),f768(x95891,x95892)),f327(f327(f309(x95892),f780(x95891,x95892)),f190(f922(x95892,a910))))))
% 207.24/207.90 [9594]~P108(x95942)+E(x95941,f190(f922(x95942,a910)))+~P1(f327(f35(x95942),x95941))+P1(f327(f327(f329(x95942),f11(x95942,f189(x95942),x95941)),x95941))+~P1(f327(f327(f329(x95942),f327(f327(f189(x95942),f789(x95941,x95942)),f799(x95941,x95942))),f327(f327(f309(x95942),f789(x95941,x95942)),f327(f327(f309(x95942),f799(x95941,x95942)),f190(f922(x95942,a910))))))
% 207.24/207.90 [9595]~P108(x95952)+E(x95951,f190(f922(x95952,a910)))+~P1(f327(f35(x95952),x95951))+P1(f327(f327(f329(x95952),f12(x95952,f238(x95952),x95951)),x95951))+~P1(f327(f327(f329(x95952),f327(f327(f238(x95952),f807(x95951,x95952)),f821(x95951,x95952))),f327(f327(f309(x95952),f807(x95951,x95952)),f327(f327(f309(x95952),f821(x95951,x95952)),f190(f922(x95952,a910))))))
% 207.24/207.90 [6712]~P88(x67122)+E(x67121,f2(x67122))+~E(f327(f327(f80(x67122),x67123),x67121),f2(x67122))+~P1(f327(f327(f234(x67122),f2(x67122)),x67123))+~P1(f327(f327(f234(x67122),f2(x67122)),x67121))
% 207.24/207.90 [6713]~P88(x67132)+E(x67131,f2(x67132))+~E(f327(f327(f80(x67132),x67131),x67133),f2(x67132))+~P1(f327(f327(f234(x67132),f2(x67132)),x67133))+~P1(f327(f327(f234(x67132),f2(x67132)),x67131))
% 207.24/207.90 [6909]~P1(f327(f327(f287(a915),x69092),x69091))+~P1(f327(f327(f287(a915),x69091),x69093))+P1(f327(f327(f287(a915),x69092),x69093))+P1(f327(f327(f287(a915),x69091),x69092))+P1(f327(f327(f287(a915),x69093),x69091))
% 207.24/207.90 [7080]~P1(f327(f327(f287(a915),x70801),x70803))+~P1(f327(f327(f287(a915),x70803),x70802))+~P1(f327(f327(f287(a915),x70802),x70801))+P1(f327(f327(f287(a915),x70801),x70802))+P1(f327(f327(f287(a915),x70803),x70801))
% 207.24/207.90 [7249]~P108(x72492)+~P11(x72492,x72491)+E(x72491,f114(x72492))+~P1(f327(f327(f329(x72492),x72493),f327(f173(x72492),f703(x72491,x72492))))+P1(f327(f327(f234(x72492),f722(x72491,x72492)),x72493))
% 207.24/207.90 [7420]~P108(x74201)+E(f15(x74201,x74202),x74203)+~P1(f327(f35(x74201),x74202))+~P1(f327(f327(f234(x74201),x74203),f653(x74203,x74202,x74201)))+~P1(f327(f327(f329(x74201),x74203),x74202))
% 207.24/207.90 [7453]~P108(x74531)+~P11(x74531,x74532)+~P11(x74531,x74533)+P11(x74531,f327(f327(f135(x74531),x74532),x74533))+P1(f327(f327(f329(x74531),f709(x74533,x74532,x74531)),f327(f173(x74531),x74532)))
% 207.24/207.90 [7454]~P108(x74541)+~P11(x74541,x74542)+~P11(x74541,x74543)+P11(x74541,f327(f327(f135(x74541),x74542),x74543))+P1(f327(f327(f329(x74541),f710(x74543,x74542,x74541)),f327(f173(x74541),x74543)))
% 207.24/207.90 [7516]~P108(x75161)+E(f14(x75161,x75162),x75163)+~P1(f327(f35(x75161),x75162))+P1(f327(f327(f329(x75161),f663(x75163,x75162,x75161)),x75162))+~P1(f327(f327(f329(x75161),x75163),x75162))
% 207.24/207.90 [7517]~P108(x75171)+E(f15(x75171,x75172),x75173)+~P1(f327(f35(x75171),x75172))+P1(f327(f327(f329(x75171),f653(x75173,x75172,x75171)),x75172))+~P1(f327(f327(f329(x75171),x75173),x75172))
% 207.24/207.90 [8083]~P108(x80831)+E(f14(x80831,x80832),x80833)+~P1(f327(f35(x80831),x80832))+~P1(f327(f327(f329(x80831),x80833),x80832))+~P1(f327(f327(f234(x80831),f663(x80833,x80832,x80831)),x80833))
% 207.24/207.90 [8401]~P108(x84011)+~P11(x84011,x84012)+~P11(x84011,x84013)+P11(x84011,f327(f327(f135(x84011),x84012),x84013))+~P1(f327(f327(f234(x84011),f709(x84013,x84012,x84011)),f710(x84013,x84012,x84011)))
% 207.24/207.90 [9195]~P108(x91952)+E(x91951,f190(f922(x91952,a910)))+~E(f327(f327(f189(x91952),f327(x91953,f862(x91951,x91953,x91952))),f327(x91953,f864(x91951,x91953,x91952))),f327(x91953,f327(f327(f189(x91952),f862(x91951,x91953,x91952)),f864(x91951,x91953,x91952))))+E(f14(x91952,f327(f310(x91952,x91952,x91953),x91951)),f327(x91953,f14(x91952,x91951)))+~P1(f327(f35(x91952),x91951))
% 207.24/207.90 [9196]~P108(x91962)+E(x91961,f190(f922(x91962,a910)))+~E(f327(f327(f238(x91962),f327(x91963,f865(x91961,x91963,x91962))),f327(x91963,f867(x91961,x91963,x91962))),f327(x91963,f327(f327(f238(x91962),f865(x91961,x91963,x91962)),f867(x91961,x91963,x91962))))+E(f15(x91962,f327(f310(x91962,x91962,x91963),x91961)),f327(x91963,f15(x91962,x91961)))+~P1(f327(f35(x91962),x91961))
% 207.24/207.90 [9197]~P96(x91972)+E(x91971,f190(f922(x91972,a910)))+~E(f327(f327(f102(x91972),f327(x91973,f889(x91971,x91973,x91972))),f327(x91973,f892(x91971,x91973,x91972))),f327(x91973,f327(f327(f102(x91972),f889(x91971,x91973,x91972)),f892(x91971,x91973,x91972))))+E(f13(x91972,f327(f310(x91972,x91972,x91973),x91971)),f327(x91973,f13(x91972,x91971)))+~P1(f327(f35(x91972),x91971))
% 207.24/207.90 [9198]~P96(x91982)+E(x91981,f190(f922(x91982,a910)))+~E(f327(f327(f103(x91982),f327(x91983,f353(x91981,x91983,x91982))),f327(x91983,f358(x91981,x91983,x91982))),f327(x91983,f327(f327(f103(x91982),f353(x91981,x91983,x91982)),f358(x91981,x91983,x91982))))+E(f10(x91982,f327(f310(x91982,x91982,x91983),x91981)),f327(x91983,f10(x91982,x91981)))+~P1(f327(f35(x91982),x91981))
% 207.24/207.90 [9266]~P108(x92662)+E(x92661,f190(f922(x92662,a910)))+~E(f327(f327(f189(x92662),f327(x92663,f829(x92661,x92663,x92662))),f327(x92663,f833(x92661,x92663,x92662))),f327(x92663,f327(f327(f189(x92662),f829(x92661,x92663,x92662)),f833(x92661,x92663,x92662))))+E(f11(x92662,f189(x92662),f327(f310(x92662,x92662,x92663),x92661)),f327(x92663,f11(x92662,f189(x92662),x92661)))+~P1(f327(f35(x92662),x92661))
% 207.24/207.90 [9267]~P108(x92672)+E(x92671,f190(f922(x92672,a910)))+~E(f327(f327(f238(x92672),f327(x92673,f855(x92671,x92673,x92672))),f327(x92673,f863(x92671,x92673,x92672))),f327(x92673,f327(f327(f238(x92672),f855(x92671,x92673,x92672)),f863(x92671,x92673,x92672))))+E(f12(x92672,f238(x92672),f327(f310(x92672,x92672,x92673),x92671)),f327(x92673,f12(x92672,f238(x92672),x92671)))+~P1(f327(f35(x92672),x92671))
% 207.24/207.90 [6729]~P72(x67292)+E(x67291,f190(f922(x67292,a910)))+~P1(f327(f35(x67292),x67291))+E(f327(f63(x67292,f81(x67292)),f327(f327(f309(x67292),x67293),x67291)),f327(f327(f81(x67292),x67293),f327(f63(x67292,f81(x67292)),x67291)))+P1(f327(f327(f329(x67292),x67293),x67291))
% 207.24/207.90 [7255]~P108(x72552)+E(f327(f327(f238(x72552),f15(x72552,x72551)),f15(x72552,x72553)),f15(x72552,x72553))+E(x72551,f190(f922(x72552,a910)))+~P1(f327(f35(x72552),x72553))+~P1(f327(f327(f234(f922(x72552,a910)),x72551),x72553))
% 207.24/207.90 [7256]~P108(x72562)+E(f327(f327(f189(x72562),f14(x72562,x72561)),f14(x72562,x72563)),f14(x72562,x72563))+E(x72561,f190(f922(x72562,a910)))+~P1(f327(f35(x72562),x72563))+~P1(f327(f327(f234(f922(x72562,a910)),x72561),x72563))
% 207.24/207.90 [7257]~P96(x72572)+E(f327(f327(f102(x72572),f13(x72572,x72571)),f13(x72572,x72573)),f13(x72572,x72573))+E(x72571,f190(f922(x72572,a910)))+~P1(f327(f35(x72572),x72573))+~P1(f327(f327(f234(f922(x72572,a910)),x72571),x72573))
% 207.24/207.90 [7258]~P96(x72582)+E(f327(f327(f103(x72582),f10(x72582,x72581)),f10(x72582,x72583)),f10(x72582,x72583))+E(x72581,f190(f922(x72582,a910)))+~P1(f327(f35(x72582),x72583))+~P1(f327(f327(f234(f922(x72582,a910)),x72581),x72583))
% 207.24/207.90 [7563]~P108(x75632)+E(x75631,f190(f922(x75632,a910)))+~P1(f327(f35(x75632),x75633))+P1(f327(f327(f234(x75632),f14(x75632,x75631)),f14(x75632,x75633)))+~P1(f327(f327(f234(f922(x75632,a910)),x75631),x75633))
% 207.24/207.90 [7564]~P108(x75642)+E(x75641,f190(f922(x75642,a910)))+~P1(f327(f35(x75642),x75643))+P1(f327(f327(f234(x75642),f15(x75642,x75643)),f15(x75642,x75641)))+~P1(f327(f327(f234(f922(x75642,a910)),x75641),x75643))
% 207.24/207.90 [7617]~P108(x76171)+E(f14(x76171,x76172),x76173)+~P1(f327(f35(x76171),x76172))+~E(f327(f327(f23(f922(x76171,a910)),x76172),f327(f327(f309(x76171),x76173),f190(f922(x76171,a910)))),f190(f922(x76171,a910)))+~P1(f327(f327(f329(x76171),x76173),x76172))
% 207.24/207.90 [7618]~P108(x76181)+E(f15(x76181,x76182),x76183)+~P1(f327(f35(x76181),x76182))+~E(f327(f327(f23(f922(x76181,a910)),x76182),f327(f327(f309(x76181),x76183),f190(f922(x76181,a910)))),f190(f922(x76181,a910)))+~P1(f327(f327(f329(x76181),x76183),x76182))
% 207.24/207.90 [7619]~P96(x76191)+E(f13(x76191,x76192),x76193)+~P1(f327(f35(x76191),x76192))+~E(f327(f327(f23(f922(x76191,a910)),x76192),f327(f327(f309(x76191),x76193),f190(f922(x76191,a910)))),f190(f922(x76191,a910)))+~P1(f327(f327(f329(x76191),x76193),x76192))
% 207.24/207.90 [7620]~P96(x76201)+E(f10(x76201,x76202),x76203)+~P1(f327(f35(x76201),x76202))+~E(f327(f327(f23(f922(x76201,a910)),x76202),f327(f327(f309(x76201),x76203),f190(f922(x76201,a910)))),f190(f922(x76201,a910)))+~P1(f327(f327(f329(x76201),x76203),x76202))
% 207.24/207.90 [7714]~P108(x77141)+E(f11(x77141,f189(x77141),x77142),x77143)+~P1(f327(f35(x77141),x77142))+~E(f327(f327(f23(f922(x77141,a910)),x77142),f327(f327(f309(x77141),x77143),f190(f922(x77141,a910)))),f190(f922(x77141,a910)))+~P1(f327(f327(f329(x77141),x77143),x77142))
% 207.24/207.90 [7715]~P108(x77151)+E(f12(x77151,f238(x77151),x77152),x77153)+~P1(f327(f35(x77151),x77152))+~E(f327(f327(f23(f922(x77151,a910)),x77152),f327(f327(f309(x77151),x77153),f190(f922(x77151,a910)))),f190(f922(x77151,a910)))+~P1(f327(f327(f329(x77151),x77153),x77152))
% 207.24/207.90 [7750]~P108(x77502)+E(x77501,f190(f922(x77502,a910)))+~P1(f327(f35(x77502),x77501))+~P1(f327(f327(f234(x77502),x77503),f689(x77503,x77501,x77502)))+P1(f327(f327(f234(x77502),x77503),f327(f63(x77502,f238(x77502)),x77501)))
% 207.24/207.90 [7751]~P102(x77512)+E(x77511,f190(f922(x77512,a910)))+~P1(f327(f35(x77512),x77511))+~P1(f327(f327(f234(x77512),x77513),f898(x77513,x77511,x77512)))+P1(f327(f327(f234(x77512),x77513),f327(f63(x77512,f103(x77512)),x77511)))
% 207.24/207.90 [7752]~P108(x77522)+E(x77521,f190(f922(x77522,a910)))+~P1(f327(f35(x77522),x77521))+~P1(f327(f327(f235(x77522),x77523),f711(x77523,x77521,x77522)))+P1(f327(f327(f235(x77522),x77523),f327(f63(x77522,f238(x77522)),x77521)))
% 207.24/207.90 [7839]~P108(x78392)+E(x78391,f190(f922(x78392,a910)))+~P1(f327(f35(x78392),x78391))+P1(f327(f327(f329(x78392),f689(x78393,x78391,x78392)),x78391))+P1(f327(f327(f234(x78392),x78393),f327(f63(x78392,f238(x78392)),x78391)))
% 207.24/207.90 [7840]~P108(x78402)+E(x78401,f190(f922(x78402,a910)))+~P1(f327(f35(x78402),x78401))+P1(f327(f327(f329(x78402),f711(x78403,x78401,x78402)),x78401))+P1(f327(f327(f235(x78402),x78403),f327(f63(x78402,f238(x78402)),x78401)))
% 207.24/207.90 [7841]~P102(x78412)+E(x78411,f190(f922(x78412,a910)))+~P1(f327(f35(x78412),x78411))+P1(f327(f327(f329(x78412),f898(x78413,x78411,x78412)),x78411))+P1(f327(f327(f234(x78412),x78413),f327(f63(x78412,f103(x78412)),x78411)))
% 207.24/207.90 [7961]~P108(x79612)+E(x79611,f190(f922(x79612,a910)))+E(f327(f327(f238(x79612),f12(x79612,f238(x79612),x79611)),f12(x79612,f238(x79612),x79613)),f12(x79612,f238(x79612),x79613))+~P1(f327(f35(x79612),x79613))+~P1(f327(f327(f234(f922(x79612,a910)),x79611),x79613))
% 207.24/207.90 [7962]~P108(x79622)+E(x79621,f190(f922(x79622,a910)))+E(f327(f327(f189(x79622),f11(x79622,f189(x79622),x79621)),f11(x79622,f189(x79622),x79623)),f11(x79622,f189(x79622),x79623))+~P1(f327(f35(x79622),x79623))+~P1(f327(f327(f234(f922(x79622,a910)),x79621),x79623))
% 207.24/207.90 [8160]~E(f478(x81601,x81603,x81602),f479(x81601,x81603,x81602))+~E(f327(f36(x81602),f480(x81601,x81603,x81602)),x81601)+E(f327(f327(f81(a915),x81601),f327(f36(f922(x81602,a910)),x81603)),f327(f36(x81602),f38(f922(x81602,a910),x81603)))+~P1(f327(f35(x81602),f38(f922(x81602,a910),x81603)))+~P1(f327(f35(f922(x81602,a910)),x81603))
% 207.24/207.90 [8341]~P108(x83412)+E(x83411,f190(f922(x83412,a910)))+~P1(f327(f35(x83412),x83413))+P1(f327(f327(f234(x83412),f327(f63(x83412,f238(x83412)),x83413)),f327(f63(x83412,f238(x83412)),x83411)))+~P1(f327(f327(f234(f922(x83412,a910)),x83411),x83413))
% 207.24/207.90 [8639]~E(f478(x86391,x86393,x86392),f479(x86391,x86393,x86392))+E(f327(f327(f81(a915),x86391),f327(f36(f922(x86392,a910)),x86393)),f327(f36(x86392),f38(f922(x86392,a910),x86393)))+P1(f327(f327(f329(f922(x86392,a910)),f480(x86391,x86393,x86392)),x86393))+~P1(f327(f35(x86392),f38(f922(x86392,a910),x86393)))+~P1(f327(f35(f922(x86392,a910)),x86393))
% 207.24/207.90 [8665]~E(f327(f36(x86652),f480(x86651,x86653,x86652)),x86651)+E(f327(f327(f81(a915),x86651),f327(f36(f922(x86652,a910)),x86653)),f327(f36(x86652),f38(f922(x86652,a910),x86653)))+P1(f327(f327(f329(f922(x86652,a910)),f479(x86651,x86653,x86652)),x86653))+~P1(f327(f35(x86652),f38(f922(x86652,a910),x86653)))+~P1(f327(f35(f922(x86652,a910)),x86653))
% 207.24/207.90 [8666]~E(f327(f36(x86662),f480(x86661,x86663,x86662)),x86661)+E(f327(f327(f81(a915),x86661),f327(f36(f922(x86662,a910)),x86663)),f327(f36(x86662),f38(f922(x86662,a910),x86663)))+P1(f327(f327(f329(f922(x86662,a910)),f478(x86661,x86663,x86662)),x86663))+~P1(f327(f35(x86662),f38(f922(x86662,a910),x86663)))+~P1(f327(f35(f922(x86662,a910)),x86663))
% 207.24/207.90 [8691]~E(f327(f36(x86912),f480(x86911,x86913,x86912)),x86911)+~E(f327(f327(f103(f922(x86912,a910)),f479(x86911,x86913,x86912)),f478(x86911,x86913,x86912)),f190(f922(x86912,a910)))+E(f327(f327(f81(a915),x86911),f327(f36(f922(x86912,a910)),x86913)),f327(f36(x86912),f38(f922(x86912,a910),x86913)))+~P1(f327(f35(f922(x86912,a910)),x86913))+~P1(f327(f35(x86912),f38(f922(x86912,a910),x86913)))
% 207.24/207.90 [8955]E(f327(f327(f81(a915),x89551),f327(f36(f922(x89552,a910)),x89553)),f327(f36(x89552),f38(f922(x89552,a910),x89553)))+P1(f327(f327(f329(f922(x89552,a910)),f480(x89551,x89553,x89552)),x89553))+P1(f327(f327(f329(f922(x89552,a910)),f479(x89551,x89553,x89552)),x89553))+~P1(f327(f35(f922(x89552,a910)),x89553))+~P1(f327(f35(x89552),f38(f922(x89552,a910),x89553)))
% 207.24/207.90 [8956]E(f327(f327(f81(a915),x89561),f327(f36(f922(x89562,a910)),x89563)),f327(f36(x89562),f38(f922(x89562,a910),x89563)))+P1(f327(f327(f329(f922(x89562,a910)),f480(x89561,x89563,x89562)),x89563))+P1(f327(f327(f329(f922(x89562,a910)),f478(x89561,x89563,x89562)),x89563))+~P1(f327(f35(f922(x89562,a910)),x89563))+~P1(f327(f35(x89562),f38(f922(x89562,a910),x89563)))
% 207.24/207.90 [8982]~E(f327(f327(f103(f922(x89822,a910)),f479(x89821,x89823,x89822)),f478(x89821,x89823,x89822)),f190(f922(x89822,a910)))+E(f327(f327(f81(a915),x89821),f327(f36(f922(x89822,a910)),x89823)),f327(f36(x89822),f38(f922(x89822,a910),x89823)))+~P1(f327(f35(f922(x89822,a910)),x89823))+P1(f327(f327(f329(f922(x89822,a910)),f480(x89821,x89823,x89822)),x89823))+~P1(f327(f35(x89822),f38(f922(x89822,a910),x89823)))
% 207.24/207.90 [9241]~P95(x92412)+E(x92411,f190(f922(x92412,a910)))+~E(f327(f327(f81(x92412),f327(x92413,f868(x92411,x92413,x92412))),f327(x92413,f869(x92411,x92413,x92412))),f327(x92413,f327(f327(f81(x92412),f868(x92411,x92413,x92412)),f869(x92411,x92413,x92412))))+~P1(f327(f35(x92412),x92411))+E(f327(f63(x92412,f81(x92412)),f327(f310(x92412,x92412,x92413),x92411)),f327(x92413,f327(f63(x92412,f81(x92412)),x92411)))
% 207.24/207.90 [10173]P1(f327(f327(x101731,x101732),x101733))+P1(f327(f327(f235(a1),f522(x101731,x101733,x101732)),f523(x101731,x101733,x101732)))+P1(f327(f327(f234(a1),f523(x101731,x101733,x101732)),f2(a1)))+P1(f327(f327(x101731,f522(x101731,x101733,x101732)),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f523(x101731,x101733,x101732))))+~P1(f327(f315(f921(a1,a1),a59),f327(f327(f252(a1,a1),x101732),x101733)))
% 207.24/207.90 [10179]P1(f327(f327(x101791,x101792),x101793))+P1(f327(f327(f234(a1),f521(x101791,x101793,x101792)),f2(a1)))+P1(f327(f327(x101791,f515(x101791,x101793,x101792)),f327(f327(f81(a1),f327(f105(a1),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f521(x101791,x101793,x101792))))+P1(f327(f327(f234(a1),f2(a1)),f327(f327(f80(a1),f515(x101791,x101793,x101792)),f521(x101791,x101793,x101792))))+~P1(f327(f315(f921(a1,a1),a53),f327(f327(f252(a1,a1),x101792),x101793)))
% 207.24/207.90 [8132]~P119(x81321)+~P1(f327(f327(f234(x81321),x81322),f78(x81321)))+~P1(f327(f327(f234(x81321),f2(x81321)),x81322))+~P1(f327(f327(f234(x81321),f2(x81321)),x81323))+P1(f327(f327(f234(x81321),f327(f327(f81(x81321),x81322),x81323)),x81323))
% 207.24/207.90 [8133]~P119(x81331)+~P1(f327(f327(f234(x81331),x81333),f78(x81331)))+~P1(f327(f327(f234(x81331),f2(x81331)),x81333))+~P1(f327(f327(f234(x81331),f2(x81331)),x81332))+P1(f327(f327(f234(x81331),f327(f327(f81(x81331),x81332),x81333)),x81332))
% 207.24/207.90 [8486]~P108(x84862)+E(x84861,f190(f922(x84862,a910)))+~P1(f327(f35(x84862),x84861))+P1(f327(f327(f329(x84862),f672(x84863,x84861,x84862)),x84861))+~P1(f327(f327(f234(x84862),f327(f63(x84862,f238(x84862)),x84861)),x84863))
% 207.24/207.90 [8487]~P108(x84872)+E(x84871,f190(f922(x84872,a910)))+~P1(f327(f35(x84872),x84871))+P1(f327(f327(f329(x84872),f698(x84873,x84871,x84872)),x84871))+~P1(f327(f327(f235(x84872),f327(f63(x84872,f238(x84872)),x84871)),x84873))
% 207.24/207.90 [8488]~P108(x84882)+E(x84881,f190(f922(x84882,a910)))+~P1(f327(f35(x84882),x84881))+P1(f327(f327(f234(x84882),f672(x84883,x84881,x84882)),x84883))+~P1(f327(f327(f234(x84882),f327(f63(x84882,f238(x84882)),x84881)),x84883))
% 207.24/207.90 [8489]~P108(x84892)+E(x84891,f190(f922(x84892,a910)))+~P1(f327(f35(x84892),x84891))+P1(f327(f327(f235(x84892),f698(x84893,x84891,x84892)),x84893))+~P1(f327(f327(f235(x84892),f327(f63(x84892,f238(x84892)),x84891)),x84893))
% 207.24/207.90 [8574]~P1(f327(x85741,x85743))+P1(f327(x85741,f441(x85741,x85742)))+P1(f327(x85741,f435(x85741,x85742)))+~P1(f327(f327(f235(a1),f2(a1)),x85742))+P1(f327(x85741,f327(f327(f23(a1),f435(x85741,x85742)),f327(f327(f81(a1),f442(x85741,x85742)),x85742))))
% 207.24/207.90 [8792]~P1(f327(x87921,x87923))+P1(f327(x87921,f435(x87921,x87922)))+~P1(f327(f327(f235(a1),f2(a1)),x87922))+P1(f327(f327(f329(a1),f441(x87921,x87922)),f303(a1,f78(a1),x87922)))+P1(f327(x87921,f327(f327(f23(a1),f435(x87921,x87922)),f327(f327(f81(a1),f442(x87921,x87922)),x87922))))
% 207.24/207.90 [9004]~P1(f327(x90041,x90043))+~P1(f327(x90041,f435(x90041,x90042)))+P1(f327(x90041,f441(x90041,x90042)))+~P1(f327(f327(f235(a1),f2(a1)),x90042))+~P1(f327(x90041,f327(f327(f23(a1),f435(x90041,x90042)),f327(f327(f81(a1),f442(x90041,x90042)),x90042))))
% 207.24/207.90 [9132]~P1(f327(x91321,x91323))+~P1(f327(x91321,f435(x91321,x91322)))+~P1(f327(f327(f235(a1),f2(a1)),x91322))+P1(f327(f327(f329(a1),f441(x91321,x91322)),f303(a1,f78(a1),x91322)))+~P1(f327(x91321,f327(f327(f23(a1),f435(x91321,x91322)),f327(f327(f81(a1),f442(x91321,x91322)),x91322))))
% 207.24/207.90 [8910]~P108(x89101)+~P1(f327(f35(x89101),x89102))+E(f327(f327(f23(f922(x89101,a910)),x89102),f327(f327(f309(x89101),x89103),f190(f922(x89101,a910)))),f190(f922(x89101,a910)))+~P1(f327(f327(f329(x89101),x89103),x89102))+E(f327(f327(f189(x89101),x89103),f14(x89101,f327(f327(f23(f922(x89101,a910)),x89102),f327(f327(f309(x89101),x89103),f190(f922(x89101,a910)))))),f14(x89101,x89102))
% 207.24/207.90 [8911]~P108(x89111)+~P1(f327(f35(x89111),x89112))+E(f327(f327(f23(f922(x89111,a910)),x89112),f327(f327(f309(x89111),x89113),f190(f922(x89111,a910)))),f190(f922(x89111,a910)))+~P1(f327(f327(f329(x89111),x89113),x89112))+E(f327(f327(f238(x89111),x89113),f15(x89111,f327(f327(f23(f922(x89111,a910)),x89112),f327(f327(f309(x89111),x89113),f190(f922(x89111,a910)))))),f15(x89111,x89112))
% 207.24/207.90 [8912]~P96(x89121)+~P1(f327(f35(x89121),x89122))+E(f327(f327(f23(f922(x89121,a910)),x89122),f327(f327(f309(x89121),x89123),f190(f922(x89121,a910)))),f190(f922(x89121,a910)))+~P1(f327(f327(f329(x89121),x89123),x89122))+E(f327(f327(f102(x89121),x89123),f13(x89121,f327(f327(f23(f922(x89121,a910)),x89122),f327(f327(f309(x89121),x89123),f190(f922(x89121,a910)))))),f13(x89121,x89122))
% 207.24/207.90 [8913]~P96(x89131)+~P1(f327(f35(x89131),x89132))+E(f327(f327(f23(f922(x89131,a910)),x89132),f327(f327(f309(x89131),x89133),f190(f922(x89131,a910)))),f190(f922(x89131,a910)))+~P1(f327(f327(f329(x89131),x89133),x89132))+E(f327(f327(f103(x89131),x89133),f10(x89131,f327(f327(f23(f922(x89131,a910)),x89132),f327(f327(f309(x89131),x89133),f190(f922(x89131,a910)))))),f10(x89131,x89132))
% 207.24/207.90 [8975]~P108(x89751)+~P1(f327(f35(x89751),x89752))+E(f327(f327(f23(f922(x89751,a910)),x89752),f327(f327(f309(x89751),x89753),f190(f922(x89751,a910)))),f190(f922(x89751,a910)))+~P1(f327(f327(f329(x89751),x89753),x89752))+E(f327(f327(f189(x89751),x89753),f11(x89751,f189(x89751),f327(f327(f23(f922(x89751,a910)),x89752),f327(f327(f309(x89751),x89753),f190(f922(x89751,a910)))))),f11(x89751,f189(x89751),x89752))
% 207.24/207.90 [8976]~P108(x89761)+~P1(f327(f35(x89761),x89762))+E(f327(f327(f23(f922(x89761,a910)),x89762),f327(f327(f309(x89761),x89763),f190(f922(x89761,a910)))),f190(f922(x89761,a910)))+~P1(f327(f327(f329(x89761),x89763),x89762))+E(f327(f327(f238(x89761),x89763),f12(x89761,f238(x89761),f327(f327(f23(f922(x89761,a910)),x89762),f327(f327(f309(x89761),x89763),f190(f922(x89761,a910)))))),f12(x89761,f238(x89761),x89762))
% 207.24/207.90 [8991]~P108(x89911)+~P1(f327(f35(x89911),x89913))+~P1(f327(f35(x89911),x89912))+E(f327(f327(f103(f922(x89911,a910)),x89912),x89913),f190(f922(x89911,a910)))+E(f327(f327(f238(x89911),f15(x89911,f327(f327(f102(f922(x89911,a910)),x89912),x89913))),f15(x89911,f327(f327(f103(f922(x89911,a910)),x89912),x89913))),f327(f327(f238(x89911),f15(x89911,x89912)),f15(x89911,x89913)))
% 207.24/207.90 [8992]~P108(x89921)+~P1(f327(f35(x89921),x89923))+~P1(f327(f35(x89921),x89922))+E(f327(f327(f103(f922(x89921,a910)),x89922),x89923),f190(f922(x89921,a910)))+E(f327(f327(f189(x89921),f14(x89921,f327(f327(f102(f922(x89921,a910)),x89922),x89923))),f14(x89921,f327(f327(f103(f922(x89921,a910)),x89922),x89923))),f327(f327(f189(x89921),f14(x89921,x89922)),f14(x89921,x89923)))
% 207.24/207.90 [8993]~P96(x89931)+~P1(f327(f35(x89931),x89933))+~P1(f327(f35(x89931),x89932))+E(f327(f327(f103(f922(x89931,a910)),x89932),x89933),f190(f922(x89931,a910)))+E(f327(f327(f102(x89931),f13(x89931,f327(f327(f102(f922(x89931,a910)),x89932),x89933))),f13(x89931,f327(f327(f103(f922(x89931,a910)),x89932),x89933))),f327(f327(f102(x89931),f13(x89931,x89932)),f13(x89931,x89933)))
% 207.24/207.90 [8994]~P96(x89941)+~P1(f327(f35(x89941),x89943))+~P1(f327(f35(x89941),x89942))+E(f327(f327(f103(f922(x89941,a910)),x89942),x89943),f190(f922(x89941,a910)))+E(f327(f327(f103(x89941),f10(x89941,f327(f327(f102(f922(x89941,a910)),x89942),x89943))),f10(x89941,f327(f327(f103(f922(x89941,a910)),x89942),x89943))),f327(f327(f103(x89941),f10(x89941,x89942)),f10(x89941,x89943)))
% 207.24/207.90 [9213]~P108(x92131)+~P1(f327(f35(x92131),x92133))+~P1(f327(f35(x92131),x92132))+E(f327(f327(f103(f922(x92131,a910)),x92132),x92133),f190(f922(x92131,a910)))+E(f327(f327(f238(x92131),f12(x92131,f238(x92131),f327(f327(f102(f922(x92131,a910)),x92132),x92133))),f12(x92131,f238(x92131),f327(f327(f103(f922(x92131,a910)),x92132),x92133))),f327(f327(f238(x92131),f12(x92131,f238(x92131),x92132)),f12(x92131,f238(x92131),x92133)))
% 207.24/207.90 [9214]~P108(x92141)+~P1(f327(f35(x92141),x92143))+~P1(f327(f35(x92141),x92142))+E(f327(f327(f103(f922(x92141,a910)),x92142),x92143),f190(f922(x92141,a910)))+E(f327(f327(f189(x92141),f11(x92141,f189(x92141),f327(f327(f102(f922(x92141,a910)),x92142),x92143))),f11(x92141,f189(x92141),f327(f327(f103(f922(x92141,a910)),x92142),x92143))),f327(f327(f189(x92141),f11(x92141,f189(x92141),x92142)),f11(x92141,f189(x92141),x92143)))
% 207.24/207.90 [10011]~P126(x100113)+E(x100111,x100112)+~P1(f327(f327(f234(x100113),f2(x100113)),x100112))+~P1(f327(f327(f234(x100113),f2(x100113)),x100111))+~E(f327(f327(f244(x100113),x100111),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))),f327(f327(f244(x100113),x100112),f327(f105(a915),f327(f327(f80(a1),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)),f327(f327(f23(a1),f327(f327(f80(a1),a83),a83)),a98)))))
% 207.24/207.90 [6054]~P58(x60542)+E(x60541,f2(x60542))+~E(f327(f327(f37(x60542),x60543),x60541),x60544)+E(x60543,f327(f327(f81(x60542),x60544),x60541))+~P1(f327(f327(f287(x60542),x60541),x60543))
% 207.24/207.90 [6055]~P58(x60552)+E(x60551,f2(x60552))+~E(x60553,f327(f327(f81(x60552),x60554),x60551))+E(f327(f327(f37(x60552),x60553),x60551),x60554)+~P1(f327(f327(f287(x60552),x60551),x60553))
% 207.24/207.90 [6527]E(f363(x65271,x65272,x65273),x65274)+E(f327(x65271,x65274),f2(a915))+~E(f327(f327(f6(x65273,a915),x65271),x65272),f78(a915))+~P1(f327(f35(x65273),x65272))+~P1(f327(f327(f329(x65273),x65274),x65272))
% 207.24/207.90 [6589]E(f365(x65891,x65892,x65893),x65894)+E(f327(x65891,x65894),f2(a915))+~E(f327(f327(f6(x65893,a915),x65891),x65892),f327(a113,f2(a915)))+~P1(f327(f35(x65893),x65892))+~P1(f327(f327(f329(x65893),x65894),x65892))
% 207.24/207.90 [6698]~P108(x66981)+~P3(x66981)+P1(f327(f327(f235(x66981),x66982),f38(x66981,x66983)))+~P1(f327(f327(f235(x66981),x66982),x66984))+~P1(f327(f327(f329(x66981),x66984),x66983))
% 207.24/207.90 [6872]~P108(x68721)+~P3(x68721)+~P1(f327(f327(f235(x68721),x68724),x68723))+P1(f327(f327(f235(x68721),f39(x68721,x68722)),x68723))+~P1(f327(f327(f329(x68721),x68724),x68722))
% 207.24/207.90 [7132]~P126(x71323)+E(x71321,x71322)+~E(f327(f327(f244(x71323),x71321),f327(a113,x71324)),f327(f327(f244(x71323),x71322),f327(a113,x71324)))+~P1(f327(f327(f234(x71323),f2(x71323)),x71322))+~P1(f327(f327(f234(x71323),f2(x71323)),x71321))
% 207.24/207.90 [7346]~E(f370(x73462,x73463,x73461,x73464),x73464)+~E(f327(x73462,x73464),f78(a915))+E(f327(f327(f6(x73461,a915),x73462),x73463),f78(a915))+~P1(f327(f35(x73461),x73463))+~P1(f327(f327(f329(x73461),x73464),x73463))
% 207.24/207.90 [7353]~P112(x73534)+~P134(x73534)+E(f327(x73531,f352(x73531,x73532,x73533,x73534)),f2(x73534))+~E(f327(f327(f9(x73533,x73534),x73531),x73532),f2(x73534))+~P1(f327(f35(x73533),x73532))
% 207.24/207.90 [7443]~E(f368(x74432,x74433,x74431,x74434),x74434)+~E(f327(x74432,x74434),f327(a113,f2(a915)))+E(f327(f327(f6(x74431,a915),x74432),x74433),f327(a113,f2(a915)))+~P1(f327(f35(x74431),x74433))+~P1(f327(f327(f329(x74431),x74434),x74433))
% 207.24/207.90 [8172]~E(f327(x81722,x81724),f78(a915))+~E(f327(x81722,f370(x81722,x81723,x81721,x81724)),f2(a915))+E(f327(f327(f6(x81721,a915),x81722),x81723),f78(a915))+~P1(f327(f35(x81721),x81723))+~P1(f327(f327(f329(x81721),x81724),x81723))
% 207.24/207.90 [8210]~E(f327(x82102,x82104),f327(a113,f2(a915)))+~E(f327(x82102,f368(x82102,x82103,x82101,x82104)),f2(a915))+E(f327(f327(f6(x82101,a915),x82102),x82103),f327(a113,f2(a915)))+~P1(f327(f35(x82101),x82103))+~P1(f327(f327(f329(x82101),x82104),x82103))
% 207.24/207.90 [8296]~P139(x82962)+~P121(x82962)+~P1(f327(x82961,x82964))+~P1(f327(f327(f287(x82962),x82963),f327(f327(f80(x82962),x82964),f2(x82962))))+P1(f327(x82961,f327(f327(f81(x82962),x82963),f854(x82963,x82961,x82962))))
% 207.24/207.90 [8759]~P108(x87591)+~P11(x87591,x87594)+P11(x87591,x87592)+~E(x87592,f327(f327(f152(x87591),x87593),x87594))+~P1(f327(f327(f234(x87591),x87593),f724(x87592,x87591,x87594,x87593)))
% 207.24/207.90 [8796]E(x87961,x87962)+E(f327(f327(f23(a1),f427(x87963,x87962,x87964,x87961)),f420(x87963,x87962,x87964,x87961)),x87961)+~E(f327(f327(f80(a1),x87961),x87964),x87962)+~P1(f327(f327(f235(a1),f2(a1)),x87964))+~P1(f327(f327(f329(a1),x87962),x87963))
% 207.24/207.90 [8797]E(x87971,x87972)+E(f327(f327(f80(a1),f428(x87973,x87972,x87974,x87971)),f429(x87973,x87972,x87974,x87971)),x87971)+~E(f327(f327(f23(a1),x87971),x87974),x87972)+~P1(f327(f327(f235(a1),f2(a1)),x87974))+~P1(f327(f327(f329(a1),x87972),x87973))
% 207.24/207.90 [8989]E(f327(x89891,f627(x89892,x89891,x89893,x89894)),x89892)+P1(f327(f327(f234(a915),x89894),f628(x89892,x89891,x89893,x89894)))+~P1(f327(f327(f234(a1),x89892),f327(x89891,x89893)))+~P1(f327(f327(f235(a915),x89894),x89893))+~P1(f327(f327(f234(a1),f327(x89891,x89894)),x89892))
% 207.24/207.90 [8990]~P108(x89901)+~P11(x89901,x89903)+P11(x89901,x89902)+~E(x89902,f327(f327(f152(x89901),x89904),x89903))+P1(f327(f327(f329(x89901),f724(x89902,x89901,x89903,x89904)),f327(f173(x89901),x89903)))
% 207.24/207.90 [9008]~P112(x90084)+~P134(x90084)+~E(f327(f327(f9(x90081,x90084),x90082),x90083),f2(x90084))+~P1(f327(f35(x90081),x90083))+P1(f327(f327(f329(x90081),f352(x90082,x90083,x90081,x90084)),x90083))
% 207.24/207.90 [9046]~E(f327(x90462,x90464),f78(a915))+E(f327(f327(f6(x90461,a915),x90462),x90463),f78(a915))+~P1(f327(f35(x90461),x90463))+~P1(f327(f327(f329(x90461),x90464),x90463))+P1(f327(f327(f329(x90461),f370(x90462,x90463,x90461,x90464)),x90463))
% 207.24/207.90 [9058]E(x90581,x90582)+~E(f327(f327(f80(a1),x90582),x90584),x90581)+~P1(f327(f327(f235(a1),f2(a1)),x90584))+~P1(f327(f327(f329(a1),x90581),x90583))+P1(f327(f327(f329(a1),f427(x90583,x90581,x90584,x90582)),x90583))
% 207.24/207.90 [9059]E(x90591,x90592)+~E(f327(f327(f23(a1),x90592),x90594),x90591)+~P1(f327(f327(f235(a1),f2(a1)),x90594))+~P1(f327(f327(f329(a1),x90591),x90593))+P1(f327(f327(f329(a1),f428(x90593,x90591,x90594,x90592)),x90593))
% 207.24/207.90 [9061]~E(f327(x90612,x90614),f327(a113,f2(a915)))+E(f327(f327(f6(x90611,a915),x90612),x90613),f327(a113,f2(a915)))+~P1(f327(f35(x90611),x90613))+~P1(f327(f327(f329(x90611),x90614),x90613))+P1(f327(f327(f329(x90611),f368(x90612,x90613,x90611,x90614)),x90613))
% 207.24/207.90 [9066]P56(x90662,x90663,x90664,x90661)+E(x90661,f190(f922(x90662,a910)))+~P1(f327(f35(x90662),x90664))+~P1(f327(f35(x90662),x90661))+P1(f327(f327(f329(x90662),f793(x90663,x90661,x90664,x90662)),x90664))
% 207.24/207.90 [9067]P56(x90672,x90673,x90674,x90671)+E(x90671,f190(f922(x90672,a910)))+~P1(f327(f35(x90672),x90674))+~P1(f327(f35(x90672),x90671))+P1(f327(f327(f329(x90672),f538(x90671,x90674,x90673,x90672)),x90674))
% 207.24/207.90 [9068]P56(x90682,x90683,x90684,x90681)+E(x90681,f190(f922(x90682,a910)))+~P1(f327(f35(x90682),x90684))+~P1(f327(f35(x90682),x90681))+P1(f327(f327(f329(x90682),f794(x90681,x90684,x90683,x90682)),x90684))
% 207.24/207.90 [9145]E(x91451,x91452)+~E(f327(f327(f80(a1),x91452),x91454),x91451)+~P1(f327(f327(f235(a1),f2(a1)),x91454))+~P1(f327(f327(f329(a1),x91451),x91453))+P1(f327(f327(f329(a1),f420(x91453,x91451,x91454,x91452)),f303(a1,f78(a1),x91454)))
% 207.24/207.90 [9146]E(x91461,x91462)+~E(f327(f327(f23(a1),x91462),x91464),x91461)+~P1(f327(f327(f235(a1),f2(a1)),x91464))+~P1(f327(f327(f329(a1),x91461),x91463))+P1(f327(f327(f329(a1),f429(x91463,x91461,x91464,x91462)),f303(a1,f78(a1),x91464)))
% 207.24/207.90 [9219]P1(f327(f327(f234(a915),x92191),f627(x92192,x92193,x92194,x92191)))+~P1(f327(f327(f234(a1),x92192),f327(x92193,x92194)))+P1(f327(f327(f234(a915),x92191),f628(x92192,x92193,x92194,x92191)))+~P1(f327(f327(f235(a915),x92191),x92194))+~P1(f327(f327(f234(a1),f327(x92193,x92191)),x92192))
% 207.24/207.90 [9333]E(f327(x93331,f627(x93332,x93331,x93333,x93334)),x93332)+~P1(f327(f327(f234(a1),x93332),f327(x93331,x93333)))+P1(f327(f327(f235(a915),f628(x93332,x93331,x93333,x93334)),x93333))+~P1(f327(f327(f235(a915),x93334),x93333))+~P1(f327(f327(f234(a1),f327(x93331,x93334)),x93332))
% 207.24/207.90 [9461]~P1(f327(f327(f234(a1),x94612),f327(x94613,x94614)))+P1(f327(f327(f234(a915),x94611),f628(x94612,x94613,x94614,x94611)))+P1(f327(f327(f234(a915),f627(x94612,x94613,x94614,x94611)),x94614))+~P1(f327(f327(f235(a915),x94611),x94614))+~P1(f327(f327(f234(a1),f327(x94613,x94611)),x94612))
% 207.24/207.90 [9462]~P1(f327(f327(f234(a1),x94622),f327(x94623,x94624)))+P1(f327(f327(f234(a915),x94621),f627(x94622,x94623,x94624,x94621)))+P1(f327(f327(f235(a915),f628(x94622,x94623,x94624,x94621)),x94624))+~P1(f327(f327(f235(a915),x94621),x94624))+~P1(f327(f327(f234(a1),f327(x94623,x94621)),x94622))
% 207.24/207.90 [9570]~P1(f327(f327(f234(a1),x95701),f327(x95702,x95703)))+P1(f327(f327(f235(a915),f628(x95701,x95702,x95703,x95704)),x95703))+~P1(f327(f327(f235(a915),x95704),x95703))+~P1(f327(f327(f234(a1),f327(x95702,x95704)),x95701))+P1(f327(f327(f234(a915),f627(x95701,x95702,x95703,x95704)),x95703))
% 207.24/207.90 [9656]E(x96561,f190(f922(x96562,a910)))+~P1(f327(f35(x96562),x96564))+~P1(f327(f35(x96562),x96561))+P1(f327(f327(f329(f921(f922(x96562,a910),f922(x96562,a910))),f327(f327(f252(f922(x96562,a910),f922(x96562,a910)),x96564),x96561)),f319(x96562,x96563)))+P1(f327(f327(f329(x96562),f547(x96563,x96561,x96564,x96562)),x96564))
% 207.24/207.90 [9657]E(x96571,f190(f922(x96572,a910)))+~P1(f327(f35(x96572),x96574))+~P1(f327(f35(x96572),x96571))+P1(f327(f327(f329(f921(f922(x96572,a910),f922(x96572,a910))),f327(f327(f252(f922(x96572,a910),f922(x96572,a910)),x96574),x96571)),f319(x96572,x96573)))+P1(f327(f327(f329(x96572),f596(x96573,x96571,x96574,x96572)),x96574))
% 207.24/207.90 [10333]E(f327(x103331,f627(x103332,x103331,x103333,x103334)),x103332)+~P1(f327(f327(f234(a1),x103332),f327(x103331,x103333)))+~P1(f327(f327(f234(a1),f327(f75(a1),f327(f327(f23(a1),f327(x103331,f327(f327(f80(a915),f628(x103332,x103331,x103333,x103334)),f78(a915)))),f327(x103331,f628(x103332,x103331,x103333,x103334))))),f78(a1)))+~P1(f327(f327(f235(a915),x103334),x103333))+~P1(f327(f327(f234(a1),f327(x103331,x103334)),x103332))
% 207.24/207.90 [10334]~P1(f327(f327(f234(a1),x103342),f327(x103343,x103344)))+P1(f327(f327(f234(a915),x103341),f627(x103342,x103343,x103344,x103341)))+~P1(f327(f327(f234(a1),f327(f75(a1),f327(f327(f23(a1),f327(x103343,f327(f327(f80(a915),f628(x103342,x103343,x103344,x103341)),f78(a915)))),f327(x103343,f628(x103342,x103343,x103344,x103341))))),f78(a1)))+~P1(f327(f327(f235(a915),x103341),x103344))+~P1(f327(f327(f234(a1),f327(x103343,x103341)),x103342))
% 207.24/207.90 [10335]~P1(f327(f327(f234(a1),x103351),f327(x103352,x103353)))+~P1(f327(f327(f234(a1),f327(f75(a1),f327(f327(f23(a1),f327(x103352,f327(f327(f80(a915),f628(x103351,x103352,x103353,x103354)),f78(a915)))),f327(x103352,f628(x103351,x103352,x103353,x103354))))),f78(a1)))+~P1(f327(f327(f235(a915),x103354),x103353))+~P1(f327(f327(f234(a1),f327(x103352,x103354)),x103351))+P1(f327(f327(f234(a915),f627(x103351,x103352,x103353,x103354)),x103353))
% 207.24/207.90 [7406]~P63(x74061)+P1(f327(f327(f235(x74061),x74062),f2(x74061)))+~P1(f327(f327(f234(x74061),x74063),f2(x74061)))+P1(f327(f327(f235(x74061),f2(x74061)),x74062))+P1(f327(f327(f234(x74061),x74063),f327(f327(f291(x74061),x74064),x74062)))
% 207.24/207.90 [7407]~P63(x74071)+P1(f327(f327(f235(x74071),x74072),f2(x74071)))+~P1(f327(f327(f235(x74071),x74073),f2(x74071)))+P1(f327(f327(f235(x74071),f2(x74071)),x74072))+P1(f327(f327(f235(x74071),x74073),f327(f327(f291(x74071),x74074),x74072)))
% 207.24/207.90 [7654]~P63(x76541)+P1(f327(f327(f234(x76541),x76542),f2(x76541)))+P1(f327(f327(f235(x76541),x76543),f2(x76541)))+P1(f327(f327(f235(x76541),f2(x76541)),x76543))+~P1(f327(f327(f234(x76541),x76542),f327(f327(f291(x76541),x76544),x76543)))
% 207.24/207.90 [7655]~P63(x76551)+P1(f327(f327(f235(x76551),x76552),f2(x76551)))+P1(f327(f327(f235(x76551),x76553),f2(x76551)))+P1(f327(f327(f235(x76551),f2(x76551)),x76553))+~P1(f327(f327(f235(x76551),x76552),f327(f327(f291(x76551),x76554),x76553)))
% 207.24/207.90 [7771]E(x77711,x77712)+~E(f327(f327(f165(x77713),x77714),x77711),f327(f327(f165(x77713),x77714),x77712))+~P1(f327(f138(x77713),x77714))+~P1(f327(f327(f235(a915),x77712),f327(f191(f916(x77713)),x77714)))+~P1(f327(f327(f235(a915),x77711),f327(f191(f916(x77713)),x77714)))
% 207.24/207.90 [8134]~P63(x81341)+~P1(f327(f327(f234(x81341),x81343),f2(x81341)))+P1(f327(f327(f235(x81341),f2(x81341)),x81342))+~P1(f327(f327(f234(x81341),x81344),f327(f327(f81(x81341),x81343),x81342)))+P1(f327(f327(f234(x81341),x81343),f327(f327(f291(x81341),x81344),x81342)))
% 207.24/207.90 [8135]~P63(x81351)+~P1(f327(f327(f235(x81351),x81353),f2(x81351)))+P1(f327(f327(f235(x81351),f2(x81351)),x81352))+~P1(f327(f327(f235(x81351),x81354),f327(f327(f81(x81351),x81353),x81352)))+P1(f327(f327(f235(x81351),x81353),f327(f327(f291(x81351),x81354),x81352)))
% 207.24/207.90 [8136]~P63(x81361)+~P1(f327(f327(f235(x81361),x81362),f2(x81361)))+P1(f327(f327(f235(x81361),f2(x81361)),x81362))+~P1(f327(f327(f234(x81361),x81364),f327(f327(f81(x81361),x81363),x81362)))+P1(f327(f327(f234(x81361),x81363),f327(f327(f291(x81361),x81364),x81362)))
% 207.24/207.90 [8137]~P63(x81371)+~P1(f327(f327(f235(x81371),x81372),f2(x81371)))+P1(f327(f327(f235(x81371),f2(x81371)),x81372))+~P1(f327(f327(f234(x81371),x81374),f327(f327(f291(x81371),x81373),x81372)))+P1(f327(f327(f234(x81371),x81373),f327(f327(f81(x81371),x81374),x81372)))
% 207.24/207.90 [8138]~P63(x81381)+~P1(f327(f327(f235(x81381),x81382),f2(x81381)))+P1(f327(f327(f235(x81381),f2(x81381)),x81382))+~P1(f327(f327(f235(x81381),x81384),f327(f327(f81(x81381),x81383),x81382)))+P1(f327(f327(f235(x81381),x81383),f327(f327(f291(x81381),x81384),x81382)))
% 207.24/207.90 [8139]~P63(x81391)+~P1(f327(f327(f235(x81391),x81392),f2(x81391)))+P1(f327(f327(f235(x81391),f2(x81391)),x81392))+~P1(f327(f327(f235(x81391),x81394),f327(f327(f291(x81391),x81393),x81392)))+P1(f327(f327(f235(x81391),x81393),f327(f327(f81(x81391),x81394),x81392)))
% 207.24/207.90 [8264]~P58(x82641)+~P1(f327(f327(f287(x82641),x82643),x82644))+~P1(f327(f327(f287(x82641),x82643),x82642))+~P1(f327(f327(f287(x82641),x82642),x82644))+P1(f327(f327(f287(x82641),f327(f327(f37(x82641),x82642),x82643)),f327(f327(f37(x82641),x82644),x82643)))
% 207.24/207.90 [8279]~P108(x82791)+~P11(x82791,x82792)+~P1(f327(f327(f234(a915),x82793),x82794))+P1(f327(f327(f234(x82791),f327(f327(f165(x82791),x82792),x82793)),f327(f327(f165(x82791),x82792),x82794)))+~P1(f327(f327(f235(a915),x82794),f327(f191(f916(x82791)),x82792)))
% 207.24/207.90 [8332]~P126(x83321)+~P1(f327(f327(f234(x83321),x83322),f78(x83321)))+~P1(f327(f327(f234(x83321),f2(x83321)),x83322))+~P1(f327(f327(f234(a915),x83324),x83323))+P1(f327(f327(f234(x83321),f327(f327(f244(x83321),x83322),x83323)),f327(f327(f244(x83321),x83322),x83324)))
% 207.24/207.90 [8333]~P126(x83331)+~P1(f327(f327(f235(x83331),x83332),f78(x83331)))+~P1(f327(f327(f235(x83331),f2(x83331)),x83332))+~P1(f327(f327(f235(a915),x83334),x83333))+P1(f327(f327(f235(x83331),f327(f327(f244(x83331),x83332),x83333)),f327(f327(f244(x83331),x83332),x83334)))
% 207.24/207.90 [8334]~P126(x83341)+~P1(f327(f327(f234(x83341),f2(x83341)),x83342))+~P1(f327(f327(f235(a915),f2(a915)),x83343))+~P1(f327(f327(f235(x83341),x83342),x83344))+P1(f327(f327(f235(x83341),f327(f327(f244(x83341),x83342),x83343)),f327(f327(f244(x83341),x83344),x83343)))
% 207.24/207.90 [8352]~P108(x83521)+~P11(x83521,f327(f169(x83521),x83522))+~P1(f327(f327(f234(a915),x83524),x83523))+P1(f327(f327(f234(x83521),f327(f327(f165(x83521),x83522),x83523)),f327(f327(f165(x83521),x83522),x83524)))+~P1(f327(f327(f235(a915),x83523),f327(f191(f916(x83521)),x83522)))
% 207.24/207.90 [8581]~P58(x85811)+P1(f327(f327(f287(x85811),x85812),x85813))+~P1(f327(f327(f287(x85811),x85814),x85813))+~P1(f327(f327(f287(x85811),x85814),x85812))+~P1(f327(f327(f287(x85811),f327(f327(f37(x85811),x85812),x85814)),f327(f327(f37(x85811),x85813),x85814)))
% 207.24/207.90 [8596]~P63(x85961)+~P1(f327(f327(f234(x85961),x85962),f2(x85961)))+~P1(f327(f327(f234(x85961),x85963),x85964))+~P1(f327(f327(f235(x85961),f2(x85961)),f327(f327(f81(x85961),x85963),x85964)))+P1(f327(f327(f234(x85961),f327(f327(f291(x85961),x85962),x85963)),f327(f327(f291(x85961),x85962),x85964)))
% 207.24/207.90 [8597]~P64(x85971)+~P1(f327(f327(f235(x85971),x85972),f2(x85971)))+~P1(f327(f327(f235(x85971),x85973),x85974))+~P1(f327(f327(f235(x85971),f2(x85971)),f327(f327(f81(x85971),x85973),x85974)))+P1(f327(f327(f235(x85971),f327(f327(f291(x85971),x85972),x85973)),f327(f327(f291(x85971),x85972),x85974)))
% 207.24/207.90 [8606]~P64(x86061)+~P1(f327(f327(f234(x86061),x86064),x86063))+~P1(f327(f327(f234(x86061),f2(x86061)),x86062))+~P1(f327(f327(f235(x86061),f2(x86061)),f327(f327(f81(x86061),x86063),x86064)))+P1(f327(f327(f234(x86061),f327(f327(f291(x86061),x86062),x86063)),f327(f327(f291(x86061),x86062),x86064)))
% 207.24/207.90 [8607]~P64(x86071)+~P1(f327(f327(f235(x86071),x86074),x86073))+~P1(f327(f327(f235(x86071),f2(x86071)),x86072))+~P1(f327(f327(f235(x86071),f2(x86071)),f327(f327(f81(x86071),x86073),x86074)))+P1(f327(f327(f235(x86071),f327(f327(f291(x86071),x86072),x86073)),f327(f327(f291(x86071),x86072),x86074)))
% 207.24/207.90 [8707]P1(f327(x87071,x87072))+~P1(f327(f35(x87074),x87072))+P1(f327(x87071,f544(x87071,x87073,x87072,x87074)))+~P1(f327(x87071,f190(f922(x87074,a910))))+~P1(f327(f327(f234(f922(x87074,a910)),x87072),x87073))
% 207.24/207.90 [8716]P1(f327(x87161,x87162))+P1(f327(f35(x87163),f544(x87161,x87164,x87162,x87163)))+~P1(f327(f35(x87163),x87162))+~P1(f327(x87161,f190(f922(x87163,a910))))+~P1(f327(f327(f234(f922(x87163,a910)),x87162),x87164))
% 207.24/207.90 [8984]E(f327(f327(f80(a1),f430(x89841,x89842,x89843,x89844)),f431(x89841,x89842,x89843,x89844)),x89844)+~P1(f327(f327(f235(a1),f2(a1)),x89843))+~P1(f327(f327(f235(a1),x89842),x89844))+~P1(f327(f327(f329(a1),x89842),x89841))+P1(f327(f327(f235(a1),x89842),f327(f327(f23(a1),x89844),x89843)))
% 207.24/207.90 [9201]~P1(f327(f327(f235(a1),f2(a1)),x92013))+~P1(f327(f327(f235(a1),x92012),x92014))+~P1(f327(f327(f329(a1),x92012),x92011))+P1(f327(f327(f329(a1),f430(x92011,x92012,x92013,x92014)),x92011))+P1(f327(f327(f235(a1),x92012),f327(f327(f23(a1),x92014),x92013)))
% 207.24/207.90 [9212]P1(f327(x92121,x92122))+~P1(f327(f35(x92123),x92122))+P1(f327(f327(f329(x92123),f532(x92121,x92124,x92122,x92123)),x92124))+~P1(f327(x92121,f190(f922(x92123,a910))))+~P1(f327(f327(f234(f922(x92123,a910)),x92122),x92124))
% 207.24/207.90 [9229]E(f327(f327(f80(a1),f421(x92291,x92292,x92293,x92294)),f422(x92291,x92292,x92293,x92294)),x92294)+~P1(f327(f327(f235(a1),f2(a1)),x92293))+~P1(f327(f327(f234(a1),x92292),x92294))+P1(f327(f327(f234(a1),x92292),f327(f327(f23(a1),x92294),x92293)))+~P1(f327(f327(f329(a1),f327(f327(f23(a1),x92292),f78(a1))),x92291))
% 207.24/207.90 [9283]~P1(f327(f327(f235(a1),f2(a1)),x92833))+~P1(f327(f327(f235(a1),x92831),x92832))+~P1(f327(f327(f329(a1),x92831),x92834))+P1(f327(f327(f329(a1),f431(x92834,x92831,x92833,x92832)),f303(a1,f78(a1),x92833)))+P1(f327(f327(f235(a1),x92831),f327(f327(f23(a1),x92832),x92833)))
% 207.24/207.90 [9309]~P68(x93092)+~E(f777(x93093,x93094,x93091,x93092),f778(x93093,x93094,x93091,x93092))+~P1(f327(f35(x93091),f779(x93093,x93094,x93091,x93092)))+E(f327(f327(f6(f922(x93091,a910),x93092),f327(f6(x93091,x93092),x93093)),x93094),f327(f327(f6(x93091,x93092),x93093),f38(f922(x93091,a910),x93094)))+~P1(f327(f35(f922(x93091,a910)),x93094))
% 207.24/207.90 [9313]~P68(x93132)+~E(f327(x93133,f781(x93133,x93134,x93131,x93132)),f2(x93132))+~P1(f327(f35(x93131),f779(x93133,x93134,x93131,x93132)))+E(f327(f327(f6(f922(x93131,a910),x93132),f327(f6(x93131,x93132),x93133)),x93134),f327(f327(f6(x93131,x93132),x93133),f38(f922(x93131,a910),x93134)))+~P1(f327(f35(f922(x93131,a910)),x93134))
% 207.24/207.90 [9376]~P1(f327(f327(f235(a1),f2(a1)),x93763))+~P1(f327(f327(f234(a1),x93762),x93764))+P1(f327(f327(f329(a1),f421(x93761,x93762,x93763,x93764)),x93761))+P1(f327(f327(f234(a1),x93762),f327(f327(f23(a1),x93764),x93763)))+~P1(f327(f327(f329(a1),f327(f327(f23(a1),x93762),f78(a1))),x93761))
% 207.24/207.90 [9420]~P1(f327(f327(f235(a1),f2(a1)),x94203))+~P1(f327(f327(f234(a1),x94201),x94202))+P1(f327(f327(f329(a1),f422(x94204,x94201,x94203,x94202)),f303(a1,f78(a1),x94203)))+P1(f327(f327(f234(a1),x94201),f327(f327(f23(a1),x94202),x94203)))+~P1(f327(f327(f329(a1),f327(f327(f23(a1),x94201),f78(a1))),x94204))
% 207.24/207.90 [9441]~P68(x94412)+~E(f777(x94413,x94414,x94411,x94412),f778(x94413,x94414,x94411,x94412))+E(f327(f327(f6(f922(x94411,a910),x94412),f327(f6(x94411,x94412),x94413)),x94414),f327(f327(f6(x94411,x94412),x94413),f38(f922(x94411,a910),x94414)))+P1(f327(f327(f329(f922(x94411,a910)),f779(x94413,x94414,x94411,x94412)),x94414))+~P1(f327(f35(f922(x94411,a910)),x94414))
% 207.24/207.90 [9446]~P68(x94462)+~E(f327(x94463,f781(x94463,x94464,x94461,x94462)),f2(x94462))+E(f327(f327(f6(f922(x94461,a910),x94462),f327(f6(x94461,x94462),x94463)),x94464),f327(f327(f6(x94461,x94462),x94463),f38(f922(x94461,a910),x94464)))+P1(f327(f327(f329(f922(x94461,a910)),f779(x94463,x94464,x94461,x94462)),x94464))+~P1(f327(f35(f922(x94461,a910)),x94464))
% 207.24/207.90 [9547]~P68(x95472)+~P1(f327(f35(x95471),f779(x95473,x95474,x95471,x95472)))+E(f327(f327(f6(f922(x95471,a910),x95472),f327(f6(x95471,x95472),x95473)),x95474),f327(f327(f6(x95471,x95472),x95473),f38(f922(x95471,a910),x95474)))+P1(f327(f327(f329(f922(x95471,a910)),f778(x95473,x95474,x95471,x95472)),x95474))+~P1(f327(f35(f922(x95471,a910)),x95474))
% 207.24/207.90 [9548]~P68(x95482)+~P1(f327(f35(x95481),f779(x95483,x95484,x95481,x95482)))+E(f327(f327(f6(f922(x95481,a910),x95482),f327(f6(x95481,x95482),x95483)),x95484),f327(f327(f6(x95481,x95482),x95483),f38(f922(x95481,a910),x95484)))+P1(f327(f327(f329(f922(x95481,a910)),f777(x95483,x95484,x95481,x95482)),x95484))+~P1(f327(f35(f922(x95481,a910)),x95484))
% 207.24/207.90 [9627]~P68(x96272)+E(f327(f327(f6(f922(x96271,a910),x96272),f327(f6(x96271,x96272),x96273)),x96274),f327(f327(f6(x96271,x96272),x96273),f38(f922(x96271,a910),x96274)))+P1(f327(f327(f329(f922(x96271,a910)),f779(x96273,x96274,x96271,x96272)),x96274))+P1(f327(f327(f329(f922(x96271,a910)),f778(x96273,x96274,x96271,x96272)),x96274))+~P1(f327(f35(f922(x96271,a910)),x96274))
% 207.24/207.90 [9628]~P68(x96282)+E(f327(f327(f6(f922(x96281,a910),x96282),f327(f6(x96281,x96282),x96283)),x96284),f327(f327(f6(x96281,x96282),x96283),f38(f922(x96281,a910),x96284)))+P1(f327(f327(f329(f922(x96281,a910)),f779(x96283,x96284,x96281,x96282)),x96284))+P1(f327(f327(f329(f922(x96281,a910)),f777(x96283,x96284,x96281,x96282)),x96284))+~P1(f327(f35(f922(x96281,a910)),x96284))
% 207.24/207.90 [9645]~P68(x96452)+P1(f327(f327(f329(x96451),f781(x96453,x96454,x96451,x96452)),f778(x96453,x96454,x96451,x96452)))+~P1(f327(f35(x96451),f779(x96453,x96454,x96451,x96452)))+E(f327(f327(f6(f922(x96451,a910),x96452),f327(f6(x96451,x96452),x96453)),x96454),f327(f327(f6(x96451,x96452),x96453),f38(f922(x96451,a910),x96454)))+~P1(f327(f35(f922(x96451,a910)),x96454))
% 207.24/207.90 [9646]~P68(x96462)+P1(f327(f327(f329(x96461),f781(x96463,x96464,x96461,x96462)),f777(x96463,x96464,x96461,x96462)))+~P1(f327(f35(x96461),f779(x96463,x96464,x96461,x96462)))+E(f327(f327(f6(f922(x96461,a910),x96462),f327(f6(x96461,x96462),x96463)),x96464),f327(f327(f6(x96461,x96462),x96463),f38(f922(x96461,a910),x96464)))+~P1(f327(f35(f922(x96461,a910)),x96464))
% 207.24/207.90 [9659]P1(f327(x96591,x96592))+~P1(f327(f327(f329(x96593),f532(x96591,x96594,x96592,x96593)),f544(x96591,x96594,x96592,x96593)))+~P1(f327(f35(x96593),x96592))+~P1(f327(x96591,f190(f922(x96593,a910))))+~P1(f327(f327(f234(f922(x96593,a910)),x96592),x96594))
% 207.24/207.90 [9697]~P68(x96972)+P1(f327(f327(f329(x96971),f781(x96973,x96974,x96971,x96972)),f778(x96973,x96974,x96971,x96972)))+E(f327(f327(f6(f922(x96971,a910),x96972),f327(f6(x96971,x96972),x96973)),x96974),f327(f327(f6(x96971,x96972),x96973),f38(f922(x96971,a910),x96974)))+P1(f327(f327(f329(f922(x96971,a910)),f779(x96973,x96974,x96971,x96972)),x96974))+~P1(f327(f35(f922(x96971,a910)),x96974))
% 207.24/207.90 [9698]~P68(x96982)+P1(f327(f327(f329(x96981),f781(x96983,x96984,x96981,x96982)),f777(x96983,x96984,x96981,x96982)))+E(f327(f327(f6(f922(x96981,a910),x96982),f327(f6(x96981,x96982),x96983)),x96984),f327(f327(f6(x96981,x96982),x96983),f38(f922(x96981,a910),x96984)))+P1(f327(f327(f329(f922(x96981,a910)),f779(x96983,x96984,x96981,x96982)),x96984))+~P1(f327(f35(f922(x96981,a910)),x96984))
% 207.24/207.90 [9874]P1(f327(x98741,x98742))+~P1(f327(f35(x98743),x98742))+~P1(f327(x98741,f327(f327(f309(x98743),f532(x98741,x98744,x98742,x98743)),f544(x98741,x98744,x98742,x98743))))+~P1(f327(x98741,f190(f922(x98743,a910))))+~P1(f327(f327(f234(f922(x98743,a910)),x98742),x98744))
% 207.24/207.90 [7906]~P63(x79061)+P1(f327(f327(f235(x79061),x79062),f2(x79061)))+~P1(f327(f327(f234(x79061),f2(x79061)),x79064))+P1(f327(f327(f235(x79061),f2(x79061)),x79062))+P1(f327(f327(f234(x79061),f327(f327(f291(x79061),x79063),x79062)),x79064))
% 207.24/207.90 [7907]~P63(x79071)+P1(f327(f327(f235(x79071),x79072),f2(x79071)))+P1(f327(f327(f235(x79071),f2(x79071)),x79072))+~P1(f327(f327(f235(x79071),f2(x79071)),x79074))+P1(f327(f327(f235(x79071),f327(f327(f291(x79071),x79073),x79072)),x79074))
% 207.24/207.90 [8185]~P1(f327(f327(f234(a1),x81854),f2(a1)))+~E(x81852,f327(f327(f80(a1),f327(f327(f81(a1),x81851),x81853)),x81854))+P1(f327(f327(f235(a1),f2(a1)),x81851))+~P1(f327(f327(f235(a1),x81851),x81854))+P1(f327(f50(x81852,x81851),f327(f327(f252(a1,a1),x81853),x81854)))
% 207.24/207.90 [8219]~P1(f327(x82191,x82194))+P1(f327(x82191,f417(x82192,x82191,x82193)))+~P1(f327(f327(f234(a1),f2(a1)),x82192))+~P1(f327(f327(f235(a1),f2(a1)),x82193))+P1(f327(x82191,f327(f327(f23(a1),x82194),f327(f327(f81(a1),x82192),x82193))))
% 207.24/207.90 [8220]~P1(f327(x82201,x82204))+P1(f327(x82201,f450(x82202,x82201,x82203)))+~P1(f327(f327(f234(a1),f2(a1)),x82202))+~P1(f327(f327(f235(a1),f2(a1)),x82203))+P1(f327(x82201,f327(f327(f80(a1),x82204),f327(f327(f81(a1),x82202),x82203))))
% 207.24/207.90 [8221]~P63(x82211)+P1(f327(f327(f235(x82211),x82212),f2(x82211)))+P1(f327(f327(f235(x82211),f2(x82211)),x82212))+P1(f327(f327(f234(x82211),f2(x82211)),x82213))+~P1(f327(f327(f234(x82211),f327(f327(f291(x82211),x82214),x82212)),x82213))
% 207.24/207.90 [8222]~P63(x82221)+P1(f327(f327(f235(x82221),x82222),f2(x82221)))+P1(f327(f327(f235(x82221),f2(x82221)),x82222))+P1(f327(f327(f235(x82221),f2(x82221)),x82223))+~P1(f327(f327(f235(x82221),f327(f327(f291(x82221),x82224),x82222)),x82223))
% 207.24/207.90 [8274]~E(x82741,f327(f327(f80(a1),f327(f327(f81(a1),x82742),x82743)),x82744))+~P1(f327(f327(f234(a1),f2(a1)),x82744))+~P1(f327(f327(f235(a1),f2(a1)),x82742))+~P1(f327(f327(f235(a1),x82744),x82742))+P1(f327(f50(x82741,x82742),f327(f327(f252(a1,a1),x82743),x82744)))
% 207.24/207.90 [8391]~P63(x83911)+P1(f327(f327(f235(x83911),x83912),f2(x83911)))+~P1(f327(f327(f234(x83911),f2(x83911)),x83914))+~P1(f327(f327(f234(x83911),x83913),f327(f327(f81(x83911),x83914),x83912)))+P1(f327(f327(f234(x83911),f327(f327(f291(x83911),x83913),x83912)),x83914))
% 207.24/207.90 [8392]~P63(x83921)+P1(f327(f327(f235(x83921),x83922),f2(x83921)))+~P1(f327(f327(f235(x83921),f2(x83921)),x83924))+~P1(f327(f327(f235(x83921),x83923),f327(f327(f81(x83921),x83924),x83922)))+P1(f327(f327(f235(x83921),f327(f327(f291(x83921),x83923),x83922)),x83924))
% 207.24/207.90 [8476]~P63(x84761)+P1(f327(f327(f235(x84761),x84762),f2(x84761)))+~P1(f327(f327(f234(x84761),x84763),f2(x84761)))+P1(f327(f327(f234(x84761),x84763),f327(f327(f291(x84761),x84764),x84762)))+~P1(f327(f327(f234(x84761),f327(f327(f81(x84761),x84763),x84762)),x84764))
% 207.24/207.90 [8477]~P63(x84771)+P1(f327(f327(f235(x84771),x84772),f2(x84771)))+~P1(f327(f327(f235(x84771),x84773),f2(x84771)))+P1(f327(f327(f235(x84771),x84773),f327(f327(f291(x84771),x84774),x84772)))+~P1(f327(f327(f235(x84771),f327(f327(f81(x84771),x84773),x84772)),x84774))
% 207.24/207.90 [8628]~P63(x86281)+~P1(f327(f327(f235(x86281),x86282),f2(x86281)))+P1(f327(f327(f235(x86281),f2(x86281)),x86282))+~P1(f327(f327(f234(x86281),f327(f327(f291(x86281),x86284),x86282)),x86283))+P1(f327(f327(f234(x86281),f327(f327(f81(x86281),x86283),x86282)),x86284))
% 207.24/207.90 [8629]~P63(x86291)+~P1(f327(f327(f235(x86291),x86292),f2(x86291)))+P1(f327(f327(f235(x86291),f2(x86291)),x86292))+~P1(f327(f327(f234(x86291),f327(f327(f81(x86291),x86294),x86292)),x86293))+P1(f327(f327(f234(x86291),f327(f327(f291(x86291),x86293),x86292)),x86294))
% 207.24/207.90 [8630]~P63(x86301)+~P1(f327(f327(f235(x86301),x86302),f2(x86301)))+P1(f327(f327(f235(x86301),f2(x86301)),x86302))+~P1(f327(f327(f235(x86301),f327(f327(f291(x86301),x86304),x86302)),x86303))+P1(f327(f327(f235(x86301),f327(f327(f81(x86301),x86303),x86302)),x86304))
% 207.24/207.90 [8631]~P63(x86311)+~P1(f327(f327(f235(x86311),x86312),f2(x86311)))+P1(f327(f327(f235(x86311),f2(x86311)),x86312))+~P1(f327(f327(f235(x86311),f327(f327(f81(x86311),x86314),x86312)),x86313))+P1(f327(f327(f235(x86311),f327(f327(f291(x86311),x86313),x86312)),x86314))
% 207.24/207.90 [8647]~P63(x86471)+~P1(f327(f327(f234(x86471),f2(x86471)),x86474))+P1(f327(f327(f235(x86471),f2(x86471)),x86472))+~P1(f327(f327(f234(x86471),f327(f327(f81(x86471),x86474),x86472)),x86473))+P1(f327(f327(f234(x86471),f327(f327(f291(x86471),x86473),x86472)),x86474))
% 207.24/207.90 [8648]~P63(x86481)+~P1(f327(f327(f235(x86481),f2(x86481)),x86484))+P1(f327(f327(f235(x86481),f2(x86481)),x86482))+~P1(f327(f327(f235(x86481),f327(f327(f81(x86481),x86484),x86482)),x86483))+P1(f327(f327(f235(x86481),f327(f327(f291(x86481),x86483),x86482)),x86484))
% 207.24/207.90 [8724]~P63(x87241)+~P1(f327(f327(f235(x87241),x87244),f2(x87241)))+~P1(f327(f327(f234(x87241),x87243),f327(f327(f81(x87241),x87242),x87244)))+P1(f327(f327(f234(x87241),x87242),f327(f327(f291(x87241),x87243),x87244)))+~P1(f327(f327(f234(x87241),f327(f327(f81(x87241),x87242),x87244)),x87243))
% 207.24/207.90 [8725]~P63(x87251)+~P1(f327(f327(f234(x87251),x87252),f2(x87251)))+~P1(f327(f327(f234(x87251),x87253),f327(f327(f81(x87251),x87252),x87254)))+P1(f327(f327(f234(x87251),x87252),f327(f327(f291(x87251),x87253),x87254)))+~P1(f327(f327(f234(x87251),f327(f327(f81(x87251),x87252),x87254)),x87253))
% 207.24/207.90 [8726]~P63(x87261)+~P1(f327(f327(f235(x87261),x87264),f2(x87261)))+~P1(f327(f327(f235(x87261),x87263),f327(f327(f81(x87261),x87262),x87264)))+P1(f327(f327(f235(x87261),x87262),f327(f327(f291(x87261),x87263),x87264)))+~P1(f327(f327(f235(x87261),f327(f327(f81(x87261),x87262),x87264)),x87263))
% 207.24/207.90 [8727]~P63(x87271)+~P1(f327(f327(f235(x87271),x87272),f2(x87271)))+~P1(f327(f327(f235(x87271),x87273),f327(f327(f81(x87271),x87272),x87274)))+P1(f327(f327(f235(x87271),x87272),f327(f327(f291(x87271),x87273),x87274)))+~P1(f327(f327(f235(x87271),f327(f327(f81(x87271),x87272),x87274)),x87273))
% 207.24/207.90 [8849]~P63(x88491)+~P1(f327(f327(f235(x88491),x88493),f2(x88491)))+~P1(f327(f327(f234(x88491),x88492),f327(f327(f81(x88491),x88494),x88493)))+~P1(f327(f327(f234(x88491),f327(f327(f81(x88491),x88494),x88493)),x88492))+P1(f327(f327(f234(x88491),f327(f327(f291(x88491),x88492),x88493)),x88494))
% 207.24/207.90 [8850]~P63(x88501)+~P1(f327(f327(f235(x88501),x88503),f2(x88501)))+~P1(f327(f327(f235(x88501),x88502),f327(f327(f81(x88501),x88504),x88503)))+~P1(f327(f327(f235(x88501),f327(f327(f81(x88501),x88504),x88503)),x88502))+P1(f327(f327(f235(x88501),f327(f327(f291(x88501),x88502),x88503)),x88504))
% 207.24/207.90 [8867]~P63(x88671)+~P1(f327(f327(f234(x88671),f2(x88671)),x88674))+~P1(f327(f327(f234(x88671),x88672),f327(f327(f81(x88671),x88674),x88673)))+~P1(f327(f327(f234(x88671),f327(f327(f81(x88671),x88674),x88673)),x88672))+P1(f327(f327(f234(x88671),f327(f327(f291(x88671),x88672),x88673)),x88674))
% 207.24/207.90 [8868]~P63(x88681)+~P1(f327(f327(f235(x88681),f2(x88681)),x88684))+~P1(f327(f327(f235(x88681),x88682),f327(f327(f81(x88681),x88684),x88683)))+~P1(f327(f327(f235(x88681),f327(f327(f81(x88681),x88684),x88683)),x88682))+P1(f327(f327(f235(x88681),f327(f327(f291(x88681),x88682),x88683)),x88684))
% 207.24/207.90 [9051]E(f327(f327(f23(a1),f440(x90511,x90512,x90513,x90514)),f434(x90511,x90512,x90513,x90514)),x90514)+~P1(f327(f327(f235(a1),f2(a1)),x90513))+~P1(f327(f327(f329(a1),x90512),x90511))+~P1(f327(f327(f235(a1),x90514),x90512))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x90514),x90513)),x90512))
% 207.24/207.90 [9126]~P1(f327(x91261,x91262))+~P1(f327(f327(f234(a1),f2(a1)),x91263))+~P1(f327(f327(f235(a1),f2(a1)),x91264))+~P1(f327(x91261,f327(f327(f23(a1),f417(x91263,x91261,x91264)),x91264)))+P1(f327(x91261,f327(f327(f23(a1),x91262),f327(f327(f81(a1),x91263),x91264))))
% 207.24/207.90 [9127]~P1(f327(x91271,x91272))+~P1(f327(f327(f234(a1),f2(a1)),x91273))+~P1(f327(f327(f235(a1),f2(a1)),x91274))+~P1(f327(x91271,f327(f327(f80(a1),f450(x91273,x91271,x91274)),x91274)))+P1(f327(x91271,f327(f327(f80(a1),x91272),f327(f327(f81(a1),x91273),x91274))))
% 207.24/207.90 [9277]~P1(f327(f327(f235(a1),f2(a1)),x92773))+~P1(f327(f327(f329(a1),x92772),x92771))+~P1(f327(f327(f235(a1),x92774),x92772))+P1(f327(f327(f329(a1),f440(x92771,x92772,x92773,x92774)),x92771))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x92774),x92773)),x92772))
% 207.24/207.90 [9296]E(f327(f327(f23(a1),f423(x92961,x92962,x92963,x92964)),f424(x92961,x92962,x92963,x92964)),x92964)+~P1(f327(f327(f235(a1),f2(a1)),x92963))+~P1(f327(f327(f234(a1),x92964),x92962))+~P1(f327(f327(f329(a1),f327(f327(f80(a1),x92962),f78(a1))),x92961))+P1(f327(f327(f234(a1),f327(f327(f80(a1),x92964),x92963)),x92962))
% 207.24/207.90 [9324]~P1(f327(f327(f235(a1),f2(a1)),x93242))+~P1(f327(f327(f329(a1),x93243),x93244))+~P1(f327(f327(f235(a1),x93241),x93243))+P1(f327(f327(f329(a1),f434(x93244,x93243,x93242,x93241)),f303(a1,f78(a1),x93242)))+P1(f327(f327(f235(a1),f327(f327(f80(a1),x93241),x93242)),x93243))
% 207.24/207.90 [9412]~P1(f327(f327(f235(a1),f2(a1)),x94123))+~P1(f327(f327(f234(a1),x94124),x94122))+P1(f327(f327(f329(a1),f423(x94121,x94122,x94123,x94124)),x94121))+~P1(f327(f327(f329(a1),f327(f327(f80(a1),x94122),f78(a1))),x94121))+P1(f327(f327(f234(a1),f327(f327(f80(a1),x94124),x94123)),x94122))
% 207.24/207.90 [9457]~P1(f327(f327(f235(a1),f2(a1)),x94572))+~P1(f327(f327(f234(a1),x94571),x94573))+P1(f327(f327(f329(a1),f424(x94574,x94573,x94572,x94571)),f303(a1,f78(a1),x94572)))+~P1(f327(f327(f329(a1),f327(f327(f80(a1),x94573),f78(a1))),x94574))+P1(f327(f327(f234(a1),f327(f327(f80(a1),x94571),x94572)),x94573))
% 207.24/207.90 [9752]~P35(x97521,x97523)+~P25(x97521,x97524)+P35(x97521,f327(f327(f102(f922(f921(x97521,x97521),a910)),x97522),x97523))+~P1(f327(f327(f234(f922(f921(x97521,x97521),a910)),x97522),f327(f251(f922(f921(x97521,x97521),a910),f922(f921(x97521,x97521),a910)),x97524)))+~P1(f327(f327(f234(f922(f921(x97521,x97521),a910)),x97523),f327(f256(f922(f921(x97521,x97521),a910),f922(f921(x97521,x97521),a910)),x97524)))
% 207.24/207.90 [10142]~P16(x101422,x101424,x101423)+E(x101421,f190(f922(x101422,a910)))+~P1(f327(f35(x101422),x101421))+P1(f327(f327(f329(x101422),f327(x101423,x101421)),x101421))+~P1(f327(f327(f329(x101422),f327(f327(x101424,f907(x101421,x101423,x101424,x101422)),f350(x101421,x101423,x101424,x101422))),f327(f327(f309(x101422),f907(x101421,x101423,x101424,x101422)),f327(f327(f309(x101422),f350(x101421,x101423,x101424,x101422)),f190(f922(x101422,a910))))))
% 207.24/207.90 [10066]~P110(x100662)+~P60(x100661)+~P1(f327(f327(f234(f922(x100661,x100662)),x100663),x100664))+P1(f327(f327(f235(f922(x100661,x100662)),x100663),x100664))+~P1(f327(f57(x100661),f327(f327(f8(a910,a910,x100661),a322),f327(f327(f18(x100661,x100662,a910),f327(f327(f8(x100662,f922(x100662,a910),x100661),a324),x100663)),x100664))))
% 207.24/207.90 [9665]~P52(x96651,x96651,x96654)+P1(f327(f327(f329(f921(x96651,x96651)),f327(f327(f252(x96651,x96651),x96652),x96653)),f307(x96651,x96654)))+P1(f327(f327(f329(f921(x96651,x96651)),f327(f327(f252(x96651,x96651),x96653),x96652)),f307(x96651,x96654)))+~P1(f327(f327(f329(f921(x96651,x96651)),f327(f327(f252(x96651,x96651),x96655),x96652)),f307(x96651,x96654)))+~P1(f327(f327(f329(f921(x96651,x96651)),f327(f327(f252(x96651,x96651),x96655),x96653)),f307(x96651,x96654)))
% 207.24/207.90 [5793]E(x57931,f2(a915))+~E(f327(f36(x57932),x57935),x57931)+E(f327(f36(x57932),x57933),f327(a113,x57931))+~E(x57933,f327(f327(f309(x57932),x57934),x57935))+P1(f327(f327(f329(x57932),x57934),x57935))
% 207.24/207.90 [5915]~P62(x59152)+E(x59151,f2(x59152))+E(x59153,f2(x59152))+~E(f327(f327(f291(x59152),x59154),x59153),f327(f327(f291(x59152),x59155),x59151))+E(f327(f327(f81(x59152),x59154),x59151),f327(f327(f81(x59152),x59155),x59153))
% 207.24/207.90 [5916]~P62(x59162)+E(x59161,f2(x59162))+E(x59163,f2(x59162))+~E(f327(f327(f81(x59162),x59164),x59163),f327(f327(f81(x59162),x59165),x59161))+E(f327(f327(f291(x59162),x59164),x59161),f327(f327(f291(x59162),x59165),x59163))
% 207.24/207.90 [5985]~E(f327(f36(x59851),x59855),x59853)+~E(x59855,f190(f922(x59851,a910)))+E(f327(f36(x59851),x59852),f327(a113,x59853))+~E(x59852,f327(f327(f309(x59851),x59854),x59855))+P1(f327(f327(f329(x59851),x59854),x59855))
% 207.24/207.90 [6224]~P112(x62242)+~E(f327(x62243,x62245),f2(x62242))+E(f327(f327(f9(x62241,x62242),x62243),x62244),f2(x62242))+~P1(f327(f35(x62241),x62244))+~P1(f327(f327(f329(x62241),x62245),x62244))
% 207.24/207.90 [6602]~P108(x66023)+E(x66021,x66022)+~E(f327(f302(x66023,x66024),x66021),f327(f302(x66023,x66025),x66022))+~P1(f327(f327(f235(x66023),x66025),x66022))+~P1(f327(f327(f235(x66023),x66024),x66021))
% 207.24/207.90 [6603]~P108(x66033)+E(x66031,x66032)+~E(f327(f302(x66033,x66031),x66034),f327(f302(x66033,x66032),x66035))+~P1(f327(f327(f235(x66033),x66032),x66035))+~P1(f327(f327(f235(x66033),x66031),x66034))
% 207.24/207.90 [7671]~P108(x76711)+~P11(x76711,f327(f327(f135(x76711),x76714),x76715))+~P1(f327(f327(f329(x76711),x76713),f327(f173(x76711),x76715)))+~P1(f327(f327(f329(x76711),x76712),f327(f173(x76711),x76714)))+P1(f327(f327(f234(x76711),x76712),x76713))
% 207.24/207.90 [8761]~P110(x87611)+~P1(f327(f327(f235(f922(x87611,a910)),f303(x87611,x87615,x87612)),f303(x87611,x87614,x87613)))+~P1(f327(f327(f234(x87611),x87615),x87612))+P1(f327(f327(f235(x87611),x87612),x87613))+P1(f327(f327(f235(x87611),x87614),x87615))
% 207.24/207.90 [10185]~P15(x101852,x101855,x101853)+E(x101851,f190(f922(x101852,a910)))+~E(f327(f327(x101855,f327(x101854,f384(x101851,x101854,x101853,x101855,x101852))),f327(x101854,f397(x101851,x101854,x101853,x101855,x101852))),f327(x101854,f327(f327(x101855,f384(x101851,x101854,x101853,x101855,x101852)),f397(x101851,x101854,x101853,x101855,x101852))))+E(f327(x101853,f327(f310(x101852,x101852,x101854),x101851)),f327(x101854,f327(x101853,x101851)))+~P1(f327(f35(x101852),x101851))
% 207.24/207.90 [6599]~P16(x65992,x65995,x65993)+E(x65991,f190(f922(x65992,a910)))+~P1(f327(f35(x65992),x65991))+E(f327(x65993,f327(f327(f309(x65992),x65994),x65991)),f327(f327(x65995,x65994),f327(x65993,x65991)))+P1(f327(f327(f329(x65992),x65994),x65991))
% 207.24/207.90 [7434]~P15(x74342,x74343,x74344)+E(f327(f327(x74343,f327(x74344,x74341)),f327(x74344,x74345)),f327(x74344,x74345))+E(x74341,f190(f922(x74342,a910)))+~P1(f327(f35(x74342),x74345))+~P1(f327(f327(f234(f922(x74342,a910)),x74341),x74345))
% 207.24/207.90 [7806]~P16(x78064,x78065,x78061)+E(f327(x78061,x78062),x78063)+~P1(f327(f35(x78064),x78062))+~E(f327(f327(f23(f922(x78064,a910)),x78062),f327(f327(f309(x78064),x78063),f190(f922(x78064,a910)))),f190(f922(x78064,a910)))+~P1(f327(f327(f329(x78064),x78063),x78062))
% 207.24/207.90 [8682]~P75(x86821)+~P121(x86821)+~P1(f327(f35(x86822),x86825))+P1(f327(f327(f287(x86821),f327(f327(f9(x86822,x86821),x86823),x86824)),f327(f327(f9(x86822,x86821),x86823),x86825)))+~P1(f327(f327(f234(f922(x86822,a910)),x86824),x86825))
% 207.24/207.90 [8731]E(x87311,x87312)+~P6(x87313,x87314,x87315)+E(f327(f327(f103(f922(x87313,a910)),x87311),x87312),f190(f922(x87313,a910)))+~P1(f327(f327(f329(f922(x87313,a910)),x87312),f327(f327(f61(x87313),x87314),x87315)))+~P1(f327(f327(f329(f922(x87313,a910)),x87311),f327(f327(f61(x87313),x87314),x87315)))
% 207.24/207.90 [9540]~P68(x95402)+~E(f327(x95403,f455(x95403,x95404,x95405,x95401,x95402)),f2(x95402))+E(f327(f327(f6(x95401,x95402),x95403),x95404),f327(f327(f6(x95401,x95402),x95403),x95405))+~P1(f327(f35(x95401),x95405))+~P1(f327(f327(f234(f922(x95401,a910)),x95404),x95405))
% 207.24/207.90 [9541]~P68(x95412)+~E(f327(x95413,f456(x95413,x95414,x95415,x95411,x95412)),f2(x95412))+E(f327(f327(f6(x95411,x95412),x95413),x95414),f327(f327(f6(x95411,x95412),x95413),x95415))+~P1(f327(f35(x95411),x95415))+~P1(f327(f327(f234(f922(x95411,a910)),x95414),x95415))
% 207.24/207.90 [9542]~P75(x95422)+~E(f327(x95423,f894(x95423,x95424,x95425,x95421,x95422)),f78(x95422))+E(f327(f327(f9(x95421,x95422),x95423),x95424),f327(f327(f9(x95421,x95422),x95423),x95425))+~P1(f327(f35(x95421),x95425))+~P1(f327(f327(f234(f922(x95421,a910)),x95424),x95425))
% 207.24/207.90 [9543]~P75(x95432)+~E(f327(x95433,f895(x95433,x95434,x95435,x95431,x95432)),f78(x95432))+E(f327(f327(f9(x95431,x95432),x95433),x95434),f327(f327(f9(x95431,x95432),x95433),x95435))+~P1(f327(f35(x95431),x95435))+~P1(f327(f327(f234(f922(x95431,a910)),x95434),x95435))
% 207.24/207.90 [10019]~P88(x100191)+~P1(f327(f35(x100192),x100195))+~P1(f327(f327(f234(x100191),f2(x100191)),f327(x100193,f375(x100193,x100194,x100195,x100192,x100191))))+P1(f327(f327(f234(x100191),f327(f327(f6(x100192,x100191),x100193),x100194)),f327(f327(f6(x100192,x100191),x100193),x100195)))+~P1(f327(f327(f234(f922(x100192,a910)),x100194),x100195))
% 207.24/207.90 [7668]E(x76681,f2(a915))+P1(f327(x76682,x76683))+~E(x76684,f327(f327(f80(a915),f327(f327(f81(a915),x76681),x76683)),x76685))+~P1(f327(f327(f235(a915),x76685),x76681))+~P1(f327(x76682,f327(f327(f37(a915),x76684),x76681)))
% 207.24/207.90 [7744]E(x77441,f2(a915))+P1(f327(x77442,x77443))+~P1(f327(x77442,f46(a915,x77444,x77441)))+~E(x77444,f327(f327(f80(a915),f327(f327(f81(a915),x77441),x77445)),x77443))+~P1(f327(f327(f235(a915),x77443),x77441))
% 207.24/207.90 [8035]~P62(x80353)+E(f327(x80351,x80352),f2(x80353))+~P1(f327(f35(x80354),x80355))+E(f327(f327(f9(x80354,x80353),x80351),f327(f327(f23(f922(x80354,a910)),x80355),f327(f327(f309(x80354),x80352),f190(f922(x80354,a910))))),f327(f327(f9(x80354,x80353),x80351),x80355))+P1(f327(f327(f329(x80354),x80352),x80355))
% 207.24/207.90 [8431]~P68(x84311)+~P1(f327(f35(x84312),x84315))+~P1(f327(f35(x84312),x84314))+~E(f327(f327(f103(f922(x84312,a910)),x84314),x84315),f190(f922(x84312,a910)))+E(f327(f327(f80(x84311),f327(f327(f6(x84312,x84311),x84313),x84314)),f327(f327(f6(x84312,x84311),x84313),x84315)),f327(f327(f6(x84312,x84311),x84313),f327(f327(f102(f922(x84312,a910)),x84314),x84315)))
% 207.24/207.90 [8433]~P75(x84331)+~P1(f327(f35(x84332),x84335))+~P1(f327(f35(x84332),x84334))+~E(f327(f327(f103(f922(x84332,a910)),x84334),x84335),f190(f922(x84332,a910)))+E(f327(f327(f81(x84331),f327(f327(f9(x84332,x84331),x84333),x84334)),f327(f327(f9(x84332,x84331),x84333),x84335)),f327(f327(f9(x84332,x84331),x84333),f327(f327(f102(f922(x84332,a910)),x84334),x84335)))
% 207.24/207.90 [8531]~P62(x85313)+E(f327(x85311,x85312),f2(x85313))+~P1(f327(f35(x85314),x85315))+E(f327(f327(f9(x85314,x85313),x85311),f327(f327(f23(f922(x85314,a910)),x85315),f327(f327(f309(x85314),x85312),f190(f922(x85314,a910))))),f327(f327(f291(x85313),f327(f327(f9(x85314,x85313),x85311),x85315)),f327(x85311,x85312)))+~P1(f327(f327(f329(x85314),x85312),x85315))
% 207.24/207.90 [9254]~P6(x92541,x92545,x92544)+~E(f327(f327(f61(x92541),f327(f327(f309(x92541),x92542),f190(f922(x92541,a910)))),x92544),f327(f327(f61(x92541),f327(f327(f309(x92541),x92543),f190(f922(x92541,a910)))),x92544))+~P1(f327(f327(f329(x92541),x92543),x92545))+~P1(f327(f327(f329(x92541),x92542),x92545))+P1(f327(f327(f329(f921(x92541,x92541)),f327(f327(f252(x92541,x92541),x92542),x92543)),x92544))
% 207.24/207.90 [9276]~P6(x92761,x92765,x92763)+E(f327(f327(f61(x92761),f327(f327(f309(x92761),x92762),f190(f922(x92761,a910)))),x92763),f327(f327(f61(x92761),f327(f327(f309(x92761),x92764),f190(f922(x92761,a910)))),x92763))+~P1(f327(f327(f329(x92761),x92764),x92765))+~P1(f327(f327(f329(x92761),x92762),x92765))+~P1(f327(f327(f329(f921(x92761,x92761)),f327(f327(f252(x92761,x92761),x92762),x92764)),x92763))
% 207.24/207.90 [9569]~P75(x95691)+~P1(f327(f35(x95692),x95695))+~P1(f327(f35(x95692),x95694))+~E(f327(f327(f103(f922(x95692,a910)),x95694),x95695),f190(f922(x95692,a910)))+E(f327(f327(f81(x95691),f327(f327(f327(f65(x95691,x95692,f81(x95691)),x95693),f78(x95691)),x95694)),f327(f327(f327(f65(x95691,x95692,f81(x95691)),x95693),f78(x95691)),x95695)),f327(f327(f327(f65(x95691,x95692,f81(x95691)),x95693),f78(x95691)),f327(f327(f102(f922(x95692,a910)),x95694),x95695)))
% 207.24/207.90 [9580]~P68(x95801)+~E(f327(x95803,f374(x95803,x95805,x95804,x95802,x95801)),f2(x95801))+~P1(f327(f35(x95802),x95804))+~P1(f327(f35(x95802),x95805))+E(f327(f327(f80(x95801),f327(f327(f6(x95802,x95801),x95803),x95804)),f327(f327(f6(x95802,x95801),x95803),x95805)),f327(f327(f6(x95802,x95801),x95803),f327(f327(f102(f922(x95802,a910)),x95804),x95805)))
% 207.24/207.90 [9581]~P68(x95811)+~E(f327(x95813,f376(x95813,x95815,x95814,x95812,x95811)),f2(x95811))+~P1(f327(f35(x95812),x95814))+~P1(f327(f35(x95812),x95815))+E(f327(f327(f80(x95811),f327(f327(f6(x95812,x95811),x95813),x95814)),f327(f327(f6(x95812,x95811),x95813),x95815)),f327(f327(f6(x95812,x95811),x95813),f327(f327(f102(f922(x95812,a910)),x95814),x95815)))
% 207.24/207.90 [9582]~P75(x95821)+~E(f327(x95823,f342(x95823,x95825,x95824,x95822,x95821)),f78(x95821))+~P1(f327(f35(x95822),x95824))+~P1(f327(f35(x95822),x95825))+E(f327(f327(f81(x95821),f327(f327(f9(x95822,x95821),x95823),x95824)),f327(f327(f9(x95822,x95821),x95823),x95825)),f327(f327(f9(x95822,x95821),x95823),f327(f327(f102(f922(x95822,a910)),x95824),x95825)))
% 207.24/207.90 [9583]~P75(x95831)+~E(f327(x95833,f347(x95833,x95835,x95834,x95832,x95831)),f78(x95831))+~P1(f327(f35(x95832),x95834))+~P1(f327(f35(x95832),x95835))+E(f327(f327(f81(x95831),f327(f327(f9(x95832,x95831),x95833),x95834)),f327(f327(f9(x95832,x95831),x95833),x95835)),f327(f327(f9(x95832,x95831),x95833),f327(f327(f102(f922(x95832,a910)),x95834),x95835)))
% 207.24/207.90 [9795]~P75(x97951)+~E(f327(x97953,f343(x97953,x97955,x97954,x97952,x97951)),f78(x97951))+~P1(f327(f35(x97952),x97954))+~P1(f327(f35(x97952),x97955))+E(f327(f327(f81(x97951),f327(f327(f327(f65(x97951,x97952,f81(x97951)),x97953),f78(x97951)),x97954)),f327(f327(f327(f65(x97951,x97952,f81(x97951)),x97953),f78(x97951)),x97955)),f327(f327(f327(f65(x97951,x97952,f81(x97951)),x97953),f78(x97951)),f327(f327(f102(f922(x97952,a910)),x97954),x97955)))
% 207.24/207.90 [9906]~P68(x99062)+E(f327(f327(f6(x99061,x99062),x99063),x99064),f327(f327(f6(x99061,x99062),x99063),x99065))+~P1(f327(f35(x99061),x99065))+~P1(f327(f327(f234(f922(x99061,a910)),x99064),x99065))+P1(f327(f327(f329(x99061),f455(x99063,x99064,x99065,x99061,x99062)),f327(f327(f23(f922(x99061,a910)),x99065),x99064)))
% 207.24/207.90 [9907]~P68(x99072)+E(f327(f327(f6(x99071,x99072),x99073),x99074),f327(f327(f6(x99071,x99072),x99073),x99075))+~P1(f327(f35(x99071),x99075))+~P1(f327(f327(f234(f922(x99071,a910)),x99074),x99075))+P1(f327(f327(f329(x99071),f456(x99073,x99074,x99075,x99071,x99072)),f327(f327(f23(f922(x99071,a910)),x99075),x99074)))
% 207.24/207.90 [9908]~P75(x99082)+E(f327(f327(f9(x99081,x99082),x99083),x99084),f327(f327(f9(x99081,x99082),x99083),x99085))+~P1(f327(f35(x99081),x99085))+~P1(f327(f327(f234(f922(x99081,a910)),x99084),x99085))+P1(f327(f327(f329(x99081),f894(x99083,x99084,x99085,x99081,x99082)),f327(f327(f23(f922(x99081,a910)),x99085),x99084)))
% 207.24/207.90 [9909]~P75(x99092)+E(f327(f327(f9(x99091,x99092),x99093),x99094),f327(f327(f9(x99091,x99092),x99093),x99095))+~P1(f327(f35(x99091),x99095))+~P1(f327(f327(f234(f922(x99091,a910)),x99094),x99095))+P1(f327(f327(f329(x99091),f895(x99093,x99094,x99095,x99091,x99092)),f327(f327(f23(f922(x99091,a910)),x99095),x99094)))
% 207.24/207.90 [9927]~P68(x99271)+~P1(f327(f35(x99272),x99274))+~P1(f327(f35(x99272),x99275))+E(f327(f327(f80(x99271),f327(f327(f6(x99272,x99271),x99273),x99274)),f327(f327(f6(x99272,x99271),x99273),x99275)),f327(f327(f6(x99272,x99271),x99273),f327(f327(f102(f922(x99272,a910)),x99274),x99275)))+P1(f327(f327(f329(x99272),f374(x99273,x99275,x99274,x99272,x99271)),f327(f327(f103(f922(x99272,a910)),x99274),x99275)))
% 207.24/207.90 [9928]~P68(x99281)+~P1(f327(f35(x99282),x99284))+~P1(f327(f35(x99282),x99285))+E(f327(f327(f80(x99281),f327(f327(f6(x99282,x99281),x99283),x99284)),f327(f327(f6(x99282,x99281),x99283),x99285)),f327(f327(f6(x99282,x99281),x99283),f327(f327(f102(f922(x99282,a910)),x99284),x99285)))+P1(f327(f327(f329(x99282),f376(x99283,x99285,x99284,x99282,x99281)),f327(f327(f103(f922(x99282,a910)),x99284),x99285)))
% 207.24/207.90 [9929]~P75(x99291)+~P1(f327(f35(x99292),x99294))+~P1(f327(f35(x99292),x99295))+E(f327(f327(f81(x99291),f327(f327(f9(x99292,x99291),x99293),x99294)),f327(f327(f9(x99292,x99291),x99293),x99295)),f327(f327(f9(x99292,x99291),x99293),f327(f327(f102(f922(x99292,a910)),x99294),x99295)))+P1(f327(f327(f329(x99292),f342(x99293,x99295,x99294,x99292,x99291)),f327(f327(f103(f922(x99292,a910)),x99294),x99295)))
% 207.24/207.90 [9930]~P75(x99301)+~P1(f327(f35(x99302),x99304))+~P1(f327(f35(x99302),x99305))+E(f327(f327(f81(x99301),f327(f327(f9(x99302,x99301),x99303),x99304)),f327(f327(f9(x99302,x99301),x99303),x99305)),f327(f327(f9(x99302,x99301),x99303),f327(f327(f102(f922(x99302,a910)),x99304),x99305)))+P1(f327(f327(f329(x99302),f347(x99303,x99305,x99304,x99302,x99301)),f327(f327(f103(f922(x99302,a910)),x99304),x99305)))
% 207.24/207.90 [9936]~P88(x99365)+~P1(f327(f35(x99361),x99364))+P1(f327(f327(f234(x99365),f327(f327(f6(x99361,x99365),x99362),x99363)),f327(f327(f6(x99361,x99365),x99362),x99364)))+~P1(f327(f327(f234(f922(x99361,a910)),x99363),x99364))+P1(f327(f327(f329(x99361),f375(x99362,x99363,x99364,x99361,x99365)),f327(f327(f23(f922(x99361,a910)),x99364),x99363)))
% 207.24/207.90 [9980]~P75(x99801)+~P1(f327(f35(x99802),x99804))+~P1(f327(f35(x99802),x99805))+E(f327(f327(f81(x99801),f327(f327(f327(f65(x99801,x99802,f81(x99801)),x99803),f78(x99801)),x99804)),f327(f327(f327(f65(x99801,x99802,f81(x99801)),x99803),f78(x99801)),x99805)),f327(f327(f327(f65(x99801,x99802,f81(x99801)),x99803),f78(x99801)),f327(f327(f102(f922(x99802,a910)),x99804),x99805)))+P1(f327(f327(f329(x99802),f343(x99803,x99805,x99804,x99802,x99801)),f327(f327(f103(f922(x99802,a910)),x99804),x99805)))
% 207.24/207.90 [8940]~P16(x89401,x89404,x89405)+~P1(f327(f35(x89401),x89402))+E(f327(f327(f23(f922(x89401,a910)),x89402),f327(f327(f309(x89401),x89403),f190(f922(x89401,a910)))),f190(f922(x89401,a910)))+~P1(f327(f327(f329(x89401),x89403),x89402))+E(f327(f327(x89404,x89403),f327(x89405,f327(f327(f23(f922(x89401,a910)),x89402),f327(f327(f309(x89401),x89403),f190(f922(x89401,a910)))))),f327(x89405,x89402))
% 207.24/207.90 [9018]~P16(x90181,x90184,x90185)+~P1(f327(f35(x90181),x90183))+~P1(f327(f35(x90181),x90182))+E(f327(f327(f103(f922(x90181,a910)),x90182),x90183),f190(f922(x90181,a910)))+E(f327(f327(x90184,f327(x90185,f327(f327(f102(f922(x90181,a910)),x90182),x90183))),f327(x90185,f327(f327(f103(f922(x90181,a910)),x90182),x90183))),f327(f327(x90184,f327(x90185,x90182)),f327(x90185,x90183)))
% 207.24/207.90 [9585]~P1(f327(f327(f234(a1),x95854),f2(a1)))+~P1(f327(f327(f235(a1),x95853),x95855))+P1(f327(f327(f234(a1),x95851),x95852))+~P1(f327(f327(f235(a1),x95853),x95854))+~P1(f327(f327(f234(a1),f327(f327(f80(a1),f327(f327(f81(a1),x95853),x95852)),x95855)),f327(f327(f80(a1),f327(f327(f81(a1),x95853),x95851)),x95854)))
% 207.24/207.90 [9587]~P1(f327(f327(f234(a1),f2(a1)),x95875))+P1(f327(f327(f234(a1),x95871),x95872))+~P1(f327(f327(f235(a1),x95873),x95874))+~P1(f327(f327(f235(a1),x95875),x95874))+~P1(f327(f327(f234(a1),f327(f327(f80(a1),f327(f327(f81(a1),x95874),x95871)),x95875)),f327(f327(f80(a1),f327(f327(f81(a1),x95874),x95872)),x95873)))
% 207.24/207.90 [9703]~P62(x97035)+E(f327(x97031,f413(x97031,x97032,x97033,x97034,x97035)),f2(x97035))+~P1(f327(f35(x97034),x97033))+~P1(f327(f35(x97034),x97032))+E(f327(f327(f291(x97035),f327(f327(f81(x97035),f327(f327(f9(x97034,x97035),x97031),x97033)),f327(f327(f9(x97034,x97035),x97031),x97032))),f327(f327(f9(x97034,x97035),x97031),f327(f327(f103(f922(x97034,a910)),x97033),x97032))),f327(f327(f9(x97034,x97035),x97031),f327(f327(f102(f922(x97034,a910)),x97033),x97032)))
% 207.24/207.90 [9972]~P62(x99721)+~P1(f327(f35(x99722),x99724))+~P1(f327(f35(x99722),x99725))+E(f327(f327(f291(x99721),f327(f327(f81(x99721),f327(f327(f9(x99722,x99721),x99723),x99724)),f327(f327(f9(x99722,x99721),x99723),x99725))),f327(f327(f9(x99722,x99721),x99723),f327(f327(f103(f922(x99722,a910)),x99724),x99725))),f327(f327(f9(x99722,x99721),x99723),f327(f327(f102(f922(x99722,a910)),x99724),x99725)))+P1(f327(f327(f329(x99722),f413(x99723,x99725,x99724,x99722,x99721)),f327(f327(f103(f922(x99722,a910)),x99724),x99725)))
% 207.24/207.90 [9295]E(f327(f327(f135(x92951),x92952),x92953),f327(f327(f135(x92951),x92954),x92955))+~E(f327(f327(f176(x92951),f327(f191(f916(x92951)),x92954)),x92952),x92954)+~E(f327(f327(f176(x92951),f327(f191(f916(x92951)),x92952)),x92954),x92952)+~E(x92955,f327(f327(f135(x92951),f327(f327(f139(x92951),f327(f191(f916(x92951)),x92954)),x92952)),x92953))+~E(f327(f327(f135(x92951),f327(f327(f139(x92951),f327(f191(f916(x92951)),x92952)),x92954)),x92955),x92953)
% 207.24/207.90 [9701]~P108(x97012)+E(f327(f327(f149(x97011,x97012,x97013),x97014),f171(x97011,x97014,x97015)),x97015)+~P11(x97012,f327(f327(f155(x97011,x97012),x97013),x97015))+~P1(f327(f327(f329(x97011),x97014),f327(f173(x97011),x97015)))+~E(f327(f142(x97011),f327(f137(x97011,f327(f327(f8(x97012,a910,x97011),f327(a324,f327(x97013,x97014))),x97013)),x97015)),x97014)
% 207.24/207.90 [10037]~P72(x100371)+~P1(f327(f66(x100371,x100371,f81(x100371),x100372,x100373),x100375))+~P1(f327(f327(f329(x100371),x100374),x100373))+P1(f327(f327(f329(x100371),x100372),x100373))+P1(f327(f66(x100371,x100371,f81(x100371),x100374,f327(f327(f309(x100371),x100372),f327(f327(f23(f922(x100371,a910)),x100373),f327(f327(f309(x100371),x100374),f190(f922(x100371,a910)))))),x100375))
% 207.24/207.90 [7442]E(x74421,x74422)+~P23(x74424,x74425,x74423,x74426)+~E(f327(x74423,x74421),f327(x74423,x74422))+~P1(f327(f327(f329(x74424),x74422),x74426))+~P1(f327(f327(f329(x74424),x74421),x74426))
% 207.24/207.90 [6692]~P144(x66924)+E(x66921,x66922)+~E(x66925,x66926)+E(x66923,f2(x66924))+~E(f327(f327(f80(x66924),x66925),f327(f327(f81(x66924),x66923),x66921)),f327(f327(f80(x66924),x66926),f327(f327(f81(x66924),x66923),x66922)))
% 207.24/207.90 [7724]~P108(x77241)+~P3(x77241)+~P1(f327(f327(f235(x77241),x77242),f327(x77245,x77246)))+~P1(f327(f327(f329(x77243),x77246),x77244))+P1(f327(f327(f235(x77241),x77242),f327(f327(f40(x77243,x77241),x77244),x77245)))
% 207.24/207.90 [10033]~P23(x100332,x100331,x100333,x100334)+~P23(x100331,x100332,x100336,x100335)+P24(x100331,x100332,f822(x100333,x100334,x100335,x100336,x100332,x100331),x100335,x100334)+~P1(f327(f327(f234(f922(x100332,a910)),f327(f310(x100331,x100332,x100336),x100335)),x100334))+~P1(f327(f327(f234(f922(x100331,a910)),f327(f310(x100332,x100331,x100333),x100334)),x100335))
% 207.24/207.90 [8402]~P108(x84021)+~P3(x84021)+~P1(f327(f327(f235(x84021),f327(x84024,x84026)),x84025))+~P1(f327(f327(f329(x84022),x84026),x84023))+P1(f327(f327(f235(x84021),f327(f327(f41(x84022,x84021),x84023),x84024)),x84025))
% 207.24/207.90 [8654]~P17(x86542,x86545,x86546,x86541)+~P1(f327(f35(x86542),x86544))+~P1(f327(f35(x86542),x86543))+~E(f327(f327(f103(f922(x86542,a910)),x86543),x86544),f190(f922(x86542,a910)))+E(f327(x86541,f327(f327(f102(f922(x86542,a910)),x86543),x86544)),f327(f72(x86545,x86545,x86545,f327(x86541,x86543)),f327(x86541,x86544)))
% 207.24/207.90 [10247]~P75(x102471)+~E(f810(x102474,x102475,x102473,x102476,x102472,x102471),f811(x102474,x102475,x102473,x102476,x102472,x102471))+~P1(f327(f35(x102472),x102476))+E(f327(f327(f327(f65(x102471,x102472,f81(x102471)),f327(f327(f8(f922(x102473,a910),x102471,x102472),f327(f327(f65(x102471,x102473,f81(x102471)),x102474),f78(x102471))),x102475)),f78(x102471)),x102476),f327(f327(f327(f65(x102471,x102473,f81(x102471)),x102474),f78(x102471)),f327(f327(f40(x102472,f922(x102473,a910)),x102476),x102475)))+P1(f327(f327(f329(x102472),f809(x102474,x102475,x102473,x102476,x102472,x102471)),x102476))
% 207.24/207.90 [10277]~P75(x102771)+~E(f810(x102774,x102775,x102773,x102776,x102772,x102771),f811(x102774,x102775,x102773,x102776,x102772,x102771))+~P1(f327(f35(x102772),x102776))+E(f327(f327(f327(f65(x102771,x102772,f81(x102771)),f327(f327(f8(f922(x102773,a910),x102771,x102772),f327(f327(f65(x102771,x102773,f81(x102771)),x102774),f78(x102771))),x102775)),f78(x102771)),x102776),f327(f327(f327(f65(x102771,x102773,f81(x102771)),x102774),f78(x102771)),f327(f327(f40(x102772,f922(x102773,a910)),x102776),x102775)))+~P1(f327(f35(x102773),f327(x102775,f809(x102774,x102775,x102773,x102776,x102772,x102771))))
% 207.24/207.90 [10280]~P75(x102801)+~P1(f327(f35(x102802),x102806))+E(f327(f327(f327(f65(x102801,x102802,f81(x102801)),f327(f327(f8(f922(x102803,a910),x102801,x102802),f327(f327(f65(x102801,x102803,f81(x102801)),x102804),f78(x102801))),x102805)),f78(x102801)),x102806),f327(f327(f327(f65(x102801,x102803,f81(x102801)),x102804),f78(x102801)),f327(f327(f40(x102802,f922(x102803,a910)),x102806),x102805)))+P1(f327(f327(f329(x102802),f809(x102804,x102805,x102803,x102806,x102802,x102801)),x102806))+P1(f327(f327(f329(x102802),f811(x102804,x102805,x102803,x102806,x102802,x102801)),x102806))
% 207.24/207.90 [10281]~P75(x102811)+~P1(f327(f35(x102812),x102816))+E(f327(f327(f327(f65(x102811,x102812,f81(x102811)),f327(f327(f8(f922(x102813,a910),x102811,x102812),f327(f327(f65(x102811,x102813,f81(x102811)),x102814),f78(x102811))),x102815)),f78(x102811)),x102816),f327(f327(f327(f65(x102811,x102813,f81(x102811)),x102814),f78(x102811)),f327(f327(f40(x102812,f922(x102813,a910)),x102816),x102815)))+P1(f327(f327(f329(x102812),f809(x102814,x102815,x102813,x102816,x102812,x102811)),x102816))+P1(f327(f327(f329(x102812),f810(x102814,x102815,x102813,x102816,x102812,x102811)),x102816))
% 207.24/207.90 [10301]~P75(x103011)+~P1(f327(f35(x103012),x103016))+E(f327(f327(f327(f65(x103011,x103012,f81(x103011)),f327(f327(f8(f922(x103013,a910),x103011,x103012),f327(f327(f65(x103011,x103013,f81(x103011)),x103014),f78(x103011))),x103015)),f78(x103011)),x103016),f327(f327(f327(f65(x103011,x103013,f81(x103011)),x103014),f78(x103011)),f327(f327(f40(x103012,f922(x103013,a910)),x103016),x103015)))+P1(f327(f327(f329(x103012),f811(x103014,x103015,x103013,x103016,x103012,x103011)),x103016))+~P1(f327(f35(x103013),f327(x103015,f809(x103014,x103015,x103013,x103016,x103012,x103011))))
% 207.24/207.90 [10302]~P75(x103021)+~P1(f327(f35(x103022),x103026))+E(f327(f327(f327(f65(x103021,x103022,f81(x103021)),f327(f327(f8(f922(x103023,a910),x103021,x103022),f327(f327(f65(x103021,x103023,f81(x103021)),x103024),f78(x103021))),x103025)),f78(x103021)),x103026),f327(f327(f327(f65(x103021,x103023,f81(x103021)),x103024),f78(x103021)),f327(f327(f40(x103022,f922(x103023,a910)),x103026),x103025)))+P1(f327(f327(f329(x103022),f810(x103024,x103025,x103023,x103026,x103022,x103021)),x103026))+~P1(f327(f35(x103023),f327(x103025,f809(x103024,x103025,x103023,x103026,x103022,x103021))))
% 207.24/207.90 [10313]~P75(x103131)+~E(f327(f327(f103(f922(x103133,a910)),f327(x103135,f811(x103134,x103135,x103133,x103136,x103132,x103131))),f327(x103135,f810(x103134,x103135,x103133,x103136,x103132,x103131))),f190(f922(x103133,a910)))+~P1(f327(f35(x103132),x103136))+E(f327(f327(f327(f65(x103131,x103132,f81(x103131)),f327(f327(f8(f922(x103133,a910),x103131,x103132),f327(f327(f65(x103131,x103133,f81(x103131)),x103134),f78(x103131))),x103135)),f78(x103131)),x103136),f327(f327(f327(f65(x103131,x103133,f81(x103131)),x103134),f78(x103131)),f327(f327(f40(x103132,f922(x103133,a910)),x103136),x103135)))+P1(f327(f327(f329(x103132),f809(x103134,x103135,x103133,x103136,x103132,x103131)),x103136))
% 207.24/207.90 [10324]~P75(x103241)+~E(f327(f327(f103(f922(x103243,a910)),f327(x103245,f811(x103244,x103245,x103243,x103246,x103242,x103241))),f327(x103245,f810(x103244,x103245,x103243,x103246,x103242,x103241))),f190(f922(x103243,a910)))+~P1(f327(f35(x103242),x103246))+E(f327(f327(f327(f65(x103241,x103242,f81(x103241)),f327(f327(f8(f922(x103243,a910),x103241,x103242),f327(f327(f65(x103241,x103243,f81(x103241)),x103244),f78(x103241))),x103245)),f78(x103241)),x103246),f327(f327(f327(f65(x103241,x103243,f81(x103241)),x103244),f78(x103241)),f327(f327(f40(x103242,f922(x103243,a910)),x103246),x103245)))+~P1(f327(f35(x103243),f327(x103245,f809(x103244,x103245,x103243,x103246,x103242,x103241))))
% 207.24/207.90 [9384]~P121(x93841)+~P118(x93841)+~P1(f327(f327(f287(x93841),x93842),x93845))+~P1(f327(f327(f287(x93841),x93842),f327(f327(f80(x93841),x93843),x93846)))+P1(f327(f327(f287(x93841),x93842),f327(f327(f80(x93841),f327(f327(f23(x93841),x93843),f327(f327(f81(x93841),x93844),x93845))),x93846)))
% 207.24/207.90 [9574]~P121(x95741)+~P118(x95741)+~P1(f327(f327(f287(x95741),x95742),x95745))+P1(f327(f327(f287(x95741),x95742),f327(f327(f80(x95741),x95743),x95744)))+~P1(f327(f327(f287(x95741),x95742),f327(f327(f80(x95741),f327(f327(f23(x95741),x95743),f327(f327(f81(x95741),x95746),x95745))),x95744)))
% 207.24/207.90 [8988]E(x89881,x89882)+~P54(x89884,x89885,x89886,x89883,x89887)+~E(f327(x89883,x89881),f327(x89883,x89882))+~P1(f327(f327(f329(x89885),x89882),x89887))+~P1(f327(f327(f329(x89885),x89881),x89887))
% 207.24/207.90 [10291]~P1(f327(x102912,x102914))+~E(x102915,f327(f137(x102911,x102912),x102917))+E(f327(f137(x102911,x102912),x102913),f327(f327(f152(x102911),x102914),x102915))+~E(x102913,f327(f327(f135(x102911),x102916),f327(f327(f152(x102911),x102914),x102917)))+P1(f327(x102912,f743(x102915,x102914,x102913,x102912,x102911,x102916,x102917)))
% 207.24/207.90 [10292]~P1(f327(x102924,x102922))+~E(x102923,f327(f137(x102921,x102924),x102927))+E(f327(f327(f152(x102921),x102922),x102923),f327(f137(x102921,x102924),x102925))+~E(x102925,f327(f327(f135(x102921),x102926),f327(f327(f152(x102921),x102922),x102927)))+P1(f327(x102924,f742(x102925,x102924,x102923,x102922,x102921,x102926,x102927)))
% 207.24/207.90 [10336]~P1(f327(x103362,x103364))+~E(x103365,f327(f137(x103361,x103362),x103367))+E(f327(f137(x103361,x103362),x103363),f327(f327(f152(x103361),x103364),x103365))+~E(x103363,f327(f327(f135(x103361),x103366),f327(f327(f152(x103361),x103364),x103367)))+P1(f327(f327(f329(x103361),f743(x103365,x103364,x103363,x103362,x103361,x103366,x103367)),f327(f173(x103361),x103366)))
% 207.24/207.90 [10337]~P1(f327(x103374,x103372))+~E(x103373,f327(f137(x103371,x103374),x103377))+E(f327(f327(f152(x103371),x103372),x103373),f327(f137(x103371,x103374),x103375))+~E(x103375,f327(f327(f135(x103371),x103376),f327(f327(f152(x103371),x103372),x103377)))+P1(f327(f327(f329(x103371),f742(x103375,x103374,x103373,x103372,x103371,x103376,x103377)),f327(f173(x103371),x103376)))
% 207.24/207.90 [10341]~P6(x103411,x103417,x103416)+~P9(x103411,f922(x103415,a910),x103416,x103414)+P1(f327(f327(f329(x103411),f511(x103412,x103413,x103414,x103415,x103416,x103417,x103411)),x103417))+~P1(f327(f327(f329(f922(x103411,a910)),x103413),f327(f327(f61(x103411),x103417),x103416)))+P1(f327(f327(f329(f922(x103415,a910)),f327(f327(f40(x103411,f922(x103415,a910)),x103413),x103414)),x103412))
% 207.24/207.90 [10398]~P6(x103982,x103986,x103987)+~P9(x103982,f922(x103981,a910),x103987,x103984)+~P1(f327(f327(f329(f922(x103982,a910)),x103983),f327(f327(f61(x103982),x103986),x103987)))+~P1(f327(f327(f329(f922(x103981,a910)),f327(x103984,f511(x103985,x103983,x103984,x103981,x103987,x103986,x103982))),x103985))+P1(f327(f327(f329(f922(x103981,a910)),f327(f327(f40(x103982,f922(x103981,a910)),x103983),x103984)),x103985))
% 207.24/207.90 [8573]~P75(x85732)+~P23(x85731,x85735,x85738,x85734)+~E(x85733,f327(f72(x85735,x85732,x85731,x85736),x85738))+~E(x85737,f327(f310(x85731,x85735,x85738),x85734))+E(f327(f327(f9(x85731,x85732),x85733),x85734),f327(f327(f9(x85735,x85732),x85736),x85737))
% 207.24/207.90 [10402]~P75(x104022)+~P23(x104025,x104021,x104028,x104027)+~E(f327(x104026,f593(x104023,x104026,x104024,x104027,x104028,x104021,x104025,x104022)),f327(f327(f72(x104021,x104022,x104025,x104023),x104028),f593(x104023,x104026,x104024,x104027,x104028,x104021,x104025,x104022)))+~E(x104024,f327(f310(x104025,x104021,x104028),x104027))+E(f327(f327(f9(x104021,x104022),x104023),x104024),f327(f327(f9(x104025,x104022),x104026),x104027))
% 207.24/207.90 [10405]~P68(x104052)+~P23(x104051,x104055,x104058,x104054)+~E(x104057,f327(f310(x104051,x104055,x104058),x104054))+E(f327(f327(f6(x104051,x104052),x104053),x104054),f327(f327(f6(x104055,x104052),x104056),x104057))+P1(f327(f327(f329(x104051),f626(x104056,x104053,x104057,x104054,x104058,x104055,x104051,x104052)),x104054))
% 207.24/207.90 [10406]~P75(x104062)+~P23(x104061,x104065,x104068,x104064)+~E(x104067,f327(f310(x104061,x104065,x104068),x104064))+E(f327(f327(f9(x104061,x104062),x104063),x104064),f327(f327(f9(x104065,x104062),x104066),x104067))+P1(f327(f327(f329(x104061),f593(x104066,x104063,x104067,x104064,x104068,x104065,x104061,x104062)),x104064))
% 207.24/207.90 [10411]~P68(x104112)+~P23(x104115,x104111,x104118,x104117)+~E(x104114,f327(f310(x104115,x104111,x104118),x104117))+~E(f327(x104116,f626(x104113,x104116,x104114,x104117,x104118,x104111,x104115,x104112)),f327(x104113,f327(x104118,f626(x104113,x104116,x104114,x104117,x104118,x104111,x104115,x104112))))+E(f327(f327(f6(x104111,x104112),x104113),x104114),f327(f327(f6(x104115,x104112),x104116),x104117))
% 207.24/207.90 [9868]~P21(x98686,x98682,x98685,x98687,x98688,x98681)+~P1(f327(f35(x98682),x98684))+~P1(f327(f35(x98682),x98683))+~E(f327(f327(f103(f922(x98682,a910)),x98683),x98684),f190(f922(x98682,a910)))+E(f327(x98681,f327(f327(f102(f922(x98682,a910)),x98683),x98684)),f327(f327(x98685,f327(x98681,x98683)),f327(x98681,x98684)))
% 207.24/207.90 [10274]~P21(x102748,x102742,x102745,x102747,x102746,x102741)+~E(f327(x102746,f485(x102744,x102743,x102741,x102746,x102747,x102745,x102742)),x102747)+~P1(f327(f35(x102742),x102743))+~P1(f327(f35(x102742),x102744))+E(f327(x102741,f327(f327(f102(f922(x102742,a910)),x102743),x102744)),f327(f327(x102745,f327(x102741,x102743)),f327(x102741,x102744)))
% 207.24/207.90 [10348]~P21(x103488,x103482,x103485,x103487,x103486,x103481)+~P1(f327(f35(x103482),x103483))+~P1(f327(f35(x103482),x103484))+E(f327(x103481,f327(f327(f102(f922(x103482,a910)),x103483),x103484)),f327(f327(x103485,f327(x103481,x103483)),f327(x103481,x103484)))+P1(f327(f327(f329(x103482),f485(x103484,x103483,x103481,x103486,x103487,x103485,x103482)),f327(f327(f103(f922(x103482,a910)),x103483),x103484)))
% 207.24/207.90 [10024]~P6(x100244,x100248,x100245)+~P6(x100241,x100249,x100243)+~P10(x100241,x100244,f922(x100242,a910),x100243,x100245,x100247)+P9(x100241,f922(x100242,a910),x100243,f327(f327(f8(f922(x100244,f922(x100242,a910)),f922(x100242,a910),x100241),f327(f40(x100244,f922(x100242,a910)),f327(f285(x100244,x100244,x100245),f327(f327(f309(x100244),x100246),f190(f922(x100244,a910)))))),x100247))+~P1(f327(f327(f329(x100244),x100246),x100248))
% 207.24/207.90 [5589]~P108(x55893)+~P11(x55893,x55891)+E(x55891,f720(x55892,x55893))+~E(f327(f173(x55893),x55891),x55892)+~P1(f327(f35(x55893),x55892))+~P1(f327(f138(x55893),x55891))
% 207.24/207.90 [7433]P13(x74331,x74332)+~E(f327(x74332,f802(x74332)),f327(x74332,f803(x74332)))+~P1(f327(f327(x74332,f802(x74332)),f802(x74332)))+~P1(f327(f327(x74332,f802(x74332)),f803(x74332)))+~P1(f327(f327(x74332,f803(x74332)),f803(x74332)))+~P1(f327(f327(x74332,x74333),x74333))
% 207.24/207.90 [5213]~P116(x52132)+~P129(x52132)+~P134(x52132)+~P145(x52132)+E(x52131,f2(x52132))+~E(f327(f327(f244(x52132),x52131),x52133),f2(x52132))
% 207.24/207.90 [5214]~P116(x52142)+~P129(x52142)+~P134(x52142)+~P145(x52142)+~E(x52141,f2(a915))+~E(f327(f327(f244(x52142),x52143),x52141),f2(x52142))
% 207.24/207.90 [6674]~P88(x66741)+~E(x66743,f2(x66741))+~E(x66742,f2(x66741))+E(f327(f327(f80(x66741),x66742),x66743),f2(x66741))+~P1(f327(f327(f234(x66741),f2(x66741)),x66743))+~P1(f327(f327(f234(x66741),f2(x66741)),x66742))
% 207.24/207.90 [9056]~E(f327(f251(a915,a915),x90563),f2(a915))+~E(x90561,f327(f327(f80(a915),f327(f327(f81(a915),f327(f251(a915,a915),x90563)),x90562)),f327(f256(a915,a915),x90563)))+P1(f327(f49(x90561,x90562),x90563))+~P1(f327(f327(f234(a915),f327(f256(a915,a915),x90563)),f2(a915)))+P1(f327(f327(f235(a915),f2(a915)),x90562))+~P1(f327(f327(f235(a915),x90562),f327(f256(a915,a915),x90563)))
% 207.24/207.90 [9064]E(x90641,f2(a915))+~E(x90642,f327(f327(f80(a915),f327(f327(f81(a915),f327(f251(a915,a915),x90643)),x90641)),f327(f256(a915,a915),x90643)))+P1(f327(f49(x90642,x90641),x90643))+~P1(f327(f327(f235(a915),f2(a915)),x90641))+~P1(f327(f327(f234(a915),f2(a915)),f327(f256(a915,a915),x90643)))+~P1(f327(f327(f235(a915),f327(f256(a915,a915),x90643)),x90641))
% 207.24/207.90 [9082]~E(f327(f251(a915,a915),x90823),f2(a915))+~E(x90821,f327(f327(f80(a915),f327(f327(f81(a915),f327(f251(a915,a915),x90823)),x90822)),f327(f256(a915,a915),x90823)))+P1(f327(f49(x90821,x90822),x90823))+~P1(f327(f327(f235(a915),f2(a915)),x90822))+~P1(f327(f327(f234(a915),f2(a915)),f327(f256(a915,a915),x90823)))+~P1(f327(f327(f235(a915),f327(f256(a915,a915),x90823)),x90822))
% 207.24/207.90 [7057]~P108(x70572)+E(x70571,f190(f922(x70572,a910)))+E(x70573,f190(f922(x70572,a910)))+~P1(f327(f35(x70572),x70571))+~P1(f327(f35(x70572),x70573))+E(f14(x70572,f327(f327(f102(f922(x70572,a910)),x70573),x70571)),f327(f327(f189(x70572),f14(x70572,x70573)),f14(x70572,x70571)))
% 207.24/207.90 [7058]~P108(x70582)+E(x70581,f190(f922(x70582,a910)))+E(x70583,f190(f922(x70582,a910)))+~P1(f327(f35(x70582),x70581))+~P1(f327(f35(x70582),x70583))+E(f15(x70582,f327(f327(f102(f922(x70582,a910)),x70583),x70581)),f327(f327(f238(x70582),f15(x70582,x70583)),f15(x70582,x70581)))
% 207.24/207.90 [7059]~P96(x70592)+E(x70591,f190(f922(x70592,a910)))+E(x70593,f190(f922(x70592,a910)))+~P1(f327(f35(x70592),x70591))+~P1(f327(f35(x70592),x70593))+E(f13(x70592,f327(f327(f102(f922(x70592,a910)),x70593),x70591)),f327(f327(f102(x70592),f13(x70592,x70593)),f13(x70592,x70591)))
% 207.24/207.90 [7060]~P96(x70602)+E(x70601,f190(f922(x70602,a910)))+E(x70603,f190(f922(x70602,a910)))+~P1(f327(f35(x70602),x70601))+~P1(f327(f35(x70602),x70603))+E(f10(x70602,f327(f327(f102(f922(x70602,a910)),x70603),x70601)),f327(f327(f103(x70602),f10(x70602,x70603)),f10(x70602,x70601)))
% 207.24/207.90 [7699]~P95(x76992)+E(x76991,f190(f922(x76992,a910)))+E(x76993,f190(f922(x76992,a910)))+~P1(f327(f35(x76992),x76991))+~P1(f327(f35(x76992),x76993))+E(f327(f327(f81(x76992),f327(f63(x76992,f81(x76992)),x76993)),f327(f63(x76992,f81(x76992)),x76991)),f327(f63(x76992,f81(x76992)),f327(f327(f102(f922(x76992,a910)),x76993),x76991)))
% 207.24/207.90 [7860]~P108(x78602)+E(x78601,f190(f922(x78602,a910)))+E(x78603,f190(f922(x78602,a910)))+~P1(f327(f35(x78602),x78601))+~P1(f327(f35(x78602),x78603))+E(f327(f327(f189(x78602),f11(x78602,f189(x78602),x78603)),f11(x78602,f189(x78602),x78601)),f11(x78602,f189(x78602),f327(f327(f102(f922(x78602,a910)),x78603),x78601)))
% 207.24/207.90 [7861]~P108(x78612)+E(x78611,f190(f922(x78612,a910)))+E(x78613,f190(f922(x78612,a910)))+~P1(f327(f35(x78612),x78611))+~P1(f327(f35(x78612),x78613))+E(f327(f327(f238(x78612),f12(x78612,f238(x78612),x78613)),f12(x78612,f238(x78612),x78611)),f12(x78612,f238(x78612),f327(f327(f102(f922(x78612,a910)),x78613),x78611)))
% 207.24/207.90 [8889]~P1(f327(x88891,x88893))+P1(f327(x88891,f443(x88891,x88892)))+P1(f327(x88891,f435(x88891,x88892)))+~P1(f327(f327(f235(a1),f2(a1)),x88892))+~P1(f327(f327(f329(a1),x88893),f303(a1,f78(a1),x88892)))+P1(f327(x88891,f327(f327(f23(a1),f435(x88891,x88892)),f327(f327(f81(a1),f442(x88891,x88892)),x88892))))
% 207.24/207.90 [9194]~P1(f327(x91941,x91943))+~P1(f327(x91941,f435(x91941,x91942)))+P1(f327(x91941,f443(x91941,x91942)))+~P1(f327(f327(f235(a1),f2(a1)),x91942))+~P1(f327(f327(f329(a1),x91943),f303(a1,f78(a1),x91942)))+~P1(f327(x91941,f327(f327(f23(a1),f435(x91941,x91942)),f327(f327(f81(a1),f442(x91941,x91942)),x91942))))
% 207.24/207.90 [10438]~P100(x104382)+E(x104381,f190(f922(x104382,a910)))+E(x104383,f190(f922(x104382,a910)))+~P1(f327(f35(x104382),x104381))+~P1(f327(f35(x104382),x104383))+E(f10(x104382,f327(f262(x104382),f327(f327(f8(f922(x104382,a910),a910,x104382),f87(x104382)),f327(f327(f8(f922(x104382,f922(x104382,a910)),f922(x104382,a910),x104382),f327(f8(f922(x104382,a910),a910,x104382),f87(x104382))),f327(f327(f7(x104382,f922(x104382,f922(x104382,a910)),f922(x104382,f922(x104382,a910))),f327(f327(f8(f922(x104382,f922(f922(x104382,a910),f922(x104382,a910))),f922(f922(x104382,f922(x104382,a910)),f922(x104382,f922(x104382,a910))),x104382),f18(x104382,f922(x104382,a910),f922(x104382,a910))),f327(f327(f8(f922(x104382,f922(x104382,f922(a910,a910))),f922(x104382,f922(f922(x104382,a910),f922(x104382,a910))),x104382),f327(f8(f922(x104382,f922(a910,a910)),f922(f922(x104382,a910),f922(x104382,a910)),x104382),f18(x104382,a910,a910))),f327(f327(f8(f922(x104382,f922(x104382,a910)),f922(x104382,f922(x104382,f922(a910,a910))),x104382),f327(f8(f922(x104382,a910),f922(x104382,f922(a910,a910)),x104382),f327(f8(a910,f922(a910,a910),x104382),a325))),f327(f327(f7(x104382,f922(x104382,f922(x104382,x104382)),f922(x104382,f922(x104382,a910))),f327(f327(f8(f922(f922(x104382,x104382),f922(x104382,a910)),f922(f922(x104382,f922(x104382,x104382)),f922(x104382,f922(x104382,a910))),x104382),f8(f922(x104382,x104382),f922(x104382,a910),x104382)),f327(f327(f8(f922(x104382,a910),f922(f922(x104382,x104382),f922(x104382,a910)),x104382),f8(x104382,a910,x104382)),a324))),f102(x104382)))))),f327(f327(f7(x104382,f922(x104382,a910),f922(x104382,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x104382,a910),f922(x104382,a910)),x104382),f8(a910,a910,x104382)),f327(f327(f8(a910,f922(a910,a910),x104382),a325),f327(f327(f7(x104382,f922(x104382,a910),a910),f329(x104382)),x104383)))),f327(f327(f7(x104382,f922(x104382,a910),a910),f329(x104382)),x104381))))))),f327(f327(f102(x104382),f10(x104382,x104383)),f10(x104382,x104381)))
% 207.24/207.90 [10439]~P100(x104392)+E(x104391,f190(f922(x104392,a910)))+E(x104393,f190(f922(x104392,a910)))+~P1(f327(f35(x104392),x104391))+~P1(f327(f35(x104392),x104393))+E(f13(x104392,f327(f262(x104392),f327(f327(f8(f922(x104392,a910),a910,x104392),f87(x104392)),f327(f327(f8(f922(x104392,f922(x104392,a910)),f922(x104392,a910),x104392),f327(f8(f922(x104392,a910),a910,x104392),f87(x104392))),f327(f327(f7(x104392,f922(x104392,f922(x104392,a910)),f922(x104392,f922(x104392,a910))),f327(f327(f8(f922(x104392,f922(f922(x104392,a910),f922(x104392,a910))),f922(f922(x104392,f922(x104392,a910)),f922(x104392,f922(x104392,a910))),x104392),f18(x104392,f922(x104392,a910),f922(x104392,a910))),f327(f327(f8(f922(x104392,f922(x104392,f922(a910,a910))),f922(x104392,f922(f922(x104392,a910),f922(x104392,a910))),x104392),f327(f8(f922(x104392,f922(a910,a910)),f922(f922(x104392,a910),f922(x104392,a910)),x104392),f18(x104392,a910,a910))),f327(f327(f8(f922(x104392,f922(x104392,a910)),f922(x104392,f922(x104392,f922(a910,a910))),x104392),f327(f8(f922(x104392,a910),f922(x104392,f922(a910,a910)),x104392),f327(f8(a910,f922(a910,a910),x104392),a325))),f327(f327(f7(x104392,f922(x104392,f922(x104392,x104392)),f922(x104392,f922(x104392,a910))),f327(f327(f8(f922(f922(x104392,x104392),f922(x104392,a910)),f922(f922(x104392,f922(x104392,x104392)),f922(x104392,f922(x104392,a910))),x104392),f8(f922(x104392,x104392),f922(x104392,a910),x104392)),f327(f327(f8(f922(x104392,a910),f922(f922(x104392,x104392),f922(x104392,a910)),x104392),f8(x104392,a910,x104392)),a324))),f103(x104392)))))),f327(f327(f7(x104392,f922(x104392,a910),f922(x104392,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x104392,a910),f922(x104392,a910)),x104392),f8(a910,a910,x104392)),f327(f327(f8(a910,f922(a910,a910),x104392),a325),f327(f327(f7(x104392,f922(x104392,a910),a910),f329(x104392)),x104393)))),f327(f327(f7(x104392,f922(x104392,a910),a910),f329(x104392)),x104391))))))),f327(f327(f103(x104392),f13(x104392,x104393)),f13(x104392,x104391)))
% 207.24/207.90 [10440]~P108(x104402)+E(x104401,f190(f922(x104402,a910)))+E(x104403,f190(f922(x104402,a910)))+~P1(f327(f35(x104402),x104401))+~P1(f327(f35(x104402),x104403))+E(f11(x104402,f189(x104402),f327(f262(x104402),f327(f327(f8(f922(x104402,a910),a910,x104402),f87(x104402)),f327(f327(f8(f922(x104402,f922(x104402,a910)),f922(x104402,a910),x104402),f327(f8(f922(x104402,a910),a910,x104402),f87(x104402))),f327(f327(f7(x104402,f922(x104402,f922(x104402,a910)),f922(x104402,f922(x104402,a910))),f327(f327(f8(f922(x104402,f922(f922(x104402,a910),f922(x104402,a910))),f922(f922(x104402,f922(x104402,a910)),f922(x104402,f922(x104402,a910))),x104402),f18(x104402,f922(x104402,a910),f922(x104402,a910))),f327(f327(f8(f922(x104402,f922(x104402,f922(a910,a910))),f922(x104402,f922(f922(x104402,a910),f922(x104402,a910))),x104402),f327(f8(f922(x104402,f922(a910,a910)),f922(f922(x104402,a910),f922(x104402,a910)),x104402),f18(x104402,a910,a910))),f327(f327(f8(f922(x104402,f922(x104402,a910)),f922(x104402,f922(x104402,f922(a910,a910))),x104402),f327(f8(f922(x104402,a910),f922(x104402,f922(a910,a910)),x104402),f327(f8(a910,f922(a910,a910),x104402),a325))),f327(f327(f7(x104402,f922(x104402,f922(x104402,x104402)),f922(x104402,f922(x104402,a910))),f327(f327(f8(f922(f922(x104402,x104402),f922(x104402,a910)),f922(f922(x104402,f922(x104402,x104402)),f922(x104402,f922(x104402,a910))),x104402),f8(f922(x104402,x104402),f922(x104402,a910),x104402)),f327(f327(f8(f922(x104402,a910),f922(f922(x104402,x104402),f922(x104402,a910)),x104402),f8(x104402,a910,x104402)),a324))),f238(x104402)))))),f327(f327(f7(x104402,f922(x104402,a910),f922(x104402,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x104402,a910),f922(x104402,a910)),x104402),f8(a910,a910,x104402)),f327(f327(f8(a910,f922(a910,a910),x104402),a325),f327(f327(f7(x104402,f922(x104402,a910),a910),f329(x104402)),x104403)))),f327(f327(f7(x104402,f922(x104402,a910),a910),f329(x104402)),x104401))))))),f327(f327(f238(x104402),f11(x104402,f189(x104402),x104403)),f11(x104402,f189(x104402),x104401)))
% 207.24/207.90 [10441]~P108(x104412)+E(x104411,f190(f922(x104412,a910)))+E(x104413,f190(f922(x104412,a910)))+~P1(f327(f35(x104412),x104411))+~P1(f327(f35(x104412),x104413))+E(f12(x104412,f238(x104412),f327(f262(x104412),f327(f327(f8(f922(x104412,a910),a910,x104412),f87(x104412)),f327(f327(f8(f922(x104412,f922(x104412,a910)),f922(x104412,a910),x104412),f327(f8(f922(x104412,a910),a910,x104412),f87(x104412))),f327(f327(f7(x104412,f922(x104412,f922(x104412,a910)),f922(x104412,f922(x104412,a910))),f327(f327(f8(f922(x104412,f922(f922(x104412,a910),f922(x104412,a910))),f922(f922(x104412,f922(x104412,a910)),f922(x104412,f922(x104412,a910))),x104412),f18(x104412,f922(x104412,a910),f922(x104412,a910))),f327(f327(f8(f922(x104412,f922(x104412,f922(a910,a910))),f922(x104412,f922(f922(x104412,a910),f922(x104412,a910))),x104412),f327(f8(f922(x104412,f922(a910,a910)),f922(f922(x104412,a910),f922(x104412,a910)),x104412),f18(x104412,a910,a910))),f327(f327(f8(f922(x104412,f922(x104412,a910)),f922(x104412,f922(x104412,f922(a910,a910))),x104412),f327(f8(f922(x104412,a910),f922(x104412,f922(a910,a910)),x104412),f327(f8(a910,f922(a910,a910),x104412),a325))),f327(f327(f7(x104412,f922(x104412,f922(x104412,x104412)),f922(x104412,f922(x104412,a910))),f327(f327(f8(f922(f922(x104412,x104412),f922(x104412,a910)),f922(f922(x104412,f922(x104412,x104412)),f922(x104412,f922(x104412,a910))),x104412),f8(f922(x104412,x104412),f922(x104412,a910),x104412)),f327(f327(f8(f922(x104412,a910),f922(f922(x104412,x104412),f922(x104412,a910)),x104412),f8(x104412,a910,x104412)),a324))),f189(x104412)))))),f327(f327(f7(x104412,f922(x104412,a910),f922(x104412,a910)),f327(f327(f8(f922(a910,a910),f922(f922(x104412,a910),f922(x104412,a910)),x104412),f8(a910,a910,x104412)),f327(f327(f8(a910,f922(a910,a910),x104412),a325),f327(f327(f7(x104412,f922(x104412,a910),a910),f329(x104412)),x104413)))),f327(f327(f7(x104412,f922(x104412,a910),a910),f329(x104412)),x104411))))))),f327(f327(f189(x104412),f12(x104412,f238(x104412),x104413)),f12(x104412,f238(x104412),x104411)))
% 207.24/207.90 [7389]~P126(x73893)+E(x73891,x73892)+~E(f327(f327(f244(x73893),x73891),x73894),f327(f327(f244(x73893),x73892),x73894))+~P1(f327(f327(f234(x73893),f2(x73893)),x73892))+~P1(f327(f327(f234(x73893),f2(x73893)),x73891))+~P1(f327(f327(f235(a915),f2(a915)),x73894))
% 207.24/207.90 [7660]~P108(x76602)+E(x76601,f190(f922(x76602,a910)))+~P1(f327(f35(x76602),x76601))+~P1(f327(f327(f329(x76602),x76604),x76601))+P1(f327(f327(f234(x76602),x76603),x76604))+~P1(f327(f327(f234(x76602),x76603),f327(f63(x76602,f238(x76602)),x76601)))
% 207.24/207.90 [7661]~P102(x76612)+E(x76611,f190(f922(x76612,a910)))+~P1(f327(f35(x76612),x76611))+~P1(f327(f327(f329(x76612),x76614),x76611))+P1(f327(f327(f234(x76612),x76613),x76614))+~P1(f327(f327(f234(x76612),x76613),f327(f63(x76612,f103(x76612)),x76611)))
% 207.24/207.90 [7662]~P108(x76622)+E(x76621,f190(f922(x76622,a910)))+~P1(f327(f35(x76622),x76621))+~P1(f327(f327(f329(x76622),x76624),x76621))+P1(f327(f327(f235(x76622),x76623),x76624))+~P1(f327(f327(f235(x76622),x76623),f327(f63(x76622,f238(x76622)),x76621)))
% 207.24/207.90 [7567]E(x75671,f2(a1))+E(f327(f327(f37(a1),x75672),x75671),x75673)+~P1(f327(f327(f234(a1),x75674),f2(a1)))+~E(x75672,f327(f327(f80(a1),f327(f327(f81(a1),x75671),x75673)),x75674))+P1(f327(f327(f235(a1),f2(a1)),x75671))+~P1(f327(f327(f235(a1),x75671),x75674))
% 207.24/207.90 [7582]E(f46(a1,x75822,x75821),x75823)+E(x75821,f2(a1))+~P1(f327(f327(f234(a1),x75823),f2(a1)))+~E(x75822,f327(f327(f80(a1),f327(f327(f81(a1),x75821),x75824)),x75823))+P1(f327(f327(f235(a1),f2(a1)),x75821))+~P1(f327(f327(f235(a1),x75821),x75823))
% 207.24/207.90 [7698]E(x76981,f2(a1))+E(f327(f327(f37(a1),x76982),x76981),x76983)+~E(x76982,f327(f327(f80(a1),f327(f327(f81(a1),x76981),x76983)),x76984))+~P1(f327(f327(f234(a1),f2(a1)),x76984))+~P1(f327(f327(f235(a1),f2(a1)),x76981))+~P1(f327(f327(f235(a1),x76984),x76981))
% 207.24/207.90 [7720]E(f46(a1,x77202,x77201),x77203)+E(x77201,f2(a1))+~E(x77202,f327(f327(f80(a1),f327(f327(f81(a1),x77201),x77204)),x77203))+~P1(f327(f327(f234(a1),f2(a1)),x77203))+~P1(f327(f327(f235(a1),f2(a1)),x77201))+~P1(f327(f327(f235(a1),x77203),x77201))
% 207.24/207.90 [7864]~P108(x78642)+E(x78641,f190(f922(x78642,a910)))+~P1(f327(f35(x78642),x78641))+~P1(f327(f327(f234(x78642),x78644),x78643))+~P1(f327(f327(f329(x78642),x78644),x78641))+P1(f327(f327(f234(x78642),f327(f63(x78642,f238(x78642)),x78641)),x78643))
% 207.24/207.90 [7865]~P108(x78652)+E(x78651,f190(f922(x78652,a910)))+~P1(f327(f35(x78652),x78651))+~P1(f327(f327(f235(x78652),x78654),x78653))+~P1(f327(f327(f329(x78652),x78654),x78651))+P1(f327(f327(f235(x78652),f327(f63(x78652,f238(x78652)),x78651)),x78653))
% 207.24/207.90 [8426]~P1(f327(f327(f234(a1),x84264),f2(a1)))+~E(x84261,f327(f327(f80(a1),f327(f327(f81(a1),x84262),x84263)),x84264))+~P1(f327(f327(f234(a1),f2(a1)),x84264))+~P1(f327(f327(f235(a1),x84264),x84262))+~P1(f327(f327(f235(a1),x84262),x84264))+P1(f327(f50(x84261,x84262),f327(f327(f252(a1,a1),x84263),x84264)))
% 207.24/207.90 [8593]~P110(x85931)+P1(f327(f327(f235(f922(x85931,a910)),f303(x85931,x85932,x85933)),f303(x85931,x85934,x85935)))+~P1(f327(f327(f234(x85931),x85934),x85932))+~P1(f327(f327(f234(x85931),x85934),x85935))+~P1(f327(f327(f234(x85931),x85933),x85935))+~P1(f327(f327(f235(x85931),x85933),x85935))
% 207.24/207.90 [8594]~P110(x85941)+P1(f327(f327(f235(f922(x85941,a910)),f303(x85941,x85942,x85943)),f303(x85941,x85944,x85945)))+~P1(f327(f327(f234(x85941),x85943),x85945))+~P1(f327(f327(f234(x85941),x85944),x85945))+~P1(f327(f327(f234(x85941),x85944),x85942))+~P1(f327(f327(f235(x85941),x85944),x85942))
% 207.24/207.90 [9453]P56(x94532,x94533,x94534,x94531)+E(x94531,f190(f922(x94532,a910)))+~P1(f327(f35(x94532),x94534))+~P1(f327(f35(x94532),x94531))+~P1(f327(f327(x94533,f538(x94531,x94534,x94533,x94532)),x94535))+~P1(f327(f327(f329(x94532),x94535),x94531))
% 207.24/207.90 [9454]P56(x94542,x94543,x94544,x94541)+E(x94541,f190(f922(x94542,a910)))+~P1(f327(f35(x94542),x94544))+~P1(f327(f35(x94542),x94541))+~P1(f327(f327(x94543,f793(x94543,x94541,x94544,x94542)),x94545))+~P1(f327(f327(f329(x94542),x94545),x94541))
% 207.24/207.90 [9455]P56(x94552,x94553,x94554,x94551)+E(x94551,f190(f922(x94552,a910)))+~P1(f327(f35(x94552),x94554))+~P1(f327(f35(x94552),x94551))+~P1(f327(f327(x94553,f794(x94551,x94554,x94553,x94552)),x94555))+~P1(f327(f327(f329(x94552),x94555),x94551))
% 207.24/207.90 [9603]~E(x96033,x96035)+~P68(x96031)+~P75(x96031)+~P38(x96033)+E(f327(f327(f6(a1,x96031),x96032),x96033),f327(f327(f6(a1,x96031),x96034),x96035))+P1(f327(f327(f234(a1),f2(a1)),f468(x96032,x96034,x96033,x96035,x96031)))
% 207.24/207.90 [9604]~E(x96043,x96045)+~P68(x96041)+~P75(x96041)+~P38(x96043)+E(f327(f327(f9(a1,x96041),x96042),x96043),f327(f327(f9(a1,x96041),x96044),x96045))+P1(f327(f327(f234(a1),f2(a1)),f458(x96042,x96044,x96043,x96045,x96041)))
% 207.24/207.90 [9778]~E(x97785,x97783)+~P68(x97781)+~P75(x97781)+~P38(x97785)+~E(f327(x97782,f468(x97784,x97782,x97785,x97783,x97781)),f327(x97784,f468(x97784,x97782,x97785,x97783,x97781)))+E(f327(f327(f6(a1,x97781),x97782),x97783),f327(f327(f6(a1,x97781),x97784),x97785))
% 207.24/207.90 [9779]~E(x97795,x97793)+~P68(x97791)+~P75(x97791)+~P38(x97795)+~E(f327(x97792,f458(x97794,x97792,x97795,x97793,x97791)),f327(x97794,f458(x97794,x97792,x97795,x97793,x97791)))+E(f327(f327(f9(a1,x97791),x97792),x97793),f327(f327(f9(a1,x97791),x97794),x97795))
% 207.24/207.90 [9866]~P78(x98663)+E(f327(x98661,x98662),f2(x98663))+~E(f327(f327(f6(x98664,x98663),x98661),x98665),f2(x98663))+~P1(f327(f35(x98664),x98665))+P1(f327(f327(f329(x98664),f401(x98662,x98661,x98665,x98664,x98663)),x98665))+~P1(f327(f327(f329(x98664),x98662),x98665))
% 207.24/207.90 [9995]~P78(x99953)+E(f327(x99951,x99952),f2(x99953))+~E(f327(f327(f6(x99954,x99953),x99951),x99955),f2(x99953))+~P1(f327(f35(x99954),x99955))+~P1(f327(f327(f329(x99954),x99952),x99955))+~P1(f327(f327(f234(x99953),f2(x99953)),f327(x99951,f401(x99952,x99951,x99955,x99954,x99953))))
% 207.24/207.90 [8511]~P137(x85111)+~P1(f327(f327(f234(x85111),x85113),x85115))+~P1(f327(f327(f234(x85111),x85112),x85114))+~P1(f327(f327(f234(x85111),f2(x85111)),x85113))+~P1(f327(f327(f234(x85111),f2(x85111)),x85114))+P1(f327(f327(f234(x85111),f327(f327(f81(x85111),x85112),x85113)),f327(f327(f81(x85111),x85114),x85115)))
% 207.24/207.90 [8512]~P137(x85121)+~P1(f327(f327(f234(x85121),x85123),x85125))+~P1(f327(f327(f234(x85121),x85122),x85124))+~P1(f327(f327(f234(x85121),f2(x85121)),x85123))+~P1(f327(f327(f234(x85121),f2(x85121)),x85122))+P1(f327(f327(f234(x85121),f327(f327(f81(x85121),x85122),x85123)),f327(f327(f81(x85121),x85124),x85125)))
% 207.24/207.90 [8513]~P64(x85131)+~P1(f327(f327(f235(x85131),f2(x85131)),x85135))+~P1(f327(f327(f234(x85131),x85135),x85133))+~P1(f327(f327(f234(x85131),x85132),x85134))+~P1(f327(f327(f234(x85131),f2(x85131)),x85132))+P1(f327(f327(f234(x85131),f327(f327(f291(x85131),x85132),x85133)),f327(f327(f291(x85131),x85134),x85135)))
% 207.24/207.90 [8514]~P130(x85141)+~P1(f327(f327(f234(x85141),x85143),x85145))+~P1(f327(f327(f234(x85141),f2(x85141)),x85142))+~P1(f327(f327(f235(x85141),x85142),x85144))+~P1(f327(f327(f235(x85141),f2(x85141)),x85143))+P1(f327(f327(f235(x85141),f327(f327(f81(x85141),x85142),x85143)),f327(f327(f81(x85141),x85144),x85145)))
% 207.24/207.90 [8515]~P130(x85151)+~P1(f327(f327(f234(x85151),x85152),x85154))+~P1(f327(f327(f234(x85151),f2(x85151)),x85153))+~P1(f327(f327(f235(x85151),x85153),x85155))+~P1(f327(f327(f235(x85151),f2(x85151)),x85152))+P1(f327(f327(f235(x85151),f327(f327(f81(x85151),x85152),x85153)),f327(f327(f81(x85151),x85154),x85155)))
% 207.24/207.90 [8516]~P130(x85161)+~P1(f327(f327(f234(x85161),f2(x85161)),x85163))+~P1(f327(f327(f234(x85161),f2(x85161)),x85162))+~P1(f327(f327(f235(x85161),x85163),x85165))+~P1(f327(f327(f235(x85161),x85162),x85164))+P1(f327(f327(f235(x85161),f327(f327(f81(x85161),x85162),x85163)),f327(f327(f81(x85161),x85164),x85165)))
% 207.24/207.90 [8517]~P130(x85171)+~P1(f327(f327(f234(x85171),f2(x85171)),x85173))+~P1(f327(f327(f235(x85171),x85173),x85175))+~P1(f327(f327(f235(x85171),x85172),x85174))+~P1(f327(f327(f235(x85171),f2(x85171)),x85174))+P1(f327(f327(f235(x85171),f327(f327(f81(x85171),x85172),x85173)),f327(f327(f81(x85171),x85174),x85175)))
% 207.24/207.90 [8518]~P64(x85181)+~P1(f327(f327(f234(x85181),x85185),x85183))+~P1(f327(f327(f234(x85181),f2(x85181)),x85182))+~P1(f327(f327(f235(x85181),x85182),x85184))+~P1(f327(f327(f235(x85181),f2(x85181)),x85185))+P1(f327(f327(f235(x85181),f327(f327(f291(x85181),x85182),x85183)),f327(f327(f291(x85181),x85184),x85185)))
% 207.24/207.90 [8519]~P64(x85191)+~P1(f327(f327(f234(x85191),x85192),x85194))+~P1(f327(f327(f235(x85191),x85195),x85193))+~P1(f327(f327(f235(x85191),f2(x85191)),x85195))+~P1(f327(f327(f235(x85191),f2(x85191)),x85192))+P1(f327(f327(f235(x85191),f327(f327(f291(x85191),x85192),x85193)),f327(f327(f291(x85191),x85194),x85195)))
% 207.24/207.90 [9910]~P68(x99105)+~P85(x99105)+E(x99101,f190(f922(x99102,a910)))+~P1(f327(f35(x99102),x99101))+P1(f327(f327(f329(x99102),f645(x99103,x99104,x99101,x99102,x99105)),x99101))+P1(f327(f327(f235(x99105),f327(f327(f6(x99102,x99105),x99104),x99101)),f327(f327(f6(x99102,x99105),x99103),x99101)))
% 207.24/207.90 [10020]~P68(x100201)+~P83(x100201)+~P1(f327(f35(x100202),x100205))+~P1(f327(f327(f234(x100201),f2(x100201)),f327(x100203,f382(x100203,x100204,x100205,x100202,x100201))))+P1(f327(f327(f234(x100201),f327(f327(f6(x100202,x100201),x100203),x100204)),f327(f327(f6(x100202,x100201),x100203),x100205)))+~P1(f327(f327(f234(f922(x100202,a910)),x100204),x100205))
% 207.24/207.90 [10191]~P68(x101913)+~P85(x101913)+E(x101911,f190(f922(x101912,a910)))+~P1(f327(f35(x101912),x101911))+~P1(f327(f327(f235(x101913),f327(x101914,f645(x101915,x101914,x101911,x101912,x101913))),f327(x101915,f645(x101915,x101914,x101911,x101912,x101913))))+P1(f327(f327(f235(x101913),f327(f327(f6(x101912,x101913),x101914),x101911)),f327(f327(f6(x101912,x101913),x101915),x101911)))
% 207.24/207.90 [7243]~P15(x72432,x72435,x72434)+E(x72431,f190(f922(x72432,a910)))+E(x72433,f190(f922(x72432,a910)))+~P1(f327(f35(x72432),x72431))+~P1(f327(f35(x72432),x72433))+E(f327(x72434,f327(f327(f102(f922(x72432,a910)),x72433),x72431)),f327(f327(x72435,f327(x72434,x72433)),f327(x72434,x72431)))
% 207.24/207.90 [7830]~P148(x78301,x78303,x78304)+P1(f327(x78301,x78302))+~P1(f327(f327(f235(a1),x78304),f2(a1)))+~P1(f327(f327(f234(a1),x78305),f2(a1)))+~E(x78303,f327(f327(f80(a1),f327(f327(f81(a1),x78304),x78302)),x78305))+~P1(f327(f327(f235(a1),x78304),x78305))
% 207.24/207.90 [7831]~P147(x78311,x78313,x78314)+P1(f327(x78311,x78312))+~P1(f327(f327(f235(a1),x78314),f2(a1)))+~P1(f327(f327(f234(a1),x78312),f2(a1)))+~E(x78313,f327(f327(f80(a1),f327(f327(f81(a1),x78314),x78315)),x78312))+~P1(f327(f327(f235(a1),x78314),x78312))
% 207.24/207.90 [7873]~P148(x78731,x78733,x78734)+P1(f327(x78731,x78732))+~E(x78733,f327(f327(f80(a1),f327(f327(f81(a1),x78734),x78732)),x78735))+~P1(f327(f327(f234(a1),f2(a1)),x78735))+~P1(f327(f327(f235(a1),f2(a1)),x78734))+~P1(f327(f327(f235(a1),x78735),x78734))
% 207.24/207.90 [7874]~P147(x78741,x78743,x78744)+P1(f327(x78741,x78742))+~E(x78743,f327(f327(f80(a1),f327(f327(f81(a1),x78744),x78745)),x78742))+~P1(f327(f327(f234(a1),f2(a1)),x78742))+~P1(f327(f327(f235(a1),f2(a1)),x78744))+~P1(f327(f327(f235(a1),x78742),x78744))
% 207.24/207.90 [8802]P1(f327(f327(x88021,x88022),x88023))+~P1(f327(f327(x88021,f327(f327(f37(a1),x88024),x88025)),f46(a1,x88024,x88025)))+~P1(f327(f327(f235(a1),x88025),f2(a1)))+~P1(f327(f327(f234(a1),x88023),f2(a1)))+~E(x88024,f327(f327(f80(a1),f327(f327(f81(a1),x88025),x88022)),x88023))+~P1(f327(f327(f235(a1),x88025),x88023))
% 207.24/207.90 [8811]P1(f327(f327(x88111,x88112),x88113))+~P1(f327(f327(x88111,f327(f327(f37(a1),x88114),x88115)),f46(a1,x88114,x88115)))+~E(x88114,f327(f327(f80(a1),f327(f327(f81(a1),x88115),x88112)),x88113))+~P1(f327(f327(f234(a1),f2(a1)),x88113))+~P1(f327(f327(f235(a1),f2(a1)),x88115))+~P1(f327(f327(f235(a1),x88113),x88115))
% 207.24/207.90 [9072]E(x90721,x90722)+~P53(x90723,x90725,x90724)+~P1(f327(f327(f329(x90723),x90722),x90725))+~P1(f327(f327(f329(x90723),x90721),x90725))+P1(f327(f327(f329(f921(x90723,x90723)),f327(f327(f252(x90723,x90723),x90721),x90722)),x90724))+P1(f327(f327(f329(f921(x90723,x90723)),f327(f327(f252(x90723,x90723),x90722),x90721)),x90724))
% 207.24/207.90 [9937]~P68(x99375)+~P83(x99375)+~P1(f327(f35(x99371),x99374))+P1(f327(f327(f234(x99375),f327(f327(f6(x99371,x99375),x99372),x99373)),f327(f327(f6(x99371,x99375),x99372),x99374)))+~P1(f327(f327(f234(f922(x99371,a910)),x99373),x99374))+P1(f327(f327(f329(x99371),f382(x99372,x99373,x99374,x99371,x99375)),f327(f327(f23(f922(x99371,a910)),x99374),x99373)))
% 207.24/207.90 [10028]E(x100281,f190(f922(x100282,a910)))+~P1(f327(f35(x100282),x100283))+~P1(f327(f35(x100282),x100281))+P1(f327(f327(f329(f921(f922(x100282,a910),f922(x100282,a910))),f327(f327(f252(f922(x100282,a910),f922(x100282,a910)),x100283),x100281)),f319(x100282,x100284)))+~P1(f327(f327(f329(x100282),x100285),x100281))+~P1(f327(f327(f329(f921(x100282,x100282)),f327(f327(f252(x100282,x100282),f547(x100284,x100281,x100283,x100282)),x100285)),x100284))
% 207.24/207.90 [10029]E(x100291,f190(f922(x100292,a910)))+~P1(f327(f35(x100292),x100293))+~P1(f327(f35(x100292),x100291))+P1(f327(f327(f329(f921(f922(x100292,a910),f922(x100292,a910))),f327(f327(f252(f922(x100292,a910),f922(x100292,a910)),x100293),x100291)),f319(x100292,x100294)))+~P1(f327(f327(f329(x100292),x100295),x100291))+~P1(f327(f327(f329(f921(x100292,x100292)),f327(f327(f252(x100292,x100292),f596(x100294,x100291,x100293,x100292)),x100295)),x100294))
% 207.24/207.90 [10195]~P78(x101951)+~E(f327(f327(f6(x101955,x101951),x101952),x101956),x101954)+~P1(f327(f35(x101955),x101956))+P1(f327(f327(f329(x101955),f414(x101953,x101954,x101952,x101956,x101955,x101951)),x101956))+P1(f327(f327(f234(x101951),f327(x101952,x101953)),x101954))+~P1(f327(f327(f329(x101955),x101953),x101956))
% 207.24/207.90 [10244]~P78(x102441)+~E(f327(f327(f6(x102445,x102441),x102442),x102446),x102444)+~P1(f327(f35(x102445),x102446))+~P1(f327(f327(f329(x102445),x102443),x102446))+~P1(f327(f327(f234(x102441),f2(x102441)),f327(x102442,f414(x102443,x102444,x102442,x102446,x102445,x102441))))+P1(f327(f327(f234(x102441),f327(x102442,x102443)),x102444))
% 207.24/207.90 [10383]~E(x103835,x103838)+~E(x103834,x103837)+~P109(x103831)+~P68(x103832)+E(f327(f327(f6(x103831,x103832),x103833),f327(f302(x103831,x103834),x103835)),f327(f327(f6(x103831,x103832),x103836),f327(f302(x103831,x103837),x103838)))+P1(f327(f327(f234(x103831),x103834),f600(x103833,x103836,x103835,x103838,x103834,x103837,x103831,x103832)))
% 207.24/207.90 [10401]~E(x104017,x104014)+~E(x104018,x104015)+~P109(x104011)+~P68(x104012)+~E(f327(x104013,f600(x104016,x104013,x104018,x104015,x104017,x104014,x104011,x104012)),f327(x104016,f600(x104016,x104013,x104018,x104015,x104017,x104014,x104011,x104012)))+E(f327(f327(f6(x104011,x104012),x104013),f327(f302(x104011,x104014),x104015)),f327(f327(f6(x104011,x104012),x104016),f327(f302(x104011,x104017),x104018)))
% 207.24/207.90 [10404]~E(x104044,x104047)+~E(x104045,x104048)+~P109(x104041)+~P68(x104042)+E(f327(f327(f6(x104041,x104042),x104043),f327(f302(x104041,x104044),x104045)),f327(f327(f6(x104041,x104042),x104046),f327(f302(x104041,x104047),x104048)))+P1(f327(f327(f235(x104041),f600(x104043,x104046,x104045,x104048,x104044,x104047,x104041,x104042)),x104045))
% 207.24/207.90 [10035]~P6(x100355,x100359,x100356)+~P6(x100351,x1003510,x100353)+~P10(x100351,x100355,f922(x100352,a910),x100353,x100356,x100358)+~P1(f327(f327(f329(x100355),x100357),x100359))+~P1(f327(f327(f329(x100351),x100354),x1003510))+E(f327(f327(f40(x100351,f922(x100352,a910)),f327(f285(x100351,x100351,x100353),f327(f327(f309(x100351),x100354),f190(f922(x100351,a910))))),f327(f327(f8(f922(x100355,f922(x100352,a910)),f922(x100352,a910),x100351),f327(f40(x100355,f922(x100352,a910)),f327(f285(x100355,x100355,x100356),f327(f327(f309(x100355),x100357),f190(f922(x100355,a910)))))),x100358)),f327(f327(x100358,x100354),x100357))
% 207.24/207.90 [5763]~P108(x57633)+~P11(x57633,x57632)+~P11(x57633,x57631)+E(x57631,x57632)+~E(f327(f173(x57633),x57631),f327(f173(x57633),x57632))+~P1(f327(f138(x57633),x57632))+~P1(f327(f138(x57633),x57631))
% 207.24/207.90 [5092]~P116(x50922)+~P129(x50922)+~P134(x50922)+~P145(x50922)+~E(x50923,f2(x50922))+E(x50921,f2(a915))+E(f327(f327(f244(x50922),x50923),x50921),f2(x50922))
% 207.24/207.90 [9331]E(x93311,f2(a915))+~E(x93312,f327(f327(f80(a915),f327(f327(f81(a915),f327(f251(a915,a915),x93313)),x93311)),f327(f256(a915,a915),x93313)))+P1(f327(f49(x93312,x93311),x93313))+~P1(f327(f327(f234(a915),f327(f256(a915,a915),x93313)),f2(a915)))+~P1(f327(f327(f234(a915),f2(a915)),f327(f256(a915,a915),x93313)))+~P1(f327(f327(f235(a915),x93311),f327(f256(a915,a915),x93313)))+~P1(f327(f327(f235(a915),f327(f256(a915,a915),x93313)),x93311))
% 207.24/207.90 [9339]~E(f327(f251(a915,a915),x93393),f2(a915))+~E(x93391,f327(f327(f80(a915),f327(f327(f81(a915),f327(f251(a915,a915),x93393)),x93392)),f327(f256(a915,a915),x93393)))+P1(f327(f49(x93391,x93392),x93393))+~P1(f327(f327(f234(a915),f327(f256(a915,a915),x93393)),f2(a915)))+~P1(f327(f327(f234(a915),f2(a915)),f327(f256(a915,a915),x93393)))+~P1(f327(f327(f235(a915),x93392),f327(f256(a915,a915),x93393)))+~P1(f327(f327(f235(a915),f327(f256(a915,a915),x93393)),x93392))
% 207.24/207.90 [8181]~P72(x81812)+E(x81811,f190(f922(x81812,a910)))+E(x81813,f190(f922(x81812,a910)))+~P1(f327(f35(x81812),x81811))+~P1(f327(f35(x81812),x81813))+~E(f327(f327(f103(f922(x81812,a910)),x81813),x81811),f190(f922(x81812,a910)))+E(f327(f327(f81(x81812),f327(f63(x81812,f81(x81812)),x81813)),f327(f63(x81812,f81(x81812)),x81811)),f327(f63(x81812,f81(x81812)),f327(f327(f102(f922(x81812,a910)),x81813),x81811)))
% 207.24/207.90 [7967]E(x79671,f2(a1))+E(f327(f327(f37(a1),x79672),x79671),x79673)+~P1(f327(f327(f234(a1),x79674),f2(a1)))+~E(x79672,f327(f327(f80(a1),f327(f327(f81(a1),x79671),x79673)),x79674))+~P1(f327(f327(f234(a1),f2(a1)),x79674))+~P1(f327(f327(f235(a1),x79674),x79671))+~P1(f327(f327(f235(a1),x79671),x79674))
% 207.24/207.90 [7975]E(f46(a1,x79752,x79751),x79753)+E(x79751,f2(a1))+~P1(f327(f327(f234(a1),x79753),f2(a1)))+~E(x79752,f327(f327(f80(a1),f327(f327(f81(a1),x79751),x79754)),x79753))+~P1(f327(f327(f234(a1),f2(a1)),x79753))+~P1(f327(f327(f235(a1),x79753),x79751))+~P1(f327(f327(f235(a1),x79751),x79753))
% 207.24/207.90 [7024]~P58(x70242)+E(x70241,f2(x70242))+E(x70243,f2(x70242))+~E(f327(f327(f37(x70242),x70244),x70243),f327(f327(f37(x70242),x70245),x70241))+E(f327(f327(f81(x70242),x70244),x70241),f327(f327(f81(x70242),x70243),x70245))+~P1(f327(f327(f287(x70242),x70241),x70245))+~P1(f327(f327(f287(x70242),x70243),x70244))
% 207.24/207.90 [7025]~P58(x70252)+E(x70251,f2(x70252))+E(x70253,f2(x70252))+~E(f327(f327(f81(x70252),x70254),x70253),f327(f327(f81(x70252),x70251),x70255))+E(f327(f327(f37(x70252),x70254),x70251),f327(f327(f37(x70252),x70255),x70253))+~P1(f327(f327(f287(x70252),x70251),x70254))+~P1(f327(f327(f287(x70252),x70253),x70255))
% 207.24/207.90 [7882]~P16(x78822,x78825,x78824)+E(x78821,f190(f922(x78822,a910)))+E(x78823,f190(f922(x78822,a910)))+~P1(f327(f35(x78822),x78821))+~P1(f327(f35(x78822),x78823))+~E(f327(f327(f103(f922(x78822,a910)),x78823),x78821),f190(f922(x78822,a910)))+E(f327(x78824,f327(f327(f102(f922(x78822,a910)),x78823),x78821)),f327(f327(x78825,f327(x78824,x78823)),f327(x78824,x78821)))
% 207.24/207.90 [9576]~P23(x95763,x95761,x95765,x95764)+~P23(x95761,x95763,x95766,x95762)+E(f327(f36(x95761),x95762),f327(f36(x95763),x95764))+~P1(f327(f35(x95763),x95764))+~P1(f327(f35(x95761),x95762))+~P1(f327(f327(f234(f922(x95763,a910)),f327(f310(x95761,x95763,x95766),x95762)),x95764))+~P1(f327(f327(f234(f922(x95761,a910)),f327(f310(x95763,x95761,x95765),x95764)),x95762))
% 207.24/207.90 [9518]~P1(f327(f327(f235(a1),f327(f327(f80(a1),f327(f327(f81(a1),x95185),x95181)),x95186)),f2(a1)))+~E(f327(f327(f80(a1),f327(f327(f81(a1),x95183),x95182)),x95184),f327(f327(f80(a1),f327(f327(f81(a1),x95185),x95181)),x95186))+~P1(f327(f327(f234(a1),f2(a1)),x95186))+~P1(f327(f327(f235(a1),f2(a1)),x95185))+~P1(f327(f327(f234(a1),x95185),x95183))+~P1(f327(f327(f235(a1),x95184),x95183))+P1(f327(f327(f234(a1),x95181),x95182))
% 207.24/207.90 [9282]~E(f327(f327(f80(a1),f327(f327(f81(a1),x92823),x92821)),x92824),f327(f327(f80(a1),f327(f327(f81(a1),x92825),x92822)),x92826))+~P1(f327(f327(f234(a1),f2(a1)),x92824))+~P1(f327(f327(f235(a1),f2(a1)),x92825))+~P1(f327(f327(f234(a1),x92825),x92823))+~P1(f327(f327(f235(a1),x92826),x92825))+P1(f327(f327(f234(a1),x92821),x92822))+~P1(f327(f327(f234(a1),f2(a1)),f327(f327(f80(a1),f327(f327(f81(a1),x92825),x92822)),x92826)))
% 207.24/207.90 [9458]~P132(x94581)+~E(f327(f327(f80(x94581),x94582),x94584),f78(x94581))+~P1(f327(f327(f234(x94581),x94585),x94586))+~P1(f327(f327(f234(x94581),x94583),x94586))+~P1(f327(f327(f234(x94581),f2(x94581)),x94584))+~P1(f327(f327(f234(x94581),f2(x94581)),x94582))+P1(f327(f327(f234(x94581),f327(f327(f80(x94581),f327(f327(f81(x94581),x94582),x94583)),f327(f327(f81(x94581),x94584),x94585))),x94586))
% 207.24/207.90 [9459]~P133(x94591)+~E(f327(f327(f80(x94591),x94592),x94594),f78(x94591))+~P1(f327(f327(f234(x94591),f2(x94591)),x94594))+~P1(f327(f327(f234(x94591),f2(x94591)),x94592))+~P1(f327(f327(f235(x94591),x94595),x94596))+~P1(f327(f327(f235(x94591),x94593),x94596))+P1(f327(f327(f235(x94591),f327(f327(f80(x94591),f327(f327(f81(x94591),x94592),x94593)),f327(f327(f81(x94591),x94594),x94595))),x94596))
% 207.24/207.90 [10294]~P6(x102947,x102946,x102945)+E(x102941,x102942)+~P9(x102947,f922(x102944,a910),x102945,x102943)+E(f327(x102943,f519(x102941,x102942,x102943,x102944,x102945,x102946,x102947)),f327(x102943,f520(x102941,x102942,x102943,x102944,x102945,x102946,x102947)))+~E(f327(f327(f40(x102947,f922(x102944,a910)),x102941),x102943),f327(f327(f40(x102947,f922(x102944,a910)),x102942),x102943))+~P1(f327(f327(f329(f922(x102947,a910)),x102942),f327(f327(f61(x102947),x102946),x102945)))+~P1(f327(f327(f329(f922(x102947,a910)),x102941),f327(f327(f61(x102947),x102946),x102945)))
% 207.24/207.90 [10339]~P6(x103393,x103397,x103396)+E(x103391,x103392)+~P9(x103393,f922(x103395,a910),x103396,x103394)+~E(f327(f327(f40(x103393,f922(x103395,a910)),x103391),x103394),f327(f327(f40(x103393,f922(x103395,a910)),x103392),x103394))+P1(f327(f327(f329(x103393),f520(x103391,x103392,x103394,x103395,x103396,x103397,x103393)),x103397))+~P1(f327(f327(f329(f922(x103393,a910)),x103392),f327(f327(f61(x103393),x103397),x103396)))+~P1(f327(f327(f329(f922(x103393,a910)),x103391),f327(f327(f61(x103393),x103397),x103396)))
% 207.24/207.90 [10340]~P6(x103403,x103407,x103406)+E(x103401,x103402)+~P9(x103403,f922(x103405,a910),x103406,x103404)+~E(f327(f327(f40(x103403,f922(x103405,a910)),x103401),x103404),f327(f327(f40(x103403,f922(x103405,a910)),x103402),x103404))+P1(f327(f327(f329(x103403),f519(x103401,x103402,x103404,x103405,x103406,x103407,x103403)),x103407))+~P1(f327(f327(f329(f922(x103403,a910)),x103402),f327(f327(f61(x103403),x103407),x103406)))+~P1(f327(f327(f329(f922(x103403,a910)),x103401),f327(f327(f61(x103403),x103407),x103406)))
% 207.24/207.90 [10420]E(x104201,x104202)+~P6(x104203,x104206,x104207)+~P9(x104203,f922(x104204,a910),x104207,x104205)+~E(f327(f327(f40(x104203,f922(x104204,a910)),x104201),x104205),f327(f327(f40(x104203,f922(x104204,a910)),x104202),x104205))+~P1(f327(f327(f329(f921(x104203,x104203)),f327(f327(f252(x104203,x104203),f520(x104201,x104202,x104205,x104204,x104207,x104206,x104203)),f519(x104201,x104202,x104205,x104204,x104207,x104206,x104203))),x104207))+~P1(f327(f327(f329(f922(x104203,a910)),x104202),f327(f327(f61(x104203),x104206),x104207)))+~P1(f327(f327(f329(f922(x104203,a910)),x104201),f327(f327(f61(x104203),x104206),x104207)))
% 207.24/207.90 [9281]~P6(x92811,x92817,x92814)+~E(x92815,x92816)+~P1(f327(f327(f329(x92811),x92813),x92816))+~P1(f327(f327(f329(x92811),x92812),x92815))+~P1(f327(f327(f329(f922(x92811,a910)),x92816),f327(f327(f61(x92811),x92817),x92814)))+~P1(f327(f327(f329(f922(x92811,a910)),x92815),f327(f327(f61(x92811),x92817),x92814)))+P1(f327(f327(f329(f921(x92811,x92811)),f327(f327(f252(x92811,x92811),x92812),x92813)),x92814))
% 207.24/207.90 [9417]E(x94171,x94172)+~P6(x94173,x94174,x94175)+~P1(f327(f327(f329(x94173),x94176),x94172))+~P1(f327(f327(f329(x94173),x94177),x94171))+~P1(f327(f327(f329(f922(x94173,a910)),x94172),f327(f327(f61(x94173),x94174),x94175)))+~P1(f327(f327(f329(f922(x94173,a910)),x94171),f327(f327(f61(x94173),x94174),x94175)))+~P1(f327(f327(f329(f921(x94173,x94173)),f327(f327(f252(x94173,x94173),x94177),x94176)),x94175))
% 207.24/207.90 [10447]~P6(x104479,x104478,x104477)+~P6(x104471,x1044711,x1044710)+~P10(x104471,x104479,f922(x104476,a910),x1044710,x104477,x104475)+P1(f327(f327(f329(x104471),f512(x104472,x104473,x104474,x104475,x104476,x104477,x104478,x104479,x1044710,x1044711,x104471)),x1044711))+~P1(f327(f327(f329(f922(x104479,a910)),x104473),f327(f327(f61(x104479),x104478),x104477)))+~P1(f327(f327(f329(f922(x104471,a910)),x104474),f327(f327(f61(x104471),x1044711),x1044710)))+P1(f327(f327(f329(f922(x104476,a910)),f327(f327(f40(x104471,f922(x104476,a910)),x104474),f327(f327(f8(f922(x104479,f922(x104476,a910)),f922(x104476,a910),x104471),f327(f40(x104479,f922(x104476,a910)),x104473)),x104475))),x104472))
% 207.24/207.90 [10448]~P6(x1044811,x1044810,x104489)+~P6(x104481,x104488,x104487)+~P10(x1044811,x104481,f922(x104486,a910),x104489,x104487,x104485)+P1(f327(f327(f329(x104481),f513(x104482,x104483,x104484,x104485,x104486,x104487,x104488,x104481,x104489,x1044810,x1044811)),x104488))+~P1(f327(f327(f329(f922(x1044811,a910)),x104484),f327(f327(f61(x1044811),x1044810),x104489)))+~P1(f327(f327(f329(f922(x104481,a910)),x104483),f327(f327(f61(x104481),x104488),x104487)))+P1(f327(f327(f329(f922(x104486,a910)),f327(f327(f40(x1044811,f922(x104486,a910)),x104484),f327(f327(f8(f922(x104481,f922(x104486,a910)),f922(x104486,a910),x1044811),f327(f40(x104481,f922(x104486,a910)),x104483)),x104485))),x104482))
% 207.24/207.90 [10449]~P6(x104492,x104498,x104499)+~P6(x104494,x1044910,x1044911)+~P10(x104492,x104494,f922(x104491,a910),x104499,x1044911,x104496)+~P1(f327(f327(f329(f922(x104492,a910)),x104493),f327(f327(f61(x104492),x104498),x104499)))+~P1(f327(f327(f329(f922(x104494,a910)),x104495),f327(f327(f61(x104494),x1044910),x1044911)))+~P1(f327(f327(f329(f922(x104491,a910)),f327(f327(x104496,f512(x104497,x104495,x104493,x104496,x104491,x1044911,x1044910,x104494,x104499,x104498,x104492)),f513(x104497,x104495,x104493,x104496,x104491,x1044911,x1044910,x104494,x104499,x104498,x104492))),x104497))+P1(f327(f327(f329(f922(x104491,a910)),f327(f327(f40(x104492,f922(x104491,a910)),x104493),f327(f327(f8(f922(x104494,f922(x104491,a910)),f922(x104491,a910),x104492),f327(f40(x104494,f922(x104491,a910)),x104495)),x104496))),x104497))
% 207.24/207.90 [9317]E(x93171,x93172)+~P108(x93174)+~P23(x93173,x93174,x93175,f327(f327(f102(f922(x93173,a910)),f327(f173(x93173),x93171)),f327(f173(x93173),x93172)))+~E(f327(f173(x93173),x93171),f327(f173(x93173),x93172))+~P11(x93174,f327(f327(f155(x93173,x93174),x93175),x93172))+~P11(x93174,f327(f327(f155(x93173,x93174),x93175),x93171))+~P1(f327(f138(x93174),f327(f327(f155(x93173,x93174),x93175),x93172)))+~P1(f327(f138(x93174),f327(f327(f155(x93173,x93174),x93175),x93171)))
% 207.24/207.90 %EqnAxiom
% 207.24/207.90 [1]E(x11,x11)
% 207.24/207.90 [2]E(x22,x21)+~E(x21,x22)
% 207.24/207.90 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 207.24/207.90 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 207.24/207.90 [5]~E(x51,x52)+E(f101(x51),f101(x52))
% 207.24/207.90 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 207.24/207.90 [7]~E(x71,x72)+E(f189(x71),f189(x72))
% 207.24/207.90 [8]~E(x81,x82)+E(f102(x81),f102(x82))
% 207.24/207.90 [9]~E(x91,x92)+E(f238(x91),f238(x92))
% 207.24/207.90 [10]~E(x101,x102)+E(f103(x101),f103(x102))
% 207.24/207.90 [11]~E(x111,x112)+E(f190(x111),f190(x112))
% 207.24/207.90 [12]~E(x121,x122)+E(f327(x121,x123),f327(x122,x123))
% 207.24/207.90 [13]~E(x131,x132)+E(f327(x133,x131),f327(x133,x132))
% 207.24/207.90 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 207.24/207.90 [15]~E(x151,x152)+E(f922(x151,x153),f922(x152,x153))
% 207.24/207.90 [16]~E(x161,x162)+E(f922(x163,x161),f922(x163,x162))
% 207.24/207.90 [17]~E(x171,x172)+E(f104(x171),f104(x172))
% 207.24/207.90 [18]~E(x181,x182)+E(f31(x181),f31(x182))
% 207.24/207.90 [19]~E(x191,x192)+E(f84(x191),f84(x192))
% 207.24/207.90 [20]~E(x201,x202)+E(f918(x201),f918(x202))
% 207.24/207.90 [21]~E(x211,x212)+E(f916(x211),f916(x212))
% 207.24/207.90 [22]~E(x221,x222)+E(f513(x221,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f513(x222,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 207.24/207.90 [23]~E(x231,x232)+E(f513(x233,x231,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f513(x233,x232,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 207.24/207.90 [24]~E(x241,x242)+E(f513(x243,x244,x241,x245,x246,x247,x248,x249,x2410,x2411,x2412),f513(x243,x244,x242,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 207.24/207.90 [25]~E(x251,x252)+E(f513(x253,x254,x255,x251,x256,x257,x258,x259,x2510,x2511,x2512),f513(x253,x254,x255,x252,x256,x257,x258,x259,x2510,x2511,x2512))
% 207.24/207.90 [26]~E(x261,x262)+E(f513(x263,x264,x265,x266,x261,x267,x268,x269,x2610,x2611,x2612),f513(x263,x264,x265,x266,x262,x267,x268,x269,x2610,x2611,x2612))
% 207.24/207.90 [27]~E(x271,x272)+E(f513(x273,x274,x275,x276,x277,x271,x278,x279,x2710,x2711,x2712),f513(x273,x274,x275,x276,x277,x272,x278,x279,x2710,x2711,x2712))
% 207.24/207.90 [28]~E(x281,x282)+E(f513(x283,x284,x285,x286,x287,x288,x281,x289,x2810,x2811,x2812),f513(x283,x284,x285,x286,x287,x288,x282,x289,x2810,x2811,x2812))
% 207.24/207.90 [29]~E(x291,x292)+E(f513(x293,x294,x295,x296,x297,x298,x299,x291,x2910,x2911,x2912),f513(x293,x294,x295,x296,x297,x298,x299,x292,x2910,x2911,x2912))
% 207.24/207.90 [30]~E(x301,x302)+E(f513(x303,x304,x305,x306,x307,x308,x309,x3010,x301,x3011,x3012),f513(x303,x304,x305,x306,x307,x308,x309,x3010,x302,x3011,x3012))
% 207.24/207.90 [31]~E(x311,x312)+E(f513(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x311,x3112),f513(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x312,x3112))
% 207.24/207.90 [32]~E(x321,x322)+E(f513(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x321),f513(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x322))
% 207.24/207.90 [33]~E(x331,x332)+E(f78(x331),f78(x332))
% 207.24/207.90 [34]~E(x341,x342)+E(f917(x341),f917(x342))
% 207.24/207.90 [35]~E(x351,x352)+E(f512(x351,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f512(x352,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512))
% 207.24/207.90 [36]~E(x361,x362)+E(f512(x363,x361,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f512(x363,x362,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612))
% 207.24/207.90 [37]~E(x371,x372)+E(f512(x373,x374,x371,x375,x376,x377,x378,x379,x3710,x3711,x3712),f512(x373,x374,x372,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 207.24/207.90 [38]~E(x381,x382)+E(f512(x383,x384,x385,x381,x386,x387,x388,x389,x3810,x3811,x3812),f512(x383,x384,x385,x382,x386,x387,x388,x389,x3810,x3811,x3812))
% 207.24/207.90 [39]~E(x391,x392)+E(f512(x393,x394,x395,x396,x391,x397,x398,x399,x3910,x3911,x3912),f512(x393,x394,x395,x396,x392,x397,x398,x399,x3910,x3911,x3912))
% 207.24/207.90 [40]~E(x401,x402)+E(f512(x403,x404,x405,x406,x407,x401,x408,x409,x4010,x4011,x4012),f512(x403,x404,x405,x406,x407,x402,x408,x409,x4010,x4011,x4012))
% 207.24/207.90 [41]~E(x411,x412)+E(f512(x413,x414,x415,x416,x417,x418,x411,x419,x4110,x4111,x4112),f512(x413,x414,x415,x416,x417,x418,x412,x419,x4110,x4111,x4112))
% 207.24/207.90 [42]~E(x421,x422)+E(f512(x423,x424,x425,x426,x427,x428,x429,x421,x4210,x4211,x4212),f512(x423,x424,x425,x426,x427,x428,x429,x422,x4210,x4211,x4212))
% 207.24/207.90 [43]~E(x431,x432)+E(f512(x433,x434,x435,x436,x437,x438,x439,x4310,x431,x4311,x4312),f512(x433,x434,x435,x436,x437,x438,x439,x4310,x432,x4311,x4312))
% 207.24/207.90 [44]~E(x441,x442)+E(f512(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x441,x4412),f512(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x442,x4412))
% 207.24/207.90 [45]~E(x451,x452)+E(f512(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x451),f512(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x452))
% 207.24/207.90 [46]~E(x461,x462)+E(f4(x461),f4(x462))
% 207.24/207.90 [47]~E(x471,x472)+E(f329(x471),f329(x472))
% 207.24/207.90 [48]~E(x481,x482)+E(f235(x481),f235(x482))
% 207.24/207.90 [49]~E(x491,x492)+E(f112(x491),f112(x492))
% 207.24/207.90 [50]~E(x501,x502)+E(f921(x501,x503),f921(x502,x503))
% 207.24/207.90 [51]~E(x511,x512)+E(f921(x513,x511),f921(x513,x512))
% 207.24/207.90 [52]~E(x521,x522)+E(f913(x521),f913(x522))
% 207.24/207.90 [53]~E(x531,x532)+E(f114(x531),f114(x532))
% 207.24/207.90 [54]~E(x541,x542)+E(f81(x541),f81(x542))
% 207.24/207.90 [55]~E(x551,x552)+E(f41(x551,x553),f41(x552,x553))
% 207.24/207.90 [56]~E(x561,x562)+E(f41(x563,x561),f41(x563,x562))
% 207.24/207.90 [57]~E(x571,x572)+E(f79(x571),f79(x572))
% 207.24/207.90 [58]~E(x581,x582)+E(f152(x581),f152(x582))
% 207.24/207.90 [59]~E(x591,x592)+E(f191(x591),f191(x592))
% 207.24/207.90 [60]~E(x601,x602)+E(f303(x601,x603,x604),f303(x602,x603,x604))
% 207.24/207.90 [61]~E(x611,x612)+E(f303(x613,x611,x614),f303(x613,x612,x614))
% 207.24/207.90 [62]~E(x621,x622)+E(f303(x623,x624,x621),f303(x623,x624,x622))
% 207.24/207.90 [63]~E(x631,x632)+E(f105(x631),f105(x632))
% 207.24/207.90 [64]~E(x641,x642)+E(f179(x641,x643),f179(x642,x643))
% 207.24/207.90 [65]~E(x651,x652)+E(f179(x653,x651),f179(x653,x652))
% 207.24/207.90 [66]~E(x661,x662)+E(f571(x661,x663,x664),f571(x662,x663,x664))
% 207.24/207.90 [67]~E(x671,x672)+E(f571(x673,x671,x674),f571(x673,x672,x674))
% 207.24/207.90 [68]~E(x681,x682)+E(f571(x683,x684,x681),f571(x683,x684,x682))
% 207.24/207.90 [69]~E(x691,x692)+E(f252(x691,x693),f252(x692,x693))
% 207.24/207.90 [70]~E(x701,x702)+E(f252(x703,x701),f252(x703,x702))
% 207.24/207.90 [71]~E(x711,x712)+E(f82(x711,x713),f82(x712,x713))
% 207.24/207.90 [72]~E(x721,x722)+E(f82(x723,x721),f82(x723,x722))
% 207.24/207.90 [73]~E(x731,x732)+E(f242(x731),f242(x732))
% 207.24/207.90 [74]~E(x741,x742)+E(f7(x741,x743,x744),f7(x742,x743,x744))
% 207.24/207.90 [75]~E(x751,x752)+E(f7(x753,x751,x754),f7(x753,x752,x754))
% 207.24/207.90 [76]~E(x761,x762)+E(f7(x763,x764,x761),f7(x763,x764,x762))
% 207.24/207.90 [77]~E(x771,x772)+E(f234(x771),f234(x772))
% 207.24/207.90 [78]~E(x781,x782)+E(f13(x781,x783),f13(x782,x783))
% 207.24/207.90 [79]~E(x791,x792)+E(f13(x793,x791),f13(x793,x792))
% 207.24/207.90 [80]~E(x801,x802)+E(f80(x801),f80(x802))
% 207.24/207.90 [81]~E(x811,x812)+E(f310(x811,x813,x814),f310(x812,x813,x814))
% 207.24/207.90 [82]~E(x821,x822)+E(f310(x823,x821,x824),f310(x823,x822,x824))
% 207.24/207.90 [83]~E(x831,x832)+E(f310(x833,x834,x831),f310(x833,x834,x832))
% 207.24/207.90 [84]~E(x841,x842)+E(f244(x841),f244(x842))
% 207.24/207.90 [85]~E(x851,x852)+E(f821(x851,x853),f821(x852,x853))
% 207.24/207.90 [86]~E(x861,x862)+E(f821(x863,x861),f821(x863,x862))
% 207.24/207.90 [87]~E(x871,x872)+E(f61(x871),f61(x872))
% 207.24/207.90 [88]~E(x881,x882)+E(f306(x881,x883,x884),f306(x882,x883,x884))
% 207.24/207.90 [89]~E(x891,x892)+E(f306(x893,x891,x894),f306(x893,x892,x894))
% 207.24/207.90 [90]~E(x901,x902)+E(f306(x903,x904,x901),f306(x903,x904,x902))
% 207.24/207.90 [91]~E(x911,x912)+E(f8(x911,x913,x914),f8(x912,x913,x914))
% 207.24/207.90 [92]~E(x921,x922)+E(f8(x923,x921,x924),f8(x923,x922,x924))
% 207.24/207.90 [93]~E(x931,x932)+E(f8(x933,x934,x931),f8(x933,x934,x932))
% 207.24/207.90 [94]~E(x941,x942)+E(f35(x941),f35(x942))
% 207.24/207.90 [95]~E(x951,x952)+E(f291(x951),f291(x952))
% 207.24/207.90 [96]~E(x961,x962)+E(f40(x961,x963),f40(x962,x963))
% 207.24/207.90 [97]~E(x971,x972)+E(f40(x973,x971),f40(x973,x972))
% 207.24/207.90 [98]~E(x981,x982)+E(f302(x981,x983),f302(x982,x983))
% 207.24/207.90 [99]~E(x991,x992)+E(f302(x993,x991),f302(x993,x992))
% 207.24/207.90 [100]~E(x1001,x1002)+E(f18(x1001,x1003,x1004),f18(x1002,x1003,x1004))
% 207.24/207.90 [101]~E(x1011,x1012)+E(f18(x1013,x1011,x1014),f18(x1013,x1012,x1014))
% 207.24/207.90 [102]~E(x1021,x1022)+E(f18(x1023,x1024,x1021),f18(x1023,x1024,x1022))
% 207.24/207.90 [103]~E(x1031,x1032)+E(f158(x1031,x1033),f158(x1032,x1033))
% 207.24/207.90 [104]~E(x1041,x1042)+E(f158(x1043,x1041),f158(x1043,x1042))
% 207.24/207.90 [105]~E(x1051,x1052)+E(f676(x1051,x1053,x1054,x1055,x1056),f676(x1052,x1053,x1054,x1055,x1056))
% 207.24/207.90 [106]~E(x1061,x1062)+E(f676(x1063,x1061,x1064,x1065,x1066),f676(x1063,x1062,x1064,x1065,x1066))
% 207.24/207.90 [107]~E(x1071,x1072)+E(f676(x1073,x1074,x1071,x1075,x1076),f676(x1073,x1074,x1072,x1075,x1076))
% 207.24/207.90 [108]~E(x1081,x1082)+E(f676(x1083,x1084,x1085,x1081,x1086),f676(x1083,x1084,x1085,x1082,x1086))
% 207.24/207.90 [109]~E(x1091,x1092)+E(f676(x1093,x1094,x1095,x1096,x1091),f676(x1093,x1094,x1095,x1096,x1092))
% 207.24/207.90 [110]~E(x1101,x1102)+E(f254(x1101,x1103),f254(x1102,x1103))
% 207.24/207.90 [111]~E(x1111,x1112)+E(f254(x1113,x1111),f254(x1113,x1112))
% 207.24/207.90 [112]~E(x1121,x1122)+E(f173(x1121),f173(x1122))
% 207.24/207.90 [113]~E(x1131,x1132)+E(f36(x1131),f36(x1132))
% 207.24/207.90 [114]~E(x1141,x1142)+E(f315(x1141,x1143),f315(x1142,x1143))
% 207.24/207.90 [115]~E(x1151,x1152)+E(f315(x1153,x1151),f315(x1153,x1152))
% 207.24/207.90 [116]~E(x1161,x1162)+E(f37(x1161),f37(x1162))
% 207.24/207.90 [117]~E(x1171,x1172)+E(f243(x1171,x1173,x1174),f243(x1172,x1173,x1174))
% 207.24/207.90 [118]~E(x1181,x1182)+E(f243(x1183,x1181,x1184),f243(x1183,x1182,x1184))
% 207.24/207.90 [119]~E(x1191,x1192)+E(f243(x1193,x1194,x1191),f243(x1193,x1194,x1192))
% 207.24/207.90 [120]~E(x1201,x1202)+E(f46(x1201,x1203,x1204),f46(x1202,x1203,x1204))
% 207.24/207.90 [121]~E(x1211,x1212)+E(f46(x1213,x1211,x1214),f46(x1213,x1212,x1214))
% 207.24/207.90 [122]~E(x1221,x1222)+E(f46(x1223,x1224,x1221),f46(x1223,x1224,x1222))
% 207.24/207.90 [123]~E(x1231,x1232)+E(f75(x1231),f75(x1232))
% 207.24/207.90 [124]~E(x1241,x1242)+E(f286(x1241,x1243),f286(x1242,x1243))
% 207.24/207.90 [125]~E(x1251,x1252)+E(f286(x1253,x1251),f286(x1253,x1252))
% 207.24/207.90 [126]~E(x1261,x1262)+E(f138(x1261),f138(x1262))
% 207.24/207.90 [127]~E(x1271,x1272)+E(f248(x1271,x1273),f248(x1272,x1273))
% 207.24/207.90 [128]~E(x1281,x1282)+E(f248(x1283,x1281),f248(x1283,x1282))
% 207.24/207.90 [129]~E(x1291,x1292)+E(f309(x1291),f309(x1292))
% 207.24/207.90 [130]~E(x1301,x1302)+E(f727(x1301,x1303),f727(x1302,x1303))
% 207.24/207.90 [131]~E(x1311,x1312)+E(f727(x1313,x1311),f727(x1313,x1312))
% 207.24/207.90 [132]~E(x1321,x1322)+E(f257(x1321,x1323,x1324),f257(x1322,x1323,x1324))
% 207.24/207.90 [133]~E(x1331,x1332)+E(f257(x1333,x1331,x1334),f257(x1333,x1332,x1334))
% 207.24/207.90 [134]~E(x1341,x1342)+E(f257(x1343,x1344,x1341),f257(x1343,x1344,x1342))
% 207.24/207.90 [135]~E(x1351,x1352)+E(f139(x1351),f139(x1352))
% 207.24/207.90 [136]~E(x1361,x1362)+E(f251(x1361,x1363),f251(x1362,x1363))
% 207.24/207.90 [137]~E(x1371,x1372)+E(f251(x1373,x1371),f251(x1373,x1372))
% 207.24/207.90 [138]~E(x1381,x1382)+E(f570(x1381,x1383,x1384),f570(x1382,x1383,x1384))
% 207.24/207.90 [139]~E(x1391,x1392)+E(f570(x1393,x1391,x1394),f570(x1393,x1392,x1394))
% 207.24/207.90 [140]~E(x1401,x1402)+E(f570(x1403,x1404,x1401),f570(x1403,x1404,x1402))
% 207.24/207.90 [141]~E(x1411,x1412)+E(f6(x1411,x1413),f6(x1412,x1413))
% 207.24/207.90 [142]~E(x1421,x1422)+E(f6(x1423,x1421),f6(x1423,x1422))
% 207.24/207.90 [143]~E(x1431,x1432)+E(f107(x1431),f107(x1432))
% 207.24/207.90 [144]~E(x1441,x1442)+E(f109(x1441),f109(x1442))
% 207.24/207.90 [145]~E(x1451,x1452)+E(f328(x1451),f328(x1452))
% 207.24/207.90 [146]~E(x1461,x1462)+E(f64(x1461,x1463,x1464),f64(x1462,x1463,x1464))
% 207.24/207.90 [147]~E(x1471,x1472)+E(f64(x1473,x1471,x1474),f64(x1473,x1472,x1474))
% 207.24/207.90 [148]~E(x1481,x1482)+E(f64(x1483,x1484,x1481),f64(x1483,x1484,x1482))
% 207.24/207.90 [149]~E(x1491,x1492)+E(f572(x1491),f572(x1492))
% 207.24/207.90 [150]~E(x1501,x1502)+E(f790(x1501,x1503,x1504,x1505),f790(x1502,x1503,x1504,x1505))
% 207.24/207.90 [151]~E(x1511,x1512)+E(f790(x1513,x1511,x1514,x1515),f790(x1513,x1512,x1514,x1515))
% 207.24/207.90 [152]~E(x1521,x1522)+E(f790(x1523,x1524,x1521,x1525),f790(x1523,x1524,x1522,x1525))
% 207.24/207.90 [153]~E(x1531,x1532)+E(f790(x1533,x1534,x1535,x1531),f790(x1533,x1534,x1535,x1532))
% 207.24/207.90 [154]~E(x1541,x1542)+E(f135(x1541),f135(x1542))
% 207.24/207.90 [155]~E(x1551,x1552)+E(f241(x1551,x1553),f241(x1552,x1553))
% 207.24/207.90 [156]~E(x1561,x1562)+E(f241(x1563,x1561),f241(x1563,x1562))
% 207.24/207.90 [157]~E(x1571,x1572)+E(f262(x1571),f262(x1572))
% 207.24/207.90 [158]~E(x1581,x1582)+E(f784(x1581,x1583),f784(x1582,x1583))
% 207.24/207.90 [159]~E(x1591,x1592)+E(f784(x1593,x1591),f784(x1593,x1592))
% 207.24/207.90 [160]~E(x1601,x1602)+E(f10(x1601,x1603),f10(x1602,x1603))
% 207.24/207.90 [161]~E(x1611,x1612)+E(f10(x1613,x1611),f10(x1613,x1612))
% 207.24/207.90 [162]~E(x1621,x1622)+E(f336(x1621,x1623,x1624),f336(x1622,x1623,x1624))
% 207.24/207.90 [163]~E(x1631,x1632)+E(f336(x1633,x1631,x1634),f336(x1633,x1632,x1634))
% 207.24/207.90 [164]~E(x1641,x1642)+E(f336(x1643,x1644,x1641),f336(x1643,x1644,x1642))
% 207.24/207.90 [165]~E(x1651,x1652)+E(f5(x1651),f5(x1652))
% 207.24/207.90 [166]~E(x1661,x1662)+E(f63(x1661,x1663),f63(x1662,x1663))
% 207.24/207.90 [167]~E(x1671,x1672)+E(f63(x1673,x1671),f63(x1673,x1672))
% 207.24/207.90 [168]~E(x1681,x1682)+E(f9(x1681,x1683),f9(x1682,x1683))
% 207.24/207.90 [169]~E(x1691,x1692)+E(f9(x1693,x1691),f9(x1693,x1692))
% 207.24/207.90 [170]~E(x1701,x1702)+E(f159(x1701,x1703),f159(x1702,x1703))
% 207.24/207.90 [171]~E(x1711,x1712)+E(f159(x1713,x1711),f159(x1713,x1712))
% 207.24/207.90 [172]~E(x1721,x1722)+E(f588(x1721,x1723,x1724),f588(x1722,x1723,x1724))
% 207.24/207.90 [173]~E(x1731,x1732)+E(f588(x1733,x1731,x1734),f588(x1733,x1732,x1734))
% 207.24/207.90 [174]~E(x1741,x1742)+E(f588(x1743,x1744,x1741),f588(x1743,x1744,x1742))
% 207.24/207.90 [175]~E(x1751,x1752)+E(f38(x1751,x1753),f38(x1752,x1753))
% 207.24/207.90 [176]~E(x1761,x1762)+E(f38(x1763,x1761),f38(x1763,x1762))
% 207.24/207.90 [177]~E(x1771,x1772)+E(f72(x1771,x1773,x1774,x1775),f72(x1772,x1773,x1774,x1775))
% 207.24/207.90 [178]~E(x1781,x1782)+E(f72(x1783,x1781,x1784,x1785),f72(x1783,x1782,x1784,x1785))
% 207.24/207.90 [179]~E(x1791,x1792)+E(f72(x1793,x1794,x1791,x1795),f72(x1793,x1794,x1792,x1795))
% 207.24/207.90 [180]~E(x1801,x1802)+E(f72(x1803,x1804,x1805,x1801),f72(x1803,x1804,x1805,x1802))
% 207.24/207.90 [181]~E(x1811,x1812)+E(f289(x1811,x1813,x1814),f289(x1812,x1813,x1814))
% 207.24/207.90 [182]~E(x1821,x1822)+E(f289(x1823,x1821,x1824),f289(x1823,x1822,x1824))
% 207.24/207.90 [183]~E(x1831,x1832)+E(f289(x1833,x1834,x1831),f289(x1833,x1834,x1832))
% 207.24/207.90 [184]~E(x1841,x1842)+E(f49(x1841,x1843),f49(x1842,x1843))
% 207.24/207.90 [185]~E(x1851,x1852)+E(f49(x1853,x1851),f49(x1853,x1852))
% 207.24/207.90 [186]~E(x1861,x1862)+E(f285(x1861,x1863,x1864),f285(x1862,x1863,x1864))
% 207.24/207.90 [187]~E(x1871,x1872)+E(f285(x1873,x1871,x1874),f285(x1873,x1872,x1874))
% 207.24/207.90 [188]~E(x1881,x1882)+E(f285(x1883,x1884,x1881),f285(x1883,x1884,x1882))
% 207.24/207.90 [189]~E(x1891,x1892)+E(f77(x1891,x1893,x1894,x1895),f77(x1892,x1893,x1894,x1895))
% 207.24/207.90 [190]~E(x1901,x1902)+E(f77(x1903,x1901,x1904,x1905),f77(x1903,x1902,x1904,x1905))
% 207.24/207.90 [191]~E(x1911,x1912)+E(f77(x1913,x1914,x1911,x1915),f77(x1913,x1914,x1912,x1915))
% 207.24/207.90 [192]~E(x1921,x1922)+E(f77(x1923,x1924,x1925,x1921),f77(x1923,x1924,x1925,x1922))
% 207.24/207.90 [193]~E(x1931,x1932)+E(f489(x1931,x1933),f489(x1932,x1933))
% 207.24/207.90 [194]~E(x1941,x1942)+E(f489(x1943,x1941),f489(x1943,x1942))
% 207.24/207.90 [195]~E(x1951,x1952)+E(f157(x1951,x1953,x1954,x1955),f157(x1952,x1953,x1954,x1955))
% 207.24/207.90 [196]~E(x1961,x1962)+E(f157(x1963,x1961,x1964,x1965),f157(x1963,x1962,x1964,x1965))
% 207.24/207.90 [197]~E(x1971,x1972)+E(f157(x1973,x1974,x1971,x1975),f157(x1973,x1974,x1972,x1975))
% 207.24/207.90 [198]~E(x1981,x1982)+E(f157(x1983,x1984,x1985,x1981),f157(x1983,x1984,x1985,x1982))
% 207.24/207.90 [199]~E(x1991,x1992)+E(f27(x1991,x1993,x1994),f27(x1992,x1993,x1994))
% 207.24/207.90 [200]~E(x2001,x2002)+E(f27(x2003,x2001,x2004),f27(x2003,x2002,x2004))
% 207.24/207.90 [201]~E(x2011,x2012)+E(f27(x2013,x2014,x2011),f27(x2013,x2014,x2012))
% 207.24/207.90 [202]~E(x2021,x2022)+E(f74(x2021,x2023,x2024,x2025,x2026),f74(x2022,x2023,x2024,x2025,x2026))
% 207.24/207.90 [203]~E(x2031,x2032)+E(f74(x2033,x2031,x2034,x2035,x2036),f74(x2033,x2032,x2034,x2035,x2036))
% 207.24/207.90 [204]~E(x2041,x2042)+E(f74(x2043,x2044,x2041,x2045,x2046),f74(x2043,x2044,x2042,x2045,x2046))
% 207.24/207.90 [205]~E(x2051,x2052)+E(f74(x2053,x2054,x2055,x2051,x2056),f74(x2053,x2054,x2055,x2052,x2056))
% 207.24/207.90 [206]~E(x2061,x2062)+E(f74(x2063,x2064,x2065,x2066,x2061),f74(x2063,x2064,x2065,x2066,x2062))
% 207.24/207.90 [207]~E(x2071,x2072)+E(f85(x2071,x2073),f85(x2072,x2073))
% 207.24/207.90 [208]~E(x2081,x2082)+E(f85(x2083,x2081),f85(x2083,x2082))
% 207.24/207.90 [209]~E(x2091,x2092)+E(f115(x2091,x2093),f115(x2092,x2093))
% 207.24/207.90 [210]~E(x2101,x2102)+E(f115(x2103,x2101),f115(x2103,x2102))
% 207.24/207.90 [211]~E(x2111,x2112)+E(f186(x2111,x2113,x2114,x2115),f186(x2112,x2113,x2114,x2115))
% 207.24/207.90 [212]~E(x2121,x2122)+E(f186(x2123,x2121,x2124,x2125),f186(x2123,x2122,x2124,x2125))
% 207.24/207.90 [213]~E(x2131,x2132)+E(f186(x2133,x2134,x2131,x2135),f186(x2133,x2134,x2132,x2135))
% 207.24/207.90 [214]~E(x2141,x2142)+E(f186(x2143,x2144,x2145,x2141),f186(x2143,x2144,x2145,x2142))
% 207.24/207.90 [215]~E(x2151,x2152)+E(f311(x2151,x2153,x2154),f311(x2152,x2153,x2154))
% 207.24/207.90 [216]~E(x2161,x2162)+E(f311(x2163,x2161,x2164),f311(x2163,x2162,x2164))
% 207.24/207.90 [217]~E(x2171,x2172)+E(f311(x2173,x2174,x2171),f311(x2173,x2174,x2172))
% 207.24/207.90 [218]~E(x2181,x2182)+E(f87(x2181),f87(x2182))
% 207.24/207.90 [219]~E(x2191,x2192)+E(f316(x2191,x2193),f316(x2192,x2193))
% 207.24/207.90 [220]~E(x2201,x2202)+E(f316(x2203,x2201),f316(x2203,x2202))
% 207.24/207.90 [221]~E(x2211,x2212)+E(f292(x2211,x2213),f292(x2212,x2213))
% 207.24/207.90 [222]~E(x2221,x2222)+E(f292(x2223,x2221),f292(x2223,x2222))
% 207.24/207.90 [223]~E(x2231,x2232)+E(f264(x2231,x2233),f264(x2232,x2233))
% 207.24/207.90 [224]~E(x2241,x2242)+E(f264(x2243,x2241),f264(x2243,x2242))
% 207.24/207.90 [225]~E(x2251,x2252)+E(f26(x2251,x2253,x2254),f26(x2252,x2253,x2254))
% 207.24/207.90 [226]~E(x2261,x2262)+E(f26(x2263,x2261,x2264),f26(x2263,x2262,x2264))
% 207.24/207.90 [227]~E(x2271,x2272)+E(f26(x2273,x2274,x2271),f26(x2273,x2274,x2272))
% 207.24/207.90 [228]~E(x2281,x2282)+E(f176(x2281),f176(x2282))
% 207.24/207.90 [229]~E(x2291,x2292)+E(f860(x2291,x2293,x2294),f860(x2292,x2293,x2294))
% 207.24/207.90 [230]~E(x2301,x2302)+E(f860(x2303,x2301,x2304),f860(x2303,x2302,x2304))
% 207.24/207.90 [231]~E(x2311,x2312)+E(f860(x2313,x2314,x2311),f860(x2313,x2314,x2312))
% 207.24/207.90 [232]~E(x2321,x2322)+E(f16(x2321,x2323),f16(x2322,x2323))
% 207.24/207.90 [233]~E(x2331,x2332)+E(f16(x2333,x2331),f16(x2333,x2332))
% 207.24/207.90 [234]~E(x2341,x2342)+E(f92(x2341,x2343,x2344,x2345),f92(x2342,x2343,x2344,x2345))
% 207.24/207.90 [235]~E(x2351,x2352)+E(f92(x2353,x2351,x2354,x2355),f92(x2353,x2352,x2354,x2355))
% 207.24/207.90 [236]~E(x2361,x2362)+E(f92(x2363,x2364,x2361,x2365),f92(x2363,x2364,x2362,x2365))
% 207.24/207.90 [237]~E(x2371,x2372)+E(f92(x2373,x2374,x2375,x2371),f92(x2373,x2374,x2375,x2372))
% 207.24/207.90 [238]~E(x2381,x2382)+E(f165(x2381),f165(x2382))
% 207.24/207.90 [239]~E(x2391,x2392)+E(f166(x2391),f166(x2392))
% 207.24/207.90 [240]~E(x2401,x2402)+E(f155(x2401,x2403),f155(x2402,x2403))
% 207.24/207.90 [241]~E(x2411,x2412)+E(f155(x2413,x2411),f155(x2413,x2412))
% 207.24/207.90 [242]~E(x2421,x2422)+E(f725(x2421,x2423),f725(x2422,x2423))
% 207.24/207.90 [243]~E(x2431,x2432)+E(f725(x2433,x2431),f725(x2433,x2432))
% 207.24/207.90 [244]~E(x2441,x2442)+E(f169(x2441),f169(x2442))
% 207.24/207.90 [245]~E(x2451,x2452)+E(f419(x2451,x2453,x2454),f419(x2452,x2453,x2454))
% 207.24/207.90 [246]~E(x2461,x2462)+E(f419(x2463,x2461,x2464),f419(x2463,x2462,x2464))
% 207.24/207.90 [247]~E(x2471,x2472)+E(f419(x2473,x2474,x2471),f419(x2473,x2474,x2472))
% 207.24/207.90 [248]~E(x2481,x2482)+E(f379(x2481),f379(x2482))
% 207.24/207.90 [249]~E(x2491,x2492)+E(f714(x2491,x2493,x2494),f714(x2492,x2493,x2494))
% 207.24/207.90 [250]~E(x2501,x2502)+E(f714(x2503,x2501,x2504),f714(x2503,x2502,x2504))
% 207.24/207.90 [251]~E(x2511,x2512)+E(f714(x2513,x2514,x2511),f714(x2513,x2514,x2512))
% 207.24/207.90 [252]~E(x2521,x2522)+E(f689(x2521,x2523,x2524),f689(x2522,x2523,x2524))
% 207.24/207.90 [253]~E(x2531,x2532)+E(f689(x2533,x2531,x2534),f689(x2533,x2532,x2534))
% 207.24/207.90 [254]~E(x2541,x2542)+E(f689(x2543,x2544,x2541),f689(x2543,x2544,x2542))
% 207.24/207.90 [255]~E(x2551,x2552)+E(f272(x2551,x2553),f272(x2552,x2553))
% 207.24/207.90 [256]~E(x2561,x2562)+E(f272(x2563,x2561),f272(x2563,x2562))
% 207.24/207.90 [257]~E(x2571,x2572)+E(f828(x2571,x2573,x2574,x2575),f828(x2572,x2573,x2574,x2575))
% 207.24/207.90 [258]~E(x2581,x2582)+E(f828(x2583,x2581,x2584,x2585),f828(x2583,x2582,x2584,x2585))
% 207.24/207.90 [259]~E(x2591,x2592)+E(f828(x2593,x2594,x2591,x2595),f828(x2593,x2594,x2592,x2595))
% 207.24/207.90 [260]~E(x2601,x2602)+E(f828(x2603,x2604,x2605,x2601),f828(x2603,x2604,x2605,x2602))
% 207.24/207.90 [261]~E(x2611,x2612)+E(f137(x2611,x2613),f137(x2612,x2613))
% 207.24/207.90 [262]~E(x2621,x2622)+E(f137(x2623,x2621),f137(x2623,x2622))
% 207.24/207.90 [263]~E(x2631,x2632)+E(f153(x2631,x2633),f153(x2632,x2633))
% 207.24/207.90 [264]~E(x2641,x2642)+E(f153(x2643,x2641),f153(x2643,x2642))
% 207.24/207.90 [265]~E(x2651,x2652)+E(f835(x2651,x2653,x2654,x2655,x2656,x2657,x2658,x2659),f835(x2652,x2653,x2654,x2655,x2656,x2657,x2658,x2659))
% 207.24/207.90 [266]~E(x2661,x2662)+E(f835(x2663,x2661,x2664,x2665,x2666,x2667,x2668,x2669),f835(x2663,x2662,x2664,x2665,x2666,x2667,x2668,x2669))
% 207.24/207.90 [267]~E(x2671,x2672)+E(f835(x2673,x2674,x2671,x2675,x2676,x2677,x2678,x2679),f835(x2673,x2674,x2672,x2675,x2676,x2677,x2678,x2679))
% 207.24/207.90 [268]~E(x2681,x2682)+E(f835(x2683,x2684,x2685,x2681,x2686,x2687,x2688,x2689),f835(x2683,x2684,x2685,x2682,x2686,x2687,x2688,x2689))
% 207.24/207.90 [269]~E(x2691,x2692)+E(f835(x2693,x2694,x2695,x2696,x2691,x2697,x2698,x2699),f835(x2693,x2694,x2695,x2696,x2692,x2697,x2698,x2699))
% 207.24/207.90 [270]~E(x2701,x2702)+E(f835(x2703,x2704,x2705,x2706,x2707,x2701,x2708,x2709),f835(x2703,x2704,x2705,x2706,x2707,x2702,x2708,x2709))
% 207.24/207.90 [271]~E(x2711,x2712)+E(f835(x2713,x2714,x2715,x2716,x2717,x2718,x2711,x2719),f835(x2713,x2714,x2715,x2716,x2717,x2718,x2712,x2719))
% 207.24/207.90 [272]~E(x2721,x2722)+E(f835(x2723,x2724,x2725,x2726,x2727,x2728,x2729,x2721),f835(x2723,x2724,x2725,x2726,x2727,x2728,x2729,x2722))
% 207.24/207.90 [273]~E(x2731,x2732)+E(f193(x2731),f193(x2732))
% 207.24/207.90 [274]~E(x2741,x2742)+E(f15(x2741,x2743),f15(x2742,x2743))
% 207.24/207.90 [275]~E(x2751,x2752)+E(f15(x2753,x2751),f15(x2753,x2752))
% 207.24/207.90 [276]~E(x2761,x2762)+E(f116(x2761),f116(x2762))
% 207.24/207.90 [277]~E(x2771,x2772)+E(f920(x2771,x2773),f920(x2772,x2773))
% 207.24/207.90 [278]~E(x2781,x2782)+E(f920(x2783,x2781),f920(x2783,x2782))
% 207.24/207.90 [279]~E(x2791,x2792)+E(f341(x2791,x2793,x2794,x2795),f341(x2792,x2793,x2794,x2795))
% 207.24/207.90 [280]~E(x2801,x2802)+E(f341(x2803,x2801,x2804,x2805),f341(x2803,x2802,x2804,x2805))
% 207.24/207.90 [281]~E(x2811,x2812)+E(f341(x2813,x2814,x2811,x2815),f341(x2813,x2814,x2812,x2815))
% 207.24/207.90 [282]~E(x2821,x2822)+E(f341(x2823,x2824,x2825,x2821),f341(x2823,x2824,x2825,x2822))
% 207.24/207.90 [283]~E(x2831,x2832)+E(f919(x2831,x2833),f919(x2832,x2833))
% 207.24/207.90 [284]~E(x2841,x2842)+E(f919(x2843,x2841),f919(x2843,x2842))
% 207.24/207.90 [285]~E(x2851,x2852)+E(f168(x2851),f168(x2852))
% 207.24/207.90 [286]~E(x2861,x2862)+E(f11(x2861,x2863,x2864),f11(x2862,x2863,x2864))
% 207.24/207.90 [287]~E(x2871,x2872)+E(f11(x2873,x2871,x2874),f11(x2873,x2872,x2874))
% 207.24/207.90 [288]~E(x2881,x2882)+E(f11(x2883,x2884,x2881),f11(x2883,x2884,x2882))
% 207.24/207.90 [289]~E(x2891,x2892)+E(f12(x2891,x2893,x2894),f12(x2892,x2893,x2894))
% 207.24/207.90 [290]~E(x2901,x2902)+E(f12(x2903,x2901,x2904),f12(x2903,x2902,x2904))
% 207.24/207.90 [291]~E(x2911,x2912)+E(f12(x2913,x2914,x2911),f12(x2913,x2914,x2912))
% 207.24/207.90 [292]~E(x2921,x2922)+E(f282(x2921),f282(x2922))
% 207.24/207.90 [293]~E(x2931,x2932)+E(f172(x2931),f172(x2932))
% 207.24/207.90 [294]~E(x2941,x2942)+E(f66(x2941,x2943,x2944,x2945,x2946),f66(x2942,x2943,x2944,x2945,x2946))
% 207.24/207.90 [295]~E(x2951,x2952)+E(f66(x2953,x2951,x2954,x2955,x2956),f66(x2953,x2952,x2954,x2955,x2956))
% 207.24/207.90 [296]~E(x2961,x2962)+E(f66(x2963,x2964,x2961,x2965,x2966),f66(x2963,x2964,x2962,x2965,x2966))
% 207.24/207.90 [297]~E(x2971,x2972)+E(f66(x2973,x2974,x2975,x2971,x2976),f66(x2973,x2974,x2975,x2972,x2976))
% 207.24/207.90 [298]~E(x2981,x2982)+E(f66(x2983,x2984,x2985,x2986,x2981),f66(x2983,x2984,x2985,x2986,x2982))
% 207.24/207.90 [299]~E(x2991,x2992)+E(f774(x2991,x2993,x2994),f774(x2992,x2993,x2994))
% 207.24/207.90 [300]~E(x3001,x3002)+E(f774(x3003,x3001,x3004),f774(x3003,x3002,x3004))
% 207.24/207.90 [301]~E(x3011,x3012)+E(f774(x3013,x3014,x3011),f774(x3013,x3014,x3012))
% 207.24/207.90 [302]~E(x3021,x3022)+E(f400(x3021,x3023,x3024),f400(x3022,x3023,x3024))
% 207.24/207.90 [303]~E(x3031,x3032)+E(f400(x3033,x3031,x3034),f400(x3033,x3032,x3034))
% 207.24/207.90 [304]~E(x3041,x3042)+E(f400(x3043,x3044,x3041),f400(x3043,x3044,x3042))
% 207.24/207.90 [305]~E(x3051,x3052)+E(f180(x3051,x3053),f180(x3052,x3053))
% 207.24/207.90 [306]~E(x3061,x3062)+E(f180(x3063,x3061),f180(x3063,x3062))
% 207.24/207.90 [307]~E(x3071,x3072)+E(f65(x3071,x3073,x3074),f65(x3072,x3073,x3074))
% 207.24/207.90 [308]~E(x3081,x3082)+E(f65(x3083,x3081,x3084),f65(x3083,x3082,x3084))
% 207.24/207.90 [309]~E(x3091,x3092)+E(f65(x3093,x3094,x3091),f65(x3093,x3094,x3092))
% 207.24/207.90 [310]~E(x3101,x3102)+E(f803(x3101),f803(x3102))
% 207.24/207.90 [311]~E(x3111,x3112)+E(f857(x3111,x3113,x3114),f857(x3112,x3113,x3114))
% 207.24/207.90 [312]~E(x3121,x3122)+E(f857(x3123,x3121,x3124),f857(x3123,x3122,x3124))
% 207.24/207.90 [313]~E(x3131,x3132)+E(f857(x3133,x3134,x3131),f857(x3133,x3134,x3132))
% 207.24/207.90 [314]~E(x3141,x3142)+E(f555(x3141,x3143,x3144,x3145),f555(x3142,x3143,x3144,x3145))
% 207.24/207.90 [315]~E(x3151,x3152)+E(f555(x3153,x3151,x3154,x3155),f555(x3153,x3152,x3154,x3155))
% 207.24/207.90 [316]~E(x3161,x3162)+E(f555(x3163,x3164,x3161,x3165),f555(x3163,x3164,x3162,x3165))
% 207.24/207.90 [317]~E(x3171,x3172)+E(f555(x3173,x3174,x3175,x3171),f555(x3173,x3174,x3175,x3172))
% 207.24/207.90 [318]~E(x3181,x3182)+E(f143(x3181,x3183,x3184,x3185),f143(x3182,x3183,x3184,x3185))
% 207.24/207.90 [319]~E(x3191,x3192)+E(f143(x3193,x3191,x3194,x3195),f143(x3193,x3192,x3194,x3195))
% 207.24/207.90 [320]~E(x3201,x3202)+E(f143(x3203,x3204,x3201,x3205),f143(x3203,x3204,x3202,x3205))
% 207.24/207.90 [321]~E(x3211,x3212)+E(f143(x3213,x3214,x3215,x3211),f143(x3213,x3214,x3215,x3212))
% 207.24/207.90 [322]~E(x3221,x3222)+E(f287(x3221),f287(x3222))
% 207.24/207.90 [323]~E(x3231,x3232)+E(f859(x3231,x3233,x3234),f859(x3232,x3233,x3234))
% 207.24/207.90 [324]~E(x3241,x3242)+E(f859(x3243,x3241,x3244),f859(x3243,x3242,x3244))
% 207.24/207.90 [325]~E(x3251,x3252)+E(f859(x3253,x3254,x3251),f859(x3253,x3254,x3252))
% 207.24/207.90 [326]~E(x3261,x3262)+E(f149(x3261,x3263,x3264),f149(x3262,x3263,x3264))
% 207.24/207.90 [327]~E(x3271,x3272)+E(f149(x3273,x3271,x3274),f149(x3273,x3272,x3274))
% 207.24/207.90 [328]~E(x3281,x3282)+E(f149(x3283,x3284,x3281),f149(x3283,x3284,x3282))
% 207.24/207.90 [329]~E(x3291,x3292)+E(f318(x3291,x3293),f318(x3292,x3293))
% 207.24/207.90 [330]~E(x3301,x3302)+E(f318(x3303,x3301),f318(x3303,x3302))
% 207.24/207.90 [331]~E(x3311,x3312)+E(f290(x3311,x3313,x3314,x3315),f290(x3312,x3313,x3314,x3315))
% 207.24/207.90 [332]~E(x3321,x3322)+E(f290(x3323,x3321,x3324,x3325),f290(x3323,x3322,x3324,x3325))
% 207.24/207.90 [333]~E(x3331,x3332)+E(f290(x3333,x3334,x3331,x3335),f290(x3333,x3334,x3332,x3335))
% 207.24/207.90 [334]~E(x3341,x3342)+E(f290(x3343,x3344,x3345,x3341),f290(x3343,x3344,x3345,x3342))
% 207.24/207.90 [335]~E(x3351,x3352)+E(f319(x3351,x3353),f319(x3352,x3353))
% 207.24/207.90 [336]~E(x3361,x3362)+E(f319(x3363,x3361),f319(x3363,x3362))
% 207.24/207.90 [337]~E(x3371,x3372)+E(f697(x3371,x3373,x3374,x3375,x3376),f697(x3372,x3373,x3374,x3375,x3376))
% 207.24/207.90 [338]~E(x3381,x3382)+E(f697(x3383,x3381,x3384,x3385,x3386),f697(x3383,x3382,x3384,x3385,x3386))
% 207.24/207.90 [339]~E(x3391,x3392)+E(f697(x3393,x3394,x3391,x3395,x3396),f697(x3393,x3394,x3392,x3395,x3396))
% 207.24/207.90 [340]~E(x3401,x3402)+E(f697(x3403,x3404,x3405,x3401,x3406),f697(x3403,x3404,x3405,x3402,x3406))
% 207.24/207.90 [341]~E(x3411,x3412)+E(f697(x3413,x3414,x3415,x3416,x3411),f697(x3413,x3414,x3415,x3416,x3412))
% 207.24/207.90 [342]~E(x3421,x3422)+E(f645(x3421,x3423,x3424,x3425,x3426),f645(x3422,x3423,x3424,x3425,x3426))
% 207.24/207.90 [343]~E(x3431,x3432)+E(f645(x3433,x3431,x3434,x3435,x3436),f645(x3433,x3432,x3434,x3435,x3436))
% 207.24/207.90 [344]~E(x3441,x3442)+E(f645(x3443,x3444,x3441,x3445,x3446),f645(x3443,x3444,x3442,x3445,x3446))
% 207.24/207.90 [345]~E(x3451,x3452)+E(f645(x3453,x3454,x3455,x3451,x3456),f645(x3453,x3454,x3455,x3452,x3456))
% 207.24/207.90 [346]~E(x3461,x3462)+E(f645(x3463,x3464,x3465,x3466,x3461),f645(x3463,x3464,x3465,x3466,x3462))
% 207.24/207.90 [347]~E(x3471,x3472)+E(f182(x3471,x3473),f182(x3472,x3473))
% 207.24/207.90 [348]~E(x3481,x3482)+E(f182(x3483,x3481),f182(x3483,x3482))
% 207.24/207.90 [349]~E(x3491,x3492)+E(f377(x3491),f377(x3492))
% 207.24/207.90 [350]~E(x3501,x3502)+E(f849(x3501,x3503,x3504),f849(x3502,x3503,x3504))
% 207.24/207.90 [351]~E(x3511,x3512)+E(f849(x3513,x3511,x3514),f849(x3513,x3512,x3514))
% 207.24/207.90 [352]~E(x3521,x3522)+E(f849(x3523,x3524,x3521),f849(x3523,x3524,x3522))
% 207.24/207.90 [353]~E(x3531,x3532)+E(f162(x3531,x3533),f162(x3532,x3533))
% 207.24/207.90 [354]~E(x3541,x3542)+E(f162(x3543,x3541),f162(x3543,x3542))
% 207.24/207.90 [355]~E(x3551,x3552)+E(f160(x3551,x3553),f160(x3552,x3553))
% 207.24/207.90 [356]~E(x3561,x3562)+E(f160(x3563,x3561),f160(x3563,x3562))
% 207.24/207.90 [357]~E(x3571,x3572)+E(f151(x3571,x3573,x3574,x3575),f151(x3572,x3573,x3574,x3575))
% 207.24/207.90 [358]~E(x3581,x3582)+E(f151(x3583,x3581,x3584,x3585),f151(x3583,x3582,x3584,x3585))
% 207.24/207.90 [359]~E(x3591,x3592)+E(f151(x3593,x3594,x3591,x3595),f151(x3593,x3594,x3592,x3595))
% 207.24/207.90 [360]~E(x3601,x3602)+E(f151(x3603,x3604,x3605,x3601),f151(x3603,x3604,x3605,x3602))
% 207.24/207.90 [361]~E(x3611,x3612)+E(f307(x3611,x3613),f307(x3612,x3613))
% 207.24/207.90 [362]~E(x3621,x3622)+E(f307(x3623,x3621),f307(x3623,x3622))
% 207.24/207.90 [363]~E(x3631,x3632)+E(f140(x3631,x3633),f140(x3632,x3633))
% 207.24/207.90 [364]~E(x3641,x3642)+E(f140(x3643,x3641),f140(x3643,x3642))
% 207.24/207.90 [365]~E(x3651,x3652)+E(f438(x3651,x3653,x3654,x3655),f438(x3652,x3653,x3654,x3655))
% 207.24/207.90 [366]~E(x3661,x3662)+E(f438(x3663,x3661,x3664,x3665),f438(x3663,x3662,x3664,x3665))
% 207.24/207.90 [367]~E(x3671,x3672)+E(f438(x3673,x3674,x3671,x3675),f438(x3673,x3674,x3672,x3675))
% 207.24/207.90 [368]~E(x3681,x3682)+E(f438(x3683,x3684,x3685,x3681),f438(x3683,x3684,x3685,x3682))
% 207.24/207.90 [369]~E(x3691,x3692)+E(f545(x3691,x3693,x3694),f545(x3692,x3693,x3694))
% 207.24/207.90 [370]~E(x3701,x3702)+E(f545(x3703,x3701,x3704),f545(x3703,x3702,x3704))
% 207.24/207.90 [371]~E(x3711,x3712)+E(f545(x3713,x3714,x3711),f545(x3713,x3714,x3712))
% 207.24/207.90 [372]~E(x3721,x3722)+E(f14(x3721,x3723),f14(x3722,x3723))
% 207.24/207.90 [373]~E(x3731,x3732)+E(f14(x3733,x3731),f14(x3733,x3732))
% 207.24/207.90 [374]~E(x3741,x3742)+E(f320(x3741,x3743,x3744,x3745),f320(x3742,x3743,x3744,x3745))
% 207.24/207.90 [375]~E(x3751,x3752)+E(f320(x3753,x3751,x3754,x3755),f320(x3753,x3752,x3754,x3755))
% 207.24/207.90 [376]~E(x3761,x3762)+E(f320(x3763,x3764,x3761,x3765),f320(x3763,x3764,x3762,x3765))
% 207.24/207.90 [377]~E(x3771,x3772)+E(f320(x3773,x3774,x3775,x3771),f320(x3773,x3774,x3775,x3772))
% 207.24/207.90 [378]~E(x3781,x3782)+E(f170(x3781,x3783,x3784),f170(x3782,x3783,x3784))
% 207.24/207.90 [379]~E(x3791,x3792)+E(f170(x3793,x3791,x3794),f170(x3793,x3792,x3794))
% 207.24/207.90 [380]~E(x3801,x3802)+E(f170(x3803,x3804,x3801),f170(x3803,x3804,x3802))
% 207.24/207.90 [381]~E(x3811,x3812)+E(f577(x3811,x3813,x3814),f577(x3812,x3813,x3814))
% 207.24/207.90 [382]~E(x3821,x3822)+E(f577(x3823,x3821,x3824),f577(x3823,x3822,x3824))
% 207.24/207.90 [383]~E(x3831,x3832)+E(f577(x3833,x3834,x3831),f577(x3833,x3834,x3832))
% 207.24/207.90 [384]~E(x3841,x3842)+E(f120(x3841),f120(x3842))
% 207.24/207.90 [385]~E(x3851,x3852)+E(f121(x3851,x3853),f121(x3852,x3853))
% 207.24/207.90 [386]~E(x3861,x3862)+E(f121(x3863,x3861),f121(x3863,x3862))
% 207.24/207.90 [387]~E(x3871,x3872)+E(f621(x3871,x3873,x3874,x3875,x3876),f621(x3872,x3873,x3874,x3875,x3876))
% 207.24/207.90 [388]~E(x3881,x3882)+E(f621(x3883,x3881,x3884,x3885,x3886),f621(x3883,x3882,x3884,x3885,x3886))
% 207.24/207.90 [389]~E(x3891,x3892)+E(f621(x3893,x3894,x3891,x3895,x3896),f621(x3893,x3894,x3892,x3895,x3896))
% 207.24/207.90 [390]~E(x3901,x3902)+E(f621(x3903,x3904,x3905,x3901,x3906),f621(x3903,x3904,x3905,x3902,x3906))
% 207.24/207.90 [391]~E(x3911,x3912)+E(f621(x3913,x3914,x3915,x3916,x3911),f621(x3913,x3914,x3915,x3916,x3912))
% 207.24/207.90 [392]~E(x3921,x3922)+E(f776(x3921,x3923,x3924,x3925),f776(x3922,x3923,x3924,x3925))
% 207.24/207.90 [393]~E(x3931,x3932)+E(f776(x3933,x3931,x3934,x3935),f776(x3933,x3932,x3934,x3935))
% 207.24/207.90 [394]~E(x3941,x3942)+E(f776(x3943,x3944,x3941,x3945),f776(x3943,x3944,x3942,x3945))
% 207.24/207.90 [395]~E(x3951,x3952)+E(f776(x3953,x3954,x3955,x3951),f776(x3953,x3954,x3955,x3952))
% 207.24/207.90 [396]~E(x3961,x3962)+E(f769(x3961,x3963,x3964),f769(x3962,x3963,x3964))
% 207.24/207.90 [397]~E(x3971,x3972)+E(f769(x3973,x3971,x3974),f769(x3973,x3972,x3974))
% 207.24/207.90 [398]~E(x3981,x3982)+E(f769(x3983,x3984,x3981),f769(x3983,x3984,x3982))
% 207.24/207.90 [399]~E(x3991,x3992)+E(f595(x3991,x3993),f595(x3992,x3993))
% 207.24/207.90 [400]~E(x4001,x4002)+E(f595(x4003,x4001),f595(x4003,x4002))
% 207.24/207.90 [401]~E(x4011,x4012)+E(f721(x4011,x4013),f721(x4012,x4013))
% 207.24/207.90 [402]~E(x4021,x4022)+E(f721(x4023,x4021),f721(x4023,x4022))
% 207.24/207.90 [403]~E(x4031,x4032)+E(f214(x4031),f214(x4032))
% 207.24/207.90 [404]~E(x4041,x4042)+E(f90(x4041,x4043),f90(x4042,x4043))
% 207.24/207.90 [405]~E(x4051,x4052)+E(f90(x4053,x4051),f90(x4053,x4052))
% 207.24/207.90 [406]~E(x4061,x4062)+E(f277(x4061,x4063,x4064,x4065),f277(x4062,x4063,x4064,x4065))
% 207.24/207.90 [407]~E(x4071,x4072)+E(f277(x4073,x4071,x4074,x4075),f277(x4073,x4072,x4074,x4075))
% 207.24/207.90 [408]~E(x4081,x4082)+E(f277(x4083,x4084,x4081,x4085),f277(x4083,x4084,x4082,x4085))
% 207.24/207.90 [409]~E(x4091,x4092)+E(f277(x4093,x4094,x4095,x4091),f277(x4093,x4094,x4095,x4092))
% 207.24/207.90 [410]~E(x4101,x4102)+E(f154(x4101,x4103),f154(x4102,x4103))
% 207.24/207.90 [411]~E(x4111,x4112)+E(f154(x4113,x4111),f154(x4113,x4112))
% 207.24/207.90 [412]~E(x4121,x4122)+E(f263(x4121,x4123),f263(x4122,x4123))
% 207.24/207.90 [413]~E(x4131,x4132)+E(f263(x4133,x4131),f263(x4133,x4132))
% 207.24/207.90 [414]~E(x4141,x4142)+E(f423(x4141,x4143,x4144,x4145),f423(x4142,x4143,x4144,x4145))
% 207.24/207.90 [415]~E(x4151,x4152)+E(f423(x4153,x4151,x4154,x4155),f423(x4153,x4152,x4154,x4155))
% 207.24/207.90 [416]~E(x4161,x4162)+E(f423(x4163,x4164,x4161,x4165),f423(x4163,x4164,x4162,x4165))
% 207.24/207.90 [417]~E(x4171,x4172)+E(f423(x4173,x4174,x4175,x4171),f423(x4173,x4174,x4175,x4172))
% 207.24/207.90 [418]~E(x4181,x4182)+E(f142(x4181),f142(x4182))
% 207.24/207.90 [419]~E(x4191,x4192)+E(f483(x4191,x4193,x4194),f483(x4192,x4193,x4194))
% 207.24/207.90 [420]~E(x4201,x4202)+E(f483(x4203,x4201,x4204),f483(x4203,x4202,x4204))
% 207.24/207.90 [421]~E(x4211,x4212)+E(f483(x4213,x4214,x4211),f483(x4213,x4214,x4212))
% 207.24/207.90 [422]~E(x4221,x4222)+E(f850(x4221,x4223,x4224),f850(x4222,x4223,x4224))
% 207.24/207.90 [423]~E(x4231,x4232)+E(f850(x4233,x4231,x4234),f850(x4233,x4232,x4234))
% 207.24/207.90 [424]~E(x4241,x4242)+E(f850(x4243,x4244,x4241),f850(x4243,x4244,x4242))
% 207.24/207.90 [425]~E(x4251,x4252)+E(f755(x4251,x4253,x4254),f755(x4252,x4253,x4254))
% 207.24/207.90 [426]~E(x4261,x4262)+E(f755(x4263,x4261,x4264),f755(x4263,x4262,x4264))
% 207.24/207.90 [427]~E(x4271,x4272)+E(f755(x4273,x4274,x4271),f755(x4273,x4274,x4272))
% 207.24/207.90 [428]~E(x4281,x4282)+E(f628(x4281,x4283,x4284,x4285),f628(x4282,x4283,x4284,x4285))
% 207.24/207.90 [429]~E(x4291,x4292)+E(f628(x4293,x4291,x4294,x4295),f628(x4293,x4292,x4294,x4295))
% 207.24/207.90 [430]~E(x4301,x4302)+E(f628(x4303,x4304,x4301,x4305),f628(x4303,x4304,x4302,x4305))
% 207.24/207.90 [431]~E(x4311,x4312)+E(f628(x4313,x4314,x4315,x4311),f628(x4313,x4314,x4315,x4312))
% 207.24/207.90 [432]~E(x4321,x4322)+E(f439(x4321,x4323,x4324,x4325),f439(x4322,x4323,x4324,x4325))
% 207.24/207.90 [433]~E(x4331,x4332)+E(f439(x4333,x4331,x4334,x4335),f439(x4333,x4332,x4334,x4335))
% 207.24/207.90 [434]~E(x4341,x4342)+E(f439(x4343,x4344,x4341,x4345),f439(x4343,x4344,x4342,x4345))
% 207.24/207.90 [435]~E(x4351,x4352)+E(f439(x4353,x4354,x4355,x4351),f439(x4353,x4354,x4355,x4352))
% 207.24/207.90 [436]~E(x4361,x4362)+E(f672(x4361,x4363,x4364),f672(x4362,x4363,x4364))
% 207.24/207.90 [437]~E(x4371,x4372)+E(f672(x4373,x4371,x4374),f672(x4373,x4372,x4374))
% 207.24/207.90 [438]~E(x4381,x4382)+E(f672(x4383,x4384,x4381),f672(x4383,x4384,x4382))
% 207.24/207.90 [439]~E(x4391,x4392)+E(f879(x4391,x4393,x4394,x4395),f879(x4392,x4393,x4394,x4395))
% 207.24/207.90 [440]~E(x4401,x4402)+E(f879(x4403,x4401,x4404,x4405),f879(x4403,x4402,x4404,x4405))
% 207.24/207.90 [441]~E(x4411,x4412)+E(f879(x4413,x4414,x4411,x4415),f879(x4413,x4414,x4412,x4415))
% 207.24/207.90 [442]~E(x4421,x4422)+E(f879(x4423,x4424,x4425,x4421),f879(x4423,x4424,x4425,x4422))
% 207.24/207.90 [443]~E(x4431,x4432)+E(f778(x4431,x4433,x4434,x4435),f778(x4432,x4433,x4434,x4435))
% 207.24/207.90 [444]~E(x4441,x4442)+E(f778(x4443,x4441,x4444,x4445),f778(x4443,x4442,x4444,x4445))
% 207.24/207.90 [445]~E(x4451,x4452)+E(f778(x4453,x4454,x4451,x4455),f778(x4453,x4454,x4452,x4455))
% 207.24/207.90 [446]~E(x4461,x4462)+E(f778(x4463,x4464,x4465,x4461),f778(x4463,x4464,x4465,x4462))
% 207.24/207.90 [447]~E(x4471,x4472)+E(f312(x4471,x4473),f312(x4472,x4473))
% 207.24/207.90 [448]~E(x4481,x4482)+E(f312(x4483,x4481),f312(x4483,x4482))
% 207.24/207.90 [449]~E(x4491,x4492)+E(f259(x4491,x4493,x4494,x4495),f259(x4492,x4493,x4494,x4495))
% 207.24/207.90 [450]~E(x4501,x4502)+E(f259(x4503,x4501,x4504,x4505),f259(x4503,x4502,x4504,x4505))
% 207.24/207.90 [451]~E(x4511,x4512)+E(f259(x4513,x4514,x4511,x4515),f259(x4513,x4514,x4512,x4515))
% 207.24/207.90 [452]~E(x4521,x4522)+E(f259(x4523,x4524,x4525,x4521),f259(x4523,x4524,x4525,x4522))
% 207.24/207.90 [453]~E(x4531,x4532)+E(f48(x4531,x4533),f48(x4532,x4533))
% 207.24/207.90 [454]~E(x4541,x4542)+E(f48(x4543,x4541),f48(x4543,x4542))
% 207.24/207.90 [455]~E(x4551,x4552)+E(f184(x4551,x4553),f184(x4552,x4553))
% 207.24/207.90 [456]~E(x4561,x4562)+E(f184(x4563,x4561),f184(x4563,x4562))
% 207.24/207.90 [457]~E(x4571,x4572)+E(f737(x4571,x4573,x4574,x4575,x4576),f737(x4572,x4573,x4574,x4575,x4576))
% 207.24/207.90 [458]~E(x4581,x4582)+E(f737(x4583,x4581,x4584,x4585,x4586),f737(x4583,x4582,x4584,x4585,x4586))
% 207.24/207.90 [459]~E(x4591,x4592)+E(f737(x4593,x4594,x4591,x4595,x4596),f737(x4593,x4594,x4592,x4595,x4596))
% 207.24/207.90 [460]~E(x4601,x4602)+E(f737(x4603,x4604,x4605,x4601,x4606),f737(x4603,x4604,x4605,x4602,x4606))
% 207.24/207.90 [461]~E(x4611,x4612)+E(f737(x4613,x4614,x4615,x4616,x4611),f737(x4613,x4614,x4615,x4616,x4612))
% 207.24/207.90 [462]~E(x4621,x4622)+E(f51(x4621,x4623),f51(x4622,x4623))
% 207.24/207.90 [463]~E(x4631,x4632)+E(f51(x4633,x4631),f51(x4633,x4632))
% 207.24/207.90 [464]~E(x4641,x4642)+E(f604(x4641,x4643,x4644),f604(x4642,x4643,x4644))
% 207.24/207.90 [465]~E(x4651,x4652)+E(f604(x4653,x4651,x4654),f604(x4653,x4652,x4654))
% 207.24/207.90 [466]~E(x4661,x4662)+E(f604(x4663,x4664,x4661),f604(x4663,x4664,x4662))
% 207.24/207.90 [467]~E(x4671,x4672)+E(f809(x4671,x4673,x4674,x4675,x4676,x4677),f809(x4672,x4673,x4674,x4675,x4676,x4677))
% 207.24/207.90 [468]~E(x4681,x4682)+E(f809(x4683,x4681,x4684,x4685,x4686,x4687),f809(x4683,x4682,x4684,x4685,x4686,x4687))
% 207.24/207.90 [469]~E(x4691,x4692)+E(f809(x4693,x4694,x4691,x4695,x4696,x4697),f809(x4693,x4694,x4692,x4695,x4696,x4697))
% 207.24/207.90 [470]~E(x4701,x4702)+E(f809(x4703,x4704,x4705,x4701,x4706,x4707),f809(x4703,x4704,x4705,x4702,x4706,x4707))
% 207.24/207.90 [471]~E(x4711,x4712)+E(f809(x4713,x4714,x4715,x4716,x4711,x4717),f809(x4713,x4714,x4715,x4716,x4712,x4717))
% 207.24/207.90 [472]~E(x4721,x4722)+E(f809(x4723,x4724,x4725,x4726,x4727,x4721),f809(x4723,x4724,x4725,x4726,x4727,x4722))
% 207.24/207.90 [473]~E(x4731,x4732)+E(f145(x4731,x4733),f145(x4732,x4733))
% 207.24/207.90 [474]~E(x4741,x4742)+E(f145(x4743,x4741),f145(x4743,x4742))
% 207.24/207.90 [475]~E(x4751,x4752)+E(f612(x4751,x4753,x4754,x4755,x4756),f612(x4752,x4753,x4754,x4755,x4756))
% 207.24/207.90 [476]~E(x4761,x4762)+E(f612(x4763,x4761,x4764,x4765,x4766),f612(x4763,x4762,x4764,x4765,x4766))
% 207.24/207.90 [477]~E(x4771,x4772)+E(f612(x4773,x4774,x4771,x4775,x4776),f612(x4773,x4774,x4772,x4775,x4776))
% 207.24/207.90 [478]~E(x4781,x4782)+E(f612(x4783,x4784,x4785,x4781,x4786),f612(x4783,x4784,x4785,x4782,x4786))
% 207.24/207.90 [479]~E(x4791,x4792)+E(f612(x4793,x4794,x4795,x4796,x4791),f612(x4793,x4794,x4795,x4796,x4792))
% 207.24/207.90 [480]~E(x4801,x4802)+E(f266(x4801,x4803),f266(x4802,x4803))
% 207.24/207.90 [481]~E(x4811,x4812)+E(f266(x4813,x4811),f266(x4813,x4812))
% 207.24/207.90 [482]~E(x4821,x4822)+E(f707(x4821,x4823,x4824),f707(x4822,x4823,x4824))
% 207.24/207.90 [483]~E(x4831,x4832)+E(f707(x4833,x4831,x4834),f707(x4833,x4832,x4834))
% 207.24/207.90 [484]~E(x4841,x4842)+E(f707(x4843,x4844,x4841),f707(x4843,x4844,x4842))
% 207.24/207.90 [485]~E(x4851,x4852)+E(f661(x4851,x4853),f661(x4852,x4853))
% 207.24/207.90 [486]~E(x4861,x4862)+E(f661(x4863,x4861),f661(x4863,x4862))
% 207.24/207.90 [487]~E(x4871,x4872)+E(f789(x4871,x4873),f789(x4872,x4873))
% 207.24/207.90 [488]~E(x4881,x4882)+E(f789(x4883,x4881),f789(x4883,x4882))
% 207.24/207.90 [489]~E(x4891,x4892)+E(f510(x4891,x4893,x4894,x4895,x4896,x4897,x4898),f510(x4892,x4893,x4894,x4895,x4896,x4897,x4898))
% 207.24/207.90 [490]~E(x4901,x4902)+E(f510(x4903,x4901,x4904,x4905,x4906,x4907,x4908),f510(x4903,x4902,x4904,x4905,x4906,x4907,x4908))
% 207.24/207.90 [491]~E(x4911,x4912)+E(f510(x4913,x4914,x4911,x4915,x4916,x4917,x4918),f510(x4913,x4914,x4912,x4915,x4916,x4917,x4918))
% 207.24/207.90 [492]~E(x4921,x4922)+E(f510(x4923,x4924,x4925,x4921,x4926,x4927,x4928),f510(x4923,x4924,x4925,x4922,x4926,x4927,x4928))
% 207.24/207.90 [493]~E(x4931,x4932)+E(f510(x4933,x4934,x4935,x4936,x4931,x4937,x4938),f510(x4933,x4934,x4935,x4936,x4932,x4937,x4938))
% 207.24/207.90 [494]~E(x4941,x4942)+E(f510(x4943,x4944,x4945,x4946,x4947,x4941,x4948),f510(x4943,x4944,x4945,x4946,x4947,x4942,x4948))
% 207.24/207.90 [495]~E(x4951,x4952)+E(f510(x4953,x4954,x4955,x4956,x4957,x4958,x4951),f510(x4953,x4954,x4955,x4956,x4957,x4958,x4952))
% 207.24/207.90 [496]~E(x4961,x4962)+E(f563(x4961,x4963,x4964,x4965,x4966),f563(x4962,x4963,x4964,x4965,x4966))
% 207.24/207.90 [497]~E(x4971,x4972)+E(f563(x4973,x4971,x4974,x4975,x4976),f563(x4973,x4972,x4974,x4975,x4976))
% 207.24/207.90 [498]~E(x4981,x4982)+E(f563(x4983,x4984,x4981,x4985,x4986),f563(x4983,x4984,x4982,x4985,x4986))
% 207.24/207.90 [499]~E(x4991,x4992)+E(f563(x4993,x4994,x4995,x4991,x4996),f563(x4993,x4994,x4995,x4992,x4996))
% 207.24/207.90 [500]~E(x5001,x5002)+E(f563(x5003,x5004,x5005,x5006,x5001),f563(x5003,x5004,x5005,x5006,x5002))
% 207.24/207.90 [501]~E(x5011,x5012)+E(f657(x5011,x5013,x5014),f657(x5012,x5013,x5014))
% 207.24/207.90 [502]~E(x5021,x5022)+E(f657(x5023,x5021,x5024),f657(x5023,x5022,x5024))
% 207.24/207.90 [503]~E(x5031,x5032)+E(f657(x5033,x5034,x5031),f657(x5033,x5034,x5032))
% 207.24/207.90 [504]~E(x5041,x5042)+E(f869(x5041,x5043,x5044),f869(x5042,x5043,x5044))
% 207.24/207.90 [505]~E(x5051,x5052)+E(f869(x5053,x5051,x5054),f869(x5053,x5052,x5054))
% 207.24/207.90 [506]~E(x5061,x5062)+E(f869(x5063,x5064,x5061),f869(x5063,x5064,x5062))
% 207.24/207.90 [507]~E(x5071,x5072)+E(f314(x5071),f314(x5072))
% 207.24/207.90 [508]~E(x5081,x5082)+E(f703(x5081,x5083),f703(x5082,x5083))
% 207.24/207.90 [509]~E(x5091,x5092)+E(f703(x5093,x5091),f703(x5093,x5092))
% 207.24/207.90 [510]~E(x5101,x5102)+E(f476(x5101,x5103,x5104),f476(x5102,x5103,x5104))
% 207.24/207.90 [511]~E(x5111,x5112)+E(f476(x5113,x5111,x5114),f476(x5113,x5112,x5114))
% 207.24/207.90 [512]~E(x5121,x5122)+E(f476(x5123,x5124,x5121),f476(x5123,x5124,x5122))
% 207.24/207.90 [513]~E(x5131,x5132)+E(f360(x5131,x5133,x5134,x5135,x5136,x5137),f360(x5132,x5133,x5134,x5135,x5136,x5137))
% 207.24/207.90 [514]~E(x5141,x5142)+E(f360(x5143,x5141,x5144,x5145,x5146,x5147),f360(x5143,x5142,x5144,x5145,x5146,x5147))
% 207.24/207.90 [515]~E(x5151,x5152)+E(f360(x5153,x5154,x5151,x5155,x5156,x5157),f360(x5153,x5154,x5152,x5155,x5156,x5157))
% 207.24/207.90 [516]~E(x5161,x5162)+E(f360(x5163,x5164,x5165,x5161,x5166,x5167),f360(x5163,x5164,x5165,x5162,x5166,x5167))
% 207.24/207.90 [517]~E(x5171,x5172)+E(f360(x5173,x5174,x5175,x5176,x5171,x5177),f360(x5173,x5174,x5175,x5176,x5172,x5177))
% 207.24/207.90 [518]~E(x5181,x5182)+E(f360(x5183,x5184,x5185,x5186,x5187,x5181),f360(x5183,x5184,x5185,x5186,x5187,x5182))
% 207.24/207.90 [519]~E(x5191,x5192)+E(f76(x5191,x5193,x5194,x5195,x5196),f76(x5192,x5193,x5194,x5195,x5196))
% 207.24/207.90 [520]~E(x5201,x5202)+E(f76(x5203,x5201,x5204,x5205,x5206),f76(x5203,x5202,x5204,x5205,x5206))
% 207.24/207.90 [521]~E(x5211,x5212)+E(f76(x5213,x5214,x5211,x5215,x5216),f76(x5213,x5214,x5212,x5215,x5216))
% 207.24/207.90 [522]~E(x5221,x5222)+E(f76(x5223,x5224,x5225,x5221,x5226),f76(x5223,x5224,x5225,x5222,x5226))
% 207.24/207.90 [523]~E(x5231,x5232)+E(f76(x5233,x5234,x5235,x5236,x5231),f76(x5233,x5234,x5235,x5236,x5232))
% 207.24/207.90 [524]~E(x5241,x5242)+E(f781(x5241,x5243,x5244,x5245),f781(x5242,x5243,x5244,x5245))
% 207.24/207.90 [525]~E(x5251,x5252)+E(f781(x5253,x5251,x5254,x5255),f781(x5253,x5252,x5254,x5255))
% 207.24/207.90 [526]~E(x5261,x5262)+E(f781(x5263,x5264,x5261,x5265),f781(x5263,x5264,x5262,x5265))
% 207.24/207.90 [527]~E(x5271,x5272)+E(f781(x5273,x5274,x5275,x5271),f781(x5273,x5274,x5275,x5272))
% 207.24/207.90 [528]~E(x5281,x5282)+E(f57(x5281),f57(x5282))
% 207.24/207.90 [529]~E(x5291,x5292)+E(f449(x5291,x5293),f449(x5292,x5293))
% 207.24/207.90 [530]~E(x5301,x5302)+E(f449(x5303,x5301),f449(x5303,x5302))
% 207.24/207.90 [531]~E(x5311,x5312)+E(f197(x5311,x5313,x5314,x5315),f197(x5312,x5313,x5314,x5315))
% 207.24/207.90 [532]~E(x5321,x5322)+E(f197(x5323,x5321,x5324,x5325),f197(x5323,x5322,x5324,x5325))
% 207.24/207.90 [533]~E(x5331,x5332)+E(f197(x5333,x5334,x5331,x5335),f197(x5333,x5334,x5332,x5335))
% 207.24/207.90 [534]~E(x5341,x5342)+E(f197(x5343,x5344,x5345,x5341),f197(x5343,x5344,x5345,x5342))
% 207.24/207.90 [535]~E(x5351,x5352)+E(f161(x5351,x5353),f161(x5352,x5353))
% 207.24/207.90 [536]~E(x5361,x5362)+E(f161(x5363,x5361),f161(x5363,x5362))
% 207.24/207.90 [537]~E(x5371,x5372)+E(f399(x5371,x5373,x5374,x5375,x5376,x5377,x5378,x5379),f399(x5372,x5373,x5374,x5375,x5376,x5377,x5378,x5379))
% 207.24/207.90 [538]~E(x5381,x5382)+E(f399(x5383,x5381,x5384,x5385,x5386,x5387,x5388,x5389),f399(x5383,x5382,x5384,x5385,x5386,x5387,x5388,x5389))
% 207.24/207.90 [539]~E(x5391,x5392)+E(f399(x5393,x5394,x5391,x5395,x5396,x5397,x5398,x5399),f399(x5393,x5394,x5392,x5395,x5396,x5397,x5398,x5399))
% 207.24/207.90 [540]~E(x5401,x5402)+E(f399(x5403,x5404,x5405,x5401,x5406,x5407,x5408,x5409),f399(x5403,x5404,x5405,x5402,x5406,x5407,x5408,x5409))
% 207.24/207.90 [541]~E(x5411,x5412)+E(f399(x5413,x5414,x5415,x5416,x5411,x5417,x5418,x5419),f399(x5413,x5414,x5415,x5416,x5412,x5417,x5418,x5419))
% 207.24/207.90 [542]~E(x5421,x5422)+E(f399(x5423,x5424,x5425,x5426,x5427,x5421,x5428,x5429),f399(x5423,x5424,x5425,x5426,x5427,x5422,x5428,x5429))
% 207.24/207.90 [543]~E(x5431,x5432)+E(f399(x5433,x5434,x5435,x5436,x5437,x5438,x5431,x5439),f399(x5433,x5434,x5435,x5436,x5437,x5438,x5432,x5439))
% 207.24/207.90 [544]~E(x5441,x5442)+E(f399(x5443,x5444,x5445,x5446,x5447,x5448,x5449,x5441),f399(x5443,x5444,x5445,x5446,x5447,x5448,x5449,x5442))
% 207.24/207.90 [545]~E(x5451,x5452)+E(f187(x5451),f187(x5452))
% 207.24/207.90 [546]~E(x5461,x5462)+E(f178(x5461,x5463,x5464),f178(x5462,x5463,x5464))
% 207.24/207.90 [547]~E(x5471,x5472)+E(f178(x5473,x5471,x5474),f178(x5473,x5472,x5474))
% 207.24/207.90 [548]~E(x5481,x5482)+E(f178(x5483,x5484,x5481),f178(x5483,x5484,x5482))
% 207.24/207.90 [549]~E(x5491,x5492)+E(f880(x5491,x5493,x5494,x5495),f880(x5492,x5493,x5494,x5495))
% 207.24/207.90 [550]~E(x5501,x5502)+E(f880(x5503,x5501,x5504,x5505),f880(x5503,x5502,x5504,x5505))
% 207.24/207.90 [551]~E(x5511,x5512)+E(f880(x5513,x5514,x5511,x5515),f880(x5513,x5514,x5512,x5515))
% 207.24/207.90 [552]~E(x5521,x5522)+E(f880(x5523,x5524,x5525,x5521),f880(x5523,x5524,x5525,x5522))
% 207.24/207.90 [553]~E(x5531,x5532)+E(f283(x5531),f283(x5532))
% 207.24/207.90 [554]~E(x5541,x5542)+E(f111(x5541),f111(x5542))
% 207.24/207.90 [555]~E(x5551,x5552)+E(f807(x5551,x5553),f807(x5552,x5553))
% 207.24/207.90 [556]~E(x5561,x5562)+E(f807(x5563,x5561),f807(x5563,x5562))
% 207.24/207.90 [557]~E(x5571,x5572)+E(f245(x5571,x5573,x5574),f245(x5572,x5573,x5574))
% 207.24/207.90 [558]~E(x5581,x5582)+E(f245(x5583,x5581,x5584),f245(x5583,x5582,x5584))
% 207.24/207.90 [559]~E(x5591,x5592)+E(f245(x5593,x5594,x5591),f245(x5593,x5594,x5592))
% 207.24/207.90 [560]~E(x5601,x5602)+E(f39(x5601,x5603),f39(x5602,x5603))
% 207.24/207.90 [561]~E(x5611,x5612)+E(f39(x5613,x5611),f39(x5613,x5612))
% 207.24/207.90 [562]~E(x5621,x5622)+E(f719(x5621,x5623,x5624,x5625),f719(x5622,x5623,x5624,x5625))
% 207.24/207.90 [563]~E(x5631,x5632)+E(f719(x5633,x5631,x5634,x5635),f719(x5633,x5632,x5634,x5635))
% 207.24/207.90 [564]~E(x5641,x5642)+E(f719(x5643,x5644,x5641,x5645),f719(x5643,x5644,x5642,x5645))
% 207.24/207.90 [565]~E(x5651,x5652)+E(f719(x5653,x5654,x5655,x5651),f719(x5653,x5654,x5655,x5652))
% 207.24/207.90 [566]~E(x5661,x5662)+E(f482(x5661,x5663,x5664),f482(x5662,x5663,x5664))
% 207.24/207.90 [567]~E(x5671,x5672)+E(f482(x5673,x5671,x5674),f482(x5673,x5672,x5674))
% 207.24/207.90 [568]~E(x5681,x5682)+E(f482(x5683,x5684,x5681),f482(x5683,x5684,x5682))
% 207.24/207.90 [569]~E(x5691,x5692)+E(f779(x5691,x5693,x5694,x5695),f779(x5692,x5693,x5694,x5695))
% 207.24/207.90 [570]~E(x5701,x5702)+E(f779(x5703,x5701,x5704,x5705),f779(x5703,x5702,x5704,x5705))
% 207.24/207.90 [571]~E(x5711,x5712)+E(f779(x5713,x5714,x5711,x5715),f779(x5713,x5714,x5712,x5715))
% 207.24/207.90 [572]~E(x5721,x5722)+E(f779(x5723,x5724,x5725,x5721),f779(x5723,x5724,x5725,x5722))
% 207.24/207.90 [573]~E(x5731,x5732)+E(f823(x5731,x5733,x5734,x5735,x5736),f823(x5732,x5733,x5734,x5735,x5736))
% 207.24/207.90 [574]~E(x5741,x5742)+E(f823(x5743,x5741,x5744,x5745,x5746),f823(x5743,x5742,x5744,x5745,x5746))
% 207.24/207.90 [575]~E(x5751,x5752)+E(f823(x5753,x5754,x5751,x5755,x5756),f823(x5753,x5754,x5752,x5755,x5756))
% 207.24/207.90 [576]~E(x5761,x5762)+E(f823(x5763,x5764,x5765,x5761,x5766),f823(x5763,x5764,x5765,x5762,x5766))
% 207.24/207.90 [577]~E(x5771,x5772)+E(f823(x5773,x5774,x5775,x5776,x5771),f823(x5773,x5774,x5775,x5776,x5772))
% 207.24/207.90 [578]~E(x5781,x5782)+E(f280(x5781,x5783,x5784,x5785),f280(x5782,x5783,x5784,x5785))
% 207.24/207.90 [579]~E(x5791,x5792)+E(f280(x5793,x5791,x5794,x5795),f280(x5793,x5792,x5794,x5795))
% 207.24/207.90 [580]~E(x5801,x5802)+E(f280(x5803,x5804,x5801,x5805),f280(x5803,x5804,x5802,x5805))
% 207.24/207.90 [581]~E(x5811,x5812)+E(f280(x5813,x5814,x5815,x5811),f280(x5813,x5814,x5815,x5812))
% 207.24/207.90 [582]~E(x5821,x5822)+E(f62(x5821,x5823,x5824),f62(x5822,x5823,x5824))
% 207.24/207.90 [583]~E(x5831,x5832)+E(f62(x5833,x5831,x5834),f62(x5833,x5832,x5834))
% 207.24/207.90 [584]~E(x5841,x5842)+E(f62(x5843,x5844,x5841),f62(x5843,x5844,x5842))
% 207.24/207.90 [585]~E(x5851,x5852)+E(f175(x5851,x5853,x5854),f175(x5852,x5853,x5854))
% 207.24/207.90 [586]~E(x5861,x5862)+E(f175(x5863,x5861,x5864),f175(x5863,x5862,x5864))
% 207.24/207.90 [587]~E(x5871,x5872)+E(f175(x5873,x5874,x5871),f175(x5873,x5874,x5872))
% 207.24/207.90 [588]~E(x5881,x5882)+E(f86(x5881,x5883),f86(x5882,x5883))
% 207.24/207.90 [589]~E(x5891,x5892)+E(f86(x5893,x5891),f86(x5893,x5892))
% 207.24/207.90 [590]~E(x5901,x5902)+E(f521(x5901,x5903,x5904),f521(x5902,x5903,x5904))
% 207.24/207.90 [591]~E(x5911,x5912)+E(f521(x5913,x5911,x5914),f521(x5913,x5912,x5914))
% 207.24/207.90 [592]~E(x5921,x5922)+E(f521(x5923,x5924,x5921),f521(x5923,x5924,x5922))
% 207.24/207.90 [593]~E(x5931,x5932)+E(f126(x5931,x5933),f126(x5932,x5933))
% 207.24/207.90 [594]~E(x5941,x5942)+E(f126(x5943,x5941),f126(x5943,x5942))
% 207.24/207.90 [595]~E(x5951,x5952)+E(f839(x5951,x5953,x5954,x5955,x5956,x5957,x5958,x5959),f839(x5952,x5953,x5954,x5955,x5956,x5957,x5958,x5959))
% 207.24/207.90 [596]~E(x5961,x5962)+E(f839(x5963,x5961,x5964,x5965,x5966,x5967,x5968,x5969),f839(x5963,x5962,x5964,x5965,x5966,x5967,x5968,x5969))
% 207.24/207.90 [597]~E(x5971,x5972)+E(f839(x5973,x5974,x5971,x5975,x5976,x5977,x5978,x5979),f839(x5973,x5974,x5972,x5975,x5976,x5977,x5978,x5979))
% 207.24/207.90 [598]~E(x5981,x5982)+E(f839(x5983,x5984,x5985,x5981,x5986,x5987,x5988,x5989),f839(x5983,x5984,x5985,x5982,x5986,x5987,x5988,x5989))
% 207.24/207.90 [599]~E(x5991,x5992)+E(f839(x5993,x5994,x5995,x5996,x5991,x5997,x5998,x5999),f839(x5993,x5994,x5995,x5996,x5992,x5997,x5998,x5999))
% 207.24/207.90 [600]~E(x6001,x6002)+E(f839(x6003,x6004,x6005,x6006,x6007,x6001,x6008,x6009),f839(x6003,x6004,x6005,x6006,x6007,x6002,x6008,x6009))
% 207.24/207.90 [601]~E(x6011,x6012)+E(f839(x6013,x6014,x6015,x6016,x6017,x6018,x6011,x6019),f839(x6013,x6014,x6015,x6016,x6017,x6018,x6012,x6019))
% 207.24/207.90 [602]~E(x6021,x6022)+E(f839(x6023,x6024,x6025,x6026,x6027,x6028,x6029,x6021),f839(x6023,x6024,x6025,x6026,x6027,x6028,x6029,x6022))
% 207.24/207.90 [603]~E(x6031,x6032)+E(f301(x6031),f301(x6032))
% 207.24/207.90 [604]~E(x6041,x6042)+E(f177(x6041,x6043,x6044),f177(x6042,x6043,x6044))
% 207.24/207.90 [605]~E(x6051,x6052)+E(f177(x6053,x6051,x6054),f177(x6053,x6052,x6054))
% 207.24/207.90 [606]~E(x6061,x6062)+E(f177(x6063,x6064,x6061),f177(x6063,x6064,x6062))
% 207.24/207.90 [607]~E(x6071,x6072)+E(f600(x6071,x6073,x6074,x6075,x6076,x6077,x6078,x6079),f600(x6072,x6073,x6074,x6075,x6076,x6077,x6078,x6079))
% 207.24/207.90 [608]~E(x6081,x6082)+E(f600(x6083,x6081,x6084,x6085,x6086,x6087,x6088,x6089),f600(x6083,x6082,x6084,x6085,x6086,x6087,x6088,x6089))
% 207.24/207.90 [609]~E(x6091,x6092)+E(f600(x6093,x6094,x6091,x6095,x6096,x6097,x6098,x6099),f600(x6093,x6094,x6092,x6095,x6096,x6097,x6098,x6099))
% 207.24/207.90 [610]~E(x6101,x6102)+E(f600(x6103,x6104,x6105,x6101,x6106,x6107,x6108,x6109),f600(x6103,x6104,x6105,x6102,x6106,x6107,x6108,x6109))
% 207.24/207.90 [611]~E(x6111,x6112)+E(f600(x6113,x6114,x6115,x6116,x6111,x6117,x6118,x6119),f600(x6113,x6114,x6115,x6116,x6112,x6117,x6118,x6119))
% 207.24/207.90 [612]~E(x6121,x6122)+E(f600(x6123,x6124,x6125,x6126,x6127,x6121,x6128,x6129),f600(x6123,x6124,x6125,x6126,x6127,x6122,x6128,x6129))
% 207.24/207.90 [613]~E(x6131,x6132)+E(f600(x6133,x6134,x6135,x6136,x6137,x6138,x6131,x6139),f600(x6133,x6134,x6135,x6136,x6137,x6138,x6132,x6139))
% 207.24/207.90 [614]~E(x6141,x6142)+E(f600(x6143,x6144,x6145,x6146,x6147,x6148,x6149,x6141),f600(x6143,x6144,x6145,x6146,x6147,x6148,x6149,x6142))
% 207.24/207.90 [615]~E(x6151,x6152)+E(f720(x6151,x6153),f720(x6152,x6153))
% 207.24/207.90 [616]~E(x6161,x6162)+E(f720(x6163,x6161),f720(x6163,x6162))
% 207.24/207.90 [617]~E(x6171,x6172)+E(f531(x6171,x6173,x6174),f531(x6172,x6173,x6174))
% 207.24/207.90 [618]~E(x6181,x6182)+E(f531(x6183,x6181,x6184),f531(x6183,x6182,x6184))
% 207.24/207.90 [619]~E(x6191,x6192)+E(f531(x6193,x6194,x6191),f531(x6193,x6194,x6192))
% 207.24/207.90 [620]~E(x6201,x6202)+E(f232(x6201,x6203,x6204),f232(x6202,x6203,x6204))
% 207.24/207.90 [621]~E(x6211,x6212)+E(f232(x6213,x6211,x6214),f232(x6213,x6212,x6214))
% 207.24/207.90 [622]~E(x6221,x6222)+E(f232(x6223,x6224,x6221),f232(x6223,x6224,x6222))
% 207.24/207.90 [623]~E(x6231,x6232)+E(f127(x6231,x6233,x6234),f127(x6232,x6233,x6234))
% 207.24/207.90 [624]~E(x6241,x6242)+E(f127(x6243,x6241,x6244),f127(x6243,x6242,x6244))
% 207.24/207.90 [625]~E(x6251,x6252)+E(f127(x6253,x6254,x6251),f127(x6253,x6254,x6252))
% 207.24/207.90 [626]~E(x6261,x6262)+E(f164(x6261,x6263,x6264,x6265),f164(x6262,x6263,x6264,x6265))
% 207.24/207.90 [627]~E(x6271,x6272)+E(f164(x6273,x6271,x6274,x6275),f164(x6273,x6272,x6274,x6275))
% 207.24/207.90 [628]~E(x6281,x6282)+E(f164(x6283,x6284,x6281,x6285),f164(x6283,x6284,x6282,x6285))
% 207.24/207.90 [629]~E(x6291,x6292)+E(f164(x6293,x6294,x6295,x6291),f164(x6293,x6294,x6295,x6292))
% 207.24/207.90 [630]~E(x6301,x6302)+E(f656(x6301,x6303,x6304,x6305),f656(x6302,x6303,x6304,x6305))
% 207.24/207.90 [631]~E(x6311,x6312)+E(f656(x6313,x6311,x6314,x6315),f656(x6313,x6312,x6314,x6315))
% 207.24/207.90 [632]~E(x6321,x6322)+E(f656(x6323,x6324,x6321,x6325),f656(x6323,x6324,x6322,x6325))
% 207.24/207.90 [633]~E(x6331,x6332)+E(f656(x6333,x6334,x6335,x6331),f656(x6333,x6334,x6335,x6332))
% 207.24/207.90 [634]~E(x6341,x6342)+E(f288(x6341,x6343),f288(x6342,x6343))
% 207.24/207.90 [635]~E(x6351,x6352)+E(f288(x6353,x6351),f288(x6353,x6352))
% 207.24/207.90 [636]~E(x6361,x6362)+E(f431(x6361,x6363,x6364,x6365),f431(x6362,x6363,x6364,x6365))
% 207.24/207.90 [637]~E(x6371,x6372)+E(f431(x6373,x6371,x6374,x6375),f431(x6373,x6372,x6374,x6375))
% 207.24/207.90 [638]~E(x6381,x6382)+E(f431(x6383,x6384,x6381,x6385),f431(x6383,x6384,x6382,x6385))
% 207.24/207.90 [639]~E(x6391,x6392)+E(f431(x6393,x6394,x6395,x6391),f431(x6393,x6394,x6395,x6392))
% 207.24/207.90 [640]~E(x6401,x6402)+E(f47(x6401,x6403),f47(x6402,x6403))
% 207.24/207.90 [641]~E(x6411,x6412)+E(f47(x6413,x6411),f47(x6413,x6412))
% 207.24/207.90 [642]~E(x6421,x6422)+E(f722(x6421,x6423),f722(x6422,x6423))
% 207.24/207.90 [643]~E(x6431,x6432)+E(f722(x6433,x6431),f722(x6433,x6432))
% 207.24/207.90 [644]~E(x6441,x6442)+E(f637(x6441,x6443,x6444,x6445),f637(x6442,x6443,x6444,x6445))
% 207.24/207.90 [645]~E(x6451,x6452)+E(f637(x6453,x6451,x6454,x6455),f637(x6453,x6452,x6454,x6455))
% 207.24/207.90 [646]~E(x6461,x6462)+E(f637(x6463,x6464,x6461,x6465),f637(x6463,x6464,x6462,x6465))
% 207.24/207.90 [647]~E(x6471,x6472)+E(f637(x6473,x6474,x6475,x6471),f637(x6473,x6474,x6475,x6472))
% 207.24/207.90 [648]~E(x6481,x6482)+E(f148(x6481,x6483),f148(x6482,x6483))
% 207.24/207.90 [649]~E(x6491,x6492)+E(f148(x6493,x6491),f148(x6493,x6492))
% 207.24/207.90 [650]~E(x6501,x6502)+E(f44(x6501),f44(x6502))
% 207.24/207.90 [651]~E(x6511,x6512)+E(f526(x6511,x6513,x6514),f526(x6512,x6513,x6514))
% 207.24/207.90 [652]~E(x6521,x6522)+E(f526(x6523,x6521,x6524),f526(x6523,x6522,x6524))
% 207.24/207.90 [653]~E(x6531,x6532)+E(f526(x6533,x6534,x6531),f526(x6533,x6534,x6532))
% 207.24/207.90 [654]~E(x6541,x6542)+E(f609(x6541,x6543,x6544),f609(x6542,x6543,x6544))
% 207.24/207.90 [655]~E(x6551,x6552)+E(f609(x6553,x6551,x6554),f609(x6553,x6552,x6554))
% 207.24/207.90 [656]~E(x6561,x6562)+E(f609(x6563,x6564,x6561),f609(x6563,x6564,x6562))
% 207.24/207.90 [657]~E(x6571,x6572)+E(f308(x6571),f308(x6572))
% 207.24/207.90 [658]~E(x6581,x6582)+E(f250(x6581,x6583,x6584),f250(x6582,x6583,x6584))
% 207.24/207.90 [659]~E(x6591,x6592)+E(f250(x6593,x6591,x6594),f250(x6593,x6592,x6594))
% 207.24/207.90 [660]~E(x6601,x6602)+E(f250(x6603,x6604,x6601),f250(x6603,x6604,x6602))
% 207.24/207.90 [661]~E(x6611,x6612)+E(f763(x6611,x6613,x6614),f763(x6612,x6613,x6614))
% 207.24/207.90 [662]~E(x6621,x6622)+E(f763(x6623,x6621,x6624),f763(x6623,x6622,x6624))
% 207.24/207.90 [663]~E(x6631,x6632)+E(f763(x6633,x6634,x6631),f763(x6633,x6634,x6632))
% 207.24/207.90 [664]~E(x6641,x6642)+E(f256(x6641,x6643),f256(x6642,x6643))
% 207.24/207.90 [665]~E(x6651,x6652)+E(f256(x6653,x6651),f256(x6653,x6652))
% 207.24/207.90 [666]~E(x6661,x6662)+E(f858(x6661,x6663,x6664),f858(x6662,x6663,x6664))
% 207.24/207.90 [667]~E(x6671,x6672)+E(f858(x6673,x6671,x6674),f858(x6673,x6672,x6674))
% 207.24/207.90 [668]~E(x6681,x6682)+E(f858(x6683,x6684,x6681),f858(x6683,x6684,x6682))
% 207.24/207.90 [669]~E(x6691,x6692)+E(f91(x6691),f91(x6692))
% 207.24/207.90 [670]~E(x6701,x6702)+E(f222(x6701,x6703,x6704,x6705),f222(x6702,x6703,x6704,x6705))
% 207.24/207.90 [671]~E(x6711,x6712)+E(f222(x6713,x6711,x6714,x6715),f222(x6713,x6712,x6714,x6715))
% 207.24/207.90 [672]~E(x6721,x6722)+E(f222(x6723,x6724,x6721,x6725),f222(x6723,x6724,x6722,x6725))
% 207.24/207.90 [673]~E(x6731,x6732)+E(f222(x6733,x6734,x6735,x6731),f222(x6733,x6734,x6735,x6732))
% 207.24/207.90 [674]~E(x6741,x6742)+E(f171(x6741,x6743,x6744),f171(x6742,x6743,x6744))
% 207.24/207.90 [675]~E(x6751,x6752)+E(f171(x6753,x6751,x6754),f171(x6753,x6752,x6754))
% 207.24/207.90 [676]~E(x6761,x6762)+E(f171(x6763,x6764,x6761),f171(x6763,x6764,x6762))
% 207.24/207.90 [677]~E(x6771,x6772)+E(f845(x6771,x6773,x6774,x6775,x6776,x6777),f845(x6772,x6773,x6774,x6775,x6776,x6777))
% 207.24/207.90 [678]~E(x6781,x6782)+E(f845(x6783,x6781,x6784,x6785,x6786,x6787),f845(x6783,x6782,x6784,x6785,x6786,x6787))
% 207.24/207.90 [679]~E(x6791,x6792)+E(f845(x6793,x6794,x6791,x6795,x6796,x6797),f845(x6793,x6794,x6792,x6795,x6796,x6797))
% 207.24/207.90 [680]~E(x6801,x6802)+E(f845(x6803,x6804,x6805,x6801,x6806,x6807),f845(x6803,x6804,x6805,x6802,x6806,x6807))
% 207.24/207.90 [681]~E(x6811,x6812)+E(f845(x6813,x6814,x6815,x6816,x6811,x6817),f845(x6813,x6814,x6815,x6816,x6812,x6817))
% 207.24/207.90 [682]~E(x6821,x6822)+E(f845(x6823,x6824,x6825,x6826,x6827,x6821),f845(x6823,x6824,x6825,x6826,x6827,x6822))
% 207.24/207.90 [683]~E(x6831,x6832)+E(f258(x6831,x6833,x6834,x6835,x6836,x6837),f258(x6832,x6833,x6834,x6835,x6836,x6837))
% 207.24/207.90 [684]~E(x6841,x6842)+E(f258(x6843,x6841,x6844,x6845,x6846,x6847),f258(x6843,x6842,x6844,x6845,x6846,x6847))
% 207.24/207.90 [685]~E(x6851,x6852)+E(f258(x6853,x6854,x6851,x6855,x6856,x6857),f258(x6853,x6854,x6852,x6855,x6856,x6857))
% 207.24/207.90 [686]~E(x6861,x6862)+E(f258(x6863,x6864,x6865,x6861,x6866,x6867),f258(x6863,x6864,x6865,x6862,x6866,x6867))
% 207.24/207.90 [687]~E(x6871,x6872)+E(f258(x6873,x6874,x6875,x6876,x6871,x6877),f258(x6873,x6874,x6875,x6876,x6872,x6877))
% 207.24/207.90 [688]~E(x6881,x6882)+E(f258(x6883,x6884,x6885,x6886,x6887,x6881),f258(x6883,x6884,x6885,x6886,x6887,x6882))
% 207.24/207.90 [689]~E(x6891,x6892)+E(f478(x6891,x6893,x6894),f478(x6892,x6893,x6894))
% 207.24/207.90 [690]~E(x6901,x6902)+E(f478(x6903,x6901,x6904),f478(x6903,x6902,x6904))
% 207.24/207.90 [691]~E(x6911,x6912)+E(f478(x6913,x6914,x6911),f478(x6913,x6914,x6912))
% 207.24/207.90 [692]~E(x6921,x6922)+E(f380(x6921,x6923),f380(x6922,x6923))
% 207.24/207.90 [693]~E(x6931,x6932)+E(f380(x6933,x6931),f380(x6933,x6932))
% 207.24/207.90 [694]~E(x6941,x6942)+E(f435(x6941,x6943),f435(x6942,x6943))
% 207.24/207.90 [695]~E(x6951,x6952)+E(f435(x6953,x6951),f435(x6953,x6952))
% 207.24/207.90 [696]~E(x6961,x6962)+E(f453(x6961,x6963,x6964,x6965),f453(x6962,x6963,x6964,x6965))
% 207.24/207.90 [697]~E(x6971,x6972)+E(f453(x6973,x6971,x6974,x6975),f453(x6973,x6972,x6974,x6975))
% 207.24/207.90 [698]~E(x6981,x6982)+E(f453(x6983,x6984,x6981,x6985),f453(x6983,x6984,x6982,x6985))
% 207.24/207.90 [699]~E(x6991,x6992)+E(f453(x6993,x6994,x6995,x6991),f453(x6993,x6994,x6995,x6992))
% 207.24/207.90 [700]~E(x7001,x7002)+E(f837(x7001,x7003,x7004,x7005,x7006,x7007,x7008,x7009),f837(x7002,x7003,x7004,x7005,x7006,x7007,x7008,x7009))
% 207.24/207.90 [701]~E(x7011,x7012)+E(f837(x7013,x7011,x7014,x7015,x7016,x7017,x7018,x7019),f837(x7013,x7012,x7014,x7015,x7016,x7017,x7018,x7019))
% 207.24/207.90 [702]~E(x7021,x7022)+E(f837(x7023,x7024,x7021,x7025,x7026,x7027,x7028,x7029),f837(x7023,x7024,x7022,x7025,x7026,x7027,x7028,x7029))
% 207.24/207.90 [703]~E(x7031,x7032)+E(f837(x7033,x7034,x7035,x7031,x7036,x7037,x7038,x7039),f837(x7033,x7034,x7035,x7032,x7036,x7037,x7038,x7039))
% 207.24/207.90 [704]~E(x7041,x7042)+E(f837(x7043,x7044,x7045,x7046,x7041,x7047,x7048,x7049),f837(x7043,x7044,x7045,x7046,x7042,x7047,x7048,x7049))
% 207.24/207.90 [705]~E(x7051,x7052)+E(f837(x7053,x7054,x7055,x7056,x7057,x7051,x7058,x7059),f837(x7053,x7054,x7055,x7056,x7057,x7052,x7058,x7059))
% 207.24/207.90 [706]~E(x7061,x7062)+E(f837(x7063,x7064,x7065,x7066,x7067,x7068,x7061,x7069),f837(x7063,x7064,x7065,x7066,x7067,x7068,x7062,x7069))
% 207.24/207.90 [707]~E(x7071,x7072)+E(f837(x7073,x7074,x7075,x7076,x7077,x7078,x7079,x7071),f837(x7073,x7074,x7075,x7076,x7077,x7078,x7079,x7072))
% 207.24/207.90 [708]~E(x7081,x7082)+E(f146(x7081,x7083),f146(x7082,x7083))
% 207.24/207.90 [709]~E(x7091,x7092)+E(f146(x7093,x7091),f146(x7093,x7092))
% 207.24/207.90 [710]~E(x7101,x7102)+E(f479(x7101,x7103,x7104),f479(x7102,x7103,x7104))
% 207.24/207.90 [711]~E(x7111,x7112)+E(f479(x7113,x7111,x7114),f479(x7113,x7112,x7114))
% 207.24/207.90 [712]~E(x7121,x7122)+E(f479(x7123,x7124,x7121),f479(x7123,x7124,x7122))
% 207.24/207.90 [713]~E(x7131,x7132)+E(f487(x7131,x7133),f487(x7132,x7133))
% 207.24/207.90 [714]~E(x7141,x7142)+E(f487(x7143,x7141),f487(x7143,x7142))
% 207.24/207.90 [715]~E(x7151,x7152)+E(f133(x7151,x7153),f133(x7152,x7153))
% 207.24/207.90 [716]~E(x7161,x7162)+E(f133(x7163,x7161),f133(x7163,x7162))
% 207.24/207.90 [717]~E(x7171,x7172)+E(f361(x7171,x7173,x7174,x7175,x7176,x7177,x7178),f361(x7172,x7173,x7174,x7175,x7176,x7177,x7178))
% 207.24/207.90 [718]~E(x7181,x7182)+E(f361(x7183,x7181,x7184,x7185,x7186,x7187,x7188),f361(x7183,x7182,x7184,x7185,x7186,x7187,x7188))
% 207.24/207.90 [719]~E(x7191,x7192)+E(f361(x7193,x7194,x7191,x7195,x7196,x7197,x7198),f361(x7193,x7194,x7192,x7195,x7196,x7197,x7198))
% 207.24/207.90 [720]~E(x7201,x7202)+E(f361(x7203,x7204,x7205,x7201,x7206,x7207,x7208),f361(x7203,x7204,x7205,x7202,x7206,x7207,x7208))
% 207.24/207.90 [721]~E(x7211,x7212)+E(f361(x7213,x7214,x7215,x7216,x7211,x7217,x7218),f361(x7213,x7214,x7215,x7216,x7212,x7217,x7218))
% 207.24/207.90 [722]~E(x7221,x7222)+E(f361(x7223,x7224,x7225,x7226,x7227,x7221,x7228),f361(x7223,x7224,x7225,x7226,x7227,x7222,x7228))
% 207.24/207.90 [723]~E(x7231,x7232)+E(f361(x7233,x7234,x7235,x7236,x7237,x7238,x7231),f361(x7233,x7234,x7235,x7236,x7237,x7238,x7232))
% 207.24/207.90 [724]~E(x7241,x7242)+E(f444(x7241,x7243,x7244,x7245),f444(x7242,x7243,x7244,x7245))
% 207.24/207.90 [725]~E(x7251,x7252)+E(f444(x7253,x7251,x7254,x7255),f444(x7253,x7252,x7254,x7255))
% 207.24/207.90 [726]~E(x7261,x7262)+E(f444(x7263,x7264,x7261,x7265),f444(x7263,x7264,x7262,x7265))
% 207.24/207.90 [727]~E(x7271,x7272)+E(f444(x7273,x7274,x7275,x7271),f444(x7273,x7274,x7275,x7272))
% 207.24/207.90 [728]~E(x7281,x7282)+E(f530(x7281),f530(x7282))
% 207.24/207.90 [729]~E(x7291,x7292)+E(f54(x7291,x7293),f54(x7292,x7293))
% 207.24/207.90 [730]~E(x7301,x7302)+E(f54(x7303,x7301),f54(x7303,x7302))
% 207.24/207.90 [731]~E(x7311,x7312)+E(f702(x7311,x7313),f702(x7312,x7313))
% 207.24/207.90 [732]~E(x7321,x7322)+E(f702(x7323,x7321),f702(x7323,x7322))
% 207.24/207.90 [733]~E(x7331,x7332)+E(f585(x7331,x7333),f585(x7332,x7333))
% 207.24/207.90 [734]~E(x7341,x7342)+E(f585(x7343,x7341),f585(x7343,x7342))
% 207.24/207.90 [735]~E(x7351,x7352)+E(f895(x7351,x7353,x7354,x7355,x7356),f895(x7352,x7353,x7354,x7355,x7356))
% 207.24/207.90 [736]~E(x7361,x7362)+E(f895(x7363,x7361,x7364,x7365,x7366),f895(x7363,x7362,x7364,x7365,x7366))
% 207.24/207.90 [737]~E(x7371,x7372)+E(f895(x7373,x7374,x7371,x7375,x7376),f895(x7373,x7374,x7372,x7375,x7376))
% 207.24/207.90 [738]~E(x7381,x7382)+E(f895(x7383,x7384,x7385,x7381,x7386),f895(x7383,x7384,x7385,x7382,x7386))
% 207.24/207.90 [739]~E(x7391,x7392)+E(f895(x7393,x7394,x7395,x7396,x7391),f895(x7393,x7394,x7395,x7396,x7392))
% 207.24/207.90 [740]~E(x7401,x7402)+E(f407(x7401,x7403),f407(x7402,x7403))
% 207.24/207.90 [741]~E(x7411,x7412)+E(f407(x7413,x7411),f407(x7413,x7412))
% 207.24/207.90 [742]~E(x7421,x7422)+E(f363(x7421,x7423,x7424),f363(x7422,x7423,x7424))
% 207.24/207.90 [743]~E(x7431,x7432)+E(f363(x7433,x7431,x7434),f363(x7433,x7432,x7434))
% 207.24/207.90 [744]~E(x7441,x7442)+E(f363(x7443,x7444,x7441),f363(x7443,x7444,x7442))
% 207.24/207.90 [745]~E(x7451,x7452)+E(f136(x7451),f136(x7452))
% 207.24/207.90 [746]~E(x7461,x7462)+E(f167(x7461,x7463,x7464),f167(x7462,x7463,x7464))
% 207.24/207.90 [747]~E(x7471,x7472)+E(f167(x7473,x7471,x7474),f167(x7473,x7472,x7474))
% 207.24/207.90 [748]~E(x7481,x7482)+E(f167(x7483,x7484,x7481),f167(x7483,x7484,x7482))
% 207.24/207.90 [749]~E(x7491,x7492)+E(f525(x7491,x7493,x7494),f525(x7492,x7493,x7494))
% 207.24/207.90 [750]~E(x7501,x7502)+E(f525(x7503,x7501,x7504),f525(x7503,x7502,x7504))
% 207.24/207.90 [751]~E(x7511,x7512)+E(f525(x7513,x7514,x7511),f525(x7513,x7514,x7512))
% 207.24/207.90 [752]~E(x7521,x7522)+E(f417(x7521,x7523,x7524),f417(x7522,x7523,x7524))
% 207.24/207.90 [753]~E(x7531,x7532)+E(f417(x7533,x7531,x7534),f417(x7533,x7532,x7534))
% 207.24/207.90 [754]~E(x7541,x7542)+E(f417(x7543,x7544,x7541),f417(x7543,x7544,x7542))
% 207.24/207.90 [755]~E(x7551,x7552)+E(f726(x7551,x7553),f726(x7552,x7553))
% 207.24/207.90 [756]~E(x7561,x7562)+E(f726(x7563,x7561),f726(x7563,x7562))
% 207.24/207.90 [757]~E(x7571,x7572)+E(f437(x7571,x7573,x7574,x7575),f437(x7572,x7573,x7574,x7575))
% 207.24/207.90 [758]~E(x7581,x7582)+E(f437(x7583,x7581,x7584,x7585),f437(x7583,x7582,x7584,x7585))
% 207.24/207.90 [759]~E(x7591,x7592)+E(f437(x7593,x7594,x7591,x7595),f437(x7593,x7594,x7592,x7595))
% 207.24/207.90 [760]~E(x7601,x7602)+E(f437(x7603,x7604,x7605,x7601),f437(x7603,x7604,x7605,x7602))
% 207.24/207.90 [761]~E(x7611,x7612)+E(f615(x7611,x7613,x7614,x7615,x7616),f615(x7612,x7613,x7614,x7615,x7616))
% 207.24/207.90 [762]~E(x7621,x7622)+E(f615(x7623,x7621,x7624,x7625,x7626),f615(x7623,x7622,x7624,x7625,x7626))
% 207.24/207.90 [763]~E(x7631,x7632)+E(f615(x7633,x7634,x7631,x7635,x7636),f615(x7633,x7634,x7632,x7635,x7636))
% 207.24/207.90 [764]~E(x7641,x7642)+E(f615(x7643,x7644,x7645,x7641,x7646),f615(x7643,x7644,x7645,x7642,x7646))
% 207.24/207.90 [765]~E(x7651,x7652)+E(f615(x7653,x7654,x7655,x7656,x7651),f615(x7653,x7654,x7655,x7656,x7652))
% 207.24/207.90 [766]~E(x7661,x7662)+E(f627(x7661,x7663,x7664,x7665),f627(x7662,x7663,x7664,x7665))
% 207.24/207.90 [767]~E(x7671,x7672)+E(f627(x7673,x7671,x7674,x7675),f627(x7673,x7672,x7674,x7675))
% 207.24/207.90 [768]~E(x7681,x7682)+E(f627(x7683,x7684,x7681,x7685),f627(x7683,x7684,x7682,x7685))
% 207.24/207.90 [769]~E(x7691,x7692)+E(f627(x7693,x7694,x7695,x7691),f627(x7693,x7694,x7695,x7692))
% 207.24/207.90 [770]~E(x7701,x7702)+E(f253(x7701,x7703,x7704,x7705,x7706),f253(x7702,x7703,x7704,x7705,x7706))
% 207.24/207.90 [771]~E(x7711,x7712)+E(f253(x7713,x7711,x7714,x7715,x7716),f253(x7713,x7712,x7714,x7715,x7716))
% 207.24/207.90 [772]~E(x7721,x7722)+E(f253(x7723,x7724,x7721,x7725,x7726),f253(x7723,x7724,x7722,x7725,x7726))
% 207.24/207.90 [773]~E(x7731,x7732)+E(f253(x7733,x7734,x7735,x7731,x7736),f253(x7733,x7734,x7735,x7732,x7736))
% 207.24/207.90 [774]~E(x7741,x7742)+E(f253(x7743,x7744,x7745,x7746,x7741),f253(x7743,x7744,x7745,x7746,x7742))
% 207.24/207.90 [775]~E(x7751,x7752)+E(f871(x7751,x7753,x7754,x7755),f871(x7752,x7753,x7754,x7755))
% 207.24/207.90 [776]~E(x7761,x7762)+E(f871(x7763,x7761,x7764,x7765),f871(x7763,x7762,x7764,x7765))
% 207.24/207.90 [777]~E(x7771,x7772)+E(f871(x7773,x7774,x7771,x7775),f871(x7773,x7774,x7772,x7775))
% 207.24/207.90 [778]~E(x7781,x7782)+E(f871(x7783,x7784,x7785,x7781),f871(x7783,x7784,x7785,x7782))
% 207.24/207.90 [779]~E(x7791,x7792)+E(f425(x7791,x7793,x7794),f425(x7792,x7793,x7794))
% 207.24/207.90 [780]~E(x7801,x7802)+E(f425(x7803,x7801,x7804),f425(x7803,x7802,x7804))
% 207.24/207.90 [781]~E(x7811,x7812)+E(f425(x7813,x7814,x7811),f425(x7813,x7814,x7812))
% 207.24/207.90 [782]~E(x7821,x7822)+E(f313(x7821,x7823,x7824,x7825),f313(x7822,x7823,x7824,x7825))
% 207.24/207.90 [783]~E(x7831,x7832)+E(f313(x7833,x7831,x7834,x7835),f313(x7833,x7832,x7834,x7835))
% 207.24/207.90 [784]~E(x7841,x7842)+E(f313(x7843,x7844,x7841,x7845),f313(x7843,x7844,x7842,x7845))
% 207.24/207.90 [785]~E(x7851,x7852)+E(f313(x7853,x7854,x7855,x7851),f313(x7853,x7854,x7855,x7852))
% 207.24/207.90 [786]~E(x7861,x7862)+E(f67(x7861,x7863,x7864),f67(x7862,x7863,x7864))
% 207.24/207.90 [787]~E(x7871,x7872)+E(f67(x7873,x7871,x7874),f67(x7873,x7872,x7874))
% 207.24/207.90 [788]~E(x7881,x7882)+E(f67(x7883,x7884,x7881),f67(x7883,x7884,x7882))
% 207.24/207.90 [789]~E(x7891,x7892)+E(f481(x7891,x7893,x7894,x7895,x7896),f481(x7892,x7893,x7894,x7895,x7896))
% 207.24/207.90 [790]~E(x7901,x7902)+E(f481(x7903,x7901,x7904,x7905,x7906),f481(x7903,x7902,x7904,x7905,x7906))
% 207.24/207.90 [791]~E(x7911,x7912)+E(f481(x7913,x7914,x7911,x7915,x7916),f481(x7913,x7914,x7912,x7915,x7916))
% 207.24/207.90 [792]~E(x7921,x7922)+E(f481(x7923,x7924,x7925,x7921,x7926),f481(x7923,x7924,x7925,x7922,x7926))
% 207.24/207.90 [793]~E(x7931,x7932)+E(f481(x7933,x7934,x7935,x7936,x7931),f481(x7933,x7934,x7935,x7936,x7932))
% 207.24/207.90 [794]~E(x7941,x7942)+E(f366(x7941,x7943,x7944),f366(x7942,x7943,x7944))
% 207.24/207.90 [795]~E(x7951,x7952)+E(f366(x7953,x7951,x7954),f366(x7953,x7952,x7954))
% 207.24/207.90 [796]~E(x7961,x7962)+E(f366(x7963,x7964,x7961),f366(x7963,x7964,x7962))
% 207.24/207.90 [797]~E(x7971,x7972)+E(f811(x7971,x7973,x7974,x7975,x7976,x7977),f811(x7972,x7973,x7974,x7975,x7976,x7977))
% 207.24/207.90 [798]~E(x7981,x7982)+E(f811(x7983,x7981,x7984,x7985,x7986,x7987),f811(x7983,x7982,x7984,x7985,x7986,x7987))
% 207.24/207.90 [799]~E(x7991,x7992)+E(f811(x7993,x7994,x7991,x7995,x7996,x7997),f811(x7993,x7994,x7992,x7995,x7996,x7997))
% 207.24/207.90 [800]~E(x8001,x8002)+E(f811(x8003,x8004,x8005,x8001,x8006,x8007),f811(x8003,x8004,x8005,x8002,x8006,x8007))
% 207.24/207.90 [801]~E(x8011,x8012)+E(f811(x8013,x8014,x8015,x8016,x8011,x8017),f811(x8013,x8014,x8015,x8016,x8012,x8017))
% 207.24/207.90 [802]~E(x8021,x8022)+E(f811(x8023,x8024,x8025,x8026,x8027,x8021),f811(x8023,x8024,x8025,x8026,x8027,x8022))
% 207.24/207.90 [803]~E(x8031,x8032)+E(f475(x8031,x8033,x8034),f475(x8032,x8033,x8034))
% 207.24/207.90 [804]~E(x8041,x8042)+E(f475(x8043,x8041,x8044),f475(x8043,x8042,x8044))
% 207.24/207.90 [805]~E(x8051,x8052)+E(f475(x8053,x8054,x8051),f475(x8053,x8054,x8052))
% 207.24/207.90 [806]~E(x8061,x8062)+E(f97(x8061),f97(x8062))
% 207.24/207.90 [807]~E(x8071,x8072)+E(f644(x8071,x8073,x8074),f644(x8072,x8073,x8074))
% 207.24/207.90 [808]~E(x8081,x8082)+E(f644(x8083,x8081,x8084),f644(x8083,x8082,x8084))
% 207.24/207.90 [809]~E(x8091,x8092)+E(f644(x8093,x8094,x8091),f644(x8093,x8094,x8092))
% 207.24/207.90 [810]~E(x8101,x8102)+E(f508(x8101,x8103,x8104,x8105),f508(x8102,x8103,x8104,x8105))
% 207.24/207.90 [811]~E(x8111,x8112)+E(f508(x8113,x8111,x8114,x8115),f508(x8113,x8112,x8114,x8115))
% 207.24/207.90 [812]~E(x8121,x8122)+E(f508(x8123,x8124,x8121,x8125),f508(x8123,x8124,x8122,x8125))
% 207.24/207.90 [813]~E(x8131,x8132)+E(f508(x8133,x8134,x8135,x8131),f508(x8133,x8134,x8135,x8132))
% 207.24/207.90 [814]~E(x8141,x8142)+E(f50(x8141,x8143),f50(x8142,x8143))
% 207.24/207.90 [815]~E(x8151,x8152)+E(f50(x8153,x8151),f50(x8153,x8152))
% 207.24/207.90 [816]~E(x8161,x8162)+E(f812(x8161,x8163),f812(x8162,x8163))
% 207.24/207.90 [817]~E(x8171,x8172)+E(f812(x8173,x8171),f812(x8173,x8172))
% 207.24/207.90 [818]~E(x8181,x8182)+E(f556(x8181,x8183,x8184,x8185),f556(x8182,x8183,x8184,x8185))
% 207.24/207.90 [819]~E(x8191,x8192)+E(f556(x8193,x8191,x8194,x8195),f556(x8193,x8192,x8194,x8195))
% 207.24/207.90 [820]~E(x8201,x8202)+E(f556(x8203,x8204,x8201,x8205),f556(x8203,x8204,x8202,x8205))
% 207.24/207.90 [821]~E(x8211,x8212)+E(f556(x8213,x8214,x8215,x8211),f556(x8213,x8214,x8215,x8212))
% 207.24/207.90 [822]~E(x8221,x8222)+E(f119(x8221,x8223,x8224),f119(x8222,x8223,x8224))
% 207.24/207.90 [823]~E(x8231,x8232)+E(f119(x8233,x8231,x8234),f119(x8233,x8232,x8234))
% 207.24/207.90 [824]~E(x8241,x8242)+E(f119(x8243,x8244,x8241),f119(x8243,x8244,x8242))
% 207.24/207.90 [825]~E(x8251,x8252)+E(f300(x8251,x8253,x8254,x8255,x8256),f300(x8252,x8253,x8254,x8255,x8256))
% 207.24/207.90 [826]~E(x8261,x8262)+E(f300(x8263,x8261,x8264,x8265,x8266),f300(x8263,x8262,x8264,x8265,x8266))
% 207.24/207.90 [827]~E(x8271,x8272)+E(f300(x8273,x8274,x8271,x8275,x8276),f300(x8273,x8274,x8272,x8275,x8276))
% 207.24/207.90 [828]~E(x8281,x8282)+E(f300(x8283,x8284,x8285,x8281,x8286),f300(x8283,x8284,x8285,x8282,x8286))
% 207.24/207.90 [829]~E(x8291,x8292)+E(f300(x8293,x8294,x8295,x8296,x8291),f300(x8293,x8294,x8295,x8296,x8292))
% 207.24/207.90 [830]~E(x8301,x8302)+E(f851(x8301,x8303,x8304),f851(x8302,x8303,x8304))
% 207.24/207.90 [831]~E(x8311,x8312)+E(f851(x8313,x8311,x8314),f851(x8313,x8312,x8314))
% 207.24/207.90 [832]~E(x8321,x8322)+E(f851(x8323,x8324,x8321),f851(x8323,x8324,x8322))
% 207.24/207.90 [833]~E(x8331,x8332)+E(f539(x8331,x8333,x8334,x8335,x8336),f539(x8332,x8333,x8334,x8335,x8336))
% 207.24/207.90 [834]~E(x8341,x8342)+E(f539(x8343,x8341,x8344,x8345,x8346),f539(x8343,x8342,x8344,x8345,x8346))
% 207.24/207.90 [835]~E(x8351,x8352)+E(f539(x8353,x8354,x8351,x8355,x8356),f539(x8353,x8354,x8352,x8355,x8356))
% 207.24/207.90 [836]~E(x8361,x8362)+E(f539(x8363,x8364,x8365,x8361,x8366),f539(x8363,x8364,x8365,x8362,x8366))
% 207.24/207.90 [837]~E(x8371,x8372)+E(f539(x8373,x8374,x8375,x8376,x8371),f539(x8373,x8374,x8375,x8376,x8372))
% 207.24/207.90 [838]~E(x8381,x8382)+E(f777(x8381,x8383,x8384,x8385),f777(x8382,x8383,x8384,x8385))
% 207.24/207.90 [839]~E(x8391,x8392)+E(f777(x8393,x8391,x8394,x8395),f777(x8393,x8392,x8394,x8395))
% 207.24/207.90 [840]~E(x8401,x8402)+E(f777(x8403,x8404,x8401,x8405),f777(x8403,x8404,x8402,x8405))
% 207.24/207.90 [841]~E(x8411,x8412)+E(f777(x8413,x8414,x8415,x8411),f777(x8413,x8414,x8415,x8412))
% 207.24/207.90 [842]~E(x8421,x8422)+E(f800(x8421,x8423),f800(x8422,x8423))
% 207.24/207.90 [843]~E(x8431,x8432)+E(f800(x8433,x8431),f800(x8433,x8432))
% 207.24/207.90 [844]~E(x8441,x8442)+E(f816(x8441,x8443,x8444),f816(x8442,x8443,x8444))
% 207.24/207.90 [845]~E(x8451,x8452)+E(f816(x8453,x8451,x8454),f816(x8453,x8452,x8454))
% 207.24/207.90 [846]~E(x8461,x8462)+E(f816(x8463,x8464,x8461),f816(x8463,x8464,x8462))
% 207.24/207.90 [847]~E(x8471,x8472)+E(f203(x8471),f203(x8472))
% 207.24/207.90 [848]~E(x8481,x8482)+E(f58(x8481),f58(x8482))
% 207.24/207.90 [849]~E(x8491,x8492)+E(f225(x8491,x8493,x8494,x8495,x8496),f225(x8492,x8493,x8494,x8495,x8496))
% 207.24/207.90 [850]~E(x8501,x8502)+E(f225(x8503,x8501,x8504,x8505,x8506),f225(x8503,x8502,x8504,x8505,x8506))
% 207.24/207.90 [851]~E(x8511,x8512)+E(f225(x8513,x8514,x8511,x8515,x8516),f225(x8513,x8514,x8512,x8515,x8516))
% 207.24/207.90 [852]~E(x8521,x8522)+E(f225(x8523,x8524,x8525,x8521,x8526),f225(x8523,x8524,x8525,x8522,x8526))
% 207.24/207.90 [853]~E(x8531,x8532)+E(f225(x8533,x8534,x8535,x8536,x8531),f225(x8533,x8534,x8535,x8536,x8532))
% 207.24/207.90 [854]~E(x8541,x8542)+E(f631(x8541,x8543,x8544),f631(x8542,x8543,x8544))
% 207.24/207.90 [855]~E(x8551,x8552)+E(f631(x8553,x8551,x8554),f631(x8553,x8552,x8554))
% 207.24/207.90 [856]~E(x8561,x8562)+E(f631(x8563,x8564,x8561),f631(x8563,x8564,x8562))
% 207.24/207.90 [857]~E(x8571,x8572)+E(f249(x8571,x8573,x8574),f249(x8572,x8573,x8574))
% 207.24/207.90 [858]~E(x8581,x8582)+E(f249(x8583,x8581,x8584),f249(x8583,x8582,x8584))
% 207.24/207.90 [859]~E(x8591,x8592)+E(f249(x8593,x8594,x8591),f249(x8593,x8594,x8592))
% 207.24/207.90 [860]~E(x8601,x8602)+E(f770(x8601,x8603,x8604,x8605,x8606),f770(x8602,x8603,x8604,x8605,x8606))
% 207.24/207.90 [861]~E(x8611,x8612)+E(f770(x8613,x8611,x8614,x8615,x8616),f770(x8613,x8612,x8614,x8615,x8616))
% 207.24/207.90 [862]~E(x8621,x8622)+E(f770(x8623,x8624,x8621,x8625,x8626),f770(x8623,x8624,x8622,x8625,x8626))
% 207.24/207.90 [863]~E(x8631,x8632)+E(f770(x8633,x8634,x8635,x8631,x8636),f770(x8633,x8634,x8635,x8632,x8636))
% 207.24/207.90 [864]~E(x8641,x8642)+E(f770(x8643,x8644,x8645,x8646,x8641),f770(x8643,x8644,x8645,x8646,x8642))
% 207.24/207.90 [865]~E(x8651,x8652)+E(f732(x8651,x8653,x8654,x8655,x8656),f732(x8652,x8653,x8654,x8655,x8656))
% 207.24/207.90 [866]~E(x8661,x8662)+E(f732(x8663,x8661,x8664,x8665,x8666),f732(x8663,x8662,x8664,x8665,x8666))
% 207.24/207.90 [867]~E(x8671,x8672)+E(f732(x8673,x8674,x8671,x8675,x8676),f732(x8673,x8674,x8672,x8675,x8676))
% 207.24/207.90 [868]~E(x8681,x8682)+E(f732(x8683,x8684,x8685,x8681,x8686),f732(x8683,x8684,x8685,x8682,x8686))
% 207.24/207.90 [869]~E(x8691,x8692)+E(f732(x8693,x8694,x8695,x8696,x8691),f732(x8693,x8694,x8695,x8696,x8692))
% 207.24/207.90 [870]~E(x8701,x8702)+E(f118(x8701,x8703,x8704),f118(x8702,x8703,x8704))
% 207.24/207.90 [871]~E(x8711,x8712)+E(f118(x8713,x8711,x8714),f118(x8713,x8712,x8714))
% 207.24/207.90 [872]~E(x8721,x8722)+E(f118(x8723,x8724,x8721),f118(x8723,x8724,x8722))
% 207.24/207.90 [873]~E(x8731,x8732)+E(f297(x8731,x8733,x8734,x8735,x8736),f297(x8732,x8733,x8734,x8735,x8736))
% 207.24/207.90 [874]~E(x8741,x8742)+E(f297(x8743,x8741,x8744,x8745,x8746),f297(x8743,x8742,x8744,x8745,x8746))
% 207.24/207.90 [875]~E(x8751,x8752)+E(f297(x8753,x8754,x8751,x8755,x8756),f297(x8753,x8754,x8752,x8755,x8756))
% 207.24/207.90 [876]~E(x8761,x8762)+E(f297(x8763,x8764,x8765,x8761,x8766),f297(x8763,x8764,x8765,x8762,x8766))
% 207.24/207.90 [877]~E(x8771,x8772)+E(f297(x8773,x8774,x8775,x8776,x8771),f297(x8773,x8774,x8775,x8776,x8772))
% 207.24/207.90 [878]~E(x8781,x8782)+E(f520(x8781,x8783,x8784,x8785,x8786,x8787,x8788),f520(x8782,x8783,x8784,x8785,x8786,x8787,x8788))
% 207.24/207.90 [879]~E(x8791,x8792)+E(f520(x8793,x8791,x8794,x8795,x8796,x8797,x8798),f520(x8793,x8792,x8794,x8795,x8796,x8797,x8798))
% 207.24/207.90 [880]~E(x8801,x8802)+E(f520(x8803,x8804,x8801,x8805,x8806,x8807,x8808),f520(x8803,x8804,x8802,x8805,x8806,x8807,x8808))
% 207.24/207.90 [881]~E(x8811,x8812)+E(f520(x8813,x8814,x8815,x8811,x8816,x8817,x8818),f520(x8813,x8814,x8815,x8812,x8816,x8817,x8818))
% 207.24/207.90 [882]~E(x8821,x8822)+E(f520(x8823,x8824,x8825,x8826,x8821,x8827,x8828),f520(x8823,x8824,x8825,x8826,x8822,x8827,x8828))
% 207.24/207.90 [883]~E(x8831,x8832)+E(f520(x8833,x8834,x8835,x8836,x8837,x8831,x8838),f520(x8833,x8834,x8835,x8836,x8837,x8832,x8838))
% 207.24/207.90 [884]~E(x8841,x8842)+E(f520(x8843,x8844,x8845,x8846,x8847,x8848,x8841),f520(x8843,x8844,x8845,x8846,x8847,x8848,x8842))
% 207.24/207.90 [885]~E(x8851,x8852)+E(f375(x8851,x8853,x8854,x8855,x8856),f375(x8852,x8853,x8854,x8855,x8856))
% 207.24/207.90 [886]~E(x8861,x8862)+E(f375(x8863,x8861,x8864,x8865,x8866),f375(x8863,x8862,x8864,x8865,x8866))
% 207.24/207.90 [887]~E(x8871,x8872)+E(f375(x8873,x8874,x8871,x8875,x8876),f375(x8873,x8874,x8872,x8875,x8876))
% 207.24/207.90 [888]~E(x8881,x8882)+E(f375(x8883,x8884,x8885,x8881,x8886),f375(x8883,x8884,x8885,x8882,x8886))
% 207.24/207.90 [889]~E(x8891,x8892)+E(f375(x8893,x8894,x8895,x8896,x8891),f375(x8893,x8894,x8895,x8896,x8892))
% 207.24/207.90 [890]~E(x8901,x8902)+E(f141(x8901,x8903,x8904),f141(x8902,x8903,x8904))
% 207.24/207.90 [891]~E(x8911,x8912)+E(f141(x8913,x8911,x8914),f141(x8913,x8912,x8914))
% 207.24/207.90 [892]~E(x8921,x8922)+E(f141(x8923,x8924,x8921),f141(x8923,x8924,x8922))
% 207.24/207.90 [893]~E(x8931,x8932)+E(f608(x8931,x8933),f608(x8932,x8933))
% 207.24/207.90 [894]~E(x8941,x8942)+E(f608(x8943,x8941),f608(x8943,x8942))
% 207.24/207.90 [895]~E(x8951,x8952)+E(f511(x8951,x8953,x8954,x8955,x8956,x8957,x8958),f511(x8952,x8953,x8954,x8955,x8956,x8957,x8958))
% 207.24/207.90 [896]~E(x8961,x8962)+E(f511(x8963,x8961,x8964,x8965,x8966,x8967,x8968),f511(x8963,x8962,x8964,x8965,x8966,x8967,x8968))
% 207.24/207.90 [897]~E(x8971,x8972)+E(f511(x8973,x8974,x8971,x8975,x8976,x8977,x8978),f511(x8973,x8974,x8972,x8975,x8976,x8977,x8978))
% 207.24/207.90 [898]~E(x8981,x8982)+E(f511(x8983,x8984,x8985,x8981,x8986,x8987,x8988),f511(x8983,x8984,x8985,x8982,x8986,x8987,x8988))
% 207.24/207.90 [899]~E(x8991,x8992)+E(f511(x8993,x8994,x8995,x8996,x8991,x8997,x8998),f511(x8993,x8994,x8995,x8996,x8992,x8997,x8998))
% 207.24/207.90 [900]~E(x9001,x9002)+E(f511(x9003,x9004,x9005,x9006,x9007,x9001,x9008),f511(x9003,x9004,x9005,x9006,x9007,x9002,x9008))
% 207.24/207.90 [901]~E(x9011,x9012)+E(f511(x9013,x9014,x9015,x9016,x9017,x9018,x9011),f511(x9013,x9014,x9015,x9016,x9017,x9018,x9012))
% 207.24/207.90 [902]~E(x9021,x9022)+E(f516(x9021,x9023),f516(x9022,x9023))
% 207.24/207.90 [903]~E(x9031,x9032)+E(f516(x9033,x9031),f516(x9033,x9032))
% 207.24/207.90 [904]~E(x9041,x9042)+E(f723(x9041,x9043),f723(x9042,x9043))
% 207.24/207.90 [905]~E(x9051,x9052)+E(f723(x9053,x9051),f723(x9053,x9052))
% 207.24/207.90 [906]~E(x9061,x9062)+E(f649(x9061,x9063,x9064,x9065,x9066),f649(x9062,x9063,x9064,x9065,x9066))
% 207.24/207.90 [907]~E(x9071,x9072)+E(f649(x9073,x9071,x9074,x9075,x9076),f649(x9073,x9072,x9074,x9075,x9076))
% 207.24/207.90 [908]~E(x9081,x9082)+E(f649(x9083,x9084,x9081,x9085,x9086),f649(x9083,x9084,x9082,x9085,x9086))
% 207.24/207.90 [909]~E(x9091,x9092)+E(f649(x9093,x9094,x9095,x9091,x9096),f649(x9093,x9094,x9095,x9092,x9096))
% 207.24/207.90 [910]~E(x9101,x9102)+E(f649(x9103,x9104,x9105,x9106,x9101),f649(x9103,x9104,x9105,x9106,x9102))
% 207.24/207.90 [911]~E(x9111,x9112)+E(f156(x9111,x9113,x9114),f156(x9112,x9113,x9114))
% 207.24/207.90 [912]~E(x9121,x9122)+E(f156(x9123,x9121,x9124),f156(x9123,x9122,x9124))
% 207.24/207.90 [913]~E(x9131,x9132)+E(f156(x9133,x9134,x9131),f156(x9133,x9134,x9132))
% 207.24/207.90 [914]~E(x9141,x9142)+E(f218(x9141,x9143),f218(x9142,x9143))
% 207.24/207.90 [915]~E(x9151,x9152)+E(f218(x9153,x9151),f218(x9153,x9152))
% 207.24/207.90 [916]~E(x9161,x9162)+E(f856(x9161,x9163,x9164),f856(x9162,x9163,x9164))
% 207.24/207.90 [917]~E(x9171,x9172)+E(f856(x9173,x9171,x9174),f856(x9173,x9172,x9174))
% 207.24/207.90 [918]~E(x9181,x9182)+E(f856(x9183,x9184,x9181),f856(x9183,x9184,x9182))
% 207.24/207.90 [919]~E(x9191,x9192)+E(f194(x9191,x9193),f194(x9192,x9193))
% 207.24/207.90 [920]~E(x9201,x9202)+E(f194(x9203,x9201),f194(x9203,x9202))
% 207.24/207.90 [921]~E(x9211,x9212)+E(f227(x9211,x9213,x9214,x9215,x9216),f227(x9212,x9213,x9214,x9215,x9216))
% 207.24/207.90 [922]~E(x9221,x9222)+E(f227(x9223,x9221,x9224,x9225,x9226),f227(x9223,x9222,x9224,x9225,x9226))
% 207.24/207.90 [923]~E(x9231,x9232)+E(f227(x9233,x9234,x9231,x9235,x9236),f227(x9233,x9234,x9232,x9235,x9236))
% 207.24/207.90 [924]~E(x9241,x9242)+E(f227(x9243,x9244,x9245,x9241,x9246),f227(x9243,x9244,x9245,x9242,x9246))
% 207.24/207.90 [925]~E(x9251,x9252)+E(f227(x9253,x9254,x9255,x9256,x9251),f227(x9253,x9254,x9255,x9256,x9252))
% 207.24/207.90 [926]~E(x9261,x9262)+E(f122(x9261,x9263),f122(x9262,x9263))
% 207.24/207.90 [927]~E(x9271,x9272)+E(f122(x9273,x9271),f122(x9273,x9272))
% 207.24/207.90 [928]~E(x9281,x9282)+E(f412(x9281,x9283,x9284),f412(x9282,x9283,x9284))
% 207.24/207.90 [929]~E(x9291,x9292)+E(f412(x9293,x9291,x9294),f412(x9293,x9292,x9294))
% 207.24/207.90 [930]~E(x9301,x9302)+E(f412(x9303,x9304,x9301),f412(x9303,x9304,x9302))
% 207.24/207.90 [931]~E(x9311,x9312)+E(f713(x9311,x9313,x9314),f713(x9312,x9313,x9314))
% 207.24/207.90 [932]~E(x9321,x9322)+E(f713(x9323,x9321,x9324),f713(x9323,x9322,x9324))
% 207.24/207.90 [933]~E(x9331,x9332)+E(f713(x9333,x9334,x9331),f713(x9333,x9334,x9332))
% 207.24/207.90 [934]~E(x9341,x9342)+E(f558(x9341,x9343,x9344,x9345,x9346,x9347),f558(x9342,x9343,x9344,x9345,x9346,x9347))
% 207.24/207.90 [935]~E(x9351,x9352)+E(f558(x9353,x9351,x9354,x9355,x9356,x9357),f558(x9353,x9352,x9354,x9355,x9356,x9357))
% 207.24/207.90 [936]~E(x9361,x9362)+E(f558(x9363,x9364,x9361,x9365,x9366,x9367),f558(x9363,x9364,x9362,x9365,x9366,x9367))
% 207.24/207.90 [937]~E(x9371,x9372)+E(f558(x9373,x9374,x9375,x9371,x9376,x9377),f558(x9373,x9374,x9375,x9372,x9376,x9377))
% 207.24/207.90 [938]~E(x9381,x9382)+E(f558(x9383,x9384,x9385,x9386,x9381,x9387),f558(x9383,x9384,x9385,x9386,x9382,x9387))
% 207.24/207.90 [939]~E(x9391,x9392)+E(f558(x9393,x9394,x9395,x9396,x9397,x9391),f558(x9393,x9394,x9395,x9396,x9397,x9392))
% 207.24/207.90 [940]~E(x9401,x9402)+E(f458(x9401,x9403,x9404,x9405,x9406),f458(x9402,x9403,x9404,x9405,x9406))
% 207.24/207.90 [941]~E(x9411,x9412)+E(f458(x9413,x9411,x9414,x9415,x9416),f458(x9413,x9412,x9414,x9415,x9416))
% 207.24/207.90 [942]~E(x9421,x9422)+E(f458(x9423,x9424,x9421,x9425,x9426),f458(x9423,x9424,x9422,x9425,x9426))
% 207.24/207.90 [943]~E(x9431,x9432)+E(f458(x9433,x9434,x9435,x9431,x9436),f458(x9433,x9434,x9435,x9432,x9436))
% 207.24/207.90 [944]~E(x9441,x9442)+E(f458(x9443,x9444,x9445,x9446,x9441),f458(x9443,x9444,x9445,x9446,x9442))
% 207.24/207.90 [945]~E(x9451,x9452)+E(f233(x9451,x9453,x9454,x9455),f233(x9452,x9453,x9454,x9455))
% 207.24/207.90 [946]~E(x9461,x9462)+E(f233(x9463,x9461,x9464,x9465),f233(x9463,x9462,x9464,x9465))
% 207.24/207.90 [947]~E(x9471,x9472)+E(f233(x9473,x9474,x9471,x9475),f233(x9473,x9474,x9472,x9475))
% 207.24/207.90 [948]~E(x9481,x9482)+E(f233(x9483,x9484,x9485,x9481),f233(x9483,x9484,x9485,x9482))
% 207.24/207.90 [949]~E(x9491,x9492)+E(f268(x9491,x9493),f268(x9492,x9493))
% 207.24/207.90 [950]~E(x9501,x9502)+E(f268(x9503,x9501),f268(x9503,x9502))
% 207.24/207.90 [951]~E(x9511,x9512)+E(f335(x9511),f335(x9512))
% 207.24/207.90 [952]~E(x9521,x9522)+E(f610(x9521,x9523),f610(x9522,x9523))
% 207.24/207.90 [953]~E(x9531,x9532)+E(f610(x9533,x9531),f610(x9533,x9532))
% 207.24/207.90 [954]~E(x9541,x9542)+E(f564(x9541,x9543,x9544,x9545,x9546,x9547,x9548,x9549),f564(x9542,x9543,x9544,x9545,x9546,x9547,x9548,x9549))
% 207.24/207.90 [955]~E(x9551,x9552)+E(f564(x9553,x9551,x9554,x9555,x9556,x9557,x9558,x9559),f564(x9553,x9552,x9554,x9555,x9556,x9557,x9558,x9559))
% 207.24/207.90 [956]~E(x9561,x9562)+E(f564(x9563,x9564,x9561,x9565,x9566,x9567,x9568,x9569),f564(x9563,x9564,x9562,x9565,x9566,x9567,x9568,x9569))
% 207.24/207.90 [957]~E(x9571,x9572)+E(f564(x9573,x9574,x9575,x9571,x9576,x9577,x9578,x9579),f564(x9573,x9574,x9575,x9572,x9576,x9577,x9578,x9579))
% 207.24/207.90 [958]~E(x9581,x9582)+E(f564(x9583,x9584,x9585,x9586,x9581,x9587,x9588,x9589),f564(x9583,x9584,x9585,x9586,x9582,x9587,x9588,x9589))
% 207.24/207.90 [959]~E(x9591,x9592)+E(f564(x9593,x9594,x9595,x9596,x9597,x9591,x9598,x9599),f564(x9593,x9594,x9595,x9596,x9597,x9592,x9598,x9599))
% 207.24/207.90 [960]~E(x9601,x9602)+E(f564(x9603,x9604,x9605,x9606,x9607,x9608,x9601,x9609),f564(x9603,x9604,x9605,x9606,x9607,x9608,x9602,x9609))
% 207.24/207.90 [961]~E(x9611,x9612)+E(f564(x9613,x9614,x9615,x9616,x9617,x9618,x9619,x9611),f564(x9613,x9614,x9615,x9616,x9617,x9618,x9619,x9612))
% 207.24/207.90 [962]~E(x9621,x9622)+E(f863(x9621,x9623,x9624),f863(x9622,x9623,x9624))
% 207.24/207.90 [963]~E(x9631,x9632)+E(f863(x9633,x9631,x9634),f863(x9633,x9632,x9634))
% 207.24/207.90 [964]~E(x9641,x9642)+E(f863(x9643,x9644,x9641),f863(x9643,x9644,x9642))
% 207.24/207.90 [965]~E(x9651,x9652)+E(f275(x9651,x9653),f275(x9652,x9653))
% 207.24/207.90 [966]~E(x9661,x9662)+E(f275(x9663,x9661),f275(x9663,x9662))
% 207.24/207.90 [967]~E(x9671,x9672)+E(f870(x9671,x9673,x9674,x9675),f870(x9672,x9673,x9674,x9675))
% 207.24/207.90 [968]~E(x9681,x9682)+E(f870(x9683,x9681,x9684,x9685),f870(x9683,x9682,x9684,x9685))
% 207.24/207.90 [969]~E(x9691,x9692)+E(f870(x9693,x9694,x9691,x9695),f870(x9693,x9694,x9692,x9695))
% 207.24/207.90 [970]~E(x9701,x9702)+E(f870(x9703,x9704,x9705,x9701),f870(x9703,x9704,x9705,x9702))
% 207.24/207.90 [971]~E(x9711,x9712)+E(f591(x9711,x9713,x9714,x9715,x9716,x9717),f591(x9712,x9713,x9714,x9715,x9716,x9717))
% 207.24/207.90 [972]~E(x9721,x9722)+E(f591(x9723,x9721,x9724,x9725,x9726,x9727),f591(x9723,x9722,x9724,x9725,x9726,x9727))
% 207.24/207.90 [973]~E(x9731,x9732)+E(f591(x9733,x9734,x9731,x9735,x9736,x9737),f591(x9733,x9734,x9732,x9735,x9736,x9737))
% 207.24/207.90 [974]~E(x9741,x9742)+E(f591(x9743,x9744,x9745,x9741,x9746,x9747),f591(x9743,x9744,x9745,x9742,x9746,x9747))
% 207.24/207.90 [975]~E(x9751,x9752)+E(f591(x9753,x9754,x9755,x9756,x9751,x9757),f591(x9753,x9754,x9755,x9756,x9752,x9757))
% 207.24/207.90 [976]~E(x9761,x9762)+E(f591(x9763,x9764,x9765,x9766,x9767,x9761),f591(x9763,x9764,x9765,x9766,x9767,x9762))
% 207.24/207.90 [977]~E(x9771,x9772)+E(f678(x9771,x9773,x9774,x9775,x9776),f678(x9772,x9773,x9774,x9775,x9776))
% 207.24/207.90 [978]~E(x9781,x9782)+E(f678(x9783,x9781,x9784,x9785,x9786),f678(x9783,x9782,x9784,x9785,x9786))
% 207.24/207.90 [979]~E(x9791,x9792)+E(f678(x9793,x9794,x9791,x9795,x9796),f678(x9793,x9794,x9792,x9795,x9796))
% 207.24/207.90 [980]~E(x9801,x9802)+E(f678(x9803,x9804,x9805,x9801,x9806),f678(x9803,x9804,x9805,x9802,x9806))
% 207.24/207.90 [981]~E(x9811,x9812)+E(f678(x9813,x9814,x9815,x9816,x9811),f678(x9813,x9814,x9815,x9816,x9812))
% 207.24/207.90 [982]~E(x9821,x9822)+E(f613(x9821,x9823,x9824,x9825,x9826),f613(x9822,x9823,x9824,x9825,x9826))
% 207.24/207.90 [983]~E(x9831,x9832)+E(f613(x9833,x9831,x9834,x9835,x9836),f613(x9833,x9832,x9834,x9835,x9836))
% 207.24/207.90 [984]~E(x9841,x9842)+E(f613(x9843,x9844,x9841,x9845,x9846),f613(x9843,x9844,x9842,x9845,x9846))
% 207.24/207.90 [985]~E(x9851,x9852)+E(f613(x9853,x9854,x9855,x9851,x9856),f613(x9853,x9854,x9855,x9852,x9856))
% 207.24/207.90 [986]~E(x9861,x9862)+E(f613(x9863,x9864,x9865,x9866,x9861),f613(x9863,x9864,x9865,x9866,x9862))
% 207.24/207.90 [987]~E(x9871,x9872)+E(f906(x9871,x9873,x9874,x9875,x9876,x9877,x9878),f906(x9872,x9873,x9874,x9875,x9876,x9877,x9878))
% 207.24/207.90 [988]~E(x9881,x9882)+E(f906(x9883,x9881,x9884,x9885,x9886,x9887,x9888),f906(x9883,x9882,x9884,x9885,x9886,x9887,x9888))
% 207.24/207.90 [989]~E(x9891,x9892)+E(f906(x9893,x9894,x9891,x9895,x9896,x9897,x9898),f906(x9893,x9894,x9892,x9895,x9896,x9897,x9898))
% 207.24/207.90 [990]~E(x9901,x9902)+E(f906(x9903,x9904,x9905,x9901,x9906,x9907,x9908),f906(x9903,x9904,x9905,x9902,x9906,x9907,x9908))
% 207.24/207.90 [991]~E(x9911,x9912)+E(f906(x9913,x9914,x9915,x9916,x9911,x9917,x9918),f906(x9913,x9914,x9915,x9916,x9912,x9917,x9918))
% 207.24/207.90 [992]~E(x9921,x9922)+E(f906(x9923,x9924,x9925,x9926,x9927,x9921,x9928),f906(x9923,x9924,x9925,x9926,x9927,x9922,x9928))
% 207.24/207.90 [993]~E(x9931,x9932)+E(f906(x9933,x9934,x9935,x9936,x9937,x9938,x9931),f906(x9933,x9934,x9935,x9936,x9937,x9938,x9932))
% 207.24/207.90 [994]~E(x9941,x9942)+E(f900(x9941,x9943,x9944,x9945),f900(x9942,x9943,x9944,x9945))
% 207.24/207.90 [995]~E(x9951,x9952)+E(f900(x9953,x9951,x9954,x9955),f900(x9953,x9952,x9954,x9955))
% 207.24/207.90 [996]~E(x9961,x9962)+E(f900(x9963,x9964,x9961,x9965),f900(x9963,x9964,x9962,x9965))
% 207.24/207.90 [997]~E(x9971,x9972)+E(f900(x9973,x9974,x9975,x9971),f900(x9973,x9974,x9975,x9972))
% 207.24/207.90 [998]~E(x9981,x9982)+E(f349(x9981,x9983,x9984,x9985,x9986),f349(x9982,x9983,x9984,x9985,x9986))
% 207.24/207.90 [999]~E(x9991,x9992)+E(f349(x9993,x9991,x9994,x9995,x9996),f349(x9993,x9992,x9994,x9995,x9996))
% 207.24/207.90 [1000]~E(x10001,x10002)+E(f349(x10003,x10004,x10001,x10005,x10006),f349(x10003,x10004,x10002,x10005,x10006))
% 207.24/207.90 [1001]~E(x10011,x10012)+E(f349(x10013,x10014,x10015,x10011,x10016),f349(x10013,x10014,x10015,x10012,x10016))
% 207.24/207.90 [1002]~E(x10021,x10022)+E(f349(x10023,x10024,x10025,x10026,x10021),f349(x10023,x10024,x10025,x10026,x10022))
% 207.24/207.90 [1003]~E(x10031,x10032)+E(f207(x10031,x10033,x10034,x10035),f207(x10032,x10033,x10034,x10035))
% 207.24/207.90 [1004]~E(x10041,x10042)+E(f207(x10043,x10041,x10044,x10045),f207(x10043,x10042,x10044,x10045))
% 207.24/207.90 [1005]~E(x10051,x10052)+E(f207(x10053,x10054,x10051,x10055),f207(x10053,x10054,x10052,x10055))
% 207.24/207.90 [1006]~E(x10061,x10062)+E(f207(x10063,x10064,x10065,x10061),f207(x10063,x10064,x10065,x10062))
% 207.24/207.90 [1007]~E(x10071,x10072)+E(f502(x10071,x10073,x10074),f502(x10072,x10073,x10074))
% 207.24/207.90 [1008]~E(x10081,x10082)+E(f502(x10083,x10081,x10084),f502(x10083,x10082,x10084))
% 207.24/207.90 [1009]~E(x10091,x10092)+E(f502(x10093,x10094,x10091),f502(x10093,x10094,x10092))
% 207.24/207.90 [1010]~E(x10101,x10102)+E(f284(x10101,x10103),f284(x10102,x10103))
% 207.24/207.90 [1011]~E(x10111,x10112)+E(f284(x10113,x10111),f284(x10113,x10112))
% 207.24/207.90 [1012]~E(x10121,x10122)+E(f295(x10121,x10123,x10124),f295(x10122,x10123,x10124))
% 207.24/207.90 [1013]~E(x10131,x10132)+E(f295(x10133,x10131,x10134),f295(x10133,x10132,x10134))
% 207.24/207.90 [1014]~E(x10141,x10142)+E(f295(x10143,x10144,x10141),f295(x10143,x10144,x10142))
% 207.24/207.90 [1015]~E(x10151,x10152)+E(f706(x10151,x10153,x10154),f706(x10152,x10153,x10154))
% 207.24/207.90 [1016]~E(x10161,x10162)+E(f706(x10163,x10161,x10164),f706(x10163,x10162,x10164))
% 207.24/207.90 [1017]~E(x10171,x10172)+E(f706(x10173,x10174,x10171),f706(x10173,x10174,x10172))
% 207.24/207.90 [1018]~E(x10181,x10182)+E(f547(x10181,x10183,x10184,x10185),f547(x10182,x10183,x10184,x10185))
% 207.24/207.90 [1019]~E(x10191,x10192)+E(f547(x10193,x10191,x10194,x10195),f547(x10193,x10192,x10194,x10195))
% 207.24/207.90 [1020]~E(x10201,x10202)+E(f547(x10203,x10204,x10201,x10205),f547(x10203,x10204,x10202,x10205))
% 207.24/207.90 [1021]~E(x10211,x10212)+E(f547(x10213,x10214,x10215,x10211),f547(x10213,x10214,x10215,x10212))
% 207.24/207.90 [1022]~E(x10221,x10222)+E(f633(x10221,x10223,x10224),f633(x10222,x10223,x10224))
% 207.24/207.90 [1023]~E(x10231,x10232)+E(f633(x10233,x10231,x10234),f633(x10233,x10232,x10234))
% 207.24/207.90 [1024]~E(x10241,x10242)+E(f633(x10243,x10244,x10241),f633(x10243,x10244,x10242))
% 207.24/207.90 [1025]~E(x10251,x10252)+E(f206(x10251),f206(x10252))
% 207.24/207.90 [1026]~E(x10261,x10262)+E(f397(x10261,x10263,x10264,x10265,x10266),f397(x10262,x10263,x10264,x10265,x10266))
% 207.24/207.90 [1027]~E(x10271,x10272)+E(f397(x10273,x10271,x10274,x10275,x10276),f397(x10273,x10272,x10274,x10275,x10276))
% 207.24/207.90 [1028]~E(x10281,x10282)+E(f397(x10283,x10284,x10281,x10285,x10286),f397(x10283,x10284,x10282,x10285,x10286))
% 207.24/207.90 [1029]~E(x10291,x10292)+E(f397(x10293,x10294,x10295,x10291,x10296),f397(x10293,x10294,x10295,x10292,x10296))
% 207.24/207.90 [1030]~E(x10301,x10302)+E(f397(x10303,x10304,x10305,x10306,x10301),f397(x10303,x10304,x10305,x10306,x10302))
% 207.24/207.90 [1031]~E(x10311,x10312)+E(f899(x10311,x10313,x10314,x10315),f899(x10312,x10313,x10314,x10315))
% 207.24/207.90 [1032]~E(x10321,x10322)+E(f899(x10323,x10321,x10324,x10325),f899(x10323,x10322,x10324,x10325))
% 207.24/207.90 [1033]~E(x10331,x10332)+E(f899(x10333,x10334,x10331,x10335),f899(x10333,x10334,x10332,x10335))
% 207.24/207.90 [1034]~E(x10341,x10342)+E(f899(x10343,x10344,x10345,x10341),f899(x10343,x10344,x10345,x10342))
% 207.24/207.90 [1035]~E(x10351,x10352)+E(f304(x10351),f304(x10352))
% 207.24/207.90 [1036]~E(x10361,x10362)+E(f662(x10361,x10363),f662(x10362,x10363))
% 207.24/207.90 [1037]~E(x10371,x10372)+E(f662(x10373,x10371),f662(x10373,x10372))
% 207.24/207.90 [1038]~E(x10381,x10382)+E(f432(x10381,x10383,x10384),f432(x10382,x10383,x10384))
% 207.24/207.90 [1039]~E(x10391,x10392)+E(f432(x10393,x10391,x10394),f432(x10393,x10392,x10394))
% 207.24/207.90 [1040]~E(x10401,x10402)+E(f432(x10403,x10404,x10401),f432(x10403,x10404,x10402))
% 207.24/207.90 [1041]~E(x10411,x10412)+E(f728(x10411,x10413,x10414,x10415,x10416,x10417,x10418,x10419),f728(x10412,x10413,x10414,x10415,x10416,x10417,x10418,x10419))
% 207.24/207.90 [1042]~E(x10421,x10422)+E(f728(x10423,x10421,x10424,x10425,x10426,x10427,x10428,x10429),f728(x10423,x10422,x10424,x10425,x10426,x10427,x10428,x10429))
% 207.24/207.90 [1043]~E(x10431,x10432)+E(f728(x10433,x10434,x10431,x10435,x10436,x10437,x10438,x10439),f728(x10433,x10434,x10432,x10435,x10436,x10437,x10438,x10439))
% 207.24/207.90 [1044]~E(x10441,x10442)+E(f728(x10443,x10444,x10445,x10441,x10446,x10447,x10448,x10449),f728(x10443,x10444,x10445,x10442,x10446,x10447,x10448,x10449))
% 207.24/207.90 [1045]~E(x10451,x10452)+E(f728(x10453,x10454,x10455,x10456,x10451,x10457,x10458,x10459),f728(x10453,x10454,x10455,x10456,x10452,x10457,x10458,x10459))
% 207.24/207.90 [1046]~E(x10461,x10462)+E(f728(x10463,x10464,x10465,x10466,x10467,x10461,x10468,x10469),f728(x10463,x10464,x10465,x10466,x10467,x10462,x10468,x10469))
% 207.24/207.90 [1047]~E(x10471,x10472)+E(f728(x10473,x10474,x10475,x10476,x10477,x10478,x10471,x10479),f728(x10473,x10474,x10475,x10476,x10477,x10478,x10472,x10479))
% 207.24/207.90 [1048]~E(x10481,x10482)+E(f728(x10483,x10484,x10485,x10486,x10487,x10488,x10489,x10481),f728(x10483,x10484,x10485,x10486,x10487,x10488,x10489,x10482))
% 207.24/207.90 [1049]~E(x10491,x10492)+E(f736(x10491,x10493,x10494,x10495),f736(x10492,x10493,x10494,x10495))
% 207.24/207.90 [1050]~E(x10501,x10502)+E(f736(x10503,x10501,x10504,x10505),f736(x10503,x10502,x10504,x10505))
% 207.24/207.90 [1051]~E(x10511,x10512)+E(f736(x10513,x10514,x10511,x10515),f736(x10513,x10514,x10512,x10515))
% 207.24/207.90 [1052]~E(x10521,x10522)+E(f736(x10523,x10524,x10525,x10521),f736(x10523,x10524,x10525,x10522))
% 207.24/207.90 [1053]~E(x10531,x10532)+E(f273(x10531,x10533,x10534,x10535),f273(x10532,x10533,x10534,x10535))
% 207.24/207.90 [1054]~E(x10541,x10542)+E(f273(x10543,x10541,x10544,x10545),f273(x10543,x10542,x10544,x10545))
% 207.24/207.90 [1055]~E(x10551,x10552)+E(f273(x10553,x10554,x10551,x10555),f273(x10553,x10554,x10552,x10555))
% 207.24/207.90 [1056]~E(x10561,x10562)+E(f273(x10563,x10564,x10565,x10561),f273(x10563,x10564,x10565,x10562))
% 207.24/207.90 [1057]~E(x10571,x10572)+E(f874(x10571,x10573,x10574,x10575),f874(x10572,x10573,x10574,x10575))
% 207.24/207.90 [1058]~E(x10581,x10582)+E(f874(x10583,x10581,x10584,x10585),f874(x10583,x10582,x10584,x10585))
% 207.24/207.90 [1059]~E(x10591,x10592)+E(f874(x10593,x10594,x10591,x10595),f874(x10593,x10594,x10592,x10595))
% 207.24/207.90 [1060]~E(x10601,x10602)+E(f874(x10603,x10604,x10605,x10601),f874(x10603,x10604,x10605,x10602))
% 207.24/207.90 [1061]~E(x10611,x10612)+E(f265(x10611,x10613,x10614),f265(x10612,x10613,x10614))
% 207.24/207.90 [1062]~E(x10621,x10622)+E(f265(x10623,x10621,x10624),f265(x10623,x10622,x10624))
% 207.24/207.90 [1063]~E(x10631,x10632)+E(f265(x10633,x10634,x10631),f265(x10633,x10634,x10632))
% 207.24/207.90 [1064]~E(x10641,x10642)+E(f505(x10641,x10643,x10644),f505(x10642,x10643,x10644))
% 207.24/207.90 [1065]~E(x10651,x10652)+E(f505(x10653,x10651,x10654),f505(x10653,x10652,x10654))
% 207.24/207.90 [1066]~E(x10661,x10662)+E(f505(x10663,x10664,x10661),f505(x10663,x10664,x10662))
% 207.24/207.90 [1067]~E(x10671,x10672)+E(f875(x10671,x10673,x10674,x10675),f875(x10672,x10673,x10674,x10675))
% 207.24/207.90 [1068]~E(x10681,x10682)+E(f875(x10683,x10681,x10684,x10685),f875(x10683,x10682,x10684,x10685))
% 207.24/207.90 [1069]~E(x10691,x10692)+E(f875(x10693,x10694,x10691,x10695),f875(x10693,x10694,x10692,x10695))
% 207.24/207.90 [1070]~E(x10701,x10702)+E(f875(x10703,x10704,x10705,x10701),f875(x10703,x10704,x10705,x10702))
% 207.24/207.90 [1071]~E(x10711,x10712)+E(f507(x10711,x10713,x10714,x10715,x10716,x10717),f507(x10712,x10713,x10714,x10715,x10716,x10717))
% 207.24/207.90 [1072]~E(x10721,x10722)+E(f507(x10723,x10721,x10724,x10725,x10726,x10727),f507(x10723,x10722,x10724,x10725,x10726,x10727))
% 207.24/207.90 [1073]~E(x10731,x10732)+E(f507(x10733,x10734,x10731,x10735,x10736,x10737),f507(x10733,x10734,x10732,x10735,x10736,x10737))
% 207.24/207.90 [1074]~E(x10741,x10742)+E(f507(x10743,x10744,x10745,x10741,x10746,x10747),f507(x10743,x10744,x10745,x10742,x10746,x10747))
% 207.24/207.90 [1075]~E(x10751,x10752)+E(f507(x10753,x10754,x10755,x10756,x10751,x10757),f507(x10753,x10754,x10755,x10756,x10752,x10757))
% 207.24/207.90 [1076]~E(x10761,x10762)+E(f507(x10763,x10764,x10765,x10766,x10767,x10761),f507(x10763,x10764,x10765,x10766,x10767,x10762))
% 207.24/207.90 [1077]~E(x10771,x10772)+E(f452(x10771,x10773,x10774,x10775),f452(x10772,x10773,x10774,x10775))
% 207.24/207.90 [1078]~E(x10781,x10782)+E(f452(x10783,x10781,x10784,x10785),f452(x10783,x10782,x10784,x10785))
% 207.24/207.90 [1079]~E(x10791,x10792)+E(f452(x10793,x10794,x10791,x10795),f452(x10793,x10794,x10792,x10795))
% 207.24/207.90 [1080]~E(x10801,x10802)+E(f452(x10803,x10804,x10805,x10801),f452(x10803,x10804,x10805,x10802))
% 207.24/207.90 [1081]~E(x10811,x10812)+E(f718(x10811,x10813,x10814,x10815),f718(x10812,x10813,x10814,x10815))
% 207.24/207.90 [1082]~E(x10821,x10822)+E(f718(x10823,x10821,x10824,x10825),f718(x10823,x10822,x10824,x10825))
% 207.24/207.90 [1083]~E(x10831,x10832)+E(f718(x10833,x10834,x10831,x10835),f718(x10833,x10834,x10832,x10835))
% 207.24/207.90 [1084]~E(x10841,x10842)+E(f718(x10843,x10844,x10845,x10841),f718(x10843,x10844,x10845,x10842))
% 207.24/207.90 [1085]~E(x10851,x10852)+E(f761(x10851,x10853,x10854),f761(x10852,x10853,x10854))
% 207.24/207.90 [1086]~E(x10861,x10862)+E(f761(x10863,x10861,x10864),f761(x10863,x10862,x10864))
% 207.24/207.90 [1087]~E(x10871,x10872)+E(f761(x10873,x10874,x10871),f761(x10873,x10874,x10872))
% 207.24/207.90 [1088]~E(x10881,x10882)+E(f759(x10881,x10883),f759(x10882,x10883))
% 207.24/207.90 [1089]~E(x10891,x10892)+E(f759(x10893,x10891),f759(x10893,x10892))
% 207.24/207.90 [1090]~E(x10901,x10902)+E(f305(x10901,x10903,x10904),f305(x10902,x10903,x10904))
% 207.24/207.90 [1091]~E(x10911,x10912)+E(f305(x10913,x10911,x10914),f305(x10913,x10912,x10914))
% 207.24/207.90 [1092]~E(x10921,x10922)+E(f305(x10923,x10924,x10921),f305(x10923,x10924,x10922))
% 207.24/207.90 [1093]~E(x10931,x10932)+E(f506(x10931,x10933,x10934,x10935),f506(x10932,x10933,x10934,x10935))
% 207.24/207.90 [1094]~E(x10941,x10942)+E(f506(x10943,x10941,x10944,x10945),f506(x10943,x10942,x10944,x10945))
% 207.24/207.90 [1095]~E(x10951,x10952)+E(f506(x10953,x10954,x10951,x10955),f506(x10953,x10954,x10952,x10955))
% 207.24/207.90 [1096]~E(x10961,x10962)+E(f506(x10963,x10964,x10965,x10961),f506(x10963,x10964,x10965,x10962))
% 207.24/207.90 [1097]~E(x10971,x10972)+E(f630(x10971,x10973,x10974),f630(x10972,x10973,x10974))
% 207.24/207.90 [1098]~E(x10981,x10982)+E(f630(x10983,x10981,x10984),f630(x10983,x10982,x10984))
% 207.24/207.90 [1099]~E(x10991,x10992)+E(f630(x10993,x10994,x10991),f630(x10993,x10994,x10992))
% 207.24/207.90 [1100]~E(x11001,x11002)+E(f490(x11001,x11003),f490(x11002,x11003))
% 207.24/207.90 [1101]~E(x11011,x11012)+E(f490(x11013,x11011),f490(x11013,x11012))
% 207.24/207.90 [1102]~E(x11021,x11022)+E(f269(x11021,x11023),f269(x11022,x11023))
% 207.24/207.90 [1103]~E(x11031,x11032)+E(f269(x11033,x11031),f269(x11033,x11032))
% 207.24/207.90 [1104]~E(x11041,x11042)+E(f641(x11041,x11043,x11044,x11045),f641(x11042,x11043,x11044,x11045))
% 207.24/207.90 [1105]~E(x11051,x11052)+E(f641(x11053,x11051,x11054,x11055),f641(x11053,x11052,x11054,x11055))
% 207.24/207.90 [1106]~E(x11061,x11062)+E(f641(x11063,x11064,x11061,x11065),f641(x11063,x11064,x11062,x11065))
% 207.24/207.90 [1107]~E(x11071,x11072)+E(f641(x11073,x11074,x11075,x11071),f641(x11073,x11074,x11075,x11072))
% 207.24/207.90 [1108]~E(x11081,x11082)+E(f418(x11081,x11083,x11084),f418(x11082,x11083,x11084))
% 207.24/207.90 [1109]~E(x11091,x11092)+E(f418(x11093,x11091,x11094),f418(x11093,x11092,x11094))
% 207.24/207.91 [1110]~E(x11101,x11102)+E(f418(x11103,x11104,x11101),f418(x11103,x11104,x11102))
% 207.24/207.91 [1111]~E(x11111,x11112)+E(f882(x11111,x11113),f882(x11112,x11113))
% 207.24/207.91 [1112]~E(x11121,x11122)+E(f882(x11123,x11121),f882(x11123,x11122))
% 207.24/207.91 [1113]~E(x11131,x11132)+E(f524(x11131,x11133,x11134,x11135,x11136,x11137,x11138),f524(x11132,x11133,x11134,x11135,x11136,x11137,x11138))
% 207.24/207.91 [1114]~E(x11141,x11142)+E(f524(x11143,x11141,x11144,x11145,x11146,x11147,x11148),f524(x11143,x11142,x11144,x11145,x11146,x11147,x11148))
% 207.24/207.91 [1115]~E(x11151,x11152)+E(f524(x11153,x11154,x11151,x11155,x11156,x11157,x11158),f524(x11153,x11154,x11152,x11155,x11156,x11157,x11158))
% 207.24/207.91 [1116]~E(x11161,x11162)+E(f524(x11163,x11164,x11165,x11161,x11166,x11167,x11168),f524(x11163,x11164,x11165,x11162,x11166,x11167,x11168))
% 207.24/207.91 [1117]~E(x11171,x11172)+E(f524(x11173,x11174,x11175,x11176,x11171,x11177,x11178),f524(x11173,x11174,x11175,x11176,x11172,x11177,x11178))
% 207.24/207.91 [1118]~E(x11181,x11182)+E(f524(x11183,x11184,x11185,x11186,x11187,x11181,x11188),f524(x11183,x11184,x11185,x11186,x11187,x11182,x11188))
% 207.24/207.91 [1119]~E(x11191,x11192)+E(f524(x11193,x11194,x11195,x11196,x11197,x11198,x11191),f524(x11193,x11194,x11195,x11196,x11197,x11198,x11192))
% 207.24/207.91 [1120]~E(x11201,x11202)+E(f384(x11201,x11203,x11204,x11205,x11206),f384(x11202,x11203,x11204,x11205,x11206))
% 207.24/207.91 [1121]~E(x11211,x11212)+E(f384(x11213,x11211,x11214,x11215,x11216),f384(x11213,x11212,x11214,x11215,x11216))
% 207.24/207.91 [1122]~E(x11221,x11222)+E(f384(x11223,x11224,x11221,x11225,x11226),f384(x11223,x11224,x11222,x11225,x11226))
% 207.24/207.91 [1123]~E(x11231,x11232)+E(f384(x11233,x11234,x11235,x11231,x11236),f384(x11233,x11234,x11235,x11232,x11236))
% 207.24/207.91 [1124]~E(x11241,x11242)+E(f384(x11243,x11244,x11245,x11246,x11241),f384(x11243,x11244,x11245,x11246,x11242))
% 207.24/207.91 [1125]~E(x11251,x11252)+E(f226(x11251,x11253,x11254,x11255,x11256),f226(x11252,x11253,x11254,x11255,x11256))
% 207.24/207.91 [1126]~E(x11261,x11262)+E(f226(x11263,x11261,x11264,x11265,x11266),f226(x11263,x11262,x11264,x11265,x11266))
% 207.24/207.91 [1127]~E(x11271,x11272)+E(f226(x11273,x11274,x11271,x11275,x11276),f226(x11273,x11274,x11272,x11275,x11276))
% 207.24/207.91 [1128]~E(x11281,x11282)+E(f226(x11283,x11284,x11285,x11281,x11286),f226(x11283,x11284,x11285,x11282,x11286))
% 207.24/207.91 [1129]~E(x11291,x11292)+E(f226(x11293,x11294,x11295,x11296,x11291),f226(x11293,x11294,x11295,x11296,x11292))
% 207.24/207.91 [1130]~E(x11301,x11302)+E(f744(x11301,x11303),f744(x11302,x11303))
% 207.24/207.91 [1131]~E(x11311,x11312)+E(f744(x11313,x11311),f744(x11313,x11312))
% 207.24/207.91 [1132]~E(x11321,x11322)+E(f814(x11321,x11323),f814(x11322,x11323))
% 207.24/207.91 [1133]~E(x11331,x11332)+E(f814(x11333,x11331),f814(x11333,x11332))
% 207.24/207.91 [1134]~E(x11341,x11342)+E(f441(x11341,x11343),f441(x11342,x11343))
% 207.24/207.91 [1135]~E(x11351,x11352)+E(f441(x11353,x11351),f441(x11353,x11352))
% 207.24/207.91 [1136]~E(x11361,x11362)+E(f890(x11361,x11363),f890(x11362,x11363))
% 207.24/207.91 [1137]~E(x11371,x11372)+E(f890(x11373,x11371),f890(x11373,x11372))
% 207.24/207.91 [1138]~E(x11381,x11382)+E(f394(x11381,x11383,x11384),f394(x11382,x11383,x11384))
% 207.24/207.91 [1139]~E(x11391,x11392)+E(f394(x11393,x11391,x11394),f394(x11393,x11392,x11394))
% 207.24/207.91 [1140]~E(x11401,x11402)+E(f394(x11403,x11404,x11401),f394(x11403,x11404,x11402))
% 207.24/207.91 [1141]~E(x11411,x11412)+E(f902(x11411,x11413,x11414,x11415,x11416),f902(x11412,x11413,x11414,x11415,x11416))
% 207.24/207.91 [1142]~E(x11421,x11422)+E(f902(x11423,x11421,x11424,x11425,x11426),f902(x11423,x11422,x11424,x11425,x11426))
% 207.24/207.91 [1143]~E(x11431,x11432)+E(f902(x11433,x11434,x11431,x11435,x11436),f902(x11433,x11434,x11432,x11435,x11436))
% 207.24/207.91 [1144]~E(x11441,x11442)+E(f902(x11443,x11444,x11445,x11441,x11446),f902(x11443,x11444,x11445,x11442,x11446))
% 207.24/207.91 [1145]~E(x11451,x11452)+E(f902(x11453,x11454,x11455,x11456,x11451),f902(x11453,x11454,x11455,x11456,x11452))
% 207.24/207.91 [1146]~E(x11461,x11462)+E(f364(x11461,x11463,x11464),f364(x11462,x11463,x11464))
% 207.24/207.91 [1147]~E(x11471,x11472)+E(f364(x11473,x11471,x11474),f364(x11473,x11472,x11474))
% 207.24/207.91 [1148]~E(x11481,x11482)+E(f364(x11483,x11484,x11481),f364(x11483,x11484,x11482))
% 207.24/207.91 [1149]~E(x11491,x11492)+E(f456(x11491,x11493,x11494,x11495,x11496),f456(x11492,x11493,x11494,x11495,x11496))
% 207.24/207.91 [1150]~E(x11501,x11502)+E(f456(x11503,x11501,x11504,x11505,x11506),f456(x11503,x11502,x11504,x11505,x11506))
% 207.24/207.91 [1151]~E(x11511,x11512)+E(f456(x11513,x11514,x11511,x11515,x11516),f456(x11513,x11514,x11512,x11515,x11516))
% 207.24/207.91 [1152]~E(x11521,x11522)+E(f456(x11523,x11524,x11525,x11521,x11526),f456(x11523,x11524,x11525,x11522,x11526))
% 207.24/207.91 [1153]~E(x11531,x11532)+E(f456(x11533,x11534,x11535,x11536,x11531),f456(x11533,x11534,x11535,x11536,x11532))
% 207.24/207.91 [1154]~E(x11541,x11542)+E(f667(x11541,x11543),f667(x11542,x11543))
% 207.24/207.91 [1155]~E(x11551,x11552)+E(f667(x11553,x11551),f667(x11553,x11552))
% 207.24/207.91 [1156]~E(x11561,x11562)+E(f129(x11561,x11563),f129(x11562,x11563))
% 207.24/207.91 [1157]~E(x11571,x11572)+E(f129(x11573,x11571),f129(x11573,x11572))
% 207.24/207.91 [1158]~E(x11581,x11582)+E(f696(x11581,x11583,x11584,x11585,x11586),f696(x11582,x11583,x11584,x11585,x11586))
% 207.24/207.91 [1159]~E(x11591,x11592)+E(f696(x11593,x11591,x11594,x11595,x11596),f696(x11593,x11592,x11594,x11595,x11596))
% 207.24/207.91 [1160]~E(x11601,x11602)+E(f696(x11603,x11604,x11601,x11605,x11606),f696(x11603,x11604,x11602,x11605,x11606))
% 207.24/207.91 [1161]~E(x11611,x11612)+E(f696(x11613,x11614,x11615,x11611,x11616),f696(x11613,x11614,x11615,x11612,x11616))
% 207.24/207.91 [1162]~E(x11621,x11622)+E(f696(x11623,x11624,x11625,x11626,x11621),f696(x11623,x11624,x11625,x11626,x11622))
% 207.24/207.91 [1163]~E(x11631,x11632)+E(f543(x11631,x11633,x11634,x11635),f543(x11632,x11633,x11634,x11635))
% 207.24/207.91 [1164]~E(x11641,x11642)+E(f543(x11643,x11641,x11644,x11645),f543(x11643,x11642,x11644,x11645))
% 207.24/207.91 [1165]~E(x11651,x11652)+E(f543(x11653,x11654,x11651,x11655),f543(x11653,x11654,x11652,x11655))
% 207.24/207.91 [1166]~E(x11661,x11662)+E(f543(x11663,x11664,x11665,x11661),f543(x11663,x11664,x11665,x11662))
% 207.24/207.91 [1167]~E(x11671,x11672)+E(f805(x11671,x11673,x11674),f805(x11672,x11673,x11674))
% 207.24/207.91 [1168]~E(x11681,x11682)+E(f805(x11683,x11681,x11684),f805(x11683,x11682,x11684))
% 207.24/207.91 [1169]~E(x11691,x11692)+E(f805(x11693,x11694,x11691),f805(x11693,x11694,x11692))
% 207.24/207.91 [1170]~E(x11701,x11702)+E(f247(x11701,x11703,x11704),f247(x11702,x11703,x11704))
% 207.24/207.91 [1171]~E(x11711,x11712)+E(f247(x11713,x11711,x11714),f247(x11713,x11712,x11714))
% 207.24/207.91 [1172]~E(x11721,x11722)+E(f247(x11723,x11724,x11721),f247(x11723,x11724,x11722))
% 207.24/207.91 [1173]~E(x11731,x11732)+E(f598(x11731,x11733,x11734,x11735,x11736),f598(x11732,x11733,x11734,x11735,x11736))
% 207.24/207.91 [1174]~E(x11741,x11742)+E(f598(x11743,x11741,x11744,x11745,x11746),f598(x11743,x11742,x11744,x11745,x11746))
% 207.24/207.91 [1175]~E(x11751,x11752)+E(f598(x11753,x11754,x11751,x11755,x11756),f598(x11753,x11754,x11752,x11755,x11756))
% 207.24/207.91 [1176]~E(x11761,x11762)+E(f598(x11763,x11764,x11765,x11761,x11766),f598(x11763,x11764,x11765,x11762,x11766))
% 207.24/207.91 [1177]~E(x11771,x11772)+E(f598(x11773,x11774,x11775,x11776,x11771),f598(x11773,x11774,x11775,x11776,x11772))
% 207.24/207.91 [1178]~E(x11781,x11782)+E(f365(x11781,x11783,x11784),f365(x11782,x11783,x11784))
% 207.24/207.91 [1179]~E(x11791,x11792)+E(f365(x11793,x11791,x11794),f365(x11793,x11792,x11794))
% 207.24/207.91 [1180]~E(x11801,x11802)+E(f365(x11803,x11804,x11801),f365(x11803,x11804,x11802))
% 207.24/207.91 [1181]~E(x11811,x11812)+E(f461(x11811,x11813,x11814),f461(x11812,x11813,x11814))
% 207.24/207.91 [1182]~E(x11821,x11822)+E(f461(x11823,x11821,x11824),f461(x11823,x11822,x11824))
% 207.24/207.91 [1183]~E(x11831,x11832)+E(f461(x11833,x11834,x11831),f461(x11833,x11834,x11832))
% 207.24/207.91 [1184]~E(x11841,x11842)+E(f730(x11841,x11843,x11844,x11845),f730(x11842,x11843,x11844,x11845))
% 207.24/207.91 [1185]~E(x11851,x11852)+E(f730(x11853,x11851,x11854,x11855),f730(x11853,x11852,x11854,x11855))
% 207.24/207.91 [1186]~E(x11861,x11862)+E(f730(x11863,x11864,x11861,x11865),f730(x11863,x11864,x11862,x11865))
% 207.24/207.91 [1187]~E(x11871,x11872)+E(f730(x11873,x11874,x11875,x11871),f730(x11873,x11874,x11875,x11872))
% 207.24/207.91 [1188]~E(x11881,x11882)+E(f647(x11881,x11883,x11884,x11885,x11886),f647(x11882,x11883,x11884,x11885,x11886))
% 207.24/207.91 [1189]~E(x11891,x11892)+E(f647(x11893,x11891,x11894,x11895,x11896),f647(x11893,x11892,x11894,x11895,x11896))
% 207.24/207.91 [1190]~E(x11901,x11902)+E(f647(x11903,x11904,x11901,x11905,x11906),f647(x11903,x11904,x11902,x11905,x11906))
% 207.24/207.91 [1191]~E(x11911,x11912)+E(f647(x11913,x11914,x11915,x11911,x11916),f647(x11913,x11914,x11915,x11912,x11916))
% 207.24/207.91 [1192]~E(x11921,x11922)+E(f647(x11923,x11924,x11925,x11926,x11921),f647(x11923,x11924,x11925,x11926,x11922))
% 207.24/207.91 [1193]~E(x11931,x11932)+E(f390(x11931,x11933),f390(x11932,x11933))
% 207.24/207.91 [1194]~E(x11941,x11942)+E(f390(x11943,x11941),f390(x11943,x11942))
% 207.24/207.91 [1195]~E(x11951,x11952)+E(f560(x11951,x11953,x11954),f560(x11952,x11953,x11954))
% 207.24/207.91 [1196]~E(x11961,x11962)+E(f560(x11963,x11961,x11964),f560(x11963,x11962,x11964))
% 207.24/207.91 [1197]~E(x11971,x11972)+E(f560(x11973,x11974,x11971),f560(x11973,x11974,x11972))
% 207.24/207.91 [1198]~E(x11981,x11982)+E(f652(x11981,x11983,x11984,x11985),f652(x11982,x11983,x11984,x11985))
% 207.24/207.91 [1199]~E(x11991,x11992)+E(f652(x11993,x11991,x11994,x11995),f652(x11993,x11992,x11994,x11995))
% 207.24/207.91 [1200]~E(x12001,x12002)+E(f652(x12003,x12004,x12001,x12005),f652(x12003,x12004,x12002,x12005))
% 207.24/207.91 [1201]~E(x12011,x12012)+E(f652(x12013,x12014,x12015,x12011),f652(x12013,x12014,x12015,x12012))
% 207.24/207.91 [1202]~E(x12021,x12022)+E(f668(x12021,x12023,x12024),f668(x12022,x12023,x12024))
% 207.24/207.91 [1203]~E(x12031,x12032)+E(f668(x12033,x12031,x12034),f668(x12033,x12032,x12034))
% 207.24/207.91 [1204]~E(x12041,x12042)+E(f668(x12043,x12044,x12041),f668(x12043,x12044,x12042))
% 207.24/207.91 [1205]~E(x12051,x12052)+E(f201(x12051,x12053),f201(x12052,x12053))
% 207.24/207.91 [1206]~E(x12061,x12062)+E(f201(x12063,x12061),f201(x12063,x12062))
% 207.24/207.91 [1207]~E(x12071,x12072)+E(f198(x12071,x12073,x12074,x12075),f198(x12072,x12073,x12074,x12075))
% 207.24/207.91 [1208]~E(x12081,x12082)+E(f198(x12083,x12081,x12084,x12085),f198(x12083,x12082,x12084,x12085))
% 207.24/207.91 [1209]~E(x12091,x12092)+E(f198(x12093,x12094,x12091,x12095),f198(x12093,x12094,x12092,x12095))
% 207.24/207.91 [1210]~E(x12101,x12102)+E(f198(x12103,x12104,x12105,x12101),f198(x12103,x12104,x12105,x12102))
% 207.24/207.91 [1211]~E(x12111,x12112)+E(f130(x12111),f130(x12112))
% 207.24/207.91 [1212]~E(x12121,x12122)+E(f255(x12121,x12123,x12124,x12125),f255(x12122,x12123,x12124,x12125))
% 207.24/207.91 [1213]~E(x12131,x12132)+E(f255(x12133,x12131,x12134,x12135),f255(x12133,x12132,x12134,x12135))
% 207.24/207.91 [1214]~E(x12141,x12142)+E(f255(x12143,x12144,x12141,x12145),f255(x12143,x12144,x12142,x12145))
% 207.24/207.91 [1215]~E(x12151,x12152)+E(f255(x12153,x12154,x12155,x12151),f255(x12153,x12154,x12155,x12152))
% 207.24/207.91 [1216]~E(x12161,x12162)+E(f270(x12161,x12163),f270(x12162,x12163))
% 207.24/207.91 [1217]~E(x12171,x12172)+E(f270(x12173,x12171),f270(x12173,x12172))
% 207.24/207.91 [1218]~E(x12181,x12182)+E(f117(x12181,x12183,x12184),f117(x12182,x12183,x12184))
% 207.24/207.91 [1219]~E(x12191,x12192)+E(f117(x12193,x12191,x12194),f117(x12193,x12192,x12194))
% 207.24/207.91 [1220]~E(x12201,x12202)+E(f117(x12203,x12204,x12201),f117(x12203,x12204,x12202))
% 207.24/207.91 [1221]~E(x12211,x12212)+E(f185(x12211,x12213,x12214),f185(x12212,x12213,x12214))
% 207.24/207.91 [1222]~E(x12221,x12222)+E(f185(x12223,x12221,x12224),f185(x12223,x12222,x12224))
% 207.24/207.91 [1223]~E(x12231,x12232)+E(f185(x12233,x12234,x12231),f185(x12233,x12234,x12232))
% 207.24/207.91 [1224]~E(x12241,x12242)+E(f93(x12241,x12243,x12244),f93(x12242,x12243,x12244))
% 207.24/207.91 [1225]~E(x12251,x12252)+E(f93(x12253,x12251,x12254),f93(x12253,x12252,x12254))
% 207.24/207.91 [1226]~E(x12261,x12262)+E(f93(x12263,x12264,x12261),f93(x12263,x12264,x12262))
% 207.24/207.91 [1227]~E(x12271,x12272)+E(f236(x12271,x12273),f236(x12272,x12273))
% 207.24/207.91 [1228]~E(x12281,x12282)+E(f236(x12283,x12281),f236(x12283,x12282))
% 207.24/207.91 [1229]~E(x12291,x12292)+E(f695(x12291,x12293,x12294,x12295,x12296),f695(x12292,x12293,x12294,x12295,x12296))
% 207.24/207.91 [1230]~E(x12301,x12302)+E(f695(x12303,x12301,x12304,x12305,x12306),f695(x12303,x12302,x12304,x12305,x12306))
% 207.24/207.91 [1231]~E(x12311,x12312)+E(f695(x12313,x12314,x12311,x12315,x12316),f695(x12313,x12314,x12312,x12315,x12316))
% 207.24/207.91 [1232]~E(x12321,x12322)+E(f695(x12323,x12324,x12325,x12321,x12326),f695(x12323,x12324,x12325,x12322,x12326))
% 207.24/207.91 [1233]~E(x12331,x12332)+E(f695(x12333,x12334,x12335,x12336,x12331),f695(x12333,x12334,x12335,x12336,x12332))
% 207.24/207.91 [1234]~E(x12341,x12342)+E(f462(x12341,x12343,x12344),f462(x12342,x12343,x12344))
% 207.24/207.91 [1235]~E(x12351,x12352)+E(f462(x12353,x12351,x12354),f462(x12353,x12352,x12354))
% 207.24/207.91 [1236]~E(x12361,x12362)+E(f462(x12363,x12364,x12361),f462(x12363,x12364,x12362))
% 207.24/207.91 [1237]~E(x12371,x12372)+E(f371(x12371,x12373,x12374,x12375,x12376,x12377),f371(x12372,x12373,x12374,x12375,x12376,x12377))
% 207.24/207.91 [1238]~E(x12381,x12382)+E(f371(x12383,x12381,x12384,x12385,x12386,x12387),f371(x12383,x12382,x12384,x12385,x12386,x12387))
% 207.24/207.91 [1239]~E(x12391,x12392)+E(f371(x12393,x12394,x12391,x12395,x12396,x12397),f371(x12393,x12394,x12392,x12395,x12396,x12397))
% 207.24/207.91 [1240]~E(x12401,x12402)+E(f371(x12403,x12404,x12405,x12401,x12406,x12407),f371(x12403,x12404,x12405,x12402,x12406,x12407))
% 207.24/207.91 [1241]~E(x12411,x12412)+E(f371(x12413,x12414,x12415,x12416,x12411,x12417),f371(x12413,x12414,x12415,x12416,x12412,x12417))
% 207.24/207.91 [1242]~E(x12421,x12422)+E(f371(x12423,x12424,x12425,x12426,x12427,x12421),f371(x12423,x12424,x12425,x12426,x12427,x12422))
% 207.24/207.91 [1243]~E(x12431,x12432)+E(f632(x12431,x12433,x12434),f632(x12432,x12433,x12434))
% 207.24/207.91 [1244]~E(x12441,x12442)+E(f632(x12443,x12441,x12444),f632(x12443,x12442,x12444))
% 207.24/207.91 [1245]~E(x12451,x12452)+E(f632(x12453,x12454,x12451),f632(x12453,x12454,x12452))
% 207.24/207.91 [1246]~E(x12461,x12462)+E(f396(x12461,x12463,x12464,x12465),f396(x12462,x12463,x12464,x12465))
% 207.24/207.91 [1247]~E(x12471,x12472)+E(f396(x12473,x12471,x12474,x12475),f396(x12473,x12472,x12474,x12475))
% 207.24/207.91 [1248]~E(x12481,x12482)+E(f396(x12483,x12484,x12481,x12485),f396(x12483,x12484,x12482,x12485))
% 207.24/207.91 [1249]~E(x12491,x12492)+E(f396(x12493,x12494,x12495,x12491),f396(x12493,x12494,x12495,x12492))
% 207.24/207.91 [1250]~E(x12501,x12502)+E(f552(x12501,x12503,x12504,x12505),f552(x12502,x12503,x12504,x12505))
% 207.24/207.91 [1251]~E(x12511,x12512)+E(f552(x12513,x12511,x12514,x12515),f552(x12513,x12512,x12514,x12515))
% 207.24/207.91 [1252]~E(x12521,x12522)+E(f552(x12523,x12524,x12521,x12525),f552(x12523,x12524,x12522,x12525))
% 207.24/207.91 [1253]~E(x12531,x12532)+E(f552(x12533,x12534,x12535,x12531),f552(x12533,x12534,x12535,x12532))
% 207.24/207.91 [1254]~E(x12541,x12542)+E(f674(x12541,x12543,x12544,x12545),f674(x12542,x12543,x12544,x12545))
% 207.24/207.91 [1255]~E(x12551,x12552)+E(f674(x12553,x12551,x12554,x12555),f674(x12553,x12552,x12554,x12555))
% 207.24/207.91 [1256]~E(x12561,x12562)+E(f674(x12563,x12564,x12561,x12565),f674(x12563,x12564,x12562,x12565))
% 207.24/207.91 [1257]~E(x12571,x12572)+E(f674(x12573,x12574,x12575,x12571),f674(x12573,x12574,x12575,x12572))
% 207.24/207.91 [1258]~E(x12581,x12582)+E(f174(x12581,x12583,x12584),f174(x12582,x12583,x12584))
% 207.24/207.91 [1259]~E(x12591,x12592)+E(f174(x12593,x12591,x12594),f174(x12593,x12592,x12594))
% 207.24/207.91 [1260]~E(x12601,x12602)+E(f174(x12603,x12604,x12601),f174(x12603,x12604,x12602))
% 207.24/207.91 [1261]~E(x12611,x12612)+E(f651(x12611,x12613,x12614,x12615),f651(x12612,x12613,x12614,x12615))
% 207.24/207.91 [1262]~E(x12621,x12622)+E(f651(x12623,x12621,x12624,x12625),f651(x12623,x12622,x12624,x12625))
% 207.24/207.91 [1263]~E(x12631,x12632)+E(f651(x12633,x12634,x12631,x12635),f651(x12633,x12634,x12632,x12635))
% 207.24/207.91 [1264]~E(x12641,x12642)+E(f651(x12643,x12644,x12645,x12641),f651(x12643,x12644,x12645,x12642))
% 207.24/207.91 [1265]~E(x12651,x12652)+E(f442(x12651,x12653),f442(x12652,x12653))
% 207.24/207.91 [1266]~E(x12661,x12662)+E(f442(x12663,x12661),f442(x12663,x12662))
% 207.24/207.91 [1267]~E(x12671,x12672)+E(f68(x12671,x12673,x12674),f68(x12672,x12673,x12674))
% 207.24/207.91 [1268]~E(x12681,x12682)+E(f68(x12683,x12681,x12684),f68(x12683,x12682,x12684))
% 207.24/207.91 [1269]~E(x12691,x12692)+E(f68(x12693,x12694,x12691),f68(x12693,x12694,x12692))
% 207.24/207.91 [1270]~E(x12701,x12702)+E(f205(x12701,x12703,x12704),f205(x12702,x12703,x12704))
% 207.24/207.91 [1271]~E(x12711,x12712)+E(f205(x12713,x12711,x12714),f205(x12713,x12712,x12714))
% 207.24/207.91 [1272]~E(x12721,x12722)+E(f205(x12723,x12724,x12721),f205(x12723,x12724,x12722))
% 207.24/207.91 [1273]~E(x12731,x12732)+E(f56(x12731,x12733,x12734),f56(x12732,x12733,x12734))
% 207.24/207.91 [1274]~E(x12741,x12742)+E(f56(x12743,x12741,x12744),f56(x12743,x12742,x12744))
% 207.24/207.91 [1275]~E(x12751,x12752)+E(f56(x12753,x12754,x12751),f56(x12753,x12754,x12752))
% 207.24/207.91 [1276]~E(x12761,x12762)+E(f464(x12761,x12763,x12764),f464(x12762,x12763,x12764))
% 207.24/207.91 [1277]~E(x12771,x12772)+E(f464(x12773,x12771,x12774),f464(x12773,x12772,x12774))
% 207.24/207.91 [1278]~E(x12781,x12782)+E(f464(x12783,x12784,x12781),f464(x12783,x12784,x12782))
% 207.24/207.91 [1279]~E(x12791,x12792)+E(f132(x12791,x12793,x12794,x12795),f132(x12792,x12793,x12794,x12795))
% 207.24/207.91 [1280]~E(x12801,x12802)+E(f132(x12803,x12801,x12804,x12805),f132(x12803,x12802,x12804,x12805))
% 207.24/207.91 [1281]~E(x12811,x12812)+E(f132(x12813,x12814,x12811,x12815),f132(x12813,x12814,x12812,x12815))
% 207.24/207.91 [1282]~E(x12821,x12822)+E(f132(x12823,x12824,x12825,x12821),f132(x12823,x12824,x12825,x12822))
% 207.24/207.91 [1283]~E(x12831,x12832)+E(f802(x12831),f802(x12832))
% 207.24/207.91 [1284]~E(x12841,x12842)+E(f486(x12841),f486(x12842))
% 207.24/207.91 [1285]~E(x12851,x12852)+E(f888(x12851,x12853,x12854),f888(x12852,x12853,x12854))
% 207.24/207.91 [1286]~E(x12861,x12862)+E(f888(x12863,x12861,x12864),f888(x12863,x12862,x12864))
% 207.24/207.91 [1287]~E(x12871,x12872)+E(f888(x12873,x12874,x12871),f888(x12873,x12874,x12872))
% 207.24/207.91 [1288]~E(x12881,x12882)+E(f567(x12881),f567(x12882))
% 207.24/207.91 [1289]~E(x12891,x12892)+E(f590(x12891,x12893,x12894,x12895,x12896,x12897),f590(x12892,x12893,x12894,x12895,x12896,x12897))
% 207.24/207.91 [1290]~E(x12901,x12902)+E(f590(x12903,x12901,x12904,x12905,x12906,x12907),f590(x12903,x12902,x12904,x12905,x12906,x12907))
% 207.24/207.91 [1291]~E(x12911,x12912)+E(f590(x12913,x12914,x12911,x12915,x12916,x12917),f590(x12913,x12914,x12912,x12915,x12916,x12917))
% 207.24/207.91 [1292]~E(x12921,x12922)+E(f590(x12923,x12924,x12925,x12921,x12926,x12927),f590(x12923,x12924,x12925,x12922,x12926,x12927))
% 207.24/207.91 [1293]~E(x12931,x12932)+E(f590(x12933,x12934,x12935,x12936,x12931,x12937),f590(x12933,x12934,x12935,x12936,x12932,x12937))
% 207.24/207.91 [1294]~E(x12941,x12942)+E(f590(x12943,x12944,x12945,x12946,x12947,x12941),f590(x12943,x12944,x12945,x12946,x12947,x12942))
% 207.24/207.91 [1295]~E(x12951,x12952)+E(f125(x12951),f125(x12952))
% 207.24/207.91 [1296]~E(x12961,x12962)+E(f373(x12961,x12963,x12964),f373(x12962,x12963,x12964))
% 207.24/207.91 [1297]~E(x12971,x12972)+E(f373(x12973,x12971,x12974),f373(x12973,x12972,x12974))
% 207.24/207.91 [1298]~E(x12981,x12982)+E(f373(x12983,x12984,x12981),f373(x12983,x12984,x12982))
% 207.24/207.91 [1299]~E(x12991,x12992)+E(f756(x12991,x12993,x12994),f756(x12992,x12993,x12994))
% 207.24/207.91 [1300]~E(x13001,x13002)+E(f756(x13003,x13001,x13004),f756(x13003,x13002,x13004))
% 207.24/207.91 [1301]~E(x13011,x13012)+E(f756(x13013,x13014,x13011),f756(x13013,x13014,x13012))
% 207.24/207.91 [1302]~E(x13021,x13022)+E(f586(x13021,x13023,x13024),f586(x13022,x13023,x13024))
% 207.24/207.91 [1303]~E(x13031,x13032)+E(f586(x13033,x13031,x13034),f586(x13033,x13032,x13034))
% 207.24/207.91 [1304]~E(x13041,x13042)+E(f586(x13043,x13044,x13041),f586(x13043,x13044,x13042))
% 207.24/207.91 [1305]~E(x13051,x13052)+E(f21(x13051,x13053),f21(x13052,x13053))
% 207.24/207.91 [1306]~E(x13061,x13062)+E(f21(x13063,x13061),f21(x13063,x13062))
% 207.24/207.91 [1307]~E(x13071,x13072)+E(f321(x13071,x13073,x13074),f321(x13072,x13073,x13074))
% 207.24/207.91 [1308]~E(x13081,x13082)+E(f321(x13083,x13081,x13084),f321(x13083,x13082,x13084))
% 207.24/207.91 [1309]~E(x13091,x13092)+E(f321(x13093,x13094,x13091),f321(x13093,x13094,x13092))
% 207.24/207.91 [1310]~E(x13101,x13102)+E(f629(x13101,x13103,x13104),f629(x13102,x13103,x13104))
% 207.24/207.91 [1311]~E(x13111,x13112)+E(f629(x13113,x13111,x13114),f629(x13113,x13112,x13114))
% 207.24/207.91 [1312]~E(x13121,x13122)+E(f629(x13123,x13124,x13121),f629(x13123,x13124,x13122))
% 207.24/207.91 [1313]~E(x13131,x13132)+E(f754(x13131,x13133,x13134),f754(x13132,x13133,x13134))
% 207.24/207.91 [1314]~E(x13141,x13142)+E(f754(x13143,x13141,x13144),f754(x13143,x13142,x13144))
% 207.24/207.91 [1315]~E(x13151,x13152)+E(f754(x13153,x13154,x13151),f754(x13153,x13154,x13152))
% 207.24/207.91 [1316]~E(x13161,x13162)+E(f752(x13161,x13163,x13164),f752(x13162,x13163,x13164))
% 207.24/207.91 [1317]~E(x13171,x13172)+E(f752(x13173,x13171,x13174),f752(x13173,x13172,x13174))
% 207.24/207.91 [1318]~E(x13181,x13182)+E(f752(x13183,x13184,x13181),f752(x13183,x13184,x13182))
% 207.24/207.91 [1319]~E(x13191,x13192)+E(f468(x13191,x13193,x13194,x13195,x13196),f468(x13192,x13193,x13194,x13195,x13196))
% 207.24/207.91 [1320]~E(x13201,x13202)+E(f468(x13203,x13201,x13204,x13205,x13206),f468(x13203,x13202,x13204,x13205,x13206))
% 207.24/207.91 [1321]~E(x13211,x13212)+E(f468(x13213,x13214,x13211,x13215,x13216),f468(x13213,x13214,x13212,x13215,x13216))
% 207.24/207.91 [1322]~E(x13221,x13222)+E(f468(x13223,x13224,x13225,x13221,x13226),f468(x13223,x13224,x13225,x13222,x13226))
% 207.24/207.91 [1323]~E(x13231,x13232)+E(f468(x13233,x13234,x13235,x13236,x13231),f468(x13233,x13234,x13235,x13236,x13232))
% 207.24/207.91 [1324]~E(x13241,x13242)+E(f834(x13241,x13243,x13244,x13245,x13246,x13247),f834(x13242,x13243,x13244,x13245,x13246,x13247))
% 207.24/207.91 [1325]~E(x13251,x13252)+E(f834(x13253,x13251,x13254,x13255,x13256,x13257),f834(x13253,x13252,x13254,x13255,x13256,x13257))
% 207.24/207.91 [1326]~E(x13261,x13262)+E(f834(x13263,x13264,x13261,x13265,x13266,x13267),f834(x13263,x13264,x13262,x13265,x13266,x13267))
% 207.24/207.91 [1327]~E(x13271,x13272)+E(f834(x13273,x13274,x13275,x13271,x13276,x13277),f834(x13273,x13274,x13275,x13272,x13276,x13277))
% 207.24/207.91 [1328]~E(x13281,x13282)+E(f834(x13283,x13284,x13285,x13286,x13281,x13287),f834(x13283,x13284,x13285,x13286,x13282,x13287))
% 207.24/207.91 [1329]~E(x13291,x13292)+E(f834(x13293,x13294,x13295,x13296,x13297,x13291),f834(x13293,x13294,x13295,x13296,x13297,x13292))
% 207.24/207.91 [1330]~E(x13301,x13302)+E(f331(x13301,x13303,x13304,x13305),f331(x13302,x13303,x13304,x13305))
% 207.24/207.91 [1331]~E(x13311,x13312)+E(f331(x13313,x13311,x13314,x13315),f331(x13313,x13312,x13314,x13315))
% 207.24/207.91 [1332]~E(x13321,x13322)+E(f331(x13323,x13324,x13321,x13325),f331(x13323,x13324,x13322,x13325))
% 207.24/207.91 [1333]~E(x13331,x13332)+E(f331(x13333,x13334,x13335,x13331),f331(x13333,x13334,x13335,x13332))
% 207.24/207.91 [1334]~E(x13341,x13342)+E(f747(x13341,x13343,x13344),f747(x13342,x13343,x13344))
% 207.24/207.91 [1335]~E(x13351,x13352)+E(f747(x13353,x13351,x13354),f747(x13353,x13352,x13354))
% 207.24/207.91 [1336]~E(x13361,x13362)+E(f747(x13363,x13364,x13361),f747(x13363,x13364,x13362))
% 207.24/207.91 [1337]~E(x13371,x13372)+E(f403(x13371,x13373),f403(x13372,x13373))
% 207.24/207.91 [1338]~E(x13381,x13382)+E(f403(x13383,x13381),f403(x13383,x13382))
% 207.24/207.91 [1339]~E(x13391,x13392)+E(f213(x13391,x13393,x13394,x13395,x13396,x13397,x13398),f213(x13392,x13393,x13394,x13395,x13396,x13397,x13398))
% 207.24/207.91 [1340]~E(x13401,x13402)+E(f213(x13403,x13401,x13404,x13405,x13406,x13407,x13408),f213(x13403,x13402,x13404,x13405,x13406,x13407,x13408))
% 207.24/207.91 [1341]~E(x13411,x13412)+E(f213(x13413,x13414,x13411,x13415,x13416,x13417,x13418),f213(x13413,x13414,x13412,x13415,x13416,x13417,x13418))
% 207.24/207.91 [1342]~E(x13421,x13422)+E(f213(x13423,x13424,x13425,x13421,x13426,x13427,x13428),f213(x13423,x13424,x13425,x13422,x13426,x13427,x13428))
% 207.24/207.91 [1343]~E(x13431,x13432)+E(f213(x13433,x13434,x13435,x13436,x13431,x13437,x13438),f213(x13433,x13434,x13435,x13436,x13432,x13437,x13438))
% 207.24/207.91 [1344]~E(x13441,x13442)+E(f213(x13443,x13444,x13445,x13446,x13447,x13441,x13448),f213(x13443,x13444,x13445,x13446,x13447,x13442,x13448))
% 207.24/207.91 [1345]~E(x13451,x13452)+E(f213(x13453,x13454,x13455,x13456,x13457,x13458,x13451),f213(x13453,x13454,x13455,x13456,x13457,x13458,x13452))
% 207.24/207.91 [1346]~E(x13461,x13462)+E(f815(x13461,x13463,x13464),f815(x13462,x13463,x13464))
% 207.24/207.91 [1347]~E(x13471,x13472)+E(f815(x13473,x13471,x13474),f815(x13473,x13472,x13474))
% 207.24/207.91 [1348]~E(x13481,x13482)+E(f815(x13483,x13484,x13481),f815(x13483,x13484,x13482))
% 207.24/207.91 [1349]~E(x13491,x13492)+E(f829(x13491,x13493,x13494),f829(x13492,x13493,x13494))
% 207.24/207.91 [1350]~E(x13501,x13502)+E(f829(x13503,x13501,x13504),f829(x13503,x13502,x13504))
% 207.24/207.91 [1351]~E(x13511,x13512)+E(f829(x13513,x13514,x13511),f829(x13513,x13514,x13512))
% 207.24/207.91 [1352]~E(x13521,x13522)+E(f346(x13521,x13523,x13524,x13525,x13526),f346(x13522,x13523,x13524,x13525,x13526))
% 207.24/207.91 [1353]~E(x13531,x13532)+E(f346(x13533,x13531,x13534,x13535,x13536),f346(x13533,x13532,x13534,x13535,x13536))
% 207.24/207.91 [1354]~E(x13541,x13542)+E(f346(x13543,x13544,x13541,x13545,x13546),f346(x13543,x13544,x13542,x13545,x13546))
% 207.24/207.91 [1355]~E(x13551,x13552)+E(f346(x13553,x13554,x13555,x13551,x13556),f346(x13553,x13554,x13555,x13552,x13556))
% 207.24/207.91 [1356]~E(x13561,x13562)+E(f346(x13563,x13564,x13565,x13566,x13561),f346(x13563,x13564,x13565,x13566,x13562))
% 207.24/207.91 [1357]~E(x13571,x13572)+E(f670(x13571,x13573,x13574),f670(x13572,x13573,x13574))
% 207.24/207.91 [1358]~E(x13581,x13582)+E(f670(x13583,x13581,x13584),f670(x13583,x13582,x13584))
% 207.24/207.91 [1359]~E(x13591,x13592)+E(f670(x13593,x13594,x13591),f670(x13593,x13594,x13592))
% 207.24/207.91 [1360]~E(x13601,x13602)+E(f642(x13601,x13603,x13604,x13605),f642(x13602,x13603,x13604,x13605))
% 207.24/207.91 [1361]~E(x13611,x13612)+E(f642(x13613,x13611,x13614,x13615),f642(x13613,x13612,x13614,x13615))
% 207.24/207.91 [1362]~E(x13621,x13622)+E(f642(x13623,x13624,x13621,x13625),f642(x13623,x13624,x13622,x13625))
% 207.24/207.91 [1363]~E(x13631,x13632)+E(f642(x13633,x13634,x13635,x13631),f642(x13633,x13634,x13635,x13632))
% 207.24/207.91 [1364]~E(x13641,x13642)+E(f810(x13641,x13643,x13644,x13645,x13646,x13647),f810(x13642,x13643,x13644,x13645,x13646,x13647))
% 207.24/207.91 [1365]~E(x13651,x13652)+E(f810(x13653,x13651,x13654,x13655,x13656,x13657),f810(x13653,x13652,x13654,x13655,x13656,x13657))
% 207.24/207.91 [1366]~E(x13661,x13662)+E(f810(x13663,x13664,x13661,x13665,x13666,x13667),f810(x13663,x13664,x13662,x13665,x13666,x13667))
% 207.24/207.91 [1367]~E(x13671,x13672)+E(f810(x13673,x13674,x13675,x13671,x13676,x13677),f810(x13673,x13674,x13675,x13672,x13676,x13677))
% 207.24/207.91 [1368]~E(x13681,x13682)+E(f810(x13683,x13684,x13685,x13686,x13681,x13687),f810(x13683,x13684,x13685,x13686,x13682,x13687))
% 207.24/207.91 [1369]~E(x13691,x13692)+E(f810(x13693,x13694,x13695,x13696,x13697,x13691),f810(x13693,x13694,x13695,x13696,x13697,x13692))
% 207.24/207.91 [1370]~E(x13701,x13702)+E(f217(x13701,x13703),f217(x13702,x13703))
% 207.24/207.91 [1371]~E(x13711,x13712)+E(f217(x13713,x13711),f217(x13713,x13712))
% 207.24/207.91 [1372]~E(x13721,x13722)+E(f398(x13721,x13723,x13724,x13725),f398(x13722,x13723,x13724,x13725))
% 207.24/207.91 [1373]~E(x13731,x13732)+E(f398(x13733,x13731,x13734,x13735),f398(x13733,x13732,x13734,x13735))
% 207.24/207.91 [1374]~E(x13741,x13742)+E(f398(x13743,x13744,x13741,x13745),f398(x13743,x13744,x13742,x13745))
% 207.24/207.91 [1375]~E(x13751,x13752)+E(f398(x13753,x13754,x13755,x13751),f398(x13753,x13754,x13755,x13752))
% 207.24/207.91 [1376]~E(x13761,x13762)+E(f710(x13761,x13763,x13764),f710(x13762,x13763,x13764))
% 207.24/207.91 [1377]~E(x13771,x13772)+E(f710(x13773,x13771,x13774),f710(x13773,x13772,x13774))
% 207.24/207.91 [1378]~E(x13781,x13782)+E(f710(x13783,x13784,x13781),f710(x13783,x13784,x13782))
% 207.24/207.91 [1379]~E(x13791,x13792)+E(f440(x13791,x13793,x13794,x13795),f440(x13792,x13793,x13794,x13795))
% 207.24/207.91 [1380]~E(x13801,x13802)+E(f440(x13803,x13801,x13804,x13805),f440(x13803,x13802,x13804,x13805))
% 207.24/207.91 [1381]~E(x13811,x13812)+E(f440(x13813,x13814,x13811,x13815),f440(x13813,x13814,x13812,x13815))
% 207.24/207.91 [1382]~E(x13821,x13822)+E(f440(x13823,x13824,x13825,x13821),f440(x13823,x13824,x13825,x13822))
% 207.24/207.91 [1383]~E(x13831,x13832)+E(f544(x13831,x13833,x13834,x13835),f544(x13832,x13833,x13834,x13835))
% 207.24/207.91 [1384]~E(x13841,x13842)+E(f544(x13843,x13841,x13844,x13845),f544(x13843,x13842,x13844,x13845))
% 207.24/207.91 [1385]~E(x13851,x13852)+E(f544(x13853,x13854,x13851,x13855),f544(x13853,x13854,x13852,x13855))
% 207.24/207.91 [1386]~E(x13861,x13862)+E(f544(x13863,x13864,x13865,x13861),f544(x13863,x13864,x13865,x13862))
% 207.24/207.91 [1387]~E(x13871,x13872)+E(f260(x13871,x13873,x13874,x13875,x13876),f260(x13872,x13873,x13874,x13875,x13876))
% 207.24/207.91 [1388]~E(x13881,x13882)+E(f260(x13883,x13881,x13884,x13885,x13886),f260(x13883,x13882,x13884,x13885,x13886))
% 207.24/207.91 [1389]~E(x13891,x13892)+E(f260(x13893,x13894,x13891,x13895,x13896),f260(x13893,x13894,x13892,x13895,x13896))
% 207.24/207.91 [1390]~E(x13901,x13902)+E(f260(x13903,x13904,x13905,x13901,x13906),f260(x13903,x13904,x13905,x13902,x13906))
% 207.24/207.91 [1391]~E(x13911,x13912)+E(f260(x13913,x13914,x13915,x13916,x13911),f260(x13913,x13914,x13915,x13916,x13912))
% 207.24/207.91 [1392]~E(x13921,x13922)+E(f416(x13921,x13923),f416(x13922,x13923))
% 207.24/207.91 [1393]~E(x13931,x13932)+E(f416(x13933,x13931),f416(x13933,x13932))
% 207.24/207.91 [1394]~E(x13941,x13942)+E(f881(x13941,x13943,x13944,x13945,x13946),f881(x13942,x13943,x13944,x13945,x13946))
% 207.24/207.91 [1395]~E(x13951,x13952)+E(f881(x13953,x13951,x13954,x13955,x13956),f881(x13953,x13952,x13954,x13955,x13956))
% 207.24/207.91 [1396]~E(x13961,x13962)+E(f881(x13963,x13964,x13961,x13965,x13966),f881(x13963,x13964,x13962,x13965,x13966))
% 207.24/207.91 [1397]~E(x13971,x13972)+E(f881(x13973,x13974,x13975,x13971,x13976),f881(x13973,x13974,x13975,x13972,x13976))
% 207.24/207.91 [1398]~E(x13981,x13982)+E(f881(x13983,x13984,x13985,x13986,x13981),f881(x13983,x13984,x13985,x13986,x13982))
% 207.24/207.91 [1399]~E(x13991,x13992)+E(f60(x13991,x13993,x13994,x13995),f60(x13992,x13993,x13994,x13995))
% 207.24/207.91 [1400]~E(x14001,x14002)+E(f60(x14003,x14001,x14004,x14005),f60(x14003,x14002,x14004,x14005))
% 207.24/207.91 [1401]~E(x14011,x14012)+E(f60(x14013,x14014,x14011,x14015),f60(x14013,x14014,x14012,x14015))
% 207.24/207.91 [1402]~E(x14021,x14022)+E(f60(x14023,x14024,x14025,x14021),f60(x14023,x14024,x14025,x14022))
% 207.24/207.91 [1403]~E(x14031,x14032)+E(f378(x14031),f378(x14032))
% 207.24/207.91 [1404]~E(x14041,x14042)+E(f694(x14041,x14043,x14044,x14045),f694(x14042,x14043,x14044,x14045))
% 207.24/207.91 [1405]~E(x14051,x14052)+E(f694(x14053,x14051,x14054,x14055),f694(x14053,x14052,x14054,x14055))
% 207.24/207.91 [1406]~E(x14061,x14062)+E(f694(x14063,x14064,x14061,x14065),f694(x14063,x14064,x14062,x14065))
% 207.24/207.91 [1407]~E(x14071,x14072)+E(f694(x14073,x14074,x14075,x14071),f694(x14073,x14074,x14075,x14072))
% 207.24/207.91 [1408]~E(x14081,x14082)+E(f279(x14081,x14083,x14084,x14085),f279(x14082,x14083,x14084,x14085))
% 207.24/207.91 [1409]~E(x14091,x14092)+E(f279(x14093,x14091,x14094,x14095),f279(x14093,x14092,x14094,x14095))
% 207.24/207.91 [1410]~E(x14101,x14102)+E(f279(x14103,x14104,x14101,x14105),f279(x14103,x14104,x14102,x14105))
% 207.24/207.91 [1411]~E(x14111,x14112)+E(f279(x14113,x14114,x14115,x14111),f279(x14113,x14114,x14115,x14112))
% 207.24/207.91 [1412]~E(x14121,x14122)+E(f427(x14121,x14123,x14124,x14125),f427(x14122,x14123,x14124,x14125))
% 207.24/207.91 [1413]~E(x14131,x14132)+E(f427(x14133,x14131,x14134,x14135),f427(x14133,x14132,x14134,x14135))
% 207.24/207.91 [1414]~E(x14141,x14142)+E(f427(x14143,x14144,x14141,x14145),f427(x14143,x14144,x14142,x14145))
% 207.24/207.91 [1415]~E(x14151,x14152)+E(f427(x14153,x14154,x14155,x14151),f427(x14153,x14154,x14155,x14152))
% 207.24/207.91 [1416]~E(x14161,x14162)+E(f433(x14161,x14163,x14164),f433(x14162,x14163,x14164))
% 207.24/207.91 [1417]~E(x14171,x14172)+E(f433(x14173,x14171,x14174),f433(x14173,x14172,x14174))
% 207.24/207.91 [1418]~E(x14181,x14182)+E(f433(x14183,x14184,x14181),f433(x14183,x14184,x14182))
% 207.24/207.91 [1419]~E(x14191,x14192)+E(f480(x14191,x14193,x14194),f480(x14192,x14193,x14194))
% 207.24/207.91 [1420]~E(x14201,x14202)+E(f480(x14203,x14201,x14204),f480(x14203,x14202,x14204))
% 207.24/207.91 [1421]~E(x14211,x14212)+E(f480(x14213,x14214,x14211),f480(x14213,x14214,x14212))
% 207.24/207.91 [1422]~E(x14221,x14222)+E(f408(x14221,x14223),f408(x14222,x14223))
% 207.24/207.91 [1423]~E(x14231,x14232)+E(f408(x14233,x14231),f408(x14233,x14232))
% 207.24/207.91 [1424]~E(x14241,x14242)+E(f29(x14241,x14243),f29(x14242,x14243))
% 207.24/207.91 [1425]~E(x14251,x14252)+E(f29(x14253,x14251),f29(x14253,x14252))
% 207.24/207.91 [1426]~E(x14261,x14262)+E(f347(x14261,x14263,x14264,x14265,x14266),f347(x14262,x14263,x14264,x14265,x14266))
% 207.24/207.91 [1427]~E(x14271,x14272)+E(f347(x14273,x14271,x14274,x14275,x14276),f347(x14273,x14272,x14274,x14275,x14276))
% 207.24/207.91 [1428]~E(x14281,x14282)+E(f347(x14283,x14284,x14281,x14285,x14286),f347(x14283,x14284,x14282,x14285,x14286))
% 207.24/207.91 [1429]~E(x14291,x14292)+E(f347(x14293,x14294,x14295,x14291,x14296),f347(x14293,x14294,x14295,x14292,x14296))
% 207.24/207.91 [1430]~E(x14301,x14302)+E(f347(x14303,x14304,x14305,x14306,x14301),f347(x14303,x14304,x14305,x14306,x14302))
% 207.24/207.91 [1431]~E(x14311,x14312)+E(f429(x14311,x14313,x14314,x14315),f429(x14312,x14313,x14314,x14315))
% 207.24/207.91 [1432]~E(x14321,x14322)+E(f429(x14323,x14321,x14324,x14325),f429(x14323,x14322,x14324,x14325))
% 207.24/207.91 [1433]~E(x14331,x14332)+E(f429(x14333,x14334,x14331,x14335),f429(x14333,x14334,x14332,x14335))
% 207.24/207.91 [1434]~E(x14341,x14342)+E(f429(x14343,x14344,x14345,x14341),f429(x14343,x14344,x14345,x14342))
% 207.24/207.91 [1435]~E(x14351,x14352)+E(f276(x14351,x14353,x14354,x14355),f276(x14352,x14353,x14354,x14355))
% 207.24/207.91 [1436]~E(x14361,x14362)+E(f276(x14363,x14361,x14364,x14365),f276(x14363,x14362,x14364,x14365))
% 207.24/207.91 [1437]~E(x14371,x14372)+E(f276(x14373,x14374,x14371,x14375),f276(x14373,x14374,x14372,x14375))
% 207.24/207.91 [1438]~E(x14381,x14382)+E(f276(x14383,x14384,x14385,x14381),f276(x14383,x14384,x14385,x14382))
% 207.24/207.91 [1439]~E(x14391,x14392)+E(f192(x14391,x14393,x14394,x14395),f192(x14392,x14393,x14394,x14395))
% 207.24/207.91 [1440]~E(x14401,x14402)+E(f192(x14403,x14401,x14404,x14405),f192(x14403,x14402,x14404,x14405))
% 207.24/207.91 [1441]~E(x14411,x14412)+E(f192(x14413,x14414,x14411,x14415),f192(x14413,x14414,x14412,x14415))
% 207.24/207.91 [1442]~E(x14421,x14422)+E(f192(x14423,x14424,x14425,x14421),f192(x14423,x14424,x14425,x14422))
% 207.24/207.91 [1443]~E(x14431,x14432)+E(f745(x14431,x14433),f745(x14432,x14433))
% 207.24/207.91 [1444]~E(x14441,x14442)+E(f745(x14443,x14441),f745(x14443,x14442))
% 207.24/207.91 [1445]~E(x14451,x14452)+E(f406(x14451),f406(x14452))
% 207.24/207.91 [1446]~E(x14461,x14462)+E(f391(x14461),f391(x14462))
% 207.24/207.91 [1447]~E(x14471,x14472)+E(f237(x14471,x14473),f237(x14472,x14473))
% 207.24/207.91 [1448]~E(x14481,x14482)+E(f237(x14483,x14481),f237(x14483,x14482))
% 207.24/207.91 [1449]~E(x14491,x14492)+E(f658(x14491,x14493,x14494),f658(x14492,x14493,x14494))
% 207.24/207.91 [1450]~E(x14501,x14502)+E(f658(x14503,x14501,x14504),f658(x14503,x14502,x14504))
% 207.24/207.91 [1451]~E(x14511,x14512)+E(f658(x14513,x14514,x14511),f658(x14513,x14514,x14512))
% 207.24/207.91 [1452]~E(x14521,x14522)+E(f605(x14521,x14523,x14524),f605(x14522,x14523,x14524))
% 207.24/207.91 [1453]~E(x14531,x14532)+E(f605(x14533,x14531,x14534),f605(x14533,x14532,x14534))
% 207.24/207.91 [1454]~E(x14541,x14542)+E(f605(x14543,x14544,x14541),f605(x14543,x14544,x14542))
% 207.24/207.91 [1455]~E(x14551,x14552)+E(f855(x14551,x14553,x14554),f855(x14552,x14553,x14554))
% 207.24/207.91 [1456]~E(x14561,x14562)+E(f855(x14563,x14561,x14564),f855(x14563,x14562,x14564))
% 207.24/207.91 [1457]~E(x14571,x14572)+E(f855(x14573,x14574,x14571),f855(x14573,x14574,x14572))
% 207.24/207.91 [1458]~E(x14581,x14582)+E(f876(x14581,x14583,x14584,x14585),f876(x14582,x14583,x14584,x14585))
% 207.24/207.91 [1459]~E(x14591,x14592)+E(f876(x14593,x14591,x14594,x14595),f876(x14593,x14592,x14594,x14595))
% 207.24/207.91 [1460]~E(x14601,x14602)+E(f876(x14603,x14604,x14601,x14605),f876(x14603,x14604,x14602,x14605))
% 207.24/207.91 [1461]~E(x14611,x14612)+E(f876(x14613,x14614,x14615,x14611),f876(x14613,x14614,x14615,x14612))
% 207.24/207.91 [1462]~E(x14621,x14622)+E(f459(x14621,x14623,x14624),f459(x14622,x14623,x14624))
% 207.24/207.91 [1463]~E(x14631,x14632)+E(f459(x14633,x14631,x14634),f459(x14633,x14632,x14634))
% 207.24/207.91 [1464]~E(x14641,x14642)+E(f459(x14643,x14644,x14641),f459(x14643,x14644,x14642))
% 207.24/207.91 [1465]~E(x14651,x14652)+E(f554(x14651,x14653),f554(x14652,x14653))
% 207.24/207.91 [1466]~E(x14661,x14662)+E(f554(x14663,x14661),f554(x14663,x14662))
% 207.24/207.91 [1467]~E(x14671,x14672)+E(f30(x14671,x14673),f30(x14672,x14673))
% 207.24/207.91 [1468]~E(x14681,x14682)+E(f30(x14683,x14681),f30(x14683,x14682))
% 207.24/207.91 [1469]~E(x14691,x14692)+E(f293(x14691,x14693),f293(x14692,x14693))
% 207.24/207.91 [1470]~E(x14701,x14702)+E(f293(x14703,x14701),f293(x14703,x14702))
% 207.24/207.91 [1471]~E(x14711,x14712)+E(f499(x14711,x14713,x14714,x14715),f499(x14712,x14713,x14714,x14715))
% 207.24/207.91 [1472]~E(x14721,x14722)+E(f499(x14723,x14721,x14724,x14725),f499(x14723,x14722,x14724,x14725))
% 207.24/207.91 [1473]~E(x14731,x14732)+E(f499(x14733,x14734,x14731,x14735),f499(x14733,x14734,x14732,x14735))
% 207.24/207.91 [1474]~E(x14741,x14742)+E(f499(x14743,x14744,x14745,x14741),f499(x14743,x14744,x14745,x14742))
% 207.24/207.91 [1475]~E(x14751,x14752)+E(f19(x14751,x14753,x14754,x14755),f19(x14752,x14753,x14754,x14755))
% 207.24/207.91 [1476]~E(x14761,x14762)+E(f19(x14763,x14761,x14764,x14765),f19(x14763,x14762,x14764,x14765))
% 207.24/207.91 [1477]~E(x14771,x14772)+E(f19(x14773,x14774,x14771,x14775),f19(x14773,x14774,x14772,x14775))
% 207.24/207.91 [1478]~E(x14781,x14782)+E(f19(x14783,x14784,x14785,x14781),f19(x14783,x14784,x14785,x14782))
% 207.24/207.91 [1479]~E(x14791,x14792)+E(f376(x14791,x14793,x14794,x14795,x14796),f376(x14792,x14793,x14794,x14795,x14796))
% 207.24/207.91 [1480]~E(x14801,x14802)+E(f376(x14803,x14801,x14804,x14805,x14806),f376(x14803,x14802,x14804,x14805,x14806))
% 207.24/207.91 [1481]~E(x14811,x14812)+E(f376(x14813,x14814,x14811,x14815,x14816),f376(x14813,x14814,x14812,x14815,x14816))
% 207.24/207.91 [1482]~E(x14821,x14822)+E(f376(x14823,x14824,x14825,x14821,x14826),f376(x14823,x14824,x14825,x14822,x14826))
% 207.24/207.91 [1483]~E(x14831,x14832)+E(f376(x14833,x14834,x14835,x14836,x14831),f376(x14833,x14834,x14835,x14836,x14832))
% 207.24/207.91 [1484]~E(x14841,x14842)+E(f230(x14841,x14843,x14844),f230(x14842,x14843,x14844))
% 207.24/207.91 [1485]~E(x14851,x14852)+E(f230(x14853,x14851,x14854),f230(x14853,x14852,x14854))
% 207.24/207.91 [1486]~E(x14861,x14862)+E(f230(x14863,x14864,x14861),f230(x14863,x14864,x14862))
% 207.24/207.91 [1487]~E(x14871,x14872)+E(f147(x14871,x14873),f147(x14872,x14873))
% 207.24/207.91 [1488]~E(x14881,x14882)+E(f147(x14883,x14881),f147(x14883,x14882))
% 207.24/207.91 [1489]~E(x14891,x14892)+E(f357(x14891,x14893),f357(x14892,x14893))
% 207.24/207.91 [1490]~E(x14901,x14902)+E(f357(x14903,x14901),f357(x14903,x14902))
% 207.24/207.91 [1491]~E(x14911,x14912)+E(f460(x14911,x14913,x14914),f460(x14912,x14913,x14914))
% 207.24/207.91 [1492]~E(x14921,x14922)+E(f460(x14923,x14921,x14924),f460(x14923,x14922,x14924))
% 207.24/207.91 [1493]~E(x14931,x14932)+E(f460(x14933,x14934,x14931),f460(x14933,x14934,x14932))
% 207.24/207.91 [1494]~E(x14941,x14942)+E(f299(x14941,x14943,x14944,x14945),f299(x14942,x14943,x14944,x14945))
% 207.24/207.91 [1495]~E(x14951,x14952)+E(f299(x14953,x14951,x14954,x14955),f299(x14953,x14952,x14954,x14955))
% 207.24/207.91 [1496]~E(x14961,x14962)+E(f299(x14963,x14964,x14961,x14965),f299(x14963,x14964,x14962,x14965))
% 207.24/207.91 [1497]~E(x14971,x14972)+E(f299(x14973,x14974,x14975,x14971),f299(x14973,x14974,x14975,x14972))
% 207.24/207.91 [1498]~E(x14981,x14982)+E(f663(x14981,x14983,x14984),f663(x14982,x14983,x14984))
% 207.24/207.91 [1499]~E(x14991,x14992)+E(f663(x14993,x14991,x14994),f663(x14993,x14992,x14994))
% 207.24/207.91 [1500]~E(x15001,x15002)+E(f663(x15003,x15004,x15001),f663(x15003,x15004,x15002))
% 207.24/207.91 [1501]~E(x15011,x15012)+E(f216(x15011,x15013),f216(x15012,x15013))
% 207.24/207.91 [1502]~E(x15021,x15022)+E(f216(x15023,x15021),f216(x15023,x15022))
% 207.24/207.91 [1503]~E(x15031,x15032)+E(f596(x15031,x15033,x15034,x15035),f596(x15032,x15033,x15034,x15035))
% 207.24/207.91 [1504]~E(x15041,x15042)+E(f596(x15043,x15041,x15044,x15045),f596(x15043,x15042,x15044,x15045))
% 207.24/207.91 [1505]~E(x15051,x15052)+E(f596(x15053,x15054,x15051,x15055),f596(x15053,x15054,x15052,x15055))
% 207.24/207.91 [1506]~E(x15061,x15062)+E(f596(x15063,x15064,x15065,x15061),f596(x15063,x15064,x15065,x15062))
% 207.24/207.91 [1507]~E(x15071,x15072)+E(f635(x15071,x15073,x15074,x15075,x15076),f635(x15072,x15073,x15074,x15075,x15076))
% 207.24/207.91 [1508]~E(x15081,x15082)+E(f635(x15083,x15081,x15084,x15085,x15086),f635(x15083,x15082,x15084,x15085,x15086))
% 207.24/207.91 [1509]~E(x15091,x15092)+E(f635(x15093,x15094,x15091,x15095,x15096),f635(x15093,x15094,x15092,x15095,x15096))
% 207.24/207.91 [1510]~E(x15101,x15102)+E(f635(x15103,x15104,x15105,x15101,x15106),f635(x15103,x15104,x15105,x15102,x15106))
% 207.24/207.91 [1511]~E(x15111,x15112)+E(f635(x15113,x15114,x15115,x15116,x15111),f635(x15113,x15114,x15115,x15116,x15112))
% 207.24/207.91 [1512]~E(x15121,x15122)+E(f765(x15121,x15123,x15124,x15125),f765(x15122,x15123,x15124,x15125))
% 207.24/207.91 [1513]~E(x15131,x15132)+E(f765(x15133,x15131,x15134,x15135),f765(x15133,x15132,x15134,x15135))
% 207.24/207.91 [1514]~E(x15141,x15142)+E(f765(x15143,x15144,x15141,x15145),f765(x15143,x15144,x15142,x15145))
% 207.24/207.91 [1515]~E(x15151,x15152)+E(f765(x15153,x15154,x15155,x15151),f765(x15153,x15154,x15155,x15152))
% 207.24/207.91 [1516]~E(x15161,x15162)+E(f477(x15161,x15163,x15164),f477(x15162,x15163,x15164))
% 207.24/207.91 [1517]~E(x15171,x15172)+E(f477(x15173,x15171,x15174),f477(x15173,x15172,x15174))
% 207.24/207.91 [1518]~E(x15181,x15182)+E(f477(x15183,x15184,x15181),f477(x15183,x15184,x15182))
% 207.24/207.91 [1519]~E(x15191,x15192)+E(f562(x15191,x15193,x15194,x15195,x15196),f562(x15192,x15193,x15194,x15195,x15196))
% 207.24/207.91 [1520]~E(x15201,x15202)+E(f562(x15203,x15201,x15204,x15205,x15206),f562(x15203,x15202,x15204,x15205,x15206))
% 207.24/207.91 [1521]~E(x15211,x15212)+E(f562(x15213,x15214,x15211,x15215,x15216),f562(x15213,x15214,x15212,x15215,x15216))
% 207.24/207.91 [1522]~E(x15221,x15222)+E(f562(x15223,x15224,x15225,x15221,x15226),f562(x15223,x15224,x15225,x15222,x15226))
% 207.24/207.91 [1523]~E(x15231,x15232)+E(f562(x15233,x15234,x15235,x15236,x15231),f562(x15233,x15234,x15235,x15236,x15232))
% 207.24/207.91 [1524]~E(x15241,x15242)+E(f673(x15241,x15243,x15244),f673(x15242,x15243,x15244))
% 207.24/207.91 [1525]~E(x15251,x15252)+E(f673(x15253,x15251,x15254),f673(x15253,x15252,x15254))
% 207.24/207.91 [1526]~E(x15261,x15262)+E(f673(x15263,x15264,x15261),f673(x15263,x15264,x15262))
% 207.24/207.91 [1527]~E(x15271,x15272)+E(f386(x15271),f386(x15272))
% 207.24/207.91 [1528]~E(x15281,x15282)+E(f688(x15281,x15283,x15284),f688(x15282,x15283,x15284))
% 207.24/207.91 [1529]~E(x15291,x15292)+E(f688(x15293,x15291,x15294),f688(x15293,x15292,x15294))
% 207.24/207.91 [1530]~E(x15301,x15302)+E(f688(x15303,x15304,x15301),f688(x15303,x15304,x15302))
% 207.24/207.91 [1531]~E(x15311,x15312)+E(f368(x15311,x15313,x15314,x15315),f368(x15312,x15313,x15314,x15315))
% 207.24/207.91 [1532]~E(x15321,x15322)+E(f368(x15323,x15321,x15324,x15325),f368(x15323,x15322,x15324,x15325))
% 207.24/207.91 [1533]~E(x15331,x15332)+E(f368(x15333,x15334,x15331,x15335),f368(x15333,x15334,x15332,x15335))
% 207.24/207.91 [1534]~E(x15341,x15342)+E(f368(x15343,x15344,x15345,x15341),f368(x15343,x15344,x15345,x15342))
% 207.24/207.91 [1535]~E(x15351,x15352)+E(f150(x15351,x15353,x15354,x15355,x15356),f150(x15352,x15353,x15354,x15355,x15356))
% 207.24/207.91 [1536]~E(x15361,x15362)+E(f150(x15363,x15361,x15364,x15365,x15366),f150(x15363,x15362,x15364,x15365,x15366))
% 207.24/207.91 [1537]~E(x15371,x15372)+E(f150(x15373,x15374,x15371,x15375,x15376),f150(x15373,x15374,x15372,x15375,x15376))
% 207.24/207.91 [1538]~E(x15381,x15382)+E(f150(x15383,x15384,x15385,x15381,x15386),f150(x15383,x15384,x15385,x15382,x15386))
% 207.24/207.91 [1539]~E(x15391,x15392)+E(f150(x15393,x15394,x15395,x15396,x15391),f150(x15393,x15394,x15395,x15396,x15392))
% 207.24/207.91 [1540]~E(x15401,x15402)+E(f548(x15401,x15403,x15404,x15405),f548(x15402,x15403,x15404,x15405))
% 207.24/207.91 [1541]~E(x15411,x15412)+E(f548(x15413,x15411,x15414,x15415),f548(x15413,x15412,x15414,x15415))
% 207.24/207.91 [1542]~E(x15421,x15422)+E(f548(x15423,x15424,x15421,x15425),f548(x15423,x15424,x15422,x15425))
% 207.24/207.91 [1543]~E(x15431,x15432)+E(f548(x15433,x15434,x15435,x15431),f548(x15433,x15434,x15435,x15432))
% 207.24/207.91 [1544]~E(x15441,x15442)+E(f281(x15441),f281(x15442))
% 207.24/207.91 [1545]~E(x15451,x15452)+E(f671(x15451,x15453),f671(x15452,x15453))
% 207.24/207.91 [1546]~E(x15461,x15462)+E(f671(x15463,x15461),f671(x15463,x15462))
% 207.24/207.91 [1547]~E(x15471,x15472)+E(f434(x15471,x15473,x15474,x15475),f434(x15472,x15473,x15474,x15475))
% 207.24/207.91 [1548]~E(x15481,x15482)+E(f434(x15483,x15481,x15484,x15485),f434(x15483,x15482,x15484,x15485))
% 207.24/207.91 [1549]~E(x15491,x15492)+E(f434(x15493,x15494,x15491,x15495),f434(x15493,x15494,x15492,x15495))
% 207.24/207.91 [1550]~E(x15501,x15502)+E(f434(x15503,x15504,x15505,x15501),f434(x15503,x15504,x15505,x15502))
% 207.24/207.91 [1551]~E(x15511,x15512)+E(f891(x15511,x15513),f891(x15512,x15513))
% 207.24/207.91 [1552]~E(x15521,x15522)+E(f891(x15523,x15521),f891(x15523,x15522))
% 207.24/207.91 [1553]~E(x15531,x15532)+E(f196(x15531,x15533),f196(x15532,x15533))
% 207.24/207.91 [1554]~E(x15541,x15542)+E(f196(x15543,x15541),f196(x15543,x15542))
% 207.24/207.91 [1555]~E(x15551,x15552)+E(f355(x15551,x15553,x15554,x15555,x15556),f355(x15552,x15553,x15554,x15555,x15556))
% 207.24/207.91 [1556]~E(x15561,x15562)+E(f355(x15563,x15561,x15564,x15565,x15566),f355(x15563,x15562,x15564,x15565,x15566))
% 207.24/207.91 [1557]~E(x15571,x15572)+E(f355(x15573,x15574,x15571,x15575,x15576),f355(x15573,x15574,x15572,x15575,x15576))
% 207.24/207.91 [1558]~E(x15581,x15582)+E(f355(x15583,x15584,x15585,x15581,x15586),f355(x15583,x15584,x15585,x15582,x15586))
% 207.24/207.91 [1559]~E(x15591,x15592)+E(f355(x15593,x15594,x15595,x15596,x15591),f355(x15593,x15594,x15595,x15596,x15592))
% 207.24/207.91 [1560]~E(x15601,x15602)+E(f886(x15601,x15603,x15604),f886(x15602,x15603,x15604))
% 207.24/207.91 [1561]~E(x15611,x15612)+E(f886(x15613,x15611,x15614),f886(x15613,x15612,x15614))
% 207.24/207.91 [1562]~E(x15621,x15622)+E(f886(x15623,x15624,x15621),f886(x15623,x15624,x15622))
% 207.24/207.91 [1563]~E(x15631,x15632)+E(f451(x15631,x15633,x15634,x15635),f451(x15632,x15633,x15634,x15635))
% 207.24/207.91 [1564]~E(x15641,x15642)+E(f451(x15643,x15641,x15644,x15645),f451(x15643,x15642,x15644,x15645))
% 207.24/207.91 [1565]~E(x15651,x15652)+E(f451(x15653,x15654,x15651,x15655),f451(x15653,x15654,x15652,x15655))
% 207.24/207.91 [1566]~E(x15661,x15662)+E(f451(x15663,x15664,x15665,x15661),f451(x15663,x15664,x15665,x15662))
% 207.24/207.91 [1567]~E(x15671,x15672)+E(f830(x15671,x15673,x15674,x15675,x15676),f830(x15672,x15673,x15674,x15675,x15676))
% 207.24/207.91 [1568]~E(x15681,x15682)+E(f830(x15683,x15681,x15684,x15685,x15686),f830(x15683,x15682,x15684,x15685,x15686))
% 207.24/207.91 [1569]~E(x15691,x15692)+E(f830(x15693,x15694,x15691,x15695,x15696),f830(x15693,x15694,x15692,x15695,x15696))
% 207.24/207.91 [1570]~E(x15701,x15702)+E(f830(x15703,x15704,x15705,x15701,x15706),f830(x15703,x15704,x15705,x15702,x15706))
% 207.24/207.91 [1571]~E(x15711,x15712)+E(f830(x15713,x15714,x15715,x15716,x15711),f830(x15713,x15714,x15715,x15716,x15712))
% 207.24/207.91 [1572]~E(x15721,x15722)+E(f841(x15721,x15723,x15724,x15725,x15726,x15727,x15728),f841(x15722,x15723,x15724,x15725,x15726,x15727,x15728))
% 207.24/207.91 [1573]~E(x15731,x15732)+E(f841(x15733,x15731,x15734,x15735,x15736,x15737,x15738),f841(x15733,x15732,x15734,x15735,x15736,x15737,x15738))
% 207.24/207.91 [1574]~E(x15741,x15742)+E(f841(x15743,x15744,x15741,x15745,x15746,x15747,x15748),f841(x15743,x15744,x15742,x15745,x15746,x15747,x15748))
% 207.24/207.91 [1575]~E(x15751,x15752)+E(f841(x15753,x15754,x15755,x15751,x15756,x15757,x15758),f841(x15753,x15754,x15755,x15752,x15756,x15757,x15758))
% 207.24/207.91 [1576]~E(x15761,x15762)+E(f841(x15763,x15764,x15765,x15766,x15761,x15767,x15768),f841(x15763,x15764,x15765,x15766,x15762,x15767,x15768))
% 207.24/207.91 [1577]~E(x15771,x15772)+E(f841(x15773,x15774,x15775,x15776,x15777,x15771,x15778),f841(x15773,x15774,x15775,x15776,x15777,x15772,x15778))
% 207.24/207.91 [1578]~E(x15781,x15782)+E(f841(x15783,x15784,x15785,x15786,x15787,x15788,x15781),f841(x15783,x15784,x15785,x15786,x15787,x15788,x15782))
% 207.24/207.91 [1579]~E(x15791,x15792)+E(f838(x15791,x15793,x15794,x15795,x15796,x15797,x15798,x15799),f838(x15792,x15793,x15794,x15795,x15796,x15797,x15798,x15799))
% 207.24/207.91 [1580]~E(x15801,x15802)+E(f838(x15803,x15801,x15804,x15805,x15806,x15807,x15808,x15809),f838(x15803,x15802,x15804,x15805,x15806,x15807,x15808,x15809))
% 207.24/207.91 [1581]~E(x15811,x15812)+E(f838(x15813,x15814,x15811,x15815,x15816,x15817,x15818,x15819),f838(x15813,x15814,x15812,x15815,x15816,x15817,x15818,x15819))
% 207.24/207.91 [1582]~E(x15821,x15822)+E(f838(x15823,x15824,x15825,x15821,x15826,x15827,x15828,x15829),f838(x15823,x15824,x15825,x15822,x15826,x15827,x15828,x15829))
% 207.24/207.91 [1583]~E(x15831,x15832)+E(f838(x15833,x15834,x15835,x15836,x15831,x15837,x15838,x15839),f838(x15833,x15834,x15835,x15836,x15832,x15837,x15838,x15839))
% 207.24/207.91 [1584]~E(x15841,x15842)+E(f838(x15843,x15844,x15845,x15846,x15847,x15841,x15848,x15849),f838(x15843,x15844,x15845,x15846,x15847,x15842,x15848,x15849))
% 207.24/207.91 [1585]~E(x15851,x15852)+E(f838(x15853,x15854,x15855,x15856,x15857,x15858,x15851,x15859),f838(x15853,x15854,x15855,x15856,x15857,x15858,x15852,x15859))
% 207.24/207.91 [1586]~E(x15861,x15862)+E(f838(x15863,x15864,x15865,x15866,x15867,x15868,x15869,x15861),f838(x15863,x15864,x15865,x15866,x15867,x15868,x15869,x15862))
% 207.24/207.91 [1587]~E(x15871,x15872)+E(f538(x15871,x15873,x15874,x15875),f538(x15872,x15873,x15874,x15875))
% 207.24/207.91 [1588]~E(x15881,x15882)+E(f538(x15883,x15881,x15884,x15885),f538(x15883,x15882,x15884,x15885))
% 207.24/207.91 [1589]~E(x15891,x15892)+E(f538(x15893,x15894,x15891,x15895),f538(x15893,x15894,x15892,x15895))
% 207.24/207.91 [1590]~E(x15901,x15902)+E(f538(x15903,x15904,x15905,x15901),f538(x15903,x15904,x15905,x15902))
% 207.24/207.91 [1591]~E(x15911,x15912)+E(f465(x15911,x15913,x15914),f465(x15912,x15913,x15914))
% 207.24/207.91 [1592]~E(x15921,x15922)+E(f465(x15923,x15921,x15924),f465(x15923,x15922,x15924))
% 207.24/207.91 [1593]~E(x15931,x15932)+E(f465(x15933,x15934,x15931),f465(x15933,x15934,x15932))
% 207.24/207.91 [1594]~E(x15941,x15942)+E(f457(x15941,x15943,x15944,x15945),f457(x15942,x15943,x15944,x15945))
% 207.24/207.91 [1595]~E(x15951,x15952)+E(f457(x15953,x15951,x15954,x15955),f457(x15953,x15952,x15954,x15955))
% 207.24/207.91 [1596]~E(x15961,x15962)+E(f457(x15963,x15964,x15961,x15965),f457(x15963,x15964,x15962,x15965))
% 207.24/207.91 [1597]~E(x15971,x15972)+E(f457(x15973,x15974,x15975,x15971),f457(x15973,x15974,x15975,x15972))
% 207.24/207.91 [1598]~E(x15981,x15982)+E(f833(x15981,x15983,x15984),f833(x15982,x15983,x15984))
% 207.24/207.91 [1599]~E(x15991,x15992)+E(f833(x15993,x15991,x15994),f833(x15993,x15992,x15994))
% 207.24/207.91 [1600]~E(x16001,x16002)+E(f833(x16003,x16004,x16001),f833(x16003,x16004,x16002))
% 207.24/207.91 [1601]~E(x16011,x16012)+E(f522(x16011,x16013,x16014),f522(x16012,x16013,x16014))
% 207.24/207.91 [1602]~E(x16021,x16022)+E(f522(x16023,x16021,x16024),f522(x16023,x16022,x16024))
% 207.24/207.91 [1603]~E(x16031,x16032)+E(f522(x16033,x16034,x16031),f522(x16033,x16034,x16032))
% 207.24/207.91 [1604]~E(x16041,x16042)+E(f561(x16041,x16043,x16044,x16045,x16046),f561(x16042,x16043,x16044,x16045,x16046))
% 207.24/207.91 [1605]~E(x16051,x16052)+E(f561(x16053,x16051,x16054,x16055,x16056),f561(x16053,x16052,x16054,x16055,x16056))
% 207.24/207.91 [1606]~E(x16061,x16062)+E(f561(x16063,x16064,x16061,x16065,x16066),f561(x16063,x16064,x16062,x16065,x16066))
% 207.24/207.91 [1607]~E(x16071,x16072)+E(f561(x16073,x16074,x16075,x16071,x16076),f561(x16073,x16074,x16075,x16072,x16076))
% 207.24/207.91 [1608]~E(x16081,x16082)+E(f561(x16083,x16084,x16085,x16086,x16081),f561(x16083,x16084,x16085,x16086,x16082))
% 207.24/207.91 [1609]~E(x16091,x16092)+E(f409(x16091,x16093,x16094),f409(x16092,x16093,x16094))
% 207.24/207.91 [1610]~E(x16101,x16102)+E(f409(x16103,x16101,x16104),f409(x16103,x16102,x16104))
% 207.24/207.91 [1611]~E(x16111,x16112)+E(f409(x16113,x16114,x16111),f409(x16113,x16114,x16112))
% 207.24/207.91 [1612]~E(x16121,x16122)+E(f504(x16121,x16123,x16124),f504(x16122,x16123,x16124))
% 207.24/207.91 [1613]~E(x16131,x16132)+E(f504(x16133,x16131,x16134),f504(x16133,x16132,x16134))
% 207.24/207.91 [1614]~E(x16141,x16142)+E(f504(x16143,x16144,x16141),f504(x16143,x16144,x16142))
% 207.24/207.91 [1615]~E(x16151,x16152)+E(f579(x16151,x16153,x16154,x16155,x16156),f579(x16152,x16153,x16154,x16155,x16156))
% 207.24/207.91 [1616]~E(x16161,x16162)+E(f579(x16163,x16161,x16164,x16165,x16166),f579(x16163,x16162,x16164,x16165,x16166))
% 207.24/207.91 [1617]~E(x16171,x16172)+E(f579(x16173,x16174,x16171,x16175,x16176),f579(x16173,x16174,x16172,x16175,x16176))
% 207.24/207.91 [1618]~E(x16181,x16182)+E(f579(x16183,x16184,x16185,x16181,x16186),f579(x16183,x16184,x16185,x16182,x16186))
% 207.24/207.91 [1619]~E(x16191,x16192)+E(f579(x16193,x16194,x16195,x16196,x16191),f579(x16193,x16194,x16195,x16196,x16192))
% 207.24/207.91 [1620]~E(x16201,x16202)+E(f804(x16201),f804(x16202))
% 207.24/207.91 [1621]~E(x16211,x16212)+E(f210(x16211),f210(x16212))
% 207.24/207.91 [1622]~E(x16221,x16222)+E(f144(x16221,x16223),f144(x16222,x16223))
% 207.24/207.91 [1623]~E(x16231,x16232)+E(f144(x16233,x16231),f144(x16233,x16232))
% 207.24/207.91 [1624]~E(x16241,x16242)+E(f529(x16241,x16243,x16244),f529(x16242,x16243,x16244))
% 207.24/207.91 [1625]~E(x16251,x16252)+E(f529(x16253,x16251,x16254),f529(x16253,x16252,x16254))
% 207.24/207.91 [1626]~E(x16261,x16262)+E(f529(x16263,x16264,x16261),f529(x16263,x16264,x16262))
% 207.24/207.91 [1627]~E(x16271,x16272)+E(f843(x16271,x16273,x16274,x16275,x16276,x16277,x16278,x16279),f843(x16272,x16273,x16274,x16275,x16276,x16277,x16278,x16279))
% 207.24/207.91 [1628]~E(x16281,x16282)+E(f843(x16283,x16281,x16284,x16285,x16286,x16287,x16288,x16289),f843(x16283,x16282,x16284,x16285,x16286,x16287,x16288,x16289))
% 207.24/207.91 [1629]~E(x16291,x16292)+E(f843(x16293,x16294,x16291,x16295,x16296,x16297,x16298,x16299),f843(x16293,x16294,x16292,x16295,x16296,x16297,x16298,x16299))
% 207.24/207.91 [1630]~E(x16301,x16302)+E(f843(x16303,x16304,x16305,x16301,x16306,x16307,x16308,x16309),f843(x16303,x16304,x16305,x16302,x16306,x16307,x16308,x16309))
% 207.24/207.91 [1631]~E(x16311,x16312)+E(f843(x16313,x16314,x16315,x16316,x16311,x16317,x16318,x16319),f843(x16313,x16314,x16315,x16316,x16312,x16317,x16318,x16319))
% 207.24/207.91 [1632]~E(x16321,x16322)+E(f843(x16323,x16324,x16325,x16326,x16327,x16321,x16328,x16329),f843(x16323,x16324,x16325,x16326,x16327,x16322,x16328,x16329))
% 207.24/207.91 [1633]~E(x16331,x16332)+E(f843(x16333,x16334,x16335,x16336,x16337,x16338,x16331,x16339),f843(x16333,x16334,x16335,x16336,x16337,x16338,x16332,x16339))
% 207.24/207.91 [1634]~E(x16341,x16342)+E(f843(x16343,x16344,x16345,x16346,x16347,x16348,x16349,x16341),f843(x16343,x16344,x16345,x16346,x16347,x16348,x16349,x16342))
% 207.24/207.91 [1635]~E(x16351,x16352)+E(f785(x16351,x16353,x16354,x16355,x16356,x16357,x16358),f785(x16352,x16353,x16354,x16355,x16356,x16357,x16358))
% 207.24/207.91 [1636]~E(x16361,x16362)+E(f785(x16363,x16361,x16364,x16365,x16366,x16367,x16368),f785(x16363,x16362,x16364,x16365,x16366,x16367,x16368))
% 207.24/207.91 [1637]~E(x16371,x16372)+E(f785(x16373,x16374,x16371,x16375,x16376,x16377,x16378),f785(x16373,x16374,x16372,x16375,x16376,x16377,x16378))
% 207.24/207.91 [1638]~E(x16381,x16382)+E(f785(x16383,x16384,x16385,x16381,x16386,x16387,x16388),f785(x16383,x16384,x16385,x16382,x16386,x16387,x16388))
% 207.24/207.91 [1639]~E(x16391,x16392)+E(f785(x16393,x16394,x16395,x16396,x16391,x16397,x16398),f785(x16393,x16394,x16395,x16396,x16392,x16397,x16398))
% 207.24/207.91 [1640]~E(x16401,x16402)+E(f785(x16403,x16404,x16405,x16406,x16407,x16401,x16408),f785(x16403,x16404,x16405,x16406,x16407,x16402,x16408))
% 207.24/207.91 [1641]~E(x16411,x16412)+E(f785(x16413,x16414,x16415,x16416,x16417,x16418,x16411),f785(x16413,x16414,x16415,x16416,x16417,x16418,x16412))
% 207.24/207.91 [1642]~E(x16421,x16422)+E(f430(x16421,x16423,x16424,x16425),f430(x16422,x16423,x16424,x16425))
% 207.24/207.91 [1643]~E(x16431,x16432)+E(f430(x16433,x16431,x16434,x16435),f430(x16433,x16432,x16434,x16435))
% 207.24/207.91 [1644]~E(x16441,x16442)+E(f430(x16443,x16444,x16441,x16445),f430(x16443,x16444,x16442,x16445))
% 207.24/207.91 [1645]~E(x16451,x16452)+E(f430(x16453,x16454,x16455,x16451),f430(x16453,x16454,x16455,x16452))
% 207.24/207.91 [1646]~E(x16461,x16462)+E(f625(x16461,x16463,x16464,x16465,x16466),f625(x16462,x16463,x16464,x16465,x16466))
% 207.24/207.91 [1647]~E(x16471,x16472)+E(f625(x16473,x16471,x16474,x16475,x16476),f625(x16473,x16472,x16474,x16475,x16476))
% 207.24/207.91 [1648]~E(x16481,x16482)+E(f625(x16483,x16484,x16481,x16485,x16486),f625(x16483,x16484,x16482,x16485,x16486))
% 207.24/207.91 [1649]~E(x16491,x16492)+E(f625(x16493,x16494,x16495,x16491,x16496),f625(x16493,x16494,x16495,x16492,x16496))
% 207.24/207.91 [1650]~E(x16501,x16502)+E(f625(x16503,x16504,x16505,x16506,x16501),f625(x16503,x16504,x16505,x16506,x16502))
% 207.24/207.91 [1651]~E(x16511,x16512)+E(f700(x16511,x16513,x16514),f700(x16512,x16513,x16514))
% 207.24/207.91 [1652]~E(x16521,x16522)+E(f700(x16523,x16521,x16524),f700(x16523,x16522,x16524))
% 207.24/207.91 [1653]~E(x16531,x16532)+E(f700(x16533,x16534,x16531),f700(x16533,x16534,x16532))
% 207.24/207.91 [1654]~E(x16541,x16542)+E(f808(x16541,x16543,x16544,x16545,x16546),f808(x16542,x16543,x16544,x16545,x16546))
% 207.24/207.91 [1655]~E(x16551,x16552)+E(f808(x16553,x16551,x16554,x16555,x16556),f808(x16553,x16552,x16554,x16555,x16556))
% 207.24/207.91 [1656]~E(x16561,x16562)+E(f808(x16563,x16564,x16561,x16565,x16566),f808(x16563,x16564,x16562,x16565,x16566))
% 207.24/207.91 [1657]~E(x16571,x16572)+E(f808(x16573,x16574,x16575,x16571,x16576),f808(x16573,x16574,x16575,x16572,x16576))
% 207.24/207.91 [1658]~E(x16581,x16582)+E(f808(x16583,x16584,x16585,x16586,x16581),f808(x16583,x16584,x16585,x16586,x16582))
% 207.24/207.91 [1659]~E(x16591,x16592)+E(f861(x16591,x16593,x16594,x16595),f861(x16592,x16593,x16594,x16595))
% 207.24/207.91 [1660]~E(x16601,x16602)+E(f861(x16603,x16601,x16604,x16605),f861(x16603,x16602,x16604,x16605))
% 207.24/207.91 [1661]~E(x16611,x16612)+E(f861(x16613,x16614,x16611,x16615),f861(x16613,x16614,x16612,x16615))
% 207.24/207.91 [1662]~E(x16621,x16622)+E(f861(x16623,x16624,x16625,x16621),f861(x16623,x16624,x16625,x16622))
% 207.24/207.91 [1663]~E(x16631,x16632)+E(f575(x16631,x16633,x16634),f575(x16632,x16633,x16634))
% 207.24/207.91 [1664]~E(x16641,x16642)+E(f575(x16643,x16641,x16644),f575(x16643,x16642,x16644))
% 207.24/207.91 [1665]~E(x16651,x16652)+E(f575(x16653,x16654,x16651),f575(x16653,x16654,x16652))
% 207.24/207.91 [1666]~E(x16661,x16662)+E(f675(x16661,x16663,x16664),f675(x16662,x16663,x16664))
% 207.24/207.91 [1667]~E(x16671,x16672)+E(f675(x16673,x16671,x16674),f675(x16673,x16672,x16674))
% 207.24/207.91 [1668]~E(x16681,x16682)+E(f675(x16683,x16684,x16681),f675(x16683,x16684,x16682))
% 207.24/207.91 [1669]~E(x16691,x16692)+E(f55(x16691,x16693),f55(x16692,x16693))
% 207.24/207.91 [1670]~E(x16701,x16702)+E(f55(x16703,x16701),f55(x16703,x16702))
% 207.24/207.91 [1671]~E(x16711,x16712)+E(f801(x16711,x16713),f801(x16712,x16713))
% 207.24/207.91 [1672]~E(x16721,x16722)+E(f801(x16723,x16721),f801(x16723,x16722))
% 207.24/207.91 [1673]~E(x16731,x16732)+E(f565(x16731,x16733,x16734,x16735,x16736,x16737,x16738,x16739),f565(x16732,x16733,x16734,x16735,x16736,x16737,x16738,x16739))
% 207.24/207.91 [1674]~E(x16741,x16742)+E(f565(x16743,x16741,x16744,x16745,x16746,x16747,x16748,x16749),f565(x16743,x16742,x16744,x16745,x16746,x16747,x16748,x16749))
% 207.24/207.91 [1675]~E(x16751,x16752)+E(f565(x16753,x16754,x16751,x16755,x16756,x16757,x16758,x16759),f565(x16753,x16754,x16752,x16755,x16756,x16757,x16758,x16759))
% 207.24/207.91 [1676]~E(x16761,x16762)+E(f565(x16763,x16764,x16765,x16761,x16766,x16767,x16768,x16769),f565(x16763,x16764,x16765,x16762,x16766,x16767,x16768,x16769))
% 207.24/207.91 [1677]~E(x16771,x16772)+E(f565(x16773,x16774,x16775,x16776,x16771,x16777,x16778,x16779),f565(x16773,x16774,x16775,x16776,x16772,x16777,x16778,x16779))
% 207.24/207.91 [1678]~E(x16781,x16782)+E(f565(x16783,x16784,x16785,x16786,x16787,x16781,x16788,x16789),f565(x16783,x16784,x16785,x16786,x16787,x16782,x16788,x16789))
% 207.24/207.91 [1679]~E(x16791,x16792)+E(f565(x16793,x16794,x16795,x16796,x16797,x16798,x16791,x16799),f565(x16793,x16794,x16795,x16796,x16797,x16798,x16792,x16799))
% 207.24/207.91 [1680]~E(x16801,x16802)+E(f565(x16803,x16804,x16805,x16806,x16807,x16808,x16809,x16801),f565(x16803,x16804,x16805,x16806,x16807,x16808,x16809,x16802))
% 207.24/207.91 [1681]~E(x16811,x16812)+E(f792(x16811,x16813,x16814),f792(x16812,x16813,x16814))
% 207.24/207.91 [1682]~E(x16821,x16822)+E(f792(x16823,x16821,x16824),f792(x16823,x16822,x16824))
% 207.24/207.91 [1683]~E(x16831,x16832)+E(f792(x16833,x16834,x16831),f792(x16833,x16834,x16832))
% 207.24/207.91 [1684]~E(x16841,x16842)+E(f211(x16841,x16843,x16844,x16845),f211(x16842,x16843,x16844,x16845))
% 207.24/207.91 [1685]~E(x16851,x16852)+E(f211(x16853,x16851,x16854,x16855),f211(x16853,x16852,x16854,x16855))
% 207.24/207.91 [1686]~E(x16861,x16862)+E(f211(x16863,x16864,x16861,x16865),f211(x16863,x16864,x16862,x16865))
% 207.24/207.91 [1687]~E(x16871,x16872)+E(f211(x16873,x16874,x16875,x16871),f211(x16873,x16874,x16875,x16872))
% 207.24/207.91 [1688]~E(x16881,x16882)+E(f760(x16881,x16883,x16884),f760(x16882,x16883,x16884))
% 207.24/207.91 [1689]~E(x16891,x16892)+E(f760(x16893,x16891,x16894),f760(x16893,x16892,x16894))
% 207.24/207.91 [1690]~E(x16901,x16902)+E(f760(x16903,x16904,x16901),f760(x16903,x16904,x16902))
% 207.24/207.91 [1691]~E(x16911,x16912)+E(f332(x16911),f332(x16912))
% 207.24/207.91 [1692]~E(x16921,x16922)+E(f617(x16921,x16923,x16924,x16925),f617(x16922,x16923,x16924,x16925))
% 207.24/207.91 [1693]~E(x16931,x16932)+E(f617(x16933,x16931,x16934,x16935),f617(x16933,x16932,x16934,x16935))
% 207.24/207.91 [1694]~E(x16941,x16942)+E(f617(x16943,x16944,x16941,x16945),f617(x16943,x16944,x16942,x16945))
% 207.24/207.91 [1695]~E(x16951,x16952)+E(f617(x16953,x16954,x16955,x16951),f617(x16953,x16954,x16955,x16952))
% 207.24/207.91 [1696]~E(x16961,x16962)+E(f901(x16961,x16963,x16964,x16965,x16966),f901(x16962,x16963,x16964,x16965,x16966))
% 207.24/207.91 [1697]~E(x16971,x16972)+E(f901(x16973,x16971,x16974,x16975,x16976),f901(x16973,x16972,x16974,x16975,x16976))
% 207.24/207.91 [1698]~E(x16981,x16982)+E(f901(x16983,x16984,x16981,x16985,x16986),f901(x16983,x16984,x16982,x16985,x16986))
% 207.24/207.91 [1699]~E(x16991,x16992)+E(f901(x16993,x16994,x16995,x16991,x16996),f901(x16993,x16994,x16995,x16992,x16996))
% 207.24/207.91 [1700]~E(x17001,x17002)+E(f901(x17003,x17004,x17005,x17006,x17001),f901(x17003,x17004,x17005,x17006,x17002))
% 207.24/207.91 [1701]~E(x17011,x17012)+E(f601(x17011,x17013,x17014),f601(x17012,x17013,x17014))
% 207.24/207.91 [1702]~E(x17021,x17022)+E(f601(x17023,x17021,x17024),f601(x17023,x17022,x17024))
% 207.24/207.91 [1703]~E(x17031,x17032)+E(f601(x17033,x17034,x17031),f601(x17033,x17034,x17032))
% 207.24/207.91 [1704]~E(x17041,x17042)+E(f734(x17041,x17043,x17044),f734(x17042,x17043,x17044))
% 207.24/207.91 [1705]~E(x17051,x17052)+E(f734(x17053,x17051,x17054),f734(x17053,x17052,x17054))
% 207.24/207.91 [1706]~E(x17061,x17062)+E(f734(x17063,x17064,x17061),f734(x17063,x17064,x17062))
% 207.24/207.91 [1707]~E(x17071,x17072)+E(f698(x17071,x17073,x17074),f698(x17072,x17073,x17074))
% 207.24/207.91 [1708]~E(x17081,x17082)+E(f698(x17083,x17081,x17084),f698(x17083,x17082,x17084))
% 207.24/207.91 [1709]~E(x17091,x17092)+E(f698(x17093,x17094,x17091),f698(x17093,x17094,x17092))
% 207.24/207.91 [1710]~E(x17101,x17102)+E(f436(x17101,x17103,x17104,x17105),f436(x17102,x17103,x17104,x17105))
% 207.24/207.91 [1711]~E(x17111,x17112)+E(f436(x17113,x17111,x17114,x17115),f436(x17113,x17112,x17114,x17115))
% 207.24/207.91 [1712]~E(x17121,x17122)+E(f436(x17123,x17124,x17121,x17125),f436(x17123,x17124,x17122,x17125))
% 207.24/207.91 [1713]~E(x17131,x17132)+E(f436(x17133,x17134,x17135,x17131),f436(x17133,x17134,x17135,x17132))
% 207.24/207.91 [1714]~E(x17141,x17142)+E(f783(x17141,x17143,x17144,x17145,x17146,x17147,x17148),f783(x17142,x17143,x17144,x17145,x17146,x17147,x17148))
% 207.24/207.91 [1715]~E(x17151,x17152)+E(f783(x17153,x17151,x17154,x17155,x17156,x17157,x17158),f783(x17153,x17152,x17154,x17155,x17156,x17157,x17158))
% 207.24/207.91 [1716]~E(x17161,x17162)+E(f783(x17163,x17164,x17161,x17165,x17166,x17167,x17168),f783(x17163,x17164,x17162,x17165,x17166,x17167,x17168))
% 207.24/207.91 [1717]~E(x17171,x17172)+E(f783(x17173,x17174,x17175,x17171,x17176,x17177,x17178),f783(x17173,x17174,x17175,x17172,x17176,x17177,x17178))
% 207.24/207.91 [1718]~E(x17181,x17182)+E(f783(x17183,x17184,x17185,x17186,x17181,x17187,x17188),f783(x17183,x17184,x17185,x17186,x17182,x17187,x17188))
% 207.24/207.91 [1719]~E(x17191,x17192)+E(f783(x17193,x17194,x17195,x17196,x17197,x17191,x17198),f783(x17193,x17194,x17195,x17196,x17197,x17192,x17198))
% 207.24/207.91 [1720]~E(x17201,x17202)+E(f783(x17203,x17204,x17205,x17206,x17207,x17208,x17201),f783(x17203,x17204,x17205,x17206,x17207,x17208,x17202))
% 207.24/207.91 [1721]~E(x17211,x17212)+E(f772(x17211,x17213,x17214,x17215),f772(x17212,x17213,x17214,x17215))
% 207.24/207.91 [1722]~E(x17221,x17222)+E(f772(x17223,x17221,x17224,x17225),f772(x17223,x17222,x17224,x17225))
% 207.24/207.91 [1723]~E(x17231,x17232)+E(f772(x17233,x17234,x17231,x17235),f772(x17233,x17234,x17232,x17235))
% 207.24/207.91 [1724]~E(x17241,x17242)+E(f772(x17243,x17244,x17245,x17241),f772(x17243,x17244,x17245,x17242))
% 207.24/207.91 [1725]~E(x17251,x17252)+E(f648(x17251,x17253,x17254,x17255,x17256),f648(x17252,x17253,x17254,x17255,x17256))
% 207.24/207.91 [1726]~E(x17261,x17262)+E(f648(x17263,x17261,x17264,x17265,x17266),f648(x17263,x17262,x17264,x17265,x17266))
% 207.24/207.91 [1727]~E(x17271,x17272)+E(f648(x17273,x17274,x17271,x17275,x17276),f648(x17273,x17274,x17272,x17275,x17276))
% 207.24/207.91 [1728]~E(x17281,x17282)+E(f648(x17283,x17284,x17285,x17281,x17286),f648(x17283,x17284,x17285,x17282,x17286))
% 207.24/207.91 [1729]~E(x17291,x17292)+E(f648(x17293,x17294,x17295,x17296,x17291),f648(x17293,x17294,x17295,x17296,x17292))
% 207.24/207.91 [1730]~E(x17301,x17302)+E(f640(x17301,x17303,x17304,x17305,x17306,x17307),f640(x17302,x17303,x17304,x17305,x17306,x17307))
% 207.24/207.91 [1731]~E(x17311,x17312)+E(f640(x17313,x17311,x17314,x17315,x17316,x17317),f640(x17313,x17312,x17314,x17315,x17316,x17317))
% 207.24/207.91 [1732]~E(x17321,x17322)+E(f640(x17323,x17324,x17321,x17325,x17326,x17327),f640(x17323,x17324,x17322,x17325,x17326,x17327))
% 207.24/207.91 [1733]~E(x17331,x17332)+E(f640(x17333,x17334,x17335,x17331,x17336,x17337),f640(x17333,x17334,x17335,x17332,x17336,x17337))
% 207.24/207.91 [1734]~E(x17341,x17342)+E(f640(x17343,x17344,x17345,x17346,x17341,x17347),f640(x17343,x17344,x17345,x17346,x17342,x17347))
% 207.24/207.91 [1735]~E(x17351,x17352)+E(f640(x17353,x17354,x17355,x17356,x17357,x17351),f640(x17353,x17354,x17355,x17356,x17357,x17352))
% 207.24/207.91 [1736]~E(x17361,x17362)+E(f578(x17361,x17363,x17364,x17365),f578(x17362,x17363,x17364,x17365))
% 207.24/207.91 [1737]~E(x17371,x17372)+E(f578(x17373,x17371,x17374,x17375),f578(x17373,x17372,x17374,x17375))
% 207.24/207.91 [1738]~E(x17381,x17382)+E(f578(x17383,x17384,x17381,x17385),f578(x17383,x17384,x17382,x17385))
% 207.24/207.91 [1739]~E(x17391,x17392)+E(f578(x17393,x17394,x17395,x17391),f578(x17393,x17394,x17395,x17392))
% 207.24/207.91 [1740]~E(x17401,x17402)+E(f690(x17401,x17403,x17404,x17405,x17406),f690(x17402,x17403,x17404,x17405,x17406))
% 207.24/207.91 [1741]~E(x17411,x17412)+E(f690(x17413,x17411,x17414,x17415,x17416),f690(x17413,x17412,x17414,x17415,x17416))
% 207.24/207.91 [1742]~E(x17421,x17422)+E(f690(x17423,x17424,x17421,x17425,x17426),f690(x17423,x17424,x17422,x17425,x17426))
% 207.24/207.91 [1743]~E(x17431,x17432)+E(f690(x17433,x17434,x17435,x17431,x17436),f690(x17433,x17434,x17435,x17432,x17436))
% 207.24/207.91 [1744]~E(x17441,x17442)+E(f690(x17443,x17444,x17445,x17446,x17441),f690(x17443,x17444,x17445,x17446,x17442))
% 207.24/207.91 [1745]~E(x17451,x17452)+E(f445(x17451,x17453,x17454,x17455),f445(x17452,x17453,x17454,x17455))
% 207.24/207.91 [1746]~E(x17461,x17462)+E(f445(x17463,x17461,x17464,x17465),f445(x17463,x17462,x17464,x17465))
% 207.24/207.91 [1747]~E(x17471,x17472)+E(f445(x17473,x17474,x17471,x17475),f445(x17473,x17474,x17472,x17475))
% 207.24/207.91 [1748]~E(x17481,x17482)+E(f445(x17483,x17484,x17485,x17481),f445(x17483,x17484,x17485,x17482))
% 207.24/207.91 [1749]~E(x17491,x17492)+E(f740(x17491,x17493,x17494,x17495,x17496),f740(x17492,x17493,x17494,x17495,x17496))
% 207.24/207.91 [1750]~E(x17501,x17502)+E(f740(x17503,x17501,x17504,x17505,x17506),f740(x17503,x17502,x17504,x17505,x17506))
% 207.24/207.91 [1751]~E(x17511,x17512)+E(f740(x17513,x17514,x17511,x17515,x17516),f740(x17513,x17514,x17512,x17515,x17516))
% 207.24/207.91 [1752]~E(x17521,x17522)+E(f740(x17523,x17524,x17525,x17521,x17526),f740(x17523,x17524,x17525,x17522,x17526))
% 207.24/207.91 [1753]~E(x17531,x17532)+E(f740(x17533,x17534,x17535,x17536,x17531),f740(x17533,x17534,x17535,x17536,x17532))
% 207.24/207.91 [1754]~E(x17541,x17542)+E(f514(x17541,x17543),f514(x17542,x17543))
% 207.24/207.91 [1755]~E(x17551,x17552)+E(f514(x17553,x17551),f514(x17553,x17552))
% 207.24/207.91 [1756]~E(x17561,x17562)+E(f687(x17561,x17563,x17564),f687(x17562,x17563,x17564))
% 207.24/207.91 [1757]~E(x17571,x17572)+E(f687(x17573,x17571,x17574),f687(x17573,x17572,x17574))
% 207.24/207.91 [1758]~E(x17581,x17582)+E(f687(x17583,x17584,x17581),f687(x17583,x17584,x17582))
% 207.24/207.91 [1759]~E(x17591,x17592)+E(f742(x17591,x17593,x17594,x17595,x17596,x17597,x17598),f742(x17592,x17593,x17594,x17595,x17596,x17597,x17598))
% 207.24/207.91 [1760]~E(x17601,x17602)+E(f742(x17603,x17601,x17604,x17605,x17606,x17607,x17608),f742(x17603,x17602,x17604,x17605,x17606,x17607,x17608))
% 207.24/207.91 [1761]~E(x17611,x17612)+E(f742(x17613,x17614,x17611,x17615,x17616,x17617,x17618),f742(x17613,x17614,x17612,x17615,x17616,x17617,x17618))
% 207.24/207.91 [1762]~E(x17621,x17622)+E(f742(x17623,x17624,x17625,x17621,x17626,x17627,x17628),f742(x17623,x17624,x17625,x17622,x17626,x17627,x17628))
% 207.24/207.91 [1763]~E(x17631,x17632)+E(f742(x17633,x17634,x17635,x17636,x17631,x17637,x17638),f742(x17633,x17634,x17635,x17636,x17632,x17637,x17638))
% 207.24/207.91 [1764]~E(x17641,x17642)+E(f742(x17643,x17644,x17645,x17646,x17647,x17641,x17648),f742(x17643,x17644,x17645,x17646,x17647,x17642,x17648))
% 207.24/207.91 [1765]~E(x17651,x17652)+E(f742(x17653,x17654,x17655,x17656,x17657,x17658,x17651),f742(x17653,x17654,x17655,x17656,x17657,x17658,x17652))
% 207.24/207.91 [1766]~E(x17661,x17662)+E(f691(x17661,x17663,x17664,x17665,x17666),f691(x17662,x17663,x17664,x17665,x17666))
% 207.24/207.91 [1767]~E(x17671,x17672)+E(f691(x17673,x17671,x17674,x17675,x17676),f691(x17673,x17672,x17674,x17675,x17676))
% 207.24/207.91 [1768]~E(x17681,x17682)+E(f691(x17683,x17684,x17681,x17685,x17686),f691(x17683,x17684,x17682,x17685,x17686))
% 207.24/207.91 [1769]~E(x17691,x17692)+E(f691(x17693,x17694,x17695,x17691,x17696),f691(x17693,x17694,x17695,x17692,x17696))
% 207.24/207.91 [1770]~E(x17701,x17702)+E(f691(x17703,x17704,x17705,x17706,x17701),f691(x17703,x17704,x17705,x17706,x17702))
% 207.24/207.91 [1771]~E(x17711,x17712)+E(f353(x17711,x17713,x17714),f353(x17712,x17713,x17714))
% 207.24/207.91 [1772]~E(x17721,x17722)+E(f353(x17723,x17721,x17724),f353(x17723,x17722,x17724))
% 207.24/207.91 [1773]~E(x17731,x17732)+E(f353(x17733,x17734,x17731),f353(x17733,x17734,x17732))
% 207.24/207.91 [1774]~E(x17741,x17742)+E(f345(x17741,x17743,x17744,x17745,x17746),f345(x17742,x17743,x17744,x17745,x17746))
% 207.24/207.91 [1775]~E(x17751,x17752)+E(f345(x17753,x17751,x17754,x17755,x17756),f345(x17753,x17752,x17754,x17755,x17756))
% 207.24/207.91 [1776]~E(x17761,x17762)+E(f345(x17763,x17764,x17761,x17765,x17766),f345(x17763,x17764,x17762,x17765,x17766))
% 207.24/207.91 [1777]~E(x17771,x17772)+E(f345(x17773,x17774,x17775,x17771,x17776),f345(x17773,x17774,x17775,x17772,x17776))
% 207.24/207.91 [1778]~E(x17781,x17782)+E(f345(x17783,x17784,x17785,x17786,x17781),f345(x17783,x17784,x17785,x17786,x17782))
% 207.24/207.91 [1779]~E(x17791,x17792)+E(f705(x17791,x17793),f705(x17792,x17793))
% 207.24/207.91 [1780]~E(x17801,x17802)+E(f705(x17803,x17801),f705(x17803,x17802))
% 207.24/207.91 [1781]~E(x17811,x17812)+E(f342(x17811,x17813,x17814,x17815,x17816),f342(x17812,x17813,x17814,x17815,x17816))
% 207.24/207.91 [1782]~E(x17821,x17822)+E(f342(x17823,x17821,x17824,x17825,x17826),f342(x17823,x17822,x17824,x17825,x17826))
% 207.24/207.91 [1783]~E(x17831,x17832)+E(f342(x17833,x17834,x17831,x17835,x17836),f342(x17833,x17834,x17832,x17835,x17836))
% 207.24/207.91 [1784]~E(x17841,x17842)+E(f342(x17843,x17844,x17845,x17841,x17846),f342(x17843,x17844,x17845,x17842,x17846))
% 207.24/207.91 [1785]~E(x17851,x17852)+E(f342(x17853,x17854,x17855,x17856,x17851),f342(x17853,x17854,x17855,x17856,x17852))
% 207.24/207.91 [1786]~E(x17861,x17862)+E(f717(x17861,x17863,x17864),f717(x17862,x17863,x17864))
% 207.24/207.91 [1787]~E(x17871,x17872)+E(f717(x17873,x17871,x17874),f717(x17873,x17872,x17874))
% 207.24/207.91 [1788]~E(x17881,x17882)+E(f717(x17883,x17884,x17881),f717(x17883,x17884,x17882))
% 207.24/207.91 [1789]~E(x17891,x17892)+E(f840(x17891,x17893,x17894,x17895,x17896,x17897,x17898,x17899),f840(x17892,x17893,x17894,x17895,x17896,x17897,x17898,x17899))
% 207.24/207.91 [1790]~E(x17901,x17902)+E(f840(x17903,x17901,x17904,x17905,x17906,x17907,x17908,x17909),f840(x17903,x17902,x17904,x17905,x17906,x17907,x17908,x17909))
% 207.24/207.91 [1791]~E(x17911,x17912)+E(f840(x17913,x17914,x17911,x17915,x17916,x17917,x17918,x17919),f840(x17913,x17914,x17912,x17915,x17916,x17917,x17918,x17919))
% 207.24/207.91 [1792]~E(x17921,x17922)+E(f840(x17923,x17924,x17925,x17921,x17926,x17927,x17928,x17929),f840(x17923,x17924,x17925,x17922,x17926,x17927,x17928,x17929))
% 207.24/207.91 [1793]~E(x17931,x17932)+E(f840(x17933,x17934,x17935,x17936,x17931,x17937,x17938,x17939),f840(x17933,x17934,x17935,x17936,x17932,x17937,x17938,x17939))
% 207.24/207.91 [1794]~E(x17941,x17942)+E(f840(x17943,x17944,x17945,x17946,x17947,x17941,x17948,x17949),f840(x17943,x17944,x17945,x17946,x17947,x17942,x17948,x17949))
% 207.24/207.91 [1795]~E(x17951,x17952)+E(f840(x17953,x17954,x17955,x17956,x17957,x17958,x17951,x17959),f840(x17953,x17954,x17955,x17956,x17957,x17958,x17952,x17959))
% 207.24/207.91 [1796]~E(x17961,x17962)+E(f840(x17963,x17964,x17965,x17966,x17967,x17968,x17969,x17961),f840(x17963,x17964,x17965,x17966,x17967,x17968,x17969,x17962))
% 207.24/207.91 [1797]~E(x17971,x17972)+E(f491(x17971,x17973),f491(x17972,x17973))
% 207.24/207.91 [1798]~E(x17981,x17982)+E(f491(x17983,x17981),f491(x17983,x17982))
% 207.24/207.91 [1799]~E(x17991,x17992)+E(f669(x17991,x17993,x17994),f669(x17992,x17993,x17994))
% 207.24/207.91 [1800]~E(x18001,x18002)+E(f669(x18003,x18001,x18004),f669(x18003,x18002,x18004))
% 207.24/207.91 [1801]~E(x18011,x18012)+E(f669(x18013,x18014,x18011),f669(x18013,x18014,x18012))
% 207.24/207.91 [1802]~E(x18021,x18022)+E(f424(x18021,x18023,x18024,x18025),f424(x18022,x18023,x18024,x18025))
% 207.24/207.91 [1803]~E(x18031,x18032)+E(f424(x18033,x18031,x18034,x18035),f424(x18033,x18032,x18034,x18035))
% 207.24/207.91 [1804]~E(x18041,x18042)+E(f424(x18043,x18044,x18041,x18045),f424(x18043,x18044,x18042,x18045))
% 207.24/207.91 [1805]~E(x18051,x18052)+E(f424(x18053,x18054,x18055,x18051),f424(x18053,x18054,x18055,x18052))
% 207.24/207.91 [1806]~E(x18061,x18062)+E(f619(x18061,x18063,x18064,x18065,x18066),f619(x18062,x18063,x18064,x18065,x18066))
% 207.24/207.91 [1807]~E(x18071,x18072)+E(f619(x18073,x18071,x18074,x18075,x18076),f619(x18073,x18072,x18074,x18075,x18076))
% 207.24/207.91 [1808]~E(x18081,x18082)+E(f619(x18083,x18084,x18081,x18085,x18086),f619(x18083,x18084,x18082,x18085,x18086))
% 207.24/207.91 [1809]~E(x18091,x18092)+E(f619(x18093,x18094,x18095,x18091,x18096),f619(x18093,x18094,x18095,x18092,x18096))
% 207.24/207.91 [1810]~E(x18101,x18102)+E(f619(x18103,x18104,x18105,x18106,x18101),f619(x18103,x18104,x18105,x18106,x18102))
% 207.24/207.91 [1811]~E(x18111,x18112)+E(f472(x18111,x18113,x18114),f472(x18112,x18113,x18114))
% 207.24/207.91 [1812]~E(x18121,x18122)+E(f472(x18123,x18121,x18124),f472(x18123,x18122,x18124))
% 207.24/207.91 [1813]~E(x18131,x18132)+E(f472(x18133,x18134,x18131),f472(x18133,x18134,x18132))
% 207.24/207.91 [1814]~E(x18141,x18142)+E(f846(x18141,x18143,x18144,x18145,x18146,x18147,x18148,x18149),f846(x18142,x18143,x18144,x18145,x18146,x18147,x18148,x18149))
% 207.24/207.91 [1815]~E(x18151,x18152)+E(f846(x18153,x18151,x18154,x18155,x18156,x18157,x18158,x18159),f846(x18153,x18152,x18154,x18155,x18156,x18157,x18158,x18159))
% 207.24/207.91 [1816]~E(x18161,x18162)+E(f846(x18163,x18164,x18161,x18165,x18166,x18167,x18168,x18169),f846(x18163,x18164,x18162,x18165,x18166,x18167,x18168,x18169))
% 207.24/207.91 [1817]~E(x18171,x18172)+E(f846(x18173,x18174,x18175,x18171,x18176,x18177,x18178,x18179),f846(x18173,x18174,x18175,x18172,x18176,x18177,x18178,x18179))
% 207.24/207.91 [1818]~E(x18181,x18182)+E(f846(x18183,x18184,x18185,x18186,x18181,x18187,x18188,x18189),f846(x18183,x18184,x18185,x18186,x18182,x18187,x18188,x18189))
% 207.24/207.91 [1819]~E(x18191,x18192)+E(f846(x18193,x18194,x18195,x18196,x18197,x18191,x18198,x18199),f846(x18193,x18194,x18195,x18196,x18197,x18192,x18198,x18199))
% 207.24/207.91 [1820]~E(x18201,x18202)+E(f846(x18203,x18204,x18205,x18206,x18207,x18208,x18201,x18209),f846(x18203,x18204,x18205,x18206,x18207,x18208,x18202,x18209))
% 207.24/207.91 [1821]~E(x18211,x18212)+E(f846(x18213,x18214,x18215,x18216,x18217,x18218,x18219,x18211),f846(x18213,x18214,x18215,x18216,x18217,x18218,x18219,x18212))
% 207.24/207.91 [1822]~E(x18221,x18222)+E(f370(x18221,x18223,x18224,x18225),f370(x18222,x18223,x18224,x18225))
% 207.24/207.91 [1823]~E(x18231,x18232)+E(f370(x18233,x18231,x18234,x18235),f370(x18233,x18232,x18234,x18235))
% 207.24/207.91 [1824]~E(x18241,x18242)+E(f370(x18243,x18244,x18241,x18245),f370(x18243,x18244,x18242,x18245))
% 207.24/207.91 [1825]~E(x18251,x18252)+E(f370(x18253,x18254,x18255,x18251),f370(x18253,x18254,x18255,x18252))
% 207.24/207.91 [1826]~E(x18261,x18262)+E(f787(x18261,x18263),f787(x18262,x18263))
% 207.24/207.91 [1827]~E(x18271,x18272)+E(f787(x18273,x18271),f787(x18273,x18272))
% 207.24/207.91 [1828]~E(x18281,x18282)+E(f646(x18281,x18283),f646(x18282,x18283))
% 207.24/207.91 [1829]~E(x18291,x18292)+E(f646(x18293,x18291),f646(x18293,x18292))
% 207.24/207.91 [1830]~E(x18301,x18302)+E(f574(x18301,x18303),f574(x18302,x18303))
% 207.24/207.91 [1831]~E(x18311,x18312)+E(f574(x18313,x18311),f574(x18313,x18312))
% 207.24/207.91 [1832]~E(x18321,x18322)+E(f382(x18321,x18323,x18324,x18325,x18326),f382(x18322,x18323,x18324,x18325,x18326))
% 207.24/207.91 [1833]~E(x18331,x18332)+E(f382(x18333,x18331,x18334,x18335,x18336),f382(x18333,x18332,x18334,x18335,x18336))
% 207.24/207.91 [1834]~E(x18341,x18342)+E(f382(x18343,x18344,x18341,x18345,x18346),f382(x18343,x18344,x18342,x18345,x18346))
% 207.24/207.91 [1835]~E(x18351,x18352)+E(f382(x18353,x18354,x18355,x18351,x18356),f382(x18353,x18354,x18355,x18352,x18356))
% 207.24/207.91 [1836]~E(x18361,x18362)+E(f382(x18363,x18364,x18365,x18366,x18361),f382(x18363,x18364,x18365,x18366,x18362))
% 207.24/207.91 [1837]~E(x18371,x18372)+E(f509(x18371,x18373,x18374,x18375,x18376),f509(x18372,x18373,x18374,x18375,x18376))
% 207.24/207.91 [1838]~E(x18381,x18382)+E(f509(x18383,x18381,x18384,x18385,x18386),f509(x18383,x18382,x18384,x18385,x18386))
% 207.24/207.91 [1839]~E(x18391,x18392)+E(f509(x18393,x18394,x18391,x18395,x18396),f509(x18393,x18394,x18392,x18395,x18396))
% 207.24/207.91 [1840]~E(x18401,x18402)+E(f509(x18403,x18404,x18405,x18401,x18406),f509(x18403,x18404,x18405,x18402,x18406))
% 207.24/207.91 [1841]~E(x18411,x18412)+E(f509(x18413,x18414,x18415,x18416,x18411),f509(x18413,x18414,x18415,x18416,x18412))
% 207.24/207.91 [1842]~E(x18421,x18422)+E(f540(x18421,x18423,x18424,x18425),f540(x18422,x18423,x18424,x18425))
% 207.24/207.91 [1843]~E(x18431,x18432)+E(f540(x18433,x18431,x18434,x18435),f540(x18433,x18432,x18434,x18435))
% 207.24/207.91 [1844]~E(x18441,x18442)+E(f540(x18443,x18444,x18441,x18445),f540(x18443,x18444,x18442,x18445))
% 207.24/207.91 [1845]~E(x18451,x18452)+E(f540(x18453,x18454,x18455,x18451),f540(x18453,x18454,x18455,x18452))
% 207.24/207.91 [1846]~E(x18461,x18462)+E(f298(x18461,x18463,x18464),f298(x18462,x18463,x18464))
% 207.24/207.91 [1847]~E(x18471,x18472)+E(f298(x18473,x18471,x18474),f298(x18473,x18472,x18474))
% 207.24/207.91 [1848]~E(x18481,x18482)+E(f298(x18483,x18484,x18481),f298(x18483,x18484,x18482))
% 207.24/207.91 [1849]~E(x18491,x18492)+E(f496(x18491,x18493,x18494,x18495),f496(x18492,x18493,x18494,x18495))
% 207.24/207.91 [1850]~E(x18501,x18502)+E(f496(x18503,x18501,x18504,x18505),f496(x18503,x18502,x18504,x18505))
% 207.24/207.91 [1851]~E(x18511,x18512)+E(f496(x18513,x18514,x18511,x18515),f496(x18513,x18514,x18512,x18515))
% 207.24/207.91 [1852]~E(x18521,x18522)+E(f496(x18523,x18524,x18525,x18521),f496(x18523,x18524,x18525,x18522))
% 207.24/207.91 [1853]~E(x18531,x18532)+E(f426(x18531,x18533,x18534),f426(x18532,x18533,x18534))
% 207.24/207.91 [1854]~E(x18541,x18542)+E(f426(x18543,x18541,x18544),f426(x18543,x18542,x18544))
% 207.24/207.91 [1855]~E(x18551,x18552)+E(f426(x18553,x18554,x18551),f426(x18553,x18554,x18552))
% 207.24/207.91 [1856]~E(x18561,x18562)+E(f470(x18561,x18563,x18564),f470(x18562,x18563,x18564))
% 207.24/207.91 [1857]~E(x18571,x18572)+E(f470(x18573,x18571,x18574),f470(x18573,x18572,x18574))
% 207.24/207.91 [1858]~E(x18581,x18582)+E(f470(x18583,x18584,x18581),f470(x18583,x18584,x18582))
% 207.24/207.91 [1859]~E(x18591,x18592)+E(f867(x18591,x18593,x18594),f867(x18592,x18593,x18594))
% 207.24/207.91 [1860]~E(x18601,x18602)+E(f867(x18603,x18601,x18604),f867(x18603,x18602,x18604))
% 207.24/207.91 [1861]~E(x18611,x18612)+E(f867(x18613,x18614,x18611),f867(x18613,x18614,x18612))
% 207.24/207.91 [1862]~E(x18621,x18622)+E(f865(x18621,x18623,x18624),f865(x18622,x18623,x18624))
% 207.24/207.91 [1863]~E(x18631,x18632)+E(f865(x18633,x18631,x18634),f865(x18633,x18632,x18634))
% 207.24/207.91 [1864]~E(x18641,x18642)+E(f865(x18643,x18644,x18641),f865(x18643,x18644,x18642))
% 207.24/207.91 [1865]~E(x18651,x18652)+E(f334(x18651),f334(x18652))
% 207.24/207.91 [1866]~E(x18661,x18662)+E(f463(x18661,x18663),f463(x18662,x18663))
% 207.24/207.91 [1867]~E(x18671,x18672)+E(f463(x18673,x18671),f463(x18673,x18672))
% 207.24/207.91 [1868]~E(x18681,x18682)+E(f893(x18681,x18683,x18684,x18685),f893(x18682,x18683,x18684,x18685))
% 207.24/207.91 [1869]~E(x18691,x18692)+E(f893(x18693,x18691,x18694,x18695),f893(x18693,x18692,x18694,x18695))
% 207.24/207.91 [1870]~E(x18701,x18702)+E(f893(x18703,x18704,x18701,x18705),f893(x18703,x18704,x18702,x18705))
% 207.24/207.91 [1871]~E(x18711,x18712)+E(f893(x18713,x18714,x18715,x18711),f893(x18713,x18714,x18715,x18712))
% 207.24/207.91 [1872]~E(x18721,x18722)+E(f853(x18721,x18723,x18724,x18725,x18726,x18727,x18728),f853(x18722,x18723,x18724,x18725,x18726,x18727,x18728))
% 207.24/207.91 [1873]~E(x18731,x18732)+E(f853(x18733,x18731,x18734,x18735,x18736,x18737,x18738),f853(x18733,x18732,x18734,x18735,x18736,x18737,x18738))
% 207.24/207.91 [1874]~E(x18741,x18742)+E(f853(x18743,x18744,x18741,x18745,x18746,x18747,x18748),f853(x18743,x18744,x18742,x18745,x18746,x18747,x18748))
% 207.24/207.91 [1875]~E(x18751,x18752)+E(f853(x18753,x18754,x18755,x18751,x18756,x18757,x18758),f853(x18753,x18754,x18755,x18752,x18756,x18757,x18758))
% 207.24/207.91 [1876]~E(x18761,x18762)+E(f853(x18763,x18764,x18765,x18766,x18761,x18767,x18768),f853(x18763,x18764,x18765,x18766,x18762,x18767,x18768))
% 207.24/207.91 [1877]~E(x18771,x18772)+E(f853(x18773,x18774,x18775,x18776,x18777,x18771,x18778),f853(x18773,x18774,x18775,x18776,x18777,x18772,x18778))
% 207.24/207.91 [1878]~E(x18781,x18782)+E(f853(x18783,x18784,x18785,x18786,x18787,x18788,x18781),f853(x18783,x18784,x18785,x18786,x18787,x18788,x18782))
% 207.24/207.91 [1879]~E(x18791,x18792)+E(f655(x18791,x18793,x18794),f655(x18792,x18793,x18794))
% 207.24/207.91 [1880]~E(x18801,x18802)+E(f655(x18803,x18801,x18804),f655(x18803,x18802,x18804))
% 207.24/207.91 [1881]~E(x18811,x18812)+E(f655(x18813,x18814,x18811),f655(x18813,x18814,x18812))
% 207.24/207.91 [1882]~E(x18821,x18822)+E(f827(x18821,x18823,x18824,x18825),f827(x18822,x18823,x18824,x18825))
% 207.24/207.91 [1883]~E(x18831,x18832)+E(f827(x18833,x18831,x18834,x18835),f827(x18833,x18832,x18834,x18835))
% 207.24/207.91 [1884]~E(x18841,x18842)+E(f827(x18843,x18844,x18841,x18845),f827(x18843,x18844,x18842,x18845))
% 207.24/207.91 [1885]~E(x18851,x18852)+E(f827(x18853,x18854,x18855,x18851),f827(x18853,x18854,x18855,x18852))
% 207.24/207.91 [1886]~E(x18861,x18862)+E(f622(x18861,x18863,x18864,x18865,x18866),f622(x18862,x18863,x18864,x18865,x18866))
% 207.24/207.91 [1887]~E(x18871,x18872)+E(f622(x18873,x18871,x18874,x18875,x18876),f622(x18873,x18872,x18874,x18875,x18876))
% 207.24/207.91 [1888]~E(x18881,x18882)+E(f622(x18883,x18884,x18881,x18885,x18886),f622(x18883,x18884,x18882,x18885,x18886))
% 207.24/207.91 [1889]~E(x18891,x18892)+E(f622(x18893,x18894,x18895,x18891,x18896),f622(x18893,x18894,x18895,x18892,x18896))
% 207.24/207.91 [1890]~E(x18901,x18902)+E(f622(x18903,x18904,x18905,x18906,x18901),f622(x18903,x18904,x18905,x18906,x18902))
% 207.24/207.91 [1891]~E(x18911,x18912)+E(f515(x18911,x18913,x18914),f515(x18912,x18913,x18914))
% 207.24/207.91 [1892]~E(x18921,x18922)+E(f515(x18923,x18921,x18924),f515(x18923,x18922,x18924))
% 207.24/207.91 [1893]~E(x18931,x18932)+E(f515(x18933,x18934,x18931),f515(x18933,x18934,x18932))
% 207.24/207.91 [1894]~E(x18941,x18942)+E(f372(x18941,x18943,x18944),f372(x18942,x18943,x18944))
% 207.24/207.91 [1895]~E(x18951,x18952)+E(f372(x18953,x18951,x18954),f372(x18953,x18952,x18954))
% 207.24/207.91 [1896]~E(x18961,x18962)+E(f372(x18963,x18964,x18961),f372(x18963,x18964,x18962))
% 207.24/207.91 [1897]~E(x18971,x18972)+E(f374(x18971,x18973,x18974,x18975,x18976),f374(x18972,x18973,x18974,x18975,x18976))
% 207.24/207.91 [1898]~E(x18981,x18982)+E(f374(x18983,x18981,x18984,x18985,x18986),f374(x18983,x18982,x18984,x18985,x18986))
% 207.24/207.91 [1899]~E(x18991,x18992)+E(f374(x18993,x18994,x18991,x18995,x18996),f374(x18993,x18994,x18992,x18995,x18996))
% 207.24/207.91 [1900]~E(x19001,x19002)+E(f374(x19003,x19004,x19005,x19001,x19006),f374(x19003,x19004,x19005,x19002,x19006))
% 207.24/207.91 [1901]~E(x19011,x19012)+E(f374(x19013,x19014,x19015,x19016,x19011),f374(x19013,x19014,x19015,x19016,x19012))
% 207.24/207.91 [1902]~E(x19021,x19022)+E(f599(x19021,x19023,x19024),f599(x19022,x19023,x19024))
% 207.24/207.91 [1903]~E(x19031,x19032)+E(f599(x19033,x19031,x19034),f599(x19033,x19032,x19034))
% 207.24/207.91 [1904]~E(x19041,x19042)+E(f599(x19043,x19044,x19041),f599(x19043,x19044,x19042))
% 207.24/207.91 [1905]~E(x19051,x19052)+E(f333(x19051),f333(x19052))
% 207.24/207.91 [1906]~E(x19061,x19062)+E(f229(x19061,x19063),f229(x19062,x19063))
% 207.24/207.91 [1907]~E(x19071,x19072)+E(f229(x19073,x19071),f229(x19073,x19072))
% 207.24/207.91 [1908]~E(x19081,x19082)+E(f681(x19081,x19083,x19084,x19085),f681(x19082,x19083,x19084,x19085))
% 207.24/207.91 [1909]~E(x19091,x19092)+E(f681(x19093,x19091,x19094,x19095),f681(x19093,x19092,x19094,x19095))
% 207.24/207.91 [1910]~E(x19101,x19102)+E(f681(x19103,x19104,x19101,x19105),f681(x19103,x19104,x19102,x19105))
% 207.24/207.91 [1911]~E(x19111,x19112)+E(f681(x19113,x19114,x19115,x19111),f681(x19113,x19114,x19115,x19112))
% 207.24/207.91 [1912]~E(x19121,x19122)+E(f267(x19121),f267(x19122))
% 207.24/207.91 [1913]~E(x19131,x19132)+E(f643(x19131,x19133,x19134,x19135),f643(x19132,x19133,x19134,x19135))
% 207.24/207.91 [1914]~E(x19141,x19142)+E(f643(x19143,x19141,x19144,x19145),f643(x19143,x19142,x19144,x19145))
% 207.24/207.91 [1915]~E(x19151,x19152)+E(f643(x19153,x19154,x19151,x19155),f643(x19153,x19154,x19152,x19155))
% 207.24/207.91 [1916]~E(x19161,x19162)+E(f643(x19163,x19164,x19165,x19161),f643(x19163,x19164,x19165,x19162))
% 207.24/207.91 [1917]~E(x19171,x19172)+E(f788(x19171,x19173),f788(x19172,x19173))
% 207.24/207.91 [1918]~E(x19181,x19182)+E(f788(x19183,x19181),f788(x19183,x19182))
% 207.24/207.91 [1919]~E(x19191,x19192)+E(f584(x19191,x19193,x19194,x19195,x19196,x19197),f584(x19192,x19193,x19194,x19195,x19196,x19197))
% 207.24/207.91 [1920]~E(x19201,x19202)+E(f584(x19203,x19201,x19204,x19205,x19206,x19207),f584(x19203,x19202,x19204,x19205,x19206,x19207))
% 207.24/207.91 [1921]~E(x19211,x19212)+E(f584(x19213,x19214,x19211,x19215,x19216,x19217),f584(x19213,x19214,x19212,x19215,x19216,x19217))
% 207.24/207.91 [1922]~E(x19221,x19222)+E(f584(x19223,x19224,x19225,x19221,x19226,x19227),f584(x19223,x19224,x19225,x19222,x19226,x19227))
% 207.24/207.91 [1923]~E(x19231,x19232)+E(f584(x19233,x19234,x19235,x19236,x19231,x19237),f584(x19233,x19234,x19235,x19236,x19232,x19237))
% 207.24/207.91 [1924]~E(x19241,x19242)+E(f584(x19243,x19244,x19245,x19246,x19247,x19241),f584(x19243,x19244,x19245,x19246,x19247,x19242))
% 207.24/207.91 [1925]~E(x19251,x19252)+E(f583(x19251,x19253,x19254,x19255,x19256,x19257),f583(x19252,x19253,x19254,x19255,x19256,x19257))
% 207.24/207.91 [1926]~E(x19261,x19262)+E(f583(x19263,x19261,x19264,x19265,x19266,x19267),f583(x19263,x19262,x19264,x19265,x19266,x19267))
% 207.24/207.91 [1927]~E(x19271,x19272)+E(f583(x19273,x19274,x19271,x19275,x19276,x19277),f583(x19273,x19274,x19272,x19275,x19276,x19277))
% 207.24/207.91 [1928]~E(x19281,x19282)+E(f583(x19283,x19284,x19285,x19281,x19286,x19287),f583(x19283,x19284,x19285,x19282,x19286,x19287))
% 207.24/207.91 [1929]~E(x19291,x19292)+E(f583(x19293,x19294,x19295,x19296,x19291,x19297),f583(x19293,x19294,x19295,x19296,x19292,x19297))
% 207.24/207.91 [1930]~E(x19301,x19302)+E(f583(x19303,x19304,x19305,x19306,x19307,x19301),f583(x19303,x19304,x19305,x19306,x19307,x19302))
% 207.24/207.91 [1931]~E(x19311,x19312)+E(f492(x19311,x19313,x19314,x19315),f492(x19312,x19313,x19314,x19315))
% 207.24/207.91 [1932]~E(x19321,x19322)+E(f492(x19323,x19321,x19324,x19325),f492(x19323,x19322,x19324,x19325))
% 207.24/207.91 [1933]~E(x19331,x19332)+E(f492(x19333,x19334,x19331,x19335),f492(x19333,x19334,x19332,x19335))
% 207.24/207.91 [1934]~E(x19341,x19342)+E(f492(x19343,x19344,x19345,x19341),f492(x19343,x19344,x19345,x19342))
% 207.24/207.91 [1935]~E(x19351,x19352)+E(f204(x19351,x19353),f204(x19352,x19353))
% 207.24/207.91 [1936]~E(x19361,x19362)+E(f204(x19363,x19361),f204(x19363,x19362))
% 207.24/207.91 [1937]~E(x19371,x19372)+E(f401(x19371,x19373,x19374,x19375,x19376),f401(x19372,x19373,x19374,x19375,x19376))
% 207.24/207.91 [1938]~E(x19381,x19382)+E(f401(x19383,x19381,x19384,x19385,x19386),f401(x19383,x19382,x19384,x19385,x19386))
% 207.24/207.91 [1939]~E(x19391,x19392)+E(f401(x19393,x19394,x19391,x19395,x19396),f401(x19393,x19394,x19392,x19395,x19396))
% 207.24/207.91 [1940]~E(x19401,x19402)+E(f401(x19403,x19404,x19405,x19401,x19406),f401(x19403,x19404,x19405,x19402,x19406))
% 207.24/207.91 [1941]~E(x19411,x19412)+E(f401(x19413,x19414,x19415,x19416,x19411),f401(x19413,x19414,x19415,x19416,x19412))
% 207.24/207.91 [1942]~E(x19421,x19422)+E(f806(x19421,x19423),f806(x19422,x19423))
% 207.24/207.91 [1943]~E(x19431,x19432)+E(f806(x19433,x19431),f806(x19433,x19432))
% 207.24/207.91 [1944]~E(x19441,x19442)+E(f739(x19441,x19443,x19444,x19445,x19446),f739(x19442,x19443,x19444,x19445,x19446))
% 207.24/207.91 [1945]~E(x19451,x19452)+E(f739(x19453,x19451,x19454,x19455,x19456),f739(x19453,x19452,x19454,x19455,x19456))
% 207.24/207.91 [1946]~E(x19461,x19462)+E(f739(x19463,x19464,x19461,x19465,x19466),f739(x19463,x19464,x19462,x19465,x19466))
% 207.24/207.91 [1947]~E(x19471,x19472)+E(f739(x19473,x19474,x19475,x19471,x19476),f739(x19473,x19474,x19475,x19472,x19476))
% 207.24/207.91 [1948]~E(x19481,x19482)+E(f739(x19483,x19484,x19485,x19486,x19481),f739(x19483,x19484,x19485,x19486,x19482))
% 207.24/207.91 [1949]~E(x19491,x19492)+E(f616(x19491,x19493,x19494,x19495,x19496),f616(x19492,x19493,x19494,x19495,x19496))
% 207.24/207.91 [1950]~E(x19501,x19502)+E(f616(x19503,x19501,x19504,x19505,x19506),f616(x19503,x19502,x19504,x19505,x19506))
% 207.24/207.91 [1951]~E(x19511,x19512)+E(f616(x19513,x19514,x19511,x19515,x19516),f616(x19513,x19514,x19512,x19515,x19516))
% 207.24/207.91 [1952]~E(x19521,x19522)+E(f616(x19523,x19524,x19525,x19521,x19526),f616(x19523,x19524,x19525,x19522,x19526))
% 207.24/207.91 [1953]~E(x19531,x19532)+E(f616(x19533,x19534,x19535,x19536,x19531),f616(x19533,x19534,x19535,x19536,x19532))
% 207.24/207.91 [1954]~E(x19541,x19542)+E(f455(x19541,x19543,x19544,x19545,x19546),f455(x19542,x19543,x19544,x19545,x19546))
% 207.24/207.91 [1955]~E(x19551,x19552)+E(f455(x19553,x19551,x19554,x19555,x19556),f455(x19553,x19552,x19554,x19555,x19556))
% 207.24/207.91 [1956]~E(x19561,x19562)+E(f455(x19563,x19564,x19561,x19565,x19566),f455(x19563,x19564,x19562,x19565,x19566))
% 207.24/207.91 [1957]~E(x19571,x19572)+E(f455(x19573,x19574,x19575,x19571,x19576),f455(x19573,x19574,x19575,x19572,x19576))
% 207.24/207.91 [1958]~E(x19581,x19582)+E(f455(x19583,x19584,x19585,x19586,x19581),f455(x19583,x19584,x19585,x19586,x19582))
% 207.24/207.91 [1959]~E(x19591,x19592)+E(f358(x19591,x19593,x19594),f358(x19592,x19593,x19594))
% 207.24/207.91 [1960]~E(x19601,x19602)+E(f358(x19603,x19601,x19604),f358(x19603,x19602,x19604))
% 207.24/207.91 [1961]~E(x19611,x19612)+E(f358(x19613,x19614,x19611),f358(x19613,x19614,x19612))
% 207.24/207.91 [1962]~E(x19621,x19622)+E(f731(x19621,x19623),f731(x19622,x19623))
% 207.24/207.91 [1963]~E(x19631,x19632)+E(f731(x19633,x19631),f731(x19633,x19632))
% 207.24/207.91 [1964]~E(x19641,x19642)+E(f354(x19641,x19643),f354(x19642,x19643))
% 207.24/207.91 [1965]~E(x19651,x19652)+E(f354(x19653,x19651),f354(x19653,x19652))
% 207.24/207.91 [1966]~E(x19661,x19662)+E(f536(x19661,x19663),f536(x19662,x19663))
% 207.24/207.91 [1967]~E(x19671,x19672)+E(f536(x19673,x19671),f536(x19673,x19672))
% 207.24/207.91 [1968]~E(x19681,x19682)+E(f411(x19681,x19683,x19684),f411(x19682,x19683,x19684))
% 207.24/207.91 [1969]~E(x19691,x19692)+E(f411(x19693,x19691,x19694),f411(x19693,x19692,x19694))
% 207.24/207.91 [1970]~E(x19701,x19702)+E(f411(x19703,x19704,x19701),f411(x19703,x19704,x19702))
% 207.24/207.91 [1971]~E(x19711,x19712)+E(f896(x19711,x19713,x19714),f896(x19712,x19713,x19714))
% 207.24/207.91 [1972]~E(x19721,x19722)+E(f896(x19723,x19721,x19724),f896(x19723,x19722,x19724))
% 207.24/207.91 [1973]~E(x19731,x19732)+E(f896(x19733,x19734,x19731),f896(x19733,x19734,x19732))
% 207.24/207.91 [1974]~E(x19741,x19742)+E(f393(x19741,x19743,x19744),f393(x19742,x19743,x19744))
% 207.24/207.91 [1975]~E(x19751,x19752)+E(f393(x19753,x19751,x19754),f393(x19753,x19752,x19754))
% 207.24/207.91 [1976]~E(x19761,x19762)+E(f393(x19763,x19764,x19761),f393(x19763,x19764,x19762))
% 207.24/207.91 [1977]~E(x19771,x19772)+E(f533(x19771,x19773,x19774,x19775,x19776),f533(x19772,x19773,x19774,x19775,x19776))
% 207.24/207.91 [1978]~E(x19781,x19782)+E(f533(x19783,x19781,x19784,x19785,x19786),f533(x19783,x19782,x19784,x19785,x19786))
% 207.24/207.91 [1979]~E(x19791,x19792)+E(f533(x19793,x19794,x19791,x19795,x19796),f533(x19793,x19794,x19792,x19795,x19796))
% 207.24/207.91 [1980]~E(x19801,x19802)+E(f533(x19803,x19804,x19805,x19801,x19806),f533(x19803,x19804,x19805,x19802,x19806))
% 207.24/207.91 [1981]~E(x19811,x19812)+E(f533(x19813,x19814,x19815,x19816,x19811),f533(x19813,x19814,x19815,x19816,x19812))
% 207.24/207.91 [1982]~E(x19821,x19822)+E(f474(x19821,x19823,x19824,x19825),f474(x19822,x19823,x19824,x19825))
% 207.24/207.91 [1983]~E(x19831,x19832)+E(f474(x19833,x19831,x19834,x19835),f474(x19833,x19832,x19834,x19835))
% 207.24/207.91 [1984]~E(x19841,x19842)+E(f474(x19843,x19844,x19841,x19845),f474(x19843,x19844,x19842,x19845))
% 207.24/207.91 [1985]~E(x19851,x19852)+E(f474(x19853,x19854,x19855,x19851),f474(x19853,x19854,x19855,x19852))
% 207.24/207.91 [1986]~E(x19861,x19862)+E(f750(x19861,x19863,x19864),f750(x19862,x19863,x19864))
% 207.24/207.91 [1987]~E(x19871,x19872)+E(f750(x19873,x19871,x19874),f750(x19873,x19872,x19874))
% 207.24/207.91 [1988]~E(x19881,x19882)+E(f750(x19883,x19884,x19881),f750(x19883,x19884,x19882))
% 207.24/207.91 [1989]~E(x19891,x19892)+E(f124(x19891),f124(x19892))
% 207.24/207.91 [1990]~E(x19901,x19902)+E(f43(x19901),f43(x19902))
% 207.24/207.91 [1991]~E(x19911,x19912)+E(f666(x19911,x19913,x19914,x19915),f666(x19912,x19913,x19914,x19915))
% 207.24/207.91 [1992]~E(x19921,x19922)+E(f666(x19923,x19921,x19924,x19925),f666(x19923,x19922,x19924,x19925))
% 207.24/207.91 [1993]~E(x19931,x19932)+E(f666(x19933,x19934,x19931,x19935),f666(x19933,x19934,x19932,x19935))
% 207.24/207.91 [1994]~E(x19941,x19942)+E(f666(x19943,x19944,x19945,x19941),f666(x19943,x19944,x19945,x19942))
% 207.24/207.91 [1995]~E(x19951,x19952)+E(f581(x19951,x19953,x19954,x19955,x19956,x19957),f581(x19952,x19953,x19954,x19955,x19956,x19957))
% 207.24/207.91 [1996]~E(x19961,x19962)+E(f581(x19963,x19961,x19964,x19965,x19966,x19967),f581(x19963,x19962,x19964,x19965,x19966,x19967))
% 207.24/207.91 [1997]~E(x19971,x19972)+E(f581(x19973,x19974,x19971,x19975,x19976,x19977),f581(x19973,x19974,x19972,x19975,x19976,x19977))
% 207.24/207.91 [1998]~E(x19981,x19982)+E(f581(x19983,x19984,x19985,x19981,x19986,x19987),f581(x19983,x19984,x19985,x19982,x19986,x19987))
% 207.24/207.91 [1999]~E(x19991,x19992)+E(f581(x19993,x19994,x19995,x19996,x19991,x19997),f581(x19993,x19994,x19995,x19996,x19992,x19997))
% 207.24/207.91 [2000]~E(x20001,x20002)+E(f581(x20003,x20004,x20005,x20006,x20007,x20001),f581(x20003,x20004,x20005,x20006,x20007,x20002))
% 207.24/207.91 [2001]~E(x20011,x20012)+E(f469(x20011,x20013,x20014,x20015),f469(x20012,x20013,x20014,x20015))
% 207.24/207.91 [2002]~E(x20021,x20022)+E(f469(x20023,x20021,x20024,x20025),f469(x20023,x20022,x20024,x20025))
% 207.24/207.91 [2003]~E(x20031,x20032)+E(f469(x20033,x20034,x20031,x20035),f469(x20033,x20034,x20032,x20035))
% 207.24/207.91 [2004]~E(x20041,x20042)+E(f469(x20043,x20044,x20045,x20041),f469(x20043,x20044,x20045,x20042))
% 207.24/207.91 [2005]~E(x20051,x20052)+E(f594(x20051,x20053,x20054),f594(x20052,x20053,x20054))
% 207.24/207.91 [2006]~E(x20061,x20062)+E(f594(x20063,x20061,x20064),f594(x20063,x20062,x20064))
% 207.24/207.91 [2007]~E(x20071,x20072)+E(f594(x20073,x20074,x20071),f594(x20073,x20074,x20072))
% 207.24/207.91 [2008]~E(x20081,x20082)+E(f683(x20081,x20083,x20084,x20085),f683(x20082,x20083,x20084,x20085))
% 207.24/207.91 [2009]~E(x20091,x20092)+E(f683(x20093,x20091,x20094,x20095),f683(x20093,x20092,x20094,x20095))
% 207.24/207.91 [2010]~E(x20101,x20102)+E(f683(x20103,x20104,x20101,x20105),f683(x20103,x20104,x20102,x20105))
% 207.24/207.91 [2011]~E(x20111,x20112)+E(f683(x20113,x20114,x20115,x20111),f683(x20113,x20114,x20115,x20112))
% 207.24/207.91 [2012]~E(x20121,x20122)+E(f836(x20121,x20123,x20124,x20125,x20126,x20127,x20128,x20129),f836(x20122,x20123,x20124,x20125,x20126,x20127,x20128,x20129))
% 207.24/207.91 [2013]~E(x20131,x20132)+E(f836(x20133,x20131,x20134,x20135,x20136,x20137,x20138,x20139),f836(x20133,x20132,x20134,x20135,x20136,x20137,x20138,x20139))
% 207.24/207.91 [2014]~E(x20141,x20142)+E(f836(x20143,x20144,x20141,x20145,x20146,x20147,x20148,x20149),f836(x20143,x20144,x20142,x20145,x20146,x20147,x20148,x20149))
% 207.24/207.91 [2015]~E(x20151,x20152)+E(f836(x20153,x20154,x20155,x20151,x20156,x20157,x20158,x20159),f836(x20153,x20154,x20155,x20152,x20156,x20157,x20158,x20159))
% 207.24/207.91 [2016]~E(x20161,x20162)+E(f836(x20163,x20164,x20165,x20166,x20161,x20167,x20168,x20169),f836(x20163,x20164,x20165,x20166,x20162,x20167,x20168,x20169))
% 207.24/207.91 [2017]~E(x20171,x20172)+E(f836(x20173,x20174,x20175,x20176,x20177,x20171,x20178,x20179),f836(x20173,x20174,x20175,x20176,x20177,x20172,x20178,x20179))
% 207.24/207.91 [2018]~E(x20181,x20182)+E(f836(x20183,x20184,x20185,x20186,x20187,x20188,x20181,x20189),f836(x20183,x20184,x20185,x20186,x20187,x20188,x20182,x20189))
% 207.24/207.91 [2019]~E(x20191,x20192)+E(f836(x20193,x20194,x20195,x20196,x20197,x20198,x20199,x20191),f836(x20193,x20194,x20195,x20196,x20197,x20198,x20199,x20192))
% 207.24/207.91 [2020]~E(x20201,x20202)+E(f528(x20201,x20203,x20204),f528(x20202,x20203,x20204))
% 207.24/207.91 [2021]~E(x20211,x20212)+E(f528(x20213,x20211,x20214),f528(x20213,x20212,x20214))
% 207.24/207.91 [2022]~E(x20221,x20222)+E(f528(x20223,x20224,x20221),f528(x20223,x20224,x20222))
% 207.24/207.91 [2023]~E(x20231,x20232)+E(f897(x20231,x20233,x20234,x20235,x20236,x20237),f897(x20232,x20233,x20234,x20235,x20236,x20237))
% 207.24/207.91 [2024]~E(x20241,x20242)+E(f897(x20243,x20241,x20244,x20245,x20246,x20247),f897(x20243,x20242,x20244,x20245,x20246,x20247))
% 207.24/207.91 [2025]~E(x20251,x20252)+E(f897(x20253,x20254,x20251,x20255,x20256,x20257),f897(x20253,x20254,x20252,x20255,x20256,x20257))
% 207.24/207.91 [2026]~E(x20261,x20262)+E(f897(x20263,x20264,x20265,x20261,x20266,x20267),f897(x20263,x20264,x20265,x20262,x20266,x20267))
% 207.24/207.91 [2027]~E(x20271,x20272)+E(f897(x20273,x20274,x20275,x20276,x20271,x20277),f897(x20273,x20274,x20275,x20276,x20272,x20277))
% 207.24/207.91 [2028]~E(x20281,x20282)+E(f897(x20283,x20284,x20285,x20286,x20287,x20281),f897(x20283,x20284,x20285,x20286,x20287,x20282))
% 207.24/207.91 [2029]~E(x20291,x20292)+E(f344(x20291,x20293,x20294,x20295,x20296),f344(x20292,x20293,x20294,x20295,x20296))
% 207.24/207.91 [2030]~E(x20301,x20302)+E(f344(x20303,x20301,x20304,x20305,x20306),f344(x20303,x20302,x20304,x20305,x20306))
% 207.24/207.91 [2031]~E(x20311,x20312)+E(f344(x20313,x20314,x20311,x20315,x20316),f344(x20313,x20314,x20312,x20315,x20316))
% 207.24/207.91 [2032]~E(x20321,x20322)+E(f344(x20323,x20324,x20325,x20321,x20326),f344(x20323,x20324,x20325,x20322,x20326))
% 207.24/207.91 [2033]~E(x20331,x20332)+E(f344(x20333,x20334,x20335,x20336,x20331),f344(x20333,x20334,x20335,x20336,x20332))
% 207.24/207.91 [2034]~E(x20341,x20342)+E(f677(x20341,x20343,x20344,x20345,x20346),f677(x20342,x20343,x20344,x20345,x20346))
% 207.24/207.91 [2035]~E(x20351,x20352)+E(f677(x20353,x20351,x20354,x20355,x20356),f677(x20353,x20352,x20354,x20355,x20356))
% 207.24/207.91 [2036]~E(x20361,x20362)+E(f677(x20363,x20364,x20361,x20365,x20366),f677(x20363,x20364,x20362,x20365,x20366))
% 207.24/207.91 [2037]~E(x20371,x20372)+E(f677(x20373,x20374,x20375,x20371,x20376),f677(x20373,x20374,x20375,x20372,x20376))
% 207.24/207.91 [2038]~E(x20381,x20382)+E(f677(x20383,x20384,x20385,x20386,x20381),f677(x20383,x20384,x20385,x20386,x20382))
% 207.24/207.91 [2039]~E(x20391,x20392)+E(f359(x20391,x20393,x20394,x20395,x20396),f359(x20392,x20393,x20394,x20395,x20396))
% 207.24/207.91 [2040]~E(x20401,x20402)+E(f359(x20403,x20401,x20404,x20405,x20406),f359(x20403,x20402,x20404,x20405,x20406))
% 207.24/207.91 [2041]~E(x20411,x20412)+E(f359(x20413,x20414,x20411,x20415,x20416),f359(x20413,x20414,x20412,x20415,x20416))
% 207.24/207.91 [2042]~E(x20421,x20422)+E(f359(x20423,x20424,x20425,x20421,x20426),f359(x20423,x20424,x20425,x20422,x20426))
% 207.24/207.91 [2043]~E(x20431,x20432)+E(f359(x20433,x20434,x20435,x20436,x20431),f359(x20433,x20434,x20435,x20436,x20432))
% 207.24/207.91 [2044]~E(x20441,x20442)+E(f413(x20441,x20443,x20444,x20445,x20446),f413(x20442,x20443,x20444,x20445,x20446))
% 207.24/207.91 [2045]~E(x20451,x20452)+E(f413(x20453,x20451,x20454,x20455,x20456),f413(x20453,x20452,x20454,x20455,x20456))
% 207.24/207.91 [2046]~E(x20461,x20462)+E(f413(x20463,x20464,x20461,x20465,x20466),f413(x20463,x20464,x20462,x20465,x20466))
% 207.24/207.91 [2047]~E(x20471,x20472)+E(f413(x20473,x20474,x20475,x20471,x20476),f413(x20473,x20474,x20475,x20472,x20476))
% 207.24/207.91 [2048]~E(x20481,x20482)+E(f413(x20483,x20484,x20485,x20486,x20481),f413(x20483,x20484,x20485,x20486,x20482))
% 207.24/207.91 [2049]~E(x20491,x20492)+E(f495(x20491,x20493,x20494,x20495,x20496,x20497),f495(x20492,x20493,x20494,x20495,x20496,x20497))
% 207.24/207.91 [2050]~E(x20501,x20502)+E(f495(x20503,x20501,x20504,x20505,x20506,x20507),f495(x20503,x20502,x20504,x20505,x20506,x20507))
% 207.24/207.91 [2051]~E(x20511,x20512)+E(f495(x20513,x20514,x20511,x20515,x20516,x20517),f495(x20513,x20514,x20512,x20515,x20516,x20517))
% 207.24/207.91 [2052]~E(x20521,x20522)+E(f495(x20523,x20524,x20525,x20521,x20526,x20527),f495(x20523,x20524,x20525,x20522,x20526,x20527))
% 207.24/207.91 [2053]~E(x20531,x20532)+E(f495(x20533,x20534,x20535,x20536,x20531,x20537),f495(x20533,x20534,x20535,x20536,x20532,x20537))
% 207.24/207.91 [2054]~E(x20541,x20542)+E(f495(x20543,x20544,x20545,x20546,x20547,x20541),f495(x20543,x20544,x20545,x20546,x20547,x20542))
% 207.24/207.91 [2055]~E(x20551,x20552)+E(f884(x20551,x20553),f884(x20552,x20553))
% 207.24/207.91 [2056]~E(x20561,x20562)+E(f884(x20563,x20561),f884(x20563,x20562))
% 207.24/207.91 [2057]~E(x20571,x20572)+E(f607(x20571,x20573),f607(x20572,x20573))
% 207.24/207.91 [2058]~E(x20581,x20582)+E(f607(x20583,x20581),f607(x20583,x20582))
% 207.24/207.91 [2059]~E(x20591,x20592)+E(f791(x20591,x20593,x20594),f791(x20592,x20593,x20594))
% 207.24/207.91 [2060]~E(x20601,x20602)+E(f791(x20603,x20601,x20604),f791(x20603,x20602,x20604))
% 207.24/207.91 [2061]~E(x20611,x20612)+E(f791(x20613,x20614,x20611),f791(x20613,x20614,x20612))
% 207.24/207.91 [2062]~E(x20621,x20622)+E(f877(x20621,x20623,x20624,x20625,x20626),f877(x20622,x20623,x20624,x20625,x20626))
% 207.24/207.91 [2063]~E(x20631,x20632)+E(f877(x20633,x20631,x20634,x20635,x20636),f877(x20633,x20632,x20634,x20635,x20636))
% 207.24/207.91 [2064]~E(x20641,x20642)+E(f877(x20643,x20644,x20641,x20645,x20646),f877(x20643,x20644,x20642,x20645,x20646))
% 207.24/207.91 [2065]~E(x20651,x20652)+E(f877(x20653,x20654,x20655,x20651,x20656),f877(x20653,x20654,x20655,x20652,x20656))
% 207.24/207.91 [2066]~E(x20661,x20662)+E(f877(x20663,x20664,x20665,x20666,x20661),f877(x20663,x20664,x20665,x20666,x20662))
% 207.24/207.91 [2067]~E(x20671,x20672)+E(f369(x20671,x20673,x20674),f369(x20672,x20673,x20674))
% 207.24/207.91 [2068]~E(x20681,x20682)+E(f369(x20683,x20681,x20684),f369(x20683,x20682,x20684))
% 207.24/207.91 [2069]~E(x20691,x20692)+E(f369(x20693,x20694,x20691),f369(x20693,x20694,x20692))
% 207.24/207.91 [2070]~E(x20701,x20702)+E(f537(x20701,x20703,x20704),f537(x20702,x20703,x20704))
% 207.24/207.91 [2071]~E(x20711,x20712)+E(f537(x20713,x20711,x20714),f537(x20713,x20712,x20714))
% 207.24/207.91 [2072]~E(x20721,x20722)+E(f537(x20723,x20724,x20721),f537(x20723,x20724,x20722))
% 207.24/207.91 [2073]~E(x20731,x20732)+E(f549(x20731,x20733,x20734,x20735),f549(x20732,x20733,x20734,x20735))
% 207.24/207.91 [2074]~E(x20741,x20742)+E(f549(x20743,x20741,x20744,x20745),f549(x20743,x20742,x20744,x20745))
% 207.24/207.91 [2075]~E(x20751,x20752)+E(f549(x20753,x20754,x20751,x20755),f549(x20753,x20754,x20752,x20755))
% 207.24/207.91 [2076]~E(x20761,x20762)+E(f549(x20763,x20764,x20765,x20761),f549(x20763,x20764,x20765,x20762))
% 207.24/207.91 [2077]~E(x20771,x20772)+E(f484(x20771,x20773,x20774,x20775,x20776,x20777),f484(x20772,x20773,x20774,x20775,x20776,x20777))
% 207.24/207.91 [2078]~E(x20781,x20782)+E(f484(x20783,x20781,x20784,x20785,x20786,x20787),f484(x20783,x20782,x20784,x20785,x20786,x20787))
% 207.24/207.91 [2079]~E(x20791,x20792)+E(f484(x20793,x20794,x20791,x20795,x20796,x20797),f484(x20793,x20794,x20792,x20795,x20796,x20797))
% 207.24/207.91 [2080]~E(x20801,x20802)+E(f484(x20803,x20804,x20805,x20801,x20806,x20807),f484(x20803,x20804,x20805,x20802,x20806,x20807))
% 207.24/207.91 [2081]~E(x20811,x20812)+E(f484(x20813,x20814,x20815,x20816,x20811,x20817),f484(x20813,x20814,x20815,x20816,x20812,x20817))
% 207.24/207.91 [2082]~E(x20821,x20822)+E(f484(x20823,x20824,x20825,x20826,x20827,x20821),f484(x20823,x20824,x20825,x20826,x20827,x20822))
% 207.24/207.91 [2083]~E(x20831,x20832)+E(f402(x20831,x20833,x20834),f402(x20832,x20833,x20834))
% 207.24/207.91 [2084]~E(x20841,x20842)+E(f402(x20843,x20841,x20844),f402(x20843,x20842,x20844))
% 207.24/207.91 [2085]~E(x20851,x20852)+E(f402(x20853,x20854,x20851),f402(x20853,x20854,x20852))
% 207.24/207.91 [2086]~E(x20861,x20862)+E(f638(x20861,x20863,x20864,x20865,x20866,x20867),f638(x20862,x20863,x20864,x20865,x20866,x20867))
% 207.24/207.91 [2087]~E(x20871,x20872)+E(f638(x20873,x20871,x20874,x20875,x20876,x20877),f638(x20873,x20872,x20874,x20875,x20876,x20877))
% 207.24/207.91 [2088]~E(x20881,x20882)+E(f638(x20883,x20884,x20881,x20885,x20886,x20887),f638(x20883,x20884,x20882,x20885,x20886,x20887))
% 207.24/207.91 [2089]~E(x20891,x20892)+E(f638(x20893,x20894,x20895,x20891,x20896,x20897),f638(x20893,x20894,x20895,x20892,x20896,x20897))
% 207.24/207.91 [2090]~E(x20901,x20902)+E(f638(x20903,x20904,x20905,x20906,x20901,x20907),f638(x20903,x20904,x20905,x20906,x20902,x20907))
% 207.24/207.91 [2091]~E(x20911,x20912)+E(f638(x20913,x20914,x20915,x20916,x20917,x20911),f638(x20913,x20914,x20915,x20916,x20917,x20912))
% 207.24/207.91 [2092]~E(x20921,x20922)+E(f653(x20921,x20923,x20924),f653(x20922,x20923,x20924))
% 207.24/207.91 [2093]~E(x20931,x20932)+E(f653(x20933,x20931,x20934),f653(x20933,x20932,x20934))
% 207.24/207.91 [2094]~E(x20941,x20942)+E(f653(x20943,x20944,x20941),f653(x20943,x20944,x20942))
% 207.24/207.91 [2095]~E(x20951,x20952)+E(f589(x20951,x20953,x20954,x20955,x20956),f589(x20952,x20953,x20954,x20955,x20956))
% 207.24/207.91 [2096]~E(x20961,x20962)+E(f589(x20963,x20961,x20964,x20965,x20966),f589(x20963,x20962,x20964,x20965,x20966))
% 207.24/207.91 [2097]~E(x20971,x20972)+E(f589(x20973,x20974,x20971,x20975,x20976),f589(x20973,x20974,x20972,x20975,x20976))
% 207.24/207.91 [2098]~E(x20981,x20982)+E(f589(x20983,x20984,x20985,x20981,x20986),f589(x20983,x20984,x20985,x20982,x20986))
% 207.24/207.91 [2099]~E(x20991,x20992)+E(f589(x20993,x20994,x20995,x20996,x20991),f589(x20993,x20994,x20995,x20996,x20992))
% 207.24/207.91 [2100]~E(x21001,x21002)+E(f757(x21001,x21003,x21004),f757(x21002,x21003,x21004))
% 207.24/207.91 [2101]~E(x21011,x21012)+E(f757(x21013,x21011,x21014),f757(x21013,x21012,x21014))
% 207.24/207.91 [2102]~E(x21021,x21022)+E(f757(x21023,x21024,x21021),f757(x21023,x21024,x21022))
% 207.24/207.91 [2103]~E(x21031,x21032)+E(f903(x21031,x21033,x21034,x21035,x21036),f903(x21032,x21033,x21034,x21035,x21036))
% 207.24/207.91 [2104]~E(x21041,x21042)+E(f903(x21043,x21041,x21044,x21045,x21046),f903(x21043,x21042,x21044,x21045,x21046))
% 207.24/207.91 [2105]~E(x21051,x21052)+E(f903(x21053,x21054,x21051,x21055,x21056),f903(x21053,x21054,x21052,x21055,x21056))
% 207.24/207.91 [2106]~E(x21061,x21062)+E(f903(x21063,x21064,x21065,x21061,x21066),f903(x21063,x21064,x21065,x21062,x21066))
% 207.24/207.91 [2107]~E(x21071,x21072)+E(f903(x21073,x21074,x21075,x21076,x21071),f903(x21073,x21074,x21075,x21076,x21072))
% 207.24/207.91 [2108]~E(x21081,x21082)+E(f862(x21081,x21083,x21084),f862(x21082,x21083,x21084))
% 207.24/207.91 [2109]~E(x21091,x21092)+E(f862(x21093,x21091,x21094),f862(x21093,x21092,x21094))
% 207.24/207.91 [2110]~E(x21101,x21102)+E(f862(x21103,x21104,x21101),f862(x21103,x21104,x21102))
% 207.24/207.91 [2111]~E(x21111,x21112)+E(f261(x21111,x21113,x21114,x21115,x21116),f261(x21112,x21113,x21114,x21115,x21116))
% 207.24/207.91 [2112]~E(x21121,x21122)+E(f261(x21123,x21121,x21124,x21125,x21126),f261(x21123,x21122,x21124,x21125,x21126))
% 207.24/207.91 [2113]~E(x21131,x21132)+E(f261(x21133,x21134,x21131,x21135,x21136),f261(x21133,x21134,x21132,x21135,x21136))
% 207.24/207.91 [2114]~E(x21141,x21142)+E(f261(x21143,x21144,x21145,x21141,x21146),f261(x21143,x21144,x21145,x21142,x21146))
% 207.24/207.91 [2115]~E(x21151,x21152)+E(f261(x21153,x21154,x21155,x21156,x21151),f261(x21153,x21154,x21155,x21156,x21152))
% 207.24/207.91 [2116]~E(x21161,x21162)+E(f624(x21161,x21163,x21164,x21165,x21166),f624(x21162,x21163,x21164,x21165,x21166))
% 207.24/207.91 [2117]~E(x21171,x21172)+E(f624(x21173,x21171,x21174,x21175,x21176),f624(x21173,x21172,x21174,x21175,x21176))
% 207.24/207.91 [2118]~E(x21181,x21182)+E(f624(x21183,x21184,x21181,x21185,x21186),f624(x21183,x21184,x21182,x21185,x21186))
% 207.24/207.91 [2119]~E(x21191,x21192)+E(f624(x21193,x21194,x21195,x21191,x21196),f624(x21193,x21194,x21195,x21192,x21196))
% 207.24/207.91 [2120]~E(x21201,x21202)+E(f624(x21203,x21204,x21205,x21206,x21201),f624(x21203,x21204,x21205,x21206,x21202))
% 207.24/207.91 [2121]~E(x21211,x21212)+E(f842(x21211,x21213,x21214,x21215,x21216,x21217,x21218),f842(x21212,x21213,x21214,x21215,x21216,x21217,x21218))
% 207.24/207.91 [2122]~E(x21221,x21222)+E(f842(x21223,x21221,x21224,x21225,x21226,x21227,x21228),f842(x21223,x21222,x21224,x21225,x21226,x21227,x21228))
% 207.24/207.91 [2123]~E(x21231,x21232)+E(f842(x21233,x21234,x21231,x21235,x21236,x21237,x21238),f842(x21233,x21234,x21232,x21235,x21236,x21237,x21238))
% 207.24/207.91 [2124]~E(x21241,x21242)+E(f842(x21243,x21244,x21245,x21241,x21246,x21247,x21248),f842(x21243,x21244,x21245,x21242,x21246,x21247,x21248))
% 207.24/207.91 [2125]~E(x21251,x21252)+E(f842(x21253,x21254,x21255,x21256,x21251,x21257,x21258),f842(x21253,x21254,x21255,x21256,x21252,x21257,x21258))
% 207.24/207.91 [2126]~E(x21261,x21262)+E(f842(x21263,x21264,x21265,x21266,x21267,x21261,x21268),f842(x21263,x21264,x21265,x21266,x21267,x21262,x21268))
% 207.24/207.91 [2127]~E(x21271,x21272)+E(f842(x21273,x21274,x21275,x21276,x21277,x21278,x21271),f842(x21273,x21274,x21275,x21276,x21277,x21278,x21272))
% 207.24/207.91 [2128]~E(x21281,x21282)+E(f852(x21281,x21283,x21284),f852(x21282,x21283,x21284))
% 207.24/207.91 [2129]~E(x21291,x21292)+E(f852(x21293,x21291,x21294),f852(x21293,x21292,x21294))
% 207.24/207.91 [2130]~E(x21301,x21302)+E(f852(x21303,x21304,x21301),f852(x21303,x21304,x21302))
% 207.24/207.91 [2131]~E(x21311,x21312)+E(f749(x21311,x21313,x21314),f749(x21312,x21313,x21314))
% 207.24/207.91 [2132]~E(x21321,x21322)+E(f749(x21323,x21321,x21324),f749(x21323,x21322,x21324))
% 207.24/207.91 [2133]~E(x21331,x21332)+E(f749(x21333,x21334,x21331),f749(x21333,x21334,x21332))
% 207.24/207.91 [2134]~E(x21341,x21342)+E(f711(x21341,x21343,x21344),f711(x21342,x21343,x21344))
% 207.24/207.91 [2135]~E(x21351,x21352)+E(f711(x21353,x21351,x21354),f711(x21353,x21352,x21354))
% 207.24/207.91 [2136]~E(x21361,x21362)+E(f711(x21363,x21364,x21361),f711(x21363,x21364,x21362))
% 207.24/207.91 [2137]~E(x21371,x21372)+E(f339(x21371,x21373,x21374),f339(x21372,x21373,x21374))
% 207.24/207.91 [2138]~E(x21381,x21382)+E(f339(x21383,x21381,x21384),f339(x21383,x21382,x21384))
% 207.24/207.91 [2139]~E(x21391,x21392)+E(f339(x21393,x21394,x21391),f339(x21393,x21394,x21392))
% 207.24/207.91 [2140]~E(x21401,x21402)+E(f569(x21401,x21403,x21404),f569(x21402,x21403,x21404))
% 207.24/207.91 [2141]~E(x21411,x21412)+E(f569(x21413,x21411,x21414),f569(x21413,x21412,x21414))
% 207.24/207.91 [2142]~E(x21421,x21422)+E(f569(x21423,x21424,x21421),f569(x21423,x21424,x21422))
% 207.24/207.91 [2143]~E(x21431,x21432)+E(f592(x21431,x21433,x21434,x21435,x21436,x21437),f592(x21432,x21433,x21434,x21435,x21436,x21437))
% 207.24/207.91 [2144]~E(x21441,x21442)+E(f592(x21443,x21441,x21444,x21445,x21446,x21447),f592(x21443,x21442,x21444,x21445,x21446,x21447))
% 207.24/207.91 [2145]~E(x21451,x21452)+E(f592(x21453,x21454,x21451,x21455,x21456,x21457),f592(x21453,x21454,x21452,x21455,x21456,x21457))
% 207.24/207.91 [2146]~E(x21461,x21462)+E(f592(x21463,x21464,x21465,x21461,x21466,x21467),f592(x21463,x21464,x21465,x21462,x21466,x21467))
% 207.24/207.91 [2147]~E(x21471,x21472)+E(f592(x21473,x21474,x21475,x21476,x21471,x21477),f592(x21473,x21474,x21475,x21476,x21472,x21477))
% 207.24/207.91 [2148]~E(x21481,x21482)+E(f592(x21483,x21484,x21485,x21486,x21487,x21481),f592(x21483,x21484,x21485,x21486,x21487,x21482))
% 207.24/207.91 [2149]~E(x21491,x21492)+E(f493(x21491,x21493,x21494,x21495,x21496,x21497),f493(x21492,x21493,x21494,x21495,x21496,x21497))
% 207.24/207.91 [2150]~E(x21501,x21502)+E(f493(x21503,x21501,x21504,x21505,x21506,x21507),f493(x21503,x21502,x21504,x21505,x21506,x21507))
% 207.24/207.91 [2151]~E(x21511,x21512)+E(f493(x21513,x21514,x21511,x21515,x21516,x21517),f493(x21513,x21514,x21512,x21515,x21516,x21517))
% 207.24/207.91 [2152]~E(x21521,x21522)+E(f493(x21523,x21524,x21525,x21521,x21526,x21527),f493(x21523,x21524,x21525,x21522,x21526,x21527))
% 207.24/207.91 [2153]~E(x21531,x21532)+E(f493(x21533,x21534,x21535,x21536,x21531,x21537),f493(x21533,x21534,x21535,x21536,x21532,x21537))
% 207.24/207.91 [2154]~E(x21541,x21542)+E(f493(x21543,x21544,x21545,x21546,x21547,x21541),f493(x21543,x21544,x21545,x21546,x21547,x21542))
% 207.24/207.91 [2155]~E(x21551,x21552)+E(f535(x21551,x21553),f535(x21552,x21553))
% 207.24/207.91 [2156]~E(x21561,x21562)+E(f535(x21563,x21561),f535(x21563,x21562))
% 207.24/207.91 [2157]~E(x21571,x21572)+E(f224(x21571,x21573,x21574),f224(x21572,x21573,x21574))
% 207.24/207.91 [2158]~E(x21581,x21582)+E(f224(x21583,x21581,x21584),f224(x21583,x21582,x21584))
% 207.24/207.91 [2159]~E(x21591,x21592)+E(f224(x21593,x21594,x21591),f224(x21593,x21594,x21592))
% 207.24/207.91 [2160]~E(x21601,x21602)+E(f541(x21601,x21603),f541(x21602,x21603))
% 207.24/207.91 [2161]~E(x21611,x21612)+E(f541(x21613,x21611),f541(x21613,x21612))
% 207.24/207.91 [2162]~E(x21621,x21622)+E(f620(x21621,x21623,x21624,x21625,x21626),f620(x21622,x21623,x21624,x21625,x21626))
% 207.24/207.91 [2163]~E(x21631,x21632)+E(f620(x21633,x21631,x21634,x21635,x21636),f620(x21633,x21632,x21634,x21635,x21636))
% 207.24/207.91 [2164]~E(x21641,x21642)+E(f620(x21643,x21644,x21641,x21645,x21646),f620(x21643,x21644,x21642,x21645,x21646))
% 207.24/207.91 [2165]~E(x21651,x21652)+E(f620(x21653,x21654,x21655,x21651,x21656),f620(x21653,x21654,x21655,x21652,x21656))
% 207.24/207.91 [2166]~E(x21661,x21662)+E(f620(x21663,x21664,x21665,x21666,x21661),f620(x21663,x21664,x21665,x21666,x21662))
% 207.24/207.91 [2167]~E(x21671,x21672)+E(f796(x21671),f796(x21672))
% 207.24/207.91 [2168]~E(x21681,x21682)+E(f385(x21681),f385(x21682))
% 207.24/207.91 [2169]~E(x21691,x21692)+E(f410(x21691,x21693),f410(x21692,x21693))
% 207.24/207.91 [2170]~E(x21701,x21702)+E(f410(x21703,x21701),f410(x21703,x21702))
% 207.24/207.91 [2171]~E(x21711,x21712)+E(f825(x21711,x21713,x21714,x21715),f825(x21712,x21713,x21714,x21715))
% 207.24/207.91 [2172]~E(x21721,x21722)+E(f825(x21723,x21721,x21724,x21725),f825(x21723,x21722,x21724,x21725))
% 207.24/207.91 [2173]~E(x21731,x21732)+E(f825(x21733,x21734,x21731,x21735),f825(x21733,x21734,x21732,x21735))
% 207.24/207.91 [2174]~E(x21741,x21742)+E(f825(x21743,x21744,x21745,x21741),f825(x21743,x21744,x21745,x21742))
% 207.24/207.91 [2175]~E(x21751,x21752)+E(f634(x21751,x21753),f634(x21752,x21753))
% 207.24/207.91 [2176]~E(x21761,x21762)+E(f634(x21763,x21761),f634(x21763,x21762))
% 207.24/207.91 [2177]~E(x21771,x21772)+E(f212(x21771,x21773,x21774,x21775),f212(x21772,x21773,x21774,x21775))
% 207.24/207.91 [2178]~E(x21781,x21782)+E(f212(x21783,x21781,x21784,x21785),f212(x21783,x21782,x21784,x21785))
% 207.24/207.91 [2179]~E(x21791,x21792)+E(f212(x21793,x21794,x21791,x21795),f212(x21793,x21794,x21792,x21795))
% 207.24/207.91 [2180]~E(x21801,x21802)+E(f212(x21803,x21804,x21805,x21801),f212(x21803,x21804,x21805,x21802))
% 207.24/207.91 [2181]~E(x21811,x21812)+E(f494(x21811,x21813,x21814,x21815),f494(x21812,x21813,x21814,x21815))
% 207.24/207.91 [2182]~E(x21821,x21822)+E(f494(x21823,x21821,x21824,x21825),f494(x21823,x21822,x21824,x21825))
% 207.24/207.91 [2183]~E(x21831,x21832)+E(f494(x21833,x21834,x21831,x21835),f494(x21833,x21834,x21832,x21835))
% 207.24/207.91 [2184]~E(x21841,x21842)+E(f494(x21843,x21844,x21845,x21841),f494(x21843,x21844,x21845,x21842))
% 207.24/207.91 [2185]~E(x21851,x21852)+E(f95(x21851,x21853,x21854,x21855),f95(x21852,x21853,x21854,x21855))
% 207.24/207.91 [2186]~E(x21861,x21862)+E(f95(x21863,x21861,x21864,x21865),f95(x21863,x21862,x21864,x21865))
% 207.24/207.91 [2187]~E(x21871,x21872)+E(f95(x21873,x21874,x21871,x21875),f95(x21873,x21874,x21872,x21875))
% 207.24/207.91 [2188]~E(x21881,x21882)+E(f95(x21883,x21884,x21885,x21881),f95(x21883,x21884,x21885,x21882))
% 207.24/207.91 [2189]~E(x21891,x21892)+E(f337(x21891),f337(x21892))
% 207.24/207.91 [2190]~E(x21901,x21902)+E(f356(x21901,x21903,x21904,x21905,x21906),f356(x21902,x21903,x21904,x21905,x21906))
% 207.24/207.91 [2191]~E(x21911,x21912)+E(f356(x21913,x21911,x21914,x21915,x21916),f356(x21913,x21912,x21914,x21915,x21916))
% 207.24/207.91 [2192]~E(x21921,x21922)+E(f356(x21923,x21924,x21921,x21925,x21926),f356(x21923,x21924,x21922,x21925,x21926))
% 207.24/207.91 [2193]~E(x21931,x21932)+E(f356(x21933,x21934,x21935,x21931,x21936),f356(x21933,x21934,x21935,x21932,x21936))
% 207.24/207.91 [2194]~E(x21941,x21942)+E(f356(x21943,x21944,x21945,x21946,x21941),f356(x21943,x21944,x21945,x21946,x21942))
% 207.24/207.91 [2195]~E(x21951,x21952)+E(f684(x21951,x21953,x21954,x21955,x21956),f684(x21952,x21953,x21954,x21955,x21956))
% 207.24/207.91 [2196]~E(x21961,x21962)+E(f684(x21963,x21961,x21964,x21965,x21966),f684(x21963,x21962,x21964,x21965,x21966))
% 207.24/207.91 [2197]~E(x21971,x21972)+E(f684(x21973,x21974,x21971,x21975,x21976),f684(x21973,x21974,x21972,x21975,x21976))
% 207.24/207.91 [2198]~E(x21981,x21982)+E(f684(x21983,x21984,x21985,x21981,x21986),f684(x21983,x21984,x21985,x21982,x21986))
% 207.24/207.91 [2199]~E(x21991,x21992)+E(f684(x21993,x21994,x21995,x21996,x21991),f684(x21993,x21994,x21995,x21996,x21992))
% 207.24/207.91 [2200]~E(x22001,x22002)+E(f576(x22001,x22003,x22004),f576(x22002,x22003,x22004))
% 207.24/207.91 [2201]~E(x22011,x22012)+E(f576(x22013,x22011,x22014),f576(x22013,x22012,x22014))
% 207.24/207.91 [2202]~E(x22021,x22022)+E(f576(x22023,x22024,x22021),f576(x22023,x22024,x22022))
% 207.24/207.91 [2203]~E(x22031,x22032)+E(f340(x22031,x22033,x22034,x22035),f340(x22032,x22033,x22034,x22035))
% 207.24/207.91 [2204]~E(x22041,x22042)+E(f340(x22043,x22041,x22044,x22045),f340(x22043,x22042,x22044,x22045))
% 207.24/207.91 [2205]~E(x22051,x22052)+E(f340(x22053,x22054,x22051,x22055),f340(x22053,x22054,x22052,x22055))
% 207.24/207.91 [2206]~E(x22061,x22062)+E(f340(x22063,x22064,x22065,x22061),f340(x22063,x22064,x22065,x22062))
% 207.24/207.91 [2207]~E(x22071,x22072)+E(f128(x22071,x22073,x22074,x22075,x22076),f128(x22072,x22073,x22074,x22075,x22076))
% 207.24/207.91 [2208]~E(x22081,x22082)+E(f128(x22083,x22081,x22084,x22085,x22086),f128(x22083,x22082,x22084,x22085,x22086))
% 207.24/207.91 [2209]~E(x22091,x22092)+E(f128(x22093,x22094,x22091,x22095,x22096),f128(x22093,x22094,x22092,x22095,x22096))
% 207.24/207.91 [2210]~E(x22101,x22102)+E(f128(x22103,x22104,x22105,x22101,x22106),f128(x22103,x22104,x22105,x22102,x22106))
% 207.24/207.91 [2211]~E(x22111,x22112)+E(f128(x22113,x22114,x22115,x22116,x22111),f128(x22113,x22114,x22115,x22116,x22112))
% 207.24/207.91 [2212]~E(x22121,x22122)+E(f546(x22121,x22123),f546(x22122,x22123))
% 207.24/207.91 [2213]~E(x22131,x22132)+E(f546(x22133,x22131),f546(x22133,x22132))
% 207.24/207.91 [2214]~E(x22141,x22142)+E(f246(x22141,x22143,x22144,x22145,x22146,x22147),f246(x22142,x22143,x22144,x22145,x22146,x22147))
% 207.24/207.91 [2215]~E(x22151,x22152)+E(f246(x22153,x22151,x22154,x22155,x22156,x22157),f246(x22153,x22152,x22154,x22155,x22156,x22157))
% 207.24/207.91 [2216]~E(x22161,x22162)+E(f246(x22163,x22164,x22161,x22165,x22166,x22167),f246(x22163,x22164,x22162,x22165,x22166,x22167))
% 207.24/207.91 [2217]~E(x22171,x22172)+E(f246(x22173,x22174,x22175,x22171,x22176,x22177),f246(x22173,x22174,x22175,x22172,x22176,x22177))
% 207.24/207.91 [2218]~E(x22181,x22182)+E(f246(x22183,x22184,x22185,x22186,x22181,x22187),f246(x22183,x22184,x22185,x22186,x22182,x22187))
% 207.24/207.91 [2219]~E(x22191,x22192)+E(f246(x22193,x22194,x22195,x22196,x22197,x22191),f246(x22193,x22194,x22195,x22196,x22197,x22192))
% 207.24/207.91 [2220]~E(x22201,x22202)+E(f181(x22201),f181(x22202))
% 207.24/207.91 [2221]~E(x22211,x22212)+E(f553(x22211,x22213,x22214,x22215,x22216,x22217,x22218),f553(x22212,x22213,x22214,x22215,x22216,x22217,x22218))
% 207.24/207.91 [2222]~E(x22221,x22222)+E(f553(x22223,x22221,x22224,x22225,x22226,x22227,x22228),f553(x22223,x22222,x22224,x22225,x22226,x22227,x22228))
% 207.24/207.91 [2223]~E(x22231,x22232)+E(f553(x22233,x22234,x22231,x22235,x22236,x22237,x22238),f553(x22233,x22234,x22232,x22235,x22236,x22237,x22238))
% 207.24/207.91 [2224]~E(x22241,x22242)+E(f553(x22243,x22244,x22245,x22241,x22246,x22247,x22248),f553(x22243,x22244,x22245,x22242,x22246,x22247,x22248))
% 207.24/207.91 [2225]~E(x22251,x22252)+E(f553(x22253,x22254,x22255,x22256,x22251,x22257,x22258),f553(x22253,x22254,x22255,x22256,x22252,x22257,x22258))
% 207.24/207.91 [2226]~E(x22261,x22262)+E(f553(x22263,x22264,x22265,x22266,x22267,x22261,x22268),f553(x22263,x22264,x22265,x22266,x22267,x22262,x22268))
% 207.24/207.91 [2227]~E(x22271,x22272)+E(f553(x22273,x22274,x22275,x22276,x22277,x22278,x22271),f553(x22273,x22274,x22275,x22276,x22277,x22278,x22272))
% 207.24/207.91 [2228]~E(x22281,x22282)+E(f905(x22281,x22283,x22284,x22285,x22286),f905(x22282,x22283,x22284,x22285,x22286))
% 207.24/207.91 [2229]~E(x22291,x22292)+E(f905(x22293,x22291,x22294,x22295,x22296),f905(x22293,x22292,x22294,x22295,x22296))
% 207.24/207.91 [2230]~E(x22301,x22302)+E(f905(x22303,x22304,x22301,x22305,x22306),f905(x22303,x22304,x22302,x22305,x22306))
% 207.24/207.91 [2231]~E(x22311,x22312)+E(f905(x22313,x22314,x22315,x22311,x22316),f905(x22313,x22314,x22315,x22312,x22316))
% 207.24/207.91 [2232]~E(x22321,x22322)+E(f905(x22323,x22324,x22325,x22326,x22321),f905(x22323,x22324,x22325,x22326,x22322))
% 207.24/207.91 [2233]~E(x22331,x22332)+E(f699(x22331,x22333,x22334),f699(x22332,x22333,x22334))
% 207.24/207.91 [2234]~E(x22341,x22342)+E(f699(x22343,x22341,x22344),f699(x22343,x22342,x22344))
% 207.24/207.91 [2235]~E(x22351,x22352)+E(f699(x22353,x22354,x22351),f699(x22353,x22354,x22352))
% 207.24/207.91 [2236]~E(x22361,x22362)+E(f679(x22361,x22363,x22364,x22365,x22366),f679(x22362,x22363,x22364,x22365,x22366))
% 207.24/207.91 [2237]~E(x22371,x22372)+E(f679(x22373,x22371,x22374,x22375,x22376),f679(x22373,x22372,x22374,x22375,x22376))
% 207.24/207.91 [2238]~E(x22381,x22382)+E(f679(x22383,x22384,x22381,x22385,x22386),f679(x22383,x22384,x22382,x22385,x22386))
% 207.24/207.91 [2239]~E(x22391,x22392)+E(f679(x22393,x22394,x22395,x22391,x22396),f679(x22393,x22394,x22395,x22392,x22396))
% 207.24/207.91 [2240]~E(x22401,x22402)+E(f679(x22403,x22404,x22405,x22406,x22401),f679(x22403,x22404,x22405,x22406,x22402))
% 207.24/207.91 [2241]~E(x22411,x22412)+E(f414(x22411,x22413,x22414,x22415,x22416,x22417),f414(x22412,x22413,x22414,x22415,x22416,x22417))
% 207.24/207.91 [2242]~E(x22421,x22422)+E(f414(x22423,x22421,x22424,x22425,x22426,x22427),f414(x22423,x22422,x22424,x22425,x22426,x22427))
% 207.24/207.91 [2243]~E(x22431,x22432)+E(f414(x22433,x22434,x22431,x22435,x22436,x22437),f414(x22433,x22434,x22432,x22435,x22436,x22437))
% 207.24/207.91 [2244]~E(x22441,x22442)+E(f414(x22443,x22444,x22445,x22441,x22446,x22447),f414(x22443,x22444,x22445,x22442,x22446,x22447))
% 207.24/207.91 [2245]~E(x22451,x22452)+E(f414(x22453,x22454,x22455,x22456,x22451,x22457),f414(x22453,x22454,x22455,x22456,x22452,x22457))
% 207.24/207.91 [2246]~E(x22461,x22462)+E(f414(x22463,x22464,x22465,x22466,x22467,x22461),f414(x22463,x22464,x22465,x22466,x22467,x22462))
% 207.24/207.91 [2247]~E(x22471,x22472)+E(f448(x22471),f448(x22472))
% 207.24/207.91 [2248]~E(x22481,x22482)+E(f864(x22481,x22483,x22484),f864(x22482,x22483,x22484))
% 207.24/207.91 [2249]~E(x22491,x22492)+E(f864(x22493,x22491,x22494),f864(x22493,x22492,x22494))
% 207.24/207.91 [2250]~E(x22501,x22502)+E(f864(x22503,x22504,x22501),f864(x22503,x22504,x22502))
% 207.24/207.91 [2251]~E(x22511,x22512)+E(f738(x22511,x22513,x22514,x22515,x22516),f738(x22512,x22513,x22514,x22515,x22516))
% 207.24/207.91 [2252]~E(x22521,x22522)+E(f738(x22523,x22521,x22524,x22525,x22526),f738(x22523,x22522,x22524,x22525,x22526))
% 207.24/207.91 [2253]~E(x22531,x22532)+E(f738(x22533,x22534,x22531,x22535,x22536),f738(x22533,x22534,x22532,x22535,x22536))
% 207.24/207.91 [2254]~E(x22541,x22542)+E(f738(x22543,x22544,x22545,x22541,x22546),f738(x22543,x22544,x22545,x22542,x22546))
% 207.24/207.91 [2255]~E(x22551,x22552)+E(f738(x22553,x22554,x22555,x22556,x22551),f738(x22553,x22554,x22555,x22556,x22552))
% 207.24/207.91 [2256]~E(x22561,x22562)+E(f348(x22561,x22563,x22564,x22565,x22566),f348(x22562,x22563,x22564,x22565,x22566))
% 207.24/207.91 [2257]~E(x22571,x22572)+E(f348(x22573,x22571,x22574,x22575,x22576),f348(x22573,x22572,x22574,x22575,x22576))
% 207.24/207.91 [2258]~E(x22581,x22582)+E(f348(x22583,x22584,x22581,x22585,x22586),f348(x22583,x22584,x22582,x22585,x22586))
% 207.24/207.91 [2259]~E(x22591,x22592)+E(f348(x22593,x22594,x22595,x22591,x22596),f348(x22593,x22594,x22595,x22592,x22596))
% 207.24/207.91 [2260]~E(x22601,x22602)+E(f348(x22603,x22604,x22605,x22606,x22601),f348(x22603,x22604,x22605,x22606,x22602))
% 207.24/207.91 [2261]~E(x22611,x22612)+E(f898(x22611,x22613,x22614),f898(x22612,x22613,x22614))
% 207.24/207.91 [2262]~E(x22621,x22622)+E(f898(x22623,x22621,x22624),f898(x22623,x22622,x22624))
% 207.24/207.91 [2263]~E(x22631,x22632)+E(f898(x22633,x22634,x22631),f898(x22633,x22634,x22632))
% 207.24/207.91 [2264]~E(x22641,x22642)+E(f582(x22641,x22643,x22644,x22645,x22646,x22647),f582(x22642,x22643,x22644,x22645,x22646,x22647))
% 207.24/207.91 [2265]~E(x22651,x22652)+E(f582(x22653,x22651,x22654,x22655,x22656,x22657),f582(x22653,x22652,x22654,x22655,x22656,x22657))
% 207.24/207.91 [2266]~E(x22661,x22662)+E(f582(x22663,x22664,x22661,x22665,x22666,x22667),f582(x22663,x22664,x22662,x22665,x22666,x22667))
% 207.24/207.91 [2267]~E(x22671,x22672)+E(f582(x22673,x22674,x22675,x22671,x22676,x22677),f582(x22673,x22674,x22675,x22672,x22676,x22677))
% 207.24/207.91 [2268]~E(x22681,x22682)+E(f582(x22683,x22684,x22685,x22686,x22681,x22687),f582(x22683,x22684,x22685,x22686,x22682,x22687))
% 207.24/207.91 [2269]~E(x22691,x22692)+E(f582(x22693,x22694,x22695,x22696,x22697,x22691),f582(x22693,x22694,x22695,x22696,x22697,x22692))
% 207.24/207.91 [2270]~E(x22701,x22702)+E(f764(x22701,x22703,x22704,x22705),f764(x22702,x22703,x22704,x22705))
% 207.24/207.91 [2271]~E(x22711,x22712)+E(f764(x22713,x22711,x22714,x22715),f764(x22713,x22712,x22714,x22715))
% 207.24/207.91 [2272]~E(x22721,x22722)+E(f764(x22723,x22724,x22721,x22725),f764(x22723,x22724,x22722,x22725))
% 207.24/207.91 [2273]~E(x22731,x22732)+E(f764(x22733,x22734,x22735,x22731),f764(x22733,x22734,x22735,x22732))
% 207.24/207.91 [2274]~E(x22741,x22742)+E(f889(x22741,x22743,x22744),f889(x22742,x22743,x22744))
% 207.24/207.91 [2275]~E(x22751,x22752)+E(f889(x22753,x22751,x22754),f889(x22753,x22752,x22754))
% 207.24/207.91 [2276]~E(x22761,x22762)+E(f889(x22763,x22764,x22761),f889(x22763,x22764,x22762))
% 207.24/207.91 [2277]~E(x22771,x22772)+E(f831(x22771,x22773,x22774),f831(x22772,x22773,x22774))
% 207.24/207.91 [2278]~E(x22781,x22782)+E(f831(x22783,x22781,x22784),f831(x22783,x22782,x22784))
% 207.24/207.91 [2279]~E(x22791,x22792)+E(f831(x22793,x22794,x22791),f831(x22793,x22794,x22792))
% 207.24/207.91 [2280]~E(x22801,x22802)+E(f367(x22801,x22803,x22804),f367(x22802,x22803,x22804))
% 207.24/207.91 [2281]~E(x22811,x22812)+E(f367(x22813,x22811,x22814),f367(x22813,x22812,x22814))
% 207.24/207.91 [2282]~E(x22821,x22822)+E(f367(x22823,x22824,x22821),f367(x22823,x22824,x22822))
% 207.24/207.91 [2283]~E(x22831,x22832)+E(f231(x22831,x22833,x22834,x22835),f231(x22832,x22833,x22834,x22835))
% 207.24/207.91 [2284]~E(x22841,x22842)+E(f231(x22843,x22841,x22844,x22845),f231(x22843,x22842,x22844,x22845))
% 207.24/207.91 [2285]~E(x22851,x22852)+E(f231(x22853,x22854,x22851,x22855),f231(x22853,x22854,x22852,x22855))
% 207.24/207.91 [2286]~E(x22861,x22862)+E(f231(x22863,x22864,x22865,x22861),f231(x22863,x22864,x22865,x22862))
% 207.24/207.91 [2287]~E(x22871,x22872)+E(f488(x22871,x22873,x22874),f488(x22872,x22873,x22874))
% 207.24/207.91 [2288]~E(x22881,x22882)+E(f488(x22883,x22881,x22884),f488(x22883,x22882,x22884))
% 207.24/207.91 [2289]~E(x22891,x22892)+E(f488(x22893,x22894,x22891),f488(x22893,x22894,x22892))
% 207.24/207.91 [2290]~E(x22901,x22902)+E(f793(x22901,x22903,x22904,x22905),f793(x22902,x22903,x22904,x22905))
% 207.24/207.91 [2291]~E(x22911,x22912)+E(f793(x22913,x22911,x22914,x22915),f793(x22913,x22912,x22914,x22915))
% 207.24/207.91 [2292]~E(x22921,x22922)+E(f793(x22923,x22924,x22921,x22925),f793(x22923,x22924,x22922,x22925))
% 207.24/207.91 [2293]~E(x22931,x22932)+E(f793(x22933,x22934,x22935,x22931),f793(x22933,x22934,x22935,x22932))
% 207.24/207.91 [2294]~E(x22941,x22942)+E(f614(x22941,x22943,x22944,x22945,x22946,x22947,x22948),f614(x22942,x22943,x22944,x22945,x22946,x22947,x22948))
% 207.24/207.91 [2295]~E(x22951,x22952)+E(f614(x22953,x22951,x22954,x22955,x22956,x22957,x22958),f614(x22953,x22952,x22954,x22955,x22956,x22957,x22958))
% 207.24/207.91 [2296]~E(x22961,x22962)+E(f614(x22963,x22964,x22961,x22965,x22966,x22967,x22968),f614(x22963,x22964,x22962,x22965,x22966,x22967,x22968))
% 207.24/207.91 [2297]~E(x22971,x22972)+E(f614(x22973,x22974,x22975,x22971,x22976,x22977,x22978),f614(x22973,x22974,x22975,x22972,x22976,x22977,x22978))
% 207.24/207.91 [2298]~E(x22981,x22982)+E(f614(x22983,x22984,x22985,x22986,x22981,x22987,x22988),f614(x22983,x22984,x22985,x22986,x22982,x22987,x22988))
% 207.24/207.91 [2299]~E(x22991,x22992)+E(f614(x22993,x22994,x22995,x22996,x22997,x22991,x22998),f614(x22993,x22994,x22995,x22996,x22997,x22992,x22998))
% 207.24/207.91 [2300]~E(x23001,x23002)+E(f614(x23003,x23004,x23005,x23006,x23007,x23008,x23001),f614(x23003,x23004,x23005,x23006,x23007,x23008,x23002))
% 207.24/207.91 [2301]~E(x23011,x23012)+E(f500(x23011,x23013,x23014,x23015),f500(x23012,x23013,x23014,x23015))
% 207.24/207.91 [2302]~E(x23021,x23022)+E(f500(x23023,x23021,x23024,x23025),f500(x23023,x23022,x23024,x23025))
% 207.24/207.91 [2303]~E(x23031,x23032)+E(f500(x23033,x23034,x23031,x23035),f500(x23033,x23034,x23032,x23035))
% 207.24/207.91 [2304]~E(x23041,x23042)+E(f500(x23043,x23044,x23045,x23041),f500(x23043,x23044,x23045,x23042))
% 207.24/207.91 [2305]~E(x23051,x23052)+E(f559(x23051,x23053,x23054,x23055,x23056,x23057),f559(x23052,x23053,x23054,x23055,x23056,x23057))
% 207.24/207.91 [2306]~E(x23061,x23062)+E(f559(x23063,x23061,x23064,x23065,x23066,x23067),f559(x23063,x23062,x23064,x23065,x23066,x23067))
% 207.24/207.91 [2307]~E(x23071,x23072)+E(f559(x23073,x23074,x23071,x23075,x23076,x23077),f559(x23073,x23074,x23072,x23075,x23076,x23077))
% 207.24/207.91 [2308]~E(x23081,x23082)+E(f559(x23083,x23084,x23085,x23081,x23086,x23087),f559(x23083,x23084,x23085,x23082,x23086,x23087))
% 207.24/207.91 [2309]~E(x23091,x23092)+E(f559(x23093,x23094,x23095,x23096,x23091,x23097),f559(x23093,x23094,x23095,x23096,x23092,x23097))
% 207.24/207.91 [2310]~E(x23101,x23102)+E(f559(x23103,x23104,x23105,x23106,x23107,x23101),f559(x23103,x23104,x23105,x23106,x23107,x23102))
% 207.24/207.91 [2311]~E(x23111,x23112)+E(f606(x23111,x23113,x23114),f606(x23112,x23113,x23114))
% 207.24/207.91 [2312]~E(x23121,x23122)+E(f606(x23123,x23121,x23124),f606(x23123,x23122,x23124))
% 207.24/207.91 [2313]~E(x23131,x23132)+E(f606(x23133,x23134,x23131),f606(x23133,x23134,x23132))
% 207.24/207.91 [2314]~E(x23141,x23142)+E(f799(x23141,x23143),f799(x23142,x23143))
% 207.24/207.91 [2315]~E(x23151,x23152)+E(f799(x23153,x23151),f799(x23153,x23152))
% 207.24/207.91 [2316]~E(x23161,x23162)+E(f573(x23161),f573(x23162))
% 207.24/207.91 [2317]~E(x23171,x23172)+E(f343(x23171,x23173,x23174,x23175,x23176),f343(x23172,x23173,x23174,x23175,x23176))
% 207.24/207.91 [2318]~E(x23181,x23182)+E(f343(x23183,x23181,x23184,x23185,x23186),f343(x23183,x23182,x23184,x23185,x23186))
% 207.24/207.91 [2319]~E(x23191,x23192)+E(f343(x23193,x23194,x23191,x23195,x23196),f343(x23193,x23194,x23192,x23195,x23196))
% 207.24/207.91 [2320]~E(x23201,x23202)+E(f343(x23203,x23204,x23205,x23201,x23206),f343(x23203,x23204,x23205,x23202,x23206))
% 207.24/207.91 [2321]~E(x23211,x23212)+E(f343(x23213,x23214,x23215,x23216,x23211),f343(x23213,x23214,x23215,x23216,x23212))
% 207.24/207.91 [2322]~E(x23221,x23222)+E(f794(x23221,x23223,x23224,x23225),f794(x23222,x23223,x23224,x23225))
% 207.24/207.91 [2323]~E(x23231,x23232)+E(f794(x23233,x23231,x23234,x23235),f794(x23233,x23232,x23234,x23235))
% 207.24/207.91 [2324]~E(x23241,x23242)+E(f794(x23243,x23244,x23241,x23245),f794(x23243,x23244,x23242,x23245))
% 207.24/207.91 [2325]~E(x23251,x23252)+E(f794(x23253,x23254,x23255,x23251),f794(x23253,x23254,x23255,x23252))
% 207.24/207.91 [2326]~E(x23261,x23262)+E(f199(x23261,x23263,x23264,x23265),f199(x23262,x23263,x23264,x23265))
% 207.24/207.91 [2327]~E(x23271,x23272)+E(f199(x23273,x23271,x23274,x23275),f199(x23273,x23272,x23274,x23275))
% 207.24/207.91 [2328]~E(x23281,x23282)+E(f199(x23283,x23284,x23281,x23285),f199(x23283,x23284,x23282,x23285))
% 207.24/207.91 [2329]~E(x23291,x23292)+E(f199(x23293,x23294,x23295,x23291),f199(x23293,x23294,x23295,x23292))
% 207.24/207.91 [2330]~E(x23301,x23302)+E(f767(x23301,x23303,x23304),f767(x23302,x23303,x23304))
% 207.24/207.91 [2331]~E(x23311,x23312)+E(f767(x23313,x23311,x23314),f767(x23313,x23312,x23314))
% 207.24/207.91 [2332]~E(x23321,x23322)+E(f767(x23323,x23324,x23321),f767(x23323,x23324,x23322))
% 207.24/207.91 [2333]~E(x23331,x23332)+E(f685(x23331,x23333,x23334),f685(x23332,x23333,x23334))
% 207.24/207.91 [2334]~E(x23341,x23342)+E(f685(x23343,x23341,x23344),f685(x23343,x23342,x23344))
% 207.24/207.91 [2335]~E(x23351,x23352)+E(f685(x23353,x23354,x23351),f685(x23353,x23354,x23352))
% 207.24/207.91 [2336]~E(x23361,x23362)+E(f682(x23361,x23363,x23364,x23365),f682(x23362,x23363,x23364,x23365))
% 207.24/207.91 [2337]~E(x23371,x23372)+E(f682(x23373,x23371,x23374,x23375),f682(x23373,x23372,x23374,x23375))
% 207.24/207.91 [2338]~E(x23381,x23382)+E(f682(x23383,x23384,x23381,x23385),f682(x23383,x23384,x23382,x23385))
% 207.24/207.91 [2339]~E(x23391,x23392)+E(f682(x23393,x23394,x23395,x23391),f682(x23393,x23394,x23395,x23392))
% 207.24/207.91 [2340]~E(x23401,x23402)+E(f587(x23401,x23403,x23404),f587(x23402,x23403,x23404))
% 207.24/207.91 [2341]~E(x23411,x23412)+E(f587(x23413,x23411,x23414),f587(x23413,x23412,x23414))
% 207.24/207.91 [2342]~E(x23421,x23422)+E(f587(x23423,x23424,x23421),f587(x23423,x23424,x23422))
% 207.24/207.91 [2343]~E(x23431,x23432)+E(f421(x23431,x23433,x23434,x23435),f421(x23432,x23433,x23434,x23435))
% 207.24/207.91 [2344]~E(x23441,x23442)+E(f421(x23443,x23441,x23444,x23445),f421(x23443,x23442,x23444,x23445))
% 207.24/207.91 [2345]~E(x23451,x23452)+E(f421(x23453,x23454,x23451,x23455),f421(x23453,x23454,x23452,x23455))
% 207.24/207.91 [2346]~E(x23461,x23462)+E(f421(x23463,x23464,x23465,x23461),f421(x23463,x23464,x23465,x23462))
% 207.24/207.91 [2347]~E(x23471,x23472)+E(f228(x23471,x23473,x23474,x23475,x23476),f228(x23472,x23473,x23474,x23475,x23476))
% 207.24/207.91 [2348]~E(x23481,x23482)+E(f228(x23483,x23481,x23484,x23485,x23486),f228(x23483,x23482,x23484,x23485,x23486))
% 207.24/207.91 [2349]~E(x23491,x23492)+E(f228(x23493,x23494,x23491,x23495,x23496),f228(x23493,x23494,x23492,x23495,x23496))
% 207.24/207.91 [2350]~E(x23501,x23502)+E(f228(x23503,x23504,x23505,x23501,x23506),f228(x23503,x23504,x23505,x23502,x23506))
% 207.24/207.91 [2351]~E(x23511,x23512)+E(f228(x23513,x23514,x23515,x23516,x23511),f228(x23513,x23514,x23515,x23516,x23512))
% 207.24/207.91 [2352]~E(x23521,x23522)+E(f593(x23521,x23523,x23524,x23525,x23526,x23527,x23528,x23529),f593(x23522,x23523,x23524,x23525,x23526,x23527,x23528,x23529))
% 207.24/207.91 [2353]~E(x23531,x23532)+E(f593(x23533,x23531,x23534,x23535,x23536,x23537,x23538,x23539),f593(x23533,x23532,x23534,x23535,x23536,x23537,x23538,x23539))
% 207.24/207.91 [2354]~E(x23541,x23542)+E(f593(x23543,x23544,x23541,x23545,x23546,x23547,x23548,x23549),f593(x23543,x23544,x23542,x23545,x23546,x23547,x23548,x23549))
% 207.26/207.91 [2355]~E(x23551,x23552)+E(f593(x23553,x23554,x23555,x23551,x23556,x23557,x23558,x23559),f593(x23553,x23554,x23555,x23552,x23556,x23557,x23558,x23559))
% 207.26/207.91 [2356]~E(x23561,x23562)+E(f593(x23563,x23564,x23565,x23566,x23561,x23567,x23568,x23569),f593(x23563,x23564,x23565,x23566,x23562,x23567,x23568,x23569))
% 207.26/207.91 [2357]~E(x23571,x23572)+E(f593(x23573,x23574,x23575,x23576,x23577,x23571,x23578,x23579),f593(x23573,x23574,x23575,x23576,x23577,x23572,x23578,x23579))
% 207.26/207.91 [2358]~E(x23581,x23582)+E(f593(x23583,x23584,x23585,x23586,x23587,x23588,x23581,x23589),f593(x23583,x23584,x23585,x23586,x23587,x23588,x23582,x23589))
% 207.26/207.91 [2359]~E(x23591,x23592)+E(f593(x23593,x23594,x23595,x23596,x23597,x23598,x23599,x23591),f593(x23593,x23594,x23595,x23596,x23597,x23598,x23599,x23592))
% 207.26/207.91 [2360]~E(x23601,x23602)+E(f517(x23601,x23603,x23604),f517(x23602,x23603,x23604))
% 207.26/207.91 [2361]~E(x23611,x23612)+E(f517(x23613,x23611,x23614),f517(x23613,x23612,x23614))
% 207.26/207.91 [2362]~E(x23621,x23622)+E(f517(x23623,x23624,x23621),f517(x23623,x23624,x23622))
% 207.26/207.91 [2363]~E(x23631,x23632)+E(f220(x23631,x23633),f220(x23632,x23633))
% 207.26/207.91 [2364]~E(x23641,x23642)+E(f220(x23643,x23641),f220(x23643,x23642))
% 207.26/207.91 [2365]~E(x23651,x23652)+E(f782(x23651,x23653,x23654,x23655,x23656,x23657,x23658),f782(x23652,x23653,x23654,x23655,x23656,x23657,x23658))
% 207.26/207.91 [2366]~E(x23661,x23662)+E(f782(x23663,x23661,x23664,x23665,x23666,x23667,x23668),f782(x23663,x23662,x23664,x23665,x23666,x23667,x23668))
% 207.26/207.91 [2367]~E(x23671,x23672)+E(f782(x23673,x23674,x23671,x23675,x23676,x23677,x23678),f782(x23673,x23674,x23672,x23675,x23676,x23677,x23678))
% 207.26/207.91 [2368]~E(x23681,x23682)+E(f782(x23683,x23684,x23685,x23681,x23686,x23687,x23688),f782(x23683,x23684,x23685,x23682,x23686,x23687,x23688))
% 207.26/207.91 [2369]~E(x23691,x23692)+E(f782(x23693,x23694,x23695,x23696,x23691,x23697,x23698),f782(x23693,x23694,x23695,x23696,x23692,x23697,x23698))
% 207.26/207.91 [2370]~E(x23701,x23702)+E(f782(x23703,x23704,x23705,x23706,x23707,x23701,x23708),f782(x23703,x23704,x23705,x23706,x23707,x23702,x23708))
% 207.26/207.91 [2371]~E(x23711,x23712)+E(f782(x23713,x23714,x23715,x23716,x23717,x23718,x23711),f782(x23713,x23714,x23715,x23716,x23717,x23718,x23712))
% 207.26/207.91 [2372]~E(x23721,x23722)+E(f665(x23721,x23723,x23724,x23725),f665(x23722,x23723,x23724,x23725))
% 207.26/207.91 [2373]~E(x23731,x23732)+E(f665(x23733,x23731,x23734,x23735),f665(x23733,x23732,x23734,x23735))
% 207.26/207.91 [2374]~E(x23741,x23742)+E(f665(x23743,x23744,x23741,x23745),f665(x23743,x23744,x23742,x23745))
% 207.26/207.91 [2375]~E(x23751,x23752)+E(f665(x23753,x23754,x23755,x23751),f665(x23753,x23754,x23755,x23752))
% 207.26/207.91 [2376]~E(x23761,x23762)+E(f832(x23761,x23763,x23764),f832(x23762,x23763,x23764))
% 207.26/207.91 [2377]~E(x23771,x23772)+E(f832(x23773,x23771,x23774),f832(x23773,x23772,x23774))
% 207.26/207.91 [2378]~E(x23781,x23782)+E(f832(x23783,x23784,x23781),f832(x23783,x23784,x23782))
% 207.26/207.91 [2379]~E(x23791,x23792)+E(f826(x23791,x23793,x23794,x23795),f826(x23792,x23793,x23794,x23795))
% 207.26/207.91 [2380]~E(x23801,x23802)+E(f826(x23803,x23801,x23804,x23805),f826(x23803,x23802,x23804,x23805))
% 207.26/207.91 [2381]~E(x23811,x23812)+E(f826(x23813,x23814,x23811,x23815),f826(x23813,x23814,x23812,x23815))
% 207.26/207.91 [2382]~E(x23821,x23822)+E(f826(x23823,x23824,x23825,x23821),f826(x23823,x23824,x23825,x23822))
% 207.26/207.91 [2383]~E(x23831,x23832)+E(f733(x23831,x23833),f733(x23832,x23833))
% 207.26/207.91 [2384]~E(x23841,x23842)+E(f733(x23843,x23841),f733(x23843,x23842))
% 207.26/207.91 [2385]~E(x23851,x23852)+E(f88(x23851),f88(x23852))
% 207.26/207.91 [2386]~E(x23861,x23862)+E(f798(x23861,x23863),f798(x23862,x23863))
% 207.26/207.91 [2387]~E(x23871,x23872)+E(f798(x23873,x23871),f798(x23873,x23872))
% 207.26/207.91 [2388]~E(x23881,x23882)+E(f712(x23881,x23883),f712(x23882,x23883))
% 207.26/207.91 [2389]~E(x23891,x23892)+E(f712(x23893,x23891),f712(x23893,x23892))
% 207.26/207.91 [2390]~E(x23901,x23902)+E(f664(x23901,x23903,x23904,x23905),f664(x23902,x23903,x23904,x23905))
% 207.26/207.91 [2391]~E(x23911,x23912)+E(f664(x23913,x23911,x23914,x23915),f664(x23913,x23912,x23914,x23915))
% 207.26/207.91 [2392]~E(x23921,x23922)+E(f664(x23923,x23924,x23921,x23925),f664(x23923,x23924,x23922,x23925))
% 207.26/207.91 [2393]~E(x23931,x23932)+E(f664(x23933,x23934,x23935,x23931),f664(x23933,x23934,x23935,x23932))
% 207.26/207.91 [2394]~E(x23941,x23942)+E(f94(x23941,x23943,x23944),f94(x23942,x23943,x23944))
% 207.26/207.91 [2395]~E(x23951,x23952)+E(f94(x23953,x23951,x23954),f94(x23953,x23952,x23954))
% 207.26/207.91 [2396]~E(x23961,x23962)+E(f94(x23963,x23964,x23961),f94(x23963,x23964,x23962))
% 207.26/207.91 [2397]~E(x23971,x23972)+E(f818(x23971,x23973),f818(x23972,x23973))
% 207.26/207.91 [2398]~E(x23981,x23982)+E(f818(x23983,x23981),f818(x23983,x23982))
% 207.26/207.91 [2399]~E(x23991,x23992)+E(f887(x23991,x23993,x23994,x23995,x23996,x23997),f887(x23992,x23993,x23994,x23995,x23996,x23997))
% 207.26/207.91 [2400]~E(x24001,x24002)+E(f887(x24003,x24001,x24004,x24005,x24006,x24007),f887(x24003,x24002,x24004,x24005,x24006,x24007))
% 207.26/207.91 [2401]~E(x24011,x24012)+E(f887(x24013,x24014,x24011,x24015,x24016,x24017),f887(x24013,x24014,x24012,x24015,x24016,x24017))
% 207.26/207.91 [2402]~E(x24021,x24022)+E(f887(x24023,x24024,x24025,x24021,x24026,x24027),f887(x24023,x24024,x24025,x24022,x24026,x24027))
% 207.26/207.91 [2403]~E(x24031,x24032)+E(f887(x24033,x24034,x24035,x24036,x24031,x24037),f887(x24033,x24034,x24035,x24036,x24032,x24037))
% 207.26/207.91 [2404]~E(x24041,x24042)+E(f887(x24043,x24044,x24045,x24046,x24047,x24041),f887(x24043,x24044,x24045,x24046,x24047,x24042))
% 207.26/207.91 [2405]~E(x24051,x24052)+E(f743(x24051,x24053,x24054,x24055,x24056,x24057,x24058),f743(x24052,x24053,x24054,x24055,x24056,x24057,x24058))
% 207.26/207.91 [2406]~E(x24061,x24062)+E(f743(x24063,x24061,x24064,x24065,x24066,x24067,x24068),f743(x24063,x24062,x24064,x24065,x24066,x24067,x24068))
% 207.26/207.91 [2407]~E(x24071,x24072)+E(f743(x24073,x24074,x24071,x24075,x24076,x24077,x24078),f743(x24073,x24074,x24072,x24075,x24076,x24077,x24078))
% 207.26/207.91 [2408]~E(x24081,x24082)+E(f743(x24083,x24084,x24085,x24081,x24086,x24087,x24088),f743(x24083,x24084,x24085,x24082,x24086,x24087,x24088))
% 207.26/207.91 [2409]~E(x24091,x24092)+E(f743(x24093,x24094,x24095,x24096,x24091,x24097,x24098),f743(x24093,x24094,x24095,x24096,x24092,x24097,x24098))
% 207.26/207.91 [2410]~E(x24101,x24102)+E(f743(x24103,x24104,x24105,x24106,x24107,x24101,x24108),f743(x24103,x24104,x24105,x24106,x24107,x24102,x24108))
% 207.26/207.91 [2411]~E(x24111,x24112)+E(f743(x24113,x24114,x24115,x24116,x24117,x24118,x24111),f743(x24113,x24114,x24115,x24116,x24117,x24118,x24112))
% 207.26/207.91 [2412]~E(x24121,x24122)+E(f771(x24121,x24123,x24124,x24125),f771(x24122,x24123,x24124,x24125))
% 207.26/207.91 [2413]~E(x24131,x24132)+E(f771(x24133,x24131,x24134,x24135),f771(x24133,x24132,x24134,x24135))
% 207.26/207.91 [2414]~E(x24141,x24142)+E(f771(x24143,x24144,x24141,x24145),f771(x24143,x24144,x24142,x24145))
% 207.26/207.91 [2415]~E(x24151,x24152)+E(f771(x24153,x24154,x24155,x24151),f771(x24153,x24154,x24155,x24152))
% 207.26/207.91 [2416]~E(x24161,x24162)+E(f294(x24161,x24163,x24164),f294(x24162,x24163,x24164))
% 207.26/207.91 [2417]~E(x24171,x24172)+E(f294(x24173,x24171,x24174),f294(x24173,x24172,x24174))
% 207.26/207.91 [2418]~E(x24181,x24182)+E(f294(x24183,x24184,x24181),f294(x24183,x24184,x24182))
% 207.26/207.91 [2419]~E(x24191,x24192)+E(f847(x24191,x24193,x24194,x24195,x24196,x24197),f847(x24192,x24193,x24194,x24195,x24196,x24197))
% 207.26/207.91 [2420]~E(x24201,x24202)+E(f847(x24203,x24201,x24204,x24205,x24206,x24207),f847(x24203,x24202,x24204,x24205,x24206,x24207))
% 207.26/207.91 [2421]~E(x24211,x24212)+E(f847(x24213,x24214,x24211,x24215,x24216,x24217),f847(x24213,x24214,x24212,x24215,x24216,x24217))
% 207.26/207.91 [2422]~E(x24221,x24222)+E(f847(x24223,x24224,x24225,x24221,x24226,x24227),f847(x24223,x24224,x24225,x24222,x24226,x24227))
% 207.26/207.91 [2423]~E(x24231,x24232)+E(f847(x24233,x24234,x24235,x24236,x24231,x24237),f847(x24233,x24234,x24235,x24236,x24232,x24237))
% 207.26/207.91 [2424]~E(x24241,x24242)+E(f847(x24243,x24244,x24245,x24246,x24247,x24241),f847(x24243,x24244,x24245,x24246,x24247,x24242))
% 207.26/207.91 [2425]~E(x24251,x24252)+E(f618(x24251,x24253,x24254,x24255),f618(x24252,x24253,x24254,x24255))
% 207.26/207.91 [2426]~E(x24261,x24262)+E(f618(x24263,x24261,x24264,x24265),f618(x24263,x24262,x24264,x24265))
% 207.26/207.91 [2427]~E(x24271,x24272)+E(f618(x24273,x24274,x24271,x24275),f618(x24273,x24274,x24272,x24275))
% 207.26/207.91 [2428]~E(x24281,x24282)+E(f618(x24283,x24284,x24285,x24281),f618(x24283,x24284,x24285,x24282))
% 207.26/207.91 [2429]~E(x24291,x24292)+E(f680(x24291,x24293,x24294,x24295),f680(x24292,x24293,x24294,x24295))
% 207.26/207.91 [2430]~E(x24301,x24302)+E(f680(x24303,x24301,x24304,x24305),f680(x24303,x24302,x24304,x24305))
% 207.26/207.91 [2431]~E(x24311,x24312)+E(f680(x24313,x24314,x24311,x24315),f680(x24313,x24314,x24312,x24315))
% 207.26/207.91 [2432]~E(x24321,x24322)+E(f680(x24323,x24324,x24325,x24321),f680(x24323,x24324,x24325,x24322))
% 207.26/207.91 [2433]~E(x24331,x24332)+E(f758(x24331,x24333,x24334),f758(x24332,x24333,x24334))
% 207.26/207.91 [2434]~E(x24341,x24342)+E(f758(x24343,x24341,x24344),f758(x24343,x24342,x24344))
% 207.26/207.91 [2435]~E(x24351,x24352)+E(f758(x24353,x24354,x24351),f758(x24353,x24354,x24352))
% 207.26/207.91 [2436]~E(x24361,x24362)+E(f748(x24361,x24363,x24364,x24365),f748(x24362,x24363,x24364,x24365))
% 207.26/207.91 [2437]~E(x24371,x24372)+E(f748(x24373,x24371,x24374,x24375),f748(x24373,x24372,x24374,x24375))
% 207.26/207.91 [2438]~E(x24381,x24382)+E(f748(x24383,x24384,x24381,x24385),f748(x24383,x24384,x24382,x24385))
% 207.26/207.91 [2439]~E(x24391,x24392)+E(f748(x24393,x24394,x24395,x24391),f748(x24393,x24394,x24395,x24392))
% 207.26/207.91 [2440]~E(x24401,x24402)+E(f454(x24401,x24403,x24404),f454(x24402,x24403,x24404))
% 207.26/207.91 [2441]~E(x24411,x24412)+E(f454(x24413,x24411,x24414),f454(x24413,x24412,x24414))
% 207.26/207.91 [2442]~E(x24421,x24422)+E(f454(x24423,x24424,x24421),f454(x24423,x24424,x24422))
% 207.26/207.91 [2443]~E(x24431,x24432)+E(f498(x24431,x24433,x24434,x24435),f498(x24432,x24433,x24434,x24435))
% 207.26/207.91 [2444]~E(x24441,x24442)+E(f498(x24443,x24441,x24444,x24445),f498(x24443,x24442,x24444,x24445))
% 207.26/207.91 [2445]~E(x24451,x24452)+E(f498(x24453,x24454,x24451,x24455),f498(x24453,x24454,x24452,x24455))
% 207.26/207.91 [2446]~E(x24461,x24462)+E(f498(x24463,x24464,x24465,x24461),f498(x24463,x24464,x24465,x24462))
% 207.26/207.91 [2447]~E(x24471,x24472)+E(f878(x24471,x24473,x24474,x24475),f878(x24472,x24473,x24474,x24475))
% 207.26/207.91 [2448]~E(x24481,x24482)+E(f878(x24483,x24481,x24484,x24485),f878(x24483,x24482,x24484,x24485))
% 207.26/207.91 [2449]~E(x24491,x24492)+E(f878(x24493,x24494,x24491,x24495),f878(x24493,x24494,x24492,x24495))
% 207.26/207.91 [2450]~E(x24501,x24502)+E(f878(x24503,x24504,x24505,x24501),f878(x24503,x24504,x24505,x24502))
% 207.26/207.91 [2451]~E(x24511,x24512)+E(f701(x24511,x24513),f701(x24512,x24513))
% 207.26/207.91 [2452]~E(x24521,x24522)+E(f701(x24523,x24521),f701(x24523,x24522))
% 207.26/207.91 [2453]~E(x24531,x24532)+E(f820(x24531,x24533,x24534,x24535),f820(x24532,x24533,x24534,x24535))
% 207.26/207.91 [2454]~E(x24541,x24542)+E(f820(x24543,x24541,x24544,x24545),f820(x24543,x24542,x24544,x24545))
% 207.26/207.91 [2455]~E(x24551,x24552)+E(f820(x24553,x24554,x24551,x24555),f820(x24553,x24554,x24552,x24555))
% 207.26/207.91 [2456]~E(x24561,x24562)+E(f820(x24563,x24564,x24565,x24561),f820(x24563,x24564,x24565,x24562))
% 207.26/207.91 [2457]~E(x24571,x24572)+E(f296(x24571,x24573,x24574),f296(x24572,x24573,x24574))
% 207.26/207.91 [2458]~E(x24581,x24582)+E(f296(x24583,x24581,x24584),f296(x24583,x24582,x24584))
% 207.26/207.91 [2459]~E(x24591,x24592)+E(f296(x24593,x24594,x24591),f296(x24593,x24594,x24592))
% 207.26/207.91 [2460]~E(x24601,x24602)+E(f762(x24601,x24603,x24604),f762(x24602,x24603,x24604))
% 207.26/207.91 [2461]~E(x24611,x24612)+E(f762(x24613,x24611,x24614),f762(x24613,x24612,x24614))
% 207.26/207.91 [2462]~E(x24621,x24622)+E(f762(x24623,x24624,x24621),f762(x24623,x24624,x24622))
% 207.26/207.91 [2463]~E(x24631,x24632)+E(f866(x24631,x24633,x24634,x24635,x24636),f866(x24632,x24633,x24634,x24635,x24636))
% 207.26/207.91 [2464]~E(x24641,x24642)+E(f866(x24643,x24641,x24644,x24645,x24646),f866(x24643,x24642,x24644,x24645,x24646))
% 207.26/207.91 [2465]~E(x24651,x24652)+E(f866(x24653,x24654,x24651,x24655,x24656),f866(x24653,x24654,x24652,x24655,x24656))
% 207.26/207.91 [2466]~E(x24661,x24662)+E(f866(x24663,x24664,x24665,x24661,x24666),f866(x24663,x24664,x24665,x24662,x24666))
% 207.26/207.91 [2467]~E(x24671,x24672)+E(f866(x24673,x24674,x24675,x24676,x24671),f866(x24673,x24674,x24675,x24676,x24672))
% 207.26/207.91 [2468]~E(x24681,x24682)+E(f729(x24681,x24683),f729(x24682,x24683))
% 207.26/207.91 [2469]~E(x24691,x24692)+E(f729(x24693,x24691),f729(x24693,x24692))
% 207.26/207.91 [2470]~E(x24701,x24702)+E(f892(x24701,x24703,x24704),f892(x24702,x24703,x24704))
% 207.26/207.91 [2471]~E(x24711,x24712)+E(f892(x24713,x24711,x24714),f892(x24713,x24712,x24714))
% 207.26/207.91 [2472]~E(x24721,x24722)+E(f892(x24723,x24724,x24721),f892(x24723,x24724,x24722))
% 207.26/207.91 [2473]~E(x24731,x24732)+E(f716(x24731,x24733),f716(x24732,x24733))
% 207.26/207.91 [2474]~E(x24741,x24742)+E(f716(x24743,x24741),f716(x24743,x24742))
% 207.26/207.91 [2475]~E(x24751,x24752)+E(f519(x24751,x24753,x24754,x24755,x24756,x24757,x24758),f519(x24752,x24753,x24754,x24755,x24756,x24757,x24758))
% 207.26/207.91 [2476]~E(x24761,x24762)+E(f519(x24763,x24761,x24764,x24765,x24766,x24767,x24768),f519(x24763,x24762,x24764,x24765,x24766,x24767,x24768))
% 207.26/207.91 [2477]~E(x24771,x24772)+E(f519(x24773,x24774,x24771,x24775,x24776,x24777,x24778),f519(x24773,x24774,x24772,x24775,x24776,x24777,x24778))
% 207.26/207.91 [2478]~E(x24781,x24782)+E(f519(x24783,x24784,x24785,x24781,x24786,x24787,x24788),f519(x24783,x24784,x24785,x24782,x24786,x24787,x24788))
% 207.26/207.91 [2479]~E(x24791,x24792)+E(f519(x24793,x24794,x24795,x24796,x24791,x24797,x24798),f519(x24793,x24794,x24795,x24796,x24792,x24797,x24798))
% 207.26/207.91 [2480]~E(x24801,x24802)+E(f519(x24803,x24804,x24805,x24806,x24807,x24801,x24808),f519(x24803,x24804,x24805,x24806,x24807,x24802,x24808))
% 207.26/207.91 [2481]~E(x24811,x24812)+E(f519(x24813,x24814,x24815,x24816,x24817,x24818,x24811),f519(x24813,x24814,x24815,x24816,x24817,x24818,x24812))
% 207.26/207.91 [2482]~E(x24821,x24822)+E(f626(x24821,x24823,x24824,x24825,x24826,x24827,x24828,x24829),f626(x24822,x24823,x24824,x24825,x24826,x24827,x24828,x24829))
% 207.26/207.91 [2483]~E(x24831,x24832)+E(f626(x24833,x24831,x24834,x24835,x24836,x24837,x24838,x24839),f626(x24833,x24832,x24834,x24835,x24836,x24837,x24838,x24839))
% 207.26/207.91 [2484]~E(x24841,x24842)+E(f626(x24843,x24844,x24841,x24845,x24846,x24847,x24848,x24849),f626(x24843,x24844,x24842,x24845,x24846,x24847,x24848,x24849))
% 207.26/207.91 [2485]~E(x24851,x24852)+E(f626(x24853,x24854,x24855,x24851,x24856,x24857,x24858,x24859),f626(x24853,x24854,x24855,x24852,x24856,x24857,x24858,x24859))
% 207.26/207.91 [2486]~E(x24861,x24862)+E(f626(x24863,x24864,x24865,x24866,x24861,x24867,x24868,x24869),f626(x24863,x24864,x24865,x24866,x24862,x24867,x24868,x24869))
% 207.26/207.91 [2487]~E(x24871,x24872)+E(f626(x24873,x24874,x24875,x24876,x24877,x24871,x24878,x24879),f626(x24873,x24874,x24875,x24876,x24877,x24872,x24878,x24879))
% 207.26/207.91 [2488]~E(x24881,x24882)+E(f626(x24883,x24884,x24885,x24886,x24887,x24888,x24881,x24889),f626(x24883,x24884,x24885,x24886,x24887,x24888,x24882,x24889))
% 207.26/207.91 [2489]~E(x24891,x24892)+E(f626(x24893,x24894,x24895,x24896,x24897,x24898,x24899,x24891),f626(x24893,x24894,x24895,x24896,x24897,x24898,x24899,x24892))
% 207.26/207.91 [2490]~E(x24901,x24902)+E(f131(x24901,x24903,x24904,x24905),f131(x24902,x24903,x24904,x24905))
% 207.26/207.91 [2491]~E(x24911,x24912)+E(f131(x24913,x24911,x24914,x24915),f131(x24913,x24912,x24914,x24915))
% 207.26/207.91 [2492]~E(x24921,x24922)+E(f131(x24923,x24924,x24921,x24925),f131(x24923,x24924,x24922,x24925))
% 207.26/207.91 [2493]~E(x24931,x24932)+E(f131(x24933,x24934,x24935,x24931),f131(x24933,x24934,x24935,x24932))
% 207.26/207.91 [2494]~E(x24941,x24942)+E(f746(x24941,x24943,x24944),f746(x24942,x24943,x24944))
% 207.26/207.91 [2495]~E(x24951,x24952)+E(f746(x24953,x24951,x24954),f746(x24953,x24952,x24954))
% 207.26/207.91 [2496]~E(x24961,x24962)+E(f746(x24963,x24964,x24961),f746(x24963,x24964,x24962))
% 207.26/207.91 [2497]~E(x24971,x24972)+E(f602(x24971,x24973,x24974,x24975,x24976),f602(x24972,x24973,x24974,x24975,x24976))
% 207.26/207.91 [2498]~E(x24981,x24982)+E(f602(x24983,x24981,x24984,x24985,x24986),f602(x24983,x24982,x24984,x24985,x24986))
% 207.26/207.91 [2499]~E(x24991,x24992)+E(f602(x24993,x24994,x24991,x24995,x24996),f602(x24993,x24994,x24992,x24995,x24996))
% 207.26/207.91 [2500]~E(x25001,x25002)+E(f602(x25003,x25004,x25005,x25001,x25006),f602(x25003,x25004,x25005,x25002,x25006))
% 207.26/207.91 [2501]~E(x25011,x25012)+E(f602(x25013,x25014,x25015,x25016,x25011),f602(x25013,x25014,x25015,x25016,x25012))
% 207.26/207.91 [2502]~E(x25021,x25022)+E(f659(x25021,x25023,x25024,x25025),f659(x25022,x25023,x25024,x25025))
% 207.26/207.91 [2503]~E(x25031,x25032)+E(f659(x25033,x25031,x25034,x25035),f659(x25033,x25032,x25034,x25035))
% 207.26/207.91 [2504]~E(x25041,x25042)+E(f659(x25043,x25044,x25041,x25045),f659(x25043,x25044,x25042,x25045))
% 207.26/207.91 [2505]~E(x25051,x25052)+E(f659(x25053,x25054,x25055,x25051),f659(x25053,x25054,x25055,x25052))
% 207.26/207.91 [2506]~E(x25061,x25062)+E(f271(x25061,x25063,x25064,x25065),f271(x25062,x25063,x25064,x25065))
% 207.26/207.91 [2507]~E(x25071,x25072)+E(f271(x25073,x25071,x25074,x25075),f271(x25073,x25072,x25074,x25075))
% 207.26/207.91 [2508]~E(x25081,x25082)+E(f271(x25083,x25084,x25081,x25085),f271(x25083,x25084,x25082,x25085))
% 207.26/207.91 [2509]~E(x25091,x25092)+E(f271(x25093,x25094,x25095,x25091),f271(x25093,x25094,x25095,x25092))
% 207.26/207.91 [2510]~E(x25101,x25102)+E(f534(x25101),f534(x25102))
% 207.26/207.91 [2511]~E(x25111,x25112)+E(f780(x25111,x25113),f780(x25112,x25113))
% 207.26/207.91 [2512]~E(x25121,x25122)+E(f780(x25123,x25121),f780(x25123,x25122))
% 207.26/207.91 [2513]~E(x25131,x25132)+E(f428(x25131,x25133,x25134,x25135),f428(x25132,x25133,x25134,x25135))
% 207.26/207.91 [2514]~E(x25141,x25142)+E(f428(x25143,x25141,x25144,x25145),f428(x25143,x25142,x25144,x25145))
% 207.26/207.91 [2515]~E(x25151,x25152)+E(f428(x25153,x25154,x25151,x25155),f428(x25153,x25154,x25152,x25155))
% 207.26/207.91 [2516]~E(x25161,x25162)+E(f428(x25163,x25164,x25165,x25161),f428(x25163,x25164,x25165,x25162))
% 207.26/207.91 [2517]~E(x25171,x25172)+E(f813(x25171,x25173),f813(x25172,x25173))
% 207.26/207.91 [2518]~E(x25181,x25182)+E(f813(x25183,x25181),f813(x25183,x25182))
% 207.26/207.91 [2519]~E(x25191,x25192)+E(f523(x25191,x25193,x25194),f523(x25192,x25193,x25194))
% 207.26/207.91 [2520]~E(x25201,x25202)+E(f523(x25203,x25201,x25204),f523(x25203,x25202,x25204))
% 207.26/207.91 [2521]~E(x25211,x25212)+E(f523(x25213,x25214,x25211),f523(x25213,x25214,x25212))
% 207.26/207.91 [2522]~E(x25221,x25222)+E(f768(x25221,x25223),f768(x25222,x25223))
% 207.26/207.91 [2523]~E(x25231,x25232)+E(f768(x25233,x25231),f768(x25233,x25232))
% 207.26/207.91 [2524]~E(x25241,x25242)+E(f392(x25241,x25243),f392(x25242,x25243))
% 207.26/207.91 [2525]~E(x25251,x25252)+E(f392(x25253,x25251),f392(x25253,x25252))
% 207.26/207.91 [2526]~E(x25261,x25262)+E(f351(x25261,x25263,x25264),f351(x25262,x25263,x25264))
% 207.26/207.91 [2527]~E(x25271,x25272)+E(f351(x25273,x25271,x25274),f351(x25273,x25272,x25274))
% 207.26/207.91 [2528]~E(x25281,x25282)+E(f351(x25283,x25284,x25281),f351(x25283,x25284,x25282))
% 207.26/207.91 [2529]~E(x25291,x25292)+E(f202(x25291),f202(x25292))
% 207.26/207.91 [2530]~E(x25301,x25302)+E(f338(x25301,x25303),f338(x25302,x25303))
% 207.26/207.91 [2531]~E(x25311,x25312)+E(f338(x25313,x25311),f338(x25313,x25312))
% 207.26/207.91 [2532]~E(x25321,x25322)+E(f650(x25321,x25323,x25324,x25325,x25326),f650(x25322,x25323,x25324,x25325,x25326))
% 207.26/207.91 [2533]~E(x25331,x25332)+E(f650(x25333,x25331,x25334,x25335,x25336),f650(x25333,x25332,x25334,x25335,x25336))
% 207.26/207.91 [2534]~E(x25341,x25342)+E(f650(x25343,x25344,x25341,x25345,x25346),f650(x25343,x25344,x25342,x25345,x25346))
% 207.26/207.91 [2535]~E(x25351,x25352)+E(f650(x25353,x25354,x25355,x25351,x25356),f650(x25353,x25354,x25355,x25352,x25356))
% 207.26/207.91 [2536]~E(x25361,x25362)+E(f650(x25363,x25364,x25365,x25366,x25361),f650(x25363,x25364,x25365,x25366,x25362))
% 207.26/207.91 [2537]~E(x25371,x25372)+E(f362(x25371,x25373),f362(x25372,x25373))
% 207.26/207.91 [2538]~E(x25381,x25382)+E(f362(x25383,x25381),f362(x25383,x25382))
% 207.26/207.91 [2539]~E(x25391,x25392)+E(f753(x25391,x25393,x25394),f753(x25392,x25393,x25394))
% 207.26/207.91 [2540]~E(x25401,x25402)+E(f753(x25403,x25401,x25404),f753(x25403,x25402,x25404))
% 207.26/207.91 [2541]~E(x25411,x25412)+E(f753(x25413,x25414,x25411),f753(x25413,x25414,x25412))
% 207.26/207.91 [2542]~E(x25421,x25422)+E(f163(x25421,x25423),f163(x25422,x25423))
% 207.26/207.91 [2543]~E(x25431,x25432)+E(f163(x25433,x25431),f163(x25433,x25432))
% 207.26/207.91 [2544]~E(x25441,x25442)+E(f904(x25441,x25443,x25444,x25445,x25446),f904(x25442,x25443,x25444,x25445,x25446))
% 207.26/207.91 [2545]~E(x25451,x25452)+E(f904(x25453,x25451,x25454,x25455,x25456),f904(x25453,x25452,x25454,x25455,x25456))
% 207.26/207.91 [2546]~E(x25461,x25462)+E(f904(x25463,x25464,x25461,x25465,x25466),f904(x25463,x25464,x25462,x25465,x25466))
% 207.26/207.91 [2547]~E(x25471,x25472)+E(f904(x25473,x25474,x25475,x25471,x25476),f904(x25473,x25474,x25475,x25472,x25476))
% 207.26/207.91 [2548]~E(x25481,x25482)+E(f904(x25483,x25484,x25485,x25486,x25481),f904(x25483,x25484,x25485,x25486,x25482))
% 207.26/207.91 [2549]~E(x25491,x25492)+E(f471(x25491,x25493,x25494),f471(x25492,x25493,x25494))
% 207.26/207.91 [2550]~E(x25501,x25502)+E(f471(x25503,x25501,x25504),f471(x25503,x25502,x25504))
% 207.26/207.91 [2551]~E(x25511,x25512)+E(f471(x25513,x25514,x25511),f471(x25513,x25514,x25512))
% 207.26/207.91 [2552]~E(x25521,x25522)+E(f603(x25521,x25523,x25524),f603(x25522,x25523,x25524))
% 207.26/207.91 [2553]~E(x25531,x25532)+E(f603(x25533,x25531,x25534),f603(x25533,x25532,x25534))
% 207.26/207.91 [2554]~E(x25541,x25542)+E(f603(x25543,x25544,x25541),f603(x25543,x25544,x25542))
% 207.26/207.91 [2555]~E(x25551,x25552)+E(f542(x25551,x25553),f542(x25552,x25553))
% 207.26/207.91 [2556]~E(x25561,x25562)+E(f542(x25563,x25561),f542(x25563,x25562))
% 207.26/207.91 [2557]~E(x25571,x25572)+E(f96(x25571,x25573,x25574,x25575),f96(x25572,x25573,x25574,x25575))
% 207.26/207.91 [2558]~E(x25581,x25582)+E(f96(x25583,x25581,x25584,x25585),f96(x25583,x25582,x25584,x25585))
% 207.26/207.91 [2559]~E(x25591,x25592)+E(f96(x25593,x25594,x25591,x25595),f96(x25593,x25594,x25592,x25595))
% 207.26/207.91 [2560]~E(x25601,x25602)+E(f96(x25603,x25604,x25605,x25601),f96(x25603,x25604,x25605,x25602))
% 207.26/207.91 [2561]~E(x25611,x25612)+E(f693(x25611,x25613),f693(x25612,x25613))
% 207.26/207.91 [2562]~E(x25621,x25622)+E(f693(x25623,x25621),f693(x25623,x25622))
% 207.26/207.91 [2563]~E(x25631,x25632)+E(f532(x25631,x25633,x25634,x25635),f532(x25632,x25633,x25634,x25635))
% 207.26/207.91 [2564]~E(x25641,x25642)+E(f532(x25643,x25641,x25644,x25645),f532(x25643,x25642,x25644,x25645))
% 207.26/207.91 [2565]~E(x25651,x25652)+E(f532(x25653,x25654,x25651,x25655),f532(x25653,x25654,x25652,x25655))
% 207.26/207.91 [2566]~E(x25661,x25662)+E(f532(x25663,x25664,x25665,x25661),f532(x25663,x25664,x25665,x25662))
% 207.26/207.91 [2567]~E(x25671,x25672)+E(f501(x25671,x25673,x25674,x25675),f501(x25672,x25673,x25674,x25675))
% 207.26/207.91 [2568]~E(x25681,x25682)+E(f501(x25683,x25681,x25684,x25685),f501(x25683,x25682,x25684,x25685))
% 207.26/207.91 [2569]~E(x25691,x25692)+E(f501(x25693,x25694,x25691,x25695),f501(x25693,x25694,x25692,x25695))
% 207.26/207.91 [2570]~E(x25701,x25702)+E(f501(x25703,x25704,x25705,x25701),f501(x25703,x25704,x25705,x25702))
% 207.26/207.91 [2571]~E(x25711,x25712)+E(f741(x25711,x25713,x25714,x25715,x25716),f741(x25712,x25713,x25714,x25715,x25716))
% 207.26/207.91 [2572]~E(x25721,x25722)+E(f741(x25723,x25721,x25724,x25725,x25726),f741(x25723,x25722,x25724,x25725,x25726))
% 207.26/207.91 [2573]~E(x25731,x25732)+E(f741(x25733,x25734,x25731,x25735,x25736),f741(x25733,x25734,x25732,x25735,x25736))
% 207.26/207.91 [2574]~E(x25741,x25742)+E(f741(x25743,x25744,x25745,x25741,x25746),f741(x25743,x25744,x25745,x25742,x25746))
% 207.26/207.91 [2575]~E(x25751,x25752)+E(f741(x25753,x25754,x25755,x25756,x25751),f741(x25753,x25754,x25755,x25756,x25752))
% 207.26/207.91 [2576]~E(x25761,x25762)+E(f389(x25761,x25763),f389(x25762,x25763))
% 207.26/207.91 [2577]~E(x25771,x25772)+E(f389(x25773,x25771),f389(x25773,x25772))
% 207.26/207.91 [2578]~E(x25781,x25782)+E(f775(x25781,x25783),f775(x25782,x25783))
% 207.26/207.91 [2579]~E(x25791,x25792)+E(f775(x25793,x25791),f775(x25793,x25792))
% 207.26/207.91 [2580]~E(x25801,x25802)+E(f209(x25801,x25803,x25804,x25805,x25806,x25807,x25808),f209(x25802,x25803,x25804,x25805,x25806,x25807,x25808))
% 207.26/207.91 [2581]~E(x25811,x25812)+E(f209(x25813,x25811,x25814,x25815,x25816,x25817,x25818),f209(x25813,x25812,x25814,x25815,x25816,x25817,x25818))
% 207.26/207.91 [2582]~E(x25821,x25822)+E(f209(x25823,x25824,x25821,x25825,x25826,x25827,x25828),f209(x25823,x25824,x25822,x25825,x25826,x25827,x25828))
% 207.26/207.91 [2583]~E(x25831,x25832)+E(f209(x25833,x25834,x25835,x25831,x25836,x25837,x25838),f209(x25833,x25834,x25835,x25832,x25836,x25837,x25838))
% 207.26/207.91 [2584]~E(x25841,x25842)+E(f209(x25843,x25844,x25845,x25846,x25841,x25847,x25848),f209(x25843,x25844,x25845,x25846,x25842,x25847,x25848))
% 207.26/207.91 [2585]~E(x25851,x25852)+E(f209(x25853,x25854,x25855,x25856,x25857,x25851,x25858),f209(x25853,x25854,x25855,x25856,x25857,x25852,x25858))
% 207.26/207.91 [2586]~E(x25861,x25862)+E(f209(x25863,x25864,x25865,x25866,x25867,x25868,x25861),f209(x25863,x25864,x25865,x25866,x25867,x25868,x25862))
% 207.26/207.91 [2587]~E(x25871,x25872)+E(f844(x25871,x25873,x25874,x25875,x25876,x25877),f844(x25872,x25873,x25874,x25875,x25876,x25877))
% 207.26/207.91 [2588]~E(x25881,x25882)+E(f844(x25883,x25881,x25884,x25885,x25886,x25887),f844(x25883,x25882,x25884,x25885,x25886,x25887))
% 207.26/207.91 [2589]~E(x25891,x25892)+E(f844(x25893,x25894,x25891,x25895,x25896,x25897),f844(x25893,x25894,x25892,x25895,x25896,x25897))
% 207.26/207.91 [2590]~E(x25901,x25902)+E(f844(x25903,x25904,x25905,x25901,x25906,x25907),f844(x25903,x25904,x25905,x25902,x25906,x25907))
% 207.26/207.91 [2591]~E(x25911,x25912)+E(f844(x25913,x25914,x25915,x25916,x25911,x25917),f844(x25913,x25914,x25915,x25916,x25912,x25917))
% 207.26/207.91 [2592]~E(x25921,x25922)+E(f844(x25923,x25924,x25925,x25926,x25927,x25921),f844(x25923,x25924,x25925,x25926,x25927,x25922))
% 207.26/207.91 [2593]~E(x25931,x25932)+E(f443(x25931,x25933),f443(x25932,x25933))
% 207.26/207.91 [2594]~E(x25941,x25942)+E(f443(x25943,x25941),f443(x25943,x25942))
% 207.26/207.91 [2595]~E(x25951,x25952)+E(f868(x25951,x25953,x25954),f868(x25952,x25953,x25954))
% 207.26/207.91 [2596]~E(x25961,x25962)+E(f868(x25963,x25961,x25964),f868(x25963,x25962,x25964))
% 207.26/207.91 [2597]~E(x25971,x25972)+E(f868(x25973,x25974,x25971),f868(x25973,x25974,x25972))
% 207.26/207.91 [2598]~E(x25981,x25982)+E(f45(x25981),f45(x25982))
% 207.26/207.91 [2599]~E(x25991,x25992)+E(f551(x25991,x25993,x25994,x25995),f551(x25992,x25993,x25994,x25995))
% 207.26/207.91 [2600]~E(x26001,x26002)+E(f551(x26003,x26001,x26004,x26005),f551(x26003,x26002,x26004,x26005))
% 207.26/207.91 [2601]~E(x26011,x26012)+E(f551(x26013,x26014,x26011,x26015),f551(x26013,x26014,x26012,x26015))
% 207.26/207.91 [2602]~E(x26021,x26022)+E(f551(x26023,x26024,x26025,x26021),f551(x26023,x26024,x26025,x26022))
% 207.26/207.91 [2603]~E(x26031,x26032)+E(f907(x26031,x26033,x26034,x26035),f907(x26032,x26033,x26034,x26035))
% 207.26/207.91 [2604]~E(x26041,x26042)+E(f907(x26043,x26041,x26044,x26045),f907(x26043,x26042,x26044,x26045))
% 207.26/207.91 [2605]~E(x26051,x26052)+E(f907(x26053,x26054,x26051,x26055),f907(x26053,x26054,x26052,x26055))
% 207.26/207.91 [2606]~E(x26061,x26062)+E(f907(x26063,x26064,x26065,x26061),f907(x26063,x26064,x26065,x26062))
% 207.26/207.91 [2607]~E(x26071,x26072)+E(f446(x26071,x26073),f446(x26072,x26073))
% 207.26/207.91 [2608]~E(x26081,x26082)+E(f446(x26083,x26081),f446(x26083,x26082))
% 207.26/207.91 [2609]~E(x26091,x26092)+E(f872(x26091,x26093,x26094,x26095),f872(x26092,x26093,x26094,x26095))
% 207.26/207.91 [2610]~E(x26101,x26102)+E(f872(x26103,x26101,x26104,x26105),f872(x26103,x26102,x26104,x26105))
% 207.26/207.91 [2611]~E(x26111,x26112)+E(f872(x26113,x26114,x26111,x26115),f872(x26113,x26114,x26112,x26115))
% 207.26/207.91 [2612]~E(x26121,x26122)+E(f872(x26123,x26124,x26125,x26121),f872(x26123,x26124,x26125,x26122))
% 207.26/207.91 [2613]~E(x26131,x26132)+E(f824(x26131,x26133,x26134),f824(x26132,x26133,x26134))
% 207.26/207.91 [2614]~E(x26141,x26142)+E(f824(x26143,x26141,x26144),f824(x26143,x26142,x26144))
% 207.26/207.91 [2615]~E(x26151,x26152)+E(f824(x26153,x26154,x26151),f824(x26153,x26154,x26152))
% 207.26/207.91 [2616]~E(x26161,x26162)+E(f447(x26161,x26163),f447(x26162,x26163))
% 207.26/207.91 [2617]~E(x26171,x26172)+E(f447(x26173,x26171),f447(x26173,x26172))
% 207.26/207.91 [2618]~E(x26181,x26182)+E(f503(x26181,x26183,x26184),f503(x26182,x26183,x26184))
% 207.26/207.91 [2619]~E(x26191,x26192)+E(f503(x26193,x26191,x26194),f503(x26193,x26192,x26194))
% 207.26/207.91 [2620]~E(x26201,x26202)+E(f503(x26203,x26204,x26201),f503(x26203,x26204,x26202))
% 207.26/207.91 [2621]~E(x26211,x26212)+E(f527(x26211,x26213,x26214),f527(x26212,x26213,x26214))
% 207.26/207.91 [2622]~E(x26221,x26222)+E(f527(x26223,x26221,x26224),f527(x26223,x26222,x26224))
% 207.26/207.91 [2623]~E(x26231,x26232)+E(f527(x26233,x26234,x26231),f527(x26233,x26234,x26232))
% 207.26/207.91 [2624]~E(x26241,x26242)+E(f709(x26241,x26243,x26244),f709(x26242,x26243,x26244))
% 207.26/207.91 [2625]~E(x26251,x26252)+E(f709(x26253,x26251,x26254),f709(x26253,x26252,x26254))
% 207.26/207.91 [2626]~E(x26261,x26262)+E(f709(x26263,x26264,x26261),f709(x26263,x26264,x26262))
% 207.26/207.91 [2627]~E(x26271,x26272)+E(f42(x26271),f42(x26272))
% 207.26/207.91 [2628]~E(x26281,x26282)+E(f639(x26281,x26283,x26284,x26285,x26286,x26287),f639(x26282,x26283,x26284,x26285,x26286,x26287))
% 207.26/207.91 [2629]~E(x26291,x26292)+E(f639(x26293,x26291,x26294,x26295,x26296,x26297),f639(x26293,x26292,x26294,x26295,x26296,x26297))
% 207.26/207.91 [2630]~E(x26301,x26302)+E(f639(x26303,x26304,x26301,x26305,x26306,x26307),f639(x26303,x26304,x26302,x26305,x26306,x26307))
% 207.26/207.91 [2631]~E(x26311,x26312)+E(f639(x26313,x26314,x26315,x26311,x26316,x26317),f639(x26313,x26314,x26315,x26312,x26316,x26317))
% 207.26/207.91 [2632]~E(x26321,x26322)+E(f639(x26323,x26324,x26325,x26326,x26321,x26327),f639(x26323,x26324,x26325,x26326,x26322,x26327))
% 207.26/207.91 [2633]~E(x26331,x26332)+E(f639(x26333,x26334,x26335,x26336,x26337,x26331),f639(x26333,x26334,x26335,x26336,x26337,x26332))
% 207.26/207.91 [2634]~E(x26341,x26342)+E(f123(x26341,x26343,x26344,x26345),f123(x26342,x26343,x26344,x26345))
% 207.26/207.91 [2635]~E(x26351,x26352)+E(f123(x26353,x26351,x26354,x26355),f123(x26353,x26352,x26354,x26355))
% 207.26/207.91 [2636]~E(x26361,x26362)+E(f123(x26363,x26364,x26361,x26365),f123(x26363,x26364,x26362,x26365))
% 207.26/207.91 [2637]~E(x26371,x26372)+E(f123(x26373,x26374,x26375,x26371),f123(x26373,x26374,x26375,x26372))
% 207.26/207.91 [2638]~E(x26381,x26382)+E(f208(x26381,x26383,x26384,x26385),f208(x26382,x26383,x26384,x26385))
% 207.26/207.91 [2639]~E(x26391,x26392)+E(f208(x26393,x26391,x26394,x26395),f208(x26393,x26392,x26394,x26395))
% 207.26/207.91 [2640]~E(x26401,x26402)+E(f208(x26403,x26404,x26401,x26405),f208(x26403,x26404,x26402,x26405))
% 207.26/207.91 [2641]~E(x26411,x26412)+E(f208(x26413,x26414,x26415,x26411),f208(x26413,x26414,x26415,x26412))
% 207.26/207.91 [2642]~E(x26421,x26422)+E(f568(x26421,x26423),f568(x26422,x26423))
% 207.26/207.91 [2643]~E(x26431,x26432)+E(f568(x26433,x26431),f568(x26433,x26432))
% 207.26/207.91 [2644]~E(x26441,x26442)+E(f848(x26441,x26443,x26444,x26445,x26446,x26447),f848(x26442,x26443,x26444,x26445,x26446,x26447))
% 207.26/207.91 [2645]~E(x26451,x26452)+E(f848(x26453,x26451,x26454,x26455,x26456,x26457),f848(x26453,x26452,x26454,x26455,x26456,x26457))
% 207.26/207.91 [2646]~E(x26461,x26462)+E(f848(x26463,x26464,x26461,x26465,x26466,x26467),f848(x26463,x26464,x26462,x26465,x26466,x26467))
% 207.26/207.91 [2647]~E(x26471,x26472)+E(f848(x26473,x26474,x26475,x26471,x26476,x26477),f848(x26473,x26474,x26475,x26472,x26476,x26477))
% 207.26/207.91 [2648]~E(x26481,x26482)+E(f848(x26483,x26484,x26485,x26486,x26481,x26487),f848(x26483,x26484,x26485,x26486,x26482,x26487))
% 207.26/207.91 [2649]~E(x26491,x26492)+E(f848(x26493,x26494,x26495,x26496,x26497,x26491),f848(x26493,x26494,x26495,x26496,x26497,x26492))
% 207.26/207.91 [2650]~E(x26501,x26502)+E(f597(x26501,x26503,x26504,x26505,x26506),f597(x26502,x26503,x26504,x26505,x26506))
% 207.26/207.91 [2651]~E(x26511,x26512)+E(f597(x26513,x26511,x26514,x26515,x26516),f597(x26513,x26512,x26514,x26515,x26516))
% 207.26/207.91 [2652]~E(x26521,x26522)+E(f597(x26523,x26524,x26521,x26525,x26526),f597(x26523,x26524,x26522,x26525,x26526))
% 207.26/207.91 [2653]~E(x26531,x26532)+E(f597(x26533,x26534,x26535,x26531,x26536),f597(x26533,x26534,x26535,x26532,x26536))
% 207.26/207.91 [2654]~E(x26541,x26542)+E(f597(x26543,x26544,x26545,x26546,x26541),f597(x26543,x26544,x26545,x26546,x26542))
% 207.26/207.91 [2655]~E(x26551,x26552)+E(f73(x26551,x26553),f73(x26552,x26553))
% 207.26/207.91 [2656]~E(x26561,x26562)+E(f73(x26563,x26561),f73(x26563,x26562))
% 207.26/207.91 [2657]~E(x26571,x26572)+E(f773(x26571),f773(x26572))
% 207.26/207.91 [2658]~E(x26581,x26582)+E(f466(x26581,x26583,x26584),f466(x26582,x26583,x26584))
% 207.26/207.91 [2659]~E(x26591,x26592)+E(f466(x26593,x26591,x26594),f466(x26593,x26592,x26594))
% 207.26/207.91 [2660]~E(x26601,x26602)+E(f466(x26603,x26604,x26601),f466(x26603,x26604,x26602))
% 207.26/207.91 [2661]~E(x26611,x26612)+E(f795(x26611,x26613,x26614,x26615,x26616),f795(x26612,x26613,x26614,x26615,x26616))
% 207.26/207.91 [2662]~E(x26621,x26622)+E(f795(x26623,x26621,x26624,x26625,x26626),f795(x26623,x26622,x26624,x26625,x26626))
% 207.26/207.91 [2663]~E(x26631,x26632)+E(f795(x26633,x26634,x26631,x26635,x26636),f795(x26633,x26634,x26632,x26635,x26636))
% 207.26/207.91 [2664]~E(x26641,x26642)+E(f795(x26643,x26644,x26645,x26641,x26646),f795(x26643,x26644,x26645,x26642,x26646))
% 207.26/207.91 [2665]~E(x26651,x26652)+E(f795(x26653,x26654,x26655,x26656,x26651),f795(x26653,x26654,x26655,x26656,x26652))
% 207.26/207.91 [2666]~E(x26661,x26662)+E(f485(x26661,x26663,x26664,x26665,x26666,x26667,x26668),f485(x26662,x26663,x26664,x26665,x26666,x26667,x26668))
% 207.26/207.91 [2667]~E(x26671,x26672)+E(f485(x26673,x26671,x26674,x26675,x26676,x26677,x26678),f485(x26673,x26672,x26674,x26675,x26676,x26677,x26678))
% 207.26/207.91 [2668]~E(x26681,x26682)+E(f485(x26683,x26684,x26681,x26685,x26686,x26687,x26688),f485(x26683,x26684,x26682,x26685,x26686,x26687,x26688))
% 207.26/207.91 [2669]~E(x26691,x26692)+E(f485(x26693,x26694,x26695,x26691,x26696,x26697,x26698),f485(x26693,x26694,x26695,x26692,x26696,x26697,x26698))
% 207.26/207.91 [2670]~E(x26701,x26702)+E(f485(x26703,x26704,x26705,x26706,x26701,x26707,x26708),f485(x26703,x26704,x26705,x26706,x26702,x26707,x26708))
% 207.26/207.91 [2671]~E(x26711,x26712)+E(f485(x26713,x26714,x26715,x26716,x26717,x26711,x26718),f485(x26713,x26714,x26715,x26716,x26717,x26712,x26718))
% 207.26/207.91 [2672]~E(x26721,x26722)+E(f485(x26723,x26724,x26725,x26726,x26727,x26728,x26721),f485(x26723,x26724,x26725,x26726,x26727,x26728,x26722))
% 207.26/207.91 [2673]~E(x26731,x26732)+E(f766(x26731,x26733,x26734,x26735),f766(x26732,x26733,x26734,x26735))
% 207.26/207.91 [2674]~E(x26741,x26742)+E(f766(x26743,x26741,x26744,x26745),f766(x26743,x26742,x26744,x26745))
% 207.26/207.91 [2675]~E(x26751,x26752)+E(f766(x26753,x26754,x26751,x26755),f766(x26753,x26754,x26752,x26755))
% 207.26/207.91 [2676]~E(x26761,x26762)+E(f766(x26763,x26764,x26765,x26761),f766(x26763,x26764,x26765,x26762))
% 207.26/207.91 [2677]~E(x26771,x26772)+E(f405(x26771,x26773),f405(x26772,x26773))
% 207.26/207.91 [2678]~E(x26781,x26782)+E(f405(x26783,x26781),f405(x26783,x26782))
% 207.26/207.91 [2679]~E(x26791,x26792)+E(f580(x26791,x26793,x26794),f580(x26792,x26793,x26794))
% 207.26/207.91 [2680]~E(x26801,x26802)+E(f580(x26803,x26801,x26804),f580(x26803,x26802,x26804))
% 207.26/207.91 [2681]~E(x26811,x26812)+E(f580(x26813,x26814,x26811),f580(x26813,x26814,x26812))
% 207.26/207.91 [2682]~E(x26821,x26822)+E(f17(x26821,x26823,x26824,x26825),f17(x26822,x26823,x26824,x26825))
% 207.26/207.91 [2683]~E(x26831,x26832)+E(f17(x26833,x26831,x26834,x26835),f17(x26833,x26832,x26834,x26835))
% 207.26/207.91 [2684]~E(x26841,x26842)+E(f17(x26843,x26844,x26841,x26845),f17(x26843,x26844,x26842,x26845))
% 207.26/207.91 [2685]~E(x26851,x26852)+E(f17(x26853,x26854,x26855,x26851),f17(x26853,x26854,x26855,x26852))
% 207.26/207.91 [2686]~E(x26861,x26862)+E(f894(x26861,x26863,x26864,x26865,x26866),f894(x26862,x26863,x26864,x26865,x26866))
% 207.26/207.91 [2687]~E(x26871,x26872)+E(f894(x26873,x26871,x26874,x26875,x26876),f894(x26873,x26872,x26874,x26875,x26876))
% 207.26/207.91 [2688]~E(x26881,x26882)+E(f894(x26883,x26884,x26881,x26885,x26886),f894(x26883,x26884,x26882,x26885,x26886))
% 207.26/207.91 [2689]~E(x26891,x26892)+E(f894(x26893,x26894,x26895,x26891,x26896),f894(x26893,x26894,x26895,x26892,x26896))
% 207.26/207.91 [2690]~E(x26901,x26902)+E(f894(x26903,x26904,x26905,x26906,x26901),f894(x26903,x26904,x26905,x26906,x26902))
% 207.26/207.91 [2691]~E(x26911,x26912)+E(f383(x26911,x26913,x26914,x26915,x26916),f383(x26912,x26913,x26914,x26915,x26916))
% 207.26/207.91 [2692]~E(x26921,x26922)+E(f383(x26923,x26921,x26924,x26925,x26926),f383(x26923,x26922,x26924,x26925,x26926))
% 207.26/207.91 [2693]~E(x26931,x26932)+E(f383(x26933,x26934,x26931,x26935,x26936),f383(x26933,x26934,x26932,x26935,x26936))
% 207.26/207.91 [2694]~E(x26941,x26942)+E(f383(x26943,x26944,x26945,x26941,x26946),f383(x26943,x26944,x26945,x26942,x26946))
% 207.26/207.91 [2695]~E(x26951,x26952)+E(f383(x26953,x26954,x26955,x26956,x26951),f383(x26953,x26954,x26955,x26956,x26952))
% 207.26/207.91 [2696]~E(x26961,x26962)+E(f395(x26961,x26963,x26964),f395(x26962,x26963,x26964))
% 207.26/207.91 [2697]~E(x26971,x26972)+E(f395(x26973,x26971,x26974),f395(x26973,x26972,x26974))
% 207.26/207.91 [2698]~E(x26981,x26982)+E(f395(x26983,x26984,x26981),f395(x26983,x26984,x26982))
% 207.26/207.91 [2699]~E(x26991,x26992)+E(f660(x26991,x26993),f660(x26992,x26993))
% 207.26/207.91 [2700]~E(x27001,x27002)+E(f660(x27003,x27001),f660(x27003,x27002))
% 207.26/207.91 [2701]~E(x27011,x27012)+E(f518(x27011,x27013,x27014),f518(x27012,x27013,x27014))
% 207.26/207.91 [2702]~E(x27021,x27022)+E(f518(x27023,x27021,x27024),f518(x27023,x27022,x27024))
% 207.26/207.91 [2703]~E(x27031,x27032)+E(f518(x27033,x27034,x27031),f518(x27033,x27034,x27032))
% 207.26/207.91 [2704]~E(x27041,x27042)+E(f415(x27041,x27043,x27044),f415(x27042,x27043,x27044))
% 207.26/207.91 [2705]~E(x27051,x27052)+E(f415(x27053,x27051,x27054),f415(x27053,x27052,x27054))
% 207.26/207.91 [2706]~E(x27061,x27062)+E(f415(x27063,x27064,x27061),f415(x27063,x27064,x27062))
% 207.26/207.91 [2707]~E(x27071,x27072)+E(f797(x27071,x27073),f797(x27072,x27073))
% 207.26/207.91 [2708]~E(x27081,x27082)+E(f797(x27083,x27081),f797(x27083,x27082))
% 207.26/207.91 [2709]~E(x27091,x27092)+E(f885(x27091),f885(x27092))
% 207.26/207.91 [2710]~E(x27101,x27102)+E(f420(x27101,x27103,x27104,x27105),f420(x27102,x27103,x27104,x27105))
% 207.26/207.91 [2711]~E(x27111,x27112)+E(f420(x27113,x27111,x27114,x27115),f420(x27113,x27112,x27114,x27115))
% 207.26/207.91 [2712]~E(x27121,x27122)+E(f420(x27123,x27124,x27121,x27125),f420(x27123,x27124,x27122,x27125))
% 207.26/207.91 [2713]~E(x27131,x27132)+E(f420(x27133,x27134,x27135,x27131),f420(x27133,x27134,x27135,x27132))
% 207.26/207.91 [2714]~E(x27141,x27142)+E(f704(x27141,x27143),f704(x27142,x27143))
% 207.26/207.91 [2715]~E(x27151,x27152)+E(f704(x27153,x27151),f704(x27153,x27152))
% 207.26/207.91 [2716]~E(x27161,x27162)+E(f388(x27161,x27163),f388(x27162,x27163))
% 207.26/207.91 [2717]~E(x27171,x27172)+E(f388(x27173,x27171),f388(x27173,x27172))
% 207.26/207.91 [2718]~E(x27181,x27182)+E(f708(x27181,x27183,x27184),f708(x27182,x27183,x27184))
% 207.26/207.91 [2719]~E(x27191,x27192)+E(f708(x27193,x27191,x27194),f708(x27193,x27192,x27194))
% 207.26/207.91 [2720]~E(x27201,x27202)+E(f708(x27203,x27204,x27201),f708(x27203,x27204,x27202))
% 207.26/207.91 [2721]~E(x27211,x27212)+E(f654(x27211,x27213,x27214),f654(x27212,x27213,x27214))
% 207.26/207.91 [2722]~E(x27221,x27222)+E(f654(x27223,x27221,x27224),f654(x27223,x27222,x27224))
% 207.26/207.91 [2723]~E(x27231,x27232)+E(f654(x27233,x27234,x27231),f654(x27233,x27234,x27232))
% 207.26/207.91 [2724]~E(x27241,x27242)+E(f566(x27241,x27243),f566(x27242,x27243))
% 207.26/207.91 [2725]~E(x27251,x27252)+E(f566(x27253,x27251),f566(x27253,x27252))
% 207.26/207.91 [2726]~E(x27261,x27262)+E(f352(x27261,x27263,x27264,x27265),f352(x27262,x27263,x27264,x27265))
% 207.26/207.91 [2727]~E(x27271,x27272)+E(f352(x27273,x27271,x27274,x27275),f352(x27273,x27272,x27274,x27275))
% 207.26/207.91 [2728]~E(x27281,x27282)+E(f352(x27283,x27284,x27281,x27285),f352(x27283,x27284,x27282,x27285))
% 207.26/207.91 [2729]~E(x27291,x27292)+E(f352(x27293,x27294,x27295,x27291),f352(x27293,x27294,x27295,x27292))
% 207.26/207.91 [2730]~E(x27301,x27302)+E(f724(x27301,x27303,x27304,x27305),f724(x27302,x27303,x27304,x27305))
% 207.26/207.91 [2731]~E(x27311,x27312)+E(f724(x27313,x27311,x27314,x27315),f724(x27313,x27312,x27314,x27315))
% 207.26/207.91 [2732]~E(x27321,x27322)+E(f724(x27323,x27324,x27321,x27325),f724(x27323,x27324,x27322,x27325))
% 207.26/207.91 [2733]~E(x27331,x27332)+E(f724(x27333,x27334,x27335,x27331),f724(x27333,x27334,x27335,x27332))
% 207.26/207.91 [2734]~E(x27341,x27342)+E(f473(x27341,x27343,x27344),f473(x27342,x27343,x27344))
% 207.26/207.91 [2735]~E(x27351,x27352)+E(f473(x27353,x27351,x27354),f473(x27353,x27352,x27354))
% 207.26/207.91 [2736]~E(x27361,x27362)+E(f473(x27363,x27364,x27361),f473(x27363,x27364,x27362))
% 207.26/207.91 [2737]~E(x27371,x27372)+E(f422(x27371,x27373,x27374,x27375),f422(x27372,x27373,x27374,x27375))
% 207.26/207.91 [2738]~E(x27381,x27382)+E(f422(x27383,x27381,x27384,x27385),f422(x27383,x27382,x27384,x27385))
% 207.26/207.91 [2739]~E(x27391,x27392)+E(f422(x27393,x27394,x27391,x27395),f422(x27393,x27394,x27392,x27395))
% 207.26/207.91 [2740]~E(x27401,x27402)+E(f422(x27403,x27404,x27405,x27401),f422(x27403,x27404,x27405,x27402))
% 207.26/207.91 [2741]~E(x27411,x27412)+E(f497(x27411,x27413,x27414,x27415),f497(x27412,x27413,x27414,x27415))
% 207.26/207.91 [2742]~E(x27421,x27422)+E(f497(x27423,x27421,x27424,x27425),f497(x27423,x27422,x27424,x27425))
% 207.26/207.91 [2743]~E(x27431,x27432)+E(f497(x27433,x27434,x27431,x27435),f497(x27433,x27434,x27432,x27435))
% 207.26/207.91 [2744]~E(x27441,x27442)+E(f497(x27443,x27444,x27445,x27441),f497(x27443,x27444,x27445,x27442))
% 207.26/207.91 [2745]~E(x27451,x27452)+E(f274(x27451,x27453,x27454),f274(x27452,x27453,x27454))
% 207.26/207.91 [2746]~E(x27461,x27462)+E(f274(x27463,x27461,x27464),f274(x27463,x27462,x27464))
% 207.26/207.91 [2747]~E(x27471,x27472)+E(f274(x27473,x27474,x27471),f274(x27473,x27474,x27472))
% 207.26/207.91 [2748]~E(x27481,x27482)+E(f350(x27481,x27483,x27484,x27485),f350(x27482,x27483,x27484,x27485))
% 207.26/207.91 [2749]~E(x27491,x27492)+E(f350(x27493,x27491,x27494,x27495),f350(x27493,x27492,x27494,x27495))
% 207.26/207.91 [2750]~E(x27501,x27502)+E(f350(x27503,x27504,x27501,x27505),f350(x27503,x27504,x27502,x27505))
% 207.26/207.91 [2751]~E(x27511,x27512)+E(f350(x27513,x27514,x27515,x27511),f350(x27513,x27514,x27515,x27512))
% 207.26/207.91 [2752]~E(x27521,x27522)+E(f822(x27521,x27523,x27524,x27525,x27526,x27527),f822(x27522,x27523,x27524,x27525,x27526,x27527))
% 207.26/207.91 [2753]~E(x27531,x27532)+E(f822(x27533,x27531,x27534,x27535,x27536,x27537),f822(x27533,x27532,x27534,x27535,x27536,x27537))
% 207.26/207.91 [2754]~E(x27541,x27542)+E(f822(x27543,x27544,x27541,x27545,x27546,x27547),f822(x27543,x27544,x27542,x27545,x27546,x27547))
% 207.26/207.91 [2755]~E(x27551,x27552)+E(f822(x27553,x27554,x27555,x27551,x27556,x27557),f822(x27553,x27554,x27555,x27552,x27556,x27557))
% 207.26/207.91 [2756]~E(x27561,x27562)+E(f822(x27563,x27564,x27565,x27566,x27561,x27567),f822(x27563,x27564,x27565,x27566,x27562,x27567))
% 207.26/207.91 [2757]~E(x27571,x27572)+E(f822(x27573,x27574,x27575,x27576,x27577,x27571),f822(x27573,x27574,x27575,x27576,x27577,x27572))
% 207.26/207.91 [2758]~E(x27581,x27582)+E(f278(x27581),f278(x27582))
% 207.26/207.91 [2759]~E(x27591,x27592)+E(f611(x27591,x27593),f611(x27592,x27593))
% 207.26/207.91 [2760]~E(x27601,x27602)+E(f611(x27603,x27601),f611(x27603,x27602))
% 207.26/207.91 [2761]~E(x27611,x27612)+E(f381(x27611,x27613),f381(x27612,x27613))
% 207.26/207.91 [2762]~E(x27621,x27622)+E(f381(x27623,x27621),f381(x27623,x27622))
% 207.26/207.91 [2763]~E(x27631,x27632)+E(f692(x27631,x27633),f692(x27632,x27633))
% 207.26/207.91 [2764]~E(x27641,x27642)+E(f692(x27643,x27641),f692(x27643,x27642))
% 207.26/207.91 [2765]~E(x27651,x27652)+E(f715(x27651,x27653,x27654,x27655,x27656),f715(x27652,x27653,x27654,x27655,x27656))
% 207.26/207.91 [2766]~E(x27661,x27662)+E(f715(x27663,x27661,x27664,x27665,x27666),f715(x27663,x27662,x27664,x27665,x27666))
% 207.26/207.91 [2767]~E(x27671,x27672)+E(f715(x27673,x27674,x27671,x27675,x27676),f715(x27673,x27674,x27672,x27675,x27676))
% 207.26/207.91 [2768]~E(x27681,x27682)+E(f715(x27683,x27684,x27685,x27681,x27686),f715(x27683,x27684,x27685,x27682,x27686))
% 207.26/207.91 [2769]~E(x27691,x27692)+E(f715(x27693,x27694,x27695,x27696,x27691),f715(x27693,x27694,x27695,x27696,x27692))
% 207.26/207.91 [2770]~E(x27701,x27702)+E(f873(x27701,x27703,x27704,x27705,x27706),f873(x27702,x27703,x27704,x27705,x27706))
% 207.26/207.91 [2771]~E(x27711,x27712)+E(f873(x27713,x27711,x27714,x27715,x27716),f873(x27713,x27712,x27714,x27715,x27716))
% 207.26/207.91 [2772]~E(x27721,x27722)+E(f873(x27723,x27724,x27721,x27725,x27726),f873(x27723,x27724,x27722,x27725,x27726))
% 207.26/207.91 [2773]~E(x27731,x27732)+E(f873(x27733,x27734,x27735,x27731,x27736),f873(x27733,x27734,x27735,x27732,x27736))
% 207.26/207.91 [2774]~E(x27741,x27742)+E(f873(x27743,x27744,x27745,x27746,x27741),f873(x27743,x27744,x27745,x27746,x27742))
% 207.26/207.91 [2775]~E(x27751,x27752)+E(f557(x27751,x27753,x27754,x27755,x27756,x27757),f557(x27752,x27753,x27754,x27755,x27756,x27757))
% 207.26/207.91 [2776]~E(x27761,x27762)+E(f557(x27763,x27761,x27764,x27765,x27766,x27767),f557(x27763,x27762,x27764,x27765,x27766,x27767))
% 207.26/207.91 [2777]~E(x27771,x27772)+E(f557(x27773,x27774,x27771,x27775,x27776,x27777),f557(x27773,x27774,x27772,x27775,x27776,x27777))
% 207.26/207.91 [2778]~E(x27781,x27782)+E(f557(x27783,x27784,x27785,x27781,x27786,x27787),f557(x27783,x27784,x27785,x27782,x27786,x27787))
% 207.26/207.91 [2779]~E(x27791,x27792)+E(f557(x27793,x27794,x27795,x27796,x27791,x27797),f557(x27793,x27794,x27795,x27796,x27792,x27797))
% 207.26/207.91 [2780]~E(x27801,x27802)+E(f557(x27803,x27804,x27805,x27806,x27807,x27801),f557(x27803,x27804,x27805,x27806,x27807,x27802))
% 207.26/207.91 [2781]~E(x27811,x27812)+E(f200(x27811,x27813,x27814,x27815),f200(x27812,x27813,x27814,x27815))
% 207.26/207.91 [2782]~E(x27821,x27822)+E(f200(x27823,x27821,x27824,x27825),f200(x27823,x27822,x27824,x27825))
% 207.26/207.91 [2783]~E(x27831,x27832)+E(f200(x27833,x27834,x27831,x27835),f200(x27833,x27834,x27832,x27835))
% 207.26/207.91 [2784]~E(x27841,x27842)+E(f200(x27843,x27844,x27845,x27841),f200(x27843,x27844,x27845,x27842))
% 207.26/207.91 [2785]~E(x27851,x27852)+E(f450(x27851,x27853,x27854),f450(x27852,x27853,x27854))
% 207.26/207.91 [2786]~E(x27861,x27862)+E(f450(x27863,x27861,x27864),f450(x27863,x27862,x27864))
% 207.26/207.91 [2787]~E(x27871,x27872)+E(f450(x27873,x27874,x27871),f450(x27873,x27874,x27872))
% 207.26/207.91 [2788]~E(x27881,x27882)+E(f819(x27881,x27883),f819(x27882,x27883))
% 207.26/207.91 [2789]~E(x27891,x27892)+E(f819(x27893,x27891),f819(x27893,x27892))
% 207.26/207.91 [2790]~E(x27901,x27902)+E(f817(x27901,x27903),f817(x27902,x27903))
% 207.26/207.91 [2791]~E(x27911,x27912)+E(f817(x27913,x27911),f817(x27913,x27912))
% 207.26/207.91 [2792]~E(x27921,x27922)+E(f467(x27921,x27923,x27924),f467(x27922,x27923,x27924))
% 207.26/207.91 [2793]~E(x27931,x27932)+E(f467(x27933,x27931,x27934),f467(x27933,x27932,x27934))
% 207.26/207.91 [2794]~E(x27941,x27942)+E(f467(x27943,x27944,x27941),f467(x27943,x27944,x27942))
% 207.26/207.91 [2795]~E(x27951,x27952)+E(f883(x27951),f883(x27952))
% 207.26/207.91 [2796]~E(x27961,x27962)+E(f636(x27961,x27963,x27964,x27965),f636(x27962,x27963,x27964,x27965))
% 207.26/207.91 [2797]~E(x27971,x27972)+E(f636(x27973,x27971,x27974,x27975),f636(x27973,x27972,x27974,x27975))
% 207.26/207.91 [2798]~E(x27981,x27982)+E(f636(x27983,x27984,x27981,x27985),f636(x27983,x27984,x27982,x27985))
% 207.26/207.91 [2799]~E(x27991,x27992)+E(f636(x27993,x27994,x27995,x27991),f636(x27993,x27994,x27995,x27992))
% 207.26/207.91 [2800]~E(x28001,x28002)+E(f686(x28001,x28003,x28004),f686(x28002,x28003,x28004))
% 207.26/207.91 [2801]~E(x28011,x28012)+E(f686(x28013,x28011,x28014),f686(x28013,x28012,x28014))
% 207.26/207.91 [2802]~E(x28021,x28022)+E(f686(x28023,x28024,x28021),f686(x28023,x28024,x28022))
% 207.26/207.91 [2803]~E(x28031,x28032)+E(f786(x28031,x28033,x28034,x28035,x28036,x28037,x28038),f786(x28032,x28033,x28034,x28035,x28036,x28037,x28038))
% 207.26/207.91 [2804]~E(x28041,x28042)+E(f786(x28043,x28041,x28044,x28045,x28046,x28047,x28048),f786(x28043,x28042,x28044,x28045,x28046,x28047,x28048))
% 207.26/207.91 [2805]~E(x28051,x28052)+E(f786(x28053,x28054,x28051,x28055,x28056,x28057,x28058),f786(x28053,x28054,x28052,x28055,x28056,x28057,x28058))
% 207.26/207.91 [2806]~E(x28061,x28062)+E(f786(x28063,x28064,x28065,x28061,x28066,x28067,x28068),f786(x28063,x28064,x28065,x28062,x28066,x28067,x28068))
% 207.26/207.91 [2807]~E(x28071,x28072)+E(f786(x28073,x28074,x28075,x28076,x28071,x28077,x28078),f786(x28073,x28074,x28075,x28076,x28072,x28077,x28078))
% 207.26/207.91 [2808]~E(x28081,x28082)+E(f786(x28083,x28084,x28085,x28086,x28087,x28081,x28088),f786(x28083,x28084,x28085,x28086,x28087,x28082,x28088))
% 207.26/207.91 [2809]~E(x28091,x28092)+E(f786(x28093,x28094,x28095,x28096,x28097,x28098,x28091),f786(x28093,x28094,x28095,x28096,x28097,x28098,x28092))
% 207.26/207.91 [2810]~E(x28101,x28102)+E(f735(x28101,x28103),f735(x28102,x28103))
% 207.26/207.91 [2811]~E(x28111,x28112)+E(f735(x28113,x28111),f735(x28113,x28112))
% 207.26/207.91 [2812]~E(x28121,x28122)+E(f550(x28121,x28123,x28124,x28125),f550(x28122,x28123,x28124,x28125))
% 207.26/207.91 [2813]~E(x28131,x28132)+E(f550(x28133,x28131,x28134,x28135),f550(x28133,x28132,x28134,x28135))
% 207.26/207.91 [2814]~E(x28141,x28142)+E(f550(x28143,x28144,x28141,x28145),f550(x28143,x28144,x28142,x28145))
% 207.26/207.91 [2815]~E(x28151,x28152)+E(f550(x28153,x28154,x28155,x28151),f550(x28153,x28154,x28155,x28152))
% 207.26/207.91 [2816]~E(x28161,x28162)+E(f854(x28161,x28163,x28164),f854(x28162,x28163,x28164))
% 207.26/207.91 [2817]~E(x28171,x28172)+E(f854(x28173,x28171,x28174),f854(x28173,x28172,x28174))
% 207.26/207.91 [2818]~E(x28181,x28182)+E(f854(x28183,x28184,x28181),f854(x28183,x28184,x28182))
% 207.26/207.91 [2819]~E(x28191,x28192)+E(f623(x28191,x28193,x28194,x28195,x28196),f623(x28192,x28193,x28194,x28195,x28196))
% 207.26/207.91 [2820]~E(x28201,x28202)+E(f623(x28203,x28201,x28204,x28205,x28206),f623(x28203,x28202,x28204,x28205,x28206))
% 207.26/207.91 [2821]~E(x28211,x28212)+E(f623(x28213,x28214,x28211,x28215,x28216),f623(x28213,x28214,x28212,x28215,x28216))
% 207.26/207.91 [2822]~E(x28221,x28222)+E(f623(x28223,x28224,x28225,x28221,x28226),f623(x28223,x28224,x28225,x28222,x28226))
% 207.26/207.91 [2823]~E(x28231,x28232)+E(f623(x28233,x28234,x28235,x28236,x28231),f623(x28233,x28234,x28235,x28236,x28232))
% 207.26/207.91 [2824]~E(x28241,x28242)+E(f404(x28241),f404(x28242))
% 207.26/207.91 [2825]~E(x28251,x28252)+E(f387(x28251),f387(x28252))
% 207.26/207.91 [2826]~E(x28261,x28262)+E(f751(x28261,x28263,x28264),f751(x28262,x28263,x28264))
% 207.26/207.91 [2827]~E(x28271,x28272)+E(f751(x28273,x28271,x28274),f751(x28273,x28272,x28274))
% 207.26/207.91 [2828]~E(x28281,x28282)+E(f751(x28283,x28284,x28281),f751(x28283,x28284,x28282))
% 207.26/207.91 [2829]~P1(x28291)+P1(x28292)+~E(x28291,x28292)
% 207.26/207.91 [2830]~P2(x28301)+P2(x28302)+~E(x28301,x28302)
% 207.26/207.91 [2831]~P93(x28311)+P93(x28312)+~E(x28311,x28312)
% 207.26/207.91 [2832]~P65(x28321)+P65(x28322)+~E(x28321,x28322)
% 207.26/207.91 [2833]P11(x28332,x28333)+~E(x28331,x28332)+~P11(x28331,x28333)
% 207.26/207.91 [2834]P11(x28343,x28342)+~E(x28341,x28342)+~P11(x28343,x28341)
% 207.26/207.91 [2835]~P66(x28351)+P66(x28352)+~E(x28351,x28352)
% 207.26/207.91 [2836]~P111(x28361)+P111(x28362)+~E(x28361,x28362)
% 207.26/207.91 [2837]~P64(x28371)+P64(x28372)+~E(x28371,x28372)
% 207.26/207.91 [2838]~P127(x28381)+P127(x28382)+~E(x28381,x28382)
% 207.26/207.91 [2839]~P67(x28391)+P67(x28392)+~E(x28391,x28392)
% 207.26/207.91 [2840]~P106(x28401)+P106(x28402)+~E(x28401,x28402)
% 207.26/207.91 [2841]~P107(x28411)+P107(x28412)+~E(x28411,x28412)
% 207.26/207.91 [2842]P23(x28422,x28423,x28424,x28425)+~E(x28421,x28422)+~P23(x28421,x28423,x28424,x28425)
% 207.26/207.91 [2843]P23(x28433,x28432,x28434,x28435)+~E(x28431,x28432)+~P23(x28433,x28431,x28434,x28435)
% 207.26/207.91 [2844]P23(x28443,x28444,x28442,x28445)+~E(x28441,x28442)+~P23(x28443,x28444,x28441,x28445)
% 207.26/207.91 [2845]P23(x28453,x28454,x28455,x28452)+~E(x28451,x28452)+~P23(x28453,x28454,x28455,x28451)
% 207.26/207.91 [2846]~P81(x28461)+P81(x28462)+~E(x28461,x28462)
% 207.26/207.91 [2847]P148(x28472,x28473,x28474)+~E(x28471,x28472)+~P148(x28471,x28473,x28474)
% 207.26/207.91 [2848]P148(x28483,x28482,x28484)+~E(x28481,x28482)+~P148(x28483,x28481,x28484)
% 207.26/207.91 [2849]P148(x28493,x28494,x28492)+~E(x28491,x28492)+~P148(x28493,x28494,x28491)
% 207.26/207.91 [2850]~P108(x28501)+P108(x28502)+~E(x28501,x28502)
% 207.26/207.91 [2851]~P88(x28511)+P88(x28512)+~E(x28511,x28512)
% 207.26/207.91 [2852]~P119(x28521)+P119(x28522)+~E(x28521,x28522)
% 207.26/207.91 [2853]~P109(x28531)+P109(x28532)+~E(x28531,x28532)
% 207.26/207.91 [2854]~P58(x28541)+P58(x28542)+~E(x28541,x28542)
% 207.26/207.91 [2855]~P126(x28551)+P126(x28552)+~E(x28551,x28552)
% 207.26/207.91 [2856]~P94(x28561)+P94(x28562)+~E(x28561,x28562)
% 207.26/207.91 [2857]~P110(x28571)+P110(x28572)+~E(x28571,x28572)
% 207.26/207.91 [2858]~P100(x28581)+P100(x28582)+~E(x28581,x28582)
% 207.26/207.91 [2859]P13(x28592,x28593)+~E(x28591,x28592)+~P13(x28591,x28593)
% 207.26/207.91 [2860]P13(x28603,x28602)+~E(x28601,x28602)+~P13(x28603,x28601)
% 207.26/207.91 [2861]P17(x28612,x28613,x28614,x28615)+~E(x28611,x28612)+~P17(x28611,x28613,x28614,x28615)
% 207.26/207.91 [2862]P17(x28623,x28622,x28624,x28625)+~E(x28621,x28622)+~P17(x28623,x28621,x28624,x28625)
% 207.26/207.91 [2863]P17(x28633,x28634,x28632,x28635)+~E(x28631,x28632)+~P17(x28633,x28634,x28631,x28635)
% 207.26/207.91 [2864]P17(x28643,x28644,x28645,x28642)+~E(x28641,x28642)+~P17(x28643,x28644,x28645,x28641)
% 207.26/207.91 [2865]~P68(x28651)+P68(x28652)+~E(x28651,x28652)
% 207.26/207.91 [2866]~P63(x28661)+P63(x28662)+~E(x28661,x28662)
% 207.26/207.91 [2867]~P62(x28671)+P62(x28672)+~E(x28671,x28672)
% 207.26/207.91 [2868]~P78(x28681)+P78(x28682)+~E(x28681,x28682)
% 207.26/207.91 [2869]~P69(x28691)+P69(x28692)+~E(x28691,x28692)
% 207.26/207.91 [2870]P24(x28702,x28703,x28704,x28705,x28706)+~E(x28701,x28702)+~P24(x28701,x28703,x28704,x28705,x28706)
% 207.26/207.91 [2871]P24(x28713,x28712,x28714,x28715,x28716)+~E(x28711,x28712)+~P24(x28713,x28711,x28714,x28715,x28716)
% 207.26/207.91 [2872]P24(x28723,x28724,x28722,x28725,x28726)+~E(x28721,x28722)+~P24(x28723,x28724,x28721,x28725,x28726)
% 207.26/207.91 [2873]P24(x28733,x28734,x28735,x28732,x28736)+~E(x28731,x28732)+~P24(x28733,x28734,x28735,x28731,x28736)
% 207.26/207.91 [2874]P24(x28743,x28744,x28745,x28746,x28742)+~E(x28741,x28742)+~P24(x28743,x28744,x28745,x28746,x28741)
% 207.26/207.91 [2875]P6(x28752,x28753,x28754)+~E(x28751,x28752)+~P6(x28751,x28753,x28754)
% 207.26/207.91 [2876]P6(x28763,x28762,x28764)+~E(x28761,x28762)+~P6(x28763,x28761,x28764)
% 207.26/207.91 [2877]P6(x28773,x28774,x28772)+~E(x28771,x28772)+~P6(x28773,x28774,x28771)
% 207.26/207.91 [2878]~P70(x28781)+P70(x28782)+~E(x28781,x28782)
% 207.26/207.91 [2879]P29(x28792,x28793,x28794)+~E(x28791,x28792)+~P29(x28791,x28793,x28794)
% 207.26/207.91 [2880]P29(x28803,x28802,x28804)+~E(x28801,x28802)+~P29(x28803,x28801,x28804)
% 207.26/207.91 [2881]P29(x28813,x28814,x28812)+~E(x28811,x28812)+~P29(x28813,x28814,x28811)
% 207.26/207.91 [2882]P147(x28822,x28823,x28824)+~E(x28821,x28822)+~P147(x28821,x28823,x28824)
% 207.26/207.91 [2883]P147(x28833,x28832,x28834)+~E(x28831,x28832)+~P147(x28833,x28831,x28834)
% 207.26/207.91 [2884]P147(x28843,x28844,x28842)+~E(x28841,x28842)+~P147(x28843,x28844,x28841)
% 207.26/207.91 [2885]~P71(x28851)+P71(x28852)+~E(x28851,x28852)
% 207.26/207.91 [2886]P22(x28862,x28863,x28864)+~E(x28861,x28862)+~P22(x28861,x28863,x28864)
% 207.26/207.91 [2887]P22(x28873,x28872,x28874)+~E(x28871,x28872)+~P22(x28873,x28871,x28874)
% 207.26/207.91 [2888]P22(x28883,x28884,x28882)+~E(x28881,x28882)+~P22(x28883,x28884,x28881)
% 207.26/207.91 [2889]P14(x28892,x28893,x28894)+~E(x28891,x28892)+~P14(x28891,x28893,x28894)
% 207.26/207.91 [2890]P14(x28903,x28902,x28904)+~E(x28901,x28902)+~P14(x28903,x28901,x28904)
% 207.26/207.91 [2891]P14(x28913,x28914,x28912)+~E(x28911,x28912)+~P14(x28913,x28914,x28911)
% 207.26/207.91 [2892]~P82(x28921)+P82(x28922)+~E(x28921,x28922)
% 207.26/207.91 [2893]~P61(x28931)+P61(x28932)+~E(x28931,x28932)
% 207.26/207.91 [2894]P37(x28942,x28943)+~E(x28941,x28942)+~P37(x28941,x28943)
% 207.26/207.91 [2895]P37(x28953,x28952)+~E(x28951,x28952)+~P37(x28953,x28951)
% 207.26/207.91 [2896]~P83(x28961)+P83(x28962)+~E(x28961,x28962)
% 207.26/207.91 [2897]P52(x28972,x28973,x28974)+~E(x28971,x28972)+~P52(x28971,x28973,x28974)
% 207.26/207.91 [2898]P52(x28983,x28982,x28984)+~E(x28981,x28982)+~P52(x28983,x28981,x28984)
% 207.26/207.91 [2899]P52(x28993,x28994,x28992)+~E(x28991,x28992)+~P52(x28993,x28994,x28991)
% 207.26/207.91 [2900]~P4(x29001)+P4(x29002)+~E(x29001,x29002)
% 207.26/207.91 [2901]~P74(x29011)+P74(x29012)+~E(x29011,x29012)
% 207.26/207.91 [2902]~P72(x29021)+P72(x29022)+~E(x29021,x29022)
% 207.26/207.91 [2903]~P133(x29031)+P133(x29032)+~E(x29031,x29032)
% 207.26/207.91 [2904]P26(x29042,x29043)+~E(x29041,x29042)+~P26(x29041,x29043)
% 207.26/207.91 [2905]P26(x29053,x29052)+~E(x29051,x29052)+~P26(x29053,x29051)
% 207.26/207.91 [2906]~P85(x29061)+P85(x29062)+~E(x29061,x29062)
% 207.26/207.91 [2907]~P3(x29071)+P3(x29072)+~E(x29071,x29072)
% 207.26/207.91 [2908]P31(x29082,x29083,x29084)+~E(x29081,x29082)+~P31(x29081,x29083,x29084)
% 207.26/207.91 [2909]P31(x29093,x29092,x29094)+~E(x29091,x29092)+~P31(x29093,x29091,x29094)
% 207.26/207.91 [2910]P31(x29103,x29104,x29102)+~E(x29101,x29102)+~P31(x29103,x29104,x29101)
% 207.26/207.91 [2911]~P139(x29111)+P139(x29112)+~E(x29111,x29112)
% 207.26/207.91 [2912]~P38(x29121)+P38(x29122)+~E(x29121,x29122)
% 207.26/207.91 [2913]P27(x29132,x29133,x29134)+~E(x29131,x29132)+~P27(x29131,x29133,x29134)
% 207.26/207.91 [2914]P27(x29143,x29142,x29144)+~E(x29141,x29142)+~P27(x29143,x29141,x29144)
% 207.26/207.91 [2915]P27(x29153,x29154,x29152)+~E(x29151,x29152)+~P27(x29153,x29154,x29151)
% 207.26/207.91 [2916]P15(x29162,x29163,x29164)+~E(x29161,x29162)+~P15(x29161,x29163,x29164)
% 207.26/207.91 [2917]P15(x29173,x29172,x29174)+~E(x29171,x29172)+~P15(x29173,x29171,x29174)
% 207.26/207.91 [2918]P15(x29183,x29184,x29182)+~E(x29181,x29182)+~P15(x29183,x29184,x29181)
% 207.26/207.91 [2919]~P112(x29191)+P112(x29192)+~E(x29191,x29192)
% 207.26/207.91 [2920]~P76(x29201)+P76(x29202)+~E(x29201,x29202)
% 207.26/207.91 [2921]~P142(x29211)+P142(x29212)+~E(x29211,x29212)
% 207.26/207.91 [2922]~P144(x29221)+P144(x29222)+~E(x29221,x29222)
% 207.26/207.91 [2923]P33(x29232,x29233,x29234)+~E(x29231,x29232)+~P33(x29231,x29233,x29234)
% 207.26/207.91 [2924]P33(x29243,x29242,x29244)+~E(x29241,x29242)+~P33(x29243,x29241,x29244)
% 207.26/207.91 [2925]P33(x29253,x29254,x29252)+~E(x29251,x29252)+~P33(x29253,x29254,x29251)
% 207.26/207.91 [2926]~P113(x29261)+P113(x29262)+~E(x29261,x29262)
% 207.26/207.91 [2927]P30(x29272,x29273,x29274,x29275)+~E(x29271,x29272)+~P30(x29271,x29273,x29274,x29275)
% 207.26/207.91 [2928]P30(x29283,x29282,x29284,x29285)+~E(x29281,x29282)+~P30(x29283,x29281,x29284,x29285)
% 207.26/207.91 [2929]P30(x29293,x29294,x29292,x29295)+~E(x29291,x29292)+~P30(x29293,x29294,x29291,x29295)
% 207.26/207.91 [2930]P30(x29303,x29304,x29305,x29302)+~E(x29301,x29302)+~P30(x29303,x29304,x29305,x29301)
% 207.26/207.91 [2931]~P130(x29311)+P130(x29312)+~E(x29311,x29312)
% 207.26/207.91 [2932]P41(x29322,x29323)+~E(x29321,x29322)+~P41(x29321,x29323)
% 207.26/207.91 [2933]P41(x29333,x29332)+~E(x29331,x29332)+~P41(x29333,x29331)
% 207.26/207.91 [2934]~P140(x29341)+P140(x29342)+~E(x29341,x29342)
% 207.26/207.91 [2935]P5(x29352,x29353)+~E(x29351,x29352)+~P5(x29351,x29353)
% 207.26/207.91 [2936]P5(x29363,x29362)+~E(x29361,x29362)+~P5(x29363,x29361)
% 207.26/207.91 [2937]~P114(x29371)+P114(x29372)+~E(x29371,x29372)
% 207.26/207.91 [2938]~P75(x29381)+P75(x29382)+~E(x29381,x29382)
% 207.26/207.91 [2939]P56(x29392,x29393,x29394,x29395)+~E(x29391,x29392)+~P56(x29391,x29393,x29394,x29395)
% 207.26/207.91 [2940]P56(x29403,x29402,x29404,x29405)+~E(x29401,x29402)+~P56(x29403,x29401,x29404,x29405)
% 207.26/207.91 [2941]P56(x29413,x29414,x29412,x29415)+~E(x29411,x29412)+~P56(x29413,x29414,x29411,x29415)
% 207.26/207.91 [2942]P56(x29423,x29424,x29425,x29422)+~E(x29421,x29422)+~P56(x29423,x29424,x29425,x29421)
% 207.26/207.91 [2943]P36(x29432,x29433)+~E(x29431,x29432)+~P36(x29431,x29433)
% 207.26/207.91 [2944]P36(x29443,x29442)+~E(x29441,x29442)+~P36(x29443,x29441)
% 207.26/207.91 [2945]P55(x29452,x29453)+~E(x29451,x29452)+~P55(x29451,x29453)
% 207.26/207.91 [2946]P55(x29463,x29462)+~E(x29461,x29462)+~P55(x29463,x29461)
% 207.26/207.91 [2947]~P86(x29471)+P86(x29472)+~E(x29471,x29472)
% 207.26/207.91 [2948]~P87(x29481)+P87(x29482)+~E(x29481,x29482)
% 207.26/207.91 [2949]P57(x29492,x29493)+~E(x29491,x29492)+~P57(x29491,x29493)
% 207.26/207.91 [2950]P57(x29503,x29502)+~E(x29501,x29502)+~P57(x29503,x29501)
% 207.26/207.91 [2951]~P120(x29511)+P120(x29512)+~E(x29511,x29512)
% 207.26/207.91 [2952]~P136(x29521)+P136(x29522)+~E(x29521,x29522)
% 207.26/207.91 [2953]~P96(x29531)+P96(x29532)+~E(x29531,x29532)
% 207.26/207.91 [2954]P49(x29542,x29543)+~E(x29541,x29542)+~P49(x29541,x29543)
% 207.26/207.91 [2955]P49(x29553,x29552)+~E(x29551,x29552)+~P49(x29553,x29551)
% 207.26/207.91 [2956]P35(x29562,x29563)+~E(x29561,x29562)+~P35(x29561,x29563)
% 207.26/207.91 [2957]P35(x29573,x29572)+~E(x29571,x29572)+~P35(x29573,x29571)
% 207.26/207.91 [2958]~P115(x29581)+P115(x29582)+~E(x29581,x29582)
% 207.26/207.91 [2959]~P97(x29591)+P97(x29592)+~E(x29591,x29592)
% 207.26/207.91 [2960]~P101(x29601)+P101(x29602)+~E(x29601,x29602)
% 207.26/207.91 [2961]~P129(x29611)+P129(x29612)+~E(x29611,x29612)
% 207.26/207.91 [2962]~P134(x29621)+P134(x29622)+~E(x29621,x29622)
% 207.26/207.91 [2963]~P98(x29631)+P98(x29632)+~E(x29631,x29632)
% 207.26/207.91 [2964]~P79(x29641)+P79(x29642)+~E(x29641,x29642)
% 207.26/207.91 [2965]~P80(x29651)+P80(x29652)+~E(x29651,x29652)
% 207.26/207.91 [2966]~P102(x29661)+P102(x29662)+~E(x29661,x29662)
% 207.26/207.91 [2967]~P122(x29671)+P122(x29672)+~E(x29671,x29672)
% 207.26/207.91 [2968]P47(x29682,x29683)+~E(x29681,x29682)+~P47(x29681,x29683)
% 207.26/207.91 [2969]P47(x29693,x29692)+~E(x29691,x29692)+~P47(x29693,x29691)
% 207.26/207.91 [2970]~P135(x29701)+P135(x29702)+~E(x29701,x29702)
% 207.26/207.91 [2971]P12(x29712,x29713,x29714)+~E(x29711,x29712)+~P12(x29711,x29713,x29714)
% 207.26/207.91 [2972]P12(x29723,x29722,x29724)+~E(x29721,x29722)+~P12(x29723,x29721,x29724)
% 207.26/207.91 [2973]P12(x29733,x29734,x29732)+~E(x29731,x29732)+~P12(x29733,x29734,x29731)
% 207.26/207.91 [2974]~P103(x29741)+P103(x29742)+~E(x29741,x29742)
% 207.26/207.91 [2975]~P84(x29751)+P84(x29752)+~E(x29751,x29752)
% 207.26/207.91 [2976]~P141(x29761)+P141(x29762)+~E(x29761,x29762)
% 207.26/207.91 [2977]~P60(x29771)+P60(x29772)+~E(x29771,x29772)
% 207.26/207.91 [2978]~P116(x29781)+P116(x29782)+~E(x29781,x29782)
% 207.26/207.91 [2979]~P99(x29791)+P99(x29792)+~E(x29791,x29792)
% 207.26/207.91 [2980]P10(x29802,x29803,x29804,x29805,x29806,x29807)+~E(x29801,x29802)+~P10(x29801,x29803,x29804,x29805,x29806,x29807)
% 207.26/207.91 [2981]P10(x29813,x29812,x29814,x29815,x29816,x29817)+~E(x29811,x29812)+~P10(x29813,x29811,x29814,x29815,x29816,x29817)
% 207.26/207.91 [2982]P10(x29823,x29824,x29822,x29825,x29826,x29827)+~E(x29821,x29822)+~P10(x29823,x29824,x29821,x29825,x29826,x29827)
% 207.26/207.91 [2983]P10(x29833,x29834,x29835,x29832,x29836,x29837)+~E(x29831,x29832)+~P10(x29833,x29834,x29835,x29831,x29836,x29837)
% 207.26/207.91 [2984]P10(x29843,x29844,x29845,x29846,x29842,x29847)+~E(x29841,x29842)+~P10(x29843,x29844,x29845,x29846,x29841,x29847)
% 207.26/207.91 [2985]P10(x29853,x29854,x29855,x29856,x29857,x29852)+~E(x29851,x29852)+~P10(x29853,x29854,x29855,x29856,x29857,x29851)
% 207.26/207.91 [2986]P32(x29862,x29863,x29864,x29865,x29866)+~E(x29861,x29862)+~P32(x29861,x29863,x29864,x29865,x29866)
% 207.26/207.91 [2987]P32(x29873,x29872,x29874,x29875,x29876)+~E(x29871,x29872)+~P32(x29873,x29871,x29874,x29875,x29876)
% 207.26/207.91 [2988]P32(x29883,x29884,x29882,x29885,x29886)+~E(x29881,x29882)+~P32(x29883,x29884,x29881,x29885,x29886)
% 207.26/207.91 [2989]P32(x29893,x29894,x29895,x29892,x29896)+~E(x29891,x29892)+~P32(x29893,x29894,x29895,x29891,x29896)
% 207.26/207.91 [2990]P32(x29903,x29904,x29905,x29906,x29902)+~E(x29901,x29902)+~P32(x29903,x29904,x29905,x29906,x29901)
% 207.26/207.91 [2991]P53(x29912,x29913,x29914)+~E(x29911,x29912)+~P53(x29911,x29913,x29914)
% 207.26/207.91 [2992]P53(x29923,x29922,x29924)+~E(x29921,x29922)+~P53(x29923,x29921,x29924)
% 207.26/207.91 [2993]P53(x29933,x29934,x29932)+~E(x29931,x29932)+~P53(x29933,x29934,x29931)
% 207.26/207.91 [2994]~P118(x29941)+P118(x29942)+~E(x29941,x29942)
% 207.26/207.91 [2995]~P123(x29951)+P123(x29952)+~E(x29951,x29952)
% 207.26/207.91 [2996]P50(x29962,x29963,x29964)+~E(x29961,x29962)+~P50(x29961,x29963,x29964)
% 207.26/207.91 [2997]P50(x29973,x29972,x29974)+~E(x29971,x29972)+~P50(x29973,x29971,x29974)
% 207.26/207.91 [2998]P50(x29983,x29984,x29982)+~E(x29981,x29982)+~P50(x29983,x29984,x29981)
% 207.26/207.91 [2999]P9(x29992,x29993,x29994,x29995)+~E(x29991,x29992)+~P9(x29991,x29993,x29994,x29995)
% 207.26/207.91 [3000]P9(x30003,x30002,x30004,x30005)+~E(x30001,x30002)+~P9(x30003,x30001,x30004,x30005)
% 207.26/207.91 [3001]P9(x30013,x30014,x30012,x30015)+~E(x30011,x30012)+~P9(x30013,x30014,x30011,x30015)
% 207.26/207.91 [3002]P9(x30023,x30024,x30025,x30022)+~E(x30021,x30022)+~P9(x30023,x30024,x30025,x30021)
% 207.26/207.91 [3003]P19(x30032,x30033,x30034,x30035,x30036)+~E(x30031,x30032)+~P19(x30031,x30033,x30034,x30035,x30036)
% 207.26/207.91 [3004]P19(x30043,x30042,x30044,x30045,x30046)+~E(x30041,x30042)+~P19(x30043,x30041,x30044,x30045,x30046)
% 207.26/207.91 [3005]P19(x30053,x30054,x30052,x30055,x30056)+~E(x30051,x30052)+~P19(x30053,x30054,x30051,x30055,x30056)
% 207.26/207.91 [3006]P19(x30063,x30064,x30065,x30062,x30066)+~E(x30061,x30062)+~P19(x30063,x30064,x30065,x30061,x30066)
% 207.26/207.91 [3007]P19(x30073,x30074,x30075,x30076,x30072)+~E(x30071,x30072)+~P19(x30073,x30074,x30075,x30076,x30071)
% 207.26/207.91 [3008]~P91(x30081)+P91(x30082)+~E(x30081,x30082)
% 207.26/207.91 [3009]~P146(x30091)+P146(x30092)+~E(x30091,x30092)
% 207.26/207.91 [3010]P16(x30102,x30103,x30104)+~E(x30101,x30102)+~P16(x30101,x30103,x30104)
% 207.26/207.91 [3011]P16(x30113,x30112,x30114)+~E(x30111,x30112)+~P16(x30113,x30111,x30114)
% 207.26/207.91 [3012]P16(x30123,x30124,x30122)+~E(x30121,x30122)+~P16(x30123,x30124,x30121)
% 207.26/207.91 [3013]~P89(x30131)+P89(x30132)+~E(x30131,x30132)
% 207.26/207.91 [3014]~P131(x30141)+P131(x30142)+~E(x30141,x30142)
% 207.26/207.91 [3015]~P145(x30151)+P145(x30152)+~E(x30151,x30152)
% 207.26/207.91 [3016]P21(x30162,x30163,x30164,x30165,x30166,x30167)+~E(x30161,x30162)+~P21(x30161,x30163,x30164,x30165,x30166,x30167)
% 207.26/207.91 [3017]P21(x30173,x30172,x30174,x30175,x30176,x30177)+~E(x30171,x30172)+~P21(x30173,x30171,x30174,x30175,x30176,x30177)
% 207.26/207.91 [3018]P21(x30183,x30184,x30182,x30185,x30186,x30187)+~E(x30181,x30182)+~P21(x30183,x30184,x30181,x30185,x30186,x30187)
% 207.26/207.91 [3019]P21(x30193,x30194,x30195,x30192,x30196,x30197)+~E(x30191,x30192)+~P21(x30193,x30194,x30195,x30191,x30196,x30197)
% 207.26/207.91 [3020]P21(x30203,x30204,x30205,x30206,x30202,x30207)+~E(x30201,x30202)+~P21(x30203,x30204,x30205,x30206,x30201,x30207)
% 207.26/207.91 [3021]P21(x30213,x30214,x30215,x30216,x30217,x30212)+~E(x30211,x30212)+~P21(x30213,x30214,x30215,x30216,x30217,x30211)
% 207.26/207.91 [3022]~P92(x30221)+P92(x30222)+~E(x30221,x30222)
% 207.26/207.91 [3023]P54(x30232,x30233,x30234,x30235,x30236)+~E(x30231,x30232)+~P54(x30231,x30233,x30234,x30235,x30236)
% 207.26/207.91 [3024]P54(x30243,x30242,x30244,x30245,x30246)+~E(x30241,x30242)+~P54(x30243,x30241,x30244,x30245,x30246)
% 207.26/207.91 [3025]P54(x30253,x30254,x30252,x30255,x30256)+~E(x30251,x30252)+~P54(x30253,x30254,x30251,x30255,x30256)
% 207.26/207.91 [3026]P54(x30263,x30264,x30265,x30262,x30266)+~E(x30261,x30262)+~P54(x30263,x30264,x30265,x30261,x30266)
% 207.26/207.91 [3027]P54(x30273,x30274,x30275,x30276,x30272)+~E(x30271,x30272)+~P54(x30273,x30274,x30275,x30276,x30271)
% 207.26/207.91 [3028]P20(x30282,x30283,x30284,x30285,x30286,x30287)+~E(x30281,x30282)+~P20(x30281,x30283,x30284,x30285,x30286,x30287)
% 207.26/207.91 [3029]P20(x30293,x30292,x30294,x30295,x30296,x30297)+~E(x30291,x30292)+~P20(x30293,x30291,x30294,x30295,x30296,x30297)
% 207.26/207.91 [3030]P20(x30303,x30304,x30302,x30305,x30306,x30307)+~E(x30301,x30302)+~P20(x30303,x30304,x30301,x30305,x30306,x30307)
% 207.26/207.91 [3031]P20(x30313,x30314,x30315,x30312,x30316,x30317)+~E(x30311,x30312)+~P20(x30313,x30314,x30315,x30311,x30316,x30317)
% 207.26/207.91 [3032]P20(x30323,x30324,x30325,x30326,x30322,x30327)+~E(x30321,x30322)+~P20(x30323,x30324,x30325,x30326,x30321,x30327)
% 207.26/207.91 [3033]P20(x30333,x30334,x30335,x30336,x30337,x30332)+~E(x30331,x30332)+~P20(x30333,x30334,x30335,x30336,x30337,x30331)
% 207.26/207.91 [3034]~P143(x30341)+P143(x30342)+~E(x30341,x30342)
% 207.26/207.91 [3035]P45(x30352,x30353,x30354)+~E(x30351,x30352)+~P45(x30351,x30353,x30354)
% 207.26/207.91 [3036]P45(x30363,x30362,x30364)+~E(x30361,x30362)+~P45(x30363,x30361,x30364)
% 207.26/207.91 [3037]P45(x30373,x30374,x30372)+~E(x30371,x30372)+~P45(x30373,x30374,x30371)
% 207.26/207.91 [3038]~P34(x30381)+P34(x30382)+~E(x30381,x30382)
% 207.26/207.91 [3039]P40(x30392,x30393,x30394,x30395,x30396,x30397)+~E(x30391,x30392)+~P40(x30391,x30393,x30394,x30395,x30396,x30397)
% 207.26/207.91 [3040]P40(x30403,x30402,x30404,x30405,x30406,x30407)+~E(x30401,x30402)+~P40(x30403,x30401,x30404,x30405,x30406,x30407)
% 207.26/207.91 [3041]P40(x30413,x30414,x30412,x30415,x30416,x30417)+~E(x30411,x30412)+~P40(x30413,x30414,x30411,x30415,x30416,x30417)
% 207.26/207.91 [3042]P40(x30423,x30424,x30425,x30422,x30426,x30427)+~E(x30421,x30422)+~P40(x30423,x30424,x30425,x30421,x30426,x30427)
% 207.26/207.91 [3043]P40(x30433,x30434,x30435,x30436,x30432,x30437)+~E(x30431,x30432)+~P40(x30433,x30434,x30435,x30436,x30431,x30437)
% 207.26/207.91 [3044]P40(x30443,x30444,x30445,x30446,x30447,x30442)+~E(x30441,x30442)+~P40(x30443,x30444,x30445,x30446,x30447,x30441)
% 207.26/207.91 [3045]~P138(x30451)+P138(x30452)+~E(x30451,x30452)
% 207.26/207.91 [3046]~P95(x30461)+P95(x30462)+~E(x30461,x30462)
% 207.26/207.91 [3047]P18(x30472,x30473,x30474,x30475)+~E(x30471,x30472)+~P18(x30471,x30473,x30474,x30475)
% 207.26/207.91 [3048]P18(x30483,x30482,x30484,x30485)+~E(x30481,x30482)+~P18(x30483,x30481,x30484,x30485)
% 207.26/207.91 [3049]P18(x30493,x30494,x30492,x30495)+~E(x30491,x30492)+~P18(x30493,x30494,x30491,x30495)
% 207.26/207.91 [3050]P18(x30503,x30504,x30505,x30502)+~E(x30501,x30502)+~P18(x30503,x30504,x30505,x30501)
% 207.26/207.91 [3051]~P128(x30511)+P128(x30512)+~E(x30511,x30512)
% 207.26/207.91 [3052]~P121(x30521)+P121(x30522)+~E(x30521,x30522)
% 207.26/207.91 [3053]P51(x30532,x30533)+~E(x30531,x30532)+~P51(x30531,x30533)
% 207.26/207.91 [3054]P51(x30543,x30542)+~E(x30541,x30542)+~P51(x30543,x30541)
% 207.26/207.91 [3055]P25(x30552,x30553)+~E(x30551,x30552)+~P25(x30551,x30553)
% 207.26/207.91 [3056]P25(x30563,x30562)+~E(x30561,x30562)+~P25(x30563,x30561)
% 207.26/207.91 [3057]~P104(x30571)+P104(x30572)+~E(x30571,x30572)
% 207.26/207.91 [3058]~P125(x30581)+P125(x30582)+~E(x30581,x30582)
% 207.26/207.91 [3059]P39(x30592,x30593,x30594,x30595)+~E(x30591,x30592)+~P39(x30591,x30593,x30594,x30595)
% 207.26/207.91 [3060]P39(x30603,x30602,x30604,x30605)+~E(x30601,x30602)+~P39(x30603,x30601,x30604,x30605)
% 207.26/207.91 [3061]P39(x30613,x30614,x30612,x30615)+~E(x30611,x30612)+~P39(x30613,x30614,x30611,x30615)
% 207.26/207.91 [3062]P39(x30623,x30624,x30625,x30622)+~E(x30621,x30622)+~P39(x30623,x30624,x30625,x30621)
% 207.26/207.91 [3063]~P137(x30631)+P137(x30632)+~E(x30631,x30632)
% 207.26/207.91 [3064]~P90(x30641)+P90(x30642)+~E(x30641,x30642)
% 207.26/207.91 [3065]P48(x30652,x30653)+~E(x30651,x30652)+~P48(x30651,x30653)
% 207.26/207.91 [3066]P48(x30663,x30662)+~E(x30661,x30662)+~P48(x30663,x30661)
% 207.26/207.91 [3067]~P105(x30671)+P105(x30672)+~E(x30671,x30672)
% 207.26/207.91 [3068]P8(x30682,x30683,x30684,x30685,x30686)+~E(x30681,x30682)+~P8(x30681,x30683,x30684,x30685,x30686)
% 207.26/207.91 [3069]P8(x30693,x30692,x30694,x30695,x30696)+~E(x30691,x30692)+~P8(x30693,x30691,x30694,x30695,x30696)
% 207.26/207.91 [3070]P8(x30703,x30704,x30702,x30705,x30706)+~E(x30701,x30702)+~P8(x30703,x30704,x30701,x30705,x30706)
% 207.26/207.91 [3071]P8(x30713,x30714,x30715,x30712,x30716)+~E(x30711,x30712)+~P8(x30713,x30714,x30715,x30711,x30716)
% 207.26/207.91 [3072]P8(x30723,x30724,x30725,x30726,x30722)+~E(x30721,x30722)+~P8(x30723,x30724,x30725,x30726,x30721)
% 207.26/207.91 [3073]~P59(x30731)+P59(x30732)+~E(x30731,x30732)
% 207.26/207.91 [3074]~P117(x30741)+P117(x30742)+~E(x30741,x30742)
% 207.26/207.91 [3075]~P43(x30751)+P43(x30752)+~E(x30751,x30752)
% 207.26/207.91 [3076]P28(x30762,x30763,x30764)+~E(x30761,x30762)+~P28(x30761,x30763,x30764)
% 207.26/207.91 [3077]P28(x30773,x30772,x30774)+~E(x30771,x30772)+~P28(x30773,x30771,x30774)
% 207.26/207.91 [3078]P28(x30783,x30784,x30782)+~E(x30781,x30782)+~P28(x30783,x30784,x30781)
% 207.26/207.91 [3079]~P124(x30791)+P124(x30792)+~E(x30791,x30792)
% 207.26/207.91 [3080]~P73(x30801)+P73(x30802)+~E(x30801,x30802)
% 207.26/207.91 [3081]P44(x30812,x30813)+~E(x30811,x30812)+~P44(x30811,x30813)
% 207.26/207.91 [3082]P44(x30823,x30822)+~E(x30821,x30822)+~P44(x30823,x30821)
% 207.26/207.91 [3083]~P77(x30831)+P77(x30832)+~E(x30831,x30832)
% 207.26/207.91 [3084]P46(x30842,x30843,x30844)+~E(x30841,x30842)+~P46(x30841,x30843,x30844)
% 207.26/207.91 [3085]P46(x30853,x30852,x30854)+~E(x30851,x30852)+~P46(x30853,x30851,x30854)
% 207.26/207.91 [3086]P46(x30863,x30864,x30862)+~E(x30861,x30862)+~P46(x30863,x30864,x30861)
% 207.26/207.91 [3087]P7(x30872,x30873,x30874)+~E(x30871,x30872)+~P7(x30871,x30873,x30874)
% 207.26/207.91 [3088]P7(x30883,x30882,x30884)+~E(x30881,x30882)+~P7(x30883,x30881,x30884)
% 207.26/207.91 [3089]P7(x30893,x30894,x30892)+~E(x30891,x30892)+~P7(x30893,x30894,x30891)
% 207.26/207.91 [3090]~P132(x30901)+P132(x30902)+~E(x30901,x30902)
% 207.26/207.91 [3091]P42(x30912,x30913)+~E(x30911,x30912)+~P42(x30911,x30913)
% 207.26/207.91 [3092]P42(x30923,x30922)+~E(x30921,x30922)+~P42(x30923,x30921)
% 207.26/207.91
% 207.26/207.91 %-------------------------------------------
% 207.27/207.97 cnf(10453,plain,
% 207.27/207.97 (~E(f327(a113,x104531),x104531)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10462,plain,
% 207.27/207.97 (~E(f327(f169(x104621),f327(a113,f327(f169(x104621),x104622))),x104622)),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,3288,3324,3336,4709,4743,4769,4824,4828,4856,4871])).
% 207.27/207.97 cnf(10463,plain,
% 207.27/207.97 (~E(f327(a113,x104631),x104631)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10476,plain,
% 207.27/207.97 (~E(f327(a113,x104761),x104761)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10481,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x104811),f114(x104811)),x104812))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10484,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x104841),f114(x104841)),x104842))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10487,plain,
% 207.27/207.97 (~E(f327(a113,x104871),x104871)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10490,plain,
% 207.27/207.97 (~E(f327(a113,x104901),x104901)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10493,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x104931),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(10496,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x104961),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(10513,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x105131)),x105131))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(10516,plain,
% 207.27/207.97 (~E(f327(f327(f152(x105161),x105162),x105163),x105163)),
% 207.27/207.97 inference(rename_variables,[],[4669])).
% 207.27/207.97 cnf(10522,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x105221),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(10525,plain,
% 207.27/207.97 (E(f327(f284(x105251,x105251),f263(x105251,x105252)),x105252)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(10528,plain,
% 207.27/207.97 (E(f327(f284(x105281,x105281),f263(x105281,x105282)),x105282)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(10533,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x105331),x105331))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(10538,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),f327(f327(f80(a915),x105381),x105382)),x105382))),
% 207.27/207.97 inference(rename_variables,[],[4726])).
% 207.27/207.97 cnf(10541,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),f327(f327(f80(a915),x105411),x105412)),x105412))),
% 207.27/207.97 inference(rename_variables,[],[4726])).
% 207.27/207.97 cnf(10548,plain,
% 207.27/207.97 (~E(x105481,f327(a113,x105481))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,3288,3453,10525,3328,3392,3324,3352,3336,4669,3560,3476,4706,10493,10496,4703,4664,4711,10481,4702,4712,4314,4709,3469,4695,4728,4726,10538,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342])).
% 207.27/207.97 cnf(10552,plain,
% 207.27/207.97 (~P1(f327(f146(x105521,x105522),f327(f327(f252(f916(x105521),f916(x105521)),x105523),f114(x105521))))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,3288,3453,10525,3328,3392,3324,3352,3336,4669,4731,3560,3476,4706,10493,10496,4078,4703,4664,4711,10481,4702,4712,4314,4709,3469,4695,4728,4726,10538,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351])).
% 207.27/207.97 cnf(10562,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x105621),x105621))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(10565,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f46(a915,x105651,x105652)),x105651))),
% 207.27/207.97 inference(rename_variables,[],[3949])).
% 207.27/207.97 cnf(10586,plain,
% 207.27/207.97 (E(f327(f36(a915),f327(f282(a915),x105861)),x105861)),
% 207.27/207.97 inference(rename_variables,[],[3388])).
% 207.27/207.97 cnf(10594,plain,
% 207.27/207.97 (~E(f327(a113,x105941),x105941)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10597,plain,
% 207.27/207.97 (~E(f327(a113,x105971),x105971)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10600,plain,
% 207.27/207.97 (~E(f327(a113,x106001),x106001)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10605,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x106051),f327(a113,x106051)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(10614,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x106141),x106141))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(10621,plain,
% 207.27/207.97 (E(f327(f284(x106211,x106211),f263(x106211,x106212)),x106212)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(10624,plain,
% 207.27/207.97 (E(f327(f284(x106241,x106241),f263(x106241,x106242)),x106242)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(10641,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x106411),x106411))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(10646,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x106461),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(10649,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x106491,a910)),x106492),f242(f922(x106491,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3874])).
% 207.27/207.97 cnf(10654,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x106541),f114(x106541)),x106542))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10660,plain,
% 207.27/207.97 (E(f327(f327(f80(a915),x106601),f813(x106601,x106601)),x106601)),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,3288,3453,10525,10528,10621,3328,3392,3324,3352,3336,3423,4669,3388,4273,4731,3408,3560,10605,3476,4706,10493,10496,10522,3931,4078,3521,3495,4703,4664,4711,10481,10484,4223,3874,3492,10614,3493,4702,10533,10562,3585,4012,3949,10565,4712,10513,4314,4709,4693,3469,4695,4728,3972,4726,10538,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632])).
% 207.27/207.97 cnf(10683,plain,
% 207.27/207.97 (~E(f327(f327(f152(x106831),x106832),x106833),x106833)),
% 207.27/207.97 inference(rename_variables,[],[4669])).
% 207.27/207.97 cnf(10686,plain,
% 207.27/207.97 (~E(f327(a113,x106861),f2(a915))),
% 207.27/207.97 inference(rename_variables,[],[4660])).
% 207.27/207.97 cnf(10697,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x106971),x106971))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(10702,plain,
% 207.27/207.97 (~E(f327(a113,x107021),x107021)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10705,plain,
% 207.27/207.97 (~P1(f327(f327(f190(f922(x107051,f922(x107052,a910))),x107053),x107054))),
% 207.27/207.97 inference(rename_variables,[],[4729])).
% 207.27/207.97 cnf(10712,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x107121),x107121))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(10716,plain,
% 207.27/207.97 (~E(f327(f169(x107161),f327(f327(f152(x107161),x107162),x107163)),f114(x107161))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,4660,3288,3453,10525,10528,10621,3328,3392,3324,3352,3336,3423,4669,10516,3388,4273,4731,3408,3856,3560,10605,3476,4706,10493,10496,10522,10646,3931,4078,3519,3521,3495,4703,4664,4711,10481,10484,4223,3874,3492,10614,3493,10641,4702,10533,10562,3585,4012,3949,10565,4712,10513,4314,4709,4693,3469,3473,4695,4728,4729,3972,4726,10538,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833])).
% 207.27/207.97 cnf(10725,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x107251),f327(a113,x107251)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(10746,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x107461,a910)),x107462),f242(f922(x107461,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3874])).
% 207.27/207.97 cnf(10749,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x107491),f114(x107491)),x107492))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10768,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x107681),f114(x107681)),x107682))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10775,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x107751),f114(x107751)),x107752))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10786,plain,
% 207.27/207.97 (~E(f327(a113,x107861),f2(a915))),
% 207.27/207.97 inference(rename_variables,[],[4660])).
% 207.27/207.97 cnf(10791,plain,
% 207.27/207.97 (P1(f327(f327(f329(x107911),x107912),f242(f922(x107911,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(10795,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),f2(a915)),f327(a106,f78(a1))))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,4660,10686,3288,3453,10525,10528,10621,3328,3392,3324,3352,3336,3963,3423,4669,10516,3388,4273,4731,3408,3856,3560,10605,10725,3476,4706,10493,10496,10522,10646,4719,3931,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,4223,3874,10649,3492,10614,10712,3493,10641,4702,10533,10562,3645,3585,4012,3949,10565,4712,10513,4314,4709,4693,3469,3473,4696,4695,4728,4729,3972,4726,10538,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073])).
% 207.27/207.97 cnf(10798,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x107981),f114(x107981)),x107982))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10803,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x108031),f327(a113,x108031)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(10806,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x108061),f114(x108061)),x108062))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10809,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x108091),f114(x108091)),x108092))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10812,plain,
% 207.27/207.97 (~P1(f327(f62(x108121,x108122,f190(f922(x108121,a910))),x108123))),
% 207.27/207.97 inference(rename_variables,[],[4725])).
% 207.27/207.97 cnf(10815,plain,
% 207.27/207.97 (~P1(f327(f62(x108151,x108152,f190(f922(x108151,a910))),x108153))),
% 207.27/207.97 inference(rename_variables,[],[4725])).
% 207.27/207.97 cnf(10818,plain,
% 207.27/207.97 (~P1(f327(f327(f190(f922(x108181,f922(x108182,a910))),x108183),x108184))),
% 207.27/207.97 inference(rename_variables,[],[4729])).
% 207.27/207.97 cnf(10821,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x108211),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(10826,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x108261),f114(x108261)),x108262))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(10837,plain,
% 207.27/207.97 (~E(f327(a113,x108371),x108371)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(10855,plain,
% 207.27/207.97 (P1(f327(f327(f235(a100),f327(a3,x108551)),f327(a3,f327(a113,x108551))))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,4660,10686,3288,3453,10525,10528,10621,3328,3392,3324,3352,3336,3963,3423,4669,10516,3388,4273,4731,3408,3856,3560,10605,10725,10803,3944,3476,4706,10493,10496,10522,10646,4719,3931,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,4223,3874,10649,3492,10614,10712,3493,10641,4702,10533,10562,3645,3585,4012,3949,10565,4712,10513,4314,4709,4693,3469,3473,4696,4695,4725,10812,4728,4729,10705,3972,4726,10538,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274])).
% 207.27/207.97 cnf(10862,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x108621),x108621))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(10865,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x108651),f327(f327(f81(a915),x108651),x108651)))),
% 207.27/207.97 inference(rename_variables,[],[3756])).
% 207.27/207.97 cnf(10868,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x108681),f327(f327(f81(a915),x108681),x108681)))),
% 207.27/207.97 inference(rename_variables,[],[3756])).
% 207.27/207.97 cnf(10871,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x108711),f327(a113,f327(f327(f80(a915),x108712),x108711))))),
% 207.27/207.97 inference(rename_variables,[],[3942])).
% 207.27/207.97 cnf(10876,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x108761),f327(a113,x108761)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(10879,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x108791),f327(a113,x108791)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(10882,plain,
% 207.27/207.97 (P1(f327(f327(f329(x108821),x108822),f242(f922(x108821,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(10901,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x109011)),x109011))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(10904,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x109041)),x109041))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(10907,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),f327(f327(f80(a915),x109071),x109072)),x109072))),
% 207.27/207.97 inference(rename_variables,[],[4726])).
% 207.27/207.97 cnf(10910,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),f327(f327(f80(a915),x109101),x109102)),x109102))),
% 207.27/207.97 inference(rename_variables,[],[4726])).
% 207.27/207.97 cnf(10913,plain,
% 207.27/207.97 (P1(f327(f242(f922(x109131,a910)),x109132))),
% 207.27/207.97 inference(rename_variables,[],[3553])).
% 207.27/207.97 cnf(10916,plain,
% 207.27/207.97 (E(f327(f36(a915),f327(f282(a915),x109161)),x109161)),
% 207.27/207.97 inference(rename_variables,[],[3388])).
% 207.27/207.97 cnf(10919,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x109191),f327(a113,x109191)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(10926,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x109261),x109261))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(10930,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f327(f105(a915),a83)),f327(f105(a915),x109301)))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,4660,10686,3288,3453,10525,10528,10621,3328,3392,3324,3352,3336,3963,3423,4669,10516,3388,10586,4273,4731,3408,3856,3792,3560,10605,10725,10803,10876,10879,3944,3476,4706,10493,10496,10522,10646,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,4223,3874,10649,3492,10614,10712,10862,3493,10641,10697,4702,10533,10562,3645,10791,3553,3585,4012,3949,10565,4712,10513,10901,4314,4709,4693,3469,3473,4696,4694,4695,4725,10812,3756,10865,4728,4729,10705,3972,4726,10538,10541,10907,3942,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463])).
% 207.27/207.97 cnf(10931,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x109311),x109311))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(10940,plain,
% 207.27/207.97 (E(f327(f284(x109401,x109401),f263(x109401,x109402)),x109402)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(10943,plain,
% 207.27/207.97 (P1(f327(f242(f922(x109431,a910)),x109432))),
% 207.27/207.97 inference(rename_variables,[],[3553])).
% 207.27/207.97 cnf(10945,plain,
% 207.27/207.97 (P29(x109451,f327(f234(a915),f2(a915)),x109452)),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,4660,10686,3288,3453,10525,10528,10621,10624,3328,3392,3324,3352,3336,3963,3423,4669,10516,3388,10586,4273,4731,3408,3856,3792,3560,10605,10725,10803,10876,10879,3944,3476,4706,10493,10496,10522,10646,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,4223,3874,10649,3492,10614,10712,10862,3493,10641,10697,4702,10533,10562,3645,10791,3553,10913,3585,4012,3949,10565,4712,10513,10901,3513,4314,4709,4693,3469,3473,4696,4694,4695,4725,10812,3756,10865,4728,4729,10705,3972,4726,10538,10541,10907,3942,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504])).
% 207.27/207.97 cnf(10946,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f2(a915)),x109461))),
% 207.27/207.97 inference(rename_variables,[],[3513])).
% 207.27/207.97 cnf(10949,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x109491,a910)),f190(f922(x109491,a910))),x109492))),
% 207.27/207.97 inference(rename_variables,[],[3941])).
% 207.27/207.97 cnf(10952,plain,
% 207.27/207.97 (P1(f327(f242(f922(x109521,a910)),x109522))),
% 207.27/207.97 inference(rename_variables,[],[3553])).
% 207.27/207.97 cnf(10955,plain,
% 207.27/207.97 (P1(f327(f242(f922(x109551,a910)),x109552))),
% 207.27/207.97 inference(rename_variables,[],[3553])).
% 207.27/207.97 cnf(10958,plain,
% 207.27/207.97 (P1(f327(f242(f922(x109581,a910)),x109582))),
% 207.27/207.97 inference(rename_variables,[],[3553])).
% 207.27/207.97 cnf(10961,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x109611),f327(f327(f81(a915),x109611),x109611)))),
% 207.27/207.97 inference(rename_variables,[],[3756])).
% 207.27/207.97 cnf(10965,plain,
% 207.27/207.97 (E(f327(f169(x109651),f174(x109652,f327(f327(f135(x109651),f327(f169(x109651),x109653)),f327(f327(f152(x109651),x109654),f114(x109651))),f114(x109652))),f327(f327(f152(x109651),x109654),x109653))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3423,4669,10516,3388,10586,4273,4731,3408,3856,3792,3560,10605,10725,10803,10876,10879,3944,3476,4706,10493,10496,10522,10646,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,4223,3874,10649,3492,10614,10712,10862,3493,10641,10697,4702,10533,10562,3645,10791,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,3513,4314,4709,4693,3469,3473,4696,4694,4695,4725,10812,3941,3756,10865,10868,4728,4729,10705,3972,4726,10538,10541,10907,3942,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554])).
% 207.27/207.97 cnf(11001,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x110011),x110011))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(11012,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x110121),f114(x110121)),x110122))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(11019,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x110191),f327(a113,x110191)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(11021,plain,
% 207.27/207.97 (P1(f327(f327(f235(a1),f327(f327(f23(a1),x110211),f78(a1))),x110211))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3423,4669,10516,3388,10586,4273,4130,4731,3408,3856,3792,3560,10605,10725,10803,10876,10879,10919,3944,3476,4706,10493,10496,10522,10646,10821,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4223,3874,10649,3492,10614,10712,10862,10926,11001,3493,10641,10697,10931,4702,10533,10562,3645,10791,4715,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,4314,4709,4693,4697,3469,3473,4696,4694,4695,4725,10812,3941,3756,10865,10868,4728,4729,10705,3972,4726,10538,10541,10907,3942,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822])).
% 207.27/207.97 cnf(11022,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x110221),x110221))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(11027,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x110271),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(11042,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x110421),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(11045,plain,
% 207.27/207.97 (~P1(f327(f327(f235(f922(x110451,a910)),x110452),f190(f922(x110451,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4723])).
% 207.27/207.97 cnf(11048,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x110481),x110481))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(11051,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x110511),x110511))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(11065,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x110651),f327(f327(f23(a915),x110651),x110652)))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3423,4669,10516,3388,10586,4273,4130,4731,3408,3856,3792,3560,10605,10725,10803,10876,10879,10919,3944,3476,4706,10493,10496,10522,10646,10821,11027,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4235,4223,3874,10649,4723,3492,10614,10712,10862,10926,11001,11048,11051,3493,10641,10697,10931,3494,4702,10533,10562,3645,10791,4715,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,4314,4709,4693,4697,3469,3473,4696,4694,4695,4725,10812,3941,3756,10865,10868,4728,4729,10705,3972,4726,10538,10541,10907,3942,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985])).
% 207.27/207.97 cnf(11066,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x110661),x110661))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(11075,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x110751),x110752),f190(f922(x110751,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11082,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x110821),x110821))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(11085,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x110851,a910)),f327(f310(x110852,x110851,x110853),f327(f311(x110852,x110851,x110853),x110854))),x110854))),
% 207.27/207.97 inference(rename_variables,[],[4369])).
% 207.27/207.97 cnf(11094,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x110941,a910)),f327(f173(x110941),f327(f137(x110941,x110942),x110943))),f327(f173(x110941),x110943)))),
% 207.27/207.97 inference(rename_variables,[],[4139])).
% 207.27/207.97 cnf(11097,plain,
% 207.27/207.97 (E(f327(f310(x110971,x110971,f5(x110971)),x110972),x110972)),
% 207.27/207.97 inference(rename_variables,[],[3549])).
% 207.27/207.97 cnf(11102,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f2(a915)),x111021))),
% 207.27/207.97 inference(rename_variables,[],[3513])).
% 207.27/207.97 cnf(11105,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x111051),x111051))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(11108,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x111081),x111081))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(11114,plain,
% 207.27/207.97 (E(f327(f327(f135(a915),f140(a915,f327(f302(a915,x111141),x111141))),f327(f327(f152(a915),x111141),f114(a915))),f140(a915,f327(f302(a915,x111141),f327(a113,x111141))))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3549,3423,4669,10516,3388,10586,4273,4130,4731,3408,3689,3856,3792,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4235,4139,4223,3874,10649,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,3493,10641,10697,10931,3494,4702,10533,10562,11066,3645,10791,4715,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,4314,4709,4693,4697,3469,3473,4696,4694,4695,4725,10812,3941,3756,10865,10868,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387])).
% 207.27/207.97 cnf(11117,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x111171),x111171))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(11128,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x111281),f327(f327(f81(a915),x111281),x111281)))),
% 207.27/207.97 inference(rename_variables,[],[3756])).
% 207.27/207.97 cnf(11134,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x111341),f327(a113,f327(f327(f80(a915),x111342),x111341))))),
% 207.27/207.97 inference(rename_variables,[],[3942])).
% 207.27/207.97 cnf(11140,plain,
% 207.27/207.97 (~E(x111401,f327(f327(f152(x111402),x111403),x111401))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3549,3423,4669,10516,3388,10586,4273,4130,4731,3408,3689,3856,3792,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4235,4139,4223,3874,10649,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,3493,10641,10697,10931,3494,4702,10533,10562,11066,11108,3645,10791,4715,11075,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,4314,4709,4693,4697,3469,3473,4696,4694,4695,4725,10812,3941,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568])).
% 207.27/207.97 cnf(11141,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x111411),x111411))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(11143,plain,
% 207.27/207.97 (P1(f327(f327(f235(a1),x111431),f327(f327(f80(a1),x111431),f78(a1))))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3549,3423,4669,10516,3388,10586,4273,4130,4731,3408,3689,3856,3792,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4235,4139,4223,3874,10649,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,4715,11075,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,4314,4709,4693,4697,3469,3473,4696,4694,4695,4725,10812,3941,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614])).
% 207.27/207.97 cnf(11144,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x111441),x111441))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(11146,plain,
% 207.27/207.97 (~E(f327(f72(x111461,x111462,x111463,a113),x111464),x111464)),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3549,3423,4669,10516,3388,10586,4273,4130,4731,3408,3689,3856,3792,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4235,4139,4223,3874,10649,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,4715,11075,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,4314,4709,4693,4697,3469,3473,4696,4694,4695,4725,10812,3941,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624])).
% 207.27/207.97 cnf(11147,plain,
% 207.27/207.97 (~E(f327(a113,x111471),x111471)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11152,plain,
% 207.27/207.97 (P1(f327(f327(f329(x111521),x111522),f242(f922(x111521,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(11157,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x111571),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(11172,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f2(a915)),x111721))),
% 207.27/207.97 inference(rename_variables,[],[3513])).
% 207.27/207.97 cnf(11179,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x111791),x111791))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(11188,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x111881),x111882),f190(f922(x111881,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11190,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x111901,a910)),f39(f922(x111901,a910),f327(f308(x111901),x111902))),x111902))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3549,3423,4669,10516,3388,10586,4273,4130,4731,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4235,4139,11094,3857,4223,3874,10649,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,4715,11075,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,3941,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968])).
% 207.27/207.97 cnf(11196,plain,
% 207.27/207.97 (P1(f327(f327(f329(x111961),x111962),f242(f922(x111961,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(11199,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x111991),f916(x111991))),f327(f327(f252(f916(x111991),f916(x111991)),x111992),f114(x111991))),f146(x111991,x111993)))),
% 207.27/207.97 inference(rename_variables,[],[4731])).
% 207.27/207.97 cnf(11208,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(x112081,x112081)),x112082),f263(x112081,f190(f922(x112081,a910)))))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3549,3423,4669,10516,3388,10586,4273,4130,4731,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4235,4139,11094,3857,4223,3874,10649,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,4715,11075,11188,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,3941,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113])).
% 207.27/207.97 cnf(11209,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x112091),x112092),f190(f922(x112091,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11211,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x112111),x112112),f327(f311(x112111,x112113,x112114),f190(f922(x112113,a910)))))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,4660,10686,3288,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3549,3423,4669,10516,3388,10586,4273,4130,4731,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4235,4139,11094,3857,4223,3874,10649,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,4715,11075,11188,11209,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,3941,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144])).
% 207.27/207.97 cnf(11212,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x112121),x112122),f190(f922(x112121,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11215,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x112151,a910)),x112152),f327(f327(f309(x112151),x112153),x112152)))),
% 207.27/207.97 inference(rename_variables,[],[3939])).
% 207.27/207.97 cnf(11218,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x112181),x112181))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(11221,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x112211,a910)),x112212),f327(f327(f309(x112211),x112213),x112212)))),
% 207.27/207.97 inference(rename_variables,[],[3939])).
% 207.27/207.97 cnf(11224,plain,
% 207.27/207.97 (E(f327(f310(x112241,x112241,f5(x112241)),x112242),x112242)),
% 207.27/207.97 inference(rename_variables,[],[3549])).
% 207.27/207.97 cnf(11226,plain,
% 207.27/207.97 (P32(x112261,x112262,x112263,f115(x112261,f114(x112261)),f114(x112262))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,4660,10686,3288,3338,3453,10525,10528,10621,10624,3430,3328,3392,3324,3352,3336,3963,3549,11097,3423,4669,10516,3388,10586,4273,4130,4731,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,4235,4139,11094,3857,4223,3874,10649,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,4715,11075,11188,11209,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,3939,11215,3941,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250])).
% 207.27/207.97 cnf(11239,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x112391,a910)),x112392),f327(f327(f309(x112391),x112393),x112392)))),
% 207.27/207.97 inference(rename_variables,[],[3939])).
% 207.27/207.97 cnf(11250,plain,
% 207.27/207.97 (~E(f327(a113,x112501),f2(a915))),
% 207.27/207.97 inference(rename_variables,[],[4660])).
% 207.27/207.97 cnf(11253,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x112531),f114(x112531)),x112532))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(11266,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x112661),f327(a113,x112661)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(11276,plain,
% 207.27/207.97 (~E(f327(f310(x112761,f922(x112761,a910),x112762),x112763),f327(f308(x112761),x112763))),
% 207.27/207.97 inference(rename_variables,[],[4713])).
% 207.27/207.97 cnf(11279,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x112791),x112792),f190(f922(x112791,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11282,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x112821),x112822),f190(f922(x112821,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11285,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(x112851,x112851)),f327(f327(f252(x112851,x112851),x112852),x112853)),f154(x112851,f114(f922(x112851,a915)))))),
% 207.27/207.97 inference(rename_variables,[],[4730])).
% 207.27/207.97 cnf(11288,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(x112881,x112881)),f327(f327(f252(x112881,x112881),x112882),x112883)),f154(x112881,f114(f922(x112881,a915)))))),
% 207.27/207.97 inference(rename_variables,[],[4730])).
% 207.27/207.97 cnf(11293,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x112931),x112932),f190(f922(x112931,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11296,plain,
% 207.27/207.97 (P1(f327(f327(f329(f921(x112961,x112961)),f327(f327(f252(x112961,x112961),x112962),x112962)),f307(x112961,x112963)))),
% 207.27/207.97 inference(rename_variables,[],[4130])).
% 207.27/207.97 cnf(11299,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x112991,a910)),f327(f173(x112991),f177(x112991,x112992,x112993))),f327(f173(x112991),x112992)))),
% 207.27/207.97 inference(rename_variables,[],[4189])).
% 207.27/207.97 cnf(11302,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x113021,a910)),x113022),f242(f922(x113021,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3874])).
% 207.27/207.97 cnf(11318,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x113181,a910)),f190(f922(x113181,a910))),x113182))),
% 207.27/207.97 inference(rename_variables,[],[3941])).
% 207.27/207.97 cnf(11326,plain,
% 207.27/207.97 (~P1(f327(f327(f67(f916(x113261),f916(x113261),f146(x113261,x113262)),x113263),f114(x113261)))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,4660,10686,10786,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,3388,10586,4273,4130,11296,4731,11199,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,4715,11075,11188,11209,11212,11279,11282,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753])).
% 207.27/207.97 cnf(11329,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x113291),f916(x113291))),f327(f327(f252(f916(x113291),f916(x113291)),x113292),f114(x113291))),f148(x113291,x113293)))),
% 207.27/207.97 inference(rename_variables,[],[4732])).
% 207.27/207.97 cnf(11340,plain,
% 207.27/207.97 (~E(f327(a113,x113401),x113401)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11343,plain,
% 207.27/207.97 (~E(f327(a113,x113431),x113431)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11350,plain,
% 207.27/207.97 (~E(f327(a113,x113501),f2(a915))),
% 207.27/207.97 inference(rename_variables,[],[4660])).
% 207.27/207.97 cnf(11352,plain,
% 207.27/207.97 (E(f327(x113521,f327(f92(x113522,x113523,f242(f922(x113522,a910)),x113521),f327(x113521,x113524))),f327(x113521,x113524))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,3388,10586,4273,4130,11296,4731,11199,4732,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,4715,11075,11188,11209,11212,11279,11282,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812])).
% 207.27/207.97 cnf(11355,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x113551,a910)),x113552),x113552))),
% 207.27/207.97 inference(rename_variables,[],[3788])).
% 207.27/207.97 cnf(11362,plain,
% 207.27/207.97 (~E(f327(a113,x113621),x113621)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11365,plain,
% 207.27/207.97 (~E(f327(a113,x113651),x113651)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11367,plain,
% 207.27/207.97 (~P24(x113671,f922(x113671,a910),x113672,x113673,f327(f308(x113671),x113673))),
% 207.27/207.97 inference(scs_inference,[],[4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3388,10586,4273,4130,11296,4731,11199,4732,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,4715,11075,11188,11209,11212,11279,11282,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3788,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851])).
% 207.27/207.97 cnf(11370,plain,
% 207.27/207.97 (P23(x113701,x113701,f5(x113701),x113702)),
% 207.27/207.97 inference(rename_variables,[],[3729])).
% 207.27/207.97 cnf(11375,plain,
% 207.27/207.97 (~E(f327(f310(x113751,f922(x113751,a910),x113752),x113753),f327(f308(x113751),x113753))),
% 207.27/207.97 inference(rename_variables,[],[4713])).
% 207.27/207.97 cnf(11380,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x113801,a910)),x113802),f242(f922(x113801,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3874])).
% 207.27/207.97 cnf(11384,plain,
% 207.27/207.97 (P1(f327(f327(f67(f916(x113841),f916(x113841),f159(x113841,x113842)),f114(x113841)),f114(x113841)))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3388,10586,4273,4130,11296,4731,11199,4732,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,4715,11075,11188,11209,11212,11279,11282,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3788,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934])).
% 207.27/207.97 cnf(11396,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x113961),x113962),f190(f922(x113961,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11398,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,f327(f143(a915,a915,f80(a915),x113981),x113982))),x113981))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,4731,11199,4732,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,4715,11075,11188,11209,11212,11279,11282,11293,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3788,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985])).
% 207.27/207.97 cnf(11399,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x113991)),x113991))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(11404,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x114041),x114042),f190(f922(x114041,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11414,plain,
% 207.27/207.97 (~P1(f327(f327(f329(a915),f327(a113,f327(f143(a915,a915,f80(a915),f2(a915)),x114141))),f327(f173(a915),x114141)))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,4731,11199,4732,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,4715,11075,11188,11209,11212,11279,11282,11293,11396,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3788,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035])).
% 207.27/207.97 cnf(11415,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x114151)),x114151))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(11418,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x114181),x114182),f190(f922(x114181,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11431,plain,
% 207.27/207.97 (P1(f327(f327(f329(f921(x114311,x114311)),f327(f327(f252(x114311,x114311),x114312),x114312)),f307(x114311,x114313)))),
% 207.27/207.97 inference(rename_variables,[],[4130])).
% 207.27/207.97 cnf(11434,plain,
% 207.27/207.97 (P1(f327(f327(f329(x114341),x114342),f242(f922(x114341,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(11437,plain,
% 207.27/207.97 (P1(f327(f327(f329(x114371),x114372),f242(f922(x114371,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(11441,plain,
% 207.27/207.97 (P1(f327(f327(f329(f921(f916(x114411),f916(x114411))),f327(f327(f252(f916(x114411),f916(x114411)),f114(x114411)),f114(x114411))),f327(f286(f916(x114411),f916(x114411)),f159(x114411,x114412))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,4731,11199,4732,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3788,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205])).
% 207.27/207.97 cnf(11444,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x114441),f916(x114441))),f327(f327(f252(f916(x114441),f916(x114441)),x114442),f114(x114441))),f146(x114441,x114443)))),
% 207.27/207.97 inference(rename_variables,[],[4731])).
% 207.27/207.97 cnf(11447,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x114471),f916(x114471))),f327(f327(f252(f916(x114471),f916(x114471)),x114472),f114(x114471))),f148(x114471,x114473)))),
% 207.27/207.97 inference(rename_variables,[],[4732])).
% 207.27/207.97 cnf(11450,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x114501),f916(x114501))),f327(f327(f252(f916(x114501),f916(x114501)),x114502),f114(x114501))),f158(x114501,x114503)))),
% 207.27/207.97 inference(rename_variables,[],[4733])).
% 207.27/207.97 cnf(11452,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x114521),f916(x114521))),f327(f327(f252(f916(x114521),f916(x114521)),f114(x114521)),x114522)),f327(f286(f916(x114521),f916(x114521)),f146(x114521,x114523))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,4731,11199,11444,4732,11329,4733,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,4723,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3788,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253])).
% 207.27/207.97 cnf(11455,plain,
% 207.27/207.97 (~P1(f327(f327(f235(f922(x114551,a910)),x114552),f190(f922(x114551,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4723])).
% 207.27/207.97 cnf(11458,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x114581),x114582),f190(f922(x114581,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11462,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x114621,a910)),x114622),f327(f327(f102(f922(x114621,a910)),x114623),f242(f922(x114621,a910)))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,4731,11199,11444,4732,11329,4733,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,4723,11045,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3788,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307])).
% 207.27/207.97 cnf(11463,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x114631,a910)),x114632),f242(f922(x114631,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3874])).
% 207.27/207.97 cnf(11465,plain,
% 207.27/207.97 (~P55(f916(x114651),f159(x114651,x114652))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,4731,11199,11444,4732,11329,4733,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,4723,11045,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3788,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375])).
% 207.27/207.97 cnf(11469,plain,
% 207.27/207.97 (~P1(f327(f327(f255(x114691,x114692,a910,f327(f173(x114693),f114(x114693))),x114694),x114695))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,4731,11199,11444,4732,11329,4733,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,4723,11045,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,4096,3939,11215,11221,3788,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414])).
% 207.27/207.97 cnf(11470,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x114701),f114(x114701)),x114702))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(11475,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x114751),x114752),f190(f922(x114751,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11478,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(x114781,x114781)),f327(f327(f252(x114781,x114781),x114782),x114783)),f154(x114781,f114(f922(x114781,a915)))))),
% 207.27/207.97 inference(rename_variables,[],[4730])).
% 207.27/207.97 cnf(11480,plain,
% 207.27/207.97 (E(f327(f310(x114801,x114802,x114803),f481(x114804,x114803,x114801,f327(f310(x114801,x114802,x114803),x114804),x114802)),f327(f310(x114801,x114802,x114803),x114804))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,4731,11199,11444,4732,11329,4733,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,4723,11045,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,4096,3939,11215,11221,3788,11355,3941,10949,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435])).
% 207.27/207.97 cnf(11481,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x114811,a910)),x114812),x114812))),
% 207.27/207.97 inference(rename_variables,[],[3788])).
% 207.27/207.97 cnf(11484,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x114841),x114842),f190(f922(x114841,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11486,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x114861,a910)),f327(f285(x114862,x114861,f190(f922(f921(x114862,x114861),a910))),x114863)),x114864))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,4731,11199,11444,4732,11329,4733,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,4723,11045,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,4096,3939,11215,11221,3788,11355,3941,10949,11318,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479])).
% 207.27/207.97 cnf(11487,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x114871,a910)),f190(f922(x114871,a910))),x114872))),
% 207.27/207.97 inference(rename_variables,[],[3941])).
% 207.27/207.97 cnf(11490,plain,
% 207.27/207.97 (P1(f327(f327(f329(f921(x114901,x114901)),f327(f327(f252(x114901,x114901),x114902),x114902)),f307(x114901,x114903)))),
% 207.27/207.97 inference(rename_variables,[],[4130])).
% 207.27/207.97 cnf(11492,plain,
% 207.27/207.97 (~P32(x114921,x114922,x114923,f327(f327(f155(x114924,x114921),x114925),f327(a113,f114(x114924))),f114(x114922))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,11431,4731,11199,11444,4732,11329,4733,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,4723,11045,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,4096,3939,11215,11221,3788,11355,3941,10949,11318,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487])).
% 207.27/207.97 cnf(11494,plain,
% 207.27/207.97 (~E(f327(f327(f103(f922(f921(f916(x114941),f916(x114941)),a910)),f327(f286(f916(x114941),f916(x114941)),f159(x114941,x114942))),f307(f916(x114941),f159(x114941,x114942))),f190(f922(f921(f916(x114941),f916(x114941)),a910)))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,11431,4731,11199,11444,4732,11329,4733,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,4723,11045,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,4096,3939,11215,11221,3788,11355,3941,10949,11318,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509])).
% 207.27/207.97 cnf(11500,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x115001),f916(x115001))),f327(f327(f252(f916(x115001),f916(x115001)),x115002),f114(x115001))),f327(f286(f916(x115001),f916(x115001)),f158(x115001,x115003))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,11431,4731,11199,11444,4732,11329,4733,11450,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,4723,11045,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,4096,3939,11215,11221,3788,11355,3941,10949,11318,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601])).
% 207.27/207.97 cnf(11501,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x115011),f916(x115011))),f327(f327(f252(f916(x115011),f916(x115011)),x115012),f114(x115011))),f158(x115011,x115013)))),
% 207.27/207.97 inference(rename_variables,[],[4733])).
% 207.27/207.97 cnf(11507,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f916(x115071)),f114(x115071)),f327(f264(f916(x115071),f916(x115071)),f146(x115071,x115072))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,11431,4731,11199,11444,4732,11329,4733,11450,4734,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,4723,11045,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,4096,3939,11215,11221,3788,11355,3941,10949,11318,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641])).
% 207.27/207.97 cnf(11508,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x115081),f916(x115081))),f327(f327(f252(f916(x115081),f916(x115081)),f114(x115081)),x115082)),f146(x115081,x115083)))),
% 207.27/207.97 inference(rename_variables,[],[4734])).
% 207.27/207.97 cnf(11516,plain,
% 207.27/207.97 (P1(f327(f327(f329(x115161),x115162),f242(f922(x115161,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(11521,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x115211,a910)),f190(f922(x115211,a910))),x115212))),
% 207.27/207.97 inference(rename_variables,[],[3941])).
% 207.27/207.97 cnf(11524,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x115241),x115242),f190(f922(x115241,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11527,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x115271,a910)),x115272),f242(f922(x115271,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3874])).
% 207.27/207.97 cnf(11531,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x115311,a910)),f327(f285(x115312,x115311,x115313),f190(f922(x115312,a910)))),x115314))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,4713,11276,3596,3388,10586,4273,4130,11296,11431,4731,11199,11444,4732,11329,4733,11450,4734,4735,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,3553,10913,10943,10952,10955,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750])).
% 207.27/207.97 cnf(11532,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x115321,a910)),f190(f922(x115321,a910))),x115322))),
% 207.27/207.97 inference(rename_variables,[],[3941])).
% 207.27/207.97 cnf(11545,plain,
% 207.27/207.97 (P1(f327(f242(f922(x115451,a910)),x115452))),
% 207.27/207.97 inference(rename_variables,[],[3553])).
% 207.27/207.97 cnf(11553,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x115531),f916(x115531))),f327(f327(f252(f916(x115531),f916(x115531)),x115532),f114(x115531))),f146(x115531,x115533)))),
% 207.27/207.97 inference(rename_variables,[],[4731])).
% 207.27/207.97 cnf(11556,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x115561),f916(x115561))),f327(f327(f252(f916(x115561),f916(x115561)),x115562),f114(x115561))),f148(x115561,x115563)))),
% 207.27/207.97 inference(rename_variables,[],[4732])).
% 207.27/207.97 cnf(11559,plain,
% 207.27/207.97 (~E(f327(f327(f152(x115591),x115592),x115593),x115593)),
% 207.27/207.97 inference(rename_variables,[],[4669])).
% 207.27/207.97 cnf(11562,plain,
% 207.27/207.97 (~E(f327(a113,x115621),x115621)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11565,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x115651),x115652),f190(f922(x115651,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11567,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x115671),x115672),f327(f285(x115673,x115671,x115674),f327(f285(x115675,x115673,x115676),f190(f922(x115675,a910))))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,3596,3388,10586,4273,4130,11296,11431,4731,11199,11444,4732,11329,11447,4733,11450,4734,11508,4735,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,3553,10913,10943,10952,10955,10958,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888])).
% 207.27/207.97 cnf(11570,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x115701),x115702),f190(f922(x115701,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11573,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x115731),x115732),f190(f922(x115731,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11576,plain,
% 207.27/207.97 (P1(f327(f327(f329(f921(f916(x115761),f916(x115761))),f327(f327(f252(f916(x115761),f916(x115761)),x115762),x115762)),f159(x115761,f307(x115761,x115763))))),
% 207.27/207.97 inference(rename_variables,[],[4266])).
% 207.27/207.97 cnf(11579,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x115791),f916(x115791))),f327(f327(f252(f916(x115791),f916(x115791)),x115792),f114(x115791))),f146(x115791,x115793)))),
% 207.27/207.97 inference(rename_variables,[],[4731])).
% 207.27/207.97 cnf(11589,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(x115891,x115891)),f327(f327(f252(x115891,x115891),x115892),x115893)),f154(x115891,f114(f922(x115891,a915)))))),
% 207.27/207.97 inference(rename_variables,[],[4730])).
% 207.27/207.97 cnf(11592,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x115921),x115922),f190(f922(x115921,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11595,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x115951),x115952),f190(f922(x115951,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11598,plain,
% 207.27/207.97 (P1(f327(f327(f329(x115981),x115982),f242(f922(x115981,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(11601,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x116011),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(11605,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x116051),f916(x116051))),f327(f327(f252(f916(x116051),f916(x116051)),x116052),x116053)),f158(x116051,f154(x116051,f114(f922(x116051,a915))))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,3596,3388,10586,4273,4130,11296,11431,4731,11199,11444,11553,4732,11329,11447,4733,11450,4734,11508,4735,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4266,11576,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,11516,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,3553,10913,10943,10952,10955,10958,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,11478,11589,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081])).
% 207.27/207.97 cnf(11606,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(x116061,x116061)),f327(f327(f252(x116061,x116061),x116062),x116063)),f154(x116061,f114(f922(x116061,a915)))))),
% 207.27/207.97 inference(rename_variables,[],[4730])).
% 207.27/207.97 cnf(11614,plain,
% 207.27/207.97 (~E(f327(f258(x116141,x116142,x116143,x116143,f310(x116144,f922(x116144,a910),x116145),f31(x116143)),x116146),f327(f258(x116141,x116142,x116143,x116143,f308(x116144),f31(x116143)),x116146))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,3596,3388,10586,4273,4130,11296,11431,4731,11199,11444,11553,4732,11329,11447,4733,11450,4734,11508,4735,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4266,11576,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,11516,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,3553,10913,10943,10952,10955,10958,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,11478,11589,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132])).
% 207.27/207.97 cnf(11615,plain,
% 207.27/207.97 (~E(f327(f310(x116151,f922(x116151,a910),x116152),x116153),f327(f308(x116151),x116153))),
% 207.27/207.97 inference(rename_variables,[],[4713])).
% 207.27/207.97 cnf(11618,plain,
% 207.27/207.97 (~E(f327(f310(x116181,f922(x116181,a910),x116182),x116183),f327(f308(x116181),x116183))),
% 207.27/207.97 inference(rename_variables,[],[4713])).
% 207.27/207.97 cnf(11623,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x116231),f916(x116231))),f327(f327(f252(f916(x116231),f916(x116231)),x116232),f114(x116231))),f146(x116231,x116233)))),
% 207.27/207.97 inference(rename_variables,[],[4731])).
% 207.27/207.97 cnf(11629,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(f916(x116291),f916(x116291))),f327(f327(f252(f916(x116291),f916(x116291)),x116292),f114(x116291))),f146(x116291,x116293)))),
% 207.27/207.97 inference(rename_variables,[],[4731])).
% 207.27/207.97 cnf(11632,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x116321),x116322),f190(f922(x116321,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11636,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(x116361,x116362)),x116363),f327(f327(f289(x116361,x116364,x116362),f190(f922(f921(x116361,x116364),a910))),x116365)))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,11615,3596,3388,10586,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4266,11576,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,11516,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,3553,10913,10943,10952,10955,10958,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,11478,11589,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355])).
% 207.27/207.97 cnf(11637,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x116371),x116372),f190(f922(x116371,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11640,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x116401),x116402),f190(f922(x116401,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11643,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x116431),x116432),f190(f922(x116431,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11646,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x116461),x116462),f190(f922(x116461,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11649,plain,
% 207.27/207.97 (P1(f327(f327(f329(x116491),f327(x116492,x116493)),f327(f310(x116494,x116491,x116492),f242(f922(x116494,a910)))))),
% 207.27/207.97 inference(rename_variables,[],[4096])).
% 207.27/207.97 cnf(11651,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(x116511,x116512)),x116513),f327(f310(f921(x116514,x116514),f921(x116511,x116512),f258(x116514,x116511,x116514,x116512,x116515,x116516)),f154(x116514,f114(f922(x116514,a915))))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,4660,10686,10786,11250,3288,3338,3453,10525,10528,10621,10624,3430,3951,3328,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,11615,3596,3388,10586,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,4706,10493,10496,10522,10646,10821,11027,11042,11157,4719,3931,3698,4078,3519,3521,3495,4703,4664,4266,11576,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,11516,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,3553,10913,10943,10952,10955,10958,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4725,10812,4730,11285,11288,11478,11589,11606,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437])).
% 207.27/207.97 cnf(11652,plain,
% 207.27/207.97 (~P1(f327(f327(f329(f921(x116521,x116521)),f327(f327(f252(x116521,x116521),x116522),x116523)),f154(x116521,f114(f922(x116521,a915)))))),
% 207.27/207.97 inference(rename_variables,[],[4730])).
% 207.27/207.97 cnf(11660,plain,
% 207.27/207.97 (E(f115(x116601,f114(x116601)),f114(x116601))),
% 207.27/207.97 inference(rename_variables,[],[3338])).
% 207.27/207.97 cnf(11663,plain,
% 207.27/207.97 (~E(f327(a113,x116631),x116631)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11670,plain,
% 207.27/207.97 (~E(f327(a113,x116701),x116701)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11675,plain,
% 207.27/207.97 (E(f327(f284(x116751,x116751),f263(x116751,x116752)),x116752)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(11678,plain,
% 207.27/207.97 (E(f327(f284(x116781,x116781),f263(x116781,x116782)),x116782)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(11684,plain,
% 207.27/207.97 (~E(f327(a113,x116841),x116841)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11689,plain,
% 207.27/207.97 (~E(f327(f327(f80(a1),x116891),x116891),a98)),
% 207.27/207.97 inference(rename_variables,[],[4667])).
% 207.27/207.97 cnf(11696,plain,
% 207.27/207.97 (E(f327(f327(f23(a915),f2(a915)),x116961),f2(a915))),
% 207.27/207.97 inference(rename_variables,[],[3409])).
% 207.27/207.97 cnf(11699,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x116991),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(11706,plain,
% 207.27/207.97 (E(f327(f327(f80(a1),f327(f327(f81(a1),x117061),f327(f327(f37(a1),x117062),x117061))),f46(a1,x117062,x117061)),x117062)),
% 207.27/207.97 inference(rename_variables,[],[4045])).
% 207.27/207.97 cnf(11730,plain,
% 207.27/207.97 (~E(f327(a113,x117301),x117301)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11733,plain,
% 207.27/207.97 (~E(f327(a113,x117331),x117331)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11759,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x117591),f114(x117591)),x117592))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(11765,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),f2(a915)),f327(a113,x117651)))),
% 207.27/207.97 inference(rename_variables,[],[3572])).
% 207.27/207.97 cnf(11766,plain,
% 207.27/207.97 (~E(f327(a113,x117661),x117661)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11769,plain,
% 207.27/207.97 (P1(f327(f327(f329(x117691),x117692),f242(f922(x117691,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(11781,plain,
% 207.27/207.97 (~E(f327(a113,x117811),x117811)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11784,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x117841),x117841))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(11791,plain,
% 207.27/207.97 (P1(f327(f66(x117911,x117912,x117913,x117914,f190(f922(x117911,a910))),x117914))),
% 207.27/207.97 inference(rename_variables,[],[4408])).
% 207.27/207.97 cnf(11792,plain,
% 207.27/207.97 (E(f327(f284(x117921,x117921),f263(x117921,x117922)),x117922)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(11804,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),f327(f327(f80(a915),x118041),x118042)),f327(f327(f80(a915),f327(a113,f327(f327(f80(a915),x118041),x118042))),f327(f327(f80(a915),x118041),x118042))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,3413,4660,10686,10786,11250,3109,3111,3120,3122,3126,3141,3155,3156,3160,3164,3167,3174,3192,3247,3248,3258,3270,3288,4648,3338,3453,10525,10528,10621,10624,10940,11675,11678,3430,3951,3328,4045,11706,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,3572,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,4719,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,11144,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,11516,11598,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,3553,10913,10943,10952,10955,10958,3585,4012,3949,10565,4712,10513,10901,10904,11399,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,10910,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508])).
% 207.27/207.97 cnf(11805,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),f327(f327(f80(a915),x118051),x118052)),x118052))),
% 207.27/207.97 inference(rename_variables,[],[4726])).
% 207.27/207.97 cnf(11808,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a1),f327(f101(a1),x118081)),f2(a1)))),
% 207.27/207.97 inference(rename_variables,[],[4719])).
% 207.27/207.97 cnf(11820,plain,
% 207.27/207.97 (~E(f327(f327(f152(x118201),x118202),f327(f327(f135(x118201),f115(x118201,f114(x118201))),x118203)),x118203)),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,3413,4660,10686,10786,11250,3109,3111,3119,3120,3122,3126,3141,3155,3156,3160,3164,3167,3174,3192,3247,3248,3258,3270,3288,4648,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,3430,3951,3328,4045,11706,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,3572,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,4719,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,11144,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,11516,11598,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,3553,10913,10943,10952,10955,10958,3585,4012,3949,10565,4712,10513,10901,10904,11399,11415,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,10910,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527])).
% 207.27/207.97 cnf(11828,plain,
% 207.27/207.97 (~E(f327(f327(f103(a915),f327(a113,x118281)),x118281),f327(a113,x118281))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,3413,4660,10686,10786,11250,3109,3111,3119,3120,3122,3126,3141,3155,3156,3160,3164,3167,3174,3179,3192,3198,3247,3248,3258,3270,3288,4648,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,3430,3951,3328,4045,11706,3392,3324,3352,3336,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,3572,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,4719,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,11144,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,11516,11598,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,3553,10913,10943,10952,10955,10958,3585,4012,3949,10565,4712,10513,10901,10904,11399,11415,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,10910,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535])).
% 207.27/207.97 cnf(11831,plain,
% 207.27/207.97 (E(f327(f284(x118311,x118311),f263(x118311,x118312)),x118312)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(11836,plain,
% 207.27/207.97 (E(f327(f284(x118361,x118361),f263(x118361,x118362)),x118362)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(11839,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a1),f327(f101(a1),x118391)),f2(a1)))),
% 207.27/207.97 inference(rename_variables,[],[4719])).
% 207.27/207.97 cnf(11844,plain,
% 207.27/207.97 (~E(f327(a113,x118441),x118441)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11853,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x118531),f114(x118531)),x118532))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(11873,plain,
% 207.27/207.97 (E(f46(a915,x118731,x118731),f2(a915))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,3413,4660,10686,10786,11250,3109,3111,3112,3119,3120,3122,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3192,3198,3199,3247,3248,3251,3258,3270,3288,4648,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,3430,3951,3328,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,3944,3476,3572,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,4719,11808,11839,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,11144,3494,4702,10533,10562,11066,11108,3645,10791,10882,11152,11196,11434,11437,11516,11598,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,4712,10513,10901,10904,11399,11415,3513,10946,11102,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,10910,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691])).
% 207.27/207.97 cnf(11876,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a1),f327(f101(a1),x118761)),f2(a1)))),
% 207.27/207.97 inference(rename_variables,[],[4719])).
% 207.27/207.97 cnf(11879,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x118791),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(11880,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x118801),f327(a113,x118801)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(11883,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a1),f327(f101(a1),x118831)),f2(a1)))),
% 207.27/207.97 inference(rename_variables,[],[4719])).
% 207.27/207.97 cnf(11886,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x118861),x118862),f190(f922(x118861,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(11887,plain,
% 207.27/207.97 (P1(f327(f327(f329(f922(x118871,a910)),x118872),f327(f308(x118871),x118872)))),
% 207.27/207.97 inference(rename_variables,[],[3857])).
% 207.27/207.97 cnf(11902,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x119021)),x119021))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(11903,plain,
% 207.27/207.97 (~E(f327(a113,x119031),x119031)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11913,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),f327(f327(f80(a915),x119131),x119132)),x119131))),
% 207.27/207.97 inference(rename_variables,[],[4727])).
% 207.27/207.97 cnf(11916,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a1),f327(f101(a1),x119161)),f2(a1)))),
% 207.27/207.97 inference(rename_variables,[],[4719])).
% 207.27/207.97 cnf(11919,plain,
% 207.27/207.97 (~E(f327(a113,x119191),x119191)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(11932,plain,
% 207.27/207.97 (P1(f327(f327(f329(x119321),x119322),f327(f327(f309(x119321),x119322),x119323)))),
% 207.27/207.97 inference(rename_variables,[],[3804])).
% 207.27/207.97 cnf(11933,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a1),f2(a1)),f327(f79(a1),f327(f101(a1),f327(a113,x119331)))))),
% 207.27/207.97 inference(rename_variables,[],[4728])).
% 207.27/207.97 cnf(11936,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),f327(f327(f23(a915),x119361),x119362)),f327(a113,x119361)))),
% 207.27/207.97 inference(rename_variables,[],[3944])).
% 207.27/207.97 cnf(11939,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f46(a915,x119391,x119392)),x119391))),
% 207.27/207.97 inference(rename_variables,[],[3949])).
% 207.27/207.97 cnf(11945,plain,
% 207.27/207.97 (E(f327(f284(x119451,x119451),f263(x119451,x119452)),x119452)),
% 207.27/207.97 inference(rename_variables,[],[3453])).
% 207.27/207.97 cnf(11950,plain,
% 207.27/207.97 (E(f327(f327(f135(x119501),f170(x119501,x119502,x119503)),f170(x119501,x119504,x119503)),f327(f327(f135(x119501),f170(x119501,x119504,x119503)),f170(x119501,x119502,x119503)))),
% 207.27/207.97 inference(rename_variables,[],[4059])).
% 207.27/207.97 cnf(11955,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x119551)),x119551))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(11964,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x119641),x119641))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(11967,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f46(a915,x119671,x119672)),x119671))),
% 207.27/207.97 inference(rename_variables,[],[3949])).
% 207.27/207.97 cnf(11968,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f2(a915)),x119681))),
% 207.27/207.97 inference(rename_variables,[],[3513])).
% 207.27/207.97 cnf(11970,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a1),f78(a1)),f2(a1)))),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,3413,4660,10686,10786,11250,3108,3109,3111,3112,3119,3120,3122,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3192,3198,3199,3247,3248,3251,3256,3258,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,3944,3476,3572,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,4719,11808,11839,11876,11883,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,3493,10641,10697,10931,11022,11144,3494,4702,10533,10562,11066,11108,11117,3645,10791,10882,11152,11196,11434,11437,11516,11598,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,4712,10513,10901,10904,11399,11415,11902,3513,10946,11102,11172,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,4729,10705,4369,4277,3972,4726,10538,10541,10907,10910,4727,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981])).
% 207.27/207.97 cnf(11985,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x119851),x119851))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(11988,plain,
% 207.27/207.97 (P1(f327(f327(f329(x119881),f327(x119882,x119883)),f327(f310(x119884,x119881,x119882),f242(f922(x119884,a910)))))),
% 207.27/207.97 inference(rename_variables,[],[4096])).
% 207.27/207.97 cnf(11989,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x119891)),x119891))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(11992,plain,
% 207.27/207.97 (P1(f327(f327(f329(x119921),f327(x119922,x119923)),f327(f310(x119924,x119921,x119922),f242(f922(x119924,a910)))))),
% 207.27/207.97 inference(rename_variables,[],[4096])).
% 207.27/207.97 cnf(11993,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),f327(f327(f80(a915),x119931),x119932)),x119932))),
% 207.27/207.97 inference(rename_variables,[],[4726])).
% 207.27/207.97 cnf(11998,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),f327(f327(f80(a915),x119981),x119982)),x119981))),
% 207.27/207.97 inference(rename_variables,[],[4727])).
% 207.27/207.97 cnf(12001,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x120011),f114(x120011)),x120012))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(12004,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x120041),x120041))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(12006,plain,
% 207.27/207.97 (E(f327(f327(f81(a915),x120061),f327(f327(f37(a915),x120061),x120061)),x120061)),
% 207.27/207.97 inference(scs_inference,[],[3729,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,3413,4660,10686,10786,11250,3108,3109,3111,3112,3119,3120,3122,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3192,3198,3199,3247,3248,3251,3256,3258,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,3944,11936,3476,3572,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,4719,11808,11839,11876,11883,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,3493,10641,10697,10931,11022,11144,3494,4702,10533,10562,11066,11108,11117,11964,3645,10791,10882,11152,11196,11434,11437,11516,11598,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,4712,10513,10901,10904,11399,11415,11902,11955,3513,10946,11102,11172,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106])).
% 207.27/207.97 cnf(12012,plain,
% 207.27/207.97 (~P33(x120121,x120122,f114(x120121))),
% 207.27/207.97 inference(rename_variables,[],[4680])).
% 207.27/207.97 cnf(12015,plain,
% 207.27/207.97 (P1(f327(f327(f329(x120151),x120152),f242(f922(x120151,a910))))),
% 207.27/207.97 inference(rename_variables,[],[3645])).
% 207.27/207.97 cnf(12016,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x120161)),x120161))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(12028,plain,
% 207.27/207.97 (E(f327(f36(x120281),f327(f327(f309(x120281),x120282),f190(f922(x120281,a910)))),f327(a113,f327(f36(x120281),f190(f922(x120281,a910)))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,3413,4660,10686,10786,11250,3108,3109,3111,3112,3119,3120,3122,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3192,3198,3199,3247,3248,3251,3256,3258,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,3944,11936,3476,3572,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,4719,11808,11839,11876,11883,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,3493,10641,10697,10931,11022,11144,3494,3568,4702,10533,10562,11066,11108,11117,11964,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,4712,10513,10901,10904,11399,11415,11902,11955,11989,3513,10946,11102,11172,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161])).
% 207.27/207.97 cnf(12029,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x120291),x120292),f190(f922(x120291,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(12032,plain,
% 207.27/207.97 (E(f327(f327(f16(x120321,x120322),x120323),x120324),x120323)),
% 207.27/207.97 inference(rename_variables,[],[3483])).
% 207.27/207.97 cnf(12035,plain,
% 207.27/207.97 (E(f327(f327(f16(x120351,x120352),x120353),x120354),x120353)),
% 207.27/207.97 inference(rename_variables,[],[3483])).
% 207.27/207.97 cnf(12047,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),f2(a915)),f327(a113,x120471)))),
% 207.27/207.97 inference(rename_variables,[],[3572])).
% 207.27/207.97 cnf(12050,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x120501),x120501))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(12053,plain,
% 207.27/207.97 (P1(f327(f35(x120531),f327(f173(x120531),x120532)))),
% 207.27/207.97 inference(rename_variables,[],[3532])).
% 207.27/207.97 cnf(12056,plain,
% 207.27/207.97 (P1(f327(f35(x120561),f327(f173(x120561),x120562)))),
% 207.27/207.97 inference(rename_variables,[],[3532])).
% 207.27/207.97 cnf(12059,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),f327(f79(a1),f327(f101(a1),x120591))),f327(f101(a1),x120592)))),
% 207.27/207.97 inference(rename_variables,[],[3973])).
% 207.27/207.97 cnf(12062,plain,
% 207.27/207.97 (~P1(f327(f327(f329(x120621),x120622),f190(f922(x120621,a910))))),
% 207.27/207.97 inference(rename_variables,[],[4715])).
% 207.27/207.97 cnf(12082,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),f46(a915,x120821,f190(a915))),x120821))),
% 207.27/207.97 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3192,3196,3198,3199,3247,3248,3251,3256,3258,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,4719,11808,11839,11876,11883,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,3493,10641,10697,10931,11022,11144,11784,3494,3568,4702,10533,10562,11066,11108,11117,11964,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,3513,10946,11102,11172,3973,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368])).
% 207.27/207.97 cnf(12083,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x120831),x120831))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(12086,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x120861),f327(a113,x120861)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(12089,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x120891),x120891))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(12100,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x121001),x121001))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(12103,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x121031),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(12108,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x121081),f2(a915)))),
% 207.27/207.97 inference(rename_variables,[],[4706])).
% 207.27/207.97 cnf(12117,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f2(a915)),x121171))),
% 207.27/207.97 inference(rename_variables,[],[3513])).
% 207.27/207.97 cnf(12118,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x121181)),x121181))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(12121,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x121211),f114(x121211)),x121212))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(12124,plain,
% 207.27/207.97 (~P1(f327(f327(f173(x121241),f114(x121241)),x121242))),
% 207.27/207.97 inference(rename_variables,[],[4711])).
% 207.27/207.97 cnf(12136,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a1),f327(f101(a1),f327(a113,x121361))),f327(f79(a1),f2(a1))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,4719,11808,11839,11876,11883,11916,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,3493,10641,10697,10931,11022,11144,11784,12083,12089,3494,3568,4702,10533,10562,11066,11108,11117,11964,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,3513,10946,11102,11172,11968,3973,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625])).
% 207.27/207.97 cnf(12140,plain,
% 207.27/207.97 (P1(f327(f327(f235(a1),f327(f79(a1),f78(a1))),f2(a1)))),
% 207.27/207.97 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,4719,11808,11839,11876,11883,11916,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,3493,10641,10697,10931,11022,11144,11784,12083,12089,3494,3568,4702,10533,10562,11066,11108,11117,11964,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,3513,10946,11102,11172,11968,3973,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641])).
% 207.27/207.97 cnf(12143,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x121431)),x121431))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(12146,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x121461)),x121461))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(12149,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x121491)),x121491))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(12152,plain,
% 207.27/207.97 (~P1(f327(f327(f234(a915),f327(a113,x121521)),x121521))),
% 207.27/207.97 inference(rename_variables,[],[4712])).
% 207.27/207.97 cnf(12154,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),f327(f327(f189(a915),x121541),x121542)),x121542))),
% 207.27/207.97 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,4719,11808,11839,11876,11883,11916,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,3493,10641,10697,10931,11022,11144,11784,12083,12089,3494,3568,4702,10533,10562,11066,11108,11117,11964,11985,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,3513,10946,11102,11172,11968,3973,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651])).
% 207.27/207.97 cnf(12155,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x121551),x121551))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(12158,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x121581),x121581))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(12161,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x121611),x121611))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(12164,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x121641),x121641))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(12180,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f327(f327(f23(a915),x121801),f327(a113,x121801))),f2(a915)))),
% 207.27/207.97 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,4719,11808,11839,11876,11883,11916,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,3493,10641,10697,10931,11022,11144,11784,12083,12089,3494,3568,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,3513,10946,11102,11172,11968,3973,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719])).
% 207.27/207.97 cnf(12181,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x121811),x121811))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(12184,plain,
% 207.27/207.97 (P23(a915,a915,a113,x121841)),
% 207.27/207.97 inference(rename_variables,[],[3697])).
% 207.27/207.97 cnf(12186,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x121861),f327(f75(a1),x121861)))),
% 207.27/207.97 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,4719,11808,11839,11876,11883,11916,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4139,11094,4189,3857,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,3494,3568,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,3513,10946,11102,11172,11968,3973,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740])).
% 207.27/207.97 cnf(12187,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x121871),x121871))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(12198,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x121981),x121981))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(12201,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(f921(f916(x122011),f916(x122011)),a910)),f159(x122011,x122012)),f307(f916(x122011),f158(x122011,x122012))))),
% 207.27/207.97 inference(rename_variables,[],[4194])).
% 207.27/207.97 cnf(12208,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),x122081),f327(a113,x122081)))),
% 207.27/207.97 inference(rename_variables,[],[3560])).
% 207.27/207.97 cnf(12211,plain,
% 207.27/207.97 (P1(f327(f327(f329(f922(x122111,a910)),x122112),f327(f308(x122111),x122112)))),
% 207.27/207.97 inference(rename_variables,[],[3857])).
% 207.27/207.97 cnf(12212,plain,
% 207.27/207.97 (~E(f327(a113,x122121),x122121)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(12217,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x122171),x122171))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(12221,plain,
% 207.27/207.97 (P1(f327(f327(f235(a915),f327(a106,f2(a1))),f327(a106,f78(a1))))),
% 207.27/207.97 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,4719,11808,11839,11876,11883,11916,3931,3698,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,4139,11094,4189,3857,11887,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,3494,3568,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,3513,10946,11102,11172,11968,3973,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843])).
% 207.27/207.97 cnf(12222,plain,
% 207.27/207.97 (P1(f327(f327(f234(a1),x122221),x122221))),
% 207.27/207.97 inference(rename_variables,[],[3493])).
% 207.27/207.97 cnf(12229,plain,
% 207.27/207.97 (P1(f327(f35(a915),f305(a915,x122291,x122292)))),
% 207.27/207.97 inference(rename_variables,[],[3699])).
% 207.27/207.97 cnf(12236,plain,
% 207.27/207.97 (P1(f327(f327(f234(f922(x122361,a910)),x122362),f327(f327(f309(x122361),x122363),x122362)))),
% 207.27/207.97 inference(rename_variables,[],[3939])).
% 207.27/207.97 cnf(12239,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),x122391),x122391))),
% 207.27/207.97 inference(rename_variables,[],[3492])).
% 207.27/207.97 cnf(12240,plain,
% 207.27/207.97 (~E(f327(a113,x122401),x122401)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(12253,plain,
% 207.27/207.97 (~P1(f327(f327(f235(a915),x122531),x122531))),
% 207.27/207.97 inference(rename_variables,[],[4702])).
% 207.27/207.97 cnf(12254,plain,
% 207.27/207.97 (~E(f327(a113,x122541),x122541)),
% 207.27/207.97 inference(rename_variables,[],[4650])).
% 207.27/207.97 cnf(12256,plain,
% 207.27/207.97 (P1(f327(f327(f234(a915),f327(f327(f238(a915),x122561),x122562)),x122562))),
% 207.27/207.98 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3951,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,4139,11094,4189,3857,11887,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,3494,3568,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,3513,10946,11102,11172,11968,3973,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975])).
% 207.27/207.98 cnf(12257,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x122571),x122571))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12260,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x122601),x122601))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12263,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x122631),x122631))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12266,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x122661),x122661))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12269,plain,
% 207.27/207.98 (P1(f327(f327(f234(a1),x122691),x122691))),
% 207.27/207.98 inference(rename_variables,[],[3493])).
% 207.27/207.98 cnf(12272,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x122721),x122721))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12275,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x122751),x122751))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12276,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x122761),f327(a113,x122761)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(12283,plain,
% 207.27/207.98 (~E(f327(a113,x122831),x122831)),
% 207.27/207.98 inference(rename_variables,[],[4650])).
% 207.27/207.98 cnf(12288,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x122881),x122881))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12289,plain,
% 207.27/207.98 (~E(f327(a113,x122891),x122891)),
% 207.27/207.98 inference(rename_variables,[],[4650])).
% 207.27/207.98 cnf(12292,plain,
% 207.27/207.98 (P1(f327(f327(f234(a1),x122921),x122921))),
% 207.27/207.98 inference(rename_variables,[],[3493])).
% 207.27/207.98 cnf(12294,plain,
% 207.27/207.98 (~P1(f327(f327(f234(a915),f327(a106,f78(a1))),f327(a106,f2(a1))))),
% 207.27/207.98 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,4139,11094,4189,3857,11887,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,3494,3568,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,3513,10946,11102,11172,11968,3973,4314,4709,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053])).
% 207.27/207.98 cnf(12309,plain,
% 207.27/207.98 (P1(f327(f327(f234(a1),x123091),x123091))),
% 207.27/207.98 inference(rename_variables,[],[3493])).
% 207.27/207.98 cnf(12314,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),f2(a915)),x123141))),
% 207.27/207.98 inference(rename_variables,[],[3513])).
% 207.27/207.98 cnf(12330,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x123301),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(12333,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x123331),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(12336,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x123361),x123362),f190(f922(x123361,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12339,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x123391),x123392),f190(f922(x123391,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12342,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x123421),x123421))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12345,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x123451),x123451))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12347,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x123471),f327(f327(f103(a915),x123472),x123471)))),
% 207.27/207.98 inference(scs_inference,[],[3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,3944,11936,3476,3572,11765,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,4139,11094,4189,3857,11887,4223,3874,10649,10746,11302,11380,11463,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,3568,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,3513,10946,11102,11172,11968,12117,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4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% 207.27/207.98 cnf(12348,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x123481),x123481))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12351,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x123511),x123511))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12354,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x123541),f327(a113,x123541)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(12361,plain,
% 207.27/207.98 (P1(f327(f327(f329(f922(x123611,a910)),x123612),f327(f308(x123611),x123612)))),
% 207.27/207.98 inference(rename_variables,[],[3857])).
% 207.27/207.98 cnf(12366,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x123661,a910)),x123662),f327(f327(f309(x123661),x123663),x123662)))),
% 207.27/207.98 inference(rename_variables,[],[3939])).
% 207.27/207.98 cnf(12373,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x123731),x123732),f190(f922(x123731,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12382,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x123821,a910)),x123822),f242(f922(x123821,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3874])).
% 207.27/207.98 cnf(12383,plain,
% 207.27/207.98 (~E(f327(a113,x123831),x123831)),
% 207.27/207.98 inference(rename_variables,[],[4650])).
% 207.27/207.98 cnf(12386,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x123861,a910)),x123862),f242(f922(x123861,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3874])).
% 207.27/207.98 cnf(12389,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x123891,a910)),f327(f173(x123891),f327(f137(x123891,x123892),x123893))),f327(f173(x123891),x123893)))),
% 207.27/207.98 inference(rename_variables,[],[4139])).
% 207.27/207.98 cnf(12395,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x123951),f327(a113,x123951)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(12403,plain,
% 207.27/207.98 (~P1(f327(f327(f329(f921(x124031,x124031)),x124032),f154(x124031,f114(f922(x124031,a915)))))),
% 207.27/207.98 inference(scs_inference,[],[4622,3729,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3114,3115,3119,3120,3122,3125,3126,3141,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3347,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,4139,11094,4189,3857,11887,12211,4223,3874,10649,10746,11302,11380,11463,11527,12382,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,3568,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,3513,10946,11102,11172,11968,12117,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,12236,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450])).
% 207.27/207.98 cnf(12404,plain,
% 207.27/207.98 (E(f327(f284(x124041,x124041),f263(x124041,x124042)),x124042)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12415,plain,
% 207.27/207.98 (~P1(f327(f327(f234(a915),f327(a113,x124151)),x124151))),
% 207.27/207.98 inference(rename_variables,[],[4712])).
% 207.27/207.98 cnf(12416,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x124161),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(12419,plain,
% 207.27/207.98 (P1(f327(f35(x124191),f190(f922(x124191,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3568])).
% 207.27/207.98 cnf(12420,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x124201),x124202),f190(f922(x124201,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12427,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x124271,a910)),f327(f173(x124271),f177(x124271,x124272,x124273))),f327(f173(x124271),x124272)))),
% 207.27/207.98 inference(rename_variables,[],[4189])).
% 207.27/207.98 cnf(12430,plain,
% 207.27/207.98 (P23(x124301,x124301,f5(x124301),x124302)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12438,plain,
% 207.27/207.98 (P1(f327(f327(f329(f922(x124381,a910)),x124382),f327(f308(x124381),x124382)))),
% 207.27/207.98 inference(rename_variables,[],[3857])).
% 207.27/207.98 cnf(12445,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x124451),x124451))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12448,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x124481),x124482),f190(f922(x124481,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12451,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x124511,a910)),x124512),f327(f327(f309(x124511),x124513),x124512)))),
% 207.27/207.98 inference(rename_variables,[],[3939])).
% 207.27/207.98 cnf(12452,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x124521,a910)),x124522),f242(f922(x124521,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3874])).
% 207.27/207.98 cnf(12459,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x124591),x124591))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12462,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x124621),x124621))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12465,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x124651),x124651))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12468,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x124681),x124681))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12471,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x124711),f327(a113,x124711)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(12474,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x124741),f327(a113,x124741)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(12476,plain,
% 207.27/207.98 (P1(f327(f327(f287(a915),x124761),f327(f327(f81(a915),x124762),x124761)))),
% 207.27/207.98 inference(scs_inference,[],[4622,3729,11370,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3114,3115,3119,3120,3122,3125,3126,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3347,4166,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,12056,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,4139,11094,4189,11299,3857,11887,12211,12361,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,3513,10946,11102,11172,11968,12117,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,12236,12366,3788,11355,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782])).
% 207.27/207.98 cnf(12477,plain,
% 207.27/207.98 (P1(f327(f327(f287(a915),x124771),x124771))),
% 207.27/207.98 inference(rename_variables,[],[3494])).
% 207.27/207.98 cnf(12480,plain,
% 207.27/207.98 (P1(f327(f327(f287(a915),x124801),x124801))),
% 207.27/207.98 inference(rename_variables,[],[3494])).
% 207.27/207.98 cnf(12482,plain,
% 207.27/207.98 (P1(f327(f327(f234(a910),x124821),x124821))),
% 207.27/207.98 inference(scs_inference,[],[4622,3729,11370,4679,4680,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3347,4166,3336,3337,3963,3549,11097,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,12056,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,4139,11094,4189,11299,3857,11887,12211,12361,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,3513,10946,11102,11172,11968,12117,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,12236,12366,3788,11355,11481,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808])).
% 207.27/207.98 cnf(12483,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x124831,a910)),x124832),x124832))),
% 207.27/207.98 inference(rename_variables,[],[3788])).
% 207.27/207.98 cnf(12490,plain,
% 207.27/207.98 (P1(f327(f327(f329(f922(x124901,a910)),x124902),f327(f308(x124901),x124902)))),
% 207.27/207.98 inference(rename_variables,[],[3857])).
% 207.27/207.98 cnf(12499,plain,
% 207.27/207.98 (~E(f327(a113,x124991),x124991)),
% 207.27/207.98 inference(rename_variables,[],[4650])).
% 207.27/207.98 cnf(12500,plain,
% 207.27/207.98 (E(f327(f310(x125001,x125001,f5(x125001)),x125002),x125002)),
% 207.27/207.98 inference(rename_variables,[],[3549])).
% 207.27/207.98 cnf(12503,plain,
% 207.27/207.98 (P30(x125031,x125032,f114(x125031),f114(x125031))),
% 207.27/207.98 inference(rename_variables,[],[3738])).
% 207.27/207.98 cnf(12506,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x125061,a910)),f327(f173(x125061),f177(x125061,x125062,x125063))),f327(f173(x125061),x125062)))),
% 207.27/207.98 inference(rename_variables,[],[4189])).
% 207.27/207.98 cnf(12507,plain,
% 207.27/207.98 (P1(f327(f35(x125071),f327(f173(x125071),x125072)))),
% 207.27/207.98 inference(rename_variables,[],[3532])).
% 207.27/207.98 cnf(12518,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x125181),x125181))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12520,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),f327(f251(x125201,x125202),f327(f327(f252(x125201,x125202),x125203),f159(x125204,x125205)))),x125203))),
% 207.27/207.98 inference(scs_inference,[],[4622,3729,11370,3738,4679,4680,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3347,4166,3336,3337,3963,3549,11097,11224,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,12056,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,4139,11094,4189,11299,12427,3857,11887,12211,12361,12438,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,3513,10946,11102,11172,11968,12117,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,12236,12366,3788,11355,11481,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,4369,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9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% 207.27/207.98 cnf(12521,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x125211),x125211))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12526,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),f2(a915)),x125261))),
% 207.27/207.98 inference(rename_variables,[],[3513])).
% 207.27/207.98 cnf(12533,plain,
% 207.27/207.98 (P11(a915,f327(f169(a915),f327(f327(f155(f916(x125331),a915),f191(f916(x125331))),f180(x125331,x125332))))),
% 207.27/207.98 inference(rename_variables,[],[4055])).
% 207.27/207.98 cnf(12536,plain,
% 207.27/207.98 (P23(x125361,x125361,f5(x125361),x125362)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12539,plain,
% 207.27/207.98 (P23(x125391,x125391,f5(x125391),x125392)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12542,plain,
% 207.27/207.98 (P1(f327(f327(f329(f916(x125421)),f114(x125421)),f162(x125421,x125422)))),
% 207.27/207.98 inference(rename_variables,[],[3689])).
% 207.27/207.98 cnf(12545,plain,
% 207.27/207.98 (~P1(f327(f327(f190(f922(x125451,f922(x125452,a910))),x125453),x125454))),
% 207.27/207.98 inference(rename_variables,[],[4729])).
% 207.27/207.98 cnf(12550,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x125501),x125501))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12551,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),f2(a915)),x125511))),
% 207.27/207.98 inference(rename_variables,[],[3513])).
% 207.27/207.98 cnf(12554,plain,
% 207.27/207.98 (~P1(f327(f327(f190(f922(x125541,f922(x125542,a910))),x125543),x125544))),
% 207.27/207.98 inference(rename_variables,[],[4729])).
% 207.27/207.98 cnf(12557,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(f921(f916(x125571),f916(x125571)),a910)),f159(x125571,x125572)),f307(f916(x125571),f158(x125571,x125572))))),
% 207.27/207.98 inference(rename_variables,[],[4194])).
% 207.27/207.98 cnf(12563,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x125631,a910)),f327(f310(x125632,x125631,x125633),f327(f311(x125632,x125631,x125633),x125634))),x125634))),
% 207.27/207.98 inference(rename_variables,[],[4369])).
% 207.27/207.98 cnf(12566,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x125661,a910)),f327(f173(x125661),f177(x125661,x125662,x125663))),f327(f173(x125661),x125662)))),
% 207.27/207.98 inference(rename_variables,[],[4189])).
% 207.27/207.98 cnf(12567,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x125671,a910)),f327(f173(x125671),f327(f137(x125671,x125672),x125673))),f327(f173(x125671),x125673)))),
% 207.27/207.98 inference(rename_variables,[],[4139])).
% 207.27/207.98 cnf(12569,plain,
% 207.27/207.98 (~P1(f327(f327(f234(f922(x125691,a910)),f242(f922(x125691,a910))),f190(f922(x125691,a910))))),
% 207.27/207.98 inference(scs_inference,[],[4622,3729,11370,12430,12536,3738,4679,4680,3365,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3347,4166,3336,3337,3963,3372,3549,11097,11224,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,3856,4544,4545,4667,3792,4008,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,12056,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,12201,12557,4139,11094,12389,4189,11299,12427,12506,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,12236,12366,3788,11355,11481,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,4369,11085,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224])).
% 207.27/207.98 cnf(12570,plain,
% 207.27/207.98 (~P1(f327(f327(f235(f922(x125701,a910)),x125702),f190(f922(x125701,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4723])).
% 207.27/207.98 cnf(12578,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x125781,a910)),f327(f310(x125782,x125781,x125783),f327(f311(x125782,x125781,x125783),x125784))),x125784))),
% 207.27/207.98 inference(rename_variables,[],[4369])).
% 207.27/207.98 cnf(12582,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(f916(a915),f916(a915))),f327(f327(f252(f916(a915),f916(a915)),f114(a915)),f115(a915,f114(a915)))),f263(f916(a915),f162(a915,x125821))))),
% 207.27/207.98 inference(scs_inference,[],[4622,3729,11370,12430,12536,3738,3747,3463,4679,4680,3362,3365,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3347,4166,3336,3337,3963,3372,3549,11097,11224,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,3856,4544,4545,4667,3792,4008,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,12056,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,12201,12557,4139,11094,12389,4189,11299,12427,12506,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,12236,12366,3788,11355,11481,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,4369,11085,12563,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321])).
% 207.27/207.98 cnf(12583,plain,
% 207.27/207.98 (P1(f327(f327(f329(f916(x125831)),f114(x125831)),f162(x125831,x125832)))),
% 207.27/207.98 inference(rename_variables,[],[3689])).
% 207.27/207.98 cnf(12586,plain,
% 207.27/207.98 (~P1(f327(f327(f329(f921(f916(x125861),f916(x125861))),f327(f327(f252(f916(x125861),f916(x125861)),x125862),f114(x125861))),f146(x125861,x125863)))),
% 207.27/207.98 inference(rename_variables,[],[4731])).
% 207.27/207.98 cnf(12589,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x125891),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(12591,plain,
% 207.27/207.98 (~P1(f327(f35(x125911),f242(f922(x125911,a910))))),
% 207.27/207.98 inference(scs_inference,[],[4622,3729,11370,12430,12536,3738,3747,3463,4679,4680,3362,3365,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,3697,3413,4660,10686,10786,11250,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3347,4166,3336,3337,3963,3372,3549,11097,11224,3423,4128,4669,10516,10683,3483,12032,4713,11276,11375,11615,11618,3596,3387,3388,10586,10916,3650,3305,3409,11696,4273,4130,11296,11431,11490,4731,11199,11444,11553,11579,11623,11629,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,3856,4544,4545,4667,3792,4008,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3682,4720,4266,11576,3814,3532,12053,12056,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,4235,4194,12201,12557,4139,11094,12389,4189,11299,12427,12506,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,3939,11215,11221,11239,12236,12366,3788,11355,11481,12483,3941,10949,11318,11487,11521,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,4369,11085,12563,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9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% 207.27/207.98 cnf(12592,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x125921,a910)),x125922),x125922))),
% 207.27/207.98 inference(rename_variables,[],[3788])).
% 207.27/207.98 cnf(12595,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x125951),x125952),f190(f922(x125951,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12598,plain,
% 207.27/207.98 (~P1(f327(f327(f190(f922(x125981,f922(x125982,a910))),x125983),x125984))),
% 207.27/207.98 inference(rename_variables,[],[4729])).
% 207.27/207.98 cnf(12601,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x126011,a910)),f327(f310(x126012,x126011,x126013),f327(f311(x126012,x126011,x126013),x126014))),x126014))),
% 207.27/207.98 inference(rename_variables,[],[4369])).
% 207.27/207.98 cnf(12602,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x126021,a910)),x126022),x126022))),
% 207.27/207.98 inference(rename_variables,[],[3788])).
% 207.27/207.98 cnf(12607,plain,
% 207.27/207.98 (E(f327(f284(x126071,x126071),f263(x126071,x126072)),x126072)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12610,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x126101,a910)),f327(f173(x126101),f177(x126101,x126102,x126103))),f327(f173(x126101),x126102)))),
% 207.27/207.98 inference(rename_variables,[],[4189])).
% 207.27/207.98 cnf(12611,plain,
% 207.27/207.98 (P1(f327(f35(x126111),f327(f173(x126111),x126112)))),
% 207.27/207.98 inference(rename_variables,[],[3532])).
% 207.27/207.98 cnf(12614,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x126141),x126141))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12617,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x126171),x126171))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12620,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x126201),x126201))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12631,plain,
% 207.27/207.98 (P23(x126311,x126311,f5(x126311),x126312)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12639,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x126391),x126392),f190(f922(x126391,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12642,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(x126421,x126421)),f327(f327(f252(x126421,x126421),x126422),x126422)),f307(x126421,x126423)))),
% 207.27/207.98 inference(rename_variables,[],[4130])).
% 207.27/207.98 cnf(12645,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x126451),x126452),f190(f922(x126451,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12648,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(x126481,x126481)),f327(f327(f252(x126481,x126481),x126482),x126482)),f307(x126481,x126483)))),
% 207.27/207.98 inference(rename_variables,[],[4130])).
% 207.27/207.98 cnf(12658,plain,
% 207.27/207.98 (~E(f327(f327(f152(x126581),x126582),x126583),x126583)),
% 207.27/207.98 inference(rename_variables,[],[4669])).
% 207.27/207.98 cnf(12665,plain,
% 207.27/207.98 (P1(f327(f327(f329(x126651),x126652),f242(f922(x126651,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3645])).
% 207.27/207.98 cnf(12666,plain,
% 207.27/207.98 (~E(f327(a113,x126661),x126661)),
% 207.27/207.98 inference(rename_variables,[],[4650])).
% 207.27/207.98 cnf(12669,plain,
% 207.27/207.98 (P1(f327(f327(f329(f916(x126691)),f114(x126691)),f162(x126691,x126692)))),
% 207.27/207.98 inference(rename_variables,[],[3689])).
% 207.27/207.98 cnf(12670,plain,
% 207.27/207.98 (~E(f327(f327(f152(x126701),x126702),x126703),f114(x126701))),
% 207.27/207.98 inference(rename_variables,[],[4676])).
% 207.27/207.98 cnf(12673,plain,
% 207.27/207.98 (P23(x126731,x126731,f5(x126731),x126732)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12676,plain,
% 207.27/207.98 (P1(f327(f327(f329(x126761),f327(x126762,x126763)),f327(f310(x126764,x126761,x126762),f242(f922(x126764,a910)))))),
% 207.27/207.98 inference(rename_variables,[],[4096])).
% 207.27/207.98 cnf(12677,plain,
% 207.27/207.98 (P23(x126771,x126771,f5(x126771),x126772)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12680,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x126801,a910)),f190(f922(x126801,a910))),x126802))),
% 207.27/207.98 inference(rename_variables,[],[3941])).
% 207.27/207.98 cnf(12681,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x126811,a910)),x126812),x126812))),
% 207.27/207.98 inference(rename_variables,[],[3788])).
% 207.27/207.98 cnf(12684,plain,
% 207.27/207.98 (P1(f327(f327(f329(x126841),f327(x126842,x126843)),f327(f310(x126844,x126841,x126842),f242(f922(x126844,a910)))))),
% 207.27/207.98 inference(rename_variables,[],[4096])).
% 207.27/207.98 cnf(12685,plain,
% 207.27/207.98 (P23(x126851,x126851,f5(x126851),x126852)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12688,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(f916(x126881),f916(x126881))),f327(f327(f252(f916(x126881),f916(x126881)),f114(x126881)),f114(x126881))),f159(x126881,x126882)))),
% 207.27/207.98 inference(rename_variables,[],[4273])).
% 207.27/207.98 cnf(12692,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x126921),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(12698,plain,
% 207.27/207.98 (E(f327(f327(f135(x126981),x126982),f114(x126981)),x126982)),
% 207.27/207.98 inference(rename_variables,[],[3424])).
% 207.27/207.98 cnf(12699,plain,
% 207.27/207.98 (~E(f327(f327(f152(x126991),x126992),x126993),x126993)),
% 207.27/207.98 inference(rename_variables,[],[4669])).
% 207.27/207.98 cnf(12702,plain,
% 207.27/207.98 (E(f327(f327(f135(x127021),x127022),f114(x127021)),x127022)),
% 207.27/207.98 inference(rename_variables,[],[3424])).
% 207.27/207.98 cnf(12703,plain,
% 207.27/207.98 (~E(f327(f327(f152(x127031),x127032),x127033),x127033)),
% 207.27/207.98 inference(rename_variables,[],[4669])).
% 207.27/207.98 cnf(12706,plain,
% 207.27/207.98 (E(f327(f327(f135(x127061),x127062),f114(x127061)),x127062)),
% 207.27/207.98 inference(rename_variables,[],[3424])).
% 207.27/207.98 cnf(12713,plain,
% 207.27/207.98 (P49(x127131,f263(x127131,x127132))),
% 207.27/207.98 inference(rename_variables,[],[3366])).
% 207.27/207.98 cnf(12716,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x127161,a910)),f327(f173(x127161),f327(f137(x127161,x127162),x127163))),f327(f173(x127161),x127163)))),
% 207.27/207.98 inference(rename_variables,[],[4139])).
% 207.27/207.98 cnf(12717,plain,
% 207.27/207.98 (E(f327(f310(x127171,x127171,f5(x127171)),x127172),x127172)),
% 207.27/207.98 inference(rename_variables,[],[3549])).
% 207.27/207.98 cnf(12722,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x127221,a910)),x127222),f242(f922(x127221,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3874])).
% 207.27/207.98 cnf(12726,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x127261),x127261))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12727,plain,
% 207.27/207.98 (~E(f327(a113,x127271),x127271)),
% 207.27/207.98 inference(rename_variables,[],[4650])).
% 207.27/207.98 cnf(12730,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x127301,a910)),f190(f922(x127301,a910))),x127302))),
% 207.27/207.98 inference(rename_variables,[],[3941])).
% 207.27/207.98 cnf(12733,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x127331),x127331))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12736,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x127361,a910)),x127362),x127362))),
% 207.27/207.98 inference(rename_variables,[],[3788])).
% 207.27/207.98 cnf(12741,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x127411,a910)),x127412),f327(f327(f309(x127411),x127413),x127412)))),
% 207.27/207.98 inference(rename_variables,[],[3939])).
% 207.27/207.98 cnf(12744,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x127441,a910)),x127442),x127442))),
% 207.27/207.98 inference(rename_variables,[],[3788])).
% 207.27/207.98 cnf(12745,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x127451),x127452),f190(f922(x127451,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12748,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x127481),x127482),f190(f922(x127481,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12756,plain,
% 207.27/207.98 (~P1(f327(f327(f234(f922(f921(x127561,x127561),a910)),f327(f310(f921(x127561,x127561),f921(x127561,x127561),f5(f921(x127561,x127561))),f242(f922(f921(x127561,x127561),a910)))),f327(f310(f921(x127561,x127561),f921(x127561,x127561),f5(f921(x127561,x127561))),f190(f922(f921(x127561,x127561),a910)))))),
% 207.27/207.98 inference(scs_inference,[],[4622,3729,11370,12430,12536,12539,12631,12673,12677,12685,3738,3747,3463,4679,4680,3362,3365,3366,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,3548,3697,12184,3413,4660,10686,10786,11250,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,3424,12698,12702,3430,3439,3951,4259,3328,3691,4045,11706,3392,3324,3352,3809,3347,4166,3336,3337,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,4676,12670,3483,12032,4713,11276,11375,11615,11618,3596,4690,3387,3388,10586,10916,3650,3305,3409,11696,4273,12688,4130,11296,11431,11490,12642,12648,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,4667,11689,3792,4008,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3882,3682,4720,4266,11576,3814,3532,12053,12056,12507,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,3553,10913,10943,10952,10955,10958,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,11992,12676,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,12554,4369,11085,12563,12578,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656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% 207.27/207.98 cnf(12757,plain,
% 207.27/207.98 (P23(x127571,x127571,f5(x127571),x127572)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12760,plain,
% 207.27/207.98 (E(f327(f191(f916(x127601)),f170(x127601,x127602,x127603)),x127602)),
% 207.27/207.98 inference(rename_variables,[],[3559])).
% 207.27/207.98 cnf(12763,plain,
% 207.27/207.98 (P24(x127631,x127631,f31(x127631),x127632,x127632)),
% 207.27/207.98 inference(rename_variables,[],[4154])).
% 207.27/207.98 cnf(12766,plain,
% 207.27/207.98 (P23(x127661,x127661,f5(x127661),x127662)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12769,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x127691),x127691))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12770,plain,
% 207.27/207.98 (P1(f327(f242(f922(x127701,a910)),x127702))),
% 207.27/207.98 inference(rename_variables,[],[3553])).
% 207.27/207.98 cnf(12773,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x127731),x127732),f190(f922(x127731,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12776,plain,
% 207.27/207.98 (P1(f327(f327(f329(x127761),f327(x127762,x127763)),f327(f310(x127764,x127761,x127762),f242(f922(x127764,a910)))))),
% 207.27/207.98 inference(rename_variables,[],[4096])).
% 207.27/207.98 cnf(12777,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(x127771,x127771)),f327(f327(f252(x127771,x127771),x127772),x127772)),f307(x127771,x127773)))),
% 207.27/207.98 inference(rename_variables,[],[4130])).
% 207.27/207.98 cnf(12780,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(x127801,x127801)),f327(f327(f252(x127801,x127801),x127802),x127802)),f307(x127801,x127803)))),
% 207.27/207.98 inference(rename_variables,[],[4130])).
% 207.27/207.98 cnf(12783,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x127831),x127831))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(12784,plain,
% 207.27/207.98 (P1(f327(f242(f922(x127841,a910)),x127842))),
% 207.27/207.98 inference(rename_variables,[],[3553])).
% 207.27/207.98 cnf(12787,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x127871,a910)),x127872),f242(f922(x127871,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3874])).
% 207.27/207.98 cnf(12788,plain,
% 207.27/207.98 (P24(x127881,x127881,f31(x127881),x127882,x127882)),
% 207.27/207.98 inference(rename_variables,[],[4154])).
% 207.27/207.98 cnf(12791,plain,
% 207.27/207.98 (P1(f327(f35(x127911),f327(f173(x127911),x127912)))),
% 207.27/207.98 inference(rename_variables,[],[3532])).
% 207.27/207.98 cnf(12793,plain,
% 207.27/207.98 (E(f327(f327(f135(x127931),f676(x127932,x127933,f114(x127931),f327(f327(f152(x127931),x127933),x127932),x127931)),f114(x127931)),x127932)),
% 207.27/207.98 inference(scs_inference,[],[4622,4154,12763,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,3738,3747,3463,4679,4680,3362,3365,3366,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,3548,3697,12184,3413,4660,10686,10786,11250,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,3424,12698,12702,12706,3430,3439,3951,4259,3559,3328,3691,4045,11706,3392,3324,3352,3809,3347,4166,3336,3337,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,4676,12670,3483,12032,4713,11276,11375,11615,11618,3596,4690,3387,3388,10586,10916,3650,3305,3409,11696,4273,12688,4130,11296,11431,11490,12642,12648,12777,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,4667,11689,3792,4008,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3882,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,3553,10913,10943,10952,10955,10958,11545,12770,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,11992,12676,12684,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,12554,4369,11085,12563,12578,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598])).
% 207.27/207.98 cnf(12798,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(x127981,x127981)),f327(f327(f252(x127981,x127981),x127982),x127982)),f327(f327(f289(x127981,x127981,x127981),f307(x127981,x127983)),f307(x127981,f307(x127981,x127983)))))),
% 207.27/207.98 inference(scs_inference,[],[4622,4154,12763,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,3738,3747,3463,4679,4680,3362,3365,3366,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,3548,3697,12184,3413,4660,10686,10786,11250,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,3424,12698,12702,12706,3430,3439,3951,4259,3559,3328,3691,4045,11706,3392,3324,3352,3809,3347,4166,3336,3337,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,4676,12670,3483,12032,4713,11276,11375,11615,11618,3596,4690,3387,3388,10586,10916,3650,3305,3409,11696,4273,12688,4130,11296,11431,11490,12642,12648,12777,12780,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,4667,11689,3792,4008,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3882,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,3553,10913,10943,10952,10955,10958,11545,12770,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,11992,12676,12684,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,12554,4369,11085,12563,12578,4277,3972,3917,4726,10538,10541,10907,10910,11805,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8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% 207.27/207.98 cnf(12801,plain,
% 207.27/207.98 (~P1(f327(f327(f190(f922(x128011,f922(x128012,a910))),x128013),x128014))),
% 207.27/207.98 inference(rename_variables,[],[4729])).
% 207.27/207.98 cnf(12804,plain,
% 207.27/207.98 (~P1(f327(f327(f190(f922(x128041,f922(x128042,a910))),x128043),x128044))),
% 207.27/207.98 inference(rename_variables,[],[4729])).
% 207.27/207.98 cnf(12807,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x128071,a910)),x128072),f242(f922(x128071,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3874])).
% 207.27/207.98 cnf(12810,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(x128101,x128101)),f327(f327(f252(x128101,x128101),x128102),x128102)),f307(x128101,x128103)))),
% 207.27/207.98 inference(rename_variables,[],[4130])).
% 207.27/207.98 cnf(12813,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),f327(f327(f80(a915),x128131),x128132)),x128132))),
% 207.27/207.98 inference(rename_variables,[],[4726])).
% 207.27/207.98 cnf(12814,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x128141),f327(a113,x128141)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(12817,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x128171,a910)),x128172),f242(f922(x128171,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3874])).
% 207.27/207.98 cnf(12820,plain,
% 207.27/207.98 (E(f327(f284(x128201,x128201),f263(x128201,x128202)),x128202)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12830,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x128301),f327(f191(f916(x128302)),f114(x128302))))),
% 207.27/207.98 inference(scs_inference,[],[4622,4154,12763,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,3738,3747,3463,4679,4680,3362,3365,3366,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,3548,3697,12184,3413,4660,10686,10786,11250,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,3829,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,3424,12698,12702,12706,3430,3439,3951,4259,3559,3328,3691,4045,11706,3392,3324,3352,3809,3347,4166,3336,3337,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,4676,12670,3483,12032,4713,11276,11375,11615,11618,3596,4690,3387,3388,10586,10916,3650,3305,3409,11696,4273,12688,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,4667,11689,3792,4008,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3882,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,3553,10913,10943,10952,10955,10958,11545,12770,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,11992,12676,12684,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,12554,12598,12801,4369,11085,12563,12578,4277,3972,3917,4726,10538,10541,10907,10910,11805,11993,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720])).
% 207.27/207.98 cnf(12831,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x128311),x128312),f190(f922(x128311,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12832,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(f916(x128321),f916(x128321))),f327(f327(f252(f916(x128321),f916(x128321)),f114(x128321)),f114(x128321))),f159(x128321,x128322)))),
% 207.27/207.98 inference(rename_variables,[],[4273])).
% 207.27/207.98 cnf(12834,plain,
% 207.27/207.98 (P1(f327(f327(f329(f921(a915,a915)),f327(f327(f252(a915,a915),f2(a915)),f327(a113,f2(a915)))),f327(f327(f289(a915,a915,a915),f307(a915,a317)),f307(a915,f307(a915,a317)))))),
% 207.27/207.98 inference(scs_inference,[],[4622,4154,12763,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,3738,3747,3463,4679,4680,3362,3365,3366,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,3548,3697,12184,3413,4660,10686,10786,11250,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,3829,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,3424,12698,12702,12706,3430,3439,3951,4259,3559,3328,3691,4045,11706,3392,3324,3352,3809,3347,4166,3336,3337,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,4676,12670,3483,12032,4713,11276,11375,11615,11618,3596,4690,3387,3388,10586,10916,3650,3305,3409,11696,4273,12688,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,4667,11689,3792,4008,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3882,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,3553,10913,10943,10952,10955,10958,11545,12770,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,4725,10812,10815,4730,11285,11288,11478,11589,11606,4096,11649,11988,11992,12676,12684,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,12554,12598,12801,4369,11085,12563,12578,4277,3972,3917,4726,10538,10541,10907,10910,11805,11993,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,814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% 207.27/207.98 cnf(12837,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x128371),x128372),f190(f922(x128371,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12842,plain,
% 207.27/207.98 (P29(x128421,x128422,f114(x128421))),
% 207.27/207.98 inference(rename_variables,[],[3429])).
% 207.27/207.98 cnf(12845,plain,
% 207.27/207.98 (E(f327(f191(f916(x128451)),f170(x128451,x128452,x128453)),x128452)),
% 207.27/207.98 inference(rename_variables,[],[3559])).
% 207.27/207.98 cnf(12848,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x128481),x128482),f190(f922(x128481,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12853,plain,
% 207.27/207.98 (P1(f327(f327(f329(x128531),x128532),f242(f922(x128531,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3645])).
% 207.27/207.98 cnf(12855,plain,
% 207.27/207.98 (~P1(f327(f327(f329(f921(f916(x128551),f916(x128551))),f327(f327(f252(f916(x128551),f916(x128551)),x128552),x128552)),f148(x128551,f154(x128551,f114(f922(x128551,a915))))))),
% 207.27/207.98 inference(scs_inference,[],[4622,4154,12763,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,3738,3747,3463,3429,4679,4680,3362,3365,3366,4678,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,3548,3697,12184,3413,4660,10686,10786,11250,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,3288,4648,3829,4059,11950,3338,11660,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,3424,12698,12702,12706,3430,3439,3951,4259,3559,12760,3328,3691,4045,11706,3392,3324,3352,3809,3347,4166,3336,3337,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,4676,12670,3483,12032,4713,11276,11375,11615,11618,3596,4690,3387,3388,10586,10916,3650,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,4667,11689,3792,4008,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3882,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,3553,10913,10943,10952,10955,10958,11545,12770,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,12554,12598,12801,4369,11085,12563,12578,4277,3972,3917,4726,10538,10541,10907,10910,11805,11993,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107])).
% 207.27/207.98 cnf(12857,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x128571),x128571))),
% 207.27/207.98 inference(rename_variables,[],[4702])).
% 207.27/207.98 cnf(12860,plain,
% 207.27/207.98 (P1(f327(f327(f329(x128601),x128602),f242(f922(x128601,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3645])).
% 207.27/207.98 cnf(12868,plain,
% 207.27/207.98 (P1(f327(f327(f234(f922(x128681,a910)),x128682),x128682))),
% 207.27/207.98 inference(rename_variables,[],[3788])).
% 207.27/207.98 cnf(12871,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x128711),x128712),f190(f922(x128711,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(12874,plain,
% 207.27/207.98 (P1(f327(f327(f234(a1),f2(a1)),f327(f327(f244(a1),f327(f75(a1),x128741)),x128742)))),
% 207.27/207.98 inference(rename_variables,[],[3972])).
% 207.27/207.98 cnf(12877,plain,
% 207.27/207.98 (~E(f327(a113,x128771),x128771)),
% 207.27/207.98 inference(rename_variables,[],[4650])).
% 207.27/207.98 cnf(12879,plain,
% 207.27/207.98 (E(f327(f284(x128791,x128791),f263(x128791,x128792)),x128792)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12881,plain,
% 207.27/207.98 (E(f327(f284(x128811,x128811),f263(x128811,x128812)),x128812)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12885,plain,
% 207.27/207.98 (E(f327(f284(x128851,x128851),f263(x128851,x128852)),x128852)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12887,plain,
% 207.27/207.98 (P23(x128871,x128871,f5(x128871),x128872)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12889,plain,
% 207.27/207.98 (P23(x128891,x128891,f5(x128891),x128892)),
% 207.27/207.98 inference(rename_variables,[],[3729])).
% 207.27/207.98 cnf(12899,plain,
% 207.27/207.98 (E(f327(f284(x128991,x128991),f263(x128991,x128992)),x128992)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12901,plain,
% 207.27/207.98 (E(f327(f284(x129011,x129011),f263(x129011,x129012)),x129012)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12903,plain,
% 207.27/207.98 (P24(x129031,x129031,f31(x129031),x129032,x129032)),
% 207.27/207.98 inference(rename_variables,[],[4154])).
% 207.27/207.98 cnf(12905,plain,
% 207.27/207.98 (P24(x129051,x129051,f31(x129051),x129052,x129052)),
% 207.27/207.98 inference(rename_variables,[],[4154])).
% 207.27/207.98 cnf(12907,plain,
% 207.27/207.98 (P24(x129071,x129071,f31(x129071),x129072,x129072)),
% 207.27/207.98 inference(rename_variables,[],[4154])).
% 207.27/207.98 cnf(12914,plain,
% 207.27/207.98 (E(f190(f922(f921(x129141,x129141),a910)),f263(x129141,f190(f922(x129141,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3563])).
% 207.27/207.98 cnf(12932,plain,
% 207.27/207.98 (P52(x129321,x129321,f263(x129321,x129322))),
% 207.27/207.98 inference(rename_variables,[],[3463])).
% 207.27/207.98 cnf(12938,plain,
% 207.27/207.98 (E(f327(f284(x129381,x129381),f263(x129381,x129382)),x129382)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12940,plain,
% 207.27/207.98 (E(f327(f284(x129401,x129401),f263(x129401,x129402)),x129402)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12943,plain,
% 207.27/207.98 (E(f327(f284(x129431,x129431),f263(x129431,x129432)),x129432)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12945,plain,
% 207.27/207.98 (E(f327(f284(x129451,x129451),f263(x129451,x129452)),x129452)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12947,plain,
% 207.27/207.98 (~E(f327(f329(f921(f916(x129471),f916(x129471))),f327(f327(f252(f916(x129471),f916(x129471)),f114(x129471)),f114(x129471))),f327(f173(x129472),f114(x129472)))),
% 207.27/207.98 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,3738,3747,3463,12932,3429,12842,4679,4680,3362,3365,3366,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,3548,3697,12184,3413,4660,10686,10786,11250,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3256,3258,3262,3270,4647,3288,3361,4648,3829,4059,11950,3338,11660,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,3424,12698,12702,12706,3430,3439,3951,4259,3559,12760,12845,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4053,3872,4633,4166,3336,3337,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,4713,11276,11375,11615,11618,3891,3596,4690,3563,3387,3388,10586,10916,3650,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,4667,11689,3833,3792,4008,4736,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,4719,11808,11839,11876,11883,11916,3931,3698,3699,4078,3519,3521,3495,4703,4664,3882,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,3553,10913,10943,10952,10955,10958,11545,12770,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,4314,4709,3984,4020,4693,4697,3469,3473,4696,4694,4695,3804,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,12744,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,4728,11933,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,4277,3972,3917,4726,10538,10541,10907,10910,11805,11993,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7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% 207.27/207.98 cnf(12951,plain,
% 207.27/207.98 (P30(x129511,x129512,f114(x129511),f114(x129511))),
% 207.27/207.98 inference(rename_variables,[],[3738])).
% 207.27/207.98 cnf(12953,plain,
% 207.27/207.98 (P30(x129531,x129532,f114(x129531),f114(x129531))),
% 207.27/207.98 inference(rename_variables,[],[3738])).
% 207.27/207.98 cnf(12959,plain,
% 207.27/207.98 (P36(x129591,f263(x129591,x129592))),
% 207.27/207.98 inference(rename_variables,[],[3363])).
% 207.27/207.98 cnf(12965,plain,
% 207.27/207.98 (P49(x129651,f263(x129651,x129652))),
% 207.27/207.98 inference(rename_variables,[],[3366])).
% 207.27/207.98 cnf(12970,plain,
% 207.27/207.98 (P35(x129701,f154(x129701,x129702))),
% 207.27/207.98 inference(rename_variables,[],[3362])).
% 207.27/207.98 cnf(12974,plain,
% 207.27/207.98 (E(f327(f284(x129741,x129741),f263(x129741,x129742)),x129742)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(12976,plain,
% 207.27/207.98 (P12(x129761,f922(x129761,a910),f309(x129761))),
% 207.27/207.98 inference(rename_variables,[],[3466])).
% 207.27/207.98 cnf(12982,plain,
% 207.27/207.98 (E(f190(f922(f921(x129821,x129821),a910)),f263(x129821,f190(f922(x129821,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3563])).
% 207.27/207.98 cnf(12984,plain,
% 207.27/207.98 (E(f190(f922(f921(x129841,x129841),a910)),f263(x129841,f190(f922(x129841,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3563])).
% 207.27/207.98 cnf(12990,plain,
% 207.27/207.98 (P53(x129901,f190(f922(x129901,a910)),x129902)),
% 207.27/207.98 inference(rename_variables,[],[3511])).
% 207.27/207.98 cnf(12994,plain,
% 207.27/207.98 (P50(x129941,x129942,f263(x129941,x129942))),
% 207.27/207.98 inference(rename_variables,[],[3462])).
% 207.27/207.98 cnf(12996,plain,
% 207.27/207.98 (P50(x129961,x129962,f263(x129961,x129962))),
% 207.27/207.98 inference(rename_variables,[],[3462])).
% 207.27/207.98 cnf(12998,plain,
% 207.27/207.98 (P50(x129981,x129982,f263(x129981,x129982))),
% 207.27/207.98 inference(rename_variables,[],[3462])).
% 207.27/207.98 cnf(13004,plain,
% 207.27/207.98 (P40(x130041,x130042,x130043,x130044,f190(f922(x130041,a910)),x130044)),
% 207.27/207.98 inference(rename_variables,[],[4430])).
% 207.27/207.98 cnf(13024,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x130241),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(13033,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a1),f327(f101(a1),x130331)),f327(f79(a1),f327(f101(a1),x130332))))),
% 207.27/207.98 inference(rename_variables,[],[4724])).
% 207.27/207.98 cnf(13043,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x130431),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(13046,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x130461),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(13049,plain,
% 207.27/207.98 (P1(f327(f35(a915),f305(a915,x130491,x130492)))),
% 207.27/207.98 inference(rename_variables,[],[3699])).
% 207.27/207.98 cnf(13052,plain,
% 207.27/207.98 (P1(f327(f35(a915),f305(a915,x130521,x130522)))),
% 207.27/207.98 inference(rename_variables,[],[3699])).
% 207.27/207.98 cnf(13055,plain,
% 207.27/207.98 (P1(f327(f35(a915),f305(a915,x130551,x130552)))),
% 207.27/207.98 inference(rename_variables,[],[3699])).
% 207.27/207.98 cnf(13058,plain,
% 207.27/207.98 (P1(f327(f35(a915),f305(a915,x130581,x130582)))),
% 207.27/207.98 inference(rename_variables,[],[3699])).
% 207.27/207.98 cnf(13065,plain,
% 207.27/207.98 (P1(f327(f327(f234(a1),f327(f79(a1),f327(f101(a1),x130651))),f327(f101(a1),x130652)))),
% 207.27/207.98 inference(rename_variables,[],[3973])).
% 207.27/207.98 cnf(13067,plain,
% 207.27/207.98 (P1(f327(f327(f234(a1),f2(a1)),f327(f105(a1),f2(a1))))),
% 207.27/207.98 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3255,3256,3258,3262,3270,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,3424,12698,12702,12706,3430,3439,3951,4259,3559,12760,12845,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,4086,4713,11276,11375,11615,11618,3891,3596,3815,4690,3563,12914,12982,12984,3387,3388,10586,10916,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,4008,4736,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,4719,11808,11839,11876,11883,11916,3931,3698,3699,12229,13049,13052,13055,4078,3519,3521,3495,4703,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,3553,10913,10943,10952,10955,10958,11545,12770,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,12059,4314,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,3804,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,12744,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,4277,3972,3917,3918,4726,10538,10541,10907,10910,11805,11993,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520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% 207.27/207.98 cnf(13070,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x130701),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(13071,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x130711),x130711))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13078,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x130781),f327(a113,x130781)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(13085,plain,
% 207.27/207.98 (P1(f327(f327(f234(a1),x130851),x130851))),
% 207.27/207.98 inference(rename_variables,[],[3493])).
% 207.27/207.98 cnf(13088,plain,
% 207.27/207.98 (P1(f327(f35(a915),f305(a915,x130881,x130882)))),
% 207.27/207.98 inference(rename_variables,[],[3699])).
% 207.27/207.98 cnf(13091,plain,
% 207.27/207.98 (P1(f327(f35(a915),f305(a915,x130911,x130912)))),
% 207.27/207.98 inference(rename_variables,[],[3699])).
% 207.27/207.98 cnf(13094,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x130941),x130941))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13111,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),f46(a915,x131111,x131112)),x131111))),
% 207.27/207.98 inference(rename_variables,[],[3949])).
% 207.27/207.98 cnf(13116,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x131161),f327(a113,x131161)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(13119,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x131191),f327(a113,x131191)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(13120,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a915),x131201),f2(a915)))),
% 207.27/207.98 inference(rename_variables,[],[4706])).
% 207.27/207.98 cnf(13129,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a1),f327(f101(a1),x131291)),f2(a1)))),
% 207.27/207.98 inference(rename_variables,[],[4719])).
% 207.27/207.98 cnf(13130,plain,
% 207.27/207.98 (P1(f327(f242(f922(x131301,a910)),x131302))),
% 207.27/207.98 inference(rename_variables,[],[3553])).
% 207.27/207.98 cnf(13133,plain,
% 207.27/207.98 (~P1(f327(f327(f235(a1),f327(f101(a1),x131331)),f2(a1)))),
% 207.27/207.98 inference(rename_variables,[],[4719])).
% 207.27/207.98 cnf(13134,plain,
% 207.27/207.98 (P1(f327(f242(f922(x131341,a910)),x131342))),
% 207.27/207.98 inference(rename_variables,[],[3553])).
% 207.27/207.98 cnf(13137,plain,
% 207.27/207.98 (P1(f327(f242(f922(x131371,a910)),x131372))),
% 207.27/207.98 inference(rename_variables,[],[3553])).
% 207.27/207.98 cnf(13140,plain,
% 207.27/207.98 (P1(f327(f242(f922(x131401,a910)),x131402))),
% 207.27/207.98 inference(rename_variables,[],[3553])).
% 207.27/207.98 cnf(13148,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x131481),x131482),f190(f922(x131481,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(13149,plain,
% 207.27/207.98 (P1(f327(f35(x131491),f190(f922(x131491,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3568])).
% 207.27/207.98 cnf(13152,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x131521),x131521))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13154,plain,
% 207.27/207.98 (~P1(f327(f327(f234(a1),f327(f105(a1),a83)),f327(f105(a1),a98)))),
% 207.27/207.98 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3142,3148,3152,3155,3156,3160,3164,3167,3174,3179,3180,3188,3192,3196,3198,3199,3247,3248,3251,3255,3256,3258,3262,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,3424,12698,12702,12706,3430,3439,3951,4259,3559,12760,12845,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,4086,4713,11276,11375,11615,11618,3891,3596,3815,4690,3563,12914,12982,12984,3387,3388,10586,10916,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,3835,4008,4736,4055,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,4719,11808,11839,11876,11883,11916,13129,3931,3698,3699,12229,13049,13052,13055,13058,13088,4078,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,3494,12477,3568,12419,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,3592,3585,4012,3949,10565,11939,11967,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,3973,12059,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,3804,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,12744,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6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% 207.27/207.98 cnf(13161,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),f2(a915)),x131611))),
% 207.27/207.98 inference(rename_variables,[],[3513])).
% 207.27/207.98 cnf(13164,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x131641),x131642),f190(f922(x131641,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(13167,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x131671),x131672),f190(f922(x131671,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(13172,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x131721),x131721))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13180,plain,
% 207.27/207.98 (P1(f327(f327(f235(a915),x131801),f327(a113,x131801)))),
% 207.27/207.98 inference(rename_variables,[],[3560])).
% 207.27/207.98 cnf(13183,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x131831),x131831))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13188,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x131881),x131881))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13191,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x131911),x131911))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13194,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x131941),x131941))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13197,plain,
% 207.27/207.98 (E(f327(f327(f23(f922(x131971,a910)),f190(f922(x131971,a910))),x131972),f190(f922(x131971,a910)))),
% 207.27/207.98 inference(rename_variables,[],[3758])).
% 207.27/207.98 cnf(13198,plain,
% 207.27/207.98 (P1(f327(f35(x131981),f190(f922(x131981,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3568])).
% 207.27/207.98 cnf(13201,plain,
% 207.27/207.98 (E(f327(f327(f23(f922(x132011,a910)),f190(f922(x132011,a910))),x132012),f190(f922(x132011,a910)))),
% 207.27/207.98 inference(rename_variables,[],[3758])).
% 207.27/207.98 cnf(13202,plain,
% 207.27/207.98 (P1(f327(f35(x132021),f190(f922(x132021,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3568])).
% 207.27/207.98 cnf(13205,plain,
% 207.27/207.98 (E(f327(f327(f23(f922(x132051,a910)),f190(f922(x132051,a910))),x132052),f190(f922(x132051,a910)))),
% 207.27/207.98 inference(rename_variables,[],[3758])).
% 207.27/207.98 cnf(13206,plain,
% 207.27/207.98 (P1(f327(f35(x132061),f190(f922(x132061,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3568])).
% 207.27/207.98 cnf(13209,plain,
% 207.27/207.98 (E(f327(f327(f23(f922(x132091,a910)),f190(f922(x132091,a910))),x132092),f190(f922(x132091,a910)))),
% 207.27/207.98 inference(rename_variables,[],[3758])).
% 207.27/207.98 cnf(13210,plain,
% 207.27/207.98 (P1(f327(f35(x132101),f190(f922(x132101,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3568])).
% 207.27/207.98 cnf(13214,plain,
% 207.27/207.98 (E(f327(f284(x132141,x132141),f263(x132141,x132142)),x132142)),
% 207.27/207.98 inference(rename_variables,[],[3453])).
% 207.27/207.98 cnf(13219,plain,
% 207.27/207.98 (E(f327(f327(f23(f922(x132191,a910)),f190(f922(x132191,a910))),x132192),f190(f922(x132191,a910)))),
% 207.27/207.98 inference(rename_variables,[],[3758])).
% 207.27/207.98 cnf(13220,plain,
% 207.27/207.98 (P1(f327(f35(x132201),f190(f922(x132201,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3568])).
% 207.27/207.98 cnf(13224,plain,
% 207.27/207.98 (P1(f327(f35(x132241),f190(f922(x132241,a910))))),
% 207.27/207.98 inference(rename_variables,[],[3568])).
% 207.27/207.98 cnf(13227,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x132271),x132271))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13231,plain,
% 207.27/207.98 (P1(f327(f327(f234(a1),x132311),x132311))),
% 207.27/207.98 inference(rename_variables,[],[3493])).
% 207.27/207.98 cnf(13238,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x132381),x132381))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13251,plain,
% 207.27/207.98 (P1(f327(f327(f234(a915),x132511),x132511))),
% 207.27/207.98 inference(rename_variables,[],[3492])).
% 207.27/207.98 cnf(13254,plain,
% 207.27/207.98 (P1(f327(f327(f234(a1),x132541),x132541))),
% 207.27/207.98 inference(rename_variables,[],[3493])).
% 207.27/207.98 cnf(13263,plain,
% 207.27/207.98 (~P1(f327(f327(f329(x132631),x132632),f190(f922(x132631,a910))))),
% 207.27/207.98 inference(rename_variables,[],[4715])).
% 207.27/207.98 cnf(13265,plain,
% 207.27/207.98 (~P1(f327(f327(f234(a915),f327(f327(f80(a915),f327(a113,x132651)),x132652)),x132652))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3219,3221,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,3424,12698,12702,12706,3430,3439,3951,4259,3559,12760,12845,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,4086,4713,11276,11375,11615,11618,3891,3596,3815,4690,3563,12914,12982,12984,3387,3388,10586,10916,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,4078,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,3592,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,12551,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,3804,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,12744,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013])).
% 207.27/207.99 cnf(13274,plain,
% 207.27/207.99 (P1(f327(f327(f329(x132741),x132742),f242(f922(x132741,a910))))),
% 207.27/207.99 inference(rename_variables,[],[3645])).
% 207.27/207.99 cnf(13275,plain,
% 207.27/207.99 (E(f327(f194(x132751,x132752),x132753),f122(x132751,x132752))),
% 207.27/207.99 inference(rename_variables,[],[3407])).
% 207.27/207.99 cnf(13277,plain,
% 207.27/207.99 (~P23(x132771,x132772,f194(x132773,x132774),f327(f310(x132775,x132771,f327(f152(x132776),x132777)),f242(f922(x132775,a910))))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3219,3221,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,4086,4713,11276,11375,11615,11618,3891,3596,3815,4690,3563,12914,12982,12984,3387,3388,10586,10916,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,4078,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,3592,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,12551,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,3804,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,12744,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064])).
% 207.27/207.99 cnf(13278,plain,
% 207.27/207.99 (P1(f327(f327(f329(x132781),f327(x132782,x132783)),f327(f310(x132784,x132781,x132782),f242(f922(x132784,a910)))))),
% 207.27/207.99 inference(rename_variables,[],[4096])).
% 207.27/207.99 cnf(13282,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x132821,a910)),x132822),f242(f922(x132821,a910))))),
% 207.27/207.99 inference(rename_variables,[],[3874])).
% 207.27/207.99 cnf(13285,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x132851,a910)),x132852),x132852))),
% 207.27/207.99 inference(rename_variables,[],[3788])).
% 207.27/207.99 cnf(13291,plain,
% 207.27/207.99 (~P1(f327(f327(f235(a915),x132911),f2(a915)))),
% 207.27/207.99 inference(rename_variables,[],[4706])).
% 207.27/207.99 cnf(13292,plain,
% 207.27/207.99 (P1(f327(f327(f234(a1),x132921),x132921))),
% 207.27/207.99 inference(rename_variables,[],[3493])).
% 207.27/207.99 cnf(13296,plain,
% 207.27/207.99 (~P1(f327(f327(f235(a915),x132961),f2(a915)))),
% 207.27/207.99 inference(rename_variables,[],[4706])).
% 207.27/207.99 cnf(13297,plain,
% 207.27/207.99 (P1(f327(f327(f234(a1),x132971),x132971))),
% 207.27/207.99 inference(rename_variables,[],[3493])).
% 207.27/207.99 cnf(13299,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(a1,a910)),f303(a1,f78(a1),f2(a1))),f303(a1,f2(a1),f78(a1))))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3219,3221,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,4086,4713,11276,11375,11615,11618,3891,3596,3815,4690,3563,12914,12982,12984,3387,3388,10586,10916,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,4078,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,3592,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,3513,10946,11102,11172,11968,12117,12314,12526,12551,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,3804,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336])).
% 207.27/207.99 cnf(13302,plain,
% 207.27/207.99 (P1(f327(f327(f234(a915),x133021),x133021))),
% 207.27/207.99 inference(rename_variables,[],[3492])).
% 207.27/207.99 cnf(13309,plain,
% 207.27/207.99 (E(f327(f327(f16(x133091,x133092),x133093),x133094),x133093)),
% 207.27/207.99 inference(rename_variables,[],[3483])).
% 207.27/207.99 cnf(13312,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x133121,a910)),f327(f173(x133121),f177(x133121,x133122,x133123))),f327(f173(x133121),x133122)))),
% 207.27/207.99 inference(rename_variables,[],[4189])).
% 207.27/207.99 cnf(13319,plain,
% 207.27/207.99 (~P1(f327(f327(f235(a915),x133191),f2(a915)))),
% 207.27/207.99 inference(rename_variables,[],[4706])).
% 207.27/207.99 cnf(13320,plain,
% 207.27/207.99 (P1(f327(f327(f234(a1),x133201),x133201))),
% 207.27/207.99 inference(rename_variables,[],[3493])).
% 207.27/207.99 cnf(13324,plain,
% 207.27/207.99 (~P1(f327(f327(f235(a915),x133241),f2(a915)))),
% 207.27/207.99 inference(rename_variables,[],[4706])).
% 207.27/207.99 cnf(13325,plain,
% 207.27/207.99 (P1(f327(f327(f234(a1),x133251),x133251))),
% 207.27/207.99 inference(rename_variables,[],[3493])).
% 207.27/207.99 cnf(13330,plain,
% 207.27/207.99 (P1(f327(f327(f234(a915),x133301),x133301))),
% 207.27/207.99 inference(rename_variables,[],[3492])).
% 207.27/207.99 cnf(13333,plain,
% 207.27/207.99 (P1(f327(f327(f234(a915),x133331),x133331))),
% 207.27/207.99 inference(rename_variables,[],[3492])).
% 207.27/207.99 cnf(13336,plain,
% 207.27/207.99 (~P1(f327(f327(f234(a915),f327(a113,x133361)),x133361))),
% 207.27/207.99 inference(rename_variables,[],[4712])).
% 207.27/207.99 cnf(13341,plain,
% 207.27/207.99 (E(x133411,f878(f327(f5(x133412),f327(f5(x133412),x133411)),f5(x133412),x133412,x133412))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3219,3221,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,4086,4713,11276,11375,11615,11618,3891,3596,3815,4690,3563,12914,12982,12984,3387,3388,10586,10916,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,4078,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,4723,11045,11455,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,3804,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840])).
% 207.27/207.99 cnf(13342,plain,
% 207.27/207.99 (P1(f327(f327(f329(x133421),f327(x133422,x133423)),f327(f310(x133424,x133421,x133422),f242(f922(x133424,a910)))))),
% 207.27/207.99 inference(rename_variables,[],[4096])).
% 207.27/207.99 cnf(13343,plain,
% 207.27/207.99 (P23(x133431,x133431,f5(x133431),x133432)),
% 207.27/207.99 inference(rename_variables,[],[3729])).
% 207.27/207.99 cnf(13348,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x133481,a910)),x133482),f242(f922(x133481,a910))))),
% 207.27/207.99 inference(rename_variables,[],[3874])).
% 207.27/207.99 cnf(13349,plain,
% 207.27/207.99 (P23(x133491,x133491,f5(x133491),x133492)),
% 207.27/207.99 inference(rename_variables,[],[3729])).
% 207.27/207.99 cnf(13353,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x133531,a910)),x133532),f242(f922(x133531,a910))))),
% 207.27/207.99 inference(rename_variables,[],[3874])).
% 207.27/207.99 cnf(13354,plain,
% 207.27/207.99 (P23(x133541,x133541,f5(x133541),x133542)),
% 207.27/207.99 inference(rename_variables,[],[3729])).
% 207.27/207.99 cnf(13358,plain,
% 207.27/207.99 (P23(x133581,x133581,f5(x133581),x133582)),
% 207.27/207.99 inference(rename_variables,[],[3729])).
% 207.27/207.99 cnf(13360,plain,
% 207.27/207.99 (~P1(f327(f327(f235(f922(a915,a910)),f327(f310(a1,a915,a106),f190(f922(a1,a910)))),f327(f310(a1,a915,a106),f190(f922(a1,a910)))))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,13343,13349,13354,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3219,3221,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,4086,4713,11276,11375,11615,11618,3891,3596,3815,4690,3563,12914,12982,12984,3387,3388,10586,10916,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,4078,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,13282,13348,4723,11045,11455,12570,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,3804,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,4271,3941,10949,11318,11487,11521,11532,12680,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,12601,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840,9100,9101,9172,9186])).
% 207.27/207.99 cnf(13361,plain,
% 207.27/207.99 (~P1(f327(f327(f235(f922(x133611,a910)),x133612),f190(f922(x133611,a910))))),
% 207.27/207.99 inference(rename_variables,[],[4723])).
% 207.27/207.99 cnf(13364,plain,
% 207.27/207.99 (P23(x133641,x133641,f5(x133641),x133642)),
% 207.27/207.99 inference(rename_variables,[],[3729])).
% 207.27/207.99 cnf(13367,plain,
% 207.27/207.99 (P23(x133671,x133671,f5(x133671),x133672)),
% 207.27/207.99 inference(rename_variables,[],[3729])).
% 207.27/207.99 cnf(13373,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x133731,a910)),x133732),f242(f922(x133731,a910))))),
% 207.27/207.99 inference(rename_variables,[],[3874])).
% 207.27/207.99 cnf(13378,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x133781,a910)),f190(f922(x133781,a910))),x133782))),
% 207.27/207.99 inference(rename_variables,[],[3941])).
% 207.27/207.99 cnf(13380,plain,
% 207.27/207.99 (~E(f114(f916(x133801)),f327(f327(f135(f916(x133801)),x133802),f327(f327(f152(f916(x133801)),f114(x133801)),x133803)))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,13343,13349,13354,13358,13364,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3219,3221,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,13214,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,4086,4713,11276,11375,11615,11618,3891,3596,3815,4690,3563,12914,12982,12984,3387,3388,10586,10916,4700,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,11501,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,4078,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,13282,13348,13353,4723,11045,11455,12570,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,3804,11932,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,3939,11215,11221,11239,12236,12366,12451,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,4271,3941,10949,11318,11487,11521,11532,12680,12730,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,12601,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840,9100,9101,9172,9186,9239,9240,9359,9393,9419,9451])).
% 207.27/207.99 cnf(13382,plain,
% 207.27/207.99 (E(f327(f284(x133821,x133821),f263(x133821,x133822)),x133822)),
% 207.27/207.99 inference(rename_variables,[],[3453])).
% 207.27/207.99 cnf(13386,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x133861),x133862),f190(f922(x133861,a910))))),
% 207.27/207.99 inference(rename_variables,[],[4715])).
% 207.27/207.99 cnf(13391,plain,
% 207.27/207.99 (P23(x133911,x133911,f5(x133911),x133912)),
% 207.27/207.99 inference(rename_variables,[],[3729])).
% 207.27/207.99 cnf(13394,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x133941,a910)),x133942),f242(f922(x133941,a910))))),
% 207.27/207.99 inference(rename_variables,[],[3874])).
% 207.27/207.99 cnf(13402,plain,
% 207.27/207.99 (E(f327(f327(f16(x134021,x134022),x134023),x134024),x134023)),
% 207.27/207.99 inference(rename_variables,[],[3483])).
% 207.27/207.99 cnf(13405,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x134051),x134052),f190(f922(x134051,a910))))),
% 207.27/207.99 inference(rename_variables,[],[4715])).
% 207.27/207.99 cnf(13408,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x134081),x134082),f190(f922(x134081,a910))))),
% 207.27/207.99 inference(rename_variables,[],[4715])).
% 207.27/207.99 cnf(13413,plain,
% 207.27/207.99 (~E(f327(a113,x134131),x134131)),
% 207.27/207.99 inference(rename_variables,[],[4650])).
% 207.27/207.99 cnf(13416,plain,
% 207.27/207.99 (P1(f327(f327(f235(a915),x134161),f327(a113,x134161)))),
% 207.27/207.99 inference(rename_variables,[],[3560])).
% 207.27/207.99 cnf(13417,plain,
% 207.27/207.99 (~E(f327(a113,x134171),x134171)),
% 207.27/207.99 inference(rename_variables,[],[4650])).
% 207.27/207.99 cnf(13420,plain,
% 207.27/207.99 (P1(f327(f327(f235(a915),x134201),f327(a113,f327(f327(f80(a915),x134202),x134201))))),
% 207.27/207.99 inference(rename_variables,[],[3942])).
% 207.27/207.99 cnf(13421,plain,
% 207.27/207.99 (P1(f327(f327(f235(a915),x134211),f327(a113,x134211)))),
% 207.27/207.99 inference(rename_variables,[],[3560])).
% 207.27/207.99 cnf(13430,plain,
% 207.27/207.99 (P1(f327(f327(f234(a1),f2(a1)),f327(f101(a1),x134301)))),
% 207.27/207.99 inference(rename_variables,[],[3592])).
% 207.27/207.99 cnf(13433,plain,
% 207.27/207.99 (P1(f327(f327(f234(a915),f2(a915)),x134331))),
% 207.27/207.99 inference(rename_variables,[],[3513])).
% 207.27/207.99 cnf(13437,plain,
% 207.27/207.99 (~E(f327(a113,x134371),f2(a915))),
% 207.27/207.99 inference(rename_variables,[],[4660])).
% 207.27/207.99 cnf(13439,plain,
% 207.27/207.99 (P1(f327(f327(f287(a915),f327(f327(f9(x134391,a915),x134392),f327(f173(x134391),f177(x134391,x134393,x134394)))),f327(f327(f9(x134391,a915),x134392),f327(f173(x134391),x134393))))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,12907,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,13343,13349,13354,13358,13364,13367,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,12877,13413,13417,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,11350,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3209,3219,3221,3222,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,13214,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,13309,4086,4713,11276,11375,11615,11618,3458,3891,3478,3596,3815,4690,3563,12914,12982,12984,3387,3388,10586,10916,4700,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,11501,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,13416,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,4078,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,4189,11299,12427,12506,12566,12610,13312,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,13282,13348,13353,13373,4723,11045,11455,12570,13361,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,13274,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,13263,13386,13405,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,13161,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,3804,11932,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,13342,3939,11215,11221,11239,12236,12366,12451,12741,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,4271,3941,10949,11318,11487,11521,11532,12680,12730,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,12601,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,11134,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840,9100,9101,9172,9186,9239,9240,9359,9393,9419,9451,9492,9688,9812,9955,10143,10200,10202,6054,6602,6603,6692,6712,6713,7132,7353,8682])).
% 207.27/207.99 cnf(13440,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x134401,a910)),f327(f173(x134401),f177(x134401,x134402,x134403))),f327(f173(x134401),x134402)))),
% 207.27/207.99 inference(rename_variables,[],[4189])).
% 207.27/207.99 cnf(13445,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x134451),x134452),f190(f922(x134451,a910))))),
% 207.27/207.99 inference(rename_variables,[],[4715])).
% 207.27/207.99 cnf(13448,plain,
% 207.27/207.99 (P1(f327(f35(a915),f305(a915,x134481,x134482)))),
% 207.27/207.99 inference(rename_variables,[],[3699])).
% 207.27/207.99 cnf(13449,plain,
% 207.27/207.99 (E(f327(f327(f189(a915),f327(a113,x134491)),f327(a113,x134492)),f327(a113,f327(f327(f189(a915),x134491),x134492)))),
% 207.27/207.99 inference(rename_variables,[],[3664])).
% 207.27/207.99 cnf(13452,plain,
% 207.27/207.99 (P1(f327(f35(a915),f305(a915,x134521,x134522)))),
% 207.27/207.99 inference(rename_variables,[],[3699])).
% 207.27/207.99 cnf(13453,plain,
% 207.27/207.99 (E(f327(f327(f238(a915),f327(a113,x134531)),f327(a113,x134532)),f327(a113,f327(f327(f238(a915),x134531),x134532)))),
% 207.27/207.99 inference(rename_variables,[],[3663])).
% 207.27/207.99 cnf(13456,plain,
% 207.27/207.99 (P1(f327(f35(a915),f305(a915,x134561,x134562)))),
% 207.27/207.99 inference(rename_variables,[],[3699])).
% 207.27/207.99 cnf(13465,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x134651),x134652),f190(f922(x134651,a910))))),
% 207.27/207.99 inference(rename_variables,[],[4715])).
% 207.27/207.99 cnf(13466,plain,
% 207.27/207.99 (E(f327(f327(f16(x134661,x134662),x134663),x134664),x134663)),
% 207.27/207.99 inference(rename_variables,[],[3483])).
% 207.27/207.99 cnf(13469,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x134691,a910)),f327(f173(x134691),f327(f137(x134691,x134692),x134693))),f327(f173(x134691),x134693)))),
% 207.27/207.99 inference(rename_variables,[],[4139])).
% 207.27/207.99 cnf(13470,plain,
% 207.27/207.99 (E(f327(f327(f16(x134701,x134702),x134703),x134704),x134703)),
% 207.27/207.99 inference(rename_variables,[],[3483])).
% 207.27/207.99 cnf(13473,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x134731,a910)),f327(f173(x134731),f327(f327(f176(x134731),x134732),x134733))),f327(f173(x134731),x134733)))),
% 207.27/207.99 inference(rename_variables,[],[4184])).
% 207.27/207.99 cnf(13474,plain,
% 207.27/207.99 (E(f327(f327(f16(x134741,x134742),x134743),x134744),x134743)),
% 207.27/207.99 inference(rename_variables,[],[3483])).
% 207.27/207.99 cnf(13478,plain,
% 207.27/207.99 (E(f327(f327(f16(x134781,x134782),x134783),x134784),x134783)),
% 207.27/207.99 inference(rename_variables,[],[3483])).
% 207.27/207.99 cnf(13491,plain,
% 207.27/207.99 (P1(f327(f327(f234(a1),f2(a1)),f327(f101(a1),x134911)))),
% 207.27/207.99 inference(rename_variables,[],[3592])).
% 207.27/207.99 cnf(13496,plain,
% 207.27/207.99 (P23(x134961,x134961,f5(x134961),x134962)),
% 207.27/207.99 inference(rename_variables,[],[3729])).
% 207.27/207.99 cnf(13499,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x134991),x134992),f190(f922(x134991,a910))))),
% 207.27/207.99 inference(rename_variables,[],[4715])).
% 207.27/207.99 cnf(13500,plain,
% 207.27/207.99 (E(f327(f284(x135001,x135001),f263(x135001,x135002)),x135002)),
% 207.27/207.99 inference(rename_variables,[],[3453])).
% 207.27/207.99 cnf(13501,plain,
% 207.27/207.99 (P23(x135011,x135011,f5(x135011),x135012)),
% 207.27/207.99 inference(rename_variables,[],[3729])).
% 207.27/207.99 cnf(13505,plain,
% 207.27/207.99 (E(f327(f284(x135051,x135051),f263(x135051,x135052)),x135052)),
% 207.27/207.99 inference(rename_variables,[],[3453])).
% 207.27/207.99 cnf(13510,plain,
% 207.27/207.99 (P1(f327(f327(f235(f922(a1,a910)),f303(a1,f78(a1),f2(a1))),f303(a1,f2(a1),f78(a1))))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,12907,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,13343,13349,13354,13358,13364,13367,13391,13496,13501,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,12877,13413,13417,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,11350,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3125,3126,3135,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3209,3219,3221,3222,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,13214,13382,13500,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,13309,13402,13466,13470,13474,13478,4086,4713,11276,11375,11615,11618,3458,3891,3478,3596,3815,3588,4690,3563,12914,12982,12984,3387,3388,10586,10916,4700,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,11501,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,13416,3944,11936,3476,3572,11765,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,13091,13448,13452,13456,4078,3663,13453,3664,13449,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,12716,13469,4184,13473,4189,11299,12427,12506,12566,12610,13312,13440,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,13282,13348,13353,13373,13394,4723,11045,11455,12570,13361,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,13274,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,13263,13386,13405,13408,13445,13465,13499,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,13430,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,13161,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,4481,3804,11932,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,13342,3939,11215,11221,11239,12236,12366,12451,12741,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,13285,4271,3941,10949,11318,11487,11521,11532,12680,12730,13378,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,12601,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,11134,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840,9100,9101,9172,9186,9239,9240,9359,9393,9419,9451,9492,9688,9812,9955,10143,10200,10202,6054,6602,6603,6692,6712,6713,7132,7353,8682,8761,9008,9195,9196,9266,9267,9446,9540,9541,9542,9543,9752,10019,10033,10405,10406,6674,8593])).
% 207.27/207.99 cnf(13519,plain,
% 207.27/207.99 (P1(f327(f327(f234(a915),f2(a915)),x135191))),
% 207.27/207.99 inference(rename_variables,[],[3513])).
% 207.27/207.99 cnf(13520,plain,
% 207.27/207.99 (P1(f327(f327(f235(a915),f2(a915)),f327(a113,x135201)))),
% 207.27/207.99 inference(rename_variables,[],[3572])).
% 207.27/207.99 cnf(13521,plain,
% 207.27/207.99 (E(f327(f284(x135211,x135211),f263(x135211,x135212)),x135212)),
% 207.27/207.99 inference(rename_variables,[],[3453])).
% 207.27/207.99 cnf(13546,plain,
% 207.27/207.99 (~E(f327(f327(f152(x135461),x135462),x135463),f327(f169(x135461),f114(x135461)))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,12907,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,13343,13349,13354,13358,13364,13367,13391,13496,13501,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,12877,13413,13417,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,11350,13437,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3123,3125,3126,3135,3139,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3209,3219,3221,3222,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,13214,13382,13500,13505,13521,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,13309,13402,13466,13470,13474,13478,4086,4713,11276,11375,11615,11618,3458,3891,3478,3596,3815,3588,4690,3563,12914,12982,12984,3387,3388,10586,10916,4700,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,11501,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3673,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,13416,13421,3944,11936,3476,3572,11765,12047,13520,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,13324,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,13091,13448,13452,13456,4078,3663,13453,3664,13449,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,12716,13469,4184,13473,4189,11299,12427,12506,12566,12610,13312,13440,4190,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,13282,13348,13353,13373,13394,4723,11045,11455,12570,13361,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,13325,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,13274,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,13263,13386,13405,13408,13445,13465,13499,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,13430,13491,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,13161,13433,13519,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,4481,3804,11932,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,13342,3939,11215,11221,11239,12236,12366,12451,12741,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,13285,4271,3941,10949,11318,11487,11521,11532,12680,12730,13378,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,12601,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,11134,13420,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840,9100,9101,9172,9186,9239,9240,9359,9393,9419,9451,9492,9688,9812,9955,10143,10200,10202,6054,6602,6603,6692,6712,6713,7132,7353,8682,8761,9008,9195,9196,9266,9267,9446,9540,9541,9542,9543,9752,10019,10033,10405,10406,6674,8593,8594,9064,9082,10020,10404,4790,4822,4823,4826,4872])).
% 207.27/207.99 cnf(13600,plain,
% 207.27/207.99 (~P1(f327(f327(f235(a1),f2(a1)),f2(a1)))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,12907,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,13343,13349,13354,13358,13364,13367,13391,13496,13501,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,12877,13413,13417,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,11350,13437,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3123,3125,3126,3135,3139,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3209,3219,3221,3222,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,13214,13382,13500,13505,13521,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,13309,13402,13466,13470,13474,13478,4086,4713,11276,11375,11615,11618,3458,3891,3478,3596,3815,3588,4690,3563,12914,12982,12984,3387,3388,10586,10916,4700,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,11501,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3673,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,13416,13421,3944,11936,3476,3572,11765,12047,13520,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,13324,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,13091,13448,13452,13456,4078,3663,13453,3664,13449,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,12716,13469,4184,13473,4189,11299,12427,12506,12566,12610,13312,13440,4190,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,13282,13348,13353,13373,13394,4723,11045,11455,12570,13361,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,13325,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,13274,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,13263,13386,13405,13408,13445,13465,13499,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,13430,13491,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,13161,13433,13519,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,4481,3804,11932,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,13342,3939,11215,11221,11239,12236,12366,12451,12741,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,13285,4271,3941,10949,11318,11487,11521,11532,12680,12730,13378,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,12601,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,11134,13420,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840,9100,9101,9172,9186,9239,9240,9359,9393,9419,9451,9492,9688,9812,9955,10143,10200,10202,6054,6602,6603,6692,6712,6713,7132,7353,8682,8761,9008,9195,9196,9266,9267,9446,9540,9541,9542,9543,9752,10019,10033,10405,10406,6674,8593,8594,9064,9082,10020,10404,4790,4822,4823,4826,4872,4876,4881,4922,5019,5036,5066,5067,5098,5156,5159,5219,5350,5388,5389,5391,5398,5399,5423,5467,5498,5520,5655,5729,5730,5731,5792,5849])).
% 207.27/207.99 cnf(13602,plain,
% 207.27/207.99 (P1(f327(f327(f235(a1),f2(a1)),f327(f75(a1),f78(a1))))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,12907,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,13343,13349,13354,13358,13364,13367,13391,13496,13501,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,12877,13413,13417,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,11350,13437,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3123,3125,3126,3135,3139,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3209,3219,3221,3222,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,13214,13382,13500,13505,13521,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,13309,13402,13466,13470,13474,13478,4086,4713,11276,11375,11615,11618,3458,3891,3478,3596,3815,3588,4690,3563,12914,12982,12984,3387,3388,10586,10916,4700,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,11501,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3673,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,13416,13421,3944,11936,3476,3572,11765,12047,13520,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,13324,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,13091,13448,13452,13456,4078,3663,13453,3664,13449,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,12716,13469,4184,13473,4189,11299,12427,12506,12566,12610,13312,13440,4190,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,13282,13348,13353,13373,13394,4723,11045,11455,12570,13361,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,13325,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,13274,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,13263,13386,13405,13408,13445,13465,13499,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,13430,13491,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,13161,13433,13519,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,4481,3804,11932,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,13342,3939,11215,11221,11239,12236,12366,12451,12741,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,13285,4271,3941,10949,11318,11487,11521,11532,12680,12730,13378,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,12601,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,11134,13420,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840,9100,9101,9172,9186,9239,9240,9359,9393,9419,9451,9492,9688,9812,9955,10143,10200,10202,6054,6602,6603,6692,6712,6713,7132,7353,8682,8761,9008,9195,9196,9266,9267,9446,9540,9541,9542,9543,9752,10019,10033,10405,10406,6674,8593,8594,9064,9082,10020,10404,4790,4822,4823,4826,4872,4876,4881,4922,5019,5036,5066,5067,5098,5156,5159,5219,5350,5388,5389,5391,5398,5399,5423,5467,5498,5520,5655,5729,5730,5731,5792,5849,5850])).
% 207.27/207.99 cnf(13626,plain,
% 207.27/207.99 (~P1(f327(f35(x136261),f38(f922(x136261,a910),f242(f922(f922(x136261,a910),a910)))))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,12907,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,13343,13349,13354,13358,13364,13367,13391,13496,13501,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,12877,13413,13417,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,11350,13437,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3123,3125,3126,3135,3139,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3209,3219,3221,3222,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,13214,13382,13500,13505,13521,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,13309,13402,13466,13470,13474,13478,4086,4713,11276,11375,11615,11618,3458,3891,3478,3596,3815,3588,4690,3563,12914,12982,12984,3387,3388,10586,10916,4700,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,11501,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3673,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,13416,13421,3944,11936,3476,3572,11765,12047,13520,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,13324,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,13091,13448,13452,13456,4078,3663,13453,3664,13449,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,12716,13469,4184,13473,4189,11299,12427,12506,12566,12610,13312,13440,4190,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,13282,13348,13353,13373,13394,4723,11045,11455,12570,13361,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,13325,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,13274,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,13263,13386,13405,13408,13445,13465,13499,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,13430,13491,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,13161,13433,13519,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,4481,3804,11932,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,13342,3939,11215,11221,11239,12236,12366,12451,12741,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,13285,4271,3941,10949,11318,11487,11521,11532,12680,12730,13378,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,12601,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,11134,13420,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840,9100,9101,9172,9186,9239,9240,9359,9393,9419,9451,9492,9688,9812,9955,10143,10200,10202,6054,6602,6603,6692,6712,6713,7132,7353,8682,8761,9008,9195,9196,9266,9267,9446,9540,9541,9542,9543,9752,10019,10033,10405,10406,6674,8593,8594,9064,9082,10020,10404,4790,4822,4823,4826,4872,4876,4881,4922,5019,5036,5066,5067,5098,5156,5159,5219,5350,5388,5389,5391,5398,5399,5423,5467,5498,5520,5655,5729,5730,5731,5792,5849,5850,5876,5880,5939,5941,5950,5956,6035,6120,6226,6273,6330,6441])).
% 207.27/207.99 cnf(13656,plain,
% 207.27/207.99 (~P1(f327(f327(f234(f922(a1,a910)),f327(f310(a915,a1,f101(a1)),f303(a915,f2(a915),f2(a915)))),f327(f310(a915,a1,f101(a1)),f303(a915,f327(a113,f2(a915)),x136561))))),
% 207.27/207.99 inference(scs_inference,[],[4622,4154,12763,12788,12903,12905,12907,3729,11370,12430,12536,12539,12631,12673,12677,12685,12757,12766,12887,12889,13343,13349,13354,13358,13364,13367,13391,13496,13501,3738,12503,12951,12953,3747,3462,12994,12996,12998,3463,12932,3429,12842,4679,4680,12012,4430,13004,3466,12976,3304,3362,12970,3363,12959,3364,3365,3366,12713,12965,4678,3790,4650,10453,10463,10476,10487,10490,10594,10597,10600,10702,10837,11147,11340,11343,11362,11365,11562,11663,11670,11684,11730,11733,11766,11781,11844,11903,11919,12212,12240,12254,12283,12289,12383,12499,12666,12727,12877,13413,13417,3548,3511,12990,3697,12184,3413,4660,10686,10786,11250,11350,13437,3105,3106,3108,3109,3111,3112,3114,3115,3118,3119,3120,3122,3123,3125,3126,3135,3139,3141,3142,3145,3148,3152,3155,3156,3160,3164,3167,3173,3174,3179,3180,3188,3192,3196,3198,3199,3209,3219,3221,3222,3224,3225,3234,3247,3248,3251,3255,3256,3257,3258,3262,3263,3270,3281,4647,3288,3361,4648,3829,4059,11950,3338,11660,3474,3450,3453,10525,10528,10621,10624,10940,11675,11678,11792,11831,11836,11945,12404,12607,12820,12879,12881,12885,12899,12901,12938,12940,12943,12945,12974,13214,13382,13500,13505,13521,3424,12698,12702,12706,3430,3439,3951,4259,3407,13275,3559,12760,12845,3327,3328,3691,4045,11706,3547,3392,3324,3352,3809,3347,3545,4163,4053,3872,4633,4166,3336,3337,3314,3963,3372,3549,11097,11224,12500,12717,3423,4128,4669,10516,10683,11559,12658,12699,12703,4676,12670,3483,12032,12035,13309,13402,13466,13470,13474,13478,4086,4713,11276,11375,11615,11618,3458,3891,3478,3596,3815,3588,4690,3563,12914,12982,12984,3387,3388,10586,10916,4700,3650,3380,3305,3409,11696,4273,12688,12832,4130,11296,11431,11490,12642,12648,12777,12780,12810,4731,11199,11444,11553,11579,11623,11629,12586,4732,11329,11447,11556,4733,11450,11501,4734,11508,4735,3408,3689,12542,12583,12669,3856,3638,4544,4545,3673,3710,4667,11689,3833,3792,3835,4008,3758,13197,13201,13205,13209,13219,4736,4055,12533,3675,3934,3560,10605,10725,10803,10876,10879,10919,11019,11266,11880,12086,12208,12276,12354,12395,12471,12474,12814,13078,13116,13119,13180,13416,13421,3944,11936,3476,3572,11765,12047,13520,3753,4706,10493,10496,10522,10646,10821,11027,11042,11157,11601,11699,11879,12103,12108,12330,12333,12416,12589,12692,13024,13043,13046,13070,13120,13291,13296,13319,13324,4719,11808,11839,11876,11883,11916,13129,13133,3931,3698,3699,12229,13049,13052,13055,13058,13088,13091,13448,13452,13456,4078,3663,13453,3664,13449,3519,3521,3495,4703,3386,4664,3882,4195,3682,4720,4266,11576,3814,3532,12053,12056,12507,12611,12791,4711,10481,10484,10654,10749,10768,10775,10798,10806,10809,10826,11012,11253,11470,11759,11853,12001,12121,12124,4235,4194,12201,12557,4139,11094,12389,12567,12716,13469,4184,13473,4189,11299,12427,12506,12566,12610,13312,13440,4190,3857,11887,12211,12361,12438,12490,4223,3874,10649,10746,11302,11380,11463,11527,12382,12386,12452,12722,12787,12807,12817,13282,13348,13353,13373,13394,4723,11045,11455,12570,13361,3492,10614,10712,10862,10926,11001,11048,11051,11082,11105,11141,11179,11218,12004,12050,12181,12239,12257,12260,12263,12266,12445,12459,12462,12465,12468,12550,12614,12733,12783,13071,13094,13152,13172,13183,13188,13191,13194,13227,13238,13251,13302,13330,13333,3493,10641,10697,10931,11022,11144,11784,12083,12089,12100,12187,12198,12217,12222,12269,12292,12309,13085,13231,13254,13292,13297,13320,13325,3494,12477,12480,3568,12419,13149,13198,13202,13206,13210,13220,13224,4702,10533,10562,11066,11108,11117,11964,11985,12155,12158,12161,12164,12253,12272,12275,12288,12342,12345,12348,12351,12518,12521,12617,12620,12726,12769,12857,3645,10791,10882,11152,11196,11434,11437,11516,11598,11769,12015,12665,12853,12860,13274,4715,11075,11188,11209,11212,11279,11282,11293,11396,11404,11418,11458,11475,11484,11524,11565,11570,11573,11592,11595,11632,11637,11640,11643,11646,11886,12029,12062,12336,12339,12373,12420,12448,12595,12639,12645,12745,12748,12773,12831,12837,12848,12871,13148,13164,13167,13263,13386,13405,13408,13445,13465,13499,3553,10913,10943,10952,10955,10958,11545,12770,12784,13130,13134,13137,13140,3592,13430,13491,3585,4012,3949,10565,11939,11967,13111,4712,10513,10901,10904,11399,11415,11902,11955,11989,12016,12118,12143,12146,12149,12152,12415,13336,3513,10946,11102,11172,11968,12117,12314,12526,12551,13161,13433,13519,3973,12059,13065,4314,3704,4709,3984,4020,4693,4697,4698,3469,3473,4696,4694,4695,4481,3804,11932,4408,11791,4725,10812,10815,4730,11285,11288,11478,11589,11606,11652,4096,11649,11988,11992,12676,12684,12776,13278,13342,3939,11215,11221,11239,12236,12366,12451,12741,3788,11355,11481,12483,12592,12602,12681,12736,12744,12868,13285,4271,3941,10949,11318,11487,11521,11532,12680,12730,13378,3646,3756,10865,10868,10961,11128,3755,4728,11933,4724,13033,4729,10705,10818,12545,12554,12598,12801,12804,4369,11085,12563,12578,12601,4277,3972,12874,3917,3918,4726,10538,10541,10907,10910,11805,11993,12813,4727,11913,11998,3942,10871,11134,13420,4209,4743,4769,4824,4828,4856,4871,4878,4880,4916,4921,4950,4956,5042,5068,5069,5084,5106,5134,5135,5157,5158,5172,5176,5201,5207,5223,5227,5228,5229,5234,5235,5258,5282,5284,5285,5295,5300,5306,5342,5343,5351,5359,5363,5365,5379,5381,5387,5392,5393,5406,5412,5415,5416,5420,5453,5468,5477,5479,5480,5483,5484,5485,5495,5497,5503,5504,5505,5511,5515,5516,5517,5525,5529,5530,5536,5549,5557,5570,5572,5580,5582,5583,5586,5590,5617,5631,5632,5647,5659,5681,5687,5711,5712,5715,5734,5742,5743,5748,5749,5759,5761,5774,5778,5787,5788,5790,5791,5807,5812,5821,5822,5833,5840,5854,5858,5861,5867,5868,5869,5872,5877,5913,5914,5917,5919,5921,5923,5924,5925,5927,5929,5931,5936,5943,5958,5972,5978,5979,5982,5993,5994,6001,6005,6007,6012,6020,6058,6073,6082,6085,6094,6098,6099,6100,6101,6102,6107,6112,6122,6128,6146,6150,6159,6188,6203,6232,6249,6250,6253,6268,6270,6272,6274,6289,6290,6293,6295,6298,6299,6315,6323,6324,6325,6327,6329,6365,6366,6372,6375,6381,6385,6419,6421,6423,6425,6434,6436,6439,6445,6447,6452,6455,6463,6471,6473,6474,6481,6503,6504,6505,6506,6507,6509,6515,6520,6554,6555,6558,6559,6560,6562,6563,6564,6565,6572,6604,6605,6614,6635,6636,6658,6660,6672,6673,6679,6709,6711,6726,6765,6767,6768,6822,6845,6888,6902,6910,6919,6920,6921,6922,6940,6941,6948,6960,6963,6965,6967,6968,6969,6971,6985,6996,6997,6998,7011,7066,7077,7079,7102,7103,7137,7144,7151,7181,7212,7268,7297,7354,7375,7384,7387,7447,7457,7519,7521,7535,7544,7545,7546,7562,7566,7568,7614,7624,7627,7642,7689,7691,7694,7737,7738,7756,7826,7844,7868,7891,7903,7917,7928,7939,7940,7966,7968,7970,7979,8017,8028,8053,8080,8113,8144,8177,8216,8232,8234,8250,8251,8318,8329,8394,8418,8437,8464,8503,8504,8521,8560,8562,8564,8570,8586,8590,8605,8626,8634,8636,8646,8651,8655,8656,8657,8658,8659,8660,8679,8694,8695,8713,8714,8719,8720,8721,8722,8723,8741,8742,8743,8753,8766,8769,8780,8785,8787,8789,8790,8791,8798,8804,8812,8815,8832,8833,8842,8843,8851,8870,8883,8887,8908,8930,8931,8934,8935,8941,8950,8951,8974,8985,8995,8996,8997,9000,9023,9024,9035,9084,9090,9096,9098,9114,9117,9128,9129,9130,9141,9205,9236,9237,9238,9253,9270,9278,9306,9307,9375,9408,9414,9424,9425,9426,9435,9463,9479,9483,9487,9509,9510,9537,9601,9606,9609,9641,9642,9643,9667,9668,9685,9707,9713,9725,9750,9771,9780,9781,9782,9783,9798,9800,9805,9835,9836,9842,9843,9887,9888,9899,9900,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10116,10126,10128,10132,10133,10135,10144,10145,10165,10170,10266,10355,10356,10357,10358,10419,10437,2,12,13,4756,4757,4775,4817,4818,4820,4843,4849,4850,4860,4905,4907,4955,5085,5086,5099,5123,5179,5180,5186,5187,5189,5191,5200,5203,5204,5212,5225,5226,5232,5253,5254,5271,5276,5277,5278,5279,5283,5291,5294,5301,5356,5361,5362,5367,5373,5403,5413,5418,5434,5451,5452,5459,5460,5462,5473,5491,5493,5494,5501,5508,5509,5521,5522,5523,5524,5526,5527,5532,5533,5534,5535,5566,5567,5568,5576,5577,5578,5579,5623,5628,5630,5666,5668,5669,5671,5672,5674,5675,5677,5686,5691,5693,5694,5695,5697,5699,5700,5701,5702,5703,5704,5713,5723,5726,5737,5753,5754,5757,5767,5770,5771,5772,5799,5809,5824,5825,5834,5835,5837,5839,5844,5879,5884,5886,5945,5980,5981,5986,5992,5995,5996,5997,5998,6017,6021,6022,6031,6053,6086,6105,6106,6110,6111,6113,6136,6140,6143,6144,6145,6161,6172,6173,6205,6206,6210,6234,6237,6240,6262,6263,6291,6294,6303,6312,6314,6322,6326,6334,6335,6336,6337,6368,6369,6386,6438,6475,6477,6478,6500,6501,6508,6512,6513,6516,6530,6546,6567,6568,6573,6582,6597,6617,6623,6625,6640,6641,6645,6647,6648,6649,6651,6653,6654,6655,6659,6665,6666,6668,6669,6675,6677,6719,6725,6740,6743,6744,6745,6778,6783,6785,6790,6791,6801,6805,6817,6840,6841,6843,6844,6855,6859,6861,6880,6883,6903,6923,6934,6935,6936,6942,6956,6975,6977,6979,6981,6986,6992,6994,7008,7013,7014,7051,7052,7053,7068,7069,7071,7072,7092,7094,7109,7135,7159,7170,7172,7174,7176,7177,7209,7210,7211,7215,7216,7224,7226,7227,7228,7250,7259,7260,7271,7281,7321,7331,7337,7344,7355,7360,7362,7369,7377,7378,7391,7408,7429,7431,7450,7505,7506,7507,7509,7511,7515,7520,7581,7610,7625,7630,7641,7672,7675,7697,7721,7739,7742,7743,7753,7773,7775,7777,7779,7780,7781,7782,7783,7808,7834,7835,7867,7869,7870,7871,7876,7897,7914,7919,7925,7927,7935,7947,7948,7950,7971,7977,7998,8066,8067,8068,8116,8122,8123,8146,8147,8164,8165,8166,8223,8224,8253,8283,8292,8306,8321,8350,8354,8360,8372,8390,8395,8417,8462,8491,8505,8524,8527,8553,8579,8637,8638,8641,8642,8711,8745,8746,8747,8748,8775,8807,8836,8844,8845,8886,8907,8952,8968,9014,9017,9032,9039,9081,9124,9125,9143,9144,9158,9275,9280,9284,9304,9315,9338,9340,9343,9349,9351,9352,9362,9363,9382,9390,9400,9407,9418,9449,9467,9522,9523,9529,9568,9593,9598,9637,9647,9650,9651,9653,9654,9666,9690,9705,9715,9716,9718,9720,9749,9869,9870,9920,9921,9960,9996,10089,10107,10174,10242,10329,10347,10352,3,2829,2830,2834,2839,2842,2843,2844,2845,2847,2848,2849,2852,2868,2870,2871,2872,2873,2874,2875,2876,2877,2879,2880,2881,2882,2883,2884,2886,2887,2888,2894,2895,2897,2898,2899,2900,2901,2905,2907,2912,2923,2924,2925,2927,2929,2930,2936,2943,2944,2949,2954,2955,2956,2957,2958,2971,2973,2980,2981,2983,2984,2986,2987,2989,2990,2991,2992,2996,2997,2998,2999,3001,3025,3026,3039,3042,3043,3044,3053,3054,3081,5450,5490,5639,5640,5641,5724,5823,5853,5887,5903,5905,5911,5973,5974,5975,5976,5984,6019,6156,6194,6204,6231,6266,6304,6454,6459,6498,6499,6521,6523,6525,6532,6533,6534,6535,6536,6537,6538,6539,6618,6689,6690,6777,6812,6813,6852,6853,6993,7007,7063,7081,7082,7088,7110,7141,7143,7147,7191,7213,7214,7232,7233,7270,7315,7316,7415,7484,7485,7486,7487,7504,7536,7586,7587,7596,7601,7602,7613,7644,7645,7646,7647,7789,7790,7792,7794,7800,7801,8004,8007,8013,8014,8025,8063,8064,8142,8182,8236,8258,8259,8336,8430,8501,8502,8506,8539,8575,8601,8602,8669,8687,8688,8689,8690,8840,9100,9101,9172,9186,9239,9240,9359,9393,9419,9451,9492,9688,9812,9955,10143,10200,10202,6054,6602,6603,6692,6712,6713,7132,7353,8682,8761,9008,9195,9196,9266,9267,9446,9540,9541,9542,9543,9752,10019,10033,10405,10406,6674,8593,8594,9064,9082,10020,10404,4790,4822,4823,4826,4872,4876,4881,4922,5019,5036,5066,5067,5098,5156,5159,5219,5350,5388,5389,5391,5398,5399,5423,5467,5498,5520,5655,5729,5730,5731,5792,5849,5850,5876,5880,5939,5941,5950,5956,6035,6120,6226,6273,6330,6441,6566,6723,6929,7186,7358,7588,7651,7984,7986,8233,8239,8933,9062,9169,9269])).
% 207.27/207.99 cnf(13832,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x138321),x138322),f327(f285(x138323,x138321,x138324),f327(f285(x138325,x138323,x138326),f190(f922(x138325,a910))))))),
% 207.27/207.99 inference(rename_variables,[],[11567])).
% 207.27/207.99 cnf(13835,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x138351),x138352),f327(f311(x138351,x138353,x138354),f190(f922(x138353,a910)))))),
% 207.27/207.99 inference(rename_variables,[],[11211])).
% 207.27/207.99 cnf(13842,plain,
% 207.27/207.99 (E(f327(x138421,f327(f92(x138422,x138423,f242(f922(x138422,a910)),x138421),f327(x138421,x138424))),f327(x138421,x138424))),
% 207.27/207.99 inference(rename_variables,[],[11352])).
% 207.27/207.99 cnf(13847,plain,
% 207.27/207.99 (E(f327(x138471,f327(f92(x138472,x138473,f242(f922(x138472,a910)),x138471),f327(x138471,x138474))),f327(x138471,x138474))),
% 207.27/207.99 inference(rename_variables,[],[11352])).
% 207.27/207.99 cnf(13855,plain,
% 207.27/207.99 (P1(f327(f327(f235(a1),x138551),f327(f327(f80(a1),x138551),f78(a1))))),
% 207.27/207.99 inference(rename_variables,[],[11143])).
% 207.27/207.99 cnf(13858,plain,
% 207.27/207.99 (P1(f327(f327(f235(a1),x138581),f327(f327(f80(a1),x138581),f78(a1))))),
% 207.27/207.99 inference(rename_variables,[],[11143])).
% 207.27/207.99 cnf(13863,plain,
% 207.27/207.99 (~P1(f327(f327(f235(a915),x138631),f327(f191(f916(x138632)),f114(x138632))))),
% 207.27/207.99 inference(rename_variables,[],[12830])).
% 207.27/207.99 cnf(13876,plain,
% 207.27/207.99 (E(f327(x138761,f327(f92(x138762,x138763,f242(f922(x138762,a910)),x138761),f327(x138761,x138764))),f327(x138761,x138764))),
% 207.27/207.99 inference(rename_variables,[],[11352])).
% 207.27/207.99 cnf(13895,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x138951),x138952),f327(f285(x138953,x138951,x138954),f327(f285(x138955,x138953,x138956),f190(f922(x138955,a910))))))),
% 207.27/207.99 inference(rename_variables,[],[11567])).
% 207.27/207.99 cnf(13898,plain,
% 207.27/207.99 (E(f327(x138981,f327(f92(x138982,x138983,f242(f922(x138982,a910)),x138981),f327(x138981,x138984))),f327(x138981,x138984))),
% 207.27/207.99 inference(rename_variables,[],[11352])).
% 207.27/207.99 cnf(13904,plain,
% 207.27/207.99 (E(f327(x139041,f327(f92(x139042,x139043,f242(f922(x139042,a910)),x139041),f327(x139041,x139044))),f327(x139041,x139044))),
% 207.27/207.99 inference(rename_variables,[],[11352])).
% 207.27/207.99 cnf(13907,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x139071,x139072)),x139073),f327(f310(f921(x139074,x139074),f921(x139071,x139072),f258(x139074,x139071,x139074,x139072,x139075,x139076)),f154(x139074,f114(f922(x139074,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11651])).
% 207.27/207.99 cnf(13910,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x139101,x139102)),x139103),f327(f310(f921(x139104,x139104),f921(x139101,x139102),f258(x139104,x139101,x139104,x139102,x139105,x139106)),f154(x139104,f114(f922(x139104,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11651])).
% 207.27/207.99 cnf(13913,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x139131,x139132)),x139133),f327(f310(f921(x139134,x139134),f921(x139131,x139132),f258(x139134,x139131,x139134,x139132,x139135,x139136)),f154(x139134,f114(f922(x139134,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11651])).
% 207.27/207.99 cnf(13916,plain,
% 207.27/207.99 (~P1(f327(f327(f329(x139161),x139162),f327(f285(x139163,x139161,x139164),f327(f285(x139165,x139163,x139166),f190(f922(x139165,a910))))))),
% 207.27/207.99 inference(rename_variables,[],[11567])).
% 207.27/207.99 cnf(13919,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x139191,x139192)),x139193),f327(f310(f921(x139194,x139194),f921(x139191,x139192),f258(x139194,x139191,x139194,x139192,x139195,x139196)),f154(x139194,f114(f922(x139194,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11651])).
% 207.27/207.99 cnf(13922,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x139221,x139222)),x139223),f327(f310(f921(x139224,x139224),f921(x139221,x139222),f258(x139224,x139221,x139224,x139222,x139225,x139226)),f154(x139224,f114(f922(x139224,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11651])).
% 207.27/207.99 cnf(13925,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x139251,x139252)),x139253),f327(f310(f921(x139254,x139254),f921(x139251,x139252),f258(x139254,x139251,x139254,x139252,x139255,x139256)),f154(x139254,f114(f922(x139254,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11651])).
% 207.27/207.99 cnf(13931,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x139311,x139311)),x139312),f263(x139311,f190(f922(x139311,a910)))))),
% 207.27/207.99 inference(rename_variables,[],[11208])).
% 207.27/207.99 cnf(13934,plain,
% 207.27/207.99 (E(f327(x139341,f327(f92(x139342,x139343,f242(f922(x139342,a910)),x139341),f327(x139341,x139344))),f327(x139341,x139344))),
% 207.27/207.99 inference(rename_variables,[],[11352])).
% 207.27/207.99 cnf(13944,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x139441,a910)),f327(f285(x139442,x139441,x139443),f190(f922(x139442,a910)))),x139444))),
% 207.27/207.99 inference(rename_variables,[],[11531])).
% 207.27/207.99 cnf(13947,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x139471,x139471)),x139472),f263(x139471,f190(f922(x139471,a910)))))),
% 207.27/207.99 inference(rename_variables,[],[11208])).
% 207.27/207.99 cnf(13950,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x139501,a910)),x139502),f327(f327(f102(f922(x139501,a910)),x139503),x139502)))),
% 207.27/207.99 inference(rename_variables,[],[4083])).
% 207.27/207.99 cnf(13953,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x139531),f916(x139531))),f327(f327(f252(f916(x139531),f916(x139531)),x139532),x139533)),f158(x139531,f154(x139531,f114(f922(x139531,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11605])).
% 207.27/207.99 cnf(13962,plain,
% 207.27/207.99 (~E(f327(f72(x139621,x139622,x139623,a113),x139624),x139624)),
% 207.27/207.99 inference(rename_variables,[],[11146])).
% 207.27/207.99 cnf(13967,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x139671,a910)),f327(f173(x139671),f327(f327(f139(x139671),x139672),x139673))),f327(f173(x139671),x139673)))),
% 207.27/207.99 inference(rename_variables,[],[4185])).
% 207.27/207.99 cnf(13970,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x139701),f916(x139701))),f327(f327(f252(f916(x139701),f916(x139701)),x139702),x139703)),f158(x139701,f154(x139701,f114(f922(x139701,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11605])).
% 207.27/207.99 cnf(13978,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x139781,a910)),x139782),f327(f327(f102(f922(x139781,a910)),x139783),x139782)))),
% 207.27/207.99 inference(rename_variables,[],[4083])).
% 207.27/207.99 cnf(13983,plain,
% 207.27/207.99 (P1(f327(f327(f234(a915),x139831),f327(f327(f80(a915),x139832),x139831)))),
% 207.27/207.99 inference(rename_variables,[],[3754])).
% 207.27/207.99 cnf(13986,plain,
% 207.27/207.99 (~P1(f327(f327(f255(x139861,x139862,a910,f327(f173(x139863),f114(x139863))),x139864),x139865))),
% 207.27/207.99 inference(rename_variables,[],[11469])).
% 207.27/207.99 cnf(13989,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x139891,x139891)),x139892),f154(x139891,f114(f922(x139891,a915)))))),
% 207.27/207.99 inference(rename_variables,[],[12403])).
% 207.27/207.99 cnf(13992,plain,
% 207.27/207.99 (P1(f327(f327(f234(a1),f46(a915,x139921,f190(a915))),x139921))),
% 207.27/207.99 inference(rename_variables,[],[12082])).
% 207.27/207.99 cnf(14013,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x140131),f916(x140131))),f327(f327(f252(f916(x140131),f916(x140131)),x140132),x140133)),f158(x140131,f154(x140131,f114(f922(x140131,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11605])).
% 207.27/207.99 cnf(14029,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x140291,a910)),x140292),f327(f327(f102(f922(x140291,a910)),x140293),x140292)))),
% 207.27/207.99 inference(rename_variables,[],[4083])).
% 207.27/207.99 cnf(14049,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x140491,a910)),f327(f285(x140492,x140491,f190(f922(f921(x140492,x140491),a910))),x140493)),x140494))),
% 207.27/207.99 inference(rename_variables,[],[11486])).
% 207.27/207.99 cnf(14067,plain,
% 207.27/207.99 (P1(f327(f327(f329(f921(x140671,x140671)),f327(f327(f252(x140671,x140671),x140672),x140672)),f327(f327(f289(x140671,x140671,x140671),f307(x140671,x140673)),f307(x140671,f307(x140671,x140673)))))),
% 207.27/207.99 inference(rename_variables,[],[12798])).
% 207.27/207.99 cnf(14070,plain,
% 207.27/207.99 (P1(f327(f327(f234(a910),x140701),x140701))),
% 207.27/207.99 inference(rename_variables,[],[12482])).
% 207.27/207.99 cnf(14073,plain,
% 207.27/207.99 (~P1(f327(f327(f255(x140731,x140732,a910,f327(f173(x140733),f114(x140733))),x140734),x140735))),
% 207.27/207.99 inference(rename_variables,[],[11469])).
% 207.27/207.99 cnf(14087,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x140871,a910)),f327(f285(x140872,x140871,f190(f922(f921(x140872,x140871),a910))),x140873)),x140874))),
% 207.27/207.99 inference(rename_variables,[],[11486])).
% 207.27/207.99 cnf(14106,plain,
% 207.27/207.99 (P1(f327(f327(f235(a1),f327(f327(f23(a1),x141061),f78(a1))),x141061))),
% 207.27/207.99 inference(rename_variables,[],[11021])).
% 207.27/207.99 cnf(14113,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x141131),f916(x141131))),f327(f327(f252(f916(x141131),f916(x141131)),x141132),x141133)),f158(x141131,f154(x141131,f114(f922(x141131,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11605])).
% 207.27/207.99 cnf(14116,plain,
% 207.27/207.99 (~P32(x141161,x141162,x141163,f327(f327(f155(x141164,x141161),x141165),f327(a113,f114(x141164))),f114(x141162))),
% 207.27/207.99 inference(rename_variables,[],[11492])).
% 207.27/207.99 cnf(14119,plain,
% 207.27/207.99 (~P1(f327(f327(f235(a915),f327(f251(x141191,x141192),f327(f327(f252(x141191,x141192),x141193),f159(x141194,x141195)))),x141193))),
% 207.27/207.99 inference(rename_variables,[],[12520])).
% 207.27/207.99 cnf(14137,plain,
% 207.27/207.99 (~P1(f327(f327(f234(a915),f327(f327(f80(a915),f327(a113,x141371)),x141372)),x141372))),
% 207.27/207.99 inference(rename_variables,[],[13265])).
% 207.27/207.99 cnf(14144,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x141441),f916(x141441))),f327(f327(f252(f916(x141441),f916(x141441)),x141442),x141443)),f158(x141441,f154(x141441,f114(f922(x141441,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11605])).
% 207.27/207.99 cnf(14149,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x141491,x141492)),x141493),f327(f310(f921(x141494,x141494),f921(x141491,x141492),f258(x141494,x141491,x141494,x141492,x141495,x141496)),f154(x141494,f114(f922(x141494,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11651])).
% 207.27/207.99 cnf(14154,plain,
% 207.27/207.99 (~E(f327(f327(f152(x141541),x141542),x141543),f327(f169(x141541),f114(x141541)))),
% 207.27/207.99 inference(rename_variables,[],[13546])).
% 207.27/207.99 cnf(14165,plain,
% 207.27/207.99 (E(f327(x141651,f327(f92(x141652,x141653,f242(f922(x141652,a910)),x141651),f327(x141651,x141654))),f327(x141651,x141654))),
% 207.27/207.99 inference(rename_variables,[],[11352])).
% 207.27/207.99 cnf(14170,plain,
% 207.27/207.99 (P1(f327(f327(f235(a1),f327(f327(f23(a1),x141701),f78(a1))),x141701))),
% 207.27/207.99 inference(rename_variables,[],[11021])).
% 207.27/207.99 cnf(14175,plain,
% 207.27/207.99 (~P1(f327(f327(f235(a915),x141751),f327(f191(f916(x141752)),f114(x141752))))),
% 207.27/207.99 inference(rename_variables,[],[12830])).
% 207.27/207.99 cnf(14178,plain,
% 207.27/207.99 (~E(x141781,f327(f327(f152(x141782),x141783),x141781))),
% 207.27/207.99 inference(rename_variables,[],[11140])).
% 207.27/207.99 cnf(14192,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x141921),f916(x141921))),f327(f327(f252(f916(x141921),f916(x141921)),x141922),f114(x141921))),f327(f286(f916(x141921),f916(x141921)),f158(x141921,x141923))))),
% 207.27/207.99 inference(rename_variables,[],[11500])).
% 207.27/207.99 cnf(14207,plain,
% 207.27/207.99 (P1(f327(f327(f234(a915),x142071),f327(f327(f80(a915),x142072),x142071)))),
% 207.27/207.99 inference(rename_variables,[],[3754])).
% 207.27/207.99 cnf(14210,plain,
% 207.27/207.99 (~P1(f327(f327(f255(x142101,x142102,a910,f327(f173(x142103),f114(x142103))),x142104),x142105))),
% 207.27/207.99 inference(rename_variables,[],[11469])).
% 207.27/207.99 cnf(14215,plain,
% 207.27/207.99 (~E(x142151,f327(f327(f152(x142152),x142153),x142151))),
% 207.27/207.99 inference(rename_variables,[],[11140])).
% 207.27/207.99 cnf(14233,plain,
% 207.27/207.99 (~P1(f327(f327(f67(f916(x142331),f916(x142331),f146(x142331,x142332)),x142333),f114(x142331)))),
% 207.27/207.99 inference(rename_variables,[],[11326])).
% 207.27/207.99 cnf(14236,plain,
% 207.27/207.99 (E(f327(x142361,f327(f92(x142362,x142363,f242(f922(x142362,a910)),x142361),f327(x142361,x142364))),f327(x142361,x142364))),
% 207.27/207.99 inference(rename_variables,[],[11352])).
% 207.27/207.99 cnf(14248,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x142481,x142482)),x142483),f327(f310(f921(x142484,x142484),f921(x142481,x142482),f258(x142484,x142481,x142484,x142482,x142485,x142486)),f154(x142484,f114(f922(x142484,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11651])).
% 207.27/207.99 cnf(14261,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x142611),f916(x142611))),f327(f327(f252(f916(x142611),f916(x142611)),f114(x142611)),x142612)),f327(f286(f916(x142611),f916(x142611)),f146(x142611,x142613))))),
% 207.27/207.99 inference(rename_variables,[],[11452])).
% 207.27/207.99 cnf(14266,plain,
% 207.27/207.99 (~P1(f327(f327(f255(x142661,x142662,a910,f327(f173(x142663),f114(x142663))),x142664),x142665))),
% 207.27/207.99 inference(rename_variables,[],[11469])).
% 207.27/207.99 cnf(14274,plain,
% 207.27/207.99 (~E(f327(f258(x142741,x142742,x142743,x142743,f310(x142744,f922(x142744,a910),x142745),f31(x142743)),x142746),f327(f258(x142741,x142742,x142743,x142743,f308(x142744),f31(x142743)),x142746))),
% 207.27/207.99 inference(rename_variables,[],[11614])).
% 207.27/207.99 cnf(14279,plain,
% 207.27/207.99 (~P1(f327(f327(f235(a915),x142791),f327(f191(f916(x142792)),f114(x142792))))),
% 207.27/207.99 inference(rename_variables,[],[12830])).
% 207.27/207.99 cnf(14282,plain,
% 207.27/207.99 (P1(f327(f327(f235(a1),f327(f327(f23(a1),x142821),f78(a1))),x142821))),
% 207.27/207.99 inference(rename_variables,[],[11021])).
% 207.27/207.99 cnf(14297,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(x142971,x142972)),x142973),f327(f310(f921(x142974,x142974),f921(x142971,x142972),f258(x142974,x142971,x142974,x142972,x142975,x142976)),f154(x142974,f114(f922(x142974,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11651])).
% 207.27/207.99 cnf(14300,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x143001,a910)),x143002),f327(f327(f102(f922(x143001,a910)),x143003),f242(f922(x143001,a910)))))),
% 207.27/207.99 inference(rename_variables,[],[11462])).
% 207.27/207.99 cnf(14309,plain,
% 207.27/207.99 (~P1(f327(f327(f255(x143091,x143092,a910,f327(f173(x143093),f114(x143093))),x143094),x143095))),
% 207.27/207.99 inference(rename_variables,[],[11469])).
% 207.27/207.99 cnf(14322,plain,
% 207.27/207.99 (P1(f327(f327(f234(a1),f46(a915,x143221,f190(a915))),x143221))),
% 207.27/207.99 inference(rename_variables,[],[12082])).
% 207.27/207.99 cnf(14327,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x143271,a910)),f327(f327(f23(f922(x143271,a910)),x143272),x143273)),x143272))),
% 207.27/207.99 inference(rename_variables,[],[4208])).
% 207.27/207.99 cnf(14337,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x143371),f916(x143371))),f327(f327(f252(f916(x143371),f916(x143371)),x143372),x143373)),f158(x143371,f154(x143371,f114(f922(x143371,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11605])).
% 207.27/207.99 cnf(14355,plain,
% 207.27/207.99 (E(f327(f327(f155(x143551,x143551),f5(x143551)),x143552),x143552)),
% 207.27/207.99 inference(rename_variables,[],[3507])).
% 207.27/207.99 cnf(14423,plain,
% 207.27/207.99 (P1(f327(f327(f234(f922(x144231,a910)),f327(f327(f23(f922(x144231,a910)),x144232),x144233)),x144232))),
% 207.27/207.99 inference(rename_variables,[],[4208])).
% 207.27/207.99 cnf(14470,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x144701),f916(x144701))),f327(f327(f252(f916(x144701),f916(x144701)),x144702),x144703)),f158(x144701,f154(x144701,f114(f922(x144701,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11605])).
% 207.27/207.99 cnf(14475,plain,
% 207.27/207.99 (~P1(f327(f327(f329(f921(f916(x144751),f916(x144751))),f327(f327(f252(f916(x144751),f916(x144751)),x144752),x144753)),f158(x144751,f154(x144751,f114(f922(x144751,a915))))))),
% 207.27/207.99 inference(rename_variables,[],[11605])).
% 207.27/207.99 cnf(14492,plain,
% 207.27/207.99 ($false),
% 207.27/207.99 inference(scs_inference,[],[4046,4461,3754,13983,14207,3619,4185,13967,4098,3943,4670,3507,14355,4699,4038,4103,4208,14327,14423,3585,3495,4116,4083,13950,13978,14029,4696,11226,10716,11465,12947,11480,13341,12793,11384,11326,14233,13546,14154,11441,11452,14261,11500,14192,10965,11507,10552,11140,14178,14215,12798,14067,13380,11820,11614,14274,11352,13842,13847,13876,13898,13904,13934,14165,14236,13602,12834,10795,12855,11605,13953,13970,14013,14113,14144,14337,14470,14475,11651,13907,13910,13913,13919,13922,13925,14149,14248,14297,11567,13832,13895,13916,11636,12294,10945,13360,13510,13277,11208,13931,13947,12403,13989,11211,13835,11469,13986,14073,14210,14266,14309,11486,14049,14087,11190,11531,13944,11462,14300,12756,11492,14116,10660,11146,13962,13656,13154,12221,12569,12006,13299,13626,12482,14070,12591,12830,13863,14175,14279,10462,12520,14119,12154,12256,13439,13265,14137,11494,11065,12347,12476,11021,14106,14170,14282,12136,11804,12082,13992,14322,11398,11367,12582,12186,13067,10930,11143,13855,13858,11414,11828,10548,13600,10855,11970,12028,12140,12180,11114,11873,3097,3524,3438,3489,3700,4722,3859,4735,3804,3939,4781,4935,5034,5607,5707,5708,5875,5933,5942,6181,6228,6256,6279,6431,6661,6691,6731,7020,7078,7510,7915,8105,8156,8157,8158,8895,9063,9188,4765,5215,5396,5397,5575,6930,7264,7265,7768,8998,8999,9015,9016,9596,5298,9409,4950,5379,6434,8144,9024,10358,6385,6709,8503,5480,6996,7151,9426,5156,7588,8437,6058,6515,6726,8997,6463,9945,5498,5406,5936,5135,5201,5391,6372,9414,10356,6922,5227,6673,9253,7614,8232,4828,5515,5659,5477,5919,6112,6845,7212,6503,8720,5921,5822,6968,5858,8695,8833,9128,5505,5923,6289,6572,8722,6520,6425,6509,10437,5572,8785,5468,9887,4880,5453,5761,6636,8521,8660,9954,5285,6635,5042,6073,5759,8329,8933,8655,9035,10266,7939,8658,5880,10081,7756,9843,7624,5084,7066,4823,4921,5788,6658,7691,8887,10116,5479,6150,7387,7562,9237,7102,9601,5219,5943,6902,7544,5972,6767,8851,6985,5743,8590,6203,6327,8028,8719,10027,4826,5415,5950,8626,10031,5730,4872,5913,4871,9117,9642,5956,8562,8985,6272,10133,9771,5229,5681,7354,9609,8394,8080,4824,8753,8930,9781,5929,5019,6100,6566,9537,9606,4769,5861,6822,7689,9435,7566,6436,8636,9959,5207,6679,6940,9835,5350,5483,5517,6330,8790,5821,6919,4916,6098,7737,9888,5647,5749,5868,6107,6506,8659,5423,5342,9269,9307,8233,5295,5958,6146,8017,5495,6723,8564,5157,5392,5632,6452,6253,6323,6614,8586,7917,6188,6971,9205,9805,5393,6605,5590,10132,5617,6967,8789,9641,6768,9238,5516,9966,10126,8832,9270,5927,4856]),
% 207.27/207.99 ['proof']).
% 207.27/208.00 % SZS output end Proof
% 207.27/208.00 % Total time :189.270000s
%------------------------------------------------------------------------------